From b49a7894ce7bd3b1f46fdd2382103e5b186bd1a7 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 14 Jan 2023 20:22:55 +0900
Subject: [PATCH 01/94] Models are now added to the ignore list

---
 TODO.md     | 41 +++++++++++++++++++++++++++++++++++------
 renderer.js | 34 ++++++++++++++++------------------
 2 files changed, 51 insertions(+), 24 deletions(-)

diff --git a/TODO.md b/TODO.md
index bf94cbb..b25a001 100644
--- a/TODO.md
+++ b/TODO.md
@@ -1,12 +1,15 @@
 # LSR: To-do List
 
 - [LSR: To-do List](#lsr-to-do-list)
-  - [1.00, the Mistletoe Update](#100-the-mistletoe-update)
+  - [1.00, Mistletoe ed.](#100-mistletoe-ed)
   - [0.21: Completed](#021-completed)
   - [0.20: Completed](#020-completed)
   - [Impossible or Scrapped](#impossible-or-scrapped)
 
-## 1.00, the Mistletoe Update
+## 1.00, Mistletoe ed.
+
+- [ ] Arrange coding streams
+  - Ask if people would be interested
 
 - [ ] Add more comments in the code
 - [ ] Turtle controls summary page in guide
@@ -28,14 +31,23 @@
   - [ ] Remove the backtrack list option
     - Also, backtrack on the way back and forward needs different lists?
 
+- [ ] Turning angles
+  - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
+  - [ ] Button to change mode between degrees and radians
+
+- [ ] Implement Mersenne Twister instead of th fucjuing Lcg
+
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Can multiple derivations on the same rule still be made? Ruins parity
   - Allow both modes to exist
+  - Difficulty: multiple derivations
+
+- [ ] Investigate tropism (capital T) only available for parametric
 
 - [ ] Change how models work:
   - Stochastic models are no longer available
-    - Please define stochastic rules for the actual symbol instead, pre-model 
+    - Instead define stochastic rules for the actual symbol instead, pre-model 
   - Models are no longer recursively derived
     - This will remove their permanence
   - Instead, they will be processed by the renderer using a queue
@@ -45,11 +57,27 @@
     - Easy, just add the model map's keys to the set
     - Update the manual
   - Backtrack models?
+- [ ] Counter argument:
+  - Permanence can be solved by cutting with `%`, albeit with a 1 tick cost for
+  renderer hesitation (or 2)
+    - Solution: Renderer only pushes on `[` if the position / ori has changed
+    - This makes more sense thematically, as cut wounds will leave scars
+      - Lemma's Garden: this will slightly slow down growth
+  - If models were to be processed by renderer, then they cannot evolve
+  - Having a model also means that symbol should be ignored (no extra F)
+    - Easy, just add the model map's keys to the set
+    - Update the manual
+  - Lemma's Garden: Complex models such as flowers will bog down the growth cost
 
 - [ ] Parametric systems
-  - Different classes or merge into regular?
-    - Different classes means less overhead processing for regular systems
-  - Regex magic to separate string to actual sequence of symbols?
+  - Different classes
+    - Button in LS menu / save menu to switch modes?
+    - Theory settings?
+    - Lemma stages?
+  - Top-down processing priority
+    - Buttons in LS menu to move up down (swap rules)
+      - How to update rule entries?
+  - [ ] Regex magic to separate string into actual sequence of symbols
   - Equal comparison changed to `==` instead of `=` in abop to differentiate
   from the syntax
   - Store as an extra array of objects
@@ -59,6 +87,7 @@
 
 - [ ] Context sensitivity
   - `b < a > c → aa`
+  - Parametric: **context ignore** replaces regular ignore list in LS menu
   - Skipping over brackets? hmm, difficult
     - Mapping vertex depth, can be checked by tracking brackets and stacks.
     - Actually it's pretty hard to make an algo for this, because it could be:
diff --git a/renderer.js b/renderer.js
index d739dfa..1b7d854 100644
--- a/renderer.js
+++ b/renderer.js
@@ -42,10 +42,7 @@ var getName = (language) =>
         en: 'L-systems Renderer',
     };
 
-    if(language in names)
-        return names[language];
-
-    return names.en;
+    return names[language] || names.en;
 }
 var getDescription = (language) =>
 {
@@ -68,10 +65,7 @@ Warning: v0.20 might break your internal state. Be sure to back it up, and ` +
 `in case it's corrupted, please contact me.`,
     };
 
-    if(language in descs)
-        return descs[language];
-
-    return descs.en;
+    return descs[language] || descs.en;
 }
 var authors =   'propfeds#5988\n\nThanks to:\nSir Gilles-Philippe Paillé, ' +
                 'for providing help with quaternions\nskyhigh173#3120, for ' +
@@ -810,7 +804,7 @@ let getLoc = (name, lang = menuLang) =>
     if(name in locStrings.en)
         return locStrings.en[name];
     
-    return `String not found: ${lang}.${name}`;
+    return `String missing: ${lang}.${name}`;
 }
 
 /**
@@ -1043,7 +1037,7 @@ class LSystem
         this.rules = new Map();
         this.contextRules = new Map();
         /**
-         * @type {string} a list of symbols ignored by the renderer.
+         * @type {set} a list of symbols ignored by the renderer.
          * @public
          */
         this.ignoreList = new Set(ignoreList);
@@ -1075,18 +1069,22 @@ class LSystem
                     if(rs[0].length == 1)
                         this.rules.set(rs[0], rs[1]);
                     else if(rs[0].length == 2 && rs[0][0] == '~')
+                    {
                         this.models.set(rs[0][1], rs[1]);
+                        this.ignoreList.add(rs[0][1]);
+                    }
                 }
                 else
                 {
-                    // Models can't have stochastic rules sadly, due to how
-                    // derivations work.
                     for(let i = 0; i < rder.length; ++i)
                         rder[i] = rder[i].trim();
                     if(rs[0].length == 1)
                         this.rules.set(rs[0], rder);
                     else if(rs[0].length == 2 && rs[0][0] == '~')
+                    {
                         this.models.set(rs[0][1], rder);
+                        this.ignoreList.add(rs[0][1]);
+                    }
                 }
             }
         }
@@ -1636,7 +1634,7 @@ class Renderer
      * Applies a new L-system to the renderer.
      * @param {LSystem} system the new system.
      */
-    set applySystem(system)
+    set constructSystem(system)
     {
         this.system = system;
         this.levels = [];
@@ -2691,7 +2689,7 @@ var getUpgradeListDelegate = () =>
     let resumeButton = createButton(Localization.format(getLoc('btnResume'),
     tmpSystemName), () =>
     {
-        renderer.applySystem = tmpSystem;
+        renderer.constructSystem = tmpSystem;
         tmpSystem = null;
     }, ui.screenHeight * 0.05);
     resumeButton.content.horizontalOptions = LayoutOptions.CENTER;
@@ -3457,7 +3455,7 @@ let createSystemMenu = () =>
                             onClicked: () =>
                             {
                                 Sound.playClick();
-                                renderer.applySystem = new LSystem(tmpAxiom,
+                                renderer.constructSystem = new LSystem(tmpAxiom,
                                 tmpRules, tmpAngle, tmpSeed, tmpIgnore);
                                 if(tmpSystem)
                                 {
@@ -3703,7 +3701,7 @@ let createSystemClipboardMenu = (values) =>
                         let sv = JSON.parse(tmpSys);
                         tmpSystemName = sv.title;
                         tmpSystemDesc = sv.desc;
-                        renderer.applySystem = new LSystem(sv.system.axiom,
+                        renderer.constructSystem = new LSystem(sv.system.axiom,
                         sv.system.rules, sv.system.turnAngle,
                         sv.system.seed, sv.system.ignoreList);
                         tmpSystem = null;
@@ -4106,7 +4104,7 @@ let createViewMenu = (title) =>
                             onClicked: () =>
                             {
                                 Sound.playClick();
-                                renderer.applySystem = new LSystem(tmpAxiom,
+                                renderer.constructSystem = new LSystem(tmpAxiom,
                                 tmpRules, tmpAngle, tmpSeed, tmpIgnore);
                                 tmpSystem = null;
                                 renderer.configureStaticCamera(tmpZE, tmpCX,
@@ -4451,7 +4449,7 @@ let createManualMenu = () =>
                             {
                                 Sound.playClick();
                                 let s = manualSystems[page];
-                                renderer.applySystem = s.system;
+                                renderer.constructSystem = s.system;
                                 tmpSystem = null;
                                 if('config' in s)
                                     renderer.configureStaticCamera(...s.config);

From c88a835aa76e6136165ec93b089da24dd788fcd5 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 14 Jan 2023 20:37:14 +0900
Subject: [PATCH 02/94] Referenced new change in the manual

---
 TODO.md     | 8 ++++----
 renderer.js | 5 ++---
 2 files changed, 6 insertions(+), 7 deletions(-)

diff --git a/TODO.md b/TODO.md
index b25a001..0ad068b 100644
--- a/TODO.md
+++ b/TODO.md
@@ -12,6 +12,7 @@
   - Ask if people would be interested
 
 - [ ] Add more comments in the code
+- [ ] Update docstrings
 - [ ] Turtle controls summary page in guide
 - [ ] A more detailed README
   - Showcases the power of tickspeed and stroke options
@@ -40,8 +41,7 @@
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Can multiple derivations on the same rule still be made? Ruins parity
-  - Allow both modes to exist
-  - Difficulty: multiple derivations
+  - [ ] Allow both modes to exist
 
 - [ ] Investigate tropism (capital T) only available for parametric
 
@@ -64,9 +64,9 @@
     - This makes more sense thematically, as cut wounds will leave scars
       - Lemma's Garden: this will slightly slow down growth
   - If models were to be processed by renderer, then they cannot evolve
-  - Having a model also means that symbol should be ignored (no extra F)
+  - [x] Having a model also means that symbol should be ignored (no extra F)
     - Easy, just add the model map's keys to the set
-    - Update the manual
+    - [x] Update the manual
   - Lemma's Garden: Complex models such as flowers will bog down the growth cost
 
 - [ ] Parametric systems
diff --git a/renderer.js b/renderer.js
index 1b7d854..19e11f3 100644
--- a/renderer.js
+++ b/renderer.js
@@ -83,7 +83,6 @@ let measurePerformance = false;
 let maxCharsPerTick = 5000;
 
 let savedSystems = new Map();
-let savedModels = new Map();
 
 const DEFAULT_BUTTON_HEIGHT = ui.screenHeight * 0.055;
 const ENTRY_CHAR_LIMIT = 5000;
@@ -107,7 +106,7 @@ const locStrings =
         varTsDesc: '\\text{{Tickspeed: }}{0}/\\text{{sec}}',
         upgResumeInfo: 'Resumes the last rendered system',
 
-        saPatienceTitle: 'Watching Grass Grow',
+        saPatienceTitle: 'You\'re watching grass grow.',
         saPatienceDesc: 'Let the renderer draw a 10-minute long figure or ' +
         'playlist.',
         saPatienceHint: 'Be patient.',
@@ -613,7 +612,7 @@ To declare a model rule, attach a tilde in front of the symbol on the left side:
 To reference a model in another rule, attach a tilde in front of the symbol ` +
 `in the same way it was declared.
 Note: The symbol will not disappear from the rule after the model has been ` +
-`drawn.`
+`drawn, but it will be ignored by the turtle.`
             },
             {
                 title: 'Example: Lilac branch',

From ac737a32a8550aa9b08ae4991a33131c65f68708 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 14 Jan 2023 21:04:39 +0900
Subject: [PATCH 03/94] Added a summary of turtle commands to guide

---
 renderer.js | 40 ++++++++++++++++++++++++++++++++--------
 1 file changed, 32 insertions(+), 8 deletions(-)

diff --git a/renderer.js b/renderer.js
index 19e11f3..e2c8e95 100644
--- a/renderer.js
+++ b/renderer.js
@@ -349,7 +349,7 @@ Level 5: abaababa`
 `comprehend this crap though.
 
 Here are the basic symbols and their respective instructions:
-F: moves turtle forward to draw a line of length 1 (usually).
+F: moves turtle forward to draw a line of length 1.
 +: rotates turtle counter-clockwise by an angle.
 -: rotates turtle clockwise by an angle.
 
@@ -506,7 +506,10 @@ Note: In other L-system implementations, < and > may be used instead of \\ ` +
 
 Note 2: Other L-system implementations may also start the turtle facing the ` +
 `y-axis or z-axis instead of the x-axis. To adopt those systems into LSR, ` +
-`swap the axes around until the desired results are achieved.`
+`swap the axes around until the desired results are achieved.
+
+Note 3: Other L-system implementations may swap counter-clockwise and ` +
+`clockwise rotations.`
             },
             {
                 title: 'Example: Blackboard tree',
@@ -632,6 +635,27 @@ Applies static camera:
 Scale: 3*lv
 Centre: (1.5*lv, 0, 0)
 Upright`
+            },
+            {
+                title: 'Appendix: Summary of symbols',
+                contents:
+`Any letter: moves turtle forward to draw a line of length 1.
++ -: rotate turtle on the z-axis (yaw).
+& ^: rotate turtle on the y-axis (pitch).
+\\ /: rotate turtle on the x-axis (roll).
+(counter-clockwise and clockwise, respectively)
+|: reverses turtle direction.
+
+[: pushes the turtle's state onto a stack.
+]: pops the stack's topmost element onto the turtle.
+%: cuts off the remainder of a branch.
+
+{: initiates polygon drawing mode.
+.: sets a polygon vertex.
+}: ends the polygon drawing mode.
+
+~: declares/references a symbol's model.
+,: separates between stochastic derivations.`
             },
             {
                 title: 'Appendix: Advanced artistry in LSR',
@@ -780,9 +804,9 @@ Centre: (0.75*3^lv, -0.25*3^lv, 0)
 Upright`
             },
             {
-                title: 'Appendix: LG',
+                title: 'Appendix: Lemma\'s Garden',
                 contents:
-`Here's to LG.`
+`Here's to LG, coming out in Never.`
             }
         ]
     }
@@ -2319,7 +2343,7 @@ const ZAxisQuat = new Quaternion(0, 0, 0, 1);
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
 let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');
 let globalSeed = new LCG(Date.now());
-let contentsTable = [1, 2, 3, 4, 5, 6, 7, 10, 12, 15, 19, 21, 23, 26];
+let contentsTable = [1, 2, 3, 4, 5, 6, 7, 10, 12, 15, 19, 21, 23, 24, 27];
 let manualSystems =
 {
     11:
@@ -2415,17 +2439,17 @@ let manualSystems =
         ], 30),
         config: ['3*lv', '1.5*lv', 0, 0, true]
     },
-    27:
+    28:
     {
         system: new LSystem('X', ['F=FF', 'X=F-[[X]+X]+F[-X]-X'], 15),
         config: ['2^lv', '2^lv', 0, 0, true]
     },
-    28:
+    29:
     {
         system: new LSystem('X', ['F=F[+F]XF', 'X=F-[[X]+X]+F[-FX]-X'], 27),
         config: ['1.5*2^lv', '0.225*2^lv', '-0.75*2^lv', 0, false]
     },
-    29:
+    30:
     {
         system: new LSystem('X', [
             'E=XEXF-',

From ea5f75dc873cf8adc05060a7ab5ea3a6b52db96e Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 14 Jan 2023 22:06:02 +0900
Subject: [PATCH 04/94] Stochastic rules can now be stacked

---
 TODO.md     | 12 +++++++++---
 renderer.js | 55 +++++++++++++++++++++++++++++++++++++++++------------
 2 files changed, 52 insertions(+), 15 deletions(-)

diff --git a/TODO.md b/TODO.md
index 0ad068b..8fe5782 100644
--- a/TODO.md
+++ b/TODO.md
@@ -13,7 +13,7 @@
 
 - [ ] Add more comments in the code
 - [ ] Update docstrings
-- [ ] Turtle controls summary page in guide
+- [x] Turtle controls summary page in guide
 - [ ] A more detailed README
   - Showcases the power of tickspeed and stroke options
   - Discusses limitations of the game
@@ -27,7 +27,13 @@
 - [ ] Rework quickdraw / BT logic
   - [ ] Add a cooldown system
   - [ ] Hesitate on both ends if hesitation is on?
-  - [ ] If the stack hasn't detected any movement, just don't do anything
+  - [ ] When just pushing onto the stack normally (on an F point), don't push
+  if the position hasn't changed, because the orientation doesn't matter if
+  the stack point isn't a `[` bracket point
+  - [ ] If the `]]]]]` are stacked, hesitation time is massive
+    - [ ] If the stack hasn't detected any movement, just don't do anything
+    - [ ] Hesitate only when the turtle was moved compared to last time?
+    - [ ] Does it work with ignored?
   (because of the ignored stuff)
   - [ ] Remove the backtrack list option
     - Also, backtrack on the way back and forward needs different lists?
@@ -41,7 +47,7 @@
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Can multiple derivations on the same rule still be made? Ruins parity
-  - [ ] Allow both modes to exist
+  - [x] Allow both modes to exist (implemented in Classic)
 
 - [ ] Investigate tropism (capital T) only available for parametric
 
diff --git a/renderer.js b/renderer.js
index e2c8e95..7c11eeb 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1087,25 +1087,56 @@ class LSystem
                     rs[i] = rs[i].trim();
 
                 let rder = rs[1].split(',');
-                if(rder.length == 1)
+                if(rder.length == 1)    // Regular rule
                 {
                     if(rs[0].length == 1)
-                        this.rules.set(rs[0], rs[1]);
+                    {
+                        let existingDer = this.rules.get(rs[0]);
+                        if(!existingDer)
+                            this.rules.set(rs[0], rs[1]);
+                        else if(typeof existingDer === 'string')
+                            this.rules.set(rs[0], [existingDer, rs[1]]);
+                        else
+                            this.rules.set(rs[0], [...existingDer, rs[1]]);
+                    }
                     else if(rs[0].length == 2 && rs[0][0] == '~')
                     {
-                        this.models.set(rs[0][1], rs[1]);
+                        let existingDer = this.models.get(rs[0][1]);
+                        if(!existingDer)
+                            this.models.set(rs[0][1], rs[1]);
+                        else if(typeof existingDer === 'string')
+                            this.models.set(rs[0][1], [existingDer, rs[1]]);
+                        else
+                            this.models.set(rs[0][1], [...existingDer, rs[1]]);
+
                         this.ignoreList.add(rs[0][1]);
                     }
                 }
-                else
+                else    // Stochastic rule
                 {
                     for(let i = 0; i < rder.length; ++i)
                         rder[i] = rder[i].trim();
+
                     if(rs[0].length == 1)
-                        this.rules.set(rs[0], rder);
+                    {
+                        let existingDer = this.rules.get(rs[0]);
+                        if(!existingDer)
+                            this.rules.set(rs[0], rder);
+                        else if(typeof existingDer === 'string')
+                            this.rules.set(rs[0], [existingDer, rder]);
+                        else
+                            this.rules.set(rs[0], [...existingDer, rder]);
+                    }
                     else if(rs[0].length == 2 && rs[0][0] == '~')
                     {
-                        this.models.set(rs[0][1], rder);
+                        let existingDer = this.models.get(rs[0][1]);
+                        if(!existingDer)
+                            this.models.set(rs[0][1], rder);
+                        else if(typeof existingDer === 'string')
+                            this.models.set(rs[0][1], [existingDer, rder]);
+                        else
+                            this.models.set(rs[0][1], [...existingDer, rder]);
+
                         this.ignoreList.add(rs[0][1]);
                     }
                 }
@@ -1694,7 +1725,7 @@ class Renderer
     tick(dt)
     {
         if(this.lv > this.loaded + 1 ||
-        typeof this.levels[this.lv] == 'undefined')
+        typeof this.levels[this.lv] === 'undefined')
             return;
 
         if(this.i >= this.levels[this.lv].length && this.loopMode == 0)
@@ -1718,7 +1749,7 @@ class Renderer
 
         // You can't believe how many times I have to type this typeof clause.
         if(level > this.loaded + 1 ||
-        typeof this.levels[this.lv] == 'undefined')
+        typeof this.levels[this.lv] === 'undefined')
             return;
 
         if(onlyUpdate)
@@ -1984,7 +2015,7 @@ class Renderer
      */
     get progressPercent()
     {
-        if(typeof this.levels[this.lv] == 'undefined')
+        if(typeof this.levels[this.lv] === 'undefined')
             return 0;
 
         let pf = this.progressFrac;
@@ -2009,7 +2040,7 @@ class Renderer
      */
     get loadingString()
     {
-        let len = typeof this.levels[this.loaded + 1] == 'undefined' ? 0 :
+        let len = typeof this.levels[this.loaded + 1] === 'undefined' ? 0 :
         this.levels[this.loaded + 1].length;
         return Localization.format(getLoc('rendererLoading'), this.loaded + 1,
         len);
@@ -2020,7 +2051,7 @@ class Renderer
      */
     get stateString()
     {
-        if(typeof this.levels[this.lv] == 'undefined')
+        if(typeof this.levels[this.lv] === 'undefined')
             return this.loadingString;
 
         return `\\begin{matrix}x=${getCoordString(this.state.x)},&y=${getCoordString(this.state.y)},&z=${getCoordString(this.state.z)},&${this.progressString}\\end{matrix}`;
@@ -2031,7 +2062,7 @@ class Renderer
      */
     get oriString()
     {
-        if(typeof this.levels[this.lv] == 'undefined')
+        if(typeof this.levels[this.lv] === 'undefined')
             return this.loadingString;
 
         return `\\begin{matrix}q=${this.ori.toString()},&${this.progressString}\\end{matrix}`;

From cdaca5434a225962bd8ac88d9f1bf090e5be91b4 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 14 Jan 2023 22:18:30 +0900
Subject: [PATCH 05/94] Reroll function moved to LS menu; Reset button now
 resets renderer

---
 renderer.js | 76 +++++++++++++++++++++++++++++++++++++++++------------
 1 file changed, 59 insertions(+), 17 deletions(-)

diff --git a/renderer.js b/renderer.js
index 7c11eeb..13de311 100644
--- a/renderer.js
+++ b/renderer.js
@@ -115,6 +115,7 @@ const locStrings =
         btnClear: 'Clear',
         btnDefault: '* Reset to Defaults',
         btnAdd: 'Add',
+        btnReroll: 'Reroll',
         btnConstruct: 'Construct',
         btnDelete: 'Delete',
         btnView: 'View',
@@ -142,6 +143,7 @@ const locStrings =
         measurement: '{0}: max {1}ms, avg {2}ms over {3} ticks',
 
         rerollSeed: 'You are about to reroll the system\'s seed.',
+        resetRenderer: 'You are about to reset the renderer.',
 
         menuSequence: 'Sequence Menu',
         labelLevelSeq: 'Level {0}: ',
@@ -152,7 +154,7 @@ const locStrings =
         labelAngle: 'Turning angle (°): ',
         labelRules: 'Production rules: {0}',
         labelIgnored: 'Ignored symbols: ',
-        labelSeed: 'Seed (for stochastic systems): ',
+        labelSeed: 'Seed: ',
 
         menuRenderer: 'Renderer Menu',
         labelInitScale: '* Initial scale: ',
@@ -3404,6 +3406,32 @@ let createSystemMenu = () =>
         }
     });
     let tmpSeed = values.seed;
+    let seedLabel = ui.createGrid
+    ({
+        row: 1,
+        column: 0,
+        columnDefinitions: ['40*', '30*'],
+        children:
+        [
+            ui.createLatexLabel
+            ({
+                text: getLoc('labelSeed'),
+                column: 0,
+                verticalOptions: LayoutOptions.CENTER
+            }),
+            ui.createButton
+            ({
+                text: getLoc('btnReroll'),
+                column: 1,
+                heightRequest: 40,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    seedEntry.text = globalSeed.nextInt.toString();
+                }
+            })
+        ]
+    });
     let seedEntry = ui.createEntry
     ({
         text: tmpSeed.toString(),
@@ -3477,13 +3505,7 @@ let createSystemMenu = () =>
                                         verticalOptions: LayoutOptions.CENTER
                                     }),
                                     ignoreEntry,
-                                    ui.createLatexLabel
-                                    ({
-                                        text: getLoc('labelSeed'),
-                                        row: 1,
-                                        column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
-                                    }),
+                                    seedLabel,
                                     seedEntry
                                 ]
                             })
@@ -4006,6 +4028,32 @@ let createViewMenu = (title) =>
         }
     });
     let tmpSeed = values.seed;
+    let seedLabel = ui.createGrid
+    ({
+        row: 1,
+        column: 0,
+        columnDefinitions: ['40*', '30*'],
+        children:
+        [
+            ui.createLatexLabel
+            ({
+                text: getLoc('labelSeed'),
+                column: 0,
+                verticalOptions: LayoutOptions.CENTER
+            }),
+            ui.createButton
+            ({
+                text: getLoc('btnReroll'),
+                column: 1,
+                heightRequest: 40,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    seedEntry.text = globalSeed.nextInt.toString();
+                }
+            })
+        ]
+    });
     let seedEntry = ui.createEntry
     ({
         text: tmpSeed.toString(),
@@ -4087,13 +4135,7 @@ let createViewMenu = (title) =>
                                         verticalOptions: LayoutOptions.CENTER
                                     }),
                                     ignoreEntry,
-                                    ui.createLatexLabel
-                                    ({
-                                        text: getLoc('labelSeed'),
-                                        row: 1,
-                                        column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
-                                    }),
+                                    seedLabel,
                                     seedEntry
                                 ]
                             }),
@@ -5039,9 +5081,9 @@ var setInternalState = (stateStr) =>
 
 var canResetStage = () => true;
 
-var getResetStageMessage = () => getLoc('rerollSeed');
+var getResetStageMessage = () => getLoc('resetRenderer');
 
-var resetStage = () => renderer.seed = globalSeed.nextInt;
+var resetStage = () => renderer.reset();
 
 var getTertiaryEquation = () =>
 {

From 085cf3e4e67c8d8e26521ded5812ebe188d9dbbe Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 15 Jan 2023 13:19:29 +0900
Subject: [PATCH 06/94] Implemented Xorshift to replace LCG

---
 TODO.md     |  4 ++-
 renderer.js | 93 +++++++++++++++++++++++++++++++++++++++++++++++------
 2 files changed, 86 insertions(+), 11 deletions(-)

diff --git a/TODO.md b/TODO.md
index 8fe5782..3afb934 100644
--- a/TODO.md
+++ b/TODO.md
@@ -26,6 +26,7 @@
 - [ ] How about locking rotation? (for Navier Stokes)
 - [ ] Rework quickdraw / BT logic
   - [ ] Add a cooldown system
+  - [ ] Proposal: remove idxStack and instead turn stack into a 2D array
   - [ ] Hesitate on both ends if hesitation is on?
   - [ ] When just pushing onto the stack normally (on an F point), don't push
   if the position hasn't changed, because the orientation doesn't matter if
@@ -35,6 +36,7 @@
     - [ ] Hesitate only when the turtle was moved compared to last time?
     - [ ] Does it work with ignored?
   (because of the ignored stuff)
+  - [ ] The pop in `]` might be a problem if the branch stack has nothing yet?
   - [ ] Remove the backtrack list option
     - Also, backtrack on the way back and forward needs different lists?
 
@@ -42,7 +44,7 @@
   - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
   - [ ] Button to change mode between degrees and radians
 
-- [ ] Implement Mersenne Twister instead of th fucjuing Lcg
+- [x] Implement new RNG (Xorshift) instead of th fucjuing Lcg
 
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
diff --git a/renderer.js b/renderer.js
index 13de311..171ec5c 100644
--- a/renderer.js
+++ b/renderer.js
@@ -154,7 +154,7 @@ const locStrings =
         labelAngle: 'Turning angle (°): ',
         labelRules: 'Production rules: {0}',
         labelIgnored: 'Ignored symbols: ',
-        labelSeed: 'Seed: ',
+        labelSeed: 'Seed (32-bit): ',
 
         menuRenderer: 'Renderer Menu',
         labelInitScale: '* Initial scale: ',
@@ -933,6 +933,77 @@ class LCG
     }
 }
 
+class Xorshift
+{
+    constructor(seed = 0)
+    {
+        this.state = seed;
+    }
+    /* The state must be initialized to non-zero */
+    // uint32_t xorshift32(struct xorshift32_state *state)
+    // {
+    //     /* Algorithm "xor" from p. 4 of Marsaglia, "Xorshift RNGs" */
+    //     uint32_t x = state->a;
+    //     x ^= x << 13;
+    //     x ^= x >> 17;
+    //     x ^= x << 5;
+    //     return state->a = x;
+    // }
+    /**
+     * Returns a random integer within [0, 2^32) probably.
+     * @returns {number} the next integer in the generator.
+     */
+    get nextInt()
+    {
+        let x = this.state;
+        x ^= x << 13;
+        x ^= x >> 17;
+        x ^= x << 5;
+        this.state = x;
+        return this.state;
+    }
+    /**
+     * Returns a random floating point number within [0, 1] or [0, 1).
+     * @param {boolean} [includeEnd] (default: false) whether to include the
+     * number 1 in the range.
+     * @returns {number} the floating point, corresponding to the next integer.
+     */
+    nextFloat(includeEnd = false)
+    {
+        if(includeEnd)
+        {
+            // [0, 1]
+            return this.nextInt / (this.m - 1);
+        }
+        else
+        {
+            // [0, 1)
+            return this.nextInt / this.m;
+        }
+    }
+    /**
+     * Returns a random integer within a range of [start, end).
+     * @param {number} start the range's lower bound.
+     * @param {number} end the range's upper bound, plus 1.
+     * @returns {number} the integer.
+     */
+    nextRange(start, end)
+    {
+        // [start, end)
+        let size = end - start;
+        return start + Math.floor(this.nextFloat() * size);
+    }
+    /**
+     * Returns a random element from an array.
+     * @param {any[]} array the array.
+     * @returns the element.
+     */
+    choice(array)
+    {
+        return array[this.nextRange(0, array.length)];
+    }
+}
+
 /**
  * Represents one hell of a quaternion.
  */
@@ -1150,10 +1221,10 @@ class LSystem
          */
         this.seed = seed;
         /**
-         * @type {LCG} the LCG used for random number generation.
+         * @type {Xorshift} the random number generator for this system.
          * @public not sure, ask Itsuki.
          */
-        this.random = new LCG(this.seed);
+        this.RNG = new Xorshift(this.seed);
         /**
          * @type {string} the starting sequence.
          * @public
@@ -1211,7 +1282,7 @@ class LSystem
                 if(typeof deriv === 'string')
                     result += deriv;
                 else
-                    result += deriv[this.random.nextRange(0, deriv.length)];
+                    result += deriv[this.RNG.nextRange(0, deriv.length)];
                 
                 count += deriv.length;
             }
@@ -1291,7 +1362,7 @@ class LSystem
             if(typeof deriv === 'string')
                 result += deriv;
             else
-                result += deriv[this.random.nextRange(0, deriv.length)];
+                result += deriv[this.RNG.nextRange(0, deriv.length)];
         }
         return {
             next: 0,
@@ -1306,7 +1377,7 @@ class LSystem
     {
         this.seed = seed;
         this.userInput.seed = seed;
-        this.random = new LCG(this.seed);
+        this.RNG = new Xorshift(this.seed);
     }
     getPurged(rules)
     {
@@ -1743,8 +1814,10 @@ class Renderer
     draw(level, onlyUpdate = false)
     {
         /*
+        Behold the broken monster patched by sheer duct tape.
         I can guarantee that because the game runs on one thread, the renderer
-        would always load faster than it draws.
+        would always load faster than it draws. Unless you make a rule that 
+        spawns 10000 plus signs. Please don't do it.
         */
         if(level > this.loaded)
             this.update(level);
@@ -2375,7 +2448,7 @@ const ZAxisQuat = new Quaternion(0, 0, 0, 1);
 
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
 let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');
-let globalSeed = new LCG(Date.now());
+let globalRNG = new Xorshift(Date.now());
 let contentsTable = [1, 2, 3, 4, 5, 6, 7, 10, 12, 15, 19, 21, 23, 24, 27];
 let manualSystems =
 {
@@ -3427,7 +3500,7 @@ let createSystemMenu = () =>
                 onClicked: () =>
                 {
                     Sound.playClick();
-                    seedEntry.text = globalSeed.nextInt.toString();
+                    seedEntry.text = globalRNG.nextInt.toString();
                 }
             })
         ]
@@ -4049,7 +4122,7 @@ let createViewMenu = (title) =>
                 onClicked: () =>
                 {
                     Sound.playClick();
-                    seedEntry.text = globalSeed.nextInt.toString();
+                    seedEntry.text = globalRNG.nextInt.toString();
                 }
             })
         ]

From 0ed8c59e1aab7b279ecd46d9a4b52200715c6a37 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 15 Jan 2023 14:27:48 +0900
Subject: [PATCH 07/94] Buttons in guides are now more responsive

---
 TODO.md     |   3 +-
 renderer.js | 153 +++++++++++++++++++++++++++-------------------------
 2 files changed, 80 insertions(+), 76 deletions(-)

diff --git a/TODO.md b/TODO.md
index 3afb934..f73f9bd 100644
--- a/TODO.md
+++ b/TODO.md
@@ -19,8 +19,7 @@
   - Discusses limitations of the game
   - Like a blog post, sort of
 - [ ] Localisation
-- [ ] Folders for saved systems?
-  - Directory separator?
+- [ ] Folders for saved systems
 - [ ] Compress internal state? LZW, LZP
 - [ ] Ask Gilles about changing the spline used in 3D graph
 - [ ] How about locking rotation? (for Navier Stokes)
diff --git a/renderer.js b/renderer.js
index 171ec5c..4a2420d 100644
--- a/renderer.js
+++ b/renderer.js
@@ -154,7 +154,7 @@ const locStrings =
         labelAngle: 'Turning angle (°): ',
         labelRules: 'Production rules: {0}',
         labelIgnored: 'Ignored symbols: ',
-        labelSeed: 'Seed (32-bit): ',
+        labelSeed: 'Seed (non-zero): ',
 
         menuRenderer: 'Renderer Menu',
         labelInitScale: '* Initial scale: ',
@@ -460,7 +460,9 @@ When the system is grown, one of the possible derivations will be randomly ` +
 
 A system's seed can either be changed manually within the L-systems menu, or ` +
 `randomly reassigned using the 'Reroll' button on the top right corner of ` +
-`the theory screen.`
+`the theory screen.
+
+Note: setting the seed to 0 will disable the random generation.`
             },
             {
                 title: 'Example: Stochastic tree',
@@ -935,20 +937,13 @@ class LCG
 
 class Xorshift
 {
-    constructor(seed = 0)
+    /**
+     * The state must be initialized to non-zero.
+     */
+    constructor(seed = 1752)
     {
         this.state = seed;
     }
-    /* The state must be initialized to non-zero */
-    // uint32_t xorshift32(struct xorshift32_state *state)
-    // {
-    //     /* Algorithm "xor" from p. 4 of Marsaglia, "Xorshift RNGs" */
-    //     uint32_t x = state->a;
-    //     x ^= x << 13;
-    //     x ^= x >> 17;
-    //     x ^= x << 5;
-    //     return state->a = x;
-    // }
     /**
      * Returns a random integer within [0, 2^32) probably.
      * @returns {number} the next integer in the generator.
@@ -1112,9 +1107,10 @@ class LSystem
      * @param {string} axiom the starting sequence.
      * @param {string[]} rules the production rules.
      * @param {number} turnAngle (default: 30) the turning angle (in degrees).
-     * @param {number} seed (default: 0) the seed (for stochastic systems).
+     * @param {number} seed (default: 1752) the seed used for stochastic 
+     * systems.
      */
-    constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
+    constructor(axiom = '', rules = [], turnAngle = 0, seed = 1752,
     ignoreList = '', models = {})
     {
         this.userInput =
@@ -4499,6 +4495,65 @@ let createManualMenu = () =>
             sourceEntry
         ]
     });
+    let prevButton = ui.createButton
+    ({
+        text: getLoc('btnPrev'),
+        row: 0,
+        column: 0,
+        isVisible: page > 0,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            if(page > 0)
+                setPage(page - 1);
+        }
+    });
+    let constructButton = ui.createButton
+    ({
+        text: getLoc('btnConstruct'),
+        row: 0,
+        column: 1,
+        isVisible: page in manualSystems,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let s = manualSystems[page];
+            renderer.constructSystem = s.system;
+            tmpSystem = null;
+            if('config' in s)
+                renderer.configureStaticCamera(...s.config);
+
+            tmpSystemName = manualPages[page].title;
+            tmpSystemDesc = Localization.format(
+            getLoc('manualSystemDesc'), page + 1);
+            menu.hide();
+        }
+    });
+    let tocButton = ui.createButton
+    ({
+        text: getLoc('btnContents'),
+        row: 0,
+        column: 1,
+        isVisible: !(page in manualSystems),
+        onClicked: () =>
+        {
+            Sound.playClick();
+            TOCMenu.show();
+        }
+    });
+    let nextButton = ui.createButton
+    ({
+        text: getLoc('btnNext'),
+        row: 0,
+        column: 2,
+        isVisible: page < manualPages.length - 1,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            if(page < manualPages.length - 1)
+                setPage(page + 1);
+        }
+    });
     let setPage = (p) =>
     {
         page = p;
@@ -4515,6 +4570,11 @@ let createManualMenu = () =>
         sourceEntry.text = 'source' in
         manualPages[page] ?
         manualPages[page].source : '';
+
+        prevButton.isVisible = page > 0;
+        nextButton.isVisible = page < manualPages.length - 1;
+        constructButton.isVisible = page in manualSystems;
+        tocButton.isVisible = !(page in manualSystems);
     };
     let getContentsTable = () =>
     {
@@ -4595,65 +4655,10 @@ let createManualMenu = () =>
                     columnDefinitions: ['30*', '30*', '30*'],
                     children:
                     [
-                        ui.createButton
-                        ({
-                            text: getLoc('btnPrev'),
-                            row: 0,
-                            column: 0,
-                            isVisible: () => page > 0,
-                            onClicked: () =>
-                            {
-                                Sound.playClick();
-                                if(page > 0)
-                                    setPage(page - 1);
-                            }
-                        }),
-                        ui.createButton
-                        ({
-                            text: getLoc('btnConstruct'),
-                            row: 0,
-                            column: 1,
-                            isVisible: () => page in manualSystems,
-                            onClicked: () =>
-                            {
-                                Sound.playClick();
-                                let s = manualSystems[page];
-                                renderer.constructSystem = s.system;
-                                tmpSystem = null;
-                                if('config' in s)
-                                    renderer.configureStaticCamera(...s.config);
-
-                                tmpSystemName = manualPages[page].title;
-                                tmpSystemDesc = Localization.format(
-                                getLoc('manualSystemDesc'), page + 1);
-                                menu.hide();
-                            }
-                        }),
-                        ui.createButton
-                        ({
-                            text: getLoc('btnContents'),
-                            row: 0,
-                            column: 1,
-                            isVisible: () => !(page in manualSystems),
-                            onClicked: () =>
-                            {
-                                Sound.playClick();
-                                TOCMenu.show();
-                            }
-                        }),
-                        ui.createButton
-                        ({
-                            text: getLoc('btnNext'),
-                            row: 0,
-                            column: 2,
-                            isVisible: () => page < manualPages.length - 1,
-                            onClicked: () =>
-                            {
-                                Sound.playClick();
-                                if(page < manualPages.length - 1)
-                                    setPage(page + 1);
-                            }
-                        })
+                        prevButton,
+                        constructButton,
+                        tocButton,
+                        nextButton
                     ]
                 })
             ]

From 73366e4d14b5ea81cd65c90660cf14826b8672f7 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 16 Jan 2023 00:23:54 +0900
Subject: [PATCH 08/94] Added a good argument for reworking models

---
 TODO.md     | 2 ++
 renderer.js | 6 ++++--
 2 files changed, 6 insertions(+), 2 deletions(-)

diff --git a/TODO.md b/TODO.md
index f73f9bd..b90112e 100644
--- a/TODO.md
+++ b/TODO.md
@@ -71,6 +71,8 @@
     - This makes more sense thematically, as cut wounds will leave scars
       - Lemma's Garden: this will slightly slow down growth
   - If models were to be processed by renderer, then they cannot evolve
+    - On the other hand, they can 'evolve' in another sense where each parameter
+    value can have a different model
   - [x] Having a model also means that symbol should be ignored (no extra F)
     - Easy, just add the model map's keys to the set
     - [x] Update the manual
diff --git a/renderer.js b/renderer.js
index 4a2420d..c34f70b 100644
--- a/renderer.js
+++ b/renderer.js
@@ -81,6 +81,7 @@ let tickDelayMode = false;
 let resetLvlOnConstruct = true;
 let measurePerformance = false;
 let maxCharsPerTick = 5000;
+let menuLang = Localization.language;
 
 let savedSystems = new Map();
 
@@ -816,13 +817,11 @@ Upright`
     }
 };
 
-let menuLang = Localization.language;
 /**
  * Returns a localised string.
  * @param {string} name the internal name of the string.
  * @returns {string} the string.
  */
-
 let getLoc = (name, lang = menuLang) =>
 {
     if(lang in locStrings && name in locStrings[lang])
@@ -4983,6 +4982,9 @@ var getInternalState = () => JSON.stringify
 
 var setInternalState = (stateStr) =>
 {
+    if(!stateStr)
+        return;
+
     let values = stateStr.split('\n');
 
     let worldValues = values[0].split(' ');

From 45c95e6b7b39492c1c50360d5fe3402100413db8 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 21 Jan 2023 01:38:40 +0900
Subject: [PATCH 09/94] Fix a crash involving double-tapping Resume

---
 TODO.md     |  3 ++-
 renderer.js | 57 ++++++++++++++++++++++++++++++++++++++++++++++-------
 2 files changed, 52 insertions(+), 8 deletions(-)

diff --git a/TODO.md b/TODO.md
index b90112e..7d68763 100644
--- a/TODO.md
+++ b/TODO.md
@@ -50,7 +50,8 @@
   - Can multiple derivations on the same rule still be made? Ruins parity
   - [x] Allow both modes to exist (implemented in Classic)
 
-- [ ] Investigate tropism (capital T) only available for parametric
+- [ ] Investigate tropism (capital T)
+- [ ] Investigate sunlight heading command (`$`)
 
 - [ ] Change how models work:
   - Stochastic models are no longer available
diff --git a/renderer.js b/renderer.js
index c34f70b..d8bb873 100644
--- a/renderer.js
+++ b/renderer.js
@@ -80,6 +80,7 @@ let altTerEq = false;
 let tickDelayMode = false;
 let resetLvlOnConstruct = true;
 let measurePerformance = false;
+let debugCamPath = false;
 let maxCharsPerTick = 5000;
 let menuLang = Localization.language;
 
@@ -197,6 +198,7 @@ const locStrings =
         labelTerEq: 'Tertiary equation: {0}',
         terEqModes: ['Coordinates', 'Orientation'],
         labelMeasure: 'Measure performance: ',
+        debugCamPath: 'Debug camera path: ',
         labelMaxCharsPerTick: 'Maximum loaded chars/tick: ',
         labelInternalState: 'Internal state: ',
 
@@ -2813,8 +2815,11 @@ var getUpgradeListDelegate = () =>
     let resumeButton = createButton(Localization.format(getLoc('btnResume'),
     tmpSystemName), () =>
     {
-        renderer.constructSystem = tmpSystem;
-        tmpSystem = null;
+        if(tmpSystem)
+        {
+            renderer.constructSystem = tmpSystem;
+            tmpSystem = null;
+        }
     }, ui.screenHeight * 0.05);
     resumeButton.content.horizontalOptions = LayoutOptions.CENTER;
     resumeButton.isVisible = () => tmpSystem ? true : false;
@@ -4825,12 +4830,30 @@ let createWorldMenu = () =>
             }
         }
     });
+    let tmpDCP = debugCamPath;
+    let DCPSwitch = ui.createSwitch
+    ({
+        isToggled: tmpDCP,
+        row: 4,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpDCP = !tmpDCP;
+                DCPSwitch.isToggled = tmpDCP;
+            }
+        }
+    });
     let tmpMCPT = maxCharsPerTick;
     let MCPTEntry = ui.createEntry
     ({
         text: tmpMCPT.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 4,
+        row: 5,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4880,23 +4903,31 @@ let createWorldMenu = () =>
                         MPSwitch,
                         ui.createLatexLabel
                         ({
-                            text: getLoc('labelMaxCharsPerTick'),
+                            text: getLoc('debugCamPath'),
                             row: 4,
                             column: 0,
                             verticalOptions: LayoutOptions.CENTER
                         }),
+                        DCPSwitch,
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelMaxCharsPerTick'),
+                            row: 5,
+                            column: 0,
+                            verticalOptions: LayoutOptions.CENTER
+                        }),
                         MCPTEntry,
                         ui.createLatexLabel
                         ({
                             text: getLoc('labelInternalState'),
-                            row: 5,
+                            row: 6,
                             column: 0,
                             verticalOptions: LayoutOptions.CENTER
                         }),
                         ui.createButton
                         ({
                             text: getLoc('btnClipboard'),
-                            row: 5,
+                            row: 6,
                             column: 1,
                             heightRequest: 40,
                             onClicked: () =>
@@ -4928,6 +4959,9 @@ let createWorldMenu = () =>
                             camMeasurer.reset();
                         }
                         measurePerformance = tmpMP;
+                        if(tmpDCP != debugCamPath)
+                            renderer.reset();
+                        debugCamPath = tmpDCP;
                         maxCharsPerTick = tmpMCPT;
                         menu.hide();
                     }
@@ -4948,6 +4982,7 @@ var getInternalState = () => JSON.stringify
     tickDelayMode: tickDelayMode,
     resetLvlOnConstruct: resetLvlOnConstruct,
     measurePerformance: measurePerformance,
+    debugCamPath: debugCamPath,
     maxCharsPerTick: maxCharsPerTick,
     renderer:
     {
@@ -5010,6 +5045,8 @@ var setInternalState = (stateStr) =>
             resetLvlOnConstruct = state.resetLvlOnConstruct;
         if('measurePerformance' in state)
             measurePerformance = state.measurePerformance;
+        if('debugCamPath' in state)
+            debugCamPath = state.debugCamPath;
         if('maxCharsPerTick' in state)
             maxCharsPerTick = state.maxCharsPerTick;
         
@@ -5173,7 +5210,13 @@ var getTertiaryEquation = () =>
     return renderer.stateString;
 }
 
-var get3DGraphPoint = () => renderer.cursor;
+var get3DGraphPoint = () =>
+{
+    if(debugCamPath)
+        return -renderer.camera;
+    
+    return renderer.cursor;
+}
 
 var get3DGraphTranslation = () =>
 {

From 3ef9ae9d806b62cb1126618b8211f25b671ddee5 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 23 Jan 2023 03:00:34 +0900
Subject: [PATCH 10/94] Changed default seed to 0 again; Re-added WIP
 parametric implementation

---
 TODO.md               |   7 +-
 parametric_lsystem.js | 225 ++++++++++++++++++++++++++++++++++++++++++
 renderer.js           |   4 +-
 3 files changed, 231 insertions(+), 5 deletions(-)
 create mode 100644 parametric_lsystem.js

diff --git a/TODO.md b/TODO.md
index 7d68763..9db1ee5 100644
--- a/TODO.md
+++ b/TODO.md
@@ -84,6 +84,7 @@
     - Button in LS menu / save menu to switch modes?
     - Theory settings?
     - Lemma stages?
+  - Make `f` move without returning like `F`
   - Top-down processing priority
     - Buttons in LS menu to move up down (swap rules)
       - How to update rule entries?
@@ -220,11 +221,11 @@ needs to store two boolean properties `isContextSensitive` and `isParametric`.
   `Parametric L-systems Renderer`, with a better randomiser lol
   - Scrapped. Just make a new class.
 - Strict model format for each symbol
-  - Array of Vector3s denoting a path of vertices
-    - Don't write `(0, 0, 0)` at start or end
+  - Array of Vector3s den 0)` at start or end
     - Flow: the previous path ended at `(0, 0, 0)` of this path. We'll follow
     through the model's queue one by one until we reach the end. But we won't
-    go back to `(0, 0, 0)`, we go forward to the next symbol. This would allow
+    go back to `(0, 0, 0)`, weoting a path of vertices
+    - Don't write `(0, 0, go forward to the next symbol. This would allow
     us to draw different lengthed lines if we defined the model to include only
     one point: `(L, 0, 0)`. But... that would delay processing by one turn?
   - Well, we can't include the tilde then. Hardcoded models can still be a thing
diff --git a/parametric_lsystem.js b/parametric_lsystem.js
new file mode 100644
index 0000000..0ea2b01
--- /dev/null
+++ b/parametric_lsystem.js
@@ -0,0 +1,225 @@
+import { MathExpression } from "../api/MathExpression";
+
+const TRIM_SP = /\s+/g;
+const LS_RULE = /(.+):(.+)=(([^:]+)(:([^,]+))?)(,([^:]+)(:([^,]+))?)*/;
+const LS_SYMBOL = /(.)(\(([^\)]+)\))?/g;
+const LS_CONTEXT =
+/((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
+
+class ParametricLSystem
+{
+    constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
+    ignoreList = '', models = {})
+    {
+        // User input
+        this.userInput =
+        {
+            axiom: axiom,
+            rules: this.getPurged(rules),
+            turnAngle: turnAngle,
+            seed: seed,
+            ignoreList: ignoreList,
+            models: models
+        };
+        // Use regex magic to separate
+        let axiomMatches = [...axiom.replace(TRIM_SP, '').matchAll(LS_SYMBOL)];
+        this.axiom = '';
+        this.axiomParams = [];
+        // let axiomReassembly = '';
+        for(let i = 0; i < axiomMatches.length; ++i)
+        {
+            // axiomReassembly += axiomMatches[i][0];
+            this.axiom += axiomMatches[i][1];
+            this.axiomParams.push(axiomMatches[i][3]);
+            // Indices 1 and 3 are symbol and parameters
+        }
+        // console.log(this.axiom);
+        // console.log(axiomReassembly);
+        for(let i = 0; i < this.axiomParams.length; ++i)
+        {
+            if(typeof this.axiomParams[i] == 'undefined')
+                continue;
+
+            let params = this.axiomParams[i].split(',');
+            // console.log(params)
+            for(let j = 0; j < params.length; ++j)
+                params[j] = MathExpression.parse(params[j]).evaluate();
+            this.axiomParams[i] = params;
+            // Maybe leave them at BigNumber?
+        }
+        // console.log(this.axiomParams.toString());
+        // This is a context ignore list. Turtle ignores all except for Ff.
+        this.ignoreList = new Set('FfT+-&^\\/|{.}%');
+        
+        let rulesMatches = [];
+        for(let i = 0; i < rules.length; ++i)
+        {
+            rulesMatches.push([...rules[i].replace(TRIM_SP, '').match(
+            LS_RULE)]);
+            // console.log(rulesMatches[i].toString());
+            // Indices 1, 2, 4+4k, 6+4k are context, condition, derivation and
+            // probability respectively
+        }
+        this.rules = new Map();
+        for(let i = 0; i < rulesMatches.length; ++i)
+        {
+            // [i][1]: context
+            let contextMatch = [...rulesMatches[i][1].match(LS_CONTEXT)];
+            // Indices 2, 4, 6, 8, 10, 12 are the symbols and parameters of
+            // left, middle, and right respectively
+            if(typeof contextMatch[6] === 'undefined')
+                continue;
+            
+            let tmpRule = {};
+            let ruleParams = {};
+            {
+                let params = contextMatch[8].split(',');
+                for(let j = 0; j < params.length; ++j)
+                    ruleParams[params[j]] = ['m', j];
+            }
+            tmpRule.left = contextMatch[2];
+            if(tmpRule.left)
+            {
+                let params = contextMatch[4].split(',');
+                for(let j = 0; j < params.length; ++j)
+                    ruleParams[params[j]] = ['l', j];
+            }
+            tmpRule.right = contextMatch[10];
+            {
+                let params = contextMatch[12].split(',');
+                for(let j = 0; j < params.length; ++j)
+                {
+                    ruleParams[params[j]] = ['r', j];
+                }
+            }
+            tmpRule.params = ruleParams;
+            /*
+            ruleParams = {
+                'a': ['m', 0],
+                'b': ['l', 0],
+                'c': ['r', 0],
+                'd': ['r', 1]
+            };
+            */
+            tmpRule.paramMap = (v, l, m, r) =>
+            {
+                let pos = tmpRule.params[v][0];
+                switch(pos)
+                {
+                    case 'm':
+                        return m[tmpRule.params[v][1]];
+                    case 'l':
+                        return l[tmpRule.params[v][1]];
+                    case 'r':
+                        return r[tmpRule.params[v][1]];
+                }
+                // MathExpression eval: (v) => rule.paramMap(v, params[l], ...)
+            }
+
+            // [i][2]: condition
+            tmpRule.condition = MathExpression.parse(rulesMatches[i][2]);
+
+            // let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t==0 = [+(30)G]F/(180)A(2):0.5, [-(30)G]F\(180)A(2):0.5']);
+            // [i][4+4k]: derivation(s)
+            // [i][6+4k]: probability
+
+        }
+
+        /* Probably will not allow multi-line stochastics this time.*/
+        let rules =
+        {
+            'A':
+            [
+                {   // B(b) < A(a) > C(c, d)
+                    left: 'B',
+                    right: 'C',
+                    paramMap: (v, l, m, r) =>
+                    {
+                        let result =
+                        {
+                            'a': m[0],
+                            'b': l[0],
+                            'c': r[0],
+                            'd': r[1]
+                        };
+                        return result[v];
+                    },
+                    condition: 'c + d > 0',
+                    derivations:
+                    [
+                        'AF+-',
+                        'ABC-+'
+                    ],
+                    derivParams:    // these are MathExpressions too
+                    [
+                        ['a', '1', '137.5', undefined],
+                        ['a + 1', 'b + 1', ['c + 1', 'd'], undefined, '137.5']
+                    ],
+                    prob:   // so are these
+                    [   // Weighted system, sum has to be within 1
+                        '0.5 + a',
+                        'one'
+                    ]
+                },
+                {
+                    // ...
+                    cond: true,
+                    // ...
+                }
+            ]
+        };
+    }
+
+    getAncestree(sequence)
+    {
+        // Scanning behaviour should be very similar to renderer drawing.
+        let stack = [];
+        let idxStack = [];
+        let ancestors = [];
+        let children = [];
+        for(let i = 0; i < sequence.length; ++i)
+        {
+            switch(sequence[i])
+            {
+                case ' ':
+                    log('Blank space detected.')
+                    break;
+                case '[':
+                    idxStack.push(stack.length);
+                    break;
+                case ']':
+                    if(stack.length == 0)
+                    {
+                        log('You\'ve clearly made a bracket error.');
+                        break;
+                    }
+                    while(stack.length > idxStack[idxStack.length - 1])     
+                        stack.pop();
+
+                    idxStack.pop();
+                    break;
+                default:
+                    let ignored = this.ignoreList.has(sequence[i]);
+                    if(ignored)
+                        break;
+                    
+                    if(stack.length > 0)
+                    {
+                        let ancIdx = stack[stack.length - 1];
+                        ancestors[i] = ancIdx;
+                        if(typeof children[ancIdx] === 'undefined')
+                            children[ancIdx] = [];
+                        children[ancIdx].push(i);
+                    }
+
+                    stack.push(i);
+                    break;
+            }
+        }
+        return {
+            ancestors: ancestors,
+            children: children
+        };
+        // Tested this out on Chrome console, it worked.
+    }
+}
\ No newline at end of file
diff --git a/renderer.js b/renderer.js
index d8bb873..7857e70 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1108,10 +1108,10 @@ class LSystem
      * @param {string} axiom the starting sequence.
      * @param {string[]} rules the production rules.
      * @param {number} turnAngle (default: 30) the turning angle (in degrees).
-     * @param {number} seed (default: 1752) the seed used for stochastic 
+     * @param {number} seed (default: 0) the seed used for stochastic 
      * systems.
      */
-    constructor(axiom = '', rules = [], turnAngle = 0, seed = 1752,
+    constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
     ignoreList = '', models = {})
     {
         this.userInput =

From f737025739695d4d809a65de69cf5b84c5f8edfc Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 25 Jan 2023 23:34:32 +0900
Subject: [PATCH 11/94] Added clear buttons to various entries

---
 TODO.md               |  6 +++++-
 parametric_lsystem.js | 10 +++++++---
 renderer.js           |  9 +++++++++
 3 files changed, 21 insertions(+), 4 deletions(-)

diff --git a/TODO.md b/TODO.md
index 9db1ee5..c03bc70 100644
--- a/TODO.md
+++ b/TODO.md
@@ -38,6 +38,10 @@
   - [ ] The pop in `]` might be a problem if the branch stack has nothing yet?
   - [ ] Remove the backtrack list option
     - Also, backtrack on the way back and forward needs different lists?
+- [ ] Revamp sequence menu
+  - Level 0: 10 chars (`View`)
+  - Classic LS: displays the entire string in a label
+  - Parametric LS: displays symbols and parameters side by side, one symbol/row
 
 - [ ] Turning angles
   - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
@@ -51,7 +55,7 @@
   - [x] Allow both modes to exist (implemented in Classic)
 
 - [ ] Investigate tropism (capital T)
-- [ ] Investigate sunlight heading command (`$`)
+- [ ] Investigate sunlight heading (heliotropism) (`$`)
 
 - [ ] Change how models work:
   - Stochastic models are no longer available
diff --git a/parametric_lsystem.js b/parametric_lsystem.js
index 0ea2b01..d35ef4e 100644
--- a/parametric_lsystem.js
+++ b/parametric_lsystem.js
@@ -49,7 +49,7 @@ class ParametricLSystem
         }
         // console.log(this.axiomParams.toString());
         // This is a context ignore list. Turtle ignores all except for Ff.
-        this.ignoreList = new Set('FfT+-&^\\/|{.}%');
+        this.ignoreList = new Set('FfT+-&^\\/|{.}%~$');
         
         let rulesMatches = [];
         for(let i = 0; i < rules.length; ++i)
@@ -93,7 +93,7 @@ class ParametricLSystem
                 }
             }
             tmpRule.params = ruleParams;
-            /*
+            /*  // O(1) lookup with O(n) memory, I think
             ruleParams = {
                 'a': ['m', 0],
                 'b': ['l', 0],
@@ -123,10 +123,14 @@ class ParametricLSystem
             // [i][4+4k]: derivation(s)
             // [i][6+4k]: probability
 
+            // Finally, push rule
+            if(!this.rules.has(contextMatch[6]))
+                this.rules.set(contextMatch[6], []);
+            this.rules.get(contextMatch[6]).push(tmpRule);
         }
 
         /* Probably will not allow multi-line stochastics this time.*/
-        let rules =
+        let exampleRules =
         {
             'A':
             [
diff --git a/renderer.js b/renderer.js
index 7857e70..5907a6b 100644
--- a/renderer.js
+++ b/renderer.js
@@ -33,6 +33,7 @@ import { Thickness } from '../api/ui/properties/Thickness';
 import { TouchType } from '../api/ui/properties/TouchType';
 import { Localization } from '../api/Localization';
 import { MathExpression } from '../api/MathExpression';
+import { ClearButtonVisibility } from '../api/ui/properties/ClearButtonVisibility';
 
 var id = 'L_systems_renderer';
 var getName = (language) =>
@@ -3402,6 +3403,7 @@ let createSystemMenu = () =>
         text: tmpAxiom,
         row: 0,
         column: 1,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
         onTextChanged: (ot, nt) =>
         {
             tmpAxiom = nt;
@@ -3427,6 +3429,7 @@ let createSystemMenu = () =>
         ruleEntries.push(ui.createEntry
         ({
             text: tmpRules[i],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
             onTextChanged: (ot, nt) =>
             {
                 tmpRules[i] = nt;
@@ -3456,6 +3459,7 @@ let createSystemMenu = () =>
             ruleEntries.push(ui.createEntry
             ({
                 text: '',
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
                 onTextChanged: (ot, nt) =>
                 {
                     tmpRules[i] = nt;
@@ -3812,6 +3816,7 @@ let createSystemClipboardMenu = (values) =>
     let sysEntry = ui.createEntry
     ({
         text: tmpSys,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
         onTextChanged: (ot, nt) =>
         {
             tmpSys = nt;
@@ -3871,6 +3876,7 @@ let createStateClipboardMenu = (values) =>
     let sysEntry = ui.createEntry
     ({
         text: tmpState,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
         onTextChanged: (ot, nt) =>
         {
             tmpState = nt;
@@ -4022,6 +4028,7 @@ let createViewMenu = (title) =>
         text: tmpAxiom,
         row: 0,
         column: 1,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
         onTextChanged: (ot, nt) =>
         {
             tmpAxiom = nt;
@@ -4049,6 +4056,7 @@ let createViewMenu = (title) =>
         ruleEntries.push(ui.createEntry
         ({
             text: tmpRules[i],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
             onTextChanged: (ot, nt) =>
             {
                 tmpRules[i] = nt;
@@ -4078,6 +4086,7 @@ let createViewMenu = (title) =>
             ruleEntries.push(ui.createEntry
             ({
                 text: '',
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
                 onTextChanged: (ot, nt) =>
                 {
                     tmpRules[i] = nt;

From 0d1c7b6c55380497213e38eba0345a3be0b8b2fa Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 29 Jan 2023 17:33:20 +0900
Subject: [PATCH 12/94] Added a minimum size to menu buttons

---
 renderer.js | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/renderer.js b/renderer.js
index 5907a6b..50662e6 100644
--- a/renderer.js
+++ b/renderer.js
@@ -87,7 +87,7 @@ let menuLang = Localization.language;
 
 let savedSystems = new Map();
 
-const DEFAULT_BUTTON_HEIGHT = ui.screenHeight * 0.055;
+const DEFAULT_BUTTON_HEIGHT = Math.max(ui.screenHeight * 0.055, 48);
 const ENTRY_CHAR_LIMIT = 5000;
 const locStrings =
 {
@@ -2821,7 +2821,7 @@ var getUpgradeListDelegate = () =>
             renderer.constructSystem = tmpSystem;
             tmpSystem = null;
         }
-    }, ui.screenHeight * 0.05);
+    }, Math.max(ui.screenHeight * 0.05, 44));
     resumeButton.content.horizontalOptions = LayoutOptions.CENTER;
     resumeButton.isVisible = () => tmpSystem ? true : false;
     resumeButton.margin = new Thickness(0, 0, 0, 2);

From 4c2c98a0c997735c468f08bdc4feeae4b35cf287 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 11 Feb 2023 18:52:58 +0700
Subject: [PATCH 13/94] Changed wording of T9 to avoid spoilers

---
 README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/README.md b/README.md
index d391c54..c68b673 100644
--- a/README.md
+++ b/README.md
@@ -28,7 +28,7 @@ Navigate to [`renderer.js`](./renderer.js) and click on `Raw`. You will be
 delivered to this theory's raw code. Copy the page's URL.
 
 Then, access the custom theory panel within the game (unlocked after finishing
-the Convergence Test) then enter the picking menu. Press the `+` symbol and
+T9, the last theory) then enter the picking menu. Press the `+` symbol and
 paste the URL in.
 
 ## Screenshots

From 8d045376b9ca26e8ed155d2af41325efacfac299 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 12 Feb 2023 16:45:09 +0700
Subject: [PATCH 14/94] Implemented cooldown logic for regular drawing

---
 TODO.md     |  4 +--
 renderer.js | 96 +++++++++++++++++++++++++++++++++++++++++------------
 2 files changed, 77 insertions(+), 23 deletions(-)

diff --git a/TODO.md b/TODO.md
index c03bc70..faa8b1d 100644
--- a/TODO.md
+++ b/TODO.md
@@ -61,7 +61,7 @@
   - Stochastic models are no longer available
     - Instead define stochastic rules for the actual symbol instead, pre-model 
   - Models are no longer recursively derived
-    - This will remove their permanence
+    - This will remove their permanence and increase performance
   - Instead, they will be processed by the renderer using a queue
     - The processing code will be positioned below (?) the main renderer loop
     - Almost the exact same code as main loop, but with `~` queue controls
@@ -103,7 +103,7 @@
 - [ ] Context sensitivity
   - `b < a > c → aa`
   - Parametric: **context ignore** replaces regular ignore list in LS menu
-  - Skipping over brackets? hmm, difficult
+  - [x] Skipping over brackets? hmm, difficult
     - Mapping vertex depth, can be checked by tracking brackets and stacks.
     - Actually it's pretty hard to make an algo for this, because it could be:
     `01[23[456][45][4]][234]2`, and you would have to find all the 2s if you
diff --git a/renderer.js b/renderer.js
index 50662e6..af0542d 100644
--- a/renderer.js
+++ b/renderer.js
@@ -71,7 +71,7 @@ Warning: v0.20 might break your internal state. Be sure to back it up, and ` +
 var authors =   'propfeds#5988\n\nThanks to:\nSir Gilles-Philippe Paillé, ' +
                 'for providing help with quaternions\nskyhigh173#3120, for ' +
                 'suggesting clipboard and JSON internal state formatting';
-var version = 0.211;
+var version = 1;
 
 let time = 0;
 let page = 0;
@@ -93,13 +93,14 @@ const locStrings =
 {
     en:
     {
-        versionName: 'v0.21.1',
+        versionName: 'v1.0, Work in Progress',
         welcomeSystemName: 'Arrow',
         welcomeSystemDesc: 'Welcome to L-systems Renderer!',
         equationOverlayLong: '{0} – {1}\n\n{2}\n\n{3}',
         equationOverlay: '{0}\n\n{1}',
 
-        rendererLoading: '\\begin{{matrix}}Loading...&\\text{{Lv. {0}}}&({1}\\text{{ chars}})\\end{{matrix}}',
+        rendererLoading: `\\begin{{matrix}}Loading...&\\text{{Lv. {0}}}&({1}
+\\text{{ chars}})\\end{{matrix}}`,
 
         currencyTime: ' (elapsed)',
 
@@ -184,7 +185,8 @@ const locStrings =
         labelApplyCamera: 'Applies static camera: ',
 
         menuClipboard: 'Clipboard Menu',
-        labelEntryCharLimit: 'Warning: This entry has been capped at {0} characters. Proceed with caution.',
+        labelEntryCharLimit: `Warning: This entry has been capped at {0} ` +
+        `characters. Proceed with caution.`,
 
         menuNaming: 'Save System',
         labelName: 'Title: ',
@@ -1551,6 +1553,8 @@ class Renderer
          * @public don't touch this.
          */
         this.idxStack = [];
+        this.models = [];
+        this.mdi = [];
         /**
          * @type {number} the current index of the sequence.
          * @public don't know.
@@ -1561,6 +1565,7 @@ class Renderer
          * @public
          */
         this.elapsed = 0;
+        this.cooldown = 0;
         /**
          * @type {Vector3} the last tick's camera position.
          * @public didn't tell you so.
@@ -1646,6 +1651,7 @@ class Renderer
         this.stack = [];
         this.idxStack = [];
         this.i = 0;
+        this.cooldown = 0;
         this.polygonMode = 0;
         if(clearGraph)
         {
@@ -1839,6 +1845,20 @@ class Renderer
         let j, t;
         for(j = 0; j < 2; ++j)
         {
+            if(this.cooldown > 0)
+                --this.cooldown;
+
+            if(this.models.length)
+            {
+                for(; this.mdi[this.mdi.length - 1] <
+                this.models[this.models.length - 1].length;
+                ++this.mdi[this.mdi.length - 1])
+                {
+                    // Process it like the regular switch
+                    continue;
+                }
+                continue;
+            }
             for(; this.i < this.levels[this.lv].length; ++this.i)
             {
                 switch(this.levels[this.lv][this.i])
@@ -1848,31 +1868,48 @@ class Renderer
                         break;
                     case '+':
                         this.ori = this.system.rotations.get('+').mul(this.ori);
+                        if(this.quickDraw)
+                            this.cooldown = 1;
                         break;
                     case '-':
                         this.ori = this.system.rotations.get('-').mul(this.ori);
+                        if(this.quickDraw)
+                            this.cooldown = 1;
                         break;
                     case '&':
                         this.ori = this.system.rotations.get('&').mul(this.ori);
+                        if(this.quickDraw)
+                            this.cooldown = 1;
                         break;
                     case '^':
                         this.ori = this.system.rotations.get('^').mul(this.ori);
+                        if(this.quickDraw)
+                            this.cooldown = 1;
                         break;
                     case '\\':
                         this.ori = this.system.rotations.get('\\').mul(
                         this.ori);
+                        if(this.quickDraw)
+                            this.cooldown = 1;
                         break;
                     case '/':
                         this.ori = this.system.rotations.get('/').mul(this.ori);
+                        if(this.quickDraw)
+                            this.cooldown = 1;
                         break;
                     case '|':
                         this.ori = ZAxisQuat.mul(this.ori);
+                        if(this.quickDraw)
+                            this.cooldown = 1;
                         break;
                     case '[':
                         this.idxStack.push(this.stack.length);
                         this.stack.push([this.state, this.ori]);
                         break;
                     case ']':
+                        if(this.cooldown > 0)
+                            return;
+
                         if(this.stack.length == 0)
                         {
                             log('You\'ve clearly made a bracket error.');
@@ -1889,10 +1926,14 @@ class Renderer
                             if(this.hesitate && this.polygonMode <= 0)
                             {
                                 ++this.i;
+                                this.cooldown = 1;
                                 return;
                             }
                             else
+                            {
+                                this.cooldown = 1;
                                 break;
+                            }
                         }
                         if(this.polygonMode <= 0)
                             return;
@@ -1912,37 +1953,43 @@ class Renderer
                         break;
                     case '.':
                         if(this.polygonMode <= 0)
-                            log('You\'re making a polygon outside of one?');
+                            log('You\'re cannot register a vertex outside of ' +
+                            'polygon drawing.');
                         else
                             ++this.i;
-
                         return;
                     default:
+                        if(this.cooldown > 0)
+                            return;
+
                         let ignored = this.system.ignoreList.has(
                         this.levels[this.lv][this.i]);
 
-                        if(ignored)
-                        {
-                            if(this.quickDraw && this.stack.length > 0 &&
-                            this.ori === this.stack[this.stack.length - 1][1])
-                                this.stack.push([this.state, this.ori]);
-                            break;
-                        }
-
-                        if(!this.quickBacktrack)
+                        if(this.hesitate &&
+                        this.levels[this.lv][this.i + 1] == ']')
+                            this.cooldown = 1;
+                        // if(ignored)
+                        // {
+                        //     if(this.quickDraw && this.stack.length > 0 &&
+                        //     this.ori === this.stack[this.stack.length - 1][1])
+                        //         this.stack.push([this.state, this.ori]);
+                        //     break;
+                        // }
+
+                        if(!this.quickBacktrack && this.stack.length == 0 ||
+                        (this.stack.length > 0 &&
+                        this.state !== this.stack[this.stack.length - 1][0]))
                             this.stack.push([this.state, this.ori]);
 
-                        this.forward();
+                        if(!this.ignored)
+                            this.forward();
 
                         let breakAhead = this.backtrackList.has(
                         this.levels[this.lv][this.i + 1]);
                         if(this.quickBacktrack && breakAhead)
                             this.stack.push([this.state, this.ori]);
-
-                        if(this.quickDraw && !breakAhead &&
-                        (this.quickBacktrack || this.stack.length > 0 &&
-                        this.ori === this.stack[this.stack.length - 1][1]) &&
-                        this.i < this.levels[this.lv].length - 1)
+                        
+                        if(this.quickDraw)
                             break;
                         else if(this.polygonMode <= 0)
                         {
@@ -1951,6 +1998,13 @@ class Renderer
                         }
                         else
                             break;
+
+                        // if(this.quickDraw && !breakAhead &&
+                        // (this.quickBacktrack || this.stack.length > 0 &&
+                        // this.ori === this.stack[this.stack.length - 1][1]) &&
+                        // this.i < this.levels[this.lv].length - 1)
+                        //     break;
+                        
                 }
             }
             if(!this.backtrackTail || this.stack.length == 0)

From 0d2790408d3ab9934dd54ef4c9077c5f9eb85d95 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 12 Feb 2023 21:54:47 +0700
Subject: [PATCH 15/94] Fixed hesitation not working; Increased time
 measurement accuracy

---
 renderer.js | 17 +++++++++++++++--
 1 file changed, 15 insertions(+), 2 deletions(-)

diff --git a/renderer.js b/renderer.js
index af0542d..1c4c24c 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1656,6 +1656,7 @@ class Renderer
         if(clearGraph)
         {
             this.elapsed = 0;
+            time = 0;
             theory.clearGraph();
         }
         theory.invalidateTertiaryEquation();
@@ -1846,7 +1847,10 @@ class Renderer
         for(j = 0; j < 2; ++j)
         {
             if(this.cooldown > 0)
+            {
                 --this.cooldown;
+                return;
+            }
 
             if(this.models.length)
             {
@@ -1908,7 +1912,10 @@ class Renderer
                         break;
                     case ']':
                         if(this.cooldown > 0)
+                        {
+                            --this.cooldown;
                             return;
+                        }
 
                         if(this.stack.length == 0)
                         {
@@ -1960,7 +1967,10 @@ class Renderer
                         return;
                     default:
                         if(this.cooldown > 0)
+                        {
+                            --this.cooldown;
                             return;
+                        }
 
                         let ignored = this.system.ignoreList.has(
                         this.levels[this.lv][this.i]);
@@ -1968,6 +1978,7 @@ class Renderer
                         if(this.hesitate &&
                         this.levels[this.lv][this.i + 1] == ']')
                             this.cooldown = 1;
+
                         // if(ignored)
                         // {
                         //     if(this.quickDraw && this.stack.length > 0 &&
@@ -1976,9 +1987,11 @@ class Renderer
                         //     break;
                         // }
 
-                        if(!this.quickBacktrack && this.stack.length == 0 ||
+                        let moved = this.stack.length == 0 ||
                         (this.stack.length > 0 &&
-                        this.state !== this.stack[this.stack.length - 1][0]))
+                        this.state !== this.stack[this.stack.length - 1][0]);
+
+                        if(!this.quickBacktrack && moved)
                             this.stack.push([this.state, this.ori]);
 
                         if(!this.ignored)

From 98747dd31ca7f8c3f35e052523285122d6ba4cbe Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 12 Feb 2023 21:57:08 +0700
Subject: [PATCH 16/94] Updated guide entry of 0.3 tick length

---
 renderer.js | 13 +++----------
 1 file changed, 3 insertions(+), 10 deletions(-)

diff --git a/renderer.js b/renderer.js
index 1c4c24c..a2babd6 100644
--- a/renderer.js
+++ b/renderer.js
@@ -688,16 +688,9 @@ Now, while tickspeed might be more of a familiar concept to the idle ` +
 `of leaves and flowers, this speed feels at home with plant modelling. It ` +
 `offers a good compromise between speed and precision, although even 0.1 ` +
 `would be too slow for large scale figures.
-- 0.3 sec: with loose slanted lines, tick length 0.3 is generally is a solid ` +
-`option for any figure requiring some playfulness. However, it is fairly ` +
-`unknown that tick length 0.3 holds the most powerful secret in this whole ` +
-`universe: it can truly create the straightest lines out of this family. As ` +
-`always, some tricks are needed here:
-    + First, create an anchor at this speed by holding -.
-    + Switch back and forth between levels to reset the turtle.
-    + Activate the anchor by holding +, and marvel at the beauty of it all.
-Note: This trick is not guaranteed to work every time, so it is advised to ` +
-`try again multiple times.
+- 0.3 sec: Tick length 0.3 holds the most powerful secret in this whole ` +
+`universe: it can create the straightest lines out of this family. No ` +
+`trickery needed!
 - 0.4 sec: this one can really spice the figure up by tying up cute knots ` +
 `between corners occasionally, mimicking leaf shapes on a tree.
 - 0.5 sec: with slight occasional overshoots, tick length 0.5 proves itself ` +

From 9443f7e5c26e02f7fd51c41e3089c6a29747518f Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 01:21:10 +0700
Subject: [PATCH 17/94] Revamped logic for quick backtrack

---
 TODO.md     | 14 ++++++++------
 renderer.js | 18 +++++++++++-------
 2 files changed, 19 insertions(+), 13 deletions(-)

diff --git a/TODO.md b/TODO.md
index faa8b1d..be9995d 100644
--- a/TODO.md
+++ b/TODO.md
@@ -23,16 +23,18 @@
 - [ ] Compress internal state? LZW, LZP
 - [ ] Ask Gilles about changing the spline used in 3D graph
 - [ ] How about locking rotation? (for Navier Stokes)
+- [ ] Screen adaptive button sizes (40, 44, 48) plus other stuff maybe
 - [ ] Rework quickdraw / BT logic
-  - [ ] Add a cooldown system
+  - [ ] Progress: Regular & backtrack done, quickdraw remaining
+  - [x] Add a cooldown system
   - [ ] Proposal: remove idxStack and instead turn stack into a 2D array
-  - [ ] Hesitate on both ends if hesitation is on?
-  - [ ] When just pushing onto the stack normally (on an F point), don't push
+  - [x] Hesitate on both ends if hesitation is on?
+  - [x] When just pushing onto the stack normally (on an F point), don't push
   if the position hasn't changed, because the orientation doesn't matter if
   the stack point isn't a `[` bracket point
-  - [ ] If the `]]]]]` are stacked, hesitation time is massive
-    - [ ] If the stack hasn't detected any movement, just don't do anything
-    - [ ] Hesitate only when the turtle was moved compared to last time?
+  - [x] If the `]]]]]` are stacked, hesitation time is massive
+    - [x] If the stack hasn't detected any movement, just don't do anything
+    - [x] Hesitate only when the turtle was moved compared to last time?
     - [ ] Does it work with ignored?
   (because of the ignored stuff)
   - [ ] The pop in `]` might be a problem if the branch stack has nothing yet?
diff --git a/renderer.js b/renderer.js
index a2babd6..74bef89 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1836,7 +1836,7 @@ class Renderer
         Don't worry, it'll not run forever. This is just to prevent the renderer
         from hesitating for 1 tick every loop.
         */
-        let j, t;
+        let j, t, moved;
         for(j = 0; j < 2; ++j)
         {
             if(this.cooldown > 0)
@@ -1916,6 +1916,9 @@ class Renderer
                             break;
                         }
 
+                        moved = this.state !==
+                        this.stack[this.stack.length - 1][0];
+
                         t = this.stack.pop();
                         this.state = t[0];
                         this.ori = t[1];
@@ -1923,7 +1926,7 @@ class Renderer
                         this.idxStack[this.idxStack.length - 1])
                         {
                             this.idxStack.pop();
-                            if(this.hesitate && this.polygonMode <= 0)
+                            if(this.hesitate && this.polygonMode <= 0 && moved)
                             {
                                 ++this.i;
                                 this.cooldown = 1;
@@ -1931,7 +1934,8 @@ class Renderer
                             }
                             else
                             {
-                                this.cooldown = 1;
+                                if(moved)
+                                    this.cooldown = 1;
                                 break;
                             }
                         }
@@ -1968,7 +1972,7 @@ class Renderer
                         let ignored = this.system.ignoreList.has(
                         this.levels[this.lv][this.i]);
 
-                        if(this.hesitate &&
+                        if(this.hesitate && !this.quickBacktrack &&
                         this.levels[this.lv][this.i + 1] == ']')
                             this.cooldown = 1;
 
@@ -1980,9 +1984,9 @@ class Renderer
                         //     break;
                         // }
 
-                        let moved = this.stack.length == 0 ||
-                        (this.stack.length > 0 &&
-                        this.state !== this.stack[this.stack.length - 1][0]);
+                        moved = this.stack.length == 0 ||
+                        (this.stack.length > 0 && this.state !==
+                        this.stack[this.stack.length - 1][0]);
 
                         if(!this.quickBacktrack && moved)
                             this.stack.push([this.state, this.ori]);

From 62856e85476390575bfc013bae011e475988f62b Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 14:34:04 +0700
Subject: [PATCH 18/94] Fixed quick BT forcing hesitation

---
 TODO.md     |  3 ++-
 renderer.js | 16 ++++++++--------
 2 files changed, 10 insertions(+), 9 deletions(-)

diff --git a/TODO.md b/TODO.md
index be9995d..dc0abf4 100644
--- a/TODO.md
+++ b/TODO.md
@@ -26,12 +26,13 @@
 - [ ] Screen adaptive button sizes (40, 44, 48) plus other stuff maybe
 - [ ] Rework quickdraw / BT logic
   - [ ] Progress: Regular & backtrack done, quickdraw remaining
+  - [ ] Test suite: Arrow, Cantor, Snowflake
   - [x] Add a cooldown system
-  - [ ] Proposal: remove idxStack and instead turn stack into a 2D array
   - [x] Hesitate on both ends if hesitation is on?
   - [x] When just pushing onto the stack normally (on an F point), don't push
   if the position hasn't changed, because the orientation doesn't matter if
   the stack point isn't a `[` bracket point
+  - [x] Issue: quick BT still forces hesitation on the way forward
   - [x] If the `]]]]]` are stacked, hesitation time is massive
     - [x] If the stack hasn't detected any movement, just don't do anything
     - [x] Hesitate only when the turtle was moved compared to last time?
diff --git a/renderer.js b/renderer.js
index 74bef89..aa9c4f9 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1439,12 +1439,12 @@ class Renderer
      * straight lines on the way forward.
      * @param {boolean} quickBacktrack (default: false) whether to skip through
      * straight lines on the way backward.
-     * @param {string} backtrackList (default: '+-&^\\/|[]') a list of symbols
-     * to act as stoppers for backtracking.
+     * @param {string} backtrackList (default: '+-&^\\/|[') a list of symbols to
+     * act as stoppers for backtracking.
      */
     constructor(system, figureScale = 1, cameraMode = 0, camX = 0, camY = 0,
     camZ = 0, followFactor = 0.15, loopMode = 0, upright = false,
-    quickDraw = false, quickBacktrack = false, backtrackList = '+-&^\\/|[]',
+    quickDraw = false, quickBacktrack = false, backtrackList = '+-&^\\/|[',
     loadModels = true, backtrackTail = false, hesitate = true)
     {
         /**
@@ -1971,9 +1971,11 @@ class Renderer
 
                         let ignored = this.system.ignoreList.has(
                         this.levels[this.lv][this.i]);
+                        let breakAhead = this.backtrackList.has(
+                        this.levels[this.lv][this.i + 1]);
+                        let btAhead = this.levels[this.lv][this.i + 1] == ']';
 
-                        if(this.hesitate && !this.quickBacktrack &&
-                        this.levels[this.lv][this.i + 1] == ']')
+                        if(this.hesitate && btAhead)
                             this.cooldown = 1;
 
                         // if(ignored)
@@ -1991,11 +1993,9 @@ class Renderer
                         if(!this.quickBacktrack && moved)
                             this.stack.push([this.state, this.ori]);
 
-                        if(!this.ignored)
+                        if(!ignored)
                             this.forward();
 
-                        let breakAhead = this.backtrackList.has(
-                        this.levels[this.lv][this.i + 1]);
                         if(this.quickBacktrack && breakAhead)
                             this.stack.push([this.state, this.ori]);
                         

From fdd98bd0280e996e401be535fbe8fb20b9298830 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 16:34:11 +0700
Subject: [PATCH 19/94] Fixed backtrack not working with quickdraw

---
 renderer.js | 23 +++++++----------------
 1 file changed, 7 insertions(+), 16 deletions(-)

diff --git a/renderer.js b/renderer.js
index aa9c4f9..53f4890 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1839,6 +1839,7 @@ class Renderer
         let j, t, moved;
         for(j = 0; j < 2; ++j)
         {
+            log(`${Math.round(this.elapsed)}, ${this.i} ${this.levels[this.lv][this.i]} (-${this.cooldown}): ${this.stack.length} stacked`)
             if(this.cooldown > 0)
             {
                 --this.cooldown;
@@ -1865,39 +1866,25 @@ class Renderer
                         break;
                     case '+':
                         this.ori = this.system.rotations.get('+').mul(this.ori);
-                        if(this.quickDraw)
-                            this.cooldown = 1;
                         break;
                     case '-':
                         this.ori = this.system.rotations.get('-').mul(this.ori);
-                        if(this.quickDraw)
-                            this.cooldown = 1;
                         break;
                     case '&':
                         this.ori = this.system.rotations.get('&').mul(this.ori);
-                        if(this.quickDraw)
-                            this.cooldown = 1;
                         break;
                     case '^':
                         this.ori = this.system.rotations.get('^').mul(this.ori);
-                        if(this.quickDraw)
-                            this.cooldown = 1;
                         break;
                     case '\\':
                         this.ori = this.system.rotations.get('\\').mul(
                         this.ori);
-                        if(this.quickDraw)
-                            this.cooldown = 1;
                         break;
                     case '/':
                         this.ori = this.system.rotations.get('/').mul(this.ori);
-                        if(this.quickDraw)
-                            this.cooldown = 1;
                         break;
                     case '|':
                         this.ori = ZAxisQuat.mul(this.ori);
-                        if(this.quickDraw)
-                            this.cooldown = 1;
                         break;
                     case '[':
                         this.idxStack.push(this.stack.length);
@@ -1973,11 +1960,15 @@ class Renderer
                         this.levels[this.lv][this.i]);
                         let breakAhead = this.backtrackList.has(
                         this.levels[this.lv][this.i + 1]);
-                        let btAhead = this.levels[this.lv][this.i + 1] == ']';
+                        let btAhead = this.levels[this.lv][this.i + 1] == ']' ||
+                        this.i == this.levels[this.lv].length - 1;
 
                         if(this.hesitate && btAhead)
                             this.cooldown = 1;
 
+                        if(this.quickDraw && breakAhead)
+                            this.cooldown = 1;
+
                         // if(ignored)
                         // {
                         //     if(this.quickDraw && this.stack.length > 0 &&
@@ -1999,7 +1990,7 @@ class Renderer
                         if(this.quickBacktrack && breakAhead)
                             this.stack.push([this.state, this.ori]);
                         
-                        if(this.quickDraw)
+                        if(this.quickDraw && !btAhead)
                             break;
                         else if(this.polygonMode <= 0)
                         {

From b9a3c9348b9085513ca27288aa7da8027f7b643d Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 17:48:36 +0700
Subject: [PATCH 20/94] Fixed RNG nextFloat() not working

---
 TODO.md     | 11 ++++++++---
 renderer.js | 32 ++++++++++++++++----------------
 2 files changed, 24 insertions(+), 19 deletions(-)

diff --git a/TODO.md b/TODO.md
index dc0abf4..2074342 100644
--- a/TODO.md
+++ b/TODO.md
@@ -10,10 +10,10 @@
 
 - [ ] Arrange coding streams
   - Ask if people would be interested
+- [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
 
 - [ ] Add more comments in the code
 - [ ] Update docstrings
-- [x] Turtle controls summary page in guide
 - [ ] A more detailed README
   - Showcases the power of tickspeed and stroke options
   - Discusses limitations of the game
@@ -24,9 +24,13 @@
 - [ ] Ask Gilles about changing the spline used in 3D graph
 - [ ] How about locking rotation? (for Navier Stokes)
 - [ ] Screen adaptive button sizes (40, 44, 48) plus other stuff maybe
+- [ ] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
 - [ ] Rework quickdraw / BT logic
-  - [ ] Progress: Regular & backtrack done, quickdraw remaining
-  - [ ] Test suite: Arrow, Cantor, Snowflake
+  - Progress: Regular, backtrack, quickdraw done
+  - Test suites:
+    - [x] Arrow (8/8)
+    - [x] Cantor (8/8)
+    - [ ] Snowflake (0/8) - still wasting time on ignored shits
   - [x] Add a cooldown system
   - [x] Hesitate on both ends if hesitation is on?
   - [x] When just pushing onto the stack normally (on an F point), don't push
@@ -41,6 +45,7 @@
   - [ ] The pop in `]` might be a problem if the branch stack has nothing yet?
   - [ ] Remove the backtrack list option
     - Also, backtrack on the way back and forward needs different lists?
+- [x] Turtle controls summary page in guide
 - [ ] Revamp sequence menu
   - Level 0: 10 chars (`View`)
   - Classic LS: displays the entire string in a label
diff --git a/renderer.js b/renderer.js
index 53f4890..ac5cf27 100644
--- a/renderer.js
+++ b/renderer.js
@@ -940,6 +940,8 @@ class Xorshift
     constructor(seed = 1752)
     {
         this.state = seed;
+        this.mod = 0x100000000;
+                // 0xffff ffff
     }
     /**
      * Returns a random integer within [0, 2^32) probably.
@@ -962,16 +964,13 @@ class Xorshift
      */
     nextFloat(includeEnd = false)
     {
-        if(includeEnd)
-        {
-            // [0, 1]
-            return this.nextInt / (this.m - 1);
-        }
-        else
-        {
-            // [0, 1)
-            return this.nextInt / this.m;
-        }
+        let result;
+        if(includeEnd)  // [-1, 1]
+            result = this.nextInt / (this.mod - 1);
+        else            // [-1, 1)
+            result = this.nextInt / this.mod;
+
+        return (result + 1) / 2;
     }
     /**
      * Returns a random integer within a range of [start, end).
@@ -1839,7 +1838,9 @@ class Renderer
         let j, t, moved;
         for(j = 0; j < 2; ++j)
         {
-            log(`${Math.round(this.elapsed)}, ${this.i} ${this.levels[this.lv][this.i]} (-${this.cooldown}): ${this.stack.length} stacked`)
+            // log(`${Math.round(this.elapsed)}, ${this.i} ` +
+            // `${this.levels[this.lv][this.i]} (-${this.cooldown}): ` +
+            // `${this.stack.length} stacked`)
             if(this.cooldown > 0)
             {
                 --this.cooldown;
@@ -1913,16 +1914,15 @@ class Renderer
                         this.idxStack[this.idxStack.length - 1])
                         {
                             this.idxStack.pop();
-                            if(this.hesitate && this.polygonMode <= 0 && moved)
+                            if(moved)
+                                this.cooldown = 1;
+                            if(this.hesitate && this.polygonMode <= 0)
                             {
                                 ++this.i;
-                                this.cooldown = 1;
                                 return;
                             }
                             else
                             {
-                                if(moved)
-                                    this.cooldown = 1;
                                 break;
                             }
                         }
@@ -1981,7 +1981,7 @@ class Renderer
                         (this.stack.length > 0 && this.state !==
                         this.stack[this.stack.length - 1][0]);
 
-                        if(!this.quickBacktrack && moved)
+                        if(!this.quickBacktrack && moved && !ignored)
                             this.stack.push([this.state, this.ori]);
 
                         if(!ignored)

From db8828e48f10de5766f8d482c8f4bdc3b2304810 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 18:48:08 +0700
Subject: [PATCH 21/94] Split hesitation into two options

---
 renderer.js | 108 ++++++++++++++++++++++++++++++++++------------------
 1 file changed, 72 insertions(+), 36 deletions(-)

diff --git a/renderer.js b/renderer.js
index ac5cf27..63ac7df 100644
--- a/renderer.js
+++ b/renderer.js
@@ -176,6 +176,8 @@ const locStrings =
         labelQuickdraw: '* Quickdraw (unstable): ',
         labelQuickBT: '* Quick backtrack: ',
         labelHesitate: '* Stutter on backtrack: ',
+        labelHesitateApex: '* Stutter at apex: ',
+        labelHesitateNode: '* Stutter at node: ',
         labelBTList: '* Backtrack list: ',
         labelRequireReset: '* Modifying this setting will require a reset.',
 
@@ -1444,7 +1446,8 @@ class Renderer
     constructor(system, figureScale = 1, cameraMode = 0, camX = 0, camY = 0,
     camZ = 0, followFactor = 0.15, loopMode = 0, upright = false,
     quickDraw = false, quickBacktrack = false, backtrackList = '+-&^\\/|[',
-    loadModels = true, backtrackTail = false, hesitate = true)
+    loadModels = true, backtrackTail = false, hesitateApex = true,
+    hesitateNode = true)
     {
         /**
          * @type {LSystem} the L-system being handled.
@@ -1504,7 +1507,8 @@ class Renderer
         this.backtrackList = new Set(backtrackList);
         this.loadModels = loadModels;
         this.backtrackTail = backtrackTail;
-        this.hesitate = hesitate;
+        this.hesitateApex = hesitateApex;
+        this.hesitateNode = hesitateNode;
         /**
          * @type {Vector3} the cursor's position.
          * @public but shouldn't be.
@@ -1673,12 +1677,14 @@ class Renderer
      */
     configure(figureScale, cameraMode, camX, camY, camZ, followFactor,
     loopMode, upright, quickDraw, quickBacktrack, backtrackList, loadModels,
-    backtrackTail, hesitate)
+    backtrackTail, hesitateApex, hesitateNode)
     {
         let requireReset = (figureScale !== this.figScaleStr) ||
         (upright != this.upright) || (quickDraw != this.quickDraw) ||
         (quickBacktrack != this.quickBacktrack) ||
-        (loadModels != this.loadModels) || (hesitate != this.hesitate);
+        (loadModels != this.loadModels) ||
+        (hesitateApex != this.hesitateApex) ||
+        (hesitateNode != this.hesitateNode);
 
         this.figScaleStr = figureScale.toString();
         this.figScaleExpr = MathExpression.parse(this.figScaleStr);
@@ -1710,7 +1716,8 @@ class Renderer
         this.backtrackList = btl;
         this.loadModels = loadModels;
         this.backtrackTail = backtrackTail;
-        this.hesitate = hesitate;
+        this.hesitateApex = hesitateApex;
+        this.hesitateNode = hesitateNode;
 
         if(requireReset)
             this.reset();
@@ -1916,7 +1923,7 @@ class Renderer
                             this.idxStack.pop();
                             if(moved)
                                 this.cooldown = 1;
-                            if(this.hesitate && this.polygonMode <= 0)
+                            if(this.hesitateNode && this.polygonMode <= 0)
                             {
                                 ++this.i;
                                 return;
@@ -1963,7 +1970,7 @@ class Renderer
                         let btAhead = this.levels[this.lv][this.i + 1] == ']' ||
                         this.i == this.levels[this.lv].length - 1;
 
-                        if(this.hesitate && btAhead)
+                        if(this.hesitateApex && btAhead)
                             this.cooldown = 1;
 
                         if(this.quickDraw && breakAhead)
@@ -2201,7 +2208,7 @@ class Renderer
      */
     toString()
     {
-        return`${this.figScaleStr} ${this.cameraMode} ${this.camXStr} ${this.camYStr} ${this.camZStr} ${this.followFactor} ${this.loopMode} ${this.upright ? 1 : 0} ${this.quickDraw ? 1 : 0} ${this.quickBacktrack ? 1 : 0} ${[...this.backtrackList].join('')} ${this.loadModels ? 1 : 0} ${this.backtrackTail ? 1 : 0} ${this.hesitate}`;
+        return`${this.figScaleStr} ${this.cameraMode} ${this.camXStr} ${this.camYStr} ${this.camZStr} ${this.followFactor} ${this.loopMode} ${this.upright ? 1 : 0} ${this.quickDraw ? 1 : 0} ${this.quickBacktrack ? 1 : 0} ${[...this.backtrackList].join('')} ${this.loadModels ? 1 : 0} ${this.backtrackTail ? 1 : 0} ${this.hesitateApex} ${this.hesitateNode}`;
     }
 }
 
@@ -3225,17 +3232,17 @@ let createConfigMenu = () =>
             }
         }
     });
-    let tmpHes = renderer.hesitate;
-    let hesLabel = ui.createLatexLabel
+    let tmpHesA = renderer.hesitateApex;
+    let hesALabel = ui.createLatexLabel
     ({
-        text: getLoc('labelHesitate'),
+        text: getLoc('labelHesitateApex'),
         row: 2,
         column: 0,
         verticalOptions: LayoutOptions.CENTER
     });
-    let hesSwitch = ui.createSwitch
+    let hesASwitch = ui.createSwitch
     ({
-        isToggled: tmpHes,
+        isToggled: tmpHesA,
         row: 2,
         column: 1,
         horizontalOptions: LayoutOptions.END,
@@ -3245,30 +3252,55 @@ let createConfigMenu = () =>
                 e.type == TouchType.LONGPRESS_RELEASED)
             {
                 Sound.playClick();
-                tmpHes = !tmpHes;
-                hesSwitch.isToggled = tmpHes;
+                tmpHesA = !tmpHesA;
+                hesASwitch.isToggled = tmpHesA;
             }
         }
     });
-    let tmpEXB = [...renderer.backtrackList].join('');
-    let EXBLabel = ui.createLatexLabel
+    let tmpHesN = renderer.hesitateNode;
+    let hesNLabel = ui.createLatexLabel
     ({
-        text: getLoc('labelBTList'),
+        text: getLoc('labelHesitateNode'),
         row: 3,
         column: 0,
         verticalOptions: LayoutOptions.CENTER
     });
-    let EXBEntry = ui.createEntry
+    let hesNSwitch = ui.createSwitch
     ({
-        text: tmpEXB,
+        isToggled: tmpHesN,
         row: 3,
         column: 1,
-        horizontalTextAlignment: TextAlignment.END,
-        onTextChanged: (ot, nt) =>
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
         {
-            tmpEXB = nt;
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpHesN = !tmpHesN;
+                hesNSwitch.isToggled = tmpHesN;
+            }
         }
     });
+    // let tmpEXB = [...renderer.backtrackList].join('');
+    // let EXBLabel = ui.createLatexLabel
+    // ({
+    //     text: getLoc('labelBTList'),
+    //     row: 3,
+    //     column: 0,
+    //     verticalOptions: LayoutOptions.CENTER
+    // });
+    // let EXBEntry = ui.createEntry
+    // ({
+    //     text: tmpEXB,
+    //     row: 3,
+    //     column: 1,
+    //     horizontalTextAlignment: TextAlignment.END,
+    //     onTextChanged: (ot, nt) =>
+    //     {
+    //         tmpEXB = nt;
+    //     }
+    // });
 
     let menu = ui.createPopup
     ({
@@ -3346,7 +3378,7 @@ let createConfigMenu = () =>
                             }),
                             ui.createGrid
                             ({
-                                // rowDefinitions: [40, 40, 40, 40, 40],
+                                rowDefinitions: [40, 40, 40, 40],
                                 columnDefinitions: ['70*', '30*'],
                                 children:
                                 [
@@ -3366,10 +3398,10 @@ let createConfigMenu = () =>
                                         verticalOptions: LayoutOptions.CENTER
                                     }),
                                     QBSwitch,
-                                    hesLabel,
-                                    hesSwitch,
-                                    EXBLabel,
-                                    EXBEntry
+                                    hesALabel,
+                                    hesASwitch,
+                                    hesNLabel,
+                                    hesNSwitch
                                 ]
                             })
                         ]
@@ -3402,8 +3434,8 @@ let createConfigMenu = () =>
                                 Sound.playClick();
                                 let requireReset = renderer.configure(tmpZE,
                                 tmpCM, tmpCX, tmpCY, tmpCZ, tmpFF, tmpLM,
-                                tmpUpright, tmpQD, tmpQB, tmpEXB, tmpModel,
-                                tmpTail, tmpHes);
+                                tmpUpright, tmpQD, tmpQB, undefined, tmpModel,
+                                tmpTail, tmpHesA, tmpHesN);
                                 lvlControls.updateDescription();
                                 menu.hide();
                             }
@@ -3435,8 +3467,10 @@ let createConfigMenu = () =>
                                 modelSwitch.isToggled = rx.loadModels;
                                 tmpTail = rx.backtrackTail;
                                 tailSwitch.isToggled = rx.backtrackTail;
-                                tmpHes = rx.hesitate;
-                                hesSwitch.isToggled = rx.hesitate;
+                                tmpHesA = rx.hesitateApex;
+                                hesASwitch.isToggled = rx.hesitateApex;
+                                tmpHesN = rx.hesitateNode;
+                                hesNSwitch.isToggled = rx.hesitateNode;
                                 lvlControls.updateDescription();
                                 // menu.hide();
                             }
@@ -5061,9 +5095,10 @@ var getInternalState = () => JSON.stringify
         loadModels: renderer.loadModels,
         quickDraw: renderer.quickDraw,
         quickBacktrack: renderer.quickBacktrack,
-        backtrackList: [...renderer.backtrackList].join(''),
+        // backtrackList: [...renderer.backtrackList].join(''),
         backtrackTail: renderer.backtrackTail,
-        hesitate: renderer.hesitate
+        hesitateApex: renderer.hesitateApex,
+        hesitateNode: renderer.hesitateNode
     },
     system: tmpSystem ?
     {
@@ -5129,8 +5164,9 @@ var setInternalState = (stateStr) =>
             state.renderer.camZ, state.renderer.followFactor,
             state.renderer.loopMode, state.renderer.upright,
             state.renderer.quickDraw, state.renderer.quickBacktrack,
-            state.renderer.backtrackList, state.renderer.loadModels,
-            state.renderer.backtrackTail, state.renderer.hesitate);
+            undefined, state.renderer.loadModels,
+            state.renderer.backtrackTail, state.renderer.hesitateApex,
+            state.renderer.hesitateNode);
         }
         else
             renderer = new Renderer(system);

From 56a42f331b0f3316fd8731bc8a0d1e0f66a01aaf Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 19:19:59 +0700
Subject: [PATCH 22/94] Adapted button sizes to different resolutions

---
 TODO.md     |  57 +++++++++++++------------
 renderer.js | 117 +++++++++++++++++++++++++++++++++++++++-------------
 2 files changed, 118 insertions(+), 56 deletions(-)

diff --git a/TODO.md b/TODO.md
index 2074342..b42baa0 100644
--- a/TODO.md
+++ b/TODO.md
@@ -1,12 +1,13 @@
 # LSR: To-do List
 
 - [LSR: To-do List](#lsr-to-do-list)
-  - [1.00, Mistletoe ed.](#100-mistletoe-ed)
+  - [1.0, Mistletoe ed.](#10-mistletoe-ed)
+  - [1.0: Completed](#10-completed)
   - [0.21: Completed](#021-completed)
   - [0.20: Completed](#020-completed)
   - [Impossible or Scrapped](#impossible-or-scrapped)
 
-## 1.00, Mistletoe ed.
+## 1.0, Mistletoe ed.
 
 - [ ] Arrange coding streams
   - Ask if people would be interested
@@ -23,29 +24,7 @@
 - [ ] Compress internal state? LZW, LZP
 - [ ] Ask Gilles about changing the spline used in 3D graph
 - [ ] How about locking rotation? (for Navier Stokes)
-- [ ] Screen adaptive button sizes (40, 44, 48) plus other stuff maybe
 - [ ] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
-- [ ] Rework quickdraw / BT logic
-  - Progress: Regular, backtrack, quickdraw done
-  - Test suites:
-    - [x] Arrow (8/8)
-    - [x] Cantor (8/8)
-    - [ ] Snowflake (0/8) - still wasting time on ignored shits
-  - [x] Add a cooldown system
-  - [x] Hesitate on both ends if hesitation is on?
-  - [x] When just pushing onto the stack normally (on an F point), don't push
-  if the position hasn't changed, because the orientation doesn't matter if
-  the stack point isn't a `[` bracket point
-  - [x] Issue: quick BT still forces hesitation on the way forward
-  - [x] If the `]]]]]` are stacked, hesitation time is massive
-    - [x] If the stack hasn't detected any movement, just don't do anything
-    - [x] Hesitate only when the turtle was moved compared to last time?
-    - [ ] Does it work with ignored?
-  (because of the ignored stuff)
-  - [ ] The pop in `]` might be a problem if the branch stack has nothing yet?
-  - [ ] Remove the backtrack list option
-    - Also, backtrack on the way back and forward needs different lists?
-- [x] Turtle controls summary page in guide
 - [ ] Revamp sequence menu
   - Level 0: 10 chars (`View`)
   - Classic LS: displays the entire string in a label
@@ -55,12 +34,10 @@
   - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
   - [ ] Button to change mode between degrees and radians
 
-- [x] Implement new RNG (Xorshift) instead of th fucjuing Lcg
-
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Can multiple derivations on the same rule still be made? Ruins parity
-  - [x] Allow both modes to exist (implemented in Classic)
+  - [x] Allow both modes to exist (ONLY in Classic)
 
 - [ ] Investigate tropism (capital T)
 - [ ] Investigate sunlight heading (heliotropism) (`$`)
@@ -140,6 +117,32 @@
   };
   ```
 
+## 1.0: Completed
+
+- [x] Implement new RNG (Xorshift) instead of th fucjuing Lcg
+- [x] Screen adaptive button sizes (40, 44, 48) plus other stuff maybe
+- [x] Rework quickdraw / BT logic (**good enough!**)
+  - Progress: Regular, backtrack, quickdraw done
+  - Test suites:
+    - [x] Arrow (8/8)
+    - [x] Cantor (8/8)
+    - [ ] Snowflake (0/8) - still wasting time on ignored shits
+  - [x] Add a cooldown system
+  - [x] Hesitate on both ends if hesitation is on?
+  - [x] When just pushing onto the stack normally (on an F point), don't push
+  if the position hasn't changed, because the orientation doesn't matter if
+  the stack point isn't a `[` bracket point
+  - [x] Issue: quick BT still forces hesitation on the way forward
+  - [x] If the `]]]]]` are stacked, hesitation time is massive
+    - [x] If the stack hasn't detected any movement, just don't do anything
+    - [x] Hesitate only when the turtle was moved compared to last time?
+    - [ ] Does it work with ignored? No
+  (because of the ignored stuff)
+  - [ ] The pop in `]` might be a problem if the branch stack has nothing yet?
+  - [x] Remove the backtrack list option
+    - Also, backtrack on the way back and forward needs different lists?
+- [x] Turtle controls summary page in guide
+
 ## 0.21: Completed
 
 - [x] Renderer menu:
diff --git a/renderer.js b/renderer.js
index 63ac7df..e831ebe 100644
--- a/renderer.js
+++ b/renderer.js
@@ -87,7 +87,56 @@ let menuLang = Localization.language;
 
 let savedSystems = new Map();
 
-const DEFAULT_BUTTON_HEIGHT = Math.max(ui.screenHeight * 0.055, 48);
+let getImageSize = (width) =>
+{
+    if(width >= 1080)
+        return 48;
+    if(width >= 720)
+        return 36;
+    if(width >= 360)
+        return 24;
+
+    return 20;
+}
+
+let getBtnSize = (width) =>
+{
+    if(width >= 1080)
+        return 96;
+    if(width >= 720)
+        return 72;
+    if(width >= 360)
+        return 48;
+
+    return 40;
+}
+
+let getMediumBtnSize = (width) =>
+{
+    if(width >= 1080)
+        return 88;
+    if(width >= 720)
+        return 66;
+    if(width >= 360)
+        return 44;
+
+    return 36;
+}
+
+let getSmallBtnSize = (width) =>
+{
+    if(width >= 1080)
+        return 80;
+    if(width >= 720)
+        return 60;
+    if(width >= 360)
+        return 40;
+
+    return 32;
+}
+
+const BUTTON_HEIGHT = getBtnSize(ui.screenWidth);
+const SMALL_BUTTON_HEIGHT = getSmallBtnSize(ui.screenWidth);
 const ENTRY_CHAR_LIMIT = 5000;
 const locStrings =
 {
@@ -2237,7 +2286,7 @@ class VariableControls
     {
         this.varBtn.content.text = this.variable.getDescription();
     }
-    createVariableButton(callback = null, height = DEFAULT_BUTTON_HEIGHT)
+    createVariableButton(callback = null, height = BUTTON_HEIGHT)
     {
         if(this.varBtn !== null)
             return this.varBtn;
@@ -2292,7 +2341,7 @@ class VariableControls
         this.refundBtn.content.textColor = this.variable.level > 0 ?
         Color.TEXT : Color.TEXT_MEDIUM;
     }
-    createRefundButton(symbol = '-', height = DEFAULT_BUTTON_HEIGHT)
+    createRefundButton(symbol = '-', height = BUTTON_HEIGHT)
     {
         if(this.refundBtn !== null)
             return this.refundBtn;
@@ -2359,7 +2408,7 @@ class VariableControls
         this.buyBtn.content.textColor = this.variable.level <
         this.variable.maxLevel ? Color.TEXT : Color.TEXT_MEDIUM;
     }
-    createBuyButton(symbol = '+', height = DEFAULT_BUTTON_HEIGHT)
+    createBuyButton(symbol = '+', height = BUTTON_HEIGHT)
     {
         if(this.buyBtn !== null)
             return this.buyBtn;
@@ -2786,7 +2835,7 @@ var getEquationOverlay = () =>
     return result;
 }
 
-let createButton = (label, callback, height = DEFAULT_BUTTON_HEIGHT) =>
+let createButton = (label, callback, height = BUTTON_HEIGHT) =>
 {
     let frame = ui.createFrame
     ({
@@ -2883,7 +2932,7 @@ var getUpgradeListDelegate = () =>
             renderer.constructSystem = tmpSystem;
             tmpSystem = null;
         }
-    }, Math.max(ui.screenHeight * 0.05, 44));
+    }, getMediumBtnSize(ui.screenWidth));
     resumeButton.content.horizontalOptions = LayoutOptions.CENTER;
     resumeButton.isVisible = () => tmpSystem ? true : false;
     resumeButton.margin = new Thickness(0, 0, 0, 2);
@@ -2902,8 +2951,8 @@ var getUpgradeListDelegate = () =>
                     rowSpacing: 6,
                     rowDefinitions:
                     [
-                        DEFAULT_BUTTON_HEIGHT,
-                        DEFAULT_BUTTON_HEIGHT
+                        BUTTON_HEIGHT,
+                        BUTTON_HEIGHT
                     ],
                     columnDefinitions: ['50*', '50*'],
                     children:
@@ -2947,9 +2996,9 @@ var getUpgradeListDelegate = () =>
                     rowSpacing: 6,
                     rowDefinitions:
                     [
-                        DEFAULT_BUTTON_HEIGHT,
-                        DEFAULT_BUTTON_HEIGHT,
-                        DEFAULT_BUTTON_HEIGHT
+                        BUTTON_HEIGHT,
+                        BUTTON_HEIGHT,
+                        BUTTON_HEIGHT
                     ],
                     columnDefinitions: ['50*', '50*'],
                     children:
@@ -3355,7 +3404,11 @@ let createConfigMenu = () =>
                             }),
                             ui.createGrid
                             ({
-                                rowDefinitions: [40, 40],
+                                rowDefinitions:
+                                [
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT
+                                ],
                                 columnDefinitions: ['70*', '30*'],
                                 children:
                                 [
@@ -3378,7 +3431,13 @@ let createConfigMenu = () =>
                             }),
                             ui.createGrid
                             ({
-                                rowDefinitions: [40, 40, 40, 40],
+                                rowDefinitions:
+                                [
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT
+                                ],
                                 columnDefinitions: ['70*', '30*'],
                                 children:
                                 [
@@ -3420,7 +3479,7 @@ let createConfigMenu = () =>
                 }),
                 ui.createGrid
                 ({
-                    minimumHeightRequest: 64,
+                    minimumHeightRequest: BUTTON_HEIGHT,
                     columnDefinitions: ['50*', '50*'],
                     children:
                     [
@@ -3589,7 +3648,7 @@ let createSystemMenu = () =>
             ({
                 text: getLoc('btnReroll'),
                 column: 1,
-                heightRequest: 40,
+                heightRequest: SMALL_BUTTON_HEIGHT,
                 onClicked: () =>
                 {
                     Sound.playClick();
@@ -3685,7 +3744,7 @@ let createSystemMenu = () =>
                 }),
                 ui.createGrid
                 ({
-                    minimumHeightRequest: 64,
+                    minimumHeightRequest: BUTTON_HEIGHT,
                     columnDefinitions: ['50*', '50*'],
                     children:
                     [
@@ -3788,7 +3847,7 @@ let createNamingMenu = () =>
             text: getLoc('btnOverwrite'),
             row: 0,
             column: 1,
-            heightRequest: 40,
+            heightRequest: SMALL_BUTTON_HEIGHT,
             onClicked: () =>
             {
                 Sound.playClick();
@@ -3812,8 +3871,8 @@ let createNamingMenu = () =>
     });
     let systemGridScroll = ui.createScrollView
     ({
-        heightRequest: () => Math.max(40, Math.min(ui.screenHeight * 0.2,
-        systemGrid.height)),
+        heightRequest: () => Math.max(SMALL_BUTTON_HEIGHT,
+        Math.min(ui.screenHeight * 0.2, systemGrid.height)),
         content: systemGrid
     });
 
@@ -4167,7 +4226,7 @@ let createViewMenu = (title) =>
         text: getLoc('btnAdd'),
         row: 0,
         column: 1,
-        heightRequest: 40,
+        heightRequest: SMALL_BUTTON_HEIGHT,
         onClicked: () =>
         {
             Sound.playClick();
@@ -4216,7 +4275,7 @@ let createViewMenu = (title) =>
             ({
                 text: getLoc('btnReroll'),
                 column: 1,
-                heightRequest: 40,
+                heightRequest: SMALL_BUTTON_HEIGHT,
                 onClicked: () =>
                 {
                     Sound.playClick();
@@ -4359,7 +4418,7 @@ let createViewMenu = (title) =>
                 }),
                 ui.createGrid
                 ({
-                    minimumHeightRequest: 64,
+                    minimumHeightRequest: BUTTON_HEIGHT,
                     columnDefinitions: ['30*', '30*', '30*'],
                     children:
                     [
@@ -4460,7 +4519,7 @@ let createSaveMenu = () =>
             text: getLoc('btnView'),
             row: 0,
             column: 1,
-            heightRequest: 40,
+            heightRequest: SMALL_BUTTON_HEIGHT,
             onClicked: () =>
             {
                 Sound.playClick();
@@ -4482,8 +4541,8 @@ let createSaveMenu = () =>
     });
     let systemGridScroll = ui.createScrollView
     ({
-        heightRequest: () => Math.max(40, Math.min(ui.screenHeight * 0.32,
-        systemGrid.height)),
+        heightRequest: () => Math.max(SMALL_BUTTON_HEIGHT,
+        Math.min(ui.screenHeight * 0.32, systemGrid.height)),
         content: systemGrid
     });
     let menu = ui.createPopup
@@ -4510,7 +4569,7 @@ let createSaveMenu = () =>
                             text: getLoc('btnClipboard'),
                             row: 0,
                             column: 1,
-                            heightRequest: 40,
+                            heightRequest: SMALL_BUTTON_HEIGHT,
                             onClicked: () =>
                             {
                                 let clipMenu = createSystemClipboardMenu(
@@ -4529,7 +4588,7 @@ let createSaveMenu = () =>
                             text: getLoc('btnSave'),
                             row: 0,
                             column: 2,
-                            heightRequest: 40,
+                            heightRequest: SMALL_BUTTON_HEIGHT,
                             onClicked: () =>
                             {
                                 Sound.playClick();
@@ -4696,7 +4755,7 @@ let createManualMenu = () =>
                 contentsTable[i] + 1),
                 row: i,
                 column: 1,
-                heightRequest: 40,
+                heightRequest: SMALL_BUTTON_HEIGHT,
                 onClicked: () =>
                 {
                     Sound.playClick();
@@ -5027,7 +5086,7 @@ let createWorldMenu = () =>
                             text: getLoc('btnClipboard'),
                             row: 6,
                             column: 1,
-                            heightRequest: 40,
+                            heightRequest: SMALL_BUTTON_HEIGHT,
                             onClicked: () =>
                             {
                                 let clipMenu = createStateClipboardMenu(

From 689e9c5dbc48b273a9bff4b40d2588a4a0110832 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 19:36:45 +0700
Subject: [PATCH 23/94] Fixed cooldown interfering with polygon mode

---
 TODO.md     | 1 +
 renderer.js | 6 +++---
 2 files changed, 4 insertions(+), 3 deletions(-)

diff --git a/TODO.md b/TODO.md
index b42baa0..dd7e817 100644
--- a/TODO.md
+++ b/TODO.md
@@ -42,6 +42,7 @@
 - [ ] Investigate tropism (capital T)
 - [ ] Investigate sunlight heading (heliotropism) (`$`)
 
+- [x] Issue: models are broken because of backtrack rework
 - [ ] Change how models work:
   - Stochastic models are no longer available
     - Instead define stochastic rules for the actual symbol instead, pre-model 
diff --git a/renderer.js b/renderer.js
index e831ebe..83a1f01 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1897,7 +1897,7 @@ class Renderer
             // log(`${Math.round(this.elapsed)}, ${this.i} ` +
             // `${this.levels[this.lv][this.i]} (-${this.cooldown}): ` +
             // `${this.stack.length} stacked`)
-            if(this.cooldown > 0)
+            if(this.cooldown > 0 && this.polygonMode <= 0)
             {
                 --this.cooldown;
                 return;
@@ -1948,7 +1948,7 @@ class Renderer
                         this.stack.push([this.state, this.ori]);
                         break;
                     case ']':
-                        if(this.cooldown > 0)
+                        if(this.cooldown > 0 && this.polygonMode <= 0)
                         {
                             --this.cooldown;
                             return;
@@ -2006,7 +2006,7 @@ class Renderer
                             ++this.i;
                         return;
                     default:
-                        if(this.cooldown > 0)
+                        if(this.cooldown > 0 && this.polygonMode <= 0)
                         {
                             --this.cooldown;
                             return;

From 971a6f98358f647617261857765a5753985ba421 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 23:01:39 +0700
Subject: [PATCH 24/94] First implementation of detached models

---
 TODO.md     |  26 +++++---
 renderer.js | 183 ++++++++++++++++++++++++++++++++++++++++++++++------
 2 files changed, 181 insertions(+), 28 deletions(-)

diff --git a/TODO.md b/TODO.md
index dd7e817..904a0aa 100644
--- a/TODO.md
+++ b/TODO.md
@@ -1,13 +1,14 @@
 # LSR: To-do List
 
 - [LSR: To-do List](#lsr-to-do-list)
+  - [Other considerations](#other-considerations)
   - [1.0, Mistletoe ed.](#10-mistletoe-ed)
   - [1.0: Completed](#10-completed)
   - [0.21: Completed](#021-completed)
   - [0.20: Completed](#020-completed)
   - [Impossible or Scrapped](#impossible-or-scrapped)
 
-## 1.0, Mistletoe ed.
+## Other considerations
 
 - [ ] Arrange coding streams
   - Ask if people would be interested
@@ -24,7 +25,11 @@
 - [ ] Compress internal state? LZW, LZP
 - [ ] Ask Gilles about changing the spline used in 3D graph
 - [ ] How about locking rotation? (for Navier Stokes)
+
+## 1.0, Mistletoe ed.
+
 - [ ] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
+
 - [ ] Revamp sequence menu
   - Level 0: 10 chars (`View`)
   - Classic LS: displays the entire string in a label
@@ -34,16 +39,14 @@
   - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
   - [ ] Button to change mode between degrees and radians
 
-- [ ] Investigate Houdini stochastic syntax for weighted derivations
-`[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
-  - Can multiple derivations on the same rule still be made? Ruins parity
-  - [x] Allow both modes to exist (ONLY in Classic)
-
 - [ ] Investigate tropism (capital T)
+  - [ ] Separate starting quaternions for upright and sideways
+    - Stop swizzling!
+    - Tropism is still the same direction, so we can simulate sideways vines
 - [ ] Investigate sunlight heading (heliotropism) (`$`)
 
 - [x] Issue: models are broken because of backtrack rework
-- [ ] Change how models work:
+- [x] Change how models work:
   - Stochastic models are no longer available
     - Instead define stochastic rules for the actual symbol instead, pre-model 
   - Models are no longer recursively derived
@@ -55,7 +58,8 @@
     - Easy, just add the model map's keys to the set
     - Update the manual
   - Backtrack models?
-- [ ] Counter argument:
+- [ ] Update guide about models
+- Counter argument:
   - Permanence can be solved by cutting with `%`, albeit with a 1 tick cost for
   renderer hesitation (or 2)
     - Solution: Renderer only pushes on `[` if the position / ori has changed
@@ -69,6 +73,10 @@
     - [x] Update the manual
   - Lemma's Garden: Complex models such as flowers will bog down the growth cost
 
+- [ ] Investigate Houdini stochastic syntax for weighted derivations
+`[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
+  - Stochastic in PLSR: has to be on the same line
+
 - [ ] Parametric systems
   - Different classes
     - Button in LS menu / save menu to switch modes?
@@ -120,6 +128,8 @@
 
 ## 1.0: Completed
 
+- Can multiple derivations on the same rule still be made? Ruins parity
+  - [x] Allow both modes to exist (ONLY in Classic)
 - [x] Implement new RNG (Xorshift) instead of th fucjuing Lcg
 - [x] Screen adaptive button sizes (40, 44, 48) plus other stuff maybe
 - [x] Rework quickdraw / BT logic (**good enough!**)
diff --git a/renderer.js b/renderer.js
index 83a1f01..2d212da 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1272,7 +1272,7 @@ class LSystem
          * @type {string} the starting sequence.
          * @public
          */
-        this.axiom = this.getRecursiveModels(axiom).result;
+        this.axiom = axiom;
         /**
          * @type {number} the turning angle (in degrees).
          * @public
@@ -1300,7 +1300,7 @@ class LSystem
     }
     rerollAxiom()
     {
-        this.axiom = this.getRecursiveModels(this.userInput.axiom).result;
+        this.axiom = this.userInput.axiom;
     }
     getRecursiveModels(sequence)
     {
@@ -1353,10 +1353,9 @@ class LSystem
     derive(sequence, start = 0)
     {
         let result = '';
-        let count = 0;
         for(let i = start; i < sequence.length; ++i)
         {
-            if(result.length + count > maxCharsPerTick)
+            if(result.length > maxCharsPerTick)
             {
                 return {
                     next: i,
@@ -1386,19 +1385,10 @@ class LSystem
                 else
                     continue;
             }
-            else if(sequence[i] == '~' && this.models.has(sequence[i + 1]))
-            {
-                let r = this.getRecursiveModels(
-                this.models.get(sequence[i + 1]));
-                deriv = r.result;
-                count += r.count - r.result.length;
-            }
+            else if(sequence[i] == '~')
+                continue;
             else if(this.rules.has(sequence[i]))
-            {
-                let r = this.getRecursiveModels(this.rules.get(sequence[i]));
-                deriv = r.result;
-                count += r.count - r.result.length;
-            }
+                deriv = this.rules.get(sequence[i]);
             else
                 deriv = sequence[i];
 
@@ -1696,6 +1686,8 @@ class Renderer
         this.stack = [];
         this.idxStack = [];
         this.i = 0;
+        this.models = [];
+        this.mdi = [];
         this.cooldown = 0;
         this.polygonMode = 0;
         if(clearGraph)
@@ -1892,7 +1884,8 @@ class Renderer
         from hesitating for 1 tick every loop.
         */
         let j, t, moved;
-        for(j = 0; j < 2; ++j)
+        let loopLimit = 2;  // Shenanigans may arise with models? Try this
+        for(j = 0; j < loopLimit; ++j)
         {
             // log(`${Math.round(this.elapsed)}, ${this.i} ` +
             // `${this.levels[this.lv][this.i]} (-${this.cooldown}): ` +
@@ -1903,19 +1896,163 @@ class Renderer
                 return;
             }
 
-            if(this.models.length)
+            if(this.models.length > 0)
             {
+                // log(this.models.toString());
+                // log(this.mdi.toString());
+                // Unreadable pile of shit
                 for(; this.mdi[this.mdi.length - 1] <
                 this.models[this.models.length - 1].length;
                 ++this.mdi[this.mdi.length - 1])
                 {
-                    // Process it like the regular switch
-                    continue;
+                    switch(this.models[this.models.length - 1][this.mdi[this.mdi.length - 1]])
+                    {
+                        case ' ':
+                            log('Blank space detected.')
+                            break;
+                        case '+':
+                            this.ori = this.system.rotations.get('+').mul(this.ori);
+                            break;
+                        case '-':
+                            this.ori = this.system.rotations.get('-').mul(this.ori);
+                            break;
+                        case '&':
+                            this.ori = this.system.rotations.get('&').mul(this.ori);
+                            break;
+                        case '^':
+                            this.ori = this.system.rotations.get('^').mul(this.ori);
+                            break;
+                        case '\\':
+                            this.ori = this.system.rotations.get('\\').mul(
+                            this.ori);
+                            break;
+                        case '/':
+                            this.ori = this.system.rotations.get('/').mul(this.ori);
+                            break;
+                        case '|':
+                            this.ori = ZAxisQuat.mul(this.ori);
+                            break;
+                        case '~':
+                            ++this.mdi[this.mdi.length - 1];
+                            this.models.push(this.system.models.get(this.models[this.models.length - 1][this.mdi[this.mdi.length - 1]]));
+                            this.mdi.push(0);
+                            return;
+                        case '[':
+                            this.idxStack.push(this.stack.length);
+                            this.stack.push([this.state, this.ori]);
+                            break;
+                        case ']':
+                            if(this.cooldown > 0 && this.polygonMode <= 0)
+                            {
+                                --this.cooldown;
+                                return;
+                            }
+
+                            if(this.stack.length == 0)
+                            {
+                                log('You\'ve clearly made a bracket error.');
+                                break;
+                            }
+
+                            moved = this.state !==
+                            this.stack[this.stack.length - 1][0];
+
+                            t = this.stack.pop();
+                            this.state = t[0];
+                            this.ori = t[1];
+                            if(this.stack.length ==
+                            this.idxStack[this.idxStack.length - 1])
+                            {
+                                this.idxStack.pop();
+                                if(moved)
+                                    this.cooldown = 1;
+                                if(this.hesitateNode && this.polygonMode <= 0)
+                                {
+                                    ++this.mdi[this.mdi.length - 1];
+                                    return;
+                                }
+                                else
+                                {
+                                    break;
+                                }
+                            }
+                            if(this.polygonMode <= 0)
+                                return;
+                            else
+                            {
+                                --this.mdi[this.mdi.length - 1];
+                                break;
+                            }
+                        case '%':
+                            // Nothing to do here, all handled by LSystem derivation
+                            break;
+                        case '{':        
+                            ++this.polygonMode;
+                            break;
+                        case '}':
+                            --this.polygonMode;
+                            break;
+                        case '.':
+                            if(this.polygonMode <= 0)
+                                log('You\'re cannot register a vertex outside of ' +
+                                'polygon drawing.');
+                            else
+                                ++this.mdi[this.mdi.length - 1];
+                            return;
+                        default:
+                            if(this.cooldown > 0 && this.polygonMode <= 0)
+                            {
+                                --this.cooldown;
+                                return;
+                            }
+
+                            let ignored = this.system.ignoreList.has(
+                                this.models[this.models.length - 1][this.mdi[this.mdi.length - 1]]);
+                            let breakAhead = this.backtrackList.has(
+                                this.models[this.models.length - 1][this.mdi[this.mdi.length - 1] + 1]);
+                            let btAhead = this.models[this.models.length - 1][this.mdi[this.mdi.length - 1] + 1] == ']' ||
+                            this.mdi[this.mdi.length - 1] == this.models[this.models.length - 1].length - 1;
+
+                            if(this.hesitateApex && btAhead)
+                                this.cooldown = 1;
+
+                            if(this.quickDraw && breakAhead)
+                                this.cooldown = 1;
+
+                            moved = this.stack.length == 0 ||
+                            (this.stack.length > 0 && this.state !==
+                            this.stack[this.stack.length - 1][0]);
+
+                            if(!this.quickBacktrack && moved && !ignored)
+                                this.stack.push([this.state, this.ori]);
+
+                            if(!ignored)
+                                this.forward();
+
+                            if(this.quickBacktrack && breakAhead)
+                                this.stack.push([this.state, this.ori]);
+                            
+                            if(this.quickDraw && !btAhead)
+                                break;
+                            else if(this.polygonMode <= 0)
+                            {
+                                ++this.mdi[this.mdi.length - 1];
+                                return;
+                            }
+                            else
+                                break;
+                    }
                 }
+                this.models.pop();
+                this.mdi.pop();
+                ++loopLimit;
+                // continue prevents the regular loop from running
                 continue;
             }
             for(; this.i < this.levels[this.lv].length; ++this.i)
             {
+                // if(this.models.length > 0)
+                //     break;
                 switch(this.levels[this.lv][this.i])
                 {
                     case ' ':
@@ -1943,6 +2080,12 @@ class Renderer
                     case '|':
                         this.ori = ZAxisQuat.mul(this.ori);
                         break;
+                    case '~':
+                        ++this.i;
+                        this.models.push(this.system.models.get(
+                        this.levels[this.lv][this.i]));
+                        this.mdi.push(0);
+                        return;
                     case '[':
                         this.idxStack.push(this.stack.length);
                         this.stack.push([this.state, this.ori]);

From acb67d5e466f1caa524dc017b1f3edd0312fb3f3 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 13 Feb 2023 23:29:41 +0700
Subject: [PATCH 25/94] Cleaned long lines and comments

---
 renderer.js | 57 ++++++++++++++++++++++++++---------------------------
 1 file changed, 28 insertions(+), 29 deletions(-)

diff --git a/renderer.js b/renderer.js
index 2d212da..9363c57 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1905,36 +1905,44 @@ class Renderer
                 this.models[this.models.length - 1].length;
                 ++this.mdi[this.mdi.length - 1])
                 {
-                    switch(this.models[this.models.length - 1][this.mdi[this.mdi.length - 1]])
+                    switch(this.models[this.models.length - 1][
+                    this.mdi[this.mdi.length - 1]])
                     {
                         case ' ':
                             log('Blank space detected.')
                             break;
                         case '+':
-                            this.ori = this.system.rotations.get('+').mul(this.ori);
+                            this.ori = this.system.rotations.get('+').mul(
+                            this.ori);
                             break;
                         case '-':
-                            this.ori = this.system.rotations.get('-').mul(this.ori);
+                            this.ori = this.system.rotations.get('-').mul(
+                            this.ori);
                             break;
                         case '&':
-                            this.ori = this.system.rotations.get('&').mul(this.ori);
+                            this.ori = this.system.rotations.get('&').mul(
+                            this.ori);
                             break;
                         case '^':
-                            this.ori = this.system.rotations.get('^').mul(this.ori);
+                            this.ori = this.system.rotations.get('^').mul(
+                            this.ori);
                             break;
                         case '\\':
                             this.ori = this.system.rotations.get('\\').mul(
                             this.ori);
                             break;
                         case '/':
-                            this.ori = this.system.rotations.get('/').mul(this.ori);
+                            this.ori = this.system.rotations.get('/').mul(
+                            this.ori);
                             break;
                         case '|':
                             this.ori = ZAxisQuat.mul(this.ori);
                             break;
                         case '~':
                             ++this.mdi[this.mdi.length - 1];
-                            this.models.push(this.system.models.get(this.models[this.models.length - 1][this.mdi[this.mdi.length - 1]]));
+                            this.models.push(this.system.models.get(
+                            this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]]));
                             this.mdi.push(0);
                             return;
                         case '[':
@@ -1984,7 +1992,7 @@ class Renderer
                                 break;
                             }
                         case '%':
-                            // Nothing to do here, all handled by LSystem derivation
+                            // Nothing to do here
                             break;
                         case '{':        
                             ++this.polygonMode;
@@ -1994,7 +2002,7 @@ class Renderer
                             break;
                         case '.':
                             if(this.polygonMode <= 0)
-                                log('You\'re cannot register a vertex outside of ' +
+                                log('You cannot register a vertex outside of ' +
                                 'polygon drawing.');
                             else
                                 ++this.mdi[this.mdi.length - 1];
@@ -2007,11 +2015,15 @@ class Renderer
                             }
 
                             let ignored = this.system.ignoreList.has(
-                                this.models[this.models.length - 1][this.mdi[this.mdi.length - 1]]);
+                            this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]]);
                             let breakAhead = this.backtrackList.has(
-                                this.models[this.models.length - 1][this.mdi[this.mdi.length - 1] + 1]);
-                            let btAhead = this.models[this.models.length - 1][this.mdi[this.mdi.length - 1] + 1] == ']' ||
-                            this.mdi[this.mdi.length - 1] == this.models[this.models.length - 1].length - 1;
+                            this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1] + 1]);
+                            let btAhead = this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1] + 1] == ']' ||
+                            this.mdi[this.mdi.length - 1] ==
+                            this.models[this.models.length - 1].length - 1;
 
                             if(this.hesitateApex && btAhead)
                                 this.cooldown = 1;
@@ -2143,7 +2155,7 @@ class Renderer
                         break;
                     case '.':
                         if(this.polygonMode <= 0)
-                            log('You\'re cannot register a vertex outside of ' +
+                            log('You cannot register a vertex outside of ' +
                             'polygon drawing.');
                         else
                             ++this.i;
@@ -2168,14 +2180,6 @@ class Renderer
                         if(this.quickDraw && breakAhead)
                             this.cooldown = 1;
 
-                        // if(ignored)
-                        // {
-                        //     if(this.quickDraw && this.stack.length > 0 &&
-                        //     this.ori === this.stack[this.stack.length - 1][1])
-                        //         this.stack.push([this.state, this.ori]);
-                        //     break;
-                        // }
-
                         moved = this.stack.length == 0 ||
                         (this.stack.length > 0 && this.state !==
                         this.stack[this.stack.length - 1][0]);
@@ -2198,13 +2202,6 @@ class Renderer
                         }
                         else
                             break;
-
-                        // if(this.quickDraw && !breakAhead &&
-                        // (this.quickBacktrack || this.stack.length > 0 &&
-                        // this.ori === this.stack[this.stack.length - 1][1]) &&
-                        // this.i < this.levels[this.lv].length - 1)
-                        //     break;
-                        
                 }
             }
             if(!this.backtrackTail || this.stack.length == 0)
@@ -2696,6 +2693,8 @@ class Measurer
 }
 
 const XAxisQuat = new Quaternion(0, 1, 0, 0);
+const UprightQuat = new Quaternion(Math.cos(Math.PI / 4), 0, 0,
+-Math.sin(Math.PI / 4)).mul(XAxisQuat);
 const ZAxisQuat = new Quaternion(0, 0, 0, 1);
 
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);

From 3b7a096c57aaf8e604dd9e6e76429e87442f368d Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 14 Feb 2023 00:55:21 +0700
Subject: [PATCH 26/94] Changed fundamentally how upright works

---
 TODO.md     |  4 ++--
 renderer.js | 63 +++++++++++++++++++++++++++++------------------------
 2 files changed, 36 insertions(+), 31 deletions(-)

diff --git a/TODO.md b/TODO.md
index 904a0aa..4d5510a 100644
--- a/TODO.md
+++ b/TODO.md
@@ -40,7 +40,7 @@
   - [ ] Button to change mode between degrees and radians
 
 - [ ] Investigate tropism (capital T)
-  - [ ] Separate starting quaternions for upright and sideways
+  - [x] Separate starting quaternions for upright and sideways
     - Stop swizzling!
     - Tropism is still the same direction, so we can simulate sideways vines
 - [ ] Investigate sunlight heading (heliotropism) (`$`)
@@ -58,7 +58,7 @@
     - Easy, just add the model map's keys to the set
     - Update the manual
   - Backtrack models?
-- [ ] Update guide about models
+- [x] Update guide about models
 - Counter argument:
   - Permanence can be solved by cutting with `%`, albeit with a 1 tick cost for
   renderer hesitation (or 2)
diff --git a/renderer.js b/renderer.js
index 9363c57..9bd8f01 100644
--- a/renderer.js
+++ b/renderer.js
@@ -219,7 +219,7 @@ const locStrings =
         labelFollowFactor: 'Follow factor (0-1): ',
         labelLoopMode: 'Looping mode: {0}',
         loopModes: ['Off', 'Level', 'Playlist'],
-        labelUpright: '* Upright x-axis: ',
+        labelUpright: '* Upright figure: ',
         labelBTTail: 'Draw tail end: ',
         labelLoadModels: '* (Teaser) Load models: ',
         labelQuickdraw: '* Quickdraw (unstable): ',
@@ -496,7 +496,7 @@ Turning angle: 30°
 
 Applies static camera:
 Scale: 1.5*2^lv
-Centre: (1.2*2^lv, 0, 0)
+Centre: (0, 1.2*2^lv, 0)
 Upright`
             },
             {
@@ -533,7 +533,7 @@ Turning angle: 22.5°
 
 Applies static camera:
 Scale: 1.5*2^lv
-Centre: (1.2*2^lv, 0, 0)
+Centre: (0, 1.2*2^lv, 0)
 Upright`
             },
             {
@@ -589,7 +589,7 @@ Turning angle: 8°
 
 Applies static camera:
 Scale: 2*2^lv
-Centre: (1.2*2^lv, 0, 0)
+Centre: (0, 1.2*2^lv, 0)
 Upright`,
                 source: 'https://www.bioquest.org/products/files/13157_Real-time%203D%20Plant%20Structure%20Modeling%20by%20L-System.pdf'
             },
@@ -622,7 +622,7 @@ Turning angle: 4°
 
 Applies static camera: (mathematically unproven)
 Scale: 3*1.3^lv
-Centre: (1.8*1.3^lv, 0, 0)
+Centre: (0, 1.8*1.3^lv, 0)
 Upright`,
                 source: 'http://jobtalle.com/lindenmayer_systems.html'
             },
@@ -659,7 +659,7 @@ Turning angle: 27°
 
 Applies static camera:
 Scale: lv
-Centre: (lv/2-1, 0, 0)
+Centre: (0, lv/2-1, 0)
 Upright`
             },
             {
@@ -676,25 +676,30 @@ To declare a model rule, attach a tilde in front of the symbol on the left side:
 To reference a model in another rule, attach a tilde in front of the symbol ` +
 `in the same way it was declared.
 Note: The symbol will not disappear from the rule after the model has been ` +
-`drawn, but it will be ignored by the turtle.`
+`drawn, but it will be ignored by the turtle.
+Note 2: The model only lasts for one level, and needs to be refreshed ` + 
+`(example follows in the next page).`
             },
             {
                 title: 'Example: Lilac branch',
                 contents:
 `Ripped straight off of page 92 of The Algorithmic Beauty of Plants. But I ` +
 `made the model myself.
+K represents the flower, and its model is refreshed every level with the ` +
+`rule K = ~K.
 
 Axiom: A~K
 A = [--//~K][++//~K]I///A
 I = Fi
 i = Fj
 j = J[--FFA][++FFA]
+K = ~K
 ~K = F[+++[--F+F]^^^[--F+F]^^^[--F+F]^^^[--F+F]]
 Turning angle: 30°
 
 Applies static camera:
 Scale: 3*lv
-Centre: (1.5*lv, 0, 0)
+Centre: (0, 1.5*lv, 0)
 Upright`
             },
             {
@@ -820,7 +825,7 @@ Turning angle: 15°
 
 Applies static camera:
 Scale: 2^lv
-Centre: (2^lv, 0, 0)
+Centre: (0, 2^lv, 0)
 Upright`
             },
             {
@@ -854,7 +859,7 @@ Turning angle: 22.5°
 
 Applies static camera: (mathematically unproven)
 Scale: 3^lv
-Centre: (0.75*3^lv, -0.25*3^lv, 0)
+Centre: (0.25*3^lv, 0.75*3^lv, 0)
 Upright`
             },
             {
@@ -1557,7 +1562,7 @@ class Renderer
          * @type {Quaternion} the cursor's orientation.
          * @public stay away from me.
          */
-        this.ori = new Quaternion();
+        this.ori = this.upright ? uprightQuat : new Quaternion();
         /**
          * @type {string[]} stores the system's every level.
          * @public don't touch me.
@@ -1682,7 +1687,7 @@ class Renderer
     reset(clearGraph = true)
     {
         this.state = new Vector3(0, 0, 0);
-        this.ori = new Quaternion();
+        this.ori = this.upright ? uprightQuat : new Quaternion();
         this.stack = [];
         this.idxStack = [];
         this.i = 0;
@@ -2237,8 +2242,8 @@ class Renderer
     swizzle(coords)
     {
         // The game uses left-handed Y-up, I mean Y-down coordinates.
-        if(this.upright)
-            return new Vector3(-coords.y, -coords.x, coords.z);
+        // if(this.upright)
+        //     return new Vector3(-coords.y, -coords.x, coords.z);
 
         return new Vector3(coords.x, -coords.y, coords.z);
     }
@@ -2692,9 +2697,8 @@ class Measurer
     }
 }
 
+const uprightQuat = new Quaternion(Math.sqrt(2)/2, 0, 0, -Math.sqrt(2)/2);
 const XAxisQuat = new Quaternion(0, 1, 0, 0);
-const UprightQuat = new Quaternion(Math.cos(Math.PI / 4), 0, 0,
--Math.sin(Math.PI / 4)).mul(XAxisQuat);
 const ZAxisQuat = new Quaternion(0, 0, 0, 1);
 
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
@@ -2703,11 +2707,6 @@ let globalRNG = new Xorshift(Date.now());
 let contentsTable = [1, 2, 3, 4, 5, 6, 7, 10, 12, 15, 19, 21, 23, 24, 27];
 let manualSystems =
 {
-    11:
-    {
-        system: arrow,
-        config: ['1.5*2^lv', '1.2*2^lv', 0, 0, true]
-    },
     8:
     {
         system: new LSystem('FX', ['Y=-FX-Y', 'X=X+YF+'], 90),
@@ -2718,13 +2717,18 @@ let manualSystems =
         system: new LSystem('X', ['X=+Y-X-Y+', 'Y=-X+Y+X-'], 60),
         config: ['2^lv', '0.5*2^lv', 'sqrt(3)/4*2^lv', 0, false]
     },
+    11:
+    {
+        system: arrow,
+        config: ['1.5*2^lv', 0, '1.2*2^lv', 0, true]
+    },
     13:
     {
         system: new LSystem('X', [
             'F=FF',
             'X=F-[[X]+X]+F[+FX]-X,F+[[X]-X]-F[-FX]+X'
         ], 22.5),
-        config: ['1.5*2^lv', '1.2*2^lv', 0, 0, true]
+        config: ['1.5*2^lv', 0, '1.2*2^lv', 0, true]
     },
     luckyFlower:
     {
@@ -2735,7 +2739,7 @@ let manualSystems =
             'R=+++I,++I,++++I',
             'F=[---[I+I]--I+I][+++[I-I]++I-I]II'
         ], 12),
-        config: [6, 6, 0, 0, true]
+        config: [6, 0, 6, 0, true]
     },
     14:
     {
@@ -2757,7 +2761,7 @@ let manualSystems =
             'Y=Z-ZY+',
             'Z=ZZ'
         ], 8),
-        config: ['2*2^lv', '1.2*2^lv', 0, 0, true]
+        config: ['2*2^lv', 0, '1.2*2^lv', 0, true]
     },
     17:
     {
@@ -2774,7 +2778,7 @@ let manualSystems =
             'C=[---------FF][+++++++++FF]B&&+C',
             'D=[---------FF][+++++++++FF]B&&-D'
         ], 4),
-        config: ['3*1.3^lv', '1.8*1.3^lv', 0, 0, true]
+        config: ['3*1.3^lv', 0, '1.8*1.3^lv', 0, true]
     },
     20:
     {
@@ -2783,7 +2787,7 @@ let manualSystems =
             'B=[-B]C.',
             'C=GC'
         ], 27),
-        config: ['lv', 'lv/2-1', 0, 0, true]
+        config: ['lv', 0, 'lv/2-1', 0, true]
     },
     22:
     {
@@ -2792,14 +2796,15 @@ let manualSystems =
             'I=Fi',
             'i=Fj',
             'j=J[--FFA][++FFA]',
+            'K=~K',
             '~K=F[+++[--F+F]^^^[--F+F]^^^[--F+F]^^^[--F+F]]'
         ], 30),
-        config: ['3*lv', '1.5*lv', 0, 0, true]
+        config: ['3*lv', 0, '1.5*lv', 0, true]
     },
     28:
     {
         system: new LSystem('X', ['F=FF', 'X=F-[[X]+X]+F[-X]-X'], 15),
-        config: ['2^lv', '2^lv', 0, 0, true]
+        config: ['2^lv', 0, '2^lv', 0, true]
     },
     29:
     {
@@ -2813,7 +2818,7 @@ let manualSystems =
             'F=FX+[E]X',
             'X=F-[X+[X[++E]F]]+F[X+FX]-X'
         ], 22.5),
-        config: ['3^lv', '0.75*3^lv', '-0.25*3^lv', 0, true]
+        config: ['3^lv', '0.25*3^lv', '0.75*3^lv', 0, true]
     }
 };
 let tmpSystem = null;

From 04a26b1290be86aa7d97e8a640b05fedc69eb3f8 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 14 Feb 2023 01:08:50 +0700
Subject: [PATCH 27/94] Updated guide with new changes

---
 renderer.js | 36 +++++++++++++++++-------------------
 1 file changed, 17 insertions(+), 19 deletions(-)

diff --git a/renderer.js b/renderer.js
index 9bd8f01..951c65e 100644
--- a/renderer.js
+++ b/renderer.js
@@ -289,8 +289,7 @@ Tickspeed: controls the renderer's drawing speed (up to 10 lines/sec, which ` +
 `pausing the renderer. Holding + afterwards will return the renderer to the ` +
 `previously anchored speed.
 
-Reroll: located on the top right. Pressing this button will reroll the ` +
-`system's seed (only applicable for stochastic systems).
+Reset: located on the top right. Pressing this button will reset the renderer.
 
 Menu buttons: You pressed on one of them to get here, did you?
 - L-system menu: allows you to edit the currently displayed system.
@@ -304,11 +303,11 @@ Menu buttons: You pressed on one of them to get here, did you?
 `Design your L-system using the L-systems menu.
 
 - Axiom: the system's starting sequence.
-- Turning angle: the angle the turtle turns when the turtle turns (in degrees).
+- Turning angle: the angle the turtle turns when turns the turtle (in degrees).
 - Production rules: an unlimited number of rules can be added using the ` +
 `'Add' button.
 - Ignored symbols: the turtle will stand still when encountering these symbols.
-- Seed: sets the seed of a stochastic system.
+- Seed: the seed for a stochastic system can be rerolled or manually set.
 
 Note: Any blank rules will be trimmed afterwards.`
             },
@@ -324,10 +323,10 @@ Camera options:
 - Camera mode: toggles between Fixed, Linear and Quadratic. The latter two ` +
 `modes follow the turtle.
 - Fixed camera centre: determines camera position in Fixed mode using a ` +
-`formula, similar to figure scale.
+`written formula similar to figure scale.
 - Follow factor: changes how quickly the camera follows the turtle.
-- Upright x-axis: rotates figure by 90 degrees counter-clockwise around the ` +
-`z-axis.
+- Upright figure: rotates the figure by 90 degrees counter-clockwise around ` +
+`the z-axis so that it heads upwards.
 
 Renderer logic:
 - Looping mode: the Level mode repeats a single level, while the Playlist ` +
@@ -338,9 +337,8 @@ Renderer logic:
 Advanced stroke options:
 - Quickdraw (unstable): skips over straight consecutive segments.
 - Quick backtrack: works similarly, but on the way back.
-- Stutter on backtrack: pause for one tick after backtracking for more ` +
-`accurate figures.
-- Backtrack list: sets stopping symbols for backtracking.`
+- Stutter at apex: pause for one tick at the tips of lines.
+- Stutter at node: pause for one tick after backtracking through branches.`
             },
             {
                 title: 'Saving and loading',
@@ -640,8 +638,9 @@ Upright`,
 
 Normal commands inside a polygon block will not draw lines, making it great ` +
 `for hiding away any scaffolding in the creation of models.
-Note: Due to how the rendering engine works, the polygon tool in LSR works ` +
-`a bit differently from that described in The Algorithmic Beauty of Plants. ` +
+
+Note: Due to how Exponential Idle's 3D graph works, the polygon tool in LSR ` +
+`works differently from that described in The Algorithmic Beauty of Plants. ` +
 `Therefore, it is advised to make some adjustments when adopting schemes ` +
 `from the book into LSR.`
             },
@@ -675,8 +674,10 @@ To declare a model rule, attach a tilde in front of the symbol on the left side:
 
 To reference a model in another rule, attach a tilde in front of the symbol ` +
 `in the same way it was declared.
+
 Note: The symbol will not disappear from the rule after the model has been ` +
 `drawn, but it will be ignored by the turtle.
+
 Note 2: The model only lasts for one level, and needs to be refreshed ` + 
 `(example follows in the next page).`
             },
@@ -751,7 +752,7 @@ Now, while tickspeed might be more of a familiar concept to the idle ` +
 `between corners occasionally, mimicking leaf shapes on a tree.
 - 0.5 sec: with slight occasional overshoots, tick length 0.5 proves itself ` +
 `of use when it comes to bringing that rough sketch feeling to a figure.
-- 0.6 sec and above: don't care, class dismissed.`
+- 0.6 sec and above: I don't care, class dismissed.`
             },
             {
                 title: 'Advanced artistry in LSR (2)',
@@ -767,14 +768,11 @@ Now, open your renderer menu textbook to the last section. There are about 4 ` +
 `comes to both precision and aesthetics.
 - Quick backtrack: this one's a reliable one, trading only a little beauty ` +
 `for some extra speed.
-- Stutter on backtrack: now, this is what I mean when I say hesitation is ` +
+- Stutter at apex/node: now, this is what I mean when I say hesitation is ` +
 `not defeat. Pausing for even just one tick can give your figure just enough ` +
 `cohesion it really needs. To prove this, try loading the Arrow weed then ` +
-`alternate between drawing with this option on and off, while on tick length ` +
-`0.1, or 10 tickspeed. There will be a noticeable difference, even from afar.
-- Backtrack list: usually, I would say that if you are here to draw ` +
-`L-systems, I recommend not to edit this option, but for the brave and ` +
-`worthy, you could create truly mesmerising results with this.
+`alternate between drawing with these option on and off, at 0.1 tick length, ` +
+`or 10 tickspeed. There will be a noticeable difference, even from afar.
 
 Class dismissed, and stay tuned for next week's lecture, on the Art of Looping!`
             },

From cccb3c12c60051dc00971f30693f677e86ce5c99 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 14 Feb 2023 02:08:45 +0700
Subject: [PATCH 28/94] Revamped sequence menu

---
 TODO.md     | 85 +++++++++++++++++++---------------------------
 renderer.js | 98 +++++++++++++++++++++++++++++++----------------------
 2 files changed, 92 insertions(+), 91 deletions(-)

diff --git a/TODO.md b/TODO.md
index 4d5510a..513884d 100644
--- a/TODO.md
+++ b/TODO.md
@@ -12,10 +12,6 @@
 
 - [ ] Arrange coding streams
   - Ask if people would be interested
-- [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
-
-- [ ] Add more comments in the code
-- [ ] Update docstrings
 - [ ] A more detailed README
   - Showcases the power of tickspeed and stroke options
   - Discusses limitations of the game
@@ -28,11 +24,15 @@
 
 ## 1.0, Mistletoe ed.
 
+- [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
+- [ ] Add more comments in the code
+- [ ] Update docstrings
+
 - [ ] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
 
 - [ ] Revamp sequence menu
   - Level 0: 10 chars (`View`)
-  - Classic LS: displays the entire string in a label
+  - [x] Classic LS: displays the entire string in a label
   - Parametric LS: displays symbols and parameters side by side, one symbol/row
 
 - [ ] Turning angles
@@ -45,34 +45,6 @@
     - Tropism is still the same direction, so we can simulate sideways vines
 - [ ] Investigate sunlight heading (heliotropism) (`$`)
 
-- [x] Issue: models are broken because of backtrack rework
-- [x] Change how models work:
-  - Stochastic models are no longer available
-    - Instead define stochastic rules for the actual symbol instead, pre-model 
-  - Models are no longer recursively derived
-    - This will remove their permanence and increase performance
-  - Instead, they will be processed by the renderer using a queue
-    - The processing code will be positioned below (?) the main renderer loop
-    - Almost the exact same code as main loop, but with `~` queue controls
-  - Having a model also means that symbol should be ignored (no extra F)
-    - Easy, just add the model map's keys to the set
-    - Update the manual
-  - Backtrack models?
-- [x] Update guide about models
-- Counter argument:
-  - Permanence can be solved by cutting with `%`, albeit with a 1 tick cost for
-  renderer hesitation (or 2)
-    - Solution: Renderer only pushes on `[` if the position / ori has changed
-    - This makes more sense thematically, as cut wounds will leave scars
-      - Lemma's Garden: this will slightly slow down growth
-  - If models were to be processed by renderer, then they cannot evolve
-    - On the other hand, they can 'evolve' in another sense where each parameter
-    value can have a different model
-  - [x] Having a model also means that symbol should be ignored (no extra F)
-    - Easy, just add the model map's keys to the set
-    - [x] Update the manual
-  - Lemma's Garden: Complex models such as flowers will bog down the growth cost
-
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Stochastic in PLSR: has to be on the same line
@@ -108,26 +80,24 @@
     - Ancestor means the index of whomever the fuck is on top of the idx stack.
     - Does this work with the dynamic loading system with all the data passing?
   - If stored by maps: Keys can be any data type.
-  - If stored by objects:
-  ```js
-  // v2
-  let contextRulesLR =
-  {
-    'ABC': 'D', // Two ways: A<B>C = D
-    'FBG': 'H'  // F<B>G = H
-  };
-  let contextRulesL =
-  {
-    'AB': 'E'   // One way: A<B = E
-  };
-  let contextRulesR =
-  {
-    'BA': 'E'   // One way: B>A = E
-  };
-  ```
+  - If stored by objects: written in `parametric_lsystem.js`
 
 ## 1.0: Completed
 
+- [x] Issue: models are broken because of backtrack rework
+- [x] Change how models work:
+  - Stochastic models are no longer available
+    - Instead define stochastic rules for the actual symbol instead, pre-model 
+  - Models are no longer recursively derived
+    - This will remove their permanence and increase performance
+  - Instead, they will be processed by the renderer using a queue
+    - The processing code will be positioned below (?) the main renderer loop
+    - Almost the exact same code as main loop, but with `~` queue controls
+  - Having a model also means that symbol should be ignored (no extra F)
+    - Easy, just add the model map's keys to the set
+    - Update the manual
+  - Backtrack models?
+- [x] Update guide about models
 - Can multiple derivations on the same rule still be made? Ruins parity
   - [x] Allow both modes to exist (ONLY in Classic)
 - [x] Implement new RNG (Xorshift) instead of th fucjuing Lcg
@@ -261,4 +231,17 @@ needs to store two boolean properties `isContextSensitive` and `isParametric`.
     - How are they referenced in systems? As a list of names? An ID that is the
     index of an array?
   - Model storage
-    - How to load? How to edit?
\ No newline at end of file
+    - How to load? How to edit?
+- Counter argument to new model format:
+  - Permanence can be solved by cutting with `%`, albeit with a 1 tick cost for
+  renderer hesitation (or 2)
+    - Solution: Renderer only pushes on `[` if the position / ori has changed
+    - This makes more sense thematically, as cut wounds will leave scars
+      - Lemma's Garden: this will slightly slow down growth
+  - If models were to be processed by renderer, then they cannot evolve
+    - On the other hand, they can 'evolve' in another sense where each parameter
+    value can have a different model
+  - [x] Having a model also means that symbol should be ignored (no extra F)
+    - Easy, just add the model map's keys to the set
+    - [x] Update the manual
+  - Lemma's Garden: Complex models such as flowers will bog down the growth cost
diff --git a/renderer.js b/renderer.js
index 951c65e..10b6182 100644
--- a/renderer.js
+++ b/renderer.js
@@ -34,6 +34,7 @@ import { TouchType } from '../api/ui/properties/TouchType';
 import { Localization } from '../api/Localization';
 import { MathExpression } from '../api/MathExpression';
 import { ClearButtonVisibility } from '../api/ui/properties/ClearButtonVisibility';
+import { LineBreakMode } from '../api/ui/properties/LineBreakMode';
 
 var id = 'L_systems_renderer';
 var getName = (language) =>
@@ -198,8 +199,8 @@ const locStrings =
         rerollSeed: 'You are about to reroll the system\'s seed.',
         resetRenderer: 'You are about to reset the renderer.',
 
-        menuSequence: 'Sequence Menu',
-        labelLevelSeq: 'Level {0}: ',
+        menuSequence: '{0} (Level {1})',
+        labelLevelSeq: 'Level {0}: {1} chars',
         labelChars: '({0} chars)',
 
         menuLSystem: 'L-system Menu',
@@ -4973,6 +4974,46 @@ let createManualMenu = () =>
     return menu;
 }
 
+let createSeqViewMenu = (level) =>
+{
+    let pageContents = ui.createLabel
+    ({
+        fontFamily: FontFamily.CMU_REGULAR,
+        fontSize: 16,
+        text: renderer.levels[level],
+        lineBreakMode: LineBreakMode.CHARACTER_WRAP
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: Localization.format(getLoc('menuSequence'), tmpSystemName,
+        level),
+        isPeekable: true,
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createFrame
+                ({
+                    padding: new Thickness(8, 6),
+                    heightRequest: ui.screenHeight * 0.28,
+                    content: ui.createScrollView
+                    ({
+                        content: ui.createStackLayout
+                        ({
+                            children:
+                            [
+                                pageContents
+                            ]
+                        })
+                    })
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
 let createSequenceMenu = () =>
 {
     let tmpLvls = [];
@@ -4980,67 +5021,44 @@ let createSequenceMenu = () =>
     {
         tmpLvls.push(ui.createLatexLabel
         ({
-            text: Localization.format(getLoc('labelLevelSeq'), i),
+            text: Localization.format(getLoc('labelLevelSeq'), i,
+            renderer.levels[i].length),
             row: i,
             column: 0,
             verticalOptions: LayoutOptions.CENTER
         }));
-        tmpLvls.push(ui.createGrid
+        tmpLvls.push(ui.createButton
         ({
-            columnDefinitions: ['80*', 'auto'],
+            text: getLoc('btnView'),
             row: i,
             column: 1,
-            children:
-            [
-                ui.createEntry
-                ({
-                    text: renderer.levels[i],
-                    row: 0,
-                    column: 0
-                }),
-                ui.createLatexLabel
-                ({
-                    text: Localization.format(getLoc('labelChars'),
-                    renderer.levels[i].length),
-                    row: 0,
-                    column: 1,
-                    horizontalOptions: LayoutOptions.END_AND_EXPAND,
-                    verticalOptions: LayoutOptions.CENTER
-                })
-            ]
+            heightRequest: SMALL_BUTTON_HEIGHT,
+            onClicked: () =>
+            {
+                Sound.playClick();
+                let viewMenu = createSeqViewMenu(i);
+                viewMenu.show();
+            }
         }));
     }
     let seqGrid = ui.createGrid
     ({
-        columnDefinitions: ['20*', '80*'],
+        columnDefinitions: ['70*', '30*'],
         children: tmpLvls
     });
 
     let menu = ui.createPopup
     ({
-        title: getLoc('menuSequence'),
+        title: tmpSystemName,
         content: ui.createStackLayout
         ({
             children:
             [
                 ui.createScrollView
                 ({
-                    // heightRequest: ui.screenHeight * 0.3,
+                    heightRequest: () => Math.max(SMALL_BUTTON_HEIGHT,
+                    Math.min(ui.screenHeight * 0.36, seqGrid.height)),
                     content: seqGrid
-                }),
-                ui.createBox
-                ({
-                    heightRequest: 1,
-                    margin: new Thickness(0, 6)
-                }),
-                ui.createButton
-                ({
-                    text: getLoc('btnClose'),
-                    onClicked: () =>
-                    {
-                        Sound.playClick();
-                        menu.hide();
-                    }
                 })
             ]
         })

From a19db65fcad39a4b3d8e667ce062577a9c0d599e Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 14 Feb 2023 02:23:36 +0700
Subject: [PATCH 29/94] Added char count to sequence view

---
 renderer.js | 10 ++++++++++
 1 file changed, 10 insertions(+)

diff --git a/renderer.js b/renderer.js
index 10b6182..d83a4b6 100644
--- a/renderer.js
+++ b/renderer.js
@@ -4976,6 +4976,15 @@ let createManualMenu = () =>
 
 let createSeqViewMenu = (level) =>
 {
+    let pageTitle = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelChars'),
+        renderer.levels[level].length),
+        margin: new Thickness(0, 4),
+        heightRequest: 20,
+        horizontalOptions: LayoutOptions.CENTER,
+        verticalOptions: LayoutOptions.CENTER
+    });
     let pageContents = ui.createLabel
     ({
         fontFamily: FontFamily.CMU_REGULAR,
@@ -4993,6 +5002,7 @@ let createSeqViewMenu = (level) =>
         ({
             children:
             [
+                pageTitle,
                 ui.createFrame
                 ({
                     padding: new Thickness(8, 6),

From 7cd31f360f1e1e0be7087cc11721bca228b3d751 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 14 Feb 2023 13:16:37 +0700
Subject: [PATCH 30/94] Fixed renderer.tick() cutting off final tick

---
 TODO.md     | 2 +-
 renderer.js | 6 +++---
 2 files changed, 4 insertions(+), 4 deletions(-)

diff --git a/TODO.md b/TODO.md
index 513884d..d7b262a 100644
--- a/TODO.md
+++ b/TODO.md
@@ -28,7 +28,7 @@
 - [ ] Add more comments in the code
 - [ ] Update docstrings
 
-- [ ] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
+- [x] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
 
 - [ ] Revamp sequence menu
   - Level 0: 10 chars (`View`)
diff --git a/renderer.js b/renderer.js
index d83a4b6..58fd58e 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1880,7 +1880,7 @@ class Renderer
             return;
         
         // This is to prevent the renderer from skipping the first point.
-        if(this.elapsed == 0)
+        if(this.elapsed <= 0.101)
             return;
 
         /*
@@ -2952,15 +2952,15 @@ var tick = (elapsedTime, multiplier) =>
     }
     else
     {
-        renderer.draw(l.level, !timeCheck(elapsedTime));
         renderer.tick(elapsedTime);
+        renderer.draw(l.level, !timeCheck(elapsedTime));
     }
 
     if(measurePerformance)
         drawMeasurer.stamp();
 
     let msTime = renderer.elapsedTime;
-    min.value = msTime[0] + msTime[1] / 100;
+    min.value = 1e-8 + msTime[0] + msTime[1] / 100;
     progress.value = renderer.progressPercent;
     theory.invalidateTertiaryEquation();
 }

From 3ef3b6c71f1c8836b5910f9f929050e15a5b6a00 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 14 Feb 2023 14:14:56 +0700
Subject: [PATCH 31/94] Converted LayoutOptions to TextAlignment

---
 renderer.js | 206 ++++++++++++++++++++++++++++++++++------------------
 1 file changed, 135 insertions(+), 71 deletions(-)

diff --git a/renderer.js b/renderer.js
index 58fd58e..04cdc51 100644
--- a/renderer.js
+++ b/renderer.js
@@ -35,6 +35,7 @@ import { Localization } from '../api/Localization';
 import { MathExpression } from '../api/MathExpression';
 import { ClearButtonVisibility } from '../api/ui/properties/ClearButtonVisibility';
 import { LineBreakMode } from '../api/ui/properties/LineBreakMode';
+import { StackOrientation } from '../api/ui/properties/StackOrientation';
 
 var id = 'L_systems_renderer';
 var getName = (language) =>
@@ -1448,7 +1449,8 @@ class LSystem
      */
     toString()
     {
-        let result = `${this.axiom} ${this.turnAngle} ${this.seed} ${[...this.ignoreList].join('')}`;
+        let result = `${this.axiom} ${this.turnAngle} ${this.seed} ` +
+        `${[...this.ignoreList].join('')}`;
         for(let [key, value] of this.rules)
         {
             if(typeof value === 'string')
@@ -2382,7 +2384,9 @@ class Renderer
         if(typeof this.levels[this.lv] === 'undefined')
             return this.loadingString;
 
-        return `\\begin{matrix}x=${getCoordString(this.state.x)},&y=${getCoordString(this.state.y)},&z=${getCoordString(this.state.z)},&${this.progressString}\\end{matrix}`;
+        return `\\begin{matrix}x=${getCoordString(this.state.x)},&
+        y=${getCoordString(this.state.y)},&z=${getCoordString(this.state.z)},&
+        ${this.progressString}\\end{matrix}`;
     }
     /**
      * Returns the cursor's orientation as a string.
@@ -2393,7 +2397,8 @@ class Renderer
         if(typeof this.levels[this.lv] === 'undefined')
             return this.loadingString;
 
-        return `\\begin{matrix}q=${this.ori.toString()},&${this.progressString}\\end{matrix}`;
+        return `\\begin{matrix}q=${this.ori.toString()},&${this.progressString}
+        \\end{matrix}`;
     }
     /**
      * Returns the renderer's string representation.
@@ -2401,7 +2406,12 @@ class Renderer
      */
     toString()
     {
-        return`${this.figScaleStr} ${this.cameraMode} ${this.camXStr} ${this.camYStr} ${this.camZStr} ${this.followFactor} ${this.loopMode} ${this.upright ? 1 : 0} ${this.quickDraw ? 1 : 0} ${this.quickBacktrack ? 1 : 0} ${[...this.backtrackList].join('')} ${this.loadModels ? 1 : 0} ${this.backtrackTail ? 1 : 0} ${this.hesitateApex} ${this.hesitateNode}`;
+        return `${this.figScaleStr} ${this.cameraMode} ${this.camXStr} ` +
+        `${this.camYStr} ${this.camZStr} ${this.followFactor} ` +
+        `${this.loopMode} ${this.upright ? 1 : 0} ${this.quickDraw ? 1 : 0} ` +
+        `${this.quickBacktrack ? 1 : 0} ${[...this.backtrackList].join('')} ` +
+        `${this.loadModels ? 1 : 0} ${this.backtrackTail ? 1 : 0} ` +
+        `${this.hesitateApex} ${this.hesitateNode}`;
     }
 }
 
@@ -2444,7 +2454,7 @@ class VariableControls
             content: ui.createLatexLabel
             ({
                 text: this.variable.getDescription(),
-                verticalOptions: LayoutOptions.CENTER,
+                verticalTextAlignment: TextAlignment.CENTER,
                 textColor: Color.TEXT_MEDIUM
             }),
             borderColor: Color.TRANSPARENT
@@ -2506,8 +2516,8 @@ class VariableControls
             content: ui.createLatexLabel
             ({
                 text: symbol,
-                horizontalOptions: LayoutOptions.CENTER,
-                verticalOptions: LayoutOptions.CENTER,
+                horizontalTextAlignment: TextAlignment.CENTER,
+                verticalTextAlignment: TextAlignment.CENTER,
                 textColor: this.variable.level > 0 ? Color.TEXT :
                 Color.TEXT_MEDIUM
             }),
@@ -2573,8 +2583,8 @@ class VariableControls
             content: ui.createLatexLabel
             ({
                 text: symbol,
-                horizontalOptions: LayoutOptions.CENTER,
-                verticalOptions: LayoutOptions.CENTER,
+                horizontalTextAlignment: TextAlignment.CENTER,
+                verticalTextAlignment: TextAlignment.CENTER,
                 textColor: this.variable.level < this.variable.maxLevel ?
                 Color.TEXT : Color.TEXT_MEDIUM
             }),
@@ -2981,6 +2991,46 @@ var getEquationOverlay = () =>
     return result;
 }
 
+// var getCurrencyBarDelegate = () =>
+// {
+//     let stack = ui.createGrid
+//     ({
+//         columnDefinitions: ['1*', '1*'],
+//         children:
+//         [
+//             ui.createLatexLabel
+//             ({
+//                 column: 0,
+//                 text: () =>
+//                 {
+//                     let msTime = renderer.elapsedTime;
+//                     return `${msTime[0] < 10 ? '0' : ''}${msTime[0]}:` +
+//                     `${msTime[1] < 10 ? '0' : ''}${msTime[1].toFixed(1)} ` +
+//                     `elapsed`;
+//                     min.value = 1e-8 + msTime[0] + msTime[1] / 100;
+//                 },
+//                 fontSize: 11,
+//                 horizontalTextAlignment: TextAlignment.CENTER,
+//                 verticalTextAlignment: TextAlignment.END
+//             }),
+//             ui.createLatexLabel
+//             ({
+//                 column: 1,
+//                 text: () => `${renderer.progressPercent.toFixed(2)}\\%`,
+//                 fontSize: 11,
+//                 horizontalTextAlignment: TextAlignment.CENTER,
+//                 verticalTextAlignment: TextAlignment.END
+//             })
+//         ]
+//     });
+//     return ui.createFrame
+//     ({
+//         padding: new Thickness(0, 6),
+//         // margin: new Thickness(0, -1),
+//         content: stack
+//     });
+// }
+
 let createButton = (label, callback, height = BUTTON_HEIGHT) =>
 {
     let frame = ui.createFrame
@@ -2992,7 +3042,7 @@ let createButton = (label, callback, height = BUTTON_HEIGHT) =>
         content: ui.createLatexLabel
         ({
             text: label,
-            verticalOptions: LayoutOptions.CENTER,
+            verticalTextAlignment: TextAlignment.CENTER,
             textColor: Color.TEXT
         }),
         onTouched: (e) =>
@@ -3183,7 +3233,7 @@ let createConfigMenu = () =>
         getLoc('camModes')[tmpCM]),
         row: 1,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let CMSlider = ui.createSlider
     ({
@@ -3221,7 +3271,7 @@ let createConfigMenu = () =>
         isVisible: tmpCM == 0,
         row: 2,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let camGrid = ui.createEntry
     ({
@@ -3259,8 +3309,8 @@ let createConfigMenu = () =>
                 text: getLoc('labelCamOffset'),
                 row: 0,
                 column: 0,
-                // horizontalOptions: LayoutOptions.END,
-                verticalOptions: LayoutOptions.CENTER
+                // horizontalTextAlignment: TextAlignment.END,
+                verticalTextAlignment: TextAlignment.CENTER
             }),
             CYEntry
         ]
@@ -3283,7 +3333,7 @@ let createConfigMenu = () =>
         text: getLoc('labelFollowFactor'),
         row: 2,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER,
         isVisible: tmpCM > 0
     });
     let FFEntry = ui.createEntry
@@ -3324,7 +3374,7 @@ let createConfigMenu = () =>
         getLoc('loopModes')[tmpLM]),
         row: 0,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let LMSlider = ui.createSlider
     ({
@@ -3372,7 +3422,7 @@ let createConfigMenu = () =>
         text: getLoc('labelLoadModels'),
         row: 2,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let modelSwitch = ui.createSwitch
     ({
@@ -3433,7 +3483,7 @@ let createConfigMenu = () =>
         text: getLoc('labelHesitateApex'),
         row: 2,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let hesASwitch = ui.createSwitch
     ({
@@ -3458,7 +3508,7 @@ let createConfigMenu = () =>
         text: getLoc('labelHesitateNode'),
         row: 3,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let hesNSwitch = ui.createSwitch
     ({
@@ -3483,7 +3533,7 @@ let createConfigMenu = () =>
     //     text: getLoc('labelBTList'),
     //     row: 3,
     //     column: 0,
-    //     verticalOptions: LayoutOptions.CENTER
+    //     verticalTextAlignment: TextAlignment.CENTER
     // });
     // let EXBEntry = ui.createEntry
     // ({
@@ -3522,7 +3572,8 @@ let createConfigMenu = () =>
                                         text: getLoc('labelFigScale'),
                                         row: 0,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     zoomEntry,
                                     CMLabel,
@@ -3538,7 +3589,8 @@ let createConfigMenu = () =>
                                         text: getLoc('labelUpright'),
                                         row: 4,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     uprightSwitch,
                                 ]
@@ -3565,7 +3617,8 @@ let createConfigMenu = () =>
                                         text: getLoc('labelBTTail'),
                                         row: 1,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     tailSwitch
                                 ]
@@ -3592,7 +3645,8 @@ let createConfigMenu = () =>
                                         text: getLoc('labelQuickdraw'),
                                         row: 0,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     QDSwitch,
                                     ui.createLatexLabel
@@ -3600,7 +3654,8 @@ let createConfigMenu = () =>
                                         text: getLoc('labelQuickBT'),
                                         row: 1,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     QBSwitch,
                                     hesALabel,
@@ -3621,7 +3676,7 @@ let createConfigMenu = () =>
                 ({
                     text: getLoc('labelRequireReset'),
                     margin: new Thickness(0, 0, 0, 4),
-                    verticalOptions: LayoutOptions.CENTER
+                    verticalTextAlignment: TextAlignment.CENTER
                 }),
                 ui.createGrid
                 ({
@@ -3733,7 +3788,7 @@ let createSystemMenu = () =>
     let rulesLabel = ui.createLatexLabel
     ({
         text: Localization.format(getLoc('labelRules'), ruleEntries.length),
-        verticalOptions: LayoutOptions.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER,
         margin: new Thickness(0, 12)
     });
     let ruleStack = ui.createStackLayout
@@ -3788,7 +3843,7 @@ let createSystemMenu = () =>
             ({
                 text: getLoc('labelSeed'),
                 column: 0,
-                verticalOptions: LayoutOptions.CENTER
+                verticalTextAlignment: TextAlignment.CENTER
             }),
             ui.createButton
             ({
@@ -3840,7 +3895,8 @@ let createSystemMenu = () =>
                                         text: getLoc('labelAxiom'),
                                         row: 0,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     axiomEntry,
                                     ui.createLatexLabel
@@ -3848,7 +3904,8 @@ let createSystemMenu = () =>
                                         text: getLoc('labelAngle'),
                                         row: 0,
                                         column: 2,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     angleEntry,
                                 ]
@@ -3873,7 +3930,8 @@ let createSystemMenu = () =>
                                         text: getLoc('labelIgnored'),
                                         row: 0,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     ignoreEntry,
                                     seedLabel,
@@ -3977,7 +4035,7 @@ let createNamingMenu = () =>
                 text: key,
                 row: i,
                 column: 0,
-                verticalOptions: LayoutOptions.CENTER
+                verticalTextAlignment: TextAlignment.CENTER
             }));
             let btnO = createOverwriteButton(key);
             btnO.row = i;
@@ -4039,7 +4097,7 @@ let createNamingMenu = () =>
                             text: getLoc('labelName'),
                             row: 0,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         nameEntry
                     ]
@@ -4054,7 +4112,7 @@ let createNamingMenu = () =>
                             text: getLoc('labelDesc'),
                             row: 0,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         descEntry
                     ]
@@ -4068,8 +4126,8 @@ let createNamingMenu = () =>
                 ({
                     text: Localization.format(getLoc('labelSavedSystems'),
                     savedSystems.size),
-                    // horizontalOptions: LayoutOptions.CENTER,
-                    verticalOptions: LayoutOptions.CENTER,
+                    // horizontalTextAlignment: TextAlignment.CENTER,
+                    verticalTextAlignment: TextAlignment.CENTER,
                     margin: new Thickness(0, 12)
                 }),
                 systemGridScroll,
@@ -4123,7 +4181,7 @@ let createSystemClipboardMenu = (values) =>
         text: Localization.format(getLoc('labelEntryCharLimit'),
         ENTRY_CHAR_LIMIT),
         margin: new Thickness(0, 0, 0, 4),
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
 
     let menu = ui.createPopup
@@ -4183,7 +4241,7 @@ let createStateClipboardMenu = (values) =>
         text: Localization.format(getLoc('labelEntryCharLimit'),
         ENTRY_CHAR_LIMIT),
         margin: new Thickness(0, 0, 0, 4),
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
 
     let menu = ui.createPopup
@@ -4246,7 +4304,7 @@ let createViewMenu = (title) =>
         text: getLoc('labelCamCentre'),
         row: 1,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let camGrid = ui.createEntry
     ({
@@ -4271,8 +4329,8 @@ let createViewMenu = (title) =>
                 text: getLoc('labelCamOffset'),
                 row: 0,
                 column: 0,
-                // horizontalOptions: LayoutOptions.END,
-                verticalOptions: LayoutOptions.CENTER
+                // horizontalTextAlignment: TextAlignment.END,
+                verticalTextAlignment: TextAlignment.CENTER
             }),
             ui.createEntry
             ({
@@ -4360,7 +4418,7 @@ let createViewMenu = (title) =>
     let rulesLabel = ui.createLatexLabel
     ({
         text: Localization.format(getLoc('labelRules'), ruleEntries.length),
-        verticalOptions: LayoutOptions.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER,
         margin: new Thickness(0, 12)
     });
     let ruleStack = ui.createStackLayout
@@ -4415,7 +4473,7 @@ let createViewMenu = (title) =>
             ({
                 text: getLoc('labelSeed'),
                 column: 0,
-                verticalOptions: LayoutOptions.CENTER
+                verticalTextAlignment: TextAlignment.CENTER
             }),
             ui.createButton
             ({
@@ -4462,8 +4520,8 @@ let createViewMenu = (title) =>
                             ({
                                 text: tmpDesc,
                                 margin: new Thickness(0, 6),
-                                horizontalOptions: LayoutOptions.CENTER,
-                                verticalOptions: LayoutOptions.CENTER
+                                horizontalTextAlignment: TextAlignment.CENTER,
+                                verticalTextAlignment: TextAlignment.CENTER
                             }),
                             ui.createGrid
                             ({
@@ -4475,7 +4533,8 @@ let createViewMenu = (title) =>
                                         text: getLoc('labelAxiom'),
                                         row: 0,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     axiomEntry,
                                     ui.createLatexLabel
@@ -4483,7 +4542,8 @@ let createViewMenu = (title) =>
                                         text: getLoc('labelAngle'),
                                         row: 0,
                                         column: 2,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     angleEntry
                                 ]
@@ -4508,7 +4568,8 @@ let createViewMenu = (title) =>
                                         text: getLoc('labelIgnored'),
                                         row: 0,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     ignoreEntry,
                                     seedLabel,
@@ -4523,8 +4584,9 @@ let createViewMenu = (title) =>
                             ui.createLatexLabel
                             ({
                                 text: getLoc('labelApplyCamera'),
-                                // horizontalOptions: LayoutOptions.CENTER,
-                                verticalOptions: LayoutOptions.CENTER,
+                                // horizontalTextAlignment:
+                                // TextAlignment.CENTER,
+                                verticalTextAlignment: TextAlignment.CENTER,
                                 margin: new Thickness(0, 12)
                             }),
                             ui.createGrid
@@ -4537,7 +4599,8 @@ let createViewMenu = (title) =>
                                         text: getLoc('labelFigScale'),
                                         row: 0,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     zoomEntry,
                                     camLabel,
@@ -4549,7 +4612,8 @@ let createViewMenu = (title) =>
                                         text: getLoc('labelUpright'),
                                         row: 3,
                                         column: 0,
-                                        verticalOptions: LayoutOptions.CENTER
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
                                     }),
                                     uprightSwitch
                                 ]
@@ -4631,8 +4695,8 @@ let createSaveMenu = () =>
     ({
         text: Localization.format(getLoc('labelSavedSystems'),
         savedSystems.size),
-        // horizontalOptions: LayoutOptions.CENTER,
-        verticalOptions: LayoutOptions.CENTER,
+        // horizontalTextAlignment: TextAlignment.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER,
         margin: new Thickness(0, 12)
     });
     let getSystemGrid = () =>
@@ -4646,7 +4710,7 @@ let createSaveMenu = () =>
                 text: key,
                 row: i,
                 column: 0,
-                verticalOptions: LayoutOptions.CENTER
+                verticalTextAlignment: TextAlignment.CENTER
             }));
             let btn = createViewButton(key);
             btn.row = i;
@@ -4708,7 +4772,7 @@ let createSaveMenu = () =>
                             text: getLoc('labelCurrentSystem'),
                             row: 0,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         ui.createButton
                         ({
@@ -4770,8 +4834,8 @@ let createManualMenu = () =>
         text: manualPages[page].title,
         margin: new Thickness(0, 4),
         heightRequest: 20,
-        horizontalOptions: LayoutOptions.CENTER,
-        verticalOptions: LayoutOptions.CENTER
+        horizontalTextAlignment: TextAlignment.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let pageContents = ui.createLabel
     ({
@@ -4796,8 +4860,8 @@ let createManualMenu = () =>
                 text: getLoc('labelSource'),
                 row: 0,
                 column: 0,
-                horizontalOptions: LayoutOptions.END_AND_EXPAND,
-                verticalOptions: LayoutOptions.CENTER
+                horizontalOptions: LayoutOptions.END,
+                verticalTextAlignment: TextAlignment.CENTER
             }),
             sourceEntry
         ]
@@ -4893,7 +4957,7 @@ let createManualMenu = () =>
                 text: manualPages[contentsTable[i]].title,
                 row: i,
                 column: 0,
-                verticalOptions: LayoutOptions.CENTER
+                verticalTextAlignment: TextAlignment.CENTER
             }));
             children.push(ui.createButton
             ({
@@ -4982,8 +5046,8 @@ let createSeqViewMenu = (level) =>
         renderer.levels[level].length),
         margin: new Thickness(0, 4),
         heightRequest: 20,
-        horizontalOptions: LayoutOptions.CENTER,
-        verticalOptions: LayoutOptions.CENTER
+        horizontalTextAlignment: TextAlignment.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let pageContents = ui.createLabel
     ({
@@ -5035,7 +5099,7 @@ let createSequenceMenu = () =>
             renderer.levels[i].length),
             row: i,
             column: 0,
-            verticalOptions: LayoutOptions.CENTER
+            verticalTextAlignment: TextAlignment.CENTER
         }));
         tmpLvls.push(ui.createButton
         ({
@@ -5121,7 +5185,7 @@ let createWorldMenu = () =>
         getLoc('terEqModes')[Number(tmpAC)]),
         row: 2,
         column: 0,
-        verticalOptions: LayoutOptions.CENTER
+        verticalTextAlignment: TextAlignment.CENTER
     });
     let ACSwitch = ui.createSwitch
     ({
@@ -5210,7 +5274,7 @@ let createWorldMenu = () =>
                             text: getLoc('labelOfflineReset'),
                             row: 0,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         ODSwitch,
                         ui.createLatexLabel
@@ -5218,7 +5282,7 @@ let createWorldMenu = () =>
                             text: getLoc('labelResetLvl'),
                             row: 1,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         RLSwitch,
                         ACLabel,
@@ -5228,7 +5292,7 @@ let createWorldMenu = () =>
                             text: getLoc('labelMeasure'),
                             row: 3,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         MPSwitch,
                         ui.createLatexLabel
@@ -5236,7 +5300,7 @@ let createWorldMenu = () =>
                             text: getLoc('debugCamPath'),
                             row: 4,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         DCPSwitch,
                         ui.createLatexLabel
@@ -5244,7 +5308,7 @@ let createWorldMenu = () =>
                             text: getLoc('labelMaxCharsPerTick'),
                             row: 5,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         MCPTEntry,
                         ui.createLatexLabel
@@ -5252,7 +5316,7 @@ let createWorldMenu = () =>
                             text: getLoc('labelInternalState'),
                             row: 6,
                             column: 0,
-                            verticalOptions: LayoutOptions.CENTER
+                            verticalTextAlignment: TextAlignment.CENTER
                         }),
                         ui.createButton
                         ({

From e20a0217760056a41d0fde7caba743c7b12ce09c Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 14 Feb 2023 14:49:32 +0700
Subject: [PATCH 32/94] Fixed crash when a model is not found

---
 renderer.js | 9 +++++++++
 1 file changed, 9 insertions(+)

diff --git a/renderer.js b/renderer.js
index 04cdc51..0b9d38f 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1945,6 +1945,11 @@ class Renderer
                             this.ori = ZAxisQuat.mul(this.ori);
                             break;
                         case '~':
+                            if(!this.system.models.has(
+                            this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1] + 1]))
+                                break;
+
                             ++this.mdi[this.mdi.length - 1];
                             this.models.push(this.system.models.get(
                             this.models[this.models.length - 1][
@@ -2099,6 +2104,10 @@ class Renderer
                         this.ori = ZAxisQuat.mul(this.ori);
                         break;
                     case '~':
+                        if(!this.system.models.has(
+                        this.levels[this.lv][this.i + 1]))
+                            break;
+
                         ++this.i;
                         this.models.push(this.system.models.get(
                         this.levels[this.lv][this.i]));

From e6fbf0da114df4c95c31a1dc337718bd52e9f983 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 20 Feb 2023 02:21:21 +0700
Subject: [PATCH 33/94] Implemented tropism!

---
 TODO.md     |   8 +++-
 renderer.js | 104 +++++++++++++++++++++++++++++++++++++++++++++++++++-
 2 files changed, 108 insertions(+), 4 deletions(-)

diff --git a/TODO.md b/TODO.md
index d7b262a..96879d0 100644
--- a/TODO.md
+++ b/TODO.md
@@ -43,8 +43,12 @@
   - [x] Separate starting quaternions for upright and sideways
     - Stop swizzling!
     - Tropism is still the same direction, so we can simulate sideways vines
-- [ ] Investigate sunlight heading (heliotropism) (`$`)
-
+- [ ] Investigate vertical heading (`$`) (NOT helio-tropism)
+  - Houdini: $(x,y,z)
+  Rotates the turtle so the up vector is (0,1,0). Points the turtle in the direction of the point (x,y,z). Default behavior is only to orient and not to change the direction.
+  - Abop: The symbol $ rolls the turtle around its own axis so that vector L pointing to the left of the turtle is brought to a horizontal position. Consequently, the branch plane is “closest to a horizontal plane,” as required by Honda’s model. From a technical point of view, $ modifies the turtle orientation in space according to the formulae
+  L = V × H / |V × H| and U = H × L,
+  where vectors H, L and U are the heading (`\ /`), left (`& ^`) and up (`+ -`) vectors associated with the turtle, V is the direction opposite to gravity, and |A| denotes the length of vector A.
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Stochastic in PLSR: has to be on the same line
diff --git a/renderer.js b/renderer.js
index 0b9d38f..ebf41bf 100644
--- a/renderer.js
+++ b/renderer.js
@@ -1130,6 +1130,23 @@ class Quaternion
     {
         return new Quaternion(this.r, -this.i, -this.j, -this.k);
     }
+    /**
+     * Computes the norm of a quaternion.
+     * @returns {number} the norm.
+     */
+    get norm()
+    {
+        return Math.sqrt(this.r ** 2 + this.i ** 2 + this.j ** 2 + this.k ** 2);
+    }
+    /**
+     * Normalises a quaternion.
+     * @returns {Quaternion} the normalised quaternion.
+     */
+    get normalise()
+    {
+        let n = this.norm;
+        return new Quaternion(this.r / n, this.i / n, this.j / n, this.k / n);
+    }
     /**
      * Returns a rotation vector from the quaternion.
      * @returns {Vector3} the rotation vector.
@@ -1139,6 +1156,82 @@ class Quaternion
         let r = this.neg.mul(XAxisQuat).mul(this);
         return new Vector3(r.i, r.j, r.k);
     }
+    /**
+     * Applies a gravi-tropism to the quaternion.
+     * @param {number} weight the weight of the vector (negative for upwards).
+     * @returns {Quaternion} a new sagged quaternion.
+     */
+    applyTropism(weight = 0)
+    {
+        if(weight == 0)
+            return this;
+        
+        let curRot = this.rotVector;
+        let newRot = curRot + new Vector3(0, weight, 0);
+        let n = newRot.length;
+        if(n == 0)
+            return this;
+        newRot /= n;
+        let dp = curRot.x * newRot.x + curRot.y * newRot.y +
+        curRot.z * newRot.z;
+        let axis;
+        if(dp < -1 + 1e-8)
+        {
+            /* Edge case
+            If the two vectors are in opposite directions, select an axis for
+            fun.
+            */
+            // Cross product with (0, 0, 1)
+            axis = new Vector3(-curRot.y, curRot.x, 0);
+            let an = axis.norm;
+            if(Math.abs(an) < 0.1)
+            {
+                // Cross product with (1, 0, 0)
+                axis = new Vector3(0, -curRot.z, curRot.y);
+            }
+            an = axis.norm;
+            axis /= an;
+            return new Quaternion(0, axis.x, axis.y, axis.z).mul(this);
+        }
+        axis = new Vector3(
+            curRot.y * newRot.z - curRot.z * newRot.y,
+            curRot.z * newRot.x - curRot.x * newRot.z,
+            curRot.x * newRot.y - curRot.y * newRot.x,
+        );
+        let s = Math.sqrt((1 + dp) * 2);
+        return new Quaternion(
+            s / 2,
+            axis.x / s,
+            axis.y / s,
+            axis.z / s
+        ).mul(this);
+// float cosTheta = Vector3f::DotProduct(forward, direction);
+// Vector3f axis;
+
+// if (cosTheta < -1 + 0.001f) {
+//     // special case when vectors in opposite directions:
+//     // there is no "ideal" rotation axis
+//     // So guess one; any will do as long as it's perpendicular to start
+//     axis = Vector3f::CrossProduct(Vector3f(0.0f, 0.0f, 1.0f), forward);
+
+//     if (axis.Length() * axis.Length() < 0.01)
+//         axis = Vector3f::CrossProduct(Vector3f(1.0f, 0.0f, 0.0f), forward);
+
+//     axis = Vector3f::Normalize(axis);
+//     return Quaternion(axis.x, axis.y, axis.z, DegreesToRadians(0));
+// }
+
+// axis = Vector3f::CrossProduct(forward, direction);
+// float s = sqrt((1 + cosTheta) * 2);
+// float invs = 1 / s;
+
+// return Quaternion(
+//     axis.x * invs,
+//     axis.y * invs,
+//     axis.z * invs,
+//     s * 0.5f
+// );
+    }
     /**
      * Returns the quaternion's string representation.
      * @returns {string} the string.
@@ -1163,7 +1256,7 @@ class LSystem
      * systems.
      */
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '', models = {})
+    ignoreList = '', models = {}, tropism = 0)
     {
         this.userInput =
         {
@@ -1490,7 +1583,7 @@ class Renderer
      */
     constructor(system, figureScale = 1, cameraMode = 0, camX = 0, camY = 0,
     camZ = 0, followFactor = 0.15, loopMode = 0, upright = false,
-    quickDraw = false, quickBacktrack = false, backtrackList = '+-&^\\/|[',
+    quickDraw = false, quickBacktrack = false, backtrackList = '+-&^\\/|[$T',
     loadModels = true, backtrackTail = false, hesitateApex = true,
     hesitateNode = true)
     {
@@ -1944,6 +2037,9 @@ class Renderer
                         case '|':
                             this.ori = ZAxisQuat.mul(this.ori);
                             break;
+                        case 'T':
+                            this.ori = this.ori.applyTropism(0.5);
+                            break;
                         case '~':
                             if(!this.system.models.has(
                             this.models[this.models.length - 1][
@@ -2103,6 +2199,9 @@ class Renderer
                     case '|':
                         this.ori = ZAxisQuat.mul(this.ori);
                         break;
+                    case 'T':
+                        this.ori = this.ori.applyTropism(0.5);
+                        break;
                     case '~':
                         if(!this.system.models.has(
                         this.levels[this.lv][this.i + 1]))
@@ -2715,6 +2814,7 @@ class Measurer
     }
 }
 
+// const sidewayQuat = new Quaternion(1, 0, 0, 0);
 const uprightQuat = new Quaternion(Math.sqrt(2)/2, 0, 0, -Math.sqrt(2)/2);
 const XAxisQuat = new Quaternion(0, 1, 0, 0);
 const ZAxisQuat = new Quaternion(0, 0, 0, 1);

From 68ef02128fbaf1e3b74f6936d7d7398163c925d7 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 20 Feb 2023 14:26:39 +0700
Subject: [PATCH 34/94] Fixed calculation bugs with tropism; Added tropism
 input to systems

---
 renderer.js | 138 ++++++++++++++++++++++++++++++----------------------
 1 file changed, 80 insertions(+), 58 deletions(-)

diff --git a/renderer.js b/renderer.js
index ebf41bf..9da8768 100644
--- a/renderer.js
+++ b/renderer.js
@@ -209,6 +209,7 @@ const locStrings =
         labelAngle: 'Turning angle (°): ',
         labelRules: 'Production rules: {0}',
         labelIgnored: 'Ignored symbols: ',
+        labelTropism: 'Tropism (gravity): ',
         labelSeed: 'Seed (non-zero): ',
 
         menuRenderer: 'Renderer Menu',
@@ -1157,7 +1158,8 @@ class Quaternion
         return new Vector3(r.i, r.j, r.k);
     }
     /**
-     * Applies a gravi-tropism to the quaternion.
+     * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
+     * Applies a gravi-tropism to the quaternion. Why is negative for upwards?
      * @param {number} weight the weight of the vector (negative for upwards).
      * @returns {Quaternion} a new sagged quaternion.
      */
@@ -1167,7 +1169,7 @@ class Quaternion
             return this;
         
         let curRot = this.rotVector;
-        let newRot = curRot + new Vector3(0, weight, 0);
+        let newRot = curRot - new Vector3(0, weight, 0);
         let n = newRot.length;
         if(n == 0)
             return this;
@@ -1178,20 +1180,10 @@ class Quaternion
         if(dp < -1 + 1e-8)
         {
             /* Edge case
-            If the two vectors are in opposite directions, select an axis for
-            fun.
+            If the two vectors are in opposite directions, just do the sensible
+            thing.
             */
-            // Cross product with (0, 0, 1)
-            axis = new Vector3(-curRot.y, curRot.x, 0);
-            let an = axis.norm;
-            if(Math.abs(an) < 0.1)
-            {
-                // Cross product with (1, 0, 0)
-                axis = new Vector3(0, -curRot.z, curRot.y);
-            }
-            an = axis.norm;
-            axis /= an;
-            return new Quaternion(0, axis.x, axis.y, axis.z).mul(this);
+            return ZAxisQuat.mul(this);
         }
         axis = new Vector3(
             curRot.y * newRot.z - curRot.z * newRot.y,
@@ -1199,38 +1191,13 @@ class Quaternion
             curRot.x * newRot.y - curRot.y * newRot.x,
         );
         let s = Math.sqrt((1 + dp) * 2);
+        // I forgore that our quaternions have to be all negative
         return new Quaternion(
-            s / 2,
+            -s / 2,
             axis.x / s,
             axis.y / s,
             axis.z / s
         ).mul(this);
-// float cosTheta = Vector3f::DotProduct(forward, direction);
-// Vector3f axis;
-
-// if (cosTheta < -1 + 0.001f) {
-//     // special case when vectors in opposite directions:
-//     // there is no "ideal" rotation axis
-//     // So guess one; any will do as long as it's perpendicular to start
-//     axis = Vector3f::CrossProduct(Vector3f(0.0f, 0.0f, 1.0f), forward);
-
-//     if (axis.Length() * axis.Length() < 0.01)
-//         axis = Vector3f::CrossProduct(Vector3f(1.0f, 0.0f, 0.0f), forward);
-
-//     axis = Vector3f::Normalize(axis);
-//     return Quaternion(axis.x, axis.y, axis.z, DegreesToRadians(0));
-// }
-
-// axis = Vector3f::CrossProduct(forward, direction);
-// float s = sqrt((1 + cosTheta) * 2);
-// float invs = 1 / s;
-
-// return Quaternion(
-//     axis.x * invs,
-//     axis.y * invs,
-//     axis.z * invs,
-//     s * 0.5f
-// );
     }
     /**
      * Returns the quaternion's string representation.
@@ -1256,7 +1223,7 @@ class LSystem
      * systems.
      */
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '', models = {}, tropism = 0)
+    ignoreList = '', models = {}, tropism = 0.5)
     {
         this.userInput =
         {
@@ -1265,7 +1232,8 @@ class LSystem
             turnAngle: turnAngle,
             seed: seed,
             ignoreList: ignoreList,
-            models: models
+            models: models,
+            tropism: tropism
         };
         /**
          * @type {string[]} the production rules.
@@ -1395,6 +1363,8 @@ class LSystem
         this.rotations.set('^', new Quaternion(c, 0, s, 0));
         this.rotations.set('\\', new Quaternion(c, -s, 0, 0));
         this.rotations.set('/', new Quaternion(c, s, 0, 0));
+
+        this.tropism = tropism;
     }
     rerollAxiom()
     {
@@ -1533,7 +1503,8 @@ class LSystem
             turnAngle: this.userInput.turnAngle,
             seed: this.userInput.seed,
             ignoreList: this.userInput.ignoreList,
-            models: this.userInput.models
+            models: this.userInput.models,
+            tropism: this.userInput.tropism
         };
     }
     /**
@@ -2038,7 +2009,8 @@ class Renderer
                             this.ori = ZAxisQuat.mul(this.ori);
                             break;
                         case 'T':
-                            this.ori = this.ori.applyTropism(0.5);
+                            this.ori = this.ori.applyTropism(
+                            this.system.tropism);
                             break;
                         case '~':
                             if(!this.system.models.has(
@@ -2200,7 +2172,7 @@ class Renderer
                         this.ori = ZAxisQuat.mul(this.ori);
                         break;
                     case 'T':
-                        this.ori = this.ori.applyTropism(0.5);
+                        this.ori = this.ori.applyTropism(this.system.tropism);
                         break;
                     case '~':
                         if(!this.system.models.has(
@@ -3940,10 +3912,23 @@ let createSystemMenu = () =>
             tmpIgnore = nt;
         }
     });
+    let tmpTropism = values.tropism;
+    let tropismEntry = ui.createEntry
+    ({
+        text: tmpTropism.toString(),
+        keyboard: Keyboard.NUMERIC,
+        row: 1,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpTropism = Number(nt);
+        }
+    });
     let tmpSeed = values.seed;
     let seedLabel = ui.createGrid
     ({
-        row: 1,
+        row: 2,
         column: 0,
         columnDefinitions: ['40*', '30*'],
         children:
@@ -3971,7 +3956,7 @@ let createSystemMenu = () =>
     ({
         text: tmpSeed.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 1,
+        row: 2,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4043,6 +4028,15 @@ let createSystemMenu = () =>
                                         TextAlignment.CENTER
                                     }),
                                     ignoreEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelTropism'),
+                                        row: 1,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    tropismEntry,
                                     seedLabel,
                                     seedEntry
                                 ]
@@ -4070,7 +4064,8 @@ let createSystemMenu = () =>
                             {
                                 Sound.playClick();
                                 renderer.constructSystem = new LSystem(tmpAxiom,
-                                tmpRules, tmpAngle, tmpSeed, tmpIgnore);
+                                tmpRules, tmpAngle, tmpSeed, tmpIgnore,
+                                undefined, tmpTropism);
                                 if(tmpSystem)
                                 {
                                     tmpSystem = null;
@@ -4097,6 +4092,7 @@ let createSystemMenu = () =>
                                 getLoc('labelRules'), ruleEntries.length);
                                 ruleStack.children = ruleEntries;
                                 ignoreEntry.text = values.ignoreList;
+                                tropismEntry.text = values.tropism.toString();
                                 seedEntry.text = values.seed.toString();
                             }
                         })
@@ -4318,7 +4314,8 @@ let createSystemClipboardMenu = (values) =>
                         tmpSystemDesc = sv.desc;
                         renderer.constructSystem = new LSystem(sv.system.axiom,
                         sv.system.rules, sv.system.turnAngle,
-                        sv.system.seed, sv.system.ignoreList);
+                        sv.system.seed, sv.system.ignoreList, undefined,
+                        sv.system.tropism);
                         tmpSystem = null;
                         if('config' in sv)
                             renderer.configureStaticCamera(...sv.config);
@@ -4495,7 +4492,7 @@ let createViewMenu = (title) =>
             tmpAxiom = nt;
         }
     });
-    let tmpAngle = values.turnAngle;
+    let tmpAngle = values.turnAngle || 0;
     let angleEntry = ui.createEntry
     ({
         text: tmpAngle.toString(),
@@ -4570,10 +4567,23 @@ let createViewMenu = (title) =>
             tmpIgnore = nt;
         }
     });
-    let tmpSeed = values.seed;
-    let seedLabel = ui.createGrid
+    let tmpTropism = values.tropism || 0.5;
+    let tropismEntry = ui.createEntry
     ({
+        text: tmpTropism.toString(),
+        keyboard: Keyboard.NUMERIC,
         row: 1,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpTropism = Number(nt);
+        }
+    });
+    let tmpSeed = values.seed || 0;
+    let seedLabel = ui.createGrid
+    ({
+        row: 2,
         column: 0,
         columnDefinitions: ['40*', '30*'],
         children:
@@ -4601,7 +4611,7 @@ let createViewMenu = (title) =>
     ({
         text: tmpSeed.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 1,
+        row: 2,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4681,6 +4691,15 @@ let createViewMenu = (title) =>
                                         TextAlignment.CENTER
                                     }),
                                     ignoreEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelTropism'),
+                                        row: 1,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    tropismEntry,
                                     seedLabel,
                                     seedEntry
                                 ]
@@ -4750,7 +4769,8 @@ let createViewMenu = (title) =>
                             {
                                 Sound.playClick();
                                 renderer.constructSystem = new LSystem(tmpAxiom,
-                                tmpRules, tmpAngle, tmpSeed, tmpIgnore);
+                                tmpRules, tmpAngle, tmpSeed, tmpIgnore,
+                                undefined, tmpTropism);
                                 tmpSystem = null;
                                 renderer.configureStaticCamera(tmpZE, tmpCX,
                                 tmpCY, tmpCZ, tmpUpright);
@@ -4771,7 +4791,8 @@ let createViewMenu = (title) =>
                                 {
                                     desc: tmpDesc,
                                     system: new LSystem(tmpAxiom, tmpRules,
-                                    tmpAngle, tmpSeed, tmpIgnore).object,
+                                    tmpAngle, tmpSeed, tmpIgnore, undefined,
+                                    tmpTropism).object,
                                     config: [tmpZE, tmpCX, tmpCY, tmpCZ,
                                     tmpUpright]
                                 });
@@ -5559,7 +5580,8 @@ var setInternalState = (stateStr) =>
             tmpSystemName = state.system.title;
             tmpSystemDesc = state.system.desc;
             tmpSystem = new LSystem(state.system.axiom, state.system.rules,
-            state.system.turnAngle, state.system.seed, state.system.ignoreList);
+            state.system.turnAngle, state.system.seed, state.system.ignoreList,
+            undefined, state.system.tropism);
         }
         
         if('renderer' in state)

From 477a2a07b56c2ae83cd8d91b7e1e76829c535699 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 20 Feb 2023 22:33:24 +0700
Subject: [PATCH 35/94] Attempted to implement vertical alignment

---
 TODO.md     |   6 +-
 renderer.js | 173 ++++++++++++++++++++++++++++++++++------------------
 2 files changed, 118 insertions(+), 61 deletions(-)

diff --git a/TODO.md b/TODO.md
index 96879d0..9d67ea4 100644
--- a/TODO.md
+++ b/TODO.md
@@ -26,7 +26,7 @@
 
 - [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
 - [ ] Add more comments in the code
-- [ ] Update docstrings
+- [ ] Update docstrings (done up to Quaternion)
 
 - [x] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
 
@@ -39,7 +39,7 @@
   - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
   - [ ] Button to change mode between degrees and radians
 
-- [ ] Investigate tropism (capital T)
+- [x] Investigate tropism (capital T)
   - [x] Separate starting quaternions for upright and sideways
     - Stop swizzling!
     - Tropism is still the same direction, so we can simulate sideways vines
@@ -49,6 +49,8 @@
   - Abop: The symbol $ rolls the turtle around its own axis so that vector L pointing to the left of the turtle is brought to a horizontal position. Consequently, the branch plane is “closest to a horizontal plane,” as required by Honda’s model. From a technical point of view, $ modifies the turtle orientation in space according to the formulae
   L = V × H / |V × H| and U = H × L,
   where vectors H, L and U are the heading (`\ /`), left (`& ^`) and up (`+ -`) vectors associated with the turtle, V is the direction opposite to gravity, and |A| denotes the length of vector A.
+- [ ] Add T and $ to gude
+
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Stochastic in PLSR: has to be on the same line
diff --git a/renderer.js b/renderer.js
index 9da8768..e426a4e 100644
--- a/renderer.js
+++ b/renderer.js
@@ -167,7 +167,7 @@ const locStrings =
         saPatienceHint: 'Be patient.',
 
         btnSave: 'Save',
-        btnClear: 'Clear',
+        btnClear: 'Clear All',
         btnDefault: '* Reset to Defaults',
         btnAdd: 'Add',
         btnReroll: 'Reroll',
@@ -874,8 +874,8 @@ Upright`
 
 /**
  * Returns a localised string.
- * @param {string} name the internal name of the string.
- * @returns {string} the string.
+ * @param {string} name the string's internal name.
+ * @returns {string}
  */
 let getLoc = (name, lang = menuLang) =>
 {
@@ -890,7 +890,7 @@ let getLoc = (name, lang = menuLang) =>
 
 /**
  * Returns a string of a fixed decimal number, with a fairly uniform width.
- * @returns {string} the string.
+ * @returns {string}
  */
 let getCoordString = (x) => x.toFixed(x >= -0.01 ?
     (x <= 9.999 ? 3 : (x <= 99.99 ? 2 : 1)) :
@@ -898,10 +898,10 @@ let getCoordString = (x) => x.toFixed(x >= -0.01 ?
 );
 
 /**
- * Compares for every member of two sets.
+ * Compares equality for every member of two sets, disregarding order.
  * @param {Set} xs set 1.
  * @param {Set} ys set 2.
- * @returns {boolean} whether two sets are the exact same (disregarding order).
+ * @returns {boolean}
  */
 let eqSet = (xs, ys) => xs.size === ys.size && [...xs].every((x) => ys.has(x));
 
@@ -918,29 +918,25 @@ class LCG
     {
         /**
          * @type {number} the mod of this realm.
-         * @public but not really.
          */
         this.m = 0x80000000; // 2**31;
         /**
          * @type {number} some constant
-         * @public but shouldn't be.
          */
         this.a = 1103515245;
         /**
          * @type {number} some other constant.
-         * @public please leave me pretty be.
          */
         this.c = 12345;
         /**
          * @type {number} the LCG's current state.
-         * @public honestly.
          */
         this.state = seed % this.m;
     }
 
     /**
      * Returns a random integer within [0, 2^31).
-     * @returns {number} the next integer in the generator.
+     * @returns {number}
      */
     get nextInt()
     {
@@ -951,7 +947,7 @@ class LCG
      * Returns a random floating point number within [0, 1] or [0, 1).
      * @param {boolean} [includeEnd] (default: false) whether to include the
      * number 1 in the range.
-     * @returns {number} the floating point, corresponding to the next integer.
+     * @returns {number}
      */
     nextFloat(includeEnd = false)
     {
@@ -970,7 +966,7 @@ class LCG
      * Returns a random integer within a range of [start, end).
      * @param {number} start the range's lower bound.
      * @param {number} end the range's upper bound, plus 1.
-     * @returns {number} the integer.
+     * @returns {number}
      */
     nextRange(start, end)
     {
@@ -981,7 +977,7 @@ class LCG
     /**
      * Returns a random element from an array.
      * @param {any[]} array the array.
-     * @returns the element.
+     * @returns {any}
      */
     choice(array)
     {
@@ -998,11 +994,11 @@ class Xorshift
     {
         this.state = seed;
         this.mod = 0x100000000;
-                // 0xffff ffff
+                // 0x ffffffff + 1
     }
     /**
      * Returns a random integer within [0, 2^32) probably.
-     * @returns {number} the next integer in the generator.
+     * @returns {number}
      */
     get nextInt()
     {
@@ -1017,7 +1013,7 @@ class Xorshift
      * Returns a random floating point number within [0, 1] or [0, 1).
      * @param {boolean} [includeEnd] (default: false) whether to include the
      * number 1 in the range.
-     * @returns {number} the floating point, corresponding to the next integer.
+     * @returns {number}
      */
     nextFloat(includeEnd = false)
     {
@@ -1033,7 +1029,7 @@ class Xorshift
      * Returns a random integer within a range of [start, end).
      * @param {number} start the range's lower bound.
      * @param {number} end the range's upper bound, plus 1.
-     * @returns {number} the integer.
+     * @returns {number}
      */
     nextRange(start, end)
     {
@@ -1044,7 +1040,7 @@ class Xorshift
     /**
      * Returns a random element from an array.
      * @param {any[]} array the array.
-     * @returns the element.
+     * @returns {any}
      */
     choice(array)
     {
@@ -1068,22 +1064,18 @@ class Quaternion
     {
         /**
          * @type {number} the real component.
-         * @public
          */
         this.r = r;
         /**
          * @type {number} the imaginary i component.
-         * @public
          */
         this.i = i;
         /**
          * @type {number} the imaginary j component.
-         * @public
          */
         this.j = j;
         /**
          * @type {number} the imaginary k component.
-         * @public
          */
         this.k = k;
     }
@@ -1092,7 +1084,7 @@ class Quaternion
      * Computes the sum of the current quaternion with another. Does not modify
      * the original quaternion.
      * @param {Quaternion} quat this other quaternion.
-     * @returns {Quaternion} the sum.
+     * @returns {Quaternion}
      */
     add(quat)
     {
@@ -1107,7 +1099,7 @@ class Quaternion
      * Computes the product of the current quaternion with another. Does not
      * modify the original quaternion.
      * @param {Quaternion} quat this other quaternion.
-     * @returns {Quaternion} the product.
+     * @returns {Quaternion}
      */
     mul(quat)
     {
@@ -1125,7 +1117,7 @@ class Quaternion
      * Computes the negation of a quaternion. The negation also acts as the
      * inverse if the quaternion's norm is 1, which is the case with rotation
      * quaternions.
-     * @returns {Quaternion} the negation.
+     * @returns {Quaternion}
      */
     get neg()
     {
@@ -1133,7 +1125,7 @@ class Quaternion
     }
     /**
      * Computes the norm of a quaternion.
-     * @returns {number} the norm.
+     * @returns {number}
      */
     get norm()
     {
@@ -1141,7 +1133,7 @@ class Quaternion
     }
     /**
      * Normalises a quaternion.
-     * @returns {Quaternion} the normalised quaternion.
+     * @returns {Quaternion}
      */
     get normalise()
     {
@@ -1149,33 +1141,42 @@ class Quaternion
         return new Quaternion(this.r / n, this.i / n, this.j / n, this.k / n);
     }
     /**
-     * Returns a rotation vector from the quaternion.
-     * @returns {Vector3} the rotation vector.
+     * Returns a heading vector from the quaternion.
+     * @returns {Vector3}
      */
-    get rotVector()
+    get headingVector()
     {
-        let r = this.neg.mul(XAxisQuat).mul(this);
+        let r = this.neg.mul(xUpQuat).mul(this);
         return new Vector3(r.i, r.j, r.k);
     }
     /**
-     * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
-     * Applies a gravi-tropism to the quaternion. Why is negative for upwards?
-     * @param {number} weight the weight of the vector (negative for upwards).
-     * @returns {Quaternion} a new sagged quaternion.
+     * Returns an up vector from the quaternion.
+     * @returns {Vector3}
      */
-    applyTropism(weight = 0)
+    get upVector()
     {
-        if(weight == 0)
-            return this;
-        
-        let curRot = this.rotVector;
-        let newRot = curRot - new Vector3(0, weight, 0);
-        let n = newRot.length;
-        if(n == 0)
-            return this;
-        newRot /= n;
-        let dp = curRot.x * newRot.x + curRot.y * newRot.y +
-        curRot.z * newRot.z;
+        let r = this.neg.mul(yUpQuat).mul(this);
+        return new Vector3(r.i, r.j, r.k);
+    }
+    /**
+     * Returns a side vector (left or right?) from the quaternion.
+     * @returns {Vector3}
+     */
+    get sideVector()
+    {
+        let r = this.neg.mul(zUpQuat).mul(this);
+        return new Vector3(r.i, r.j, r.k);
+    }
+    /**
+     * Rotate from a heading vector to another.
+     * @param {Vector3} src the current heading.
+     * @param {Vector3} dst the target heading.
+     * @returns {Quaternion}
+     */
+    rotateFrom(src, dst)
+    {
+        let dp = src.x * dst.x + src.y * dst.y +
+        src.z * dst.z;
         let axis;
         if(dp < -1 + 1e-8)
         {
@@ -1183,15 +1184,15 @@ class Quaternion
             If the two vectors are in opposite directions, just do the sensible
             thing.
             */
-            return ZAxisQuat.mul(this);
+            return zUpQuat.mul(this);
         }
         axis = new Vector3(
-            curRot.y * newRot.z - curRot.z * newRot.y,
-            curRot.z * newRot.x - curRot.x * newRot.z,
-            curRot.x * newRot.y - curRot.y * newRot.x,
+            src.y * dst.z - src.z * dst.y,
+            src.z * dst.x - src.x * dst.z,
+            src.x * dst.y - src.y * dst.x,
         );
         let s = Math.sqrt((1 + dp) * 2);
-        // I forgore that our quaternions have to be all negative
+        // I forgore that our quaternions have to be all negative, dunnoe why
         return new Quaternion(
             -s / 2,
             axis.x / s,
@@ -1199,9 +1200,53 @@ class Quaternion
             axis.z / s
         ).mul(this);
     }
+    /**
+     * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
+     * Applies a gravi-tropism vector to the quaternion.
+     * @param {number} weight the vector's weight (negative for upwards).
+     * @returns {Quaternion}
+     */
+    applyTropism(weight = 0)
+    {
+        if(weight == 0)
+            return this;
+        
+        let curHead = this.headingVector;
+        let newHead = curHead - new Vector3(0, weight, 0);
+        let n = newHead.length;
+        if(n == 0)
+            return this;
+        newHead /= n;
+        return this.rotateFrom(curHead, newHead);
+    }
+    /**
+     * Rolls the quaternion so that its up vector aligns with the earth.
+     * @returns {Quaternion}
+     */
+    alignToVertical()
+    {
+        // L = V×H / |V×H| and U = H×L
+        let curHead = this.headingVector;
+        let curUp = this.upVector;
+        // Can we take a shortcut and just align the side vectors?
+        let l = new Vector3(curHead.z, 0, -curHead.x);
+        let n = l.length;
+        if(n == 0)
+            return this;
+        l /= n;
+        let newUp = new Vector3(
+            curHead.y * l.z - curHead.z * l.y,
+            curHead.z * l.x - curHead.x * l.z,
+            curHead.x * l.y - curHead.y * l.x,
+        );
+        if(newUp.y < 0)
+            newUp = -newUp;
+        log(`${curUp}\n\t--> ${newUp}`);
+        return this.rotateFrom(curUp, newUp);
+    }
     /**
      * Returns the quaternion's string representation.
-     * @returns {string} the string.
+     * @returns {string}
      */
     toString()
     {
@@ -1628,6 +1673,9 @@ class Renderer
          * @public stay away from me.
          */
         this.ori = this.upright ? uprightQuat : new Quaternion();
+        log(this.ori.headingVector.toString());
+        log(this.ori.upVector.toString());
+        log(this.ori.sideVector.toString());
         /**
          * @type {string[]} stores the system's every level.
          * @public don't touch me.
@@ -1905,7 +1953,7 @@ class Renderer
      */
     forward()
     {
-        this.state += this.ori.rotVector;
+        this.state += this.ori.headingVector;
     }
     /**
      * Ticks the clock.
@@ -2006,7 +2054,10 @@ class Renderer
                             this.ori);
                             break;
                         case '|':
-                            this.ori = ZAxisQuat.mul(this.ori);
+                            this.ori = zUpQuat.mul(this.ori);
+                            break;
+                        case '$':
+                            this.ori = this.ori.alignToVertical();
                             break;
                         case 'T':
                             this.ori = this.ori.applyTropism(
@@ -2169,7 +2220,10 @@ class Renderer
                         this.ori = this.system.rotations.get('/').mul(this.ori);
                         break;
                     case '|':
-                        this.ori = ZAxisQuat.mul(this.ori);
+                        this.ori = zUpQuat.mul(this.ori);
+                        break;
+                    case '$':
+                        this.ori = this.ori.alignToVertical();
                         break;
                     case 'T':
                         this.ori = this.ori.applyTropism(this.system.tropism);
@@ -2788,8 +2842,9 @@ class Measurer
 
 // const sidewayQuat = new Quaternion(1, 0, 0, 0);
 const uprightQuat = new Quaternion(Math.sqrt(2)/2, 0, 0, -Math.sqrt(2)/2);
-const XAxisQuat = new Quaternion(0, 1, 0, 0);
-const ZAxisQuat = new Quaternion(0, 0, 0, 1);
+const xUpQuat = new Quaternion(0, 1, 0, 0);
+const yUpQuat = new Quaternion(0, 0, 1, 0);
+const zUpQuat = new Quaternion(0, 0, 0, 1);
 
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
 let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');

From 164c285db975578ae21d03e3f989b3649d5a5a38 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 21 Feb 2023 15:56:30 +0700
Subject: [PATCH 36/94] Implemented vertical alignment

---
 TODO.md     |  3 ++-
 renderer.js | 59 ++++++++++++++++++++++++++++-------------------------
 2 files changed, 33 insertions(+), 29 deletions(-)

diff --git a/TODO.md b/TODO.md
index 9d67ea4..c1b4a45 100644
--- a/TODO.md
+++ b/TODO.md
@@ -43,12 +43,13 @@
   - [x] Separate starting quaternions for upright and sideways
     - Stop swizzling!
     - Tropism is still the same direction, so we can simulate sideways vines
-- [ ] Investigate vertical heading (`$`) (NOT helio-tropism)
+- [x] Investigate vertical heading (`$`) (NOT helio-tropism)
   - Houdini: $(x,y,z)
   Rotates the turtle so the up vector is (0,1,0). Points the turtle in the direction of the point (x,y,z). Default behavior is only to orient and not to change the direction.
   - Abop: The symbol $ rolls the turtle around its own axis so that vector L pointing to the left of the turtle is brought to a horizontal position. Consequently, the branch plane is “closest to a horizontal plane,” as required by Honda’s model. From a technical point of view, $ modifies the turtle orientation in space according to the formulae
   L = V × H / |V × H| and U = H × L,
   where vectors H, L and U are the heading (`\ /`), left (`& ^`) and up (`+ -`) vectors associated with the turtle, V is the direction opposite to gravity, and |A| denotes the length of vector A.
+  - main: roll the turtle around the H axis so that H and U lie in a common vertical plane with U closest to up
 - [ ] Add T and $ to gude
 
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
diff --git a/renderer.js b/renderer.js
index e426a4e..9d85fb7 100644
--- a/renderer.js
+++ b/renderer.js
@@ -210,7 +210,7 @@ const locStrings =
         labelRules: 'Production rules: {0}',
         labelIgnored: 'Ignored symbols: ',
         labelTropism: 'Tropism (gravity): ',
-        labelSeed: 'Seed (non-zero): ',
+        labelSeed: 'Seed: ',
 
         menuRenderer: 'Renderer Menu',
         labelInitScale: '* Initial scale: ',
@@ -1177,16 +1177,15 @@ class Quaternion
     {
         let dp = src.x * dst.x + src.y * dst.y +
         src.z * dst.z;
-        let axis;
+        let rotAxis;
         if(dp < -1 + 1e-8)
         {
             /* Edge case
-            If the two vectors are in opposite directions, just do the sensible
-            thing.
+            If the two vectors are in opposite directions, just reverse.
             */
             return zUpQuat.mul(this);
         }
-        axis = new Vector3(
+        rotAxis = new Vector3(
             src.y * dst.z - src.z * dst.y,
             src.z * dst.x - src.x * dst.z,
             src.x * dst.y - src.y * dst.x,
@@ -1195,10 +1194,10 @@ class Quaternion
         // I forgore that our quaternions have to be all negative, dunnoe why
         return new Quaternion(
             -s / 2,
-            axis.x / s,
-            axis.y / s,
-            axis.z / s
-        ).mul(this);
+            rotAxis.x / s,
+            rotAxis.y / s,
+            rotAxis.z / s
+        ).mul(this).normalise;
     }
     /**
      * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
@@ -1220,29 +1219,33 @@ class Quaternion
         return this.rotateFrom(curHead, newHead);
     }
     /**
+     * https://gamedev.stackexchange.com/questions/198977/how-to-solve-for-the-angle-of-a-axis-angle-rotation-that-gets-me-closest-to-a-sp/199027#199027
      * Rolls the quaternion so that its up vector aligns with the earth.
      * @returns {Quaternion}
      */
     alignToVertical()
     {
-        // L = V×H / |V×H| and U = H×L
+        // L = V×H / |V×H|
         let curHead = this.headingVector;
         let curUp = this.upVector;
-        // Can we take a shortcut and just align the side vectors?
-        let l = new Vector3(curHead.z, 0, -curHead.x);
-        let n = l.length;
+        let side = new Vector3(curHead.z, 0, -curHead.x);
+        let n = side.length;
         if(n == 0)
             return this;
-        l /= n;
+        side /= n;
+        // U = HxL
         let newUp = new Vector3(
-            curHead.y * l.z - curHead.z * l.y,
-            curHead.z * l.x - curHead.x * l.z,
-            curHead.x * l.y - curHead.y * l.x,
+            curHead.y * side.z - curHead.z * side.y,
+            curHead.z * side.x - curHead.x * side.z,
+            curHead.x * side.y - curHead.y * side.x,
         );
-        if(newUp.y < 0)
-            newUp = -newUp;
-        log(`${curUp}\n\t--> ${newUp}`);
-        return this.rotateFrom(curUp, newUp);
+        let a = Math.atan2(
+            curUp.x * side.x + curUp.y * side.y + curUp.z * side.z,
+            curUp.x * newUp.x + curUp.y * newUp.y + newUp.z * newUp.z,
+        ) / 2;
+        let s = Math.sin(a);
+        let c = Math.cos(a);
+        return new Quaternion(-c, s, 0, 0).mul(this).normalise;
     }
     /**
      * Returns the quaternion's string representation.
@@ -1402,12 +1405,12 @@ class LSystem
          * @public but shouldn't be.
          */
         this.rotations = new Map();
-        this.rotations.set('+', new Quaternion(c, 0, 0, -s));
-        this.rotations.set('-', new Quaternion(c, 0, 0, s));
-        this.rotations.set('&', new Quaternion(c, 0, -s, 0));
-        this.rotations.set('^', new Quaternion(c, 0, s, 0));
-        this.rotations.set('\\', new Quaternion(c, -s, 0, 0));
-        this.rotations.set('/', new Quaternion(c, s, 0, 0));
+        this.rotations.set('+', new Quaternion(-c, 0, 0, s));
+        this.rotations.set('-', new Quaternion(-c, 0, 0, -s));
+        this.rotations.set('&', new Quaternion(-c, 0, s, 0));
+        this.rotations.set('^', new Quaternion(-c, 0, -s, 0));
+        this.rotations.set('\\', new Quaternion(-c, s, 0, 0));
+        this.rotations.set('/', new Quaternion(-c, -s, 0, 0));
 
         this.tropism = tropism;
     }
@@ -2841,7 +2844,7 @@ class Measurer
 }
 
 // const sidewayQuat = new Quaternion(1, 0, 0, 0);
-const uprightQuat = new Quaternion(Math.sqrt(2)/2, 0, 0, -Math.sqrt(2)/2);
+const uprightQuat = new Quaternion(-Math.sqrt(2)/2, 0, 0, Math.sqrt(2)/2);
 const xUpQuat = new Quaternion(0, 1, 0, 0);
 const yUpQuat = new Quaternion(0, 0, 1, 0);
 const zUpQuat = new Quaternion(0, 0, 0, 1);

From 58484b419d45c25eb3bc6e47b874449db400724b Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 21 Feb 2023 16:24:05 +0700
Subject: [PATCH 37/94] Added T and $ to guide

---
 TODO.md                   |  3 ++-
 renderer.js => classic.js | 40 +++++++++++++++++++--------------------
 2 files changed, 22 insertions(+), 21 deletions(-)
 rename renderer.js => classic.js (99%)

diff --git a/TODO.md b/TODO.md
index c1b4a45..ab771c3 100644
--- a/TODO.md
+++ b/TODO.md
@@ -50,7 +50,7 @@
   L = V × H / |V × H| and U = H × L,
   where vectors H, L and U are the heading (`\ /`), left (`& ^`) and up (`+ -`) vectors associated with the turtle, V is the direction opposite to gravity, and |A| denotes the length of vector A.
   - main: roll the turtle around the H axis so that H and U lie in a common vertical plane with U closest to up
-- [ ] Add T and $ to gude
+- [x] Add T and $ to gude
 
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
@@ -66,6 +66,7 @@
     - Buttons in LS menu to move up down (swap rules)
       - How to update rule entries?
   - [ ] Regex magic to separate string into actual sequence of symbols
+  - [ ] Issue: regex for nested brackets in parameters?
   - Equal comparison changed to `==` instead of `=` in abop to differentiate
   from the syntax
   - Store as an extra array of objects
diff --git a/renderer.js b/classic.js
similarity index 99%
rename from renderer.js
rename to classic.js
index 9d85fb7..6c73a60 100644
--- a/renderer.js
+++ b/classic.js
@@ -225,7 +225,7 @@ const locStrings =
         labelUpright: '* Upright figure: ',
         labelBTTail: 'Draw tail end: ',
         labelLoadModels: '* (Teaser) Load models: ',
-        labelQuickdraw: '* Quickdraw (unstable): ',
+        labelQuickdraw: '* Quickdraw: ',
         labelQuickBT: '* Quick backtrack: ',
         labelHesitate: '* Stutter on backtrack: ',
         labelHesitateApex: '* Stutter at apex: ',
@@ -268,9 +268,9 @@ const locStrings =
             {
                 title: 'Introduction',
                 contents:
-`Welcome to the L-systems Renderer! This guide aims to help you understand ` +
-`the basics of L-systems, as well as instructions on how to effectively use ` +
-`this theory to construct and render them.
+`Welcome to the (Classic) L-systems Renderer! This guide aims to help you ` +
+`understand the basics of L-systems, as well as instructions on how to ` +
+`effectively use this theory to construct and render them.
 
 Let's start discovering the wonders of L-systems.`
             },
@@ -310,6 +310,8 @@ Menu buttons: You pressed on one of them to get here, did you?
 - Production rules: an unlimited number of rules can be added using the ` +
 `'Add' button.
 - Ignored symbols: the turtle will stand still when encountering these symbols.
+- Tropism (gravity): determines the amount of gravity applied by the tropism ` +
+`(T) command. A negative value will instead lift the branch upwards.
 - Seed: the seed for a stochastic system can be rerolled or manually set.
 
 Note: Any blank rules will be trimmed afterwards.`
@@ -338,7 +340,7 @@ Renderer logic:
 `sequence.
 
 Advanced stroke options:
-- Quickdraw (unstable): skips over straight consecutive segments.
+- Quickdraw: skips over straight consecutive segments.
 - Quick backtrack: works similarly, but on the way back.
 - Stutter at apex: pause for one tick at the tips of lines.
 - Stutter at node: pause for one tick after backtracking through branches.`
@@ -416,8 +418,8 @@ F: moves turtle forward to draw a line of length 1.
 Note: In the original grammar, the lower-case f is used to move the turtle ` +
 `forward without drawing anything, but that is simply impossible with this ` +
 `game's 3D graph. So in this theory, any non-reserved symbol will draw a ` +
-`line. This includes both upper- and lower-case letters, and potentially ` +
-`anything you can throw at it.`
+`line. This includes both upper- and lower-case letters (except T), and ` +
+`potentially anything you can throw at it.`
             },
             {
                 title: 'Example: The dragon curve',
@@ -461,7 +463,7 @@ Scale: 2^lv
 Centre: (0.5*2^lv, sqrt(3)/4*2^lv, 0)`
             },
             {
-                title: 'Stacking mechanism',
+                title: 'Branching mechanisms',
                 contents:
 `Although numerous fractals can be created using only the basic symbols, ` +
 `when it comes to modelling branching structures such as trees, the turtle ` +
@@ -473,8 +475,8 @@ Stack operations are represented with square brackets:
 [: records the turtle's position and facing onto a stack.
 ]: take the topmost element (position and facing) off the stack, and move ` +
 `the turtle there.
-%: cuts off the remainder of its branch by searching for the closing bracket ` +
-`] in the branch.
+%: cuts off the remainder of a branch, by deleting every symbol up until ` +
+`the closing bracket ] in the branch.
 
 Note: Due to the game's 3D graph only allowing one continuous path to be ` +
 `drawn, the turtle will not actually divide itself, but instead backtrack ` +
@@ -561,7 +563,14 @@ Centre: (0, 0, 0)`
 + -: rotate turtle on the z-axis (yaw).
 & ^: rotate turtle on the y-axis (pitch).
 \\ /: rotate turtle on the x-axis (roll).
-|: reverses turtle direction.
+
+|: reverses the turtle's direction.
+T: applies a force of gravity (tropism) to the turtle's current heading, so ` +
+`that it droops downward (with a positive tropism factor), or heads upward ` +
+`(with a negative tropism factor).
+$: rolls the turtle around its own axis, so that its up vector is closest to ` +
+`absolute verticality i.e. the y-axis, and subsequently, its direction is ` +
+`closest to lying on a horizontal plane.
 
 Note: In other L-system implementations, < and > may be used instead of \\ ` +
 `and / like in this theory.
@@ -1676,9 +1685,6 @@ class Renderer
          * @public stay away from me.
          */
         this.ori = this.upright ? uprightQuat : new Quaternion();
-        log(this.ori.headingVector.toString());
-        log(this.ori.upVector.toString());
-        log(this.ori.sideVector.toString());
         /**
          * @type {string[]} stores the system's every level.
          * @public don't touch me.
@@ -2008,9 +2014,6 @@ class Renderer
         let loopLimit = 2;  // Shenanigans may arise with models? Try this
         for(j = 0; j < loopLimit; ++j)
         {
-            // log(`${Math.round(this.elapsed)}, ${this.i} ` +
-            // `${this.levels[this.lv][this.i]} (-${this.cooldown}): ` +
-            // `${this.stack.length} stacked`)
             if(this.cooldown > 0 && this.polygonMode <= 0)
             {
                 --this.cooldown;
@@ -2019,8 +2022,6 @@ class Renderer
 
             if(this.models.length > 0)
             {
-                // log(this.models.toString());
-                // log(this.mdi.toString());
                 // Unreadable pile of shit
                 for(; this.mdi[this.mdi.length - 1] <
                 this.models[this.models.length - 1].length;
@@ -2349,7 +2350,6 @@ class Renderer
             }
             if(!this.backtrackTail || this.stack.length == 0)
             {
-                // log(this.stateString)
                 switch(this.loopMode)
                 {
                     case 2:

From a8a93ff61a76c4f99c1a5cf9d1af6d059a728f85 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 21 Feb 2023 17:28:31 +0700
Subject: [PATCH 38/94] Removed models argument from LSystem

---
 TODO.md               | 27 +++++++++++++--------------
 classic.js            | 20 ++++++++------------
 parametric_lsystem.js |  3 +--
 3 files changed, 22 insertions(+), 28 deletions(-)

diff --git a/TODO.md b/TODO.md
index ab771c3..b20f326 100644
--- a/TODO.md
+++ b/TODO.md
@@ -20,7 +20,6 @@
 - [ ] Folders for saved systems
 - [ ] Compress internal state? LZW, LZP
 - [ ] Ask Gilles about changing the spline used in 3D graph
-- [ ] How about locking rotation? (for Navier Stokes)
 
 ## 1.0, Mistletoe ed.
 
@@ -39,24 +38,12 @@
   - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
   - [ ] Button to change mode between degrees and radians
 
-- [x] Investigate tropism (capital T)
-  - [x] Separate starting quaternions for upright and sideways
-    - Stop swizzling!
-    - Tropism is still the same direction, so we can simulate sideways vines
-- [x] Investigate vertical heading (`$`) (NOT helio-tropism)
-  - Houdini: $(x,y,z)
-  Rotates the turtle so the up vector is (0,1,0). Points the turtle in the direction of the point (x,y,z). Default behavior is only to orient and not to change the direction.
-  - Abop: The symbol $ rolls the turtle around its own axis so that vector L pointing to the left of the turtle is brought to a horizontal position. Consequently, the branch plane is “closest to a horizontal plane,” as required by Honda’s model. From a technical point of view, $ modifies the turtle orientation in space according to the formulae
-  L = V × H / |V × H| and U = H × L,
-  where vectors H, L and U are the heading (`\ /`), left (`& ^`) and up (`+ -`) vectors associated with the turtle, V is the direction opposite to gravity, and |A| denotes the length of vector A.
-  - main: roll the turtle around the H axis so that H and U lie in a common vertical plane with U closest to up
-- [x] Add T and $ to gude
-
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Stochastic in PLSR: has to be on the same line
 
 - [ ] Parametric systems
+  - [ ] New option in constructor for MathExpression variables
   - Different classes
     - Button in LS menu / save menu to switch modes?
     - Theory settings?
@@ -92,6 +79,18 @@
 
 ## 1.0: Completed
 
+- [x] Investigate tropism (capital T)
+  - [x] Separate starting quaternions for upright and sideways
+    - Stop swizzling!
+    - Tropism is still the same direction, so we can simulate sideways vines
+- [x] Investigate vertical heading (`$`) (NOT helio-tropism)
+  - Houdini: $(x,y,z)
+  Rotates the turtle so the up vector is (0,1,0). Points the turtle in the direction of the point (x,y,z). Default behavior is only to orient and not to change the direction.
+  - Abop: The symbol $ rolls the turtle around its own axis so that vector L pointing to the left of the turtle is brought to a horizontal position. Consequently, the branch plane is “closest to a horizontal plane,” as required by Honda’s model. From a technical point of view, $ modifies the turtle orientation in space according to the formulae
+  L = V × H / |V × H| and U = H × L,
+  where vectors H, L and U are the heading (`\ /`), left (`& ^`) and up (`+ -`) vectors associated with the turtle, V is the direction opposite to gravity, and |A| denotes the length of vector A.
+  - main: roll the turtle around the H axis so that H and U lie in a common vertical plane with U closest to up
+- [x] Add T and $ to gude
 - [x] Issue: models are broken because of backtrack rework
 - [x] Change how models work:
   - Stochastic models are no longer available
diff --git a/classic.js b/classic.js
index 6c73a60..eeb056e 100644
--- a/classic.js
+++ b/classic.js
@@ -1280,7 +1280,7 @@ class LSystem
      * systems.
      */
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '', models = {}, tropism = 0.5)
+    ignoreList = '', tropism = 0.5)
     {
         this.userInput =
         {
@@ -1289,7 +1289,6 @@ class LSystem
             turnAngle: turnAngle,
             seed: seed,
             ignoreList: ignoreList,
-            models: models,
             tropism: tropism
         };
         /**
@@ -1304,8 +1303,6 @@ class LSystem
          */
         this.ignoreList = new Set(ignoreList);
         this.models = new Map();
-        for(let key in models)
-            this.models.set(key, models[key]);
 
         for(let i = 0; i < rules.length; ++i)
         {
@@ -1560,7 +1557,6 @@ class LSystem
             turnAngle: this.userInput.turnAngle,
             seed: this.userInput.seed,
             ignoreList: this.userInput.ignoreList,
-            models: this.userInput.models,
             tropism: this.userInput.tropism
         };
     }
@@ -2233,7 +2229,7 @@ class Renderer
                         this.ori = this.ori.applyTropism(this.system.tropism);
                         break;
                     case '~':
-                        if(!this.system.models.has(
+                        if(!this.loadModels || !this.system.models.has(
                         this.levels[this.lv][this.i + 1]))
                             break;
 
@@ -4123,7 +4119,7 @@ let createSystemMenu = () =>
                                 Sound.playClick();
                                 renderer.constructSystem = new LSystem(tmpAxiom,
                                 tmpRules, tmpAngle, tmpSeed, tmpIgnore,
-                                undefined, tmpTropism);
+                                tmpTropism);
                                 if(tmpSystem)
                                 {
                                     tmpSystem = null;
@@ -4372,7 +4368,7 @@ let createSystemClipboardMenu = (values) =>
                         tmpSystemDesc = sv.desc;
                         renderer.constructSystem = new LSystem(sv.system.axiom,
                         sv.system.rules, sv.system.turnAngle,
-                        sv.system.seed, sv.system.ignoreList, undefined,
+                        sv.system.seed, sv.system.ignoreList,
                         sv.system.tropism);
                         tmpSystem = null;
                         if('config' in sv)
@@ -4828,7 +4824,7 @@ let createViewMenu = (title) =>
                                 Sound.playClick();
                                 renderer.constructSystem = new LSystem(tmpAxiom,
                                 tmpRules, tmpAngle, tmpSeed, tmpIgnore,
-                                undefined, tmpTropism);
+                                tmpTropism);
                                 tmpSystem = null;
                                 renderer.configureStaticCamera(tmpZE, tmpCX,
                                 tmpCY, tmpCZ, tmpUpright);
@@ -4849,8 +4845,8 @@ let createViewMenu = (title) =>
                                 {
                                     desc: tmpDesc,
                                     system: new LSystem(tmpAxiom, tmpRules,
-                                    tmpAngle, tmpSeed, tmpIgnore, undefined,
-                                    tmpTropism).object,
+                                    tmpAngle, tmpSeed, tmpIgnore, tmpTropism).
+                                    object,
                                     config: [tmpZE, tmpCX, tmpCY, tmpCZ,
                                     tmpUpright]
                                 });
@@ -5639,7 +5635,7 @@ var setInternalState = (stateStr) =>
             tmpSystemDesc = state.system.desc;
             tmpSystem = new LSystem(state.system.axiom, state.system.rules,
             state.system.turnAngle, state.system.seed, state.system.ignoreList,
-            undefined, state.system.tropism);
+            state.system.tropism);
         }
         
         if('renderer' in state)
diff --git a/parametric_lsystem.js b/parametric_lsystem.js
index d35ef4e..9a6ff73 100644
--- a/parametric_lsystem.js
+++ b/parametric_lsystem.js
@@ -9,7 +9,7 @@ const LS_CONTEXT =
 class ParametricLSystem
 {
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '', models = {})
+    ignoreList = '')
     {
         // User input
         this.userInput =
@@ -19,7 +19,6 @@ class ParametricLSystem
             turnAngle: turnAngle,
             seed: seed,
             ignoreList: ignoreList,
-            models: models
         };
         // Use regex magic to separate
         let axiomMatches = [...axiom.replace(TRIM_SP, '').matchAll(LS_SYMBOL)];

From 2cb21df18fc95afbdf0c85479b4d6b725f5c2ded Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 21 Feb 2023 17:48:29 +0700
Subject: [PATCH 39/94] Added the loadModels switch for Renderer

---
 classic.js | 17 ++++++++++-------
 1 file changed, 10 insertions(+), 7 deletions(-)

diff --git a/classic.js b/classic.js
index eeb056e..48ed670 100644
--- a/classic.js
+++ b/classic.js
@@ -224,7 +224,7 @@ const locStrings =
         loopModes: ['Off', 'Level', 'Playlist'],
         labelUpright: '* Upright figure: ',
         labelBTTail: 'Draw tail end: ',
-        labelLoadModels: '* (Teaser) Load models: ',
+        labelLoadModels: '* Load models: ',
         labelQuickdraw: '* Quickdraw: ',
         labelQuickBT: '* Quick backtrack: ',
         labelHesitate: '* Stutter on backtrack: ',
@@ -1344,8 +1344,6 @@ class LSystem
                             this.models.set(rs[0][1], [existingDer, rs[1]]);
                         else
                             this.models.set(rs[0][1], [...existingDer, rs[1]]);
-
-                        this.ignoreList.add(rs[0][1]);
                     }
                 }
                 else    // Stochastic rule
@@ -1372,8 +1370,6 @@ class LSystem
                             this.models.set(rs[0][1], [existingDer, rder]);
                         else
                             this.models.set(rs[0][1], [...existingDer, rder]);
-
-                        this.ignoreList.add(rs[0][1]);
                     }
                 }
             }
@@ -2146,6 +2142,9 @@ class Renderer
 
                             let ignored = this.system.ignoreList.has(
                             this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]]) ||
+                            this.loadModels && this.system.models.has(
+                            this.models[this.models.length - 1][
                             this.mdi[this.mdi.length - 1]]);
                             let breakAhead = this.backtrackList.has(
                             this.models[this.models.length - 1][
@@ -2308,7 +2307,8 @@ class Renderer
                         }
 
                         let ignored = this.system.ignoreList.has(
-                        this.levels[this.lv][this.i]);
+                        this.levels[this.lv][this.i]) || this.loadModels &&
+                        this.system.models.has(this.levels[this.lv][this.i]);
                         let breakAhead = this.backtrackList.has(
                         this.levels[this.lv][this.i + 1]);
                         let btAhead = this.levels[this.lv][this.i + 1] == ']' ||
@@ -3739,6 +3739,7 @@ let createConfigMenu = () =>
                             ({
                                 rowDefinitions:
                                 [
+                                    SMALL_BUTTON_HEIGHT,
                                     SMALL_BUTTON_HEIGHT,
                                     SMALL_BUTTON_HEIGHT
                                 ],
@@ -3755,7 +3756,9 @@ let createConfigMenu = () =>
                                         verticalTextAlignment:
                                         TextAlignment.CENTER
                                     }),
-                                    tailSwitch
+                                    tailSwitch,
+                                    modelLabel,
+                                    modelSwitch
                                 ]
                             }),
                             ui.createBox

From 0ac6554fc2f8fd15d50ab8a8b2b821800965ccad Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 21 Feb 2023 18:15:52 +0700
Subject: [PATCH 40/94] Separated angle entry from axiom entry

---
 classic.js | 66 +++++++++++++++++++++++++++---------------------------
 1 file changed, 33 insertions(+), 33 deletions(-)

diff --git a/classic.js b/classic.js
index 48ed670..efd277e 100644
--- a/classic.js
+++ b/classic.js
@@ -210,7 +210,7 @@ const locStrings =
         labelRules: 'Production rules: {0}',
         labelIgnored: 'Ignored symbols: ',
         labelTropism: 'Tropism (gravity): ',
-        labelSeed: 'Seed: ',
+        labelSeed: 'Seed (≠ 0): ',
 
         menuRenderer: 'Renderer Menu',
         labelInitScale: '* Initial scale: ',
@@ -3901,8 +3901,8 @@ let createSystemMenu = () =>
     ({
         text: tmpAngle.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 0,
-        column: 3,
+        row: 1,
+        column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
         {
@@ -3974,7 +3974,7 @@ let createSystemMenu = () =>
     ({
         text: tmpTropism.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 1,
+        row: 2,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -3985,7 +3985,7 @@ let createSystemMenu = () =>
     let tmpSeed = values.seed;
     let seedLabel = ui.createGrid
     ({
-        row: 2,
+        row: 3,
         column: 0,
         columnDefinitions: ['40*', '30*'],
         children:
@@ -4013,7 +4013,7 @@ let createSystemMenu = () =>
     ({
         text: tmpSeed.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 2,
+        row: 3,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4038,7 +4038,7 @@ let createSystemMenu = () =>
                         [
                             ui.createGrid
                             ({
-                                columnDefinitions: ['20*', '40*', '25*', '15*'],
+                                columnDefinitions: ['20*', '80*'],
                                 children:
                                 [
                                     ui.createLatexLabel
@@ -4050,15 +4050,6 @@ let createSystemMenu = () =>
                                         TextAlignment.CENTER
                                     }),
                                     axiomEntry,
-                                    ui.createLatexLabel
-                                    ({
-                                        text: getLoc('labelAngle'),
-                                        row: 0,
-                                        column: 2,
-                                        verticalTextAlignment:
-                                        TextAlignment.CENTER
-                                    }),
-                                    angleEntry,
                                 ]
                             }),
                             ui.createGrid
@@ -4087,12 +4078,21 @@ let createSystemMenu = () =>
                                     ignoreEntry,
                                     ui.createLatexLabel
                                     ({
-                                        text: getLoc('labelTropism'),
+                                        text: getLoc('labelAngle'),
                                         row: 1,
                                         column: 0,
                                         verticalTextAlignment:
                                         TextAlignment.CENTER
                                     }),
+                                    angleEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelTropism'),
+                                        row: 2,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
                                     tropismEntry,
                                     seedLabel,
                                     seedEntry
@@ -4554,8 +4554,8 @@ let createViewMenu = (title) =>
     ({
         text: tmpAngle.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 0,
-        column: 3,
+        row: 1,
+        column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
         {
@@ -4629,7 +4629,7 @@ let createViewMenu = (title) =>
     ({
         text: tmpTropism.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 1,
+        row: 2,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4640,7 +4640,7 @@ let createViewMenu = (title) =>
     let tmpSeed = values.seed || 0;
     let seedLabel = ui.createGrid
     ({
-        row: 2,
+        row: 3,
         column: 0,
         columnDefinitions: ['40*', '30*'],
         children:
@@ -4668,7 +4668,7 @@ let createViewMenu = (title) =>
     ({
         text: tmpSeed.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 2,
+        row: 3,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4701,7 +4701,7 @@ let createViewMenu = (title) =>
                             }),
                             ui.createGrid
                             ({
-                                columnDefinitions: ['20*', '40*', '25*', '15*'],
+                                columnDefinitions: ['20*', '80*'],
                                 children:
                                 [
                                     ui.createLatexLabel
@@ -4713,15 +4713,6 @@ let createViewMenu = (title) =>
                                         TextAlignment.CENTER
                                     }),
                                     axiomEntry,
-                                    ui.createLatexLabel
-                                    ({
-                                        text: getLoc('labelAngle'),
-                                        row: 0,
-                                        column: 2,
-                                        verticalTextAlignment:
-                                        TextAlignment.CENTER
-                                    }),
-                                    angleEntry
                                 ]
                             }),
                             ui.createGrid
@@ -4750,12 +4741,21 @@ let createViewMenu = (title) =>
                                     ignoreEntry,
                                     ui.createLatexLabel
                                     ({
-                                        text: getLoc('labelTropism'),
+                                        text: getLoc('labelAngle'),
                                         row: 1,
                                         column: 0,
                                         verticalTextAlignment:
                                         TextAlignment.CENTER
                                     }),
+                                    angleEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelTropism'),
+                                        row: 2,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
                                     tropismEntry,
                                     seedLabel,
                                     seedEntry

From 2d923f09eaa6878211c3064784f86a3a265ad9d5 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 21 Feb 2023 21:52:53 +0700
Subject: [PATCH 41/94] Implemented Abop-accurate tropism

---
 TODO.md    |  7 +++++--
 classic.js | 52 ++++++++++++++++++++++++++++++++++++++++++----------
 2 files changed, 47 insertions(+), 12 deletions(-)

diff --git a/TODO.md b/TODO.md
index b20f326..a418c0b 100644
--- a/TODO.md
+++ b/TODO.md
@@ -34,9 +34,11 @@
   - [x] Classic LS: displays the entire string in a label
   - Parametric LS: displays symbols and parameters side by side, one symbol/row
 
-- [ ] Turning angles
+- [ ] Investigate actual tropism formula
+
+- [ ] Turning angles (and tropism)
   - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
-  - [ ] Button to change mode between degrees and radians
+  - [ ] Button to change mode between degrees and radians?
 
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
@@ -83,6 +85,7 @@
   - [x] Separate starting quaternions for upright and sideways
     - Stop swizzling!
     - Tropism is still the same direction, so we can simulate sideways vines
+    - Houdini: Apply tropism vector (gravity). This angles the turtle towards the negative Y axis. The amount of change is governed by g. The default change is to use the Gravity parameter.
 - [x] Investigate vertical heading (`$`) (NOT helio-tropism)
   - Houdini: $(x,y,z)
   Rotates the turtle so the up vector is (0,1,0). Points the turtle in the direction of the point (x,y,z). Default behavior is only to orient and not to change the direction.
diff --git a/classic.js b/classic.js
index efd277e..6492bea 100644
--- a/classic.js
+++ b/classic.js
@@ -312,7 +312,7 @@ Menu buttons: You pressed on one of them to get here, did you?
 - Ignored symbols: the turtle will stand still when encountering these symbols.
 - Tropism (gravity): determines the amount of gravity applied by the tropism ` +
 `(T) command. A negative value will instead lift the branch upwards.
-- Seed: the seed for a stochastic system can be rerolled or manually set.
+- Seed: the seed for a stochastic system. Can be manually set or rerolled.
 
 Note: Any blank rules will be trimmed afterwards.`
             },
@@ -567,7 +567,8 @@ Centre: (0, 0, 0)`
 |: reverses the turtle's direction.
 T: applies a force of gravity (tropism) to the turtle's current heading, so ` +
 `that it droops downward (with a positive tropism factor), or heads upward ` +
-`(with a negative tropism factor).
+`(with a negative tropism factor). This factor should be in the range from ` +
+`-1 to 1.
 $: rolls the turtle around its own axis, so that its up vector is closest to ` +
 `absolute verticality i.e. the y-axis, and subsequently, its direction is ` +
 `closest to lying on a horizontal plane.
@@ -1177,7 +1178,7 @@ class Quaternion
         return new Vector3(r.i, r.j, r.k);
     }
     /**
-     * Rotate from a heading vector to another.
+     * (Deprecated) Rotate from a heading vector to another. Inaccurate!
      * @param {Vector3} src the current heading.
      * @param {Vector3} dst the target heading.
      * @returns {Quaternion}
@@ -1210,22 +1211,53 @@ class Quaternion
     }
     /**
      * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
-     * Applies a gravi-tropism vector to the quaternion.
-     * @param {number} weight the vector's weight (negative for upwards).
+     * (Deprecated) Applies a gravi-tropism vector to the quaternion. Inaccurat!
+     * @param {number} weight the vector's length (negative for upwards).
      * @returns {Quaternion}
      */
-    applyTropism(weight = 0)
+    applyTropismVector(weight = 0)
     {
         if(weight == 0)
             return this;
-        
+
         let curHead = this.headingVector;
         let newHead = curHead - new Vector3(0, weight, 0);
+        log(`${curHead}\n\t--> ${newHead}`)
         let n = newHead.length;
         if(n == 0)
             return this;
         newHead /= n;
-        return this.rotateFrom(curHead, newHead);
+        let result = this.rotateFrom(curHead, newHead);
+        log(`Expected: ${newHead}\nActual: ${result.headingVector}`);
+        return result;
+    }
+    /**
+     * Applies a gravi-tropism vector to the quaternion.
+     * @param {number} weight the branch's susceptibility to bending.
+     * @returns {Quaternion}
+     */
+    applyTropism(weight = 0)
+    {
+        if(weight == 0)
+            return this;
+
+        // a = e * |HxT| (n)
+        let curHead = this.headingVector;
+        let rotAxis = new Vector3(curHead.z, 0, -curHead.x);
+        let n = rotAxis.length;
+        if(n == 0)
+            return this;
+        rotAxis /= n;
+        let a = weight * n / 2;
+        let s = Math.sin(a);
+        let c = Math.cos(a);
+        // I don't know why it works the opposite way this time
+        return this.mul(new Quaternion(
+            -c,
+            rotAxis.x * s,
+            rotAxis.y * s,
+            rotAxis.z * s
+        )).normalise;
     }
     /**
      * https://gamedev.stackexchange.com/questions/198977/how-to-solve-for-the-angle-of-a-axis-angle-rotation-that-gets-me-closest-to-a-sp/199027#199027
@@ -1280,7 +1312,7 @@ class LSystem
      * systems.
      */
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '', tropism = 0.5)
+    ignoreList = '', tropism = 0.25)
     {
         this.userInput =
         {
@@ -4624,7 +4656,7 @@ let createViewMenu = (title) =>
             tmpIgnore = nt;
         }
     });
-    let tmpTropism = values.tropism || 0.5;
+    let tmpTropism = values.tropism || 0.25;
     let tropismEntry = ui.createEntry
     ({
         text: tmpTropism.toString(),

From 1a5e99631b734c7dc44c04893c4b9ce375e348fa Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 22 Feb 2023 00:32:53 +0700
Subject: [PATCH 42/94] Implemented MathExpressions for angle and tropism

---
 TODO.md    |  6 ++----
 classic.js | 61 +++++++++++++++++++++++-------------------------------
 2 files changed, 28 insertions(+), 39 deletions(-)

diff --git a/TODO.md b/TODO.md
index a418c0b..6abf20f 100644
--- a/TODO.md
+++ b/TODO.md
@@ -34,10 +34,8 @@
   - [x] Classic LS: displays the entire string in a label
   - Parametric LS: displays symbols and parameters side by side, one symbol/row
 
-- [ ] Investigate actual tropism formula
-
-- [ ] Turning angles (and tropism)
-  - [ ] Formula expressions allow shenanigans such as `360/7`, mostly
+- [x] Turning angles (and tropism)
+  - Formula expressions allow shenanigans such as `360/7`, mostly
   - [ ] Button to change mode between degrees and radians?
 
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
diff --git a/classic.js b/classic.js
index 6492bea..ba8bf1a 100644
--- a/classic.js
+++ b/classic.js
@@ -1,20 +1,14 @@
 /*
 L-systems Renderer implementation in Exponential Idle.
 
-Disclaimer: The literature around (OL) L-system's symbols is generally not much
-consistent. Therefore, the symbols used here may mean different things in other
-implementations. One such example is that \ and / may be swapped; or that +
-would turn the cursor clockwise instead of counter (as implemented here).
-Another example would be that < and > are used instead of \ and /.
-
-The maths used in this theory do not resemble a paragon of correctness either,
-particularly referencing the horrible butchery of quaternions, and all the
-camera rotation slander in the world. In this theory, the vector is initially
-heading in the X-axis, instead of the Y/Z-axis, which is more common in other
-implementations of L-systems. I'm just a unit circle kind of person.
-
-If the X is the eyes of a laughing face, then the Y represents my waifu Ms. Y,
-and the Z stands for Zombies.
+Disclaimer: Differences between LSR and other L-system implementations all
+around the web.
+- / and \ may be swapped.
+- + turns anti-clockwise, - turns clockwise.
+- \ and / are used instead of < and >.
+- Y-up is used here instead of Z-up.
+- Quaternions are used instead of actually intuitive concepts such as matrices.
+- Quaternions maths are absolutely butchered.
 
 (c) 2022 Temple of Pan (R) (TM) All rights reversed.
 */
@@ -35,7 +29,6 @@ import { Localization } from '../api/Localization';
 import { MathExpression } from '../api/MathExpression';
 import { ClearButtonVisibility } from '../api/ui/properties/ClearButtonVisibility';
 import { LineBreakMode } from '../api/ui/properties/LineBreakMode';
-import { StackOrientation } from '../api/ui/properties/StackOrientation';
 
 var id = 'L_systems_renderer';
 var getName = (language) =>
@@ -1425,7 +1418,7 @@ class LSystem
          * @type {number} the turning angle (in degrees).
          * @public
          */
-        this.turnAngle = turnAngle;
+        this.turnAngle = MathExpression.parse(turnAngle.toString()).evaluate();
         /**
          * @type {number} half the turning angle (in radians).
          * @public
@@ -1446,7 +1439,7 @@ class LSystem
         this.rotations.set('\\', new Quaternion(-c, s, 0, 0));
         this.rotations.set('/', new Quaternion(-c, -s, 0, 0));
 
-        this.tropism = tropism;
+        this.tropism = MathExpression.parse(tropism.toString()).evaluate();
     }
     rerollAxiom()
     {
@@ -3928,17 +3921,16 @@ let createSystemMenu = () =>
             tmpAxiom = nt;
         }
     });
-    let tmpAngle = values.turnAngle;
+    let tmpAngle = values.turnAngle || '0';
     let angleEntry = ui.createEntry
     ({
         text: tmpAngle.toString(),
-        keyboard: Keyboard.NUMERIC,
         row: 1,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
         {
-            tmpAngle = Number(nt);
+            tmpAngle = nt;
         }
     });
     let tmpRules = values.rules;
@@ -4001,20 +3993,19 @@ let createSystemMenu = () =>
             tmpIgnore = nt;
         }
     });
-    let tmpTropism = values.tropism;
+    let tmpTropism = values.tropism || '0';
     let tropismEntry = ui.createEntry
     ({
         text: tmpTropism.toString(),
-        keyboard: Keyboard.NUMERIC,
         row: 2,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
         {
-            tmpTropism = Number(nt);
+            tmpTropism = nt;
         }
     });
-    let tmpSeed = values.seed;
+    let tmpSeed = values.seed || '0';
     let seedLabel = ui.createGrid
     ({
         row: 3,
@@ -4174,14 +4165,14 @@ let createSystemMenu = () =>
                                 Sound.playClick();
                                 let values = new LSystem().object;
                                 axiomEntry.text = values.axiom;
-                                angleEntry.text = values.turnAngle.toString();
+                                angleEntry.text = values.turnAngle;
                                 tmpRules = values.rules;
                                 ruleEntries = [];
                                 rulesLabel.text = Localization.format(
                                 getLoc('labelRules'), ruleEntries.length);
                                 ruleStack.children = ruleEntries;
                                 ignoreEntry.text = values.ignoreList;
-                                tropismEntry.text = values.tropism.toString();
+                                tropismEntry.text = values.tropism;
                                 seedEntry.text = values.seed.toString();
                             }
                         })
@@ -4201,6 +4192,7 @@ let createNamingMenu = () =>
         text: tmpName,
         row: 0,
         column: 1,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
         onTextChanged: (ot, nt) =>
         {
             tmpName = nt;
@@ -4212,6 +4204,7 @@ let createNamingMenu = () =>
         text: tmpDesc,
         row: 0,
         column: 1,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
         onTextChanged: (ot, nt) =>
         {
             tmpDesc = nt;
@@ -4423,7 +4416,7 @@ let createStateClipboardMenu = (values) =>
     let sysEntry = ui.createEntry
     ({
         text: tmpState,
-        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+        // clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
         onTextChanged: (ot, nt) =>
         {
             tmpState = nt;
@@ -4581,17 +4574,16 @@ let createViewMenu = (title) =>
             tmpAxiom = nt;
         }
     });
-    let tmpAngle = values.turnAngle || 0;
+    let tmpAngle = values.turnAngle || '0';
     let angleEntry = ui.createEntry
     ({
         text: tmpAngle.toString(),
-        keyboard: Keyboard.NUMERIC,
         row: 1,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
         {
-            tmpAngle = Number(nt);
+            tmpAngle = nt;
         }
     });
     let tmpRules = [];
@@ -4656,20 +4648,19 @@ let createViewMenu = (title) =>
             tmpIgnore = nt;
         }
     });
-    let tmpTropism = values.tropism || 0.25;
+    let tmpTropism = values.tropism || '0';
     let tropismEntry = ui.createEntry
     ({
         text: tmpTropism.toString(),
-        keyboard: Keyboard.NUMERIC,
         row: 2,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
         {
-            tmpTropism = Number(nt);
+            tmpTropism = nt;
         }
     });
-    let tmpSeed = values.seed || 0;
+    let tmpSeed = values.seed || '0';
     let seedLabel = ui.createGrid
     ({
         row: 3,
@@ -4804,7 +4795,7 @@ let createViewMenu = (title) =>
                                 // horizontalTextAlignment:
                                 // TextAlignment.CENTER,
                                 verticalTextAlignment: TextAlignment.CENTER,
-                                margin: new Thickness(0, 12)
+                                margin: new Thickness(0, 9)
                             }),
                             ui.createGrid
                             ({

From bc0cf8bcb2eaf03e81d2b902d87c1ecaba0ddea2 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 22 Feb 2023 11:51:48 +0700
Subject: [PATCH 43/94] Added buttons to move rules

---
 TODO.md               | 25 ++++++-----
 classic.js            | 96 +++++++++++++++++++++++++++++++++++++++----
 parametric_lsystem.js |  8 +++-
 3 files changed, 107 insertions(+), 22 deletions(-)

diff --git a/TODO.md b/TODO.md
index 6abf20f..532c331 100644
--- a/TODO.md
+++ b/TODO.md
@@ -27,17 +27,6 @@
 - [ ] Add more comments in the code
 - [ ] Update docstrings (done up to Quaternion)
 
-- [x] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
-
-- [ ] Revamp sequence menu
-  - Level 0: 10 chars (`View`)
-  - [x] Classic LS: displays the entire string in a label
-  - Parametric LS: displays symbols and parameters side by side, one symbol/row
-
-- [x] Turning angles (and tropism)
-  - Formula expressions allow shenanigans such as `360/7`, mostly
-  - [ ] Button to change mode between degrees and radians?
-
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Stochastic in PLSR: has to be on the same line
@@ -50,8 +39,6 @@
     - Lemma stages?
   - Make `f` move without returning like `F`
   - Top-down processing priority
-    - Buttons in LS menu to move up down (swap rules)
-      - How to update rule entries?
   - [ ] Regex magic to separate string into actual sequence of symbols
   - [ ] Issue: regex for nested brackets in parameters?
   - Equal comparison changed to `==` instead of `=` in abop to differentiate
@@ -77,8 +64,20 @@
   - If stored by maps: Keys can be any data type.
   - If stored by objects: written in `parametric_lsystem.js`
 
+- [ ] Revamp sequence menu
+  - Level 0: 10 chars (`View`)
+  - [x] Classic LS: displays the entire string in a label
+  - Parametric LS: displays symbols and parameters side by side, one symbol/row
+
+- [x] Turning angles (and tropism)
+  - Formula expressions allow shenanigans such as `360/7`, mostly
+  - [ ] Button to change mode between degrees and radians?
+
 ## 1.0: Completed
 
+- [x] Buttons in LS menu to move up down (swap rules)
+  - How to update rule entries?
+- [x] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
 - [x] Investigate tropism (capital T)
   - [x] Separate starting quaternions for upright and sideways
     - Stop swizzling!
diff --git a/classic.js b/classic.js
index ba8bf1a..bcea298 100644
--- a/classic.js
+++ b/classic.js
@@ -163,6 +163,8 @@ const locStrings =
         btnClear: 'Clear All',
         btnDefault: '* Reset to Defaults',
         btnAdd: 'Add',
+        btnUp: '▲',
+        btnDown: '▼',
         btnReroll: 'Reroll',
         btnConstruct: 'Construct',
         btnDelete: 'Delete',
@@ -3935,10 +3937,13 @@ let createSystemMenu = () =>
     });
     let tmpRules = values.rules;
     let ruleEntries = [];
+    let ruleMoveBtns = [];
     for(let i = 0; i < tmpRules.length; ++i)
     {
         ruleEntries.push(ui.createEntry
         ({
+            row: i,
+            column: 0,
             text: tmpRules[i],
             clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
             onTextChanged: (ot, nt) =>
@@ -3946,6 +3951,23 @@ let createSystemMenu = () =>
                 tmpRules[i] = nt;
             }
         }));
+        if(i)
+        {
+            ruleMoveBtns.push(ui.createButton
+            ({
+                row: i,
+                column: 1,
+                text: getLoc('btnUp'),
+                heightRequest: SMALL_BUTTON_HEIGHT,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    let tmpRule = ruleEntries[i].text;
+                    ruleEntries[i].text = ruleEntries[i - 1].text;
+                    ruleEntries[i - 1].text = tmpRule;
+                }
+            }));
+        }
     }
     let rulesLabel = ui.createLatexLabel
     ({
@@ -3953,22 +3975,25 @@ let createSystemMenu = () =>
         verticalTextAlignment: TextAlignment.CENTER,
         margin: new Thickness(0, 12)
     });
-    let ruleStack = ui.createStackLayout
+    let ruleStack = ui.createGrid
     ({
-        children: ruleEntries
+        columnDefinitions: ['7*', '1*', 0],
+        children: [...ruleEntries, ...ruleMoveBtns]
     });
     let addRuleButton = ui.createButton
     ({
         text: getLoc('btnAdd'),
         row: 0,
         column: 1,
-        heightRequest: 40,
+        heightRequest: SMALL_BUTTON_HEIGHT,
         onClicked: () =>
         {
             Sound.playClick();
             let i = ruleEntries.length;
             ruleEntries.push(ui.createEntry
             ({
+                row: i,
+                column: 0,
                 text: '',
                 clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
                 onTextChanged: (ot, nt) =>
@@ -3976,9 +4001,26 @@ let createSystemMenu = () =>
                     tmpRules[i] = nt;
                 }
             }));
+            if(i)
+            {
+                ruleMoveBtns.push(ui.createButton
+                ({
+                    row: i,
+                    column: 1,
+                    text: getLoc('btnUp'),
+                    heightRequest: SMALL_BUTTON_HEIGHT,
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        let tmpRule = ruleEntries[i].text;
+                        ruleEntries[i].text = ruleEntries[i - 1].text;
+                        ruleEntries[i - 1].text = tmpRule;
+                    }
+                }));
+            }
             rulesLabel.text = Localization.format(getLoc('labelRules'),
             ruleEntries.length);
-            ruleStack.children = ruleEntries;
+            ruleStack.children = [...ruleEntries, ...ruleMoveBtns];
         }
     });
     let tmpIgnore = values.ignoreList;
@@ -4590,10 +4632,13 @@ let createViewMenu = (title) =>
     for(let i = 0; i < values.rules.length; ++i)
         tmpRules[i] = values.rules[i];
     let ruleEntries = [];
+    let ruleMoveBtns = [];
     for(let i = 0; i < tmpRules.length; ++i)
     {
         ruleEntries.push(ui.createEntry
         ({
+            row: i,
+            column: 0,
             text: tmpRules[i],
             clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
             onTextChanged: (ot, nt) =>
@@ -4601,6 +4646,23 @@ let createViewMenu = (title) =>
                 tmpRules[i] = nt;
             }
         }));
+        if(i)
+        {
+            ruleMoveBtns.push(ui.createButton
+            ({
+                row: i,
+                column: 1,
+                text: getLoc('btnUp'),
+                heightRequest: SMALL_BUTTON_HEIGHT,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    let tmpRule = ruleEntries[i].text;
+                    ruleEntries[i].text = ruleEntries[i - 1].text;
+                    ruleEntries[i - 1].text = tmpRule;
+                }
+            }));
+        }
     }
     let rulesLabel = ui.createLatexLabel
     ({
@@ -4608,9 +4670,10 @@ let createViewMenu = (title) =>
         verticalTextAlignment: TextAlignment.CENTER,
         margin: new Thickness(0, 12)
     });
-    let ruleStack = ui.createStackLayout
+    let ruleStack = ui.createGrid
     ({
-        children: ruleEntries
+        columnDefinitions: ['7*', '1*', 0],
+        children: [...ruleEntries, ...ruleMoveBtns]
     });
     let addRuleButton = ui.createButton
     ({
@@ -4624,6 +4687,8 @@ let createViewMenu = (title) =>
             let i = ruleEntries.length;
             ruleEntries.push(ui.createEntry
             ({
+                row: i,
+                column: 0,
                 text: '',
                 clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
                 onTextChanged: (ot, nt) =>
@@ -4631,9 +4696,26 @@ let createViewMenu = (title) =>
                     tmpRules[i] = nt;
                 }
             }));
+            if(i)
+            {
+                ruleMoveBtns.push(ui.createButton
+                ({
+                    row: i,
+                    column: 1,
+                    text: getLoc('btnUp'),
+                    heightRequest: SMALL_BUTTON_HEIGHT,
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        let tmpRule = ruleEntries[i].text;
+                        ruleEntries[i].text = ruleEntries[i - 1].text;
+                        ruleEntries[i - 1].text = tmpRule;
+                    }
+                }));
+            }
             rulesLabel.text = Localization.format(getLoc('labelRules'),
             ruleEntries.length);
-            ruleStack.children = ruleEntries;
+            ruleStack.children = [...ruleEntries, ...ruleMoveBtns];
         }
     });
     let tmpIgnore = values.ignoreList;
diff --git a/parametric_lsystem.js b/parametric_lsystem.js
index 9a6ff73..b853ea1 100644
--- a/parametric_lsystem.js
+++ b/parametric_lsystem.js
@@ -2,7 +2,11 @@ import { MathExpression } from "../api/MathExpression";
 
 const TRIM_SP = /\s+/g;
 const LS_RULE = /(.+):(.+)=(([^:]+)(:([^,]+))?)(,([^:]+)(:([^,]+))?)*/;
-const LS_SYMBOL = /(.)(\(([^\)]+)\))?/g;
+// BIG TODO: instead of using regex to match nested brackets, just use regular
+// loops to capture axiom and rule symbols. The other regexes are still fine.
+const LS_SYMBOL_WITHOUT_NESTED_BRACKETS = /(.)(\(([^\)]+)\))?/g;
+const LS_SYMBOL_STILL_WIP = /(.)(\((\(((?>[^()]+)|(?R))*\)|[^()])+\))?/g;
+// Context doesn't need to check for nested brackets!
 const LS_CONTEXT =
 /((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
 
@@ -118,7 +122,7 @@ class ParametricLSystem
             // [i][2]: condition
             tmpRule.condition = MathExpression.parse(rulesMatches[i][2]);
 
-            // let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t==0 = [+(30)G]F/(180)A(2):0.5, [-(30)G]F\(180)A(2):0.5']);
+            // let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t==0=[+(30)G]F/(180)A(2):0.5,[-(30)G]F\(180)A(2):0.5']);
             // [i][4+4k]: derivation(s)
             // [i][6+4k]: probability
 

From 7e0de23a3a2b29ba61f6b17493884d5615d7aba4 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 22 Feb 2023 11:56:54 +0700
Subject: [PATCH 44/94] Constructing in view menu now closes save menu

---
 classic.js | 5 +++--
 1 file changed, 3 insertions(+), 2 deletions(-)

diff --git a/classic.js b/classic.js
index bcea298..ab967e0 100644
--- a/classic.js
+++ b/classic.js
@@ -4504,7 +4504,7 @@ let createStateClipboardMenu = (values) =>
     return menu;
 }
 
-let createViewMenu = (title) =>
+let createViewMenu = (title, parentMenu) =>
 {
     let systemObj = savedSystems.get(title);
     let values = systemObj.system;
@@ -4938,6 +4938,7 @@ let createViewMenu = (title) =>
                                 tmpCY, tmpCZ, tmpUpright);
                                 tmpSystemName = title;
                                 tmpSystemDesc = tmpDesc;
+                                parentMenu.hide();
                                 menu.hide();
                             }
                         }),
@@ -5025,7 +5026,7 @@ let createSaveMenu = () =>
             onClicked: () =>
             {
                 Sound.playClick();
-                let viewMenu = createViewMenu(title, systemGrid);
+                let viewMenu = createViewMenu(title, menu);
                 viewMenu.onDisappearing = () =>
                 {
                     systemGrid.children = getSystemGrid();

From 9cee138600f5c46e540924a16e2296310f5e2e63 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 22 Feb 2023 12:00:00 +0700
Subject: [PATCH 45/94] Removed 'margins' from move buttons

---
 classic.js | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/classic.js b/classic.js
index ab967e0..77aef73 100644
--- a/classic.js
+++ b/classic.js
@@ -3977,7 +3977,7 @@ let createSystemMenu = () =>
     });
     let ruleStack = ui.createGrid
     ({
-        columnDefinitions: ['7*', '1*', 0],
+        columnDefinitions: ['7*', '1*'],
         children: [...ruleEntries, ...ruleMoveBtns]
     });
     let addRuleButton = ui.createButton
@@ -4672,7 +4672,7 @@ let createViewMenu = (title, parentMenu) =>
     });
     let ruleStack = ui.createGrid
     ({
-        columnDefinitions: ['7*', '1*', 0],
+        columnDefinitions: ['7*', '1*'],
         children: [...ruleEntries, ...ruleMoveBtns]
     });
     let addRuleButton = ui.createButton

From 6be2804e5ff6cd2758cc032c4571c03b29f63d80 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 22 Feb 2023 12:13:40 +0700
Subject: [PATCH 46/94] Proofread guide pages

---
 classic.js | 25 +++++++++++++------------
 1 file changed, 13 insertions(+), 12 deletions(-)

diff --git a/classic.js b/classic.js
index 77aef73..448b1fb 100644
--- a/classic.js
+++ b/classic.js
@@ -267,25 +267,25 @@ const locStrings =
 `understand the basics of L-systems, as well as instructions on how to ` +
 `effectively use this theory to construct and render them.
 
-Let's start discovering the wonders of L-systems.`
+Let's start discovering the wonders of L-systems (and the renderer).`
             },
             {
                 title: 'Controls: Theory screen',
                 contents:
 `The theory screen consists of the renderer and its controls.
 
-Level: the system's iteration. Pressing + or - will grow/revert the system ` +
-`respectively.
+Level: the iteration/generation/stage of the system. Pressing + or - will ` +
+`derive/revert the system.
 - Pressing the Level button will reveal all levels of the system.
 - Holding + or - will buy/refund levels in bulks of 10.
 
 Tickspeed: controls the renderer's drawing speed (up to 10 lines/sec, which ` +
 `produces less accurate lines).
-- Pressing the Tickspeed button will toggle between the Tickspeed and Tick ` +
+- Pressing the Tickspeed button will toggle between Tickspeed and Tick ` +
 `length modes.
-- Holding - will create an 'anchor' on the current level then set it to 0, ` +
-`pausing the renderer. Holding + afterwards will return the renderer to the ` +
-`previously anchored speed.
+- Holding - will create an 'anchor' on the current level before setting it ` +
+`to 0, pausing the renderer. Holding + afterwards will return the renderer ` +
+`to the previously anchored speed.
 
 Reset: located on the top right. Pressing this button will reset the renderer.
 
@@ -306,8 +306,9 @@ Menu buttons: You pressed on one of them to get here, did you?
 `'Add' button.
 - Ignored symbols: the turtle will stand still when encountering these symbols.
 - Tropism (gravity): determines the amount of gravity applied by the tropism ` +
-`(T) command. A negative value will instead lift the branch upwards.
-- Seed: the seed for a stochastic system. Can be manually set or rerolled.
+`(T) command.
+- Seed: determines the seed for a stochastic system. Can be manually set or ` +
+`rerolled.
 
 Note: Any blank rules will be trimmed afterwards.`
             },
@@ -561,8 +562,8 @@ Centre: (0, 0, 0)`
 
 |: reverses the turtle's direction.
 T: applies a force of gravity (tropism) to the turtle's current heading, so ` +
-`that it droops downward (with a positive tropism factor), or heads upward ` +
-`(with a negative tropism factor). This factor should be in the range from ` +
+`that it drops downward (with a positive tropism factor), or lifts upward ` +
+`(with a negative tropism factor). The factor should be in the range from ` +
 `-1 to 1.
 $: rolls the turtle around its own axis, so that its up vector is closest to ` +
 `absolute verticality i.e. the y-axis, and subsequently, its direction is ` +
@@ -1307,7 +1308,7 @@ class LSystem
      * systems.
      */
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '', tropism = 0.25)
+    ignoreList = '', tropism = 0)
     {
         this.userInput =
         {

From e036970600d16f4f9e19a6837b20f071a829358e Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 23 Feb 2023 00:11:13 +0700
Subject: [PATCH 47/94] Opened gallery! Added advanced lilac branch in gallery

---
 classic.js | 82 +++++++++++++++++++++++++++++++++++++++++++-----------
 1 file changed, 66 insertions(+), 16 deletions(-)

diff --git a/classic.js b/classic.js
index 448b1fb..436a372 100644
--- a/classic.js
+++ b/classic.js
@@ -267,7 +267,9 @@ const locStrings =
 `understand the basics of L-systems, as well as instructions on how to ` +
 `effectively use this theory to construct and render them.
 
-Let's start discovering the wonders of L-systems (and the renderer).`
+Let's start discovering the wonders of L-systems (and the renderer).
+
+Notice: A gallery for L-systems has opened! Visit page 28 for details.`
             },
             {
                 title: 'Controls: Theory screen',
@@ -556,6 +558,7 @@ Centre: (0, 0, 0)`
                 contents:
 `Using a yaw-pitch-roll orientation system, we can also generate figures in 3D.
 
+Counter-clockwise and clockwise respectively,
 + -: rotate turtle on the z-axis (yaw).
 & ^: rotate turtle on the y-axis (pitch).
 \\ /: rotate turtle on the x-axis (roll).
@@ -715,14 +718,16 @@ Upright`
             {
                 title: 'Appendix: Summary of symbols',
                 contents:
-`Any letter: moves turtle forward to draw a line of length 1.
+`Any letter (except T): moves turtle forward to draw a line of length 1.
 + -: rotate turtle on the z-axis (yaw).
 & ^: rotate turtle on the y-axis (pitch).
 \\ /: rotate turtle on the x-axis (roll).
-(counter-clockwise and clockwise, respectively)
+
 |: reverses turtle direction.
+T: applies tropism (gravity) to branch.
+$: aligns turtle's up vector to vertical.
 
-[: pushes the turtle's state onto a stack.
+[: pushes turtle state onto a stack.
 ]: pops the stack's topmost element onto the turtle.
 %: cuts off the remainder of a branch.
 
@@ -739,6 +744,11 @@ Upright`
 `Welcome to the LSR Art Academy. Thanks for finishing the manual, by the way!
 And today's class: Tick length.
 
+For a background observation, Exponential Idle's 3D graph seems to be using ` +
+`a Bézier-like spline with no locality. Therefore, it is not suitable for ` +
+`drawing straight lines. However, this does not mean we cannot get anything ` +
+`out of it, and today's class will demonstrate otherwise.
+
 Now, while tickspeed might be more of a familiar concept to the idle ` +
 `fellows, in LSR it posesses a flaw: it is not consistent. For instance, at ` +
 `9 tickspeed, the renderer would skip one tick out of every 10, making the ` +
@@ -756,7 +766,8 @@ Now, while tickspeed might be more of a familiar concept to the idle ` +
 `would be too slow for large scale figures.
 - 0.3 sec: Tick length 0.3 holds the most powerful secret in this whole ` +
 `universe: it can create the straightest lines out of this family. No ` +
-`trickery needed!
+`trickery needed! As the 3D graph seems to be running on a 3-tick cycle, ` +
+`the sampled points line up precisely with the renderer's drawing.
 - 0.4 sec: this one can really spice the figure up by tying up cute knots ` +
 `between corners occasionally, mimicking leaf shapes on a tree.
 - 0.5 sec: with slight occasional overshoots, tick length 0.5 proves itself ` +
@@ -816,9 +827,37 @@ Generally, in figures such as this or the Koch snowflake, it'd be better to ` +
 `due to the tail end being a backtrack itself, of course.`
             },
             {
-                title: 'Appendix: Botched L-systems',
+                title: 'Gallery',
+                contents:
+`Welcome to a L-systems gallery. Enjoy!
+
+Notice: The gallery is open for submission!
+Mail me your own L-systems, so it can be included in the gallery.
+Maybe over Discord. Reddit account. Arcane-mail logistics!`
+            },
+            {
+                title: 'Lilac branch (Advanced)',
                 contents:
-`Here are the systems created for another theory of mine, Botched L-system.`
+`A more complex version of the previous lilac branch in the Models section, ` +
+`complete with detailed models and copious utilisation of tropism.
+
+Axiom: +S~A
+S = FS
+A = T[--//~K][++//~K]I///~A
+~A = [+++~a~a~a~a]
+~a = -{[^-F.][--FF.][&-F.].}+^^^
+K = ~K
+~K = [FT[F]+++~k~k~k~k]
+~k = -{[^--F.][F-^-F.][^--F|++^--F|+F+F.][-F+F.][&--F|++&--F|+F+F.][F-&-F.][&--F.].}+^^^
+I = Fi
+i = Fj
+j = J[--FF~A][++FF~A]
+Turning angle: 30°
+Tropism: 0.16
+
+Applies static camera:
+Scale: 2*lv+1
+Centre: (2*lv+1, lv/2+3/4, 0)`
             },
             {
                 title: 'Botched Cultivar FF',
@@ -868,11 +907,6 @@ Applies static camera: (mathematically unproven)
 Scale: 3^lv
 Centre: (0.25*3^lv, 0.75*3^lv, 0)
 Upright`
-            },
-            {
-                title: 'Appendix: Lemma\'s Garden',
-                contents:
-`Here's to LG, coming out in Never.`
             }
         ]
     }
@@ -2876,7 +2910,7 @@ const zUpQuat = new Quaternion(0, 0, 0, 1);
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
 let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');
 let globalRNG = new Xorshift(Date.now());
-let contentsTable = [1, 2, 3, 4, 5, 6, 7, 10, 12, 15, 19, 21, 23, 24, 27];
+let contentsTable = [0, 1, 2, 3, 4, 5, 6, 7, 10, 12, 15, 19, 21, 23, 24, 27];
 let manualSystems =
 {
     8:
@@ -2920,7 +2954,7 @@ let manualSystems =
             'F=F[+i][-i]F',
             'i=Ii,IIi'
         ], 60, 0, 'i'),
-        config: ["2*2^lv", 0, 0, 0, false]
+        config: ['2*2^lv', 0, 0, 0, false]
     },
     16:
     {
@@ -2974,16 +3008,32 @@ let manualSystems =
         config: ['3*lv', 0, '1.5*lv', 0, true]
     },
     28:
+    {
+        system: new LSystem('+S~A', [
+            'S=FS',
+            'A=T[--//~K][++//~K]I///~A',
+            '~A=[+++~a~a~a~a]',
+            '~a=-{[^-F.][--FF.][&-F.].}+^^^',
+            'K=~K',
+            '~K=[FT[F]+++~k~k~k~k]',
+            '~k=-{[^--F.][F-^-F.][^--F|++^--F|+F+F.][-F+F.][&--F|++&--F|+F+F.][F-&-F.][&--F.].}+^^^',
+            'I=Fi',
+            'i=Fj',
+            'j=J[--FF~A][++FF~A]'
+        ], 30, 0, '', 0.16),
+        config: ['2*lv+1', '2*lv+1', 'lv/2+3/4', 0, false]
+    },
+    29:
     {
         system: new LSystem('X', ['F=FF', 'X=F-[[X]+X]+F[-X]-X'], 15),
         config: ['2^lv', 0, '2^lv', 0, true]
     },
-    29:
+    30:
     {
         system: new LSystem('X', ['F=F[+F]XF', 'X=F-[[X]+X]+F[-FX]-X'], 27),
         config: ['1.5*2^lv', '0.225*2^lv', '-0.75*2^lv', 0, false]
     },
-    30:
+    31:
     {
         system: new LSystem('X', [
             'E=XEXF-',

From 225ff908faf5544603483cb90cfa11bfc52211fe Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Fri, 24 Feb 2023 23:58:50 +0700
Subject: [PATCH 48/94] Updated docstrings for LSystem

---
 TODO.md               |   7 +-
 classic.js            | 162 ++++++++++++++----------------------------
 parametric_lsystem.js |  76 +++++++++++++++-----
 3 files changed, 117 insertions(+), 128 deletions(-)

diff --git a/TODO.md b/TODO.md
index 532c331..a905a8d 100644
--- a/TODO.md
+++ b/TODO.md
@@ -10,8 +10,6 @@
 
 ## Other considerations
 
-- [ ] Arrange coding streams
-  - Ask if people would be interested
 - [ ] A more detailed README
   - Showcases the power of tickspeed and stroke options
   - Discusses limitations of the game
@@ -25,14 +23,17 @@
 
 - [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
 - [ ] Add more comments in the code
-- [ ] Update docstrings (done up to Quaternion)
+- [ ] Update docstrings (done up to LSystem)
 
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Stochastic in PLSR: has to be on the same line
 
+- [ ] Option to use old tropisme?
+
 - [ ] Parametric systems
   - [ ] New option in constructor for MathExpression variables
+    - [ ] Button in LS menu next to axiom entry
   - Different classes
     - Button in LS menu / save menu to switch modes?
     - Theory settings?
diff --git a/classic.js b/classic.js
index 436a372..133a856 100644
--- a/classic.js
+++ b/classic.js
@@ -133,6 +133,7 @@ let getSmallBtnSize = (width) =>
 const BUTTON_HEIGHT = getBtnSize(ui.screenWidth);
 const SMALL_BUTTON_HEIGHT = getSmallBtnSize(ui.screenWidth);
 const ENTRY_CHAR_LIMIT = 5000;
+const TRIM_SP = /\s+/g;
 const locStrings =
 {
     en:
@@ -1232,12 +1233,12 @@ class Quaternion
         );
         let s = Math.sqrt((1 + dp) * 2);
         // I forgore that our quaternions have to be all negative, dunnoe why
-        return new Quaternion(
+        return this.mul(new Quaternion(
             -s / 2,
             rotAxis.x / s,
             rotAxis.y / s,
             rotAxis.z / s
-        ).mul(this).normalise;
+        )).normalise;
     }
     /**
      * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
@@ -1252,13 +1253,11 @@ class Quaternion
 
         let curHead = this.headingVector;
         let newHead = curHead - new Vector3(0, weight, 0);
-        log(`${curHead}\n\t--> ${newHead}`)
         let n = newHead.length;
         if(n == 0)
             return this;
         newHead /= n;
         let result = this.rotateFrom(curHead, newHead);
-        log(`Expected: ${newHead}\nActual: ${result.headingVector}`);
         return result;
     }
     /**
@@ -1337,40 +1336,54 @@ class LSystem
      * @constructor
      * @param {string} axiom the starting sequence.
      * @param {string[]} rules the production rules.
-     * @param {number} turnAngle (default: 30) the turning angle (in degrees).
+     * @param {string} turnAngle (default: 0) the turning angle (in degrees).
      * @param {number} seed (default: 0) the seed used for stochastic 
      * systems.
+     * @param {string} ignoreList a list of symbols to be ignored by the turtle.
+     * @param {string} tropism the tropism factor.
      */
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
     ignoreList = '', tropism = 0)
     {
+        /**
+         * @type {object} the user input in its original form.
+         */
         this.userInput =
         {
             axiom: axiom,
-            rules: this.getPurged(rules),
+            rules: this.purgeEmpty(rules),
             turnAngle: turnAngle,
             seed: seed,
             ignoreList: ignoreList,
             tropism: tropism
         };
         /**
-         * @type {string[]} the production rules.
-         * @public
+         * @type {string} the starting sequence.
+         */
+        this.axiom = axiom;
+        /**
+         * @type {Map<string, string>} the production rules.
          */
         this.rules = new Map();
-        this.contextRules = new Map();
         /**
-         * @type {set} a list of symbols ignored by the renderer.
-         * @public
+         * @type {set} a set of symbols ignored by the turtle.
          */
         this.ignoreList = new Set(ignoreList);
+        /**
+         * @type {Map<string, string>} the models to be used by the renderer.
+         */
         this.models = new Map();
 
+        // Rules processing.
         for(let i = 0; i < rules.length; ++i)
         {
             if(rules[i] !== '')
             {
-                let rs = rules[i].split('=');
+                let rs = rules[i].replace(TRIM_SP, '').split('=');
+                /*
+                Old rules format where rules without a derivation get added to
+                the ignore list, due to the old internal state's limitations.
+                */
                 if(rs.length < 2)
                 {
                     if(i == 0)
@@ -1381,8 +1394,6 @@ class LSystem
                         ]);
                     continue;
                 }
-                for(let i = 0; i < 2; ++i)
-                    rs[i] = rs[i].trim();
 
                 let rder = rs[1].split(',');
                 if(rder.length == 1)    // Regular rule
@@ -1397,7 +1408,7 @@ class LSystem
                         else
                             this.rules.set(rs[0], [...existingDer, rs[1]]);
                     }
-                    else if(rs[0].length == 2 && rs[0][0] == '~')
+                    else if(rs[0].length == 2 && rs[0][0] == '~')   // Model
                     {
                         let existingDer = this.models.get(rs[0][1]);
                         if(!existingDer)
@@ -1410,9 +1421,6 @@ class LSystem
                 }
                 else    // Stochastic rule
                 {
-                    for(let i = 0; i < rder.length; ++i)
-                        rder[i] = rder[i].trim();
-
                     if(rs[0].length == 1)
                     {
                         let existingDer = this.rules.get(rs[0]);
@@ -1423,7 +1431,7 @@ class LSystem
                         else
                             this.rules.set(rs[0], [...existingDer, rder]);
                     }
-                    else if(rs[0].length == 2 && rs[0][0] == '~')
+                    else if(rs[0].length == 2 && rs[0][0] == '~')   // Model
                     {
                         let existingDer = this.models.get(rs[0][1]);
                         if(!existingDer)
@@ -1436,99 +1444,39 @@ class LSystem
                 }
             }
         }
-        /**
-         * @type {number} the seed (for stochastic systems).
-         * @public
-         */
-        this.seed = seed;
         /**
          * @type {Xorshift} the random number generator for this system.
-         * @public not sure, ask Itsuki.
          */
-        this.RNG = new Xorshift(this.seed);
+        this.RNG = new Xorshift(seed);
         /**
-         * @type {string} the starting sequence.
-         * @public
+         * @type {number} half the turning angle (in radians) for use in quats.
          */
-        this.axiom = axiom;
-        /**
-         * @type {number} the turning angle (in degrees).
-         * @public
-         */
-        this.turnAngle = MathExpression.parse(turnAngle.toString()).evaluate();
-        /**
-         * @type {number} half the turning angle (in radians).
-         * @public
-         */
-        this.halfAngle = this.turnAngle * Math.PI / 360;
-        let s = Math.sin(this.halfAngle);
-        let c = Math.cos(this.halfAngle);
+        this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate() *
+        Math.PI / 360;
         /**
          * @type {Map<string, Quaternion>} a map of rotation quaternions for
          * quicker calculations.
-         * @public but shouldn't be.
          */
         this.rotations = new Map();
+        let s = Math.sin(this.halfAngle);
+        let c = Math.cos(this.halfAngle);
         this.rotations.set('+', new Quaternion(-c, 0, 0, s));
         this.rotations.set('-', new Quaternion(-c, 0, 0, -s));
         this.rotations.set('&', new Quaternion(-c, 0, s, 0));
         this.rotations.set('^', new Quaternion(-c, 0, -s, 0));
         this.rotations.set('\\', new Quaternion(-c, s, 0, 0));
         this.rotations.set('/', new Quaternion(-c, -s, 0, 0));
-
+        /**
+         * @type {number} the tropism factor.
+         */
         this.tropism = MathExpression.parse(tropism.toString()).evaluate();
     }
-    rerollAxiom()
-    {
-        this.axiom = this.userInput.axiom;
-    }
-    getRecursiveModels(sequence)
-    {
-        let result;
-        let count = 0;
-        if(typeof sequence === 'string')
-        {
-            result = '';
-            for(let i = 0; i < sequence.length; ++i)
-            {
-                let deriv;
-                if(sequence[i] == '~' && this.models.has(sequence[i + 1]))
-                {
-                    let r = this.getRecursiveModels(
-                    this.models.get(sequence[i + 1]));
-                    deriv = r.result;
-                    count += r.count;
-                }
-                else
-                    deriv = sequence[i];
 
-                if(typeof deriv === 'string')
-                    result += deriv;
-                else
-                    result += deriv[this.RNG.nextRange(0, deriv.length)];
-                
-                count += deriv.length;
-            }
-        }
-        else
-        {
-            result = [];
-            for(let i = 0; i < sequence.length; ++i)
-            {
-                let r = this.getRecursiveModels(sequence[i]);
-                result.push(r.result);
-                count += r.count;
-            }
-        }
-        return {
-            count: count,
-            result: result
-        };
-    }
     /**
      * Derive a sequence from the input string.
      * @param {string} state the input string.
-     * @returns {string} the derivation.
+     * @returns {object} `next`: the starting position to be derived next tick.
+     * `result`: the work completed in the current tick.
      */
     derive(sequence, start = 0)
     {
@@ -1583,16 +1531,20 @@ class LSystem
         };
     }
     /**
-     * Sets the system's seed.
+     * (Deprecated) Sets the system's seed from the outside in.
      * @param {number} seed the seed.
      */
-    set rerollSeed(seed)
+    set seed(seed)
     {
-        this.seed = seed;
         this.userInput.seed = seed;
         this.RNG = new Xorshift(this.seed);
     }
-    getPurged(rules)
+    /**
+     * Purge the rules of empty lines.
+     * @param {string[]} rules rules.
+     * @returns {string[]}
+     */
+    purgeEmpty(rules)
     {
         let result = [];
         let idx = 0;
@@ -1607,11 +1559,15 @@ class LSystem
         }
         return result;
     }
+    /**
+     * Returns a deep copy (hopefully) of the user input to prevent overwrites.
+     * @returns {object}
+     */
     get object()
     {
         return {
             axiom: this.userInput.axiom,
-            rules: this.getPurged(this.userInput.rules),
+            rules: this.purgeEmpty(this.userInput.rules),
             turnAngle: this.userInput.turnAngle,
             seed: this.userInput.seed,
             ignoreList: this.userInput.ignoreList,
@@ -1620,20 +1576,11 @@ class LSystem
     }
     /**
      * Returns the system's string representation.
-     * @returns {string} the string.
+     * @returns {string}
      */
     toString()
     {
-        let result = `${this.axiom} ${this.turnAngle} ${this.seed} ` +
-        `${[...this.ignoreList].join('')}`;
-        for(let [key, value] of this.rules)
-        {
-            if(typeof value === 'string')
-                result += ` ${key}=${value}`;
-            else
-                result += ` ${key}=${value.join(',')}`;
-        }
-        return result;
+        return JSON.stringify(this.userInput, undefined, 4);
     }
 }
 
@@ -2004,8 +1951,7 @@ class Renderer
      */
     set seed(seed)
     {
-        this.system.rerollSeed = seed;
-        this.system.rerollAxiom();
+        this.system.seed = seed;
         this.nextDeriveIdx = 0;
         this.loaded = -1;
         this.loadTarget = this.lv;
diff --git a/parametric_lsystem.js b/parametric_lsystem.js
index b853ea1..3be92b1 100644
--- a/parametric_lsystem.js
+++ b/parametric_lsystem.js
@@ -2,18 +2,15 @@ import { MathExpression } from "../api/MathExpression";
 
 const TRIM_SP = /\s+/g;
 const LS_RULE = /(.+):(.+)=(([^:]+)(:([^,]+))?)(,([^:]+)(:([^,]+))?)*/;
-// BIG TODO: instead of using regex to match nested brackets, just use regular
-// loops to capture axiom and rule symbols. The other regexes are still fine.
-const LS_SYMBOL_WITHOUT_NESTED_BRACKETS = /(.)(\(([^\)]+)\))?/g;
-const LS_SYMBOL_STILL_WIP = /(.)(\((\(((?>[^()]+)|(?R))*\)|[^()])+\))?/g;
 // Context doesn't need to check for nested brackets!
 const LS_CONTEXT =
 /((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
+// But individual symbols do.
 
 class ParametricLSystem
 {
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '')
+    ignoreList = '', tropism = 0, variables = {})
     {
         // User input
         this.userInput =
@@ -23,21 +20,16 @@ class ParametricLSystem
             turnAngle: turnAngle,
             seed: seed,
             ignoreList: ignoreList,
+            tropism: tropism,
+            variables: variables
         };
         // Use regex magic to separate
-        let axiomMatches = [...axiom.replace(TRIM_SP, '').matchAll(LS_SYMBOL)];
-        this.axiom = '';
-        this.axiomParams = [];
-        // let axiomReassembly = '';
-        for(let i = 0; i < axiomMatches.length; ++i)
-        {
-            // axiomReassembly += axiomMatches[i][0];
-            this.axiom += axiomMatches[i][1];
-            this.axiomParams.push(axiomMatches[i][3]);
-            // Indices 1 and 3 are symbol and parameters
-        }
+        let axiomMatches = this.parseSequence(axiom.replace(TRIM_SP, ''));
+        this.axiom = axiomMatches.sequence;
+        this.axiomParams = axiomMatches.params;
+
         // console.log(this.axiom);
-        // console.log(axiomReassembly);
+        // console.log(this.axiomParams);
         for(let i = 0; i < this.axiomParams.length; ++i)
         {
             if(typeof this.axiomParams[i] == 'undefined')
@@ -177,6 +169,56 @@ class ParametricLSystem
         };
     }
 
+    /**
+     * Parse a sequence to return one array of characters and one of parameters.
+     * @param {string} sequence the sequence to be parsed.
+     * @returns {object}
+     */
+    parseSequence(sequence)
+    {
+        let result = '';
+        let resultParams = [];
+        let bracketLvl = 0;
+        let start = null;
+        for(let i = 0; i < sequence.length; ++i)
+        {
+            switch(sequence[i])
+            {
+                case ' ':
+                    log('Blank space detected.')
+                    break;
+                case '(':
+                    ++bracketLvl;
+                    if(bracketLvl == 1)
+                        start = i + 1;
+                    break;
+                case ')':
+                    if(!bracketLvl)
+                    {
+                        log('You\'ve clearly made a bracket error.');
+                        break;
+                    }
+                    --bracketLvl;
+                    if(!bracketLvl)
+                        resultParams.push(sequence.slice(start, i));
+                    break;
+                default:
+                    if(bracketLvl)
+                        break;
+                    
+                    result += sequence[i];
+                    if(sequence[i + 1] != '(')
+                        resultParams.push(null);
+                    break;
+            }
+        }
+        return {
+            sequence: result,
+            params: resultParams
+        };
+        // Tested this out on Chrome console, it worked.
+    }
+
     getAncestree(sequence)
     {
         // Scanning behaviour should be very similar to renderer drawing.

From 1f919caf28c3199b52cf42a924f4c200fc89c775 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 25 Feb 2023 00:17:34 +0700
Subject: [PATCH 49/94] Enhanced looping behaviour with tails

---
 classic.js | 10 ++++------
 1 file changed, 4 insertions(+), 6 deletions(-)

diff --git a/classic.js b/classic.js
index 133a856..33e57f2 100644
--- a/classic.js
+++ b/classic.js
@@ -2357,18 +2357,16 @@ class Renderer
                 switch(this.loopMode)
                 {
                     case 2:
-                        l.buy(1);
-                        if(this.backtrackTail)
+                        if(!this.backtrackTail)
                             return;
+                        l.buy(1);
                         break;
                     case 1:
-                        this.reset(false);
-                        if(this.backtrackTail)
+                        if(!this.backtrackTail)
                             return;
+                        this.reset(false);
                         break;
                     case 0:
-                        if(this.backtrackTail)
-                            this.state = new Vector3(0, 0, 0);
                         return;
                 }
             }

From 4c31e1cffc2f02f40bc551ad3ed7c7148cb19506 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 25 Feb 2023 03:45:45 +0700
Subject: [PATCH 50/94] Rewrote docstrings for Renderer

---
 TODO.md    |   2 +-
 classic.js | 356 ++++++++++++++++++++++++++++-------------------------
 2 files changed, 192 insertions(+), 166 deletions(-)

diff --git a/TODO.md b/TODO.md
index a905a8d..1f8a460 100644
--- a/TODO.md
+++ b/TODO.md
@@ -23,7 +23,7 @@
 
 - [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
 - [ ] Add more comments in the code
-- [ ] Update docstrings (done up to LSystem)
+- [ ] Update docstrings (done up to Renderer)
 
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
diff --git a/classic.js b/classic.js
index 33e57f2..81aa597 100644
--- a/classic.js
+++ b/classic.js
@@ -29,6 +29,7 @@ import { Localization } from '../api/Localization';
 import { MathExpression } from '../api/MathExpression';
 import { ClearButtonVisibility } from '../api/ui/properties/ClearButtonVisibility';
 import { LineBreakMode } from '../api/ui/properties/LineBreakMode';
+import { BigNumber } from '../api/BigNumber';
 
 var id = 'L_systems_renderer';
 var getName = (language) =>
@@ -134,6 +135,7 @@ const BUTTON_HEIGHT = getBtnSize(ui.screenWidth);
 const SMALL_BUTTON_HEIGHT = getSmallBtnSize(ui.screenWidth);
 const ENTRY_CHAR_LIMIT = 5000;
 const TRIM_SP = /\s+/g;
+const BACKTRACK_LIST = new Set('+-&^\\/|[$T');
 const locStrings =
 {
     en:
@@ -225,7 +227,7 @@ const locStrings =
         labelQuickBT: '* Quick backtrack: ',
         labelHesitate: '* Stutter on backtrack: ',
         labelHesitateApex: '* Stutter at apex: ',
-        labelHesitateNode: '* Stutter at node: ',
+        labelHesitateFork: '* Stutter at fork: ',
         labelBTList: '* Backtrack list: ',
         labelRequireReset: '* Modifying this setting will require a reset.',
 
@@ -342,7 +344,7 @@ Advanced stroke options:
 - Quickdraw: skips over straight consecutive segments.
 - Quick backtrack: works similarly, but on the way back.
 - Stutter at apex: pause for one tick at the tips of lines.
-- Stutter at node: pause for one tick after backtracking through branches.`
+- Stutter at fork: pause for one tick after backtracking through branches.`
             },
             {
                 title: 'Saving and loading',
@@ -789,7 +791,7 @@ Now, open your renderer menu textbook to the last section. There are about 4 ` +
 `comes to both precision and aesthetics.
 - Quick backtrack: this one's a reliable one, trading only a little beauty ` +
 `for some extra speed.
-- Stutter at apex/node: now, this is what I mean when I say hesitation is ` +
+- Stutter at apex/fork: now, this is what I mean when I say hesitation is ` +
 `not defeat. Pausing for even just one tick can give your figure just enough ` +
 `cohesion it really needs. To prove this, try loading the Arrow weed then ` +
 `alternate between drawing with these option on and off, at 0.1 tick length, ` +
@@ -1336,9 +1338,8 @@ class LSystem
      * @constructor
      * @param {string} axiom the starting sequence.
      * @param {string[]} rules the production rules.
-     * @param {string} turnAngle (default: 0) the turning angle (in degrees).
-     * @param {number} seed (default: 0) the seed used for stochastic 
-     * systems.
+     * @param {string} turnAngle the turning angle (in degrees).
+     * @param {number} seed the seed used for stochastic systems.
      * @param {string} ignoreList a list of symbols to be ignored by the turtle.
      * @param {string} tropism the tropism factor.
      */
@@ -1346,7 +1347,14 @@ class LSystem
     ignoreList = '', tropism = 0)
     {
         /**
-         * @type {object} the user input in its original form.
+         * @type {{
+         *  axiom: string,
+         *  rules: string[],
+         *  turnAngle: string,
+         *  seed: number,
+         *  ignoreList: string,
+         *  tropism: string
+         * }} the user input in its original form.
          */
         this.userInput =
         {
@@ -1473,10 +1481,11 @@ class LSystem
     }
 
     /**
-     * Derive a sequence from the input string.
+     * Derive a sequence from the input string. `next` denotes the starting
+     * position to be derived next tick. `result` contains the work completed
+     * for the current tick.
      * @param {string} state the input string.
-     * @returns {object} `next`: the starting position to be derived next tick.
-     * `result`: the work completed in the current tick.
+     * @returns {{next: number, result: string}}
      */
     derive(sequence, start = 0)
     {
@@ -1561,7 +1570,14 @@ class LSystem
     }
     /**
      * Returns a deep copy (hopefully) of the user input to prevent overwrites.
-     * @returns {object}
+     * @returns {{
+     *  axiom: string,
+     *  rules: string[],
+     *  turnAngle: string,
+     *  seed: number,
+     *  ignoreList: string,
+     *  tropism: string
+     * }}
      */
     get object()
     {
@@ -1580,7 +1596,7 @@ class LSystem
      */
     toString()
     {
-        return JSON.stringify(this.userInput, undefined, 4);
+        return JSON.stringify(this.object, null, 4);
     }
 }
 
@@ -1592,162 +1608,190 @@ class Renderer
     /**
      * @constructor
      * @param {LSystem} system the L-system to be handled.
-     * @param {string} figureScale (default: 1) the zoom level expression.
-     * @param {boolean} cameraMode (default: 0) the camera mode.
-     * @param {number} camX (default: 0) the camera's x-axis centre.
-     * @param {number} camY (default: 0) the camera's y-axis centre.
-     * @param {number} camZ (default: 0) the camera's z-axis centre.
-     * @param {number} followFactor (default: 0.1; between 0 and 1) the
-     * camera's cursor-following speed.
-     * @param {number} loopMode (default: 0; between 0 and 2) the renderer's
-     * looping mode.
-     * @param {boolean} upright (default: false) whether to rotate the system
-     * around the z-axis by 90 degrees.
-     * @param {boolean} quickDraw (default: false) whether to skip through
-     * straight lines on the way forward.
-     * @param {boolean} quickBacktrack (default: false) whether to skip through
-     * straight lines on the way backward.
-     * @param {string} backtrackList (default: '+-&^\\/|[') a list of symbols to
-     * act as stoppers for backtracking.
+     * @param {string} figureScale the zoom level expression.
+     * @param {boolean} cameraMode the camera mode.
+     * @param {string} camX the camera's x-axis centre.
+     * @param {string} camY the camera's y-axis centre.
+     * @param {string} camZ the camera's z-axis centre.
+     * @param {number} followFactor the camera's cursor-following speed.
+     * @param {number} loopMode the renderer's looping mode.
+     * @param {boolean} upright whether to rotate the system around the z-axis
+     * by 90 degrees.
+     * @param {boolean} quickDraw whether to skip through straight lines on the
+     * way forward.
+     * @param {boolean} quickBacktrack whether to skip through straight lines on
+     * the way backward.
+     * @param {boolean} loadModels whether to load dedicated models for symbols.
+     * @param {boolean} backtrackTail whether to backtrack at the end of a loop.
+     * @param {boolean} hesitateApex whether to stutter for 1 tick at apices.
+     * @param {boolean} hesitateFork whether to stutter for 1 tick at forks.
      */
     constructor(system, figureScale = 1, cameraMode = 0, camX = 0, camY = 0,
     camZ = 0, followFactor = 0.15, loopMode = 0, upright = false,
-    quickDraw = false, quickBacktrack = false, backtrackList = '+-&^\\/|[$T',
-    loadModels = true, backtrackTail = false, hesitateApex = true,
-    hesitateNode = true)
+    quickDraw = false, quickBacktrack = false, loadModels = true,
+    backtrackTail = false, hesitateApex = true, hesitateFork = true)
     {
         /**
          * @type {LSystem} the L-system being handled.
-         * @public
          */
         this.system = system;
+        /**
+         * @type {string} kept for comparison in the renderer menu.
+         */
         this.figScaleStr = figureScale.toString();
+        /**
+         * @type {MathExpression} the figure scale expression.
+         */
         this.figScaleExpr = MathExpression.parse(this.figScaleStr);
+        /**
+         * @type {number} the calculated figure scale.
+         */
         this.figureScale = 1;
         /**
          * @type {boolean} the camera mode.
-         * @public
          */
         this.cameraMode = Math.round(Math.min(Math.max(cameraMode, 0), 2));
+        /**
+         * @type {string} kept for comparison in the renderer menu.
+         */
         this.camXStr = camX.toString();
+        /**
+         * @type {string} kept for comparison in the renderer menu.
+         */
         this.camYStr = camY.toString();
+        /**
+         * @type {string} kept for comparison in the renderer menu.
+         */
         this.camZStr = camZ.toString();
+        /**
+         * @type {MathExpression} the camera x expression.
+         */
         this.camXExpr = MathExpression.parse(this.camXStr);
+        /**
+         * @type {MathExpression} the camera y expression.
+         */
         this.camYExpr = MathExpression.parse(this.camYStr);
+        /**
+         * @type {MathExpression} the camera z expression.
+         */
         this.camZExpr = MathExpression.parse(this.camZStr);
         /**
-         * @type {Vector3} the static camera's coordinates.
-         * @public
+         * @type {Vector3} the calculated static camera coordinates.
          */
         this.camCentre = new Vector3(0, 0, 0);
         /**
          * @type {number} the follow factor.
-         * @public
          */
         this.followFactor = Math.min(Math.max(followFactor, 0), 1);
         /**
          * @type {number} the looping mode.
-         * @public
          */
         this.loopMode = Math.round(Math.min(Math.max(loopMode, 0), 2));
         /**
          * @type {boolean} the x-axis' orientation.
-         * @public
          */
         this.upright = upright;
         /**
          * @type {boolean} whether to skip through straight lines on the way
          * forward.
-         * @public
          */
         this.quickDraw = quickDraw;
         /**
          * @type {boolean} whether to skip through straight lines on the way
          * back.
-         * @public
          */
         this.quickBacktrack = quickBacktrack;
         /**
-         * @type {string} a list of symbols to act as stoppers for backtracking.
-         * @public
+         * @type {boolean} whether to load models.
          */
-        this.backtrackList = new Set(backtrackList);
         this.loadModels = loadModels;
+        /**
+         * @type {boolean} whether to backtrack at the end.
+         */
         this.backtrackTail = backtrackTail;
+        /**
+         * @type {boolean} whether to hesitate at apices.
+         */
         this.hesitateApex = hesitateApex;
-        this.hesitateNode = hesitateNode;
         /**
-         * @type {Vector3} the cursor's position.
-         * @public but shouldn't be.
+         * @type {boolean} whether to hesitate at forks.
+         */
+        this.hesitateFork = hesitateFork;
+        /**
+         * @type {Vector3} the turtle's position.
          */
         this.state = new Vector3(0, 0, 0);
         /**
-         * @type {Quaternion} the cursor's orientation.
-         * @public stay away from me.
+         * @type {Quaternion} the turtle's orientation.
          */
         this.ori = this.upright ? uprightQuat : new Quaternion();
         /**
-         * @type {string[]} stores the system's every level.
-         * @public don't touch me.
+         * @type {string[]} every level of the current system.
          */
         this.levels = [];
         /**
          * @type {number} the current level (updates after buying the variable).
-         * @public don't modify this please.
          */
         this.lv = -1;
         /**
          * @type {number} the maximum level loaded.
-         * @public don't mothify this either.
          */
         this.loaded = -1;
         /**
-         * @type {number} the load target.
-         * @public don't.
+         * @type {number} the load target level.
          */
         this.loadTarget = 0;
         /**
          * @type {[Vector3, Quaternion][]} stores cursor states for brackets.
-         * @public no.
          */
         this.stack = [];
         /**
          * @type {number[]} stores the indices of the other stack.
-         * @public don't touch this.
          */
         this.idxStack = [];
+        /**
+         * @type {string[]} keeps the currently rendered models.
+         */
         this.models = [];
+        /**
+         * @type {number[]} keeps the indices of the other stack.
+         */
         this.mdi = [];
         /**
          * @type {number} the current index of the sequence.
-         * @public don't know.
          */
         this.i = 0;
         /**
          * @type {number} the elapsed time.
-         * @public
          */
         this.elapsed = 0;
+        /**
+         * @type {number} the number of turns before the renderer starts working
+         * again.
+         */
         this.cooldown = 0;
         /**
          * @type {Vector3} the last tick's camera position.
-         * @public didn't tell you so.
          */
         this.lastCamera = new Vector3(0, 0, 0);
+        /**
+         * @type {Vector3} the last tick's camera velocity.
+         */
         this.lastCamVel = new Vector3(0, 0, 0);
         /**
          * @type {number} the next index to update for the current level.
-         * @public I told you so many times that you shouldn't access these.
          */
         this.nextDeriveIdx = 0;
+        /**
+         * @type {number} how many nested polygons currently in (pls keep at 1).
+         */
         this.polygonMode = 0;
     }
 
     /**
      * Updates the renderer's level.
      * @param {number} level the target level.
-     * @param {boolean} seedChanged (default: false) whether the seed has
-     * changed.
+     * @param {boolean} seedChanged whether the seed has changed.
      */
     update(level, seedChanged = false)
     {
@@ -1830,9 +1874,9 @@ class Renderer
      * Configures every parameter of the renderer, except the system.
      * @param {string} figureScale the zoom level expression.
      * @param {boolean} cameraMode the camera mode.
-     * @param {number} camX the camera's x-axis centre.
-     * @param {number} camY the camera's y-axis centre.
-     * @param {number} camZ the camera's z-axis centre.
+     * @param {string} camX the camera's x-axis centre.
+     * @param {string} camY the camera's y-axis centre.
+     * @param {string} camZ the camera's z-axis centre.
      * @param {number} followFactor the camera's cursor-following speed.
      * @param {number} loopMode the renderer's looping mode.
      * @param {boolean} upright whether to rotate the system around the z-axis
@@ -1841,19 +1885,21 @@ class Renderer
      * way forward.
      * @param {boolean} quickBacktrack whether to skip through straight lines
      * on the way backward.
-     * @param {string} backtrackList a list of symbols to act as stoppers for
-     * backtracking.
+     * @param {boolean} loadModels whether to load dedicated models for symbols.
+     * @param {boolean} backtrackTail whether to backtrack at the end of a loop.
+     * @param {boolean} hesitateApex whether to stutter for 1 tick at apices.
+     * @param {boolean} hesitateFork whether to stutter for 1 tick at forks.
      */
     configure(figureScale, cameraMode, camX, camY, camZ, followFactor,
-    loopMode, upright, quickDraw, quickBacktrack, backtrackList, loadModels,
-    backtrackTail, hesitateApex, hesitateNode)
+    loopMode, upright, quickDraw, quickBacktrack, loadModels, backtrackTail,
+    hesitateApex, hesitateFork)
     {
         let requireReset = (figureScale !== this.figScaleStr) ||
         (upright != this.upright) || (quickDraw != this.quickDraw) ||
         (quickBacktrack != this.quickBacktrack) ||
         (loadModels != this.loadModels) ||
         (hesitateApex != this.hesitateApex) ||
-        (hesitateNode != this.hesitateNode);
+        (hesitateFork != this.hesitateFork);
 
         this.figScaleStr = figureScale.toString();
         this.figScaleExpr = MathExpression.parse(this.figScaleStr);
@@ -1879,26 +1925,20 @@ class Renderer
         this.upright = upright;
         this.quickDraw = quickDraw;
         this.quickBacktrack = quickBacktrack;
-        let btl = new Set(backtrackList);
-        if(!eqSet(btl, this.backtrackList))
-            requireReset = true;
-        this.backtrackList = btl;
         this.loadModels = loadModels;
         this.backtrackTail = backtrackTail;
         this.hesitateApex = hesitateApex;
-        this.hesitateNode = hesitateNode;
+        this.hesitateFork = hesitateFork;
 
         if(requireReset)
             this.reset();
-        
-        return requireReset;
     }
     /**
      * Configures only the parameters related to the static camera mode.
      * @param {string} figureScale the zoom level expression.
-     * @param {number} camX the camera's x-axis centre.
-     * @param {number} camY the camera's y-axis centre.
-     * @param {number} camZ the camera's z-axis centre.
+     * @param {string} camX the camera's x-axis centre.
+     * @param {string} camY the camera's y-axis centre.
+     * @param {string} camZ the camera's z-axis centre.
      * @param {boolean} upright whether to rotate the system around the z-axis
      * by 90 degrees.
      */
@@ -1966,11 +2006,13 @@ class Renderer
     }
     /**
      * Ticks the clock.
+     * @param {number} dt the amount of time passed.
      */
     tick(dt)
     {
         if(this.lv > this.loaded + 1 ||
-        typeof this.levels[this.lv] === 'undefined')
+        typeof this.levels[this.lv] === 'undefined' ||
+        this.levels[this.lv].length == 0)
             return;
 
         if(this.i >= this.levels[this.lv].length && this.loopMode == 0)
@@ -2108,7 +2150,7 @@ class Renderer
                                 this.idxStack.pop();
                                 if(moved)
                                     this.cooldown = 1;
-                                if(this.hesitateNode && this.polygonMode <= 0)
+                                if(this.hesitateFork && this.polygonMode <= 0)
                                 {
                                     ++this.mdi[this.mdi.length - 1];
                                     return;
@@ -2154,7 +2196,7 @@ class Renderer
                             this.loadModels && this.system.models.has(
                             this.models[this.models.length - 1][
                             this.mdi[this.mdi.length - 1]]);
-                            let breakAhead = this.backtrackList.has(
+                            let breakAhead = BACKTRACK_LIST.has(
                             this.models[this.models.length - 1][
                             this.mdi[this.mdi.length - 1] + 1]);
                             let btAhead = this.models[this.models.length - 1][
@@ -2274,7 +2316,7 @@ class Renderer
                             this.idxStack.pop();
                             if(moved)
                                 this.cooldown = 1;
-                            if(this.hesitateNode && this.polygonMode <= 0)
+                            if(this.hesitateFork && this.polygonMode <= 0)
                             {
                                 ++this.i;
                                 return;
@@ -2317,7 +2359,7 @@ class Renderer
                         let ignored = this.system.ignoreList.has(
                         this.levels[this.lv][this.i]) || this.loadModels &&
                         this.system.models.has(this.levels[this.lv][this.i]);
-                        let breakAhead = this.backtrackList.has(
+                        let breakAhead = BACKTRACK_LIST.has(
                         this.levels[this.lv][this.i + 1]);
                         let btAhead = this.levels[this.lv][this.i + 1] == ']' ||
                         this.i == this.levels[this.lv].length - 1;
@@ -2379,14 +2421,22 @@ class Renderer
             }
         }
     }
+    /**
+     * Return swizzled coordinates according to the in-game system. The game
+     * uses Android UI coordinates, which is X-right Y-down Z-face.
+     * @param {Vector3} coords the original coordinates.
+     * @returns {Vector3}
+     */
     swizzle(coords)
     {
-        // The game uses left-handed Y-up, I mean Y-down coordinates.
-        // if(this.upright)
-        //     return new Vector3(-coords.y, -coords.x, coords.z);
-
+        // The game uses left-handed Y-up, aka Y-down coordinates.
         return new Vector3(coords.x, -coords.y, coords.z);
     }
+    /**
+     * Returns a variable's value for maths expressions.
+     * @param {string} v the variable's name.
+     * @returns {BigNumber}
+     */
     getVariable(v)
     {
         switch(v)
@@ -2397,7 +2447,7 @@ class Renderer
     }
     /**
      * Returns the camera centre's coordinates.
-     * @returns {Vector3} the coordinates.
+     * @returns {Vector3}
      */
     get centre()
     {
@@ -2407,8 +2457,8 @@ class Renderer
         return this.swizzle(-this.camCentre / this.figureScale);
     }
     /**
-     * Returns the cursor's coordinates.
-     * @returns {Vector3} the coordinates.
+     * Returns the turtle's coordinates.
+     * @returns {Vector3}
      */
     get cursor()
     {
@@ -2417,7 +2467,7 @@ class Renderer
     }
     /**
      * Returns the camera's coordinates.
-     * @returns {Vector3} the coordinates.
+     * @returns {Vector3}
      */
     get camera()
     {
@@ -2443,13 +2493,9 @@ class Renderer
         }
     }
     /**
-     * Returns the cursor's orientation.
-     * @returns {Quaternion} the orientation.
+     * Returns the static camera configuration.
+     * @returns {[string, string, string, string, boolean]}
      */
-    get angles()
-    {
-        return this.ori;
-    }
     get staticCamera()
     {
         return [
@@ -2462,6 +2508,7 @@ class Renderer
     }
     /**
      * Returns the elapsed time.
+     * @returns {[number, number]}
      */
     get elapsedTime()
     {
@@ -2471,16 +2518,16 @@ class Renderer
         ];
     }
     /**
-     * Returns the current progress on this level.
-     * @returns {number[]} the current progress in fractions.
+     * Returns the current progress on this level, in a fraction.
+     * @returns {[number, number]}
      */
     get progressFrac()
     {
         return [this.i, this.levels[this.lv].length];
     }
     /**
-     * Returns the current progress on this level.
-     * @returns {number} (between 0 and 100) the current progress.
+     * Returns the current progress on this level, in percent.
+     * @returns {number}
      */
     get progressPercent()
     {
@@ -2495,8 +2542,8 @@ class Renderer
         return result;
     }
     /**
-     * Returns the current progress as a string.
-     * @returns {string} the string.
+     * Returns the current progress fraction as a string.
+     * @returns {string}
      */
     get progressString()
     {
@@ -2505,7 +2552,7 @@ class Renderer
     }
     /**
      * Returns a loading message.
-     * @returns {string} the string.
+     * @returns {string}
      */
     get loadingString()
     {
@@ -2516,7 +2563,7 @@ class Renderer
     }
     /**
      * Returns the cursor's position as a string.
-     * @returns {string} the string.
+     * @returns {string}
      */
     get stateString()
     {
@@ -2529,7 +2576,7 @@ class Renderer
     }
     /**
      * Returns the cursor's orientation as a string.
-     * @returns {string} the string.
+     * @returns {string}
      */
     get oriString()
     {
@@ -2539,18 +2586,36 @@ class Renderer
         return `\\begin{matrix}q=${this.ori.toString()},&${this.progressString}
         \\end{matrix}`;
     }
+    /**
+     * Returns the object representation of the renderer.
+     * @returns {object}
+     */
+    get object()
+    {
+        return {
+            figureScale: this.figScaleStr,
+            cameraMode: this.cameraMode,
+            camX: this.camXStr,
+            camY: this.camYStr,
+            camZ: this.camZStr,
+            followFactor: this.followFactor,
+            loopMode: this.loopMode,
+            upright: this.upright,
+            loadModels: this.loadModels,
+            quickDraw: this.quickDraw,
+            quickBacktrack: this.quickBacktrack,
+            backtrackTail: this.backtrackTail,
+            hesitateApex: this.hesitateApex,
+            hesitateFork: this.hesitateFork
+        }
+    }
     /**
      * Returns the renderer's string representation.
-     * @returns {string} the string.
+     * @returns {string}
      */
     toString()
     {
-        return `${this.figScaleStr} ${this.cameraMode} ${this.camXStr} ` +
-        `${this.camYStr} ${this.camZStr} ${this.followFactor} ` +
-        `${this.loopMode} ${this.upright ? 1 : 0} ${this.quickDraw ? 1 : 0} ` +
-        `${this.quickBacktrack ? 1 : 0} ${[...this.backtrackList].join('')} ` +
-        `${this.loadModels ? 1 : 0} ${this.backtrackTail ? 1 : 0} ` +
-        `${this.hesitateApex} ${this.hesitateNode}`;
+        return JSON.stringify(this.object, null, 4);
     }
 }
 
@@ -3659,10 +3724,10 @@ let createConfigMenu = () =>
             }
         }
     });
-    let tmpHesN = renderer.hesitateNode;
+    let tmpHesN = renderer.hesitateFork;
     let hesNLabel = ui.createLatexLabel
     ({
-        text: getLoc('labelHesitateNode'),
+        text: getLoc('labelHesitateFork'),
         row: 3,
         column: 0,
         verticalTextAlignment: TextAlignment.CENTER
@@ -3684,25 +3749,6 @@ let createConfigMenu = () =>
             }
         }
     });
-    // let tmpEXB = [...renderer.backtrackList].join('');
-    // let EXBLabel = ui.createLatexLabel
-    // ({
-    //     text: getLoc('labelBTList'),
-    //     row: 3,
-    //     column: 0,
-    //     verticalTextAlignment: TextAlignment.CENTER
-    // });
-    // let EXBEntry = ui.createEntry
-    // ({
-    //     text: tmpEXB,
-    //     row: 3,
-    //     column: 1,
-    //     horizontalTextAlignment: TextAlignment.END,
-    //     onTextChanged: (ot, nt) =>
-    //     {
-    //         tmpEXB = nt;
-    //     }
-    // });
 
     let menu = ui.createPopup
     ({
@@ -3852,10 +3898,9 @@ let createConfigMenu = () =>
                             onClicked: () =>
                             {
                                 Sound.playClick();
-                                let requireReset = renderer.configure(tmpZE,
-                                tmpCM, tmpCX, tmpCY, tmpCZ, tmpFF, tmpLM,
-                                tmpUpright, tmpQD, tmpQB, undefined, tmpModel,
-                                tmpTail, tmpHesA, tmpHesN);
+                                renderer.configure(tmpZE, tmpCM, tmpCX, tmpCY,
+                                tmpCZ, tmpFF, tmpLM, tmpUpright, tmpQD, tmpQB,
+                                tmpModel, tmpTail, tmpHesA, tmpHesN);
                                 lvlControls.updateDescription();
                                 menu.hide();
                             }
@@ -3882,15 +3927,14 @@ let createConfigMenu = () =>
                                 QDSwitch.isToggled = rx.quickDraw;
                                 tmpQB = rx.quickBacktrack;
                                 QBSwitch.isToggled = rx.quickBacktrack;
-                                EXBEntry.text = [...rx.backtrackList].join('');
                                 tmpModel = rx.loadModels;
                                 modelSwitch.isToggled = rx.loadModels;
                                 tmpTail = rx.backtrackTail;
                                 tailSwitch.isToggled = rx.backtrackTail;
                                 tmpHesA = rx.hesitateApex;
                                 hesASwitch.isToggled = rx.hesitateApex;
-                                tmpHesN = rx.hesitateNode;
-                                hesNSwitch.isToggled = rx.hesitateNode;
+                                tmpHesN = rx.hesitateFork;
+                                hesNSwitch.isToggled = rx.hesitateFork;
                                 lvlControls.updateDescription();
                                 // menu.hide();
                             }
@@ -5666,24 +5710,7 @@ var getInternalState = () => JSON.stringify
     measurePerformance: measurePerformance,
     debugCamPath: debugCamPath,
     maxCharsPerTick: maxCharsPerTick,
-    renderer:
-    {
-        figureScale: renderer.figScaleStr,
-        cameraMode: renderer.cameraMode,
-        camX: renderer.camXStr,
-        camY: renderer.camYStr,
-        camZ: renderer.camZStr,
-        followFactor: renderer.followFactor,
-        loopMode: renderer.loopMode,
-        upright: renderer.upright,
-        loadModels: renderer.loadModels,
-        quickDraw: renderer.quickDraw,
-        quickBacktrack: renderer.quickBacktrack,
-        // backtrackList: [...renderer.backtrackList].join(''),
-        backtrackTail: renderer.backtrackTail,
-        hesitateApex: renderer.hesitateApex,
-        hesitateNode: renderer.hesitateNode
-    },
+    renderer: renderer.object,
     system: tmpSystem ?
     {
         title: tmpSystemName,
@@ -5749,9 +5776,8 @@ var setInternalState = (stateStr) =>
             state.renderer.camZ, state.renderer.followFactor,
             state.renderer.loopMode, state.renderer.upright,
             state.renderer.quickDraw, state.renderer.quickBacktrack,
-            undefined, state.renderer.loadModels,
-            state.renderer.backtrackTail, state.renderer.hesitateApex,
-            state.renderer.hesitateNode);
+            state.renderer.loadModels, state.renderer.backtrackTail,
+            state.renderer.hesitateApex, state.renderer.hesitateFork);
         }
         else
             renderer = new Renderer(system);

From f19468f42fdd108e5199b851ddc7f0931b6df3cc Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 25 Feb 2023 04:25:19 +0700
Subject: [PATCH 51/94] Added docstrings for VariableControls & Measurer

---
 TODO.md    |   2 +-
 classic.js | 146 +++++++++++++++++++++++++++++++++++++++++++++--------
 2 files changed, 127 insertions(+), 21 deletions(-)

diff --git a/TODO.md b/TODO.md
index 1f8a460..5d590c3 100644
--- a/TODO.md
+++ b/TODO.md
@@ -23,7 +23,6 @@
 
 - [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
 - [ ] Add more comments in the code
-- [ ] Update docstrings (done up to Renderer)
 
 - [ ] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
@@ -76,6 +75,7 @@
 
 ## 1.0: Completed
 
+- [x] Update docstrings
 - [x] Buttons in LS menu to move up down (swap rules)
   - How to update rule entries?
 - [x] Issue: Renderer.tick() cuts off 1 tick at the backtrack tail end
diff --git a/classic.js b/classic.js
index 81aa597..58f28c9 100644
--- a/classic.js
+++ b/classic.js
@@ -30,6 +30,9 @@ import { MathExpression } from '../api/MathExpression';
 import { ClearButtonVisibility } from '../api/ui/properties/ClearButtonVisibility';
 import { LineBreakMode } from '../api/ui/properties/LineBreakMode';
 import { BigNumber } from '../api/BigNumber';
+import { Upgrade } from '../api/Upgrades';
+import { Button } from '../api/ui/Button';
+import { Frame } from '../api/ui/Frame';
 
 var id = 'L_systems_renderer';
 var getName = (language) =>
@@ -2619,34 +2622,79 @@ class Renderer
     }
 }
 
+/**
+ * Represents a bunch of buttons for variable controls.
+ */
 class VariableControls
 {
+    /**
+     * @constructor
+     * @param {Upgrade} variable the variable being controlled.
+     * @param {boolean} useAnchor whether to use anchor controls.
+     * @param {number} quickbuyAmount the amount of levels to buy when held.
+     */
     constructor(variable, useAnchor = false, quickbuyAmount = 10)
     {
+        /**
+         * @type {Upgrade} the variable being controlled.
+         */
         this.variable = variable;
+        /**
+         * @type {Frame} the variable button.
+         */
         this.varBtn = null;
+        /**
+         * @type {Frame} the refund button.
+         */
         this.refundBtn = null;
+        /**
+         * @type {Frame} the buy button.
+         */
         this.buyBtn = null;
 
+        /**
+         * @type {boolean} whether to use anchor controls.
+         */
         this.useAnchor = useAnchor;
+        /**
+         * @type {number} the anchored variable level.
+         */
         this.anchor = this.variable.level;
+        /**
+         * @type {number} whether the anchor is on.
+         */
         this.anchorActive = false;
+        /**
+         * @type {number} the amount of levels to buy when held.
+         */
         this.quickbuyAmount = quickbuyAmount;
     }
 
+    /**
+     * Updates all buttons, visually.
+     */
     updateAllButtons()
     {
         this.updateDescription();
         this.updateRefundButton();
         this.updateBuyButton();
     }
+    /**
+     * Updates the variable description written on the button's label.
+     */
     updateDescription()
     {
         this.varBtn.content.text = this.variable.getDescription();
     }
+    /**
+     * Creates a variable button.
+     * @param {function(void): void} callback when pressed, calls this function.
+     * @param {number} height the button's height.
+     * @returns {Frame}
+     */
     createVariableButton(callback = null, height = BUTTON_HEIGHT)
     {
-        if(this.varBtn !== null)
+        if(this.varBtn)
             return this.varBtn;
         
         let frame = ui.createFrame
@@ -2663,7 +2711,7 @@ class VariableControls
             }),
             borderColor: Color.TRANSPARENT
         });
-        if(callback !== null)
+        if(callback)
         {
             frame.borderColor = Color.BORDER;
             frame.content.textColor = Color.TEXT;
@@ -2692,6 +2740,9 @@ class VariableControls
         this.varBtn = frame;
         return this.varBtn;
     }
+    /**
+     * Updates the refund button, visually.
+     */
     updateRefundButton()
     {
         this.refundBtn.borderColor = this.variable.level > 0 ? Color.BORDER :
@@ -2699,18 +2750,17 @@ class VariableControls
         this.refundBtn.content.textColor = this.variable.level > 0 ?
         Color.TEXT : Color.TEXT_MEDIUM;
     }
+    /**
+     * Creates a refund button.
+     * @param {string} symbol the button's label.
+     * @param {number} height the button's height.
+     * @returns {Frame}
+     */
     createRefundButton(symbol = '-', height = BUTTON_HEIGHT)
     {
-        if(this.refundBtn !== null)
+        if(this.refundBtn)
             return this.refundBtn;
 
-        // let bc = () => this.variable.level > 0 ? Color.BORDER :
-        // Color.TRANSPARENT;
-        // let tc = () => this.variable.level > 0 ? Color.TEXT :
-        // Color.TEXT_MEDIUM;
-        // let tcPressed = () => this.variable.level > 0 ? Color.TEXT_MEDIUM :
-        // Color.TEXT_DARK;
-
         this.refundBtn = ui.createFrame
         ({
             heightRequest: height,
@@ -2759,6 +2809,9 @@ class VariableControls
         });
         return this.refundBtn;
     }
+    /**
+     * Updates the buy button, visually.
+     */
     updateBuyButton()
     {
         this.buyBtn.borderColor = this.variable.level < this.variable.maxLevel ?
@@ -2766,18 +2819,17 @@ class VariableControls
         this.buyBtn.content.textColor = this.variable.level <
         this.variable.maxLevel ? Color.TEXT : Color.TEXT_MEDIUM;
     }
+    /**
+     * Creates a buy button.
+     * @param {string} symbol the button's label.
+     * @param {number} height the button's height.
+     * @returns {Frame}
+     */
     createBuyButton(symbol = '+', height = BUTTON_HEIGHT)
     {
-        if(this.buyBtn !== null)
+        if(this.buyBtn)
             return this.buyBtn;
 
-        // let bc = () => this.variable.level < this.variable.maxLevel ?
-        // Color.BORDER : Color.TRANSPARENT;
-        // let tc = () => this.variable.level < this.variable.maxLevel ?
-        // Color.TEXT : Color.TEXT_MEDIUM;
-        // let tcPressed = () => this.variable.level < this.variable.maxLevel ?
-        // Color.TEXT_MEDIUM : Color.TEXT_DARK;
-
         this.buyBtn = ui.createFrame
         ({
             heightRequest: height,
@@ -2832,22 +2884,57 @@ class VariableControls
     }
 }
 
+/**
+ * Measures performance for a piece of code.
+ */
 class Measurer
 {
+    /**
+     * @constructor
+     * @param {string} title the measurement's title.
+     * @param {number} window the sample size.
+     */
     constructor(title, window = 10)
     {
+        /**
+         * @type {string} the measurement's title.
+         */
         this.title = title;
+        /**
+         * @type {number} the sample size.
+         */
         this.window = window;
+        /**
+         * @type {number} the all-time sum.
+         */
         this.sum = 0;
+        /**
+         * @type {number} the window sum.
+         */
         this.windowSum = 0;
+        /**
+         * @type {number} the all-time maximum.
+         */
         this.max = 0;
+        /**
+         * @type {number[]} recent records.
+         */
         this.records = [];
         for(let i = 0; i < this.window; ++i)
             this.records[i] = 0;
+        /**
+         * @type {number} the elapsed time in ticks.
+         */
         this.ticksPassed = 0;
+        /**
+         * @type {number} the most recent moment the function was stamped.
+         */
         this.lastStamp = null;
     }
-    
+
+    /**
+     * Resets the measurer.
+     */
     reset()
     {
         this.sum = 0;
@@ -2859,9 +2946,12 @@ class Measurer
         this.ticksPassed = 0;
         this.lastStamp = null;
     }
+    /**
+     * Stamps the measurer.
+     */
     stamp()
     {
-        if(this.lastStamp === null)
+        if(!this.lastStamp)
             this.lastStamp = Date.now();
         else
         {
@@ -2876,14 +2966,26 @@ class Measurer
             ++this.ticksPassed;
         }
     }
+    /**
+     * Returns the window average.
+     * @returns {number}
+     */
     get windowAvg()
     {
         return this.windowSum / Math.min(this.window, this.ticksPassed);
     }
+    /**
+     * Returns the all-time average.
+     * @returns {number}
+     */
     get allTimeAvg()
     {
         return this.sum / this.ticksPassed;
     }
+    /**
+     * Returns the string for the window average.
+     * @returns {string}
+     */
     get windowAvgString()
     {
         if(this.ticksPassed == 0)
@@ -2896,6 +2998,10 @@ class Measurer
         getCoordString(this.max), getCoordString(this.windowAvg),
         Math.min(this.window, this.ticksPassed));
     }
+    /**
+     * Returns the string for the all-time average.
+     * @returns {string}
+     */
     get allTimeAvgString()
     {
         if(this.ticksPassed == 0)

From 5c9e9acd49b6cc8041976f2635a152f4f1f84467 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 27 Feb 2023 01:33:41 +0700
Subject: [PATCH 52/94] Restored old tail BT behaviour

---
 TODO.md    | 18 +++++++++---------
 classic.js |  9 +++++----
 2 files changed, 14 insertions(+), 13 deletions(-)

diff --git a/TODO.md b/TODO.md
index 5d590c3..3370117 100644
--- a/TODO.md
+++ b/TODO.md
@@ -10,25 +10,21 @@
 
 ## Other considerations
 
+- [ ] Add more comments in the code
 - [ ] A more detailed README
   - Showcases the power of tickspeed and stroke options
   - Discusses limitations of the game
   - Like a blog post, sort of
 - [ ] Localisation
 - [ ] Folders for saved systems
-- [ ] Compress internal state? LZW, LZP
 - [ ] Ask Gilles about changing the spline used in 3D graph
-
-## 1.0, Mistletoe ed.
-
 - [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
-- [ ] Add more comments in the code
 
-- [ ] Investigate Houdini stochastic syntax for weighted derivations
-`[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
-  - Stochastic in PLSR: has to be on the same line
+## 1.0, Mistletoe ed.
 
 - [ ] Option to use old tropisme?
+- [ ] Compress internal state? LZW, LZP
+  - [ ] Or just separate into multiple lines, with an add button
 
 - [ ] Parametric systems
   - [ ] New option in constructor for MathExpression variables
@@ -48,6 +44,10 @@
   would've been already stripped down by the time it gets to the turtle
   - `~`: Parameters of the following symbol can control model size in rule
 
+- [ ] Investigate Houdini stochastic syntax for weighted derivations
+`[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
+  - Stochastic in PLSR: has to be on the same line
+
 - [ ] Context sensitivity
   - `b < a > c → aa`
   - Parametric: **context ignore** replaces regular ignore list in LS menu
@@ -127,7 +127,7 @@
     - [x] Hesitate only when the turtle was moved compared to last time?
     - [ ] Does it work with ignored? No
   (because of the ignored stuff)
-  - [ ] The pop in `]` might be a problem if the branch stack has nothing yet?
+  - [x] The pop in `]` might be a problem if the branch stack has nothing yet?
   - [x] Remove the backtrack list option
     - Also, backtrack on the way back and forward needs different lists?
 - [x] Turtle controls summary page in guide
diff --git a/classic.js b/classic.js
index 58f28c9..223f152 100644
--- a/classic.js
+++ b/classic.js
@@ -231,6 +231,7 @@ const locStrings =
         labelHesitate: '* Stutter on backtrack: ',
         labelHesitateApex: '* Stutter at apex: ',
         labelHesitateFork: '* Stutter at fork: ',
+        labelOldTropism: '* Alternate tropism method: ',
         labelBTList: '* Backtrack list: ',
         labelRequireReset: '* Modifying this setting will require a reset.',
 
@@ -2402,19 +2403,19 @@ class Renderer
                 switch(this.loopMode)
                 {
                     case 2:
-                        if(!this.backtrackTail)
-                            return;
                         l.buy(1);
                         break;
                     case 1:
-                        if(!this.backtrackTail)
-                            return;
                         this.reset(false);
                         break;
                     case 0:
                         return;
                 }
             }
+            else if(!this.backtrackTail && this.loopMode == 0)
+            {
+                return;
+            }
             else
             {
                 let t = this.stack.pop();

From 89ec59cea705b268ee5d40aa5608907959719bd6 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 27 Feb 2023 02:29:24 +0700
Subject: [PATCH 53/94] Implemented rule inits for Parametric

---
 TODO.md               |   5 +-
 classic.js            |   5 +-
 parametric_lsystem.js | 113 +++++++++++++++++++++---------------------
 3 files changed, 61 insertions(+), 62 deletions(-)

diff --git a/TODO.md b/TODO.md
index 3370117..aa215a6 100644
--- a/TODO.md
+++ b/TODO.md
@@ -22,7 +22,10 @@
 
 ## 1.0, Mistletoe ed.
 
-- [ ] Option to use old tropisme?
+- Too much hassle to implement, defer them to LG:
+  - [ ] Option to use old tropisme
+  - [ ] Tropism direction
+
 - [ ] Compress internal state? LZW, LZP
   - [ ] Or just separate into multiple lines, with an add button
 
diff --git a/classic.js b/classic.js
index 223f152..94c8aba 100644
--- a/classic.js
+++ b/classic.js
@@ -2398,6 +2398,7 @@ class Renderer
                             break;
                 }
             }
+            // This is what the renderer will do at the end of a loop
             if(!this.backtrackTail || this.stack.length == 0)
             {
                 switch(this.loopMode)
@@ -2412,10 +2413,6 @@ class Renderer
                         return;
                 }
             }
-            else if(!this.backtrackTail && this.loopMode == 0)
-            {
-                return;
-            }
             else
             {
                 let t = this.stack.pop();
diff --git a/parametric_lsystem.js b/parametric_lsystem.js
index 3be92b1..07881a2 100644
--- a/parametric_lsystem.js
+++ b/parametric_lsystem.js
@@ -46,20 +46,20 @@ class ParametricLSystem
         // This is a context ignore list. Turtle ignores all except for Ff.
         this.ignoreList = new Set('FfT+-&^\\/|{.}%~$');
         
-        let rulesMatches = [];
+        let ruleMatches = [];
         for(let i = 0; i < rules.length; ++i)
         {
-            rulesMatches.push([...rules[i].replace(TRIM_SP, '').match(
+            ruleMatches.push([...rules[i].replace(TRIM_SP, '').match(
             LS_RULE)]);
-            // console.log(rulesMatches[i].toString());
+            // console.log(ruleMatches[i].toString());
             // Indices 1, 2, 4+4k, 6+4k are context, condition, derivation and
             // probability respectively
         }
         this.rules = new Map();
-        for(let i = 0; i < rulesMatches.length; ++i)
+        for(let i = 0; i < ruleMatches.length; ++i)
         {
             // [i][1]: context
-            let contextMatch = [...rulesMatches[i][1].match(LS_CONTEXT)];
+            let contextMatch = [...ruleMatches[i][1].match(LS_CONTEXT)];
             // Indices 2, 4, 6, 8, 10, 12 are the symbols and parameters of
             // left, middle, and right respectively
             if(typeof contextMatch[6] === 'undefined')
@@ -102,71 +102,69 @@ class ParametricLSystem
                 switch(pos)
                 {
                     case 'm':
-                        return m[tmpRule.params[v][1]];
+                        if(m)
+                            return m[tmpRule.params[v][1]];
                     case 'l':
-                        return l[tmpRule.params[v][1]];
+                        if(l)
+                            return l[tmpRule.params[v][1]];
                     case 'r':
-                        return r[tmpRule.params[v][1]];
+                        if(r)
+                            return r[tmpRule.params[v][1]];
                 }
                 // MathExpression eval: (v) => rule.paramMap(v, params[l], ...)
             }
 
             // [i][2]: condition
-            tmpRule.condition = MathExpression.parse(rulesMatches[i][2]);
+            tmpRule.condition = MathExpression.parse(ruleMatches[i][2]);
 
             // let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t==0=[+(30)G]F/(180)A(2):0.5,[-(30)G]F\(180)A(2):0.5']);
             // [i][4+4k]: derivation(s)
             // [i][6+4k]: probability
+            // j = 4k
+            for(let j = 0; j + 4 < ruleMatches[i].length; j += 4)
+            {
+                if(typeof ruleMatches[i][j + 4] === 'undefined')
+                    continue;
 
-            // Finally, push rule
-            if(!this.rules.has(contextMatch[6]))
-                this.rules.set(contextMatch[6], []);
-            this.rules.get(contextMatch[6]).push(tmpRule);
-        }
-
-        /* Probably will not allow multi-line stochastics this time.*/
-        let exampleRules =
-        {
-            'A':
-            [
-                {   // B(b) < A(a) > C(c, d)
-                    left: 'B',
-                    right: 'C',
-                    paramMap: (v, l, m, r) =>
-                    {
-                        let result =
-                        {
-                            'a': m[0],
-                            'b': l[0],
-                            'c': r[0],
-                            'd': r[1]
-                        };
-                        return result[v];
-                    },
-                    condition: 'c + d > 0',
-                    derivations:
-                    [
-                        'AF+-',
-                        'ABC-+'
-                    ],
-                    derivParams:    // these are MathExpressions too
-                    [
-                        ['a', '1', '137.5', undefined],
-                        ['a + 1', 'b + 1', ['c + 1', 'd'], undefined, '137.5']
-                    ],
-                    prob:   // so are these
-                    [   // Weighted system, sum has to be within 1
-                        '0.5 + a',
-                        'one'
-                    ]
-                },
+                let tmpDeriv = this.parseSequence(ruleMatches[i][j + 4]);
+                if(typeof tmpRule.derivations === 'string')
                 {
-                    // ...
-                    cond: true,
-                    // ...
+                    tmpRule.derivations = [tmpRule.derivations,
+                    tmpDeriv.sequence];
+                    tmpRule.parameters = [tmpRule.parameters, tmpDeriv.params];
+                    if(ruleMatches[i][j + 6])
+                        tmpRule.chances = [tmpRule.chances,
+                        MathExpression.parse(ruleMatches[i][j + 6])];
+                    else
+                        tmpRule.chances = [tmpRule.chances,
+                        MathExpression.parse('1')];
                 }
-            ]
-        };
+                else
+                {
+                    tmpRule.derivations.push(tmpDeriv.sequence);
+                    tmpRule.parameters.push(tmpDeriv.params);
+                    if(ruleMatches[i][j + 6])
+                        tmpRule.chances.push(MathExpression.parse(
+                        ruleMatches[i][j + 6]));
+                    else
+                        tmpRule.chances.push(MathExpression.parse('1'));
+                }
+            }
+
+            // Finally, push rule
+            if(contextMatch[6] == '~')
+            {
+                if(!this.models.has(contextMatch[6]))
+                    this.models.set(contextMatch[6], []);
+                this.models.get(contextMatch[6]).push(tmpRule);
+            }
+            else
+            {
+                if(!this.rules.has(contextMatch[6]))
+                    this.rules.set(contextMatch[6], []);
+                this.rules.get(contextMatch[6]).push(tmpRule);
+            }
+        }
     }
 
     /**
@@ -200,7 +198,8 @@ class ParametricLSystem
                     }
                     --bracketLvl;
                     if(!bracketLvl)
-                        resultParams.push(sequence.slice(start, i));
+                        resultParams.push(MathExpression.parse(
+                        sequence.slice(start, i)));
                     break;
                 default:
                     if(bracketLvl)

From 58870f83c16da6a77e56e8b06eb9067e3305c78f Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Mon, 27 Feb 2023 22:19:28 +0700
Subject: [PATCH 54/94] Completed testing rule initialisastion in-game

---
 TODO.md               |   1 +
 classic.js            |   8 +-
 parametric.js         | 726 ++++++++++++++++++++++++++++++++++++++++++
 parametric_lsystem.js | 273 ----------------
 4 files changed, 733 insertions(+), 275 deletions(-)
 create mode 100644 parametric.js
 delete mode 100644 parametric_lsystem.js

diff --git a/TODO.md b/TODO.md
index aa215a6..4d2287e 100644
--- a/TODO.md
+++ b/TODO.md
@@ -25,6 +25,7 @@
 - Too much hassle to implement, defer them to LG:
   - [ ] Option to use old tropisme
   - [ ] Tropism direction
+    - Maybe can have 4 arguments
 
 - [ ] Compress internal state? LZW, LZP
   - [ ] Or just separate into multiple lines, with an add button
diff --git a/classic.js b/classic.js
index 94c8aba..1e126ee 100644
--- a/classic.js
+++ b/classic.js
@@ -1032,10 +1032,14 @@ class LCG
     }
 }
 
+/**
+ * Represents an instance of the Xorshift RNG.
+ */
 class Xorshift
 {
     /**
-     * The state must be initialized to non-zero.
+     * @constructor
+     * @param {number} seed must be initialized to non-zero.
      */
     constructor(seed = 1752)
     {
@@ -1488,7 +1492,7 @@ class LSystem
      * Derive a sequence from the input string. `next` denotes the starting
      * position to be derived next tick. `result` contains the work completed
      * for the current tick.
-     * @param {string} state the input string.
+     * @param {string} sequence the input string.
      * @returns {{next: number, result: string}}
      */
     derive(sequence, start = 0)
diff --git a/parametric.js b/parametric.js
new file mode 100644
index 0000000..62948f2
--- /dev/null
+++ b/parametric.js
@@ -0,0 +1,726 @@
+import { MathExpression } from "../api/MathExpression";
+
+var id = 'parametric_L_systems_renderer';
+var name = 'Parametric L-systems Renderer';
+var description = 'Get wrecked.';
+var authors = 'propfeds#5988';
+var version = 0;
+
+const TRIM_SP = /\s+/g;
+const LS_RULE = /(.+):(.+)=(([^:]+)(:([^,]+))?)(,([^:]+)(:([^,]+))?)*/;
+// Context doesn't need to check for nested brackets!
+const LS_CONTEXT =
+/((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
+// But individual symbols do.
+
+/**
+ * Represents an instance of the Xorshift RNG.
+ */
+class Xorshift
+{
+    /**
+     * @constructor
+     * @param {number} seed must be initialized to non-zero.
+     */
+    constructor(seed = 1752)
+    {
+        this.state = seed;
+        this.mod = 0x100000000;
+                // 0x ffffffff + 1
+    }
+    /**
+     * Returns a random integer within [0, 2^32) probably.
+     * @returns {number}
+     */
+    get nextInt()
+    {
+        let x = this.state;
+        x ^= x << 13;
+        x ^= x >> 17;
+        x ^= x << 5;
+        this.state = x;
+        return this.state;
+    }
+    /**
+     * Returns a random floating point number within [0, 1] or [0, 1).
+     * @param {boolean} [includeEnd] (default: false) whether to include the
+     * number 1 in the range.
+     * @returns {number}
+     */
+    nextFloat(includeEnd = false)
+    {
+        let result;
+        if(includeEnd)  // [-1, 1]
+            result = this.nextInt / (this.mod - 1);
+        else            // [-1, 1)
+            result = this.nextInt / this.mod;
+
+        return (result + 1) / 2;
+    }
+    /**
+     * Returns a random integer within a range of [start, end).
+     * @param {number} start the range's lower bound.
+     * @param {number} end the range's upper bound, plus 1.
+     * @returns {number}
+     */
+    nextRange(start, end)
+    {
+        // [start, end)
+        let size = end - start;
+        return start + Math.floor(this.nextFloat() * size);
+    }
+    /**
+     * Returns a random element from an array.
+     * @param {any[]} array the array.
+     * @returns {any}
+     */
+    choice(array)
+    {
+        return array[this.nextRange(0, array.length)];
+    }
+}
+
+/**
+ * Represents one hell of a quaternion.
+ */
+class Quaternion
+{
+    /**
+     * @constructor
+     * @param {number} r (default: 1) the real component.
+     * @param {number} i (default: 0) the imaginary i component.
+     * @param {number} j (default: 0) the imaginary j component.
+     * @param {number} k (default: 0) the imaginary k component.
+     */
+    constructor(r = 1, i = 0, j = 0, k = 0)
+    {
+        /**
+         * @type {number} the real component.
+         */
+        this.r = r;
+        /**
+         * @type {number} the imaginary i component.
+         */
+        this.i = i;
+        /**
+         * @type {number} the imaginary j component.
+         */
+        this.j = j;
+        /**
+         * @type {number} the imaginary k component.
+         */
+        this.k = k;
+    }
+
+    /**
+     * Computes the sum of the current quaternion with another. Does not modify
+     * the original quaternion.
+     * @param {Quaternion} quat this other quaternion.
+     * @returns {Quaternion}
+     */
+    add(quat)
+    {
+        return new Quaternion(
+            this.r + quat.r,
+            this.i + quat.i,
+            this.j + quat.j,
+            this.k + quat.k
+        );
+    }
+    /**
+     * Computes the product of the current quaternion with another. Does not
+     * modify the original quaternion.
+     * @param {Quaternion} quat this other quaternion.
+     * @returns {Quaternion}
+     */
+    mul(quat)
+    {
+        let t0 = this.r * quat.r - this.i * quat.i -
+        this.j * quat.j - this.k * quat.k;
+        let t1 = this.r * quat.i + this.i * quat.r +
+        this.j * quat.k - this.k * quat.j;
+        let t2 = this.r * quat.j - this.i * quat.k +
+        this.j * quat.r + this.k * quat.i;
+        let t3 = this.r * quat.k + this.i * quat.j -
+        this.j * quat.i + this.k * quat.r;
+        return new Quaternion(t0, t1, t2, t3);
+    }
+    /**
+     * Computes the negation of a quaternion. The negation also acts as the
+     * inverse if the quaternion's norm is 1, which is the case with rotation
+     * quaternions.
+     * @returns {Quaternion}
+     */
+    get neg()
+    {
+        return new Quaternion(this.r, -this.i, -this.j, -this.k);
+    }
+    /**
+     * Computes the norm of a quaternion.
+     * @returns {number}
+     */
+    get norm()
+    {
+        return Math.sqrt(this.r ** 2 + this.i ** 2 + this.j ** 2 + this.k ** 2);
+    }
+    /**
+     * Normalises a quaternion.
+     * @returns {Quaternion}
+     */
+    get normalise()
+    {
+        let n = this.norm;
+        return new Quaternion(this.r / n, this.i / n, this.j / n, this.k / n);
+    }
+    /**
+     * Returns a heading vector from the quaternion.
+     * @returns {Vector3}
+     */
+    get headingVector()
+    {
+        let r = this.neg.mul(xUpQuat).mul(this);
+        return new Vector3(r.i, r.j, r.k);
+    }
+    /**
+     * Returns an up vector from the quaternion.
+     * @returns {Vector3}
+     */
+    get upVector()
+    {
+        let r = this.neg.mul(yUpQuat).mul(this);
+        return new Vector3(r.i, r.j, r.k);
+    }
+    /**
+     * Returns a side vector (left or right?) from the quaternion.
+     * @returns {Vector3}
+     */
+    get sideVector()
+    {
+        let r = this.neg.mul(zUpQuat).mul(this);
+        return new Vector3(r.i, r.j, r.k);
+    }
+    /**
+     * (Deprecated) Rotate from a heading vector to another. Inaccurate!
+     * @param {Vector3} src the current heading.
+     * @param {Vector3} dst the target heading.
+     * @returns {Quaternion}
+     */
+    rotateFrom(src, dst)
+    {
+        let dp = src.x * dst.x + src.y * dst.y +
+        src.z * dst.z;
+        let rotAxis;
+        if(dp < -1 + 1e-8)
+        {
+            /* Edge case
+            If the two vectors are in opposite directions, just reverse.
+            */
+            return zUpQuat.mul(this);
+        }
+        rotAxis = new Vector3(
+            src.y * dst.z - src.z * dst.y,
+            src.z * dst.x - src.x * dst.z,
+            src.x * dst.y - src.y * dst.x,
+        );
+        let s = Math.sqrt((1 + dp) * 2);
+        // I forgore that our quaternions have to be all negative, dunnoe why
+        return this.mul(new Quaternion(
+            -s / 2,
+            rotAxis.x / s,
+            rotAxis.y / s,
+            rotAxis.z / s
+        )).normalise;
+    }
+    /**
+     * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
+     * (Deprecated) Applies a gravi-tropism vector to the quaternion. Inaccurat!
+     * @param {number} weight the vector's length (negative for upwards).
+     * @returns {Quaternion}
+     */
+    applyTropismVector(weight = 0)
+    {
+        if(weight == 0)
+            return this;
+
+        let curHead = this.headingVector;
+        let newHead = curHead - new Vector3(0, weight, 0);
+        let n = newHead.length;
+        if(n == 0)
+            return this;
+        newHead /= n;
+        let result = this.rotateFrom(curHead, newHead);
+        return result;
+    }
+    /**
+     * Applies a gravi-tropism vector to the quaternion.
+     * @param {number} weight the branch's susceptibility to bending.
+     * @returns {Quaternion}
+     */
+    applyTropism(weight = 0)
+    {
+        if(weight == 0)
+            return this;
+
+        // a = e * |HxT| (n)
+        let curHead = this.headingVector;
+        let rotAxis = new Vector3(curHead.z, 0, -curHead.x);
+        let n = rotAxis.length;
+        if(n == 0)
+            return this;
+        rotAxis /= n;
+        let a = weight * n / 2;
+        let s = Math.sin(a);
+        let c = Math.cos(a);
+        // I don't know why it works the opposite way this time
+        return this.mul(new Quaternion(
+            -c,
+            rotAxis.x * s,
+            rotAxis.y * s,
+            rotAxis.z * s
+        )).normalise;
+    }
+    /**
+     * https://gamedev.stackexchange.com/questions/198977/how-to-solve-for-the-angle-of-a-axis-angle-rotation-that-gets-me-closest-to-a-sp/199027#199027
+     * Rolls the quaternion so that its up vector aligns with the earth.
+     * @returns {Quaternion}
+     */
+    alignToVertical()
+    {
+        // L = V×H / |V×H|
+        let curHead = this.headingVector;
+        let curUp = this.upVector;
+        let side = new Vector3(curHead.z, 0, -curHead.x);
+        let n = side.length;
+        if(n == 0)
+            return this;
+        side /= n;
+        // U = HxL
+        let newUp = new Vector3(
+            curHead.y * side.z - curHead.z * side.y,
+            curHead.z * side.x - curHead.x * side.z,
+            curHead.x * side.y - curHead.y * side.x,
+        );
+        let a = Math.atan2(
+            curUp.x * side.x + curUp.y * side.y + curUp.z * side.z,
+            curUp.x * newUp.x + curUp.y * newUp.y + newUp.z * newUp.z,
+        ) / 2;
+        let s = Math.sin(a);
+        let c = Math.cos(a);
+        return new Quaternion(-c, s, 0, 0).mul(this).normalise;
+    }
+    /**
+     * Returns the quaternion's string representation.
+     * @returns {string}
+     */
+    toString()
+    {
+        return `${getCoordString(this.r)} + ${getCoordString(this.i)}i + ${getCoordString(this.j)}j + ${getCoordString(this.k)}k`;
+    }
+}
+
+/**
+ * Represents a parametric L-system.
+ */
+class ParametricLSystem
+{
+    /**
+     * @constructor
+     * @param {string} axiom the starting sequence.
+     * @param {string[]} rules the production rules.
+     * @param {string} turnAngle the turning angle (in degrees).
+     * @param {number} seed the seed used for stochastic systems.
+     * @param {string} ignoreList a list of symbols to be ignored by the turtle.
+     * @param {string} tropism the tropism factor.
+     * @param {object} variables NOT IMPLEMENTED
+     */
+    constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
+    ignoreList = '', tropism = 0, variables = {})
+    {
+        // User input
+        this.userInput =
+        {
+            axiom: axiom,
+            // rules: this.purgeEmpty(rules),
+            turnAngle: turnAngle,
+            seed: seed,
+            ignoreList: ignoreList,
+            tropism: tropism,
+            variables: variables
+        };
+        let axiomMatches = this.parseSequence(axiom.replace(TRIM_SP, ''));
+        this.axiom = axiomMatches.result;
+        this.axiomParams = axiomMatches.params;
+
+        for(let i = 0; i < this.axiomParams.length; ++i)
+        {
+            if(!this.axiomParams[i])
+                continue;
+
+            let params = this.axiomParams[i].split(',');
+            // console.log(params)
+            for(let j = 0; j < params.length; ++j)
+                params[j] = MathExpression.parse(params[j]).evaluate();
+            this.axiomParams[i] = params;
+            // Maybe leave them at BigNumber?
+        }
+        // console.log(this.axiomParams.toString());
+        
+        let ruleMatches = [];
+        for(let i = 0; i < rules.length; ++i)
+        {
+            ruleMatches.push([...rules[i].replace(TRIM_SP, '').match(
+            LS_RULE)]);
+            // console.log(ruleMatches[i].toString());
+            // Indices 1, 2, 4+4k, 6+4k are context, condition, derivation and
+            // probability respectively
+        }
+        this.rules = new Map();
+        this.models = new Map();
+        for(let i = 0; i < ruleMatches.length; ++i)
+        {
+            // [i][1]: context
+            let contextMatch = [...ruleMatches[i][1].match(LS_CONTEXT)];
+            // Indices 2, 4, 6, 8, 10, 12 are the symbols and parameters of
+            // left, middle, and right respectively
+            if(!contextMatch[6])
+                continue;
+            
+            let tmpRule = {};
+            let ruleParams = {};
+            {
+                let params = contextMatch[8].split(',');
+                for(let j = 0; j < params.length; ++j)
+                    ruleParams[params[j]] = ['m', j];
+            }
+            tmpRule.left = contextMatch[2];
+            if(tmpRule.left)
+            {
+                let params = contextMatch[4].split(',');
+                for(let j = 0; j < params.length; ++j)
+                    ruleParams[params[j]] = ['l', j];
+            }
+            tmpRule.right = contextMatch[10];
+            if(tmpRule.right)
+            {
+                let params = contextMatch[12].split(',');
+                for(let j = 0; j < params.length; ++j)
+                {
+                    ruleParams[params[j]] = ['r', j];
+                }
+            }
+            tmpRule.params = ruleParams;
+            /*  // O(1) lookup with O(n) memory, I think
+            ruleParams = {
+                'a': ['m', 0],
+                'b': ['l', 0],
+                'c': ['r', 0],
+                'd': ['r', 1]
+            };
+            */
+            tmpRule.paramMap = (v, l, m, r) =>
+            {
+                let pos = tmpRule.params[v][0];
+                switch(pos)
+                {
+                    case 'm':
+                        if(m)
+                            return m[tmpRule.params[v][1]];
+                    case 'l':
+                        if(l)
+                            return l[tmpRule.params[v][1]];
+                    case 'r':
+                        if(r)
+                            return r[tmpRule.params[v][1]];
+                }
+                // MathExpression eval: (v) => rule.paramMap(v, params[l], ...)
+            }
+
+            // [i][2]: condition
+            if(ruleMatches[i][2])
+                tmpRule.condition = MathExpression.parse(ruleMatches[i][2]);
+            else
+                tmpRule.condition = MathExpression.parse('true');
+
+            // [i][4+4k]: derivation(s)
+            // [i][6+4k]: probability
+            // j = 4k
+            for(let j = 0; j + 4 < ruleMatches[i].length; j += 4)
+            {
+                if(!ruleMatches[i][j + 4])
+                    continue;
+
+                let tmpDeriv = this.parseSequence(ruleMatches[i][j + 4]);
+                let derivParams = tmpDeriv.params;
+                // for(let i = 0; i < this.axiomParams.length; ++i)
+                // {
+                //     if(!this.axiomParams[i])
+                //         continue;
+
+                //     let params = this.axiomParams[i].split(',');
+                //     // console.log(params)
+                //     for(let j = 0; j < params.length; ++j)
+                //         params[j] = MathExpression.parse(params[j]).evaluate();
+                //     this.axiomParams[i] = params;
+                //     // Maybe leave them at BigNumber?
+                // }
+                for(let k = 0; k < derivParams.length; ++k)
+                {
+                    if(!derivParams[k])
+                        continue;
+
+                    let params = derivParams[k].split(',');
+                    for(let l = 0; l < params.length; ++l)
+                        params[l] = MathExpression.parse(params[l]);
+
+                    derivParams[k] = params;
+                }
+                if(typeof tmpRule.derivations === 'string')
+                {
+                    tmpRule.derivations = [tmpRule.derivations,
+                    tmpDeriv.result];
+                    tmpRule.parameters = [tmpRule.parameters, derivParams];
+                    if(ruleMatches[i][j + 6])
+                        tmpRule.chances = [tmpRule.chances,
+                        MathExpression.parse(ruleMatches[i][j + 6])];
+                    else
+                        tmpRule.chances = [tmpRule.chances,
+                        MathExpression.parse('1')];
+                }
+                else if(!tmpRule.derivations)
+                {
+                    tmpRule.derivations = tmpDeriv.result;
+                    tmpRule.parameters = derivParams;
+                    if(ruleMatches[i][j + 6])
+                        tmpRule.chances = MathExpression.parse(
+                        ruleMatches[i][j + 6]);
+                    else
+                        tmpRule.chances = MathExpression.parse('1');
+                }
+                else    // Already an array
+                {
+                    tmpRule.derivations.push(tmpDeriv.result);
+                    tmpRule.parameters.push(derivParams);
+                    if(ruleMatches[i][j + 6])
+                        tmpRule.chances.push(MathExpression.parse(
+                        ruleMatches[i][j + 6]));
+                    else
+                        tmpRule.chances.push(MathExpression.parse('1'));
+                }
+            }
+
+            // Finally, push rule
+            if(contextMatch[6] == '~')
+            {
+                if(!this.models.has(contextMatch[6]))
+                    this.models.set(contextMatch[6], []);
+                this.models.get(contextMatch[6]).push(tmpRule);
+            }
+            else
+            {
+                if(!this.rules.has(contextMatch[6]))
+                    this.rules.set(contextMatch[6], []);
+                this.rules.get(contextMatch[6]).push(tmpRule);
+            }
+        }
+
+        this.ignoreList = new Set(ignoreList);
+        // This is a context ignore list. Turtle ignore list is separate.
+        this.ctxIgnoreList = new Set('FfT+-&^\\/|{.}%~$');
+
+        this.RNG = new Xorshift(seed);
+        this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate() *
+        Math.PI / 360;
+        
+        this.rotations = new Map();
+        let s = Math.sin(this.halfAngle);
+        let c = Math.cos(this.halfAngle);
+        this.rotations.set('+', new Quaternion(-c, 0, 0, s));
+        this.rotations.set('-', new Quaternion(-c, 0, 0, -s));
+        this.rotations.set('&', new Quaternion(-c, 0, s, 0));
+        this.rotations.set('^', new Quaternion(-c, 0, -s, 0));
+        this.rotations.set('\\', new Quaternion(-c, s, 0, 0));
+        this.rotations.set('/', new Quaternion(-c, -s, 0, 0));
+
+        this.tropism = MathExpression.parse(tropism.toString()).evaluate();
+    }
+
+    /**
+     * Parse a sequence to return one array of characters and one of parameters.
+     * Is only used when initialising the L-system.
+     * @param {string} sequence the sequence to be parsed.
+     * @returns {object}
+     */
+    parseSequence(sequence)
+    {
+        let result = '';
+        let resultParams = [];
+        let bracketLvl = 0;
+        let start = null;
+        for(let i = 0; i < sequence.length; ++i)
+        {
+            switch(sequence[i])
+            {
+                case ' ':
+                    log('Blank space detected.')
+                    break;
+                case '(':
+                    ++bracketLvl;
+                    if(bracketLvl == 1)
+                        start = i + 1;
+                    break;
+                case ')':
+                    if(!bracketLvl)
+                    {
+                        log('You\'ve clearly made a bracket error.');
+                        break;
+                    }
+                    --bracketLvl;
+                    if(!bracketLvl)
+                        resultParams.push(sequence.slice(start, i));
+                    break;
+                default:
+                    if(bracketLvl)
+                        break;
+                    
+                    result += sequence[i];
+                    if(sequence[i + 1] != '(')
+                        resultParams.push(null);
+                    break;
+            }
+        }
+        return {
+            result: result,
+            params: resultParams
+        };
+        // Tested this out on Chrome console, it worked.
+    }
+
+    getAncestree(sequence)
+    {
+        // Scanning behaviour should be very similar to renderer drawing.
+        let stack = [];
+        let idxStack = [];
+        let ancestors = [];
+        let children = [];
+        for(let i = 0; i < sequence.length; ++i)
+        {
+            switch(sequence[i])
+            {
+                case ' ':
+                    log('Blank space detected.')
+                    break;
+                case '[':
+                    idxStack.push(stack.length);
+                    break;
+                case ']':
+                    if(stack.length == 0)
+                    {
+                        log('You\'ve clearly made a bracket error.');
+                        break;
+                    }
+                    while(stack.length > idxStack[idxStack.length - 1])     
+                        stack.pop();
+
+                    idxStack.pop();
+                    break;
+                default:
+                    let ignored = this.ctxIgnoreList.has(sequence[i]);
+                    if(ignored)
+                        break;
+                    
+                    if(stack.length > 0)
+                    {
+                        let ancIdx = stack[stack.length - 1];
+                        ancestors[i] = ancIdx;
+                        if(typeof children[ancIdx] === 'undefined')
+                            children[ancIdx] = [];
+                        children[ancIdx].push(i);
+                    }
+
+                    stack.push(i);
+                    break;
+            }
+        }
+        return {
+            ancestors: ancestors,
+            children: children
+        };
+        // Tested this out on Chrome console, it worked.
+    }
+
+    /**
+     * Derive a sequence from the input string. `next` denotes the starting
+     * position to be derived next tick. `result` contains the work completed
+     * for the current tick.
+     * @param {string} sequence the input string.
+     * @returns {{next: number, result: string}}
+     */
+    derive(sequence, seqParams, start = 0)
+    {
+        let result = '';
+        let resultParams = [];
+        for(let i = start; i < sequence.length; ++i)
+        {
+            if(result.length > maxCharsPerTick)
+            {
+                return {
+                    next: i,
+                    result: result,
+                    params: resultParams
+                };
+            }
+            let deriv;
+            let derivParams = null;
+            if(sequence[i] == '%')
+            {
+                let branchLvl = 0;
+                for(; i < sequence.length; ++i)
+                {
+                    switch(sequence[i])
+                    {
+                        case '[':
+                            ++branchLvl;
+                            break;
+                        case ']':
+                            --branchLvl;
+                            break;
+                    }
+                    if(branchLvl < 0)
+                        break;
+                }
+                if(sequence[i] == ']')
+                    deriv = sequence[i];
+                else
+                    continue;
+            }
+            else if(sequence[i] == '~')
+                continue;
+            else if(this.rules.has(sequence[i]))
+            {
+                // parse
+                a
+            }
+            else
+                deriv = sequence[i];
+
+            result += deriv;
+            resultParams.push(derivParams);
+            // if(typeof deriv === 'string')
+            //     result += deriv;
+            // else
+            //     result += deriv[this.RNG.nextRange(0, deriv.length)];
+        }
+        return {
+            next: 0,
+            result: result,
+            params: resultParams
+        };
+    }
+
+    deriveModel(symbol)
+    {
+
+    }
+}
+
+let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=0=[+(30)G]F/(180)A(2):0.5,[-(30)G]F\\(180)A(2):0.5']);
diff --git a/parametric_lsystem.js b/parametric_lsystem.js
deleted file mode 100644
index 07881a2..0000000
--- a/parametric_lsystem.js
+++ /dev/null
@@ -1,273 +0,0 @@
-import { MathExpression } from "../api/MathExpression";
-
-const TRIM_SP = /\s+/g;
-const LS_RULE = /(.+):(.+)=(([^:]+)(:([^,]+))?)(,([^:]+)(:([^,]+))?)*/;
-// Context doesn't need to check for nested brackets!
-const LS_CONTEXT =
-/((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
-// But individual symbols do.
-
-class ParametricLSystem
-{
-    constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '', tropism = 0, variables = {})
-    {
-        // User input
-        this.userInput =
-        {
-            axiom: axiom,
-            rules: this.getPurged(rules),
-            turnAngle: turnAngle,
-            seed: seed,
-            ignoreList: ignoreList,
-            tropism: tropism,
-            variables: variables
-        };
-        // Use regex magic to separate
-        let axiomMatches = this.parseSequence(axiom.replace(TRIM_SP, ''));
-        this.axiom = axiomMatches.sequence;
-        this.axiomParams = axiomMatches.params;
-
-        // console.log(this.axiom);
-        // console.log(this.axiomParams);
-        for(let i = 0; i < this.axiomParams.length; ++i)
-        {
-            if(typeof this.axiomParams[i] == 'undefined')
-                continue;
-
-            let params = this.axiomParams[i].split(',');
-            // console.log(params)
-            for(let j = 0; j < params.length; ++j)
-                params[j] = MathExpression.parse(params[j]).evaluate();
-            this.axiomParams[i] = params;
-            // Maybe leave them at BigNumber?
-        }
-        // console.log(this.axiomParams.toString());
-        // This is a context ignore list. Turtle ignores all except for Ff.
-        this.ignoreList = new Set('FfT+-&^\\/|{.}%~$');
-        
-        let ruleMatches = [];
-        for(let i = 0; i < rules.length; ++i)
-        {
-            ruleMatches.push([...rules[i].replace(TRIM_SP, '').match(
-            LS_RULE)]);
-            // console.log(ruleMatches[i].toString());
-            // Indices 1, 2, 4+4k, 6+4k are context, condition, derivation and
-            // probability respectively
-        }
-        this.rules = new Map();
-        for(let i = 0; i < ruleMatches.length; ++i)
-        {
-            // [i][1]: context
-            let contextMatch = [...ruleMatches[i][1].match(LS_CONTEXT)];
-            // Indices 2, 4, 6, 8, 10, 12 are the symbols and parameters of
-            // left, middle, and right respectively
-            if(typeof contextMatch[6] === 'undefined')
-                continue;
-            
-            let tmpRule = {};
-            let ruleParams = {};
-            {
-                let params = contextMatch[8].split(',');
-                for(let j = 0; j < params.length; ++j)
-                    ruleParams[params[j]] = ['m', j];
-            }
-            tmpRule.left = contextMatch[2];
-            if(tmpRule.left)
-            {
-                let params = contextMatch[4].split(',');
-                for(let j = 0; j < params.length; ++j)
-                    ruleParams[params[j]] = ['l', j];
-            }
-            tmpRule.right = contextMatch[10];
-            {
-                let params = contextMatch[12].split(',');
-                for(let j = 0; j < params.length; ++j)
-                {
-                    ruleParams[params[j]] = ['r', j];
-                }
-            }
-            tmpRule.params = ruleParams;
-            /*  // O(1) lookup with O(n) memory, I think
-            ruleParams = {
-                'a': ['m', 0],
-                'b': ['l', 0],
-                'c': ['r', 0],
-                'd': ['r', 1]
-            };
-            */
-            tmpRule.paramMap = (v, l, m, r) =>
-            {
-                let pos = tmpRule.params[v][0];
-                switch(pos)
-                {
-                    case 'm':
-                        if(m)
-                            return m[tmpRule.params[v][1]];
-                    case 'l':
-                        if(l)
-                            return l[tmpRule.params[v][1]];
-                    case 'r':
-                        if(r)
-                            return r[tmpRule.params[v][1]];
-                }
-                // MathExpression eval: (v) => rule.paramMap(v, params[l], ...)
-            }
-
-            // [i][2]: condition
-            tmpRule.condition = MathExpression.parse(ruleMatches[i][2]);
-
-            // let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t==0=[+(30)G]F/(180)A(2):0.5,[-(30)G]F\(180)A(2):0.5']);
-            // [i][4+4k]: derivation(s)
-            // [i][6+4k]: probability
-            // j = 4k
-            for(let j = 0; j + 4 < ruleMatches[i].length; j += 4)
-            {
-                if(typeof ruleMatches[i][j + 4] === 'undefined')
-                    continue;
-
-                let tmpDeriv = this.parseSequence(ruleMatches[i][j + 4]);
-                if(typeof tmpRule.derivations === 'string')
-                {
-                    tmpRule.derivations = [tmpRule.derivations,
-                    tmpDeriv.sequence];
-                    tmpRule.parameters = [tmpRule.parameters, tmpDeriv.params];
-                    if(ruleMatches[i][j + 6])
-                        tmpRule.chances = [tmpRule.chances,
-                        MathExpression.parse(ruleMatches[i][j + 6])];
-                    else
-                        tmpRule.chances = [tmpRule.chances,
-                        MathExpression.parse('1')];
-                }
-                else
-                {
-                    tmpRule.derivations.push(tmpDeriv.sequence);
-                    tmpRule.parameters.push(tmpDeriv.params);
-                    if(ruleMatches[i][j + 6])
-                        tmpRule.chances.push(MathExpression.parse(
-                        ruleMatches[i][j + 6]));
-                    else
-                        tmpRule.chances.push(MathExpression.parse('1'));
-                }
-            }
-
-            // Finally, push rule
-            if(contextMatch[6] == '~')
-            {
-                if(!this.models.has(contextMatch[6]))
-                    this.models.set(contextMatch[6], []);
-                this.models.get(contextMatch[6]).push(tmpRule);
-            }
-            else
-            {
-                if(!this.rules.has(contextMatch[6]))
-                    this.rules.set(contextMatch[6], []);
-                this.rules.get(contextMatch[6]).push(tmpRule);
-            }
-        }
-    }
-
-    /**
-     * Parse a sequence to return one array of characters and one of parameters.
-     * @param {string} sequence the sequence to be parsed.
-     * @returns {object}
-     */
-    parseSequence(sequence)
-    {
-        let result = '';
-        let resultParams = [];
-        let bracketLvl = 0;
-        let start = null;
-        for(let i = 0; i < sequence.length; ++i)
-        {
-            switch(sequence[i])
-            {
-                case ' ':
-                    log('Blank space detected.')
-                    break;
-                case '(':
-                    ++bracketLvl;
-                    if(bracketLvl == 1)
-                        start = i + 1;
-                    break;
-                case ')':
-                    if(!bracketLvl)
-                    {
-                        log('You\'ve clearly made a bracket error.');
-                        break;
-                    }
-                    --bracketLvl;
-                    if(!bracketLvl)
-                        resultParams.push(MathExpression.parse(
-                        sequence.slice(start, i)));
-                    break;
-                default:
-                    if(bracketLvl)
-                        break;
-                    
-                    result += sequence[i];
-                    if(sequence[i + 1] != '(')
-                        resultParams.push(null);
-                    break;
-            }
-        }
-        return {
-            sequence: result,
-            params: resultParams
-        };
-        // Tested this out on Chrome console, it worked.
-    }
-
-    getAncestree(sequence)
-    {
-        // Scanning behaviour should be very similar to renderer drawing.
-        let stack = [];
-        let idxStack = [];
-        let ancestors = [];
-        let children = [];
-        for(let i = 0; i < sequence.length; ++i)
-        {
-            switch(sequence[i])
-            {
-                case ' ':
-                    log('Blank space detected.')
-                    break;
-                case '[':
-                    idxStack.push(stack.length);
-                    break;
-                case ']':
-                    if(stack.length == 0)
-                    {
-                        log('You\'ve clearly made a bracket error.');
-                        break;
-                    }
-                    while(stack.length > idxStack[idxStack.length - 1])     
-                        stack.pop();
-
-                    idxStack.pop();
-                    break;
-                default:
-                    let ignored = this.ignoreList.has(sequence[i]);
-                    if(ignored)
-                        break;
-                    
-                    if(stack.length > 0)
-                    {
-                        let ancIdx = stack[stack.length - 1];
-                        ancestors[i] = ancIdx;
-                        if(typeof children[ancIdx] === 'undefined')
-                            children[ancIdx] = [];
-                        children[ancIdx].push(i);
-                    }
-
-                    stack.push(i);
-                    break;
-            }
-        }
-        return {
-            ancestors: ancestors,
-            children: children
-        };
-        // Tested this out on Chrome console, it worked.
-    }
-}
\ No newline at end of file

From a0d05d281c93f242f98e77d420357f32b17a5643 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 02:12:31 +0700
Subject: [PATCH 55/94] Implemented first version of derive()

---
 parametric.js | 162 ++++++++++++++++++++++++++++++++++++++++++++++----
 1 file changed, 152 insertions(+), 10 deletions(-)

diff --git a/parametric.js b/parametric.js
index 62948f2..8892fda 100644
--- a/parametric.js
+++ b/parametric.js
@@ -6,6 +6,18 @@ var description = 'Get wrecked.';
 var authors = 'propfeds#5988';
 var version = 0;
 
+let time = 0;
+let page = 0;
+let offlineReset = true;
+let gameIsOffline = false;
+let altTerEq = false;
+let tickDelayMode = false;
+let resetLvlOnConstruct = true;
+let measurePerformance = false;
+let debugCamPath = false;
+let maxCharsPerTick = 1000;
+let menuLang = Localization.language;
+
 const TRIM_SP = /\s+/g;
 const LS_RULE = /(.+):(.+)=(([^:]+)(:([^,]+))?)(,([^:]+)(:([^,]+))?)*/;
 // Context doesn't need to check for nested brackets!
@@ -340,7 +352,7 @@ class ParametricLSystem
         this.userInput =
         {
             axiom: axiom,
-            // rules: this.purgeEmpty(rules),
+            rules: this.purgeEmpty(rules),
             turnAngle: turnAngle,
             seed: seed,
             ignoreList: ignoreList,
@@ -602,7 +614,9 @@ class ParametricLSystem
         let idxStack = [];
         let ancestors = [];
         let children = [];
-        for(let i = 0; i < sequence.length; ++i)
+        let i;  // Piece of shit Javascript doesn't let me put the let in the
+        // for loop normally.
+        for(i = 0; i < sequence.length; ++i)
         {
             switch(sequence[i])
             {
@@ -655,7 +669,7 @@ class ParametricLSystem
      * @param {string} sequence the input string.
      * @returns {{next: number, result: string}}
      */
-    derive(sequence, seqParams, start = 0)
+    derive(sequence, seqParams, ancestors, children, start = 0)
     {
         let result = '';
         let resultParams = [];
@@ -697,18 +711,111 @@ class ParametricLSystem
                 continue;
             else if(this.rules.has(sequence[i]))
             {
-                // parse
-                a
+                log(i);
+                let tmpRules = this.rules.get(sequence[i]);
+                for(let j = 0; j < tmpRules.length; ++j)
+                {
+                    // Left and right first
+                    if(tmpRules[j].left && tmpRules[j].left !=
+                    sequence[ancestors[i]])
+                        continue;
+
+                    let right = -1;
+                    if(tmpRules[j].right)
+                    {
+                        for(let k = 0; k < children[i].length; ++k)
+                        {
+                            if(tmpRules[j].right == sequence[children[i][k]])
+                            {
+                                right = children[i][k];
+                                break;
+                            }
+                        }
+                        if(right == -1)
+                            continue;
+                    }
+
+                    let tmpParamMap = (v) => tmpRules[j].paramMap(v,
+                    seqParams[ancestors[i]], seqParams[i], seqParams[right]);
+                    // Next up is the condition
+                    if(!tmpRules[j].condition.evaluate(tmpParamMap))
+                        continue;
+
+                    if(typeof tmpRules[j].derivations === 'string')
+                    {
+                        deriv = tmpRules[j].derivations;
+                        if(tmpRules[j].parameters)
+                        {
+                            derivParams = [];
+                            for(let k = 0; k < tmpRules[j].parameters.length;
+                            ++k)
+                            {
+                                if(tmpRules[j].parameters[k])
+                                    derivParams.push(
+                                    tmpRules[j].parameters[k].evaluate(
+                                    tmpParamMap));
+                                else
+                                    derivParams.push(null);
+                            }
+                        }
+                        break;
+                    }
+                    else    // Stochastic time
+                    {
+                        let roll = this.RNG.nextFloat();
+                        let chanceSum = 0;
+                        let choice = -1;
+                        for(let k = 0; k < tmpRules[j].derivations.length; ++k)
+                        {
+                            // Example
+                            // roll: 0.50
+                            // chance 1: 0.00 - 0.49
+                            // sum after 1: 0.50
+                            // chance 2: 0.50 - 0.99
+                            // sum after 2: 1 (select!)
+                            chanceSum += tmpRules[j].chances[k].evaluate(
+                            tmpParamMap);
+                            if(chanceSum > roll)    // select this
+                            {
+                                deriv = tmpRules[j].derivations[k];
+                                log(deriv)
+                                if(tmpRules[j].parameters[k])
+                                {
+                                    derivParams = [];
+                                    log(JSON.stringify(tmpRules[j].parameters[k], undefined, 4))
+                                    for(let l = 0; l < tmpRules[j].
+                                    parameters[k].length; ++l)
+                                    {
+                                        if(tmpRules[j].parameters[k][l])
+                                        {
+                                            let tmpParams = [];
+                                            for(let m = 0; m < tmpRules[j].
+                                            parameters[k][l].length; ++m)
+                                            {
+                                                tmpParams.push(
+                                                tmpRules[j].parameters[k][l][m].
+                                                evaluate(tmpParamMap));
+                                            }
+                                            derivParams.push(tmpParams);
+                                        }
+                                        else
+                                            derivParams.push(null);
+                                    }
+                                }
+                                break;
+                            }
+                        }
+                        if(choice == -1)
+                            continue;
+                        break;
+                    }
+                }
             }
             else
                 deriv = sequence[i];
 
             result += deriv;
             resultParams.push(derivParams);
-            // if(typeof deriv === 'string')
-            //     result += deriv;
-            // else
-            //     result += deriv[this.RNG.nextRange(0, deriv.length)];
         }
         return {
             next: 0,
@@ -721,6 +828,41 @@ class ParametricLSystem
     {
 
     }
+
+    /**
+     * Purge the rules of empty lines.
+     * @param {string[]} rules rules.
+     * @returns {string[]}
+     */
+    purgeEmpty(rules)
+    {
+        let result = [];
+        let idx = 0;
+        for(let i = 0; i < rules.length; ++i)
+        {
+            // I hope this deep-copies
+            if(rules[i])
+            {
+                result[idx] = rules[i];
+                ++idx;
+            }
+        }
+        return result;
+    }
 }
 
-let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=0=[+(30)G]F/(180)A(2):0.5,[-(30)G]F\\(180)A(2):0.5']);
+let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5']);
+// A(0)
+let a0 = 'A';
+let a0p = [[BigNumber.ZERO]];
+let tmpDeriv = a.derive(a0, a0p, [null], [null], 0);
+let a1 = tmpDeriv.result;
+let a1p = tmpDeriv.params;
+log(a1);
+log(a1p.toString());
+let at1 = a.getAncestree(a1);
+tmpDeriv = a.derive(a1, a1p, at1.ancestors, at1.children, 0);
+let a2 = tmpDeriv.result;
+let a2p = tmpDeriv.params;
+log(a2);
+log(a2p.toString());

From c8c1cf31efa262127b4963383a51eb69f8f8e84c Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 13:03:50 +0700
Subject: [PATCH 56/94] Fixed regex not separating derivations properly

---
 parametric.js | 73 ++++++++++++++++++++++++++++-----------------------
 1 file changed, 40 insertions(+), 33 deletions(-)

diff --git a/parametric.js b/parametric.js
index 8892fda..011148d 100644
--- a/parametric.js
+++ b/parametric.js
@@ -15,15 +15,14 @@ let tickDelayMode = false;
 let resetLvlOnConstruct = true;
 let measurePerformance = false;
 let debugCamPath = false;
-let maxCharsPerTick = 1000;
+let maxCharsPerTick = 1250;
 let menuLang = Localization.language;
 
 const TRIM_SP = /\s+/g;
-const LS_RULE = /(.+):(.+)=(([^:]+)(:([^,]+))?)(,([^:]+)(:([^,]+))?)*/;
+const LS_RULE = /(.+):(.+)=(.*)/;
 // Context doesn't need to check for nested brackets!
 const LS_CONTEXT =
 /((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
-// But individual symbols do.
 
 /**
  * Represents an instance of the Xorshift RNG.
@@ -432,18 +431,31 @@ class ParametricLSystem
             tmpRule.paramMap = (v, l, m, r) =>
             {
                 let pos = tmpRule.params[v][0];
+                let result = null;
                 switch(pos)
                 {
                     case 'm':
                         if(m)
-                            return m[tmpRule.params[v][1]];
+                        {
+                            result = m[tmpRule.params[v][1]];
+                            log(`m = ${m}`)
+                            break;
+                        }
                     case 'l':
                         if(l)
-                            return l[tmpRule.params[v][1]];
+                        {
+                            result = l[tmpRule.params[v][1]];
+                            break;
+                        }
                     case 'r':
                         if(r)
+                        {
                             return r[tmpRule.params[v][1]];
+                            break;
+                        }
                 }
+                log(`${v} = ${result}`);
+                return result;
                 // MathExpression eval: (v) => rule.paramMap(v, params[l], ...)
             }
 
@@ -453,28 +465,17 @@ class ParametricLSystem
             else
                 tmpRule.condition = MathExpression.parse('true');
 
-            // [i][4+4k]: derivation(s)
-            // [i][6+4k]: probability
-            // j = 4k
-            for(let j = 0; j + 4 < ruleMatches[i].length; j += 4)
+            // [i][3]: everything else
+            let tmpRuleMatches = ruleMatches[i][3].split(',');
+            for(let j = 0; j < tmpRuleMatches.length; ++j)
             {
-                if(!ruleMatches[i][j + 4])
+                if(typeof tmpRuleMatches[j] === 'undefined')
                     continue;
 
-                let tmpDeriv = this.parseSequence(ruleMatches[i][j + 4]);
+                log(`j = ${j}`)
+                tmpRuleMatches[j] = tmpRuleMatches[j].split(':');
+                let tmpDeriv = this.parseSequence(tmpRuleMatches[j][0]);
                 let derivParams = tmpDeriv.params;
-                // for(let i = 0; i < this.axiomParams.length; ++i)
-                // {
-                //     if(!this.axiomParams[i])
-                //         continue;
-
-                //     let params = this.axiomParams[i].split(',');
-                //     // console.log(params)
-                //     for(let j = 0; j < params.length; ++j)
-                //         params[j] = MathExpression.parse(params[j]).evaluate();
-                //     this.axiomParams[i] = params;
-                //     // Maybe leave them at BigNumber?
-                // }
                 for(let k = 0; k < derivParams.length; ++k)
                 {
                     if(!derivParams[k])
@@ -491,9 +492,9 @@ class ParametricLSystem
                     tmpRule.derivations = [tmpRule.derivations,
                     tmpDeriv.result];
                     tmpRule.parameters = [tmpRule.parameters, derivParams];
-                    if(ruleMatches[i][j + 6])
+                    if(tmpRuleMatches[j][1])
                         tmpRule.chances = [tmpRule.chances,
-                        MathExpression.parse(ruleMatches[i][j + 6])];
+                        MathExpression.parse(tmpRuleMatches[j][1])];
                     else
                         tmpRule.chances = [tmpRule.chances,
                         MathExpression.parse('1')];
@@ -502,9 +503,9 @@ class ParametricLSystem
                 {
                     tmpRule.derivations = tmpDeriv.result;
                     tmpRule.parameters = derivParams;
-                    if(ruleMatches[i][j + 6])
+                    if(tmpRuleMatches[j][1])
                         tmpRule.chances = MathExpression.parse(
-                        ruleMatches[i][j + 6]);
+                        tmpRuleMatches[j][1]);
                     else
                         tmpRule.chances = MathExpression.parse('1');
                 }
@@ -512,12 +513,13 @@ class ParametricLSystem
                 {
                     tmpRule.derivations.push(tmpDeriv.result);
                     tmpRule.parameters.push(derivParams);
-                    if(ruleMatches[i][j + 6])
+                    if(tmpRuleMatches[j][1])
                         tmpRule.chances.push(MathExpression.parse(
-                        ruleMatches[i][j + 6]));
+                        tmpRuleMatches[j][1]));
                     else
                         tmpRule.chances.push(MathExpression.parse('1'));
                 }
+                log(tmpRule.derivations.toString())
             }
 
             // Finally, push rule
@@ -711,7 +713,6 @@ class ParametricLSystem
                 continue;
             else if(this.rules.has(sequence[i]))
             {
-                log(i);
                 let tmpRules = this.rules.get(sequence[i]);
                 for(let j = 0; j < tmpRules.length; ++j)
                 {
@@ -735,6 +736,8 @@ class ParametricLSystem
                             continue;
                     }
 
+                    if(typeof seqParams[i] !== 'undefined')
+                    log(seqParams[i].toString())
                     let tmpParamMap = (v) => tmpRules[j].paramMap(v,
                     seqParams[ancestors[i]], seqParams[i], seqParams[right]);
                     // Next up is the condition
@@ -763,6 +766,7 @@ class ParametricLSystem
                     else    // Stochastic time
                     {
                         let roll = this.RNG.nextFloat();
+                        log(`roll = ${roll}`)
                         let chanceSum = 0;
                         let choice = -1;
                         for(let k = 0; k < tmpRules[j].derivations.length; ++k)
@@ -777,12 +781,12 @@ class ParametricLSystem
                             tmpParamMap);
                             if(chanceSum > roll)    // select this
                             {
+                                choice = k;
                                 deriv = tmpRules[j].derivations[k];
                                 log(deriv)
                                 if(tmpRules[j].parameters[k])
                                 {
                                     derivParams = [];
-                                    log(JSON.stringify(tmpRules[j].parameters[k], undefined, 4))
                                     for(let l = 0; l < tmpRules[j].
                                     parameters[k].length; ++l)
                                     {
@@ -805,6 +809,7 @@ class ParametricLSystem
                                 break;
                             }
                         }
+                        log(`choice = ${choice}`)
                         if(choice == -1)
                             continue;
                         break;
@@ -816,6 +821,7 @@ class ParametricLSystem
 
             result += deriv;
             resultParams.push(derivParams);
+            log(`${i} ${resultParams.length}`)
         }
         return {
             next: 0,
@@ -851,11 +857,12 @@ class ParametricLSystem
     }
 }
 
-let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5']);
+let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5,C:0.5'], 30, 1);
 // A(0)
 let a0 = 'A';
 let a0p = [[BigNumber.ZERO]];
-let tmpDeriv = a.derive(a0, a0p, [null], [null], 0);
+let at0 = a.getAncestree(a0);
+let tmpDeriv = a.derive(a0, a0p, at0.ancestors, at0.children, 0);
 let a1 = tmpDeriv.result;
 let a1p = tmpDeriv.params;
 log(a1);

From 0441e4a37f7b5932e5cef00dc88a64f53b6ce055 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 13:31:27 +0700
Subject: [PATCH 57/94] Fixed derivation returning wrong array shapes

---
 parametric.js | 58 ++++++++++++++++++++++++++++++---------------------
 1 file changed, 34 insertions(+), 24 deletions(-)

diff --git a/parametric.js b/parametric.js
index 011148d..7af2098 100644
--- a/parametric.js
+++ b/parametric.js
@@ -368,22 +368,18 @@ class ParametricLSystem
                 continue;
 
             let params = this.axiomParams[i].split(',');
-            // console.log(params)
             for(let j = 0; j < params.length; ++j)
                 params[j] = MathExpression.parse(params[j]).evaluate();
             this.axiomParams[i] = params;
             // Maybe leave them at BigNumber?
         }
-        // console.log(this.axiomParams.toString());
         
         let ruleMatches = [];
         for(let i = 0; i < rules.length; ++i)
         {
             ruleMatches.push([...rules[i].replace(TRIM_SP, '').match(
             LS_RULE)]);
-            // console.log(ruleMatches[i].toString());
-            // Indices 1, 2, 4+4k, 6+4k are context, condition, derivation and
-            // probability respectively
+            // Indices 1, 2, 3 are context, condition, and all derivations
         }
         this.rules = new Map();
         this.models = new Map();
@@ -438,7 +434,6 @@ class ParametricLSystem
                         if(m)
                         {
                             result = m[tmpRule.params[v][1]];
-                            log(`m = ${m}`)
                             break;
                         }
                     case 'l':
@@ -450,7 +445,7 @@ class ParametricLSystem
                     case 'r':
                         if(r)
                         {
-                            return r[tmpRule.params[v][1]];
+                            result = r[tmpRule.params[v][1]];
                             break;
                         }
                 }
@@ -472,7 +467,6 @@ class ParametricLSystem
                 if(typeof tmpRuleMatches[j] === 'undefined')
                     continue;
 
-                log(`j = ${j}`)
                 tmpRuleMatches[j] = tmpRuleMatches[j].split(':');
                 let tmpDeriv = this.parseSequence(tmpRuleMatches[j][0]);
                 let derivParams = tmpDeriv.params;
@@ -519,7 +513,6 @@ class ParametricLSystem
                     else
                         tmpRule.chances.push(MathExpression.parse('1'));
                 }
-                log(tmpRule.derivations.toString())
             }
 
             // Finally, push rule
@@ -753,12 +746,20 @@ class ParametricLSystem
                             for(let k = 0; k < tmpRules[j].parameters.length;
                             ++k)
                             {
-                                if(tmpRules[j].parameters[k])
-                                    derivParams.push(
-                                    tmpRules[j].parameters[k].evaluate(
-                                    tmpParamMap));
-                                else
-                                    derivParams.push(null);
+                                let derivPi = null;
+                                for(let l = 0; l < tmpRules[j].parameters[k].
+                                length; ++l)
+                                {
+                                    if(tmpRules[j].parameters[k][l])
+                                    {
+                                        if(!derivPi)
+                                            derivPi = [];
+                                        derivPi.push(
+                                        tmpRules[j].parameters[k][l].evaluate(
+                                        tmpParamMap));
+                                    }
+                                }
+                                derivParams.push(derivPi);
                             }
                         }
                         break;
@@ -783,27 +784,30 @@ class ParametricLSystem
                             {
                                 choice = k;
                                 deriv = tmpRules[j].derivations[k];
-                                log(deriv)
                                 if(tmpRules[j].parameters[k])
                                 {
                                     derivParams = [];
                                     for(let l = 0; l < tmpRules[j].
                                     parameters[k].length; ++l)
                                     {
+                                        let derivPi = null;
                                         if(tmpRules[j].parameters[k][l])
                                         {
-                                            let tmpParams = [];
                                             for(let m = 0; m < tmpRules[j].
                                             parameters[k][l].length; ++m)
                                             {
-                                                tmpParams.push(
-                                                tmpRules[j].parameters[k][l][m].
-                                                evaluate(tmpParamMap));
+                                                if(tmpRules[j].
+                                                parameters[k][l][m])
+                                                {
+                                                    if(!derivPi)
+                                                        derivPi = [];
+                                                    derivPi.push(tmpRules[j].
+                                                    parameters[k][l][m].
+                                                    evaluate(tmpParamMap));
+                                                }
                                             }
-                                            derivParams.push(tmpParams);
                                         }
-                                        else
-                                            derivParams.push(null);
+                                        derivParams.push(derivPi);
                                     }
                                 }
                                 break;
@@ -817,10 +821,16 @@ class ParametricLSystem
                 }
             }
             else
+            {
                 deriv = sequence[i];
+                derivParams = seqParams[i];
+            }
 
             result += deriv;
-            resultParams.push(derivParams);
+            if(derivParams)
+                resultParams.push(...derivParams);
+            else
+                resultParams.push(derivParams);
             log(`${i} ${resultParams.length}`)
         }
         return {

From 7a031c6d41eff9cbe1f5ac5f8a1fb0d51b8aab80 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 14:01:58 +0700
Subject: [PATCH 58/94] Fixed single symbol params not deriving correctly

---
 parametric.js | 30 ++++++++++++++++++------------
 1 file changed, 18 insertions(+), 12 deletions(-)

diff --git a/parametric.js b/parametric.js
index 7af2098..f3742d9 100644
--- a/parametric.js
+++ b/parametric.js
@@ -449,7 +449,7 @@ class ParametricLSystem
                             break;
                         }
                 }
-                log(`${v} = ${result}`);
+                // log(`${v} = ${result}`);
                 return result;
                 // MathExpression eval: (v) => rule.paramMap(v, params[l], ...)
             }
@@ -729,8 +729,6 @@ class ParametricLSystem
                             continue;
                     }
 
-                    if(typeof seqParams[i] !== 'undefined')
-                    log(seqParams[i].toString())
                     let tmpParamMap = (v) => tmpRules[j].paramMap(v,
                     seqParams[ancestors[i]], seqParams[i], seqParams[right]);
                     // Next up is the condition
@@ -767,7 +765,6 @@ class ParametricLSystem
                     else    // Stochastic time
                     {
                         let roll = this.RNG.nextFloat();
-                        log(`roll = ${roll}`)
                         let chanceSum = 0;
                         let choice = -1;
                         for(let k = 0; k < tmpRules[j].derivations.length; ++k)
@@ -813,7 +810,7 @@ class ParametricLSystem
                                 break;
                             }
                         }
-                        log(`choice = ${choice}`)
+                        // log(`roll = ${roll} choice = ${choice}`)
                         if(choice == -1)
                             continue;
                         break;
@@ -823,7 +820,7 @@ class ParametricLSystem
             else
             {
                 deriv = sequence[i];
-                derivParams = seqParams[i];
+                derivParams = [seqParams[i]];
             }
 
             result += deriv;
@@ -831,7 +828,6 @@ class ParametricLSystem
                 resultParams.push(...derivParams);
             else
                 resultParams.push(derivParams);
-            log(`${i} ${resultParams.length}`)
         }
         return {
             next: 0,
@@ -840,11 +836,22 @@ class ParametricLSystem
         };
     }
 
-    deriveModel(symbol)
+    deriveModel(symbol, symbolParams)
     {
 
     }
 
+    reconstruct(sequence, params)
+    {
+        let result = '';
+        for(let i = 0; i < sequence.length; ++i)
+        {
+            result += sequence[i];
+            if(params[i])
+                result += `(${params[i].join(', ')})`;
+        }
+        return result;
+    }
     /**
      * Purge the rules of empty lines.
      * @param {string[]} rules rules.
@@ -875,11 +882,10 @@ let at0 = a.getAncestree(a0);
 let tmpDeriv = a.derive(a0, a0p, at0.ancestors, at0.children, 0);
 let a1 = tmpDeriv.result;
 let a1p = tmpDeriv.params;
-log(a1);
-log(a1p.toString());
+log(a.reconstruct(a1, a1p));
+
 let at1 = a.getAncestree(a1);
 tmpDeriv = a.derive(a1, a1p, at1.ancestors, at1.children, 0);
 let a2 = tmpDeriv.result;
 let a2p = tmpDeriv.params;
-log(a2);
-log(a2p.toString());
+log(a.reconstruct(a2, a2p));

From bac0807fd653da86c0acf6078e3a737d1a63793f Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 15:37:51 +0700
Subject: [PATCH 59/94] Implemented the rest of ParametricLSystem

---
 parametric.js | 140 ++++++++++++++++++++++++++++++++++++++++++++++++--
 1 file changed, 137 insertions(+), 3 deletions(-)

diff --git a/parametric.js b/parametric.js
index f3742d9..e8b199d 100644
--- a/parametric.js
+++ b/parametric.js
@@ -1,7 +1,7 @@
 import { MathExpression } from "../api/MathExpression";
 
 var id = 'parametric_L_systems_renderer';
-var name = 'Parametric L-systems Renderer';
+var name = 'Param. L-systems Renderer';
 var description = 'Get wrecked.';
 var authors = 'propfeds#5988';
 var version = 0;
@@ -601,7 +601,11 @@ class ParametricLSystem
         };
         // Tested this out on Chrome console, it worked.
     }
-
+    /**
+     * Returns and ancestree and a child tree for a sequence.
+     * @param {string} sequence the sequence.
+     * @returns {object}
+     */
     getAncestree(sequence)
     {
         // Scanning behaviour should be very similar to renderer drawing.
@@ -836,9 +840,107 @@ class ParametricLSystem
         };
     }
 
-    deriveModel(symbol, symbolParams)
+    deriveModel(symbol, params)
     {
+        let result = '';
+        let resultParams = [];
+        if(this.models.has(symbol))
+        {
+            let tmpRules = this.models.get(symbol);
+            for(let j = 0; j < tmpRules.length; ++j)
+            {
+                let tmpParamMap = (v) => tmpRules[j].paramMap(v,
+                null, null, params);
+                // Next up is the condition
+                if(!tmpRules[j].condition.evaluate(tmpParamMap))
+                    continue;
 
+                if(typeof tmpRules[j].derivations === 'string')
+                {
+                    result = tmpRules[j].derivations;
+                    if(tmpRules[j].parameters)
+                    {
+                        for(let k = 0; k < tmpRules[j].parameters.length;
+                        ++k)
+                        {
+                            let derivPi = null;
+                            for(let l = 0; l < tmpRules[j].parameters[k].
+                            length; ++l)
+                            {
+                                if(tmpRules[j].parameters[k][l])
+                                {
+                                    if(!derivPi)
+                                        derivPi = [];
+                                    derivPi.push(
+                                    tmpRules[j].parameters[k][l].evaluate(
+                                    tmpParamMap));
+                                }
+                            }
+                            resultParams.push(derivPi);
+                        }
+                    }
+                    break;
+                }
+                else    // Stochastic time
+                {
+                    // Models can be drawn any time, thus, the RNG should be
+                    // separate from actual rule processing.
+                    let roll = globalRNG.nextFloat();
+                    let chanceSum = 0;
+                    let choice = -1;
+                    for(let k = 0; k < tmpRules[j].derivations.length; ++k)
+                    {
+                        // Example
+                        // roll: 0.50
+                        // chance 1: 0.00 - 0.49
+                        // sum after 1: 0.50
+                        // chance 2: 0.50 - 0.99
+                        // sum after 2: 1 (select!)
+                        chanceSum += tmpRules[j].chances[k].evaluate(
+                        tmpParamMap);
+                        if(chanceSum > roll)    // select this
+                        {
+                            choice = k;
+                            result = tmpRules[j].derivations[k];
+                            if(tmpRules[j].parameters[k])
+                            {
+                                for(let l = 0; l < tmpRules[j].
+                                parameters[k].length; ++l)
+                                {
+                                    let derivPi = null;
+                                    if(tmpRules[j].parameters[k][l])
+                                    {
+                                        for(let m = 0; m < tmpRules[j].
+                                        parameters[k][l].length; ++m)
+                                        {
+                                            if(tmpRules[j].
+                                            parameters[k][l][m])
+                                            {
+                                                if(!derivPi)
+                                                    derivPi = [];
+                                                derivPi.push(tmpRules[j].
+                                                parameters[k][l][m].
+                                                evaluate(tmpParamMap));
+                                            }
+                                        }
+                                    }
+                                    resultParams.push(derivPi);
+                                }
+                            }
+                            break;
+                        }
+                    }
+                    // log(`roll = ${roll} choice = ${choice}`)
+                    if(choice == -1)
+                        continue;
+                    break;
+                }
+            }
+        }
+        return {
+            result: result,
+            params: resultParams
+        };
     }
 
     reconstruct(sequence, params)
@@ -872,6 +974,38 @@ class ParametricLSystem
         }
         return result;
     }
+    /**
+     * Returns a deep copy (hopefully) of the user input to prevent overwrites.
+     * @returns {{
+     *  axiom: string,
+     *  rules: string[],
+     *  turnAngle: string,
+     *  seed: number,
+     *  ignoreList: string,
+     *  tropism: string,
+     *  variables: object
+     * }}
+     */
+    get object()
+    {
+        return {
+            axiom: this.userInput.axiom,
+            rules: this.purgeEmpty(this.userInput.rules),
+            turnAngle: this.userInput.turnAngle,
+            seed: this.userInput.seed,
+            ignoreList: this.userInput.ignoreList,
+            tropism: this.userInput.tropism,
+            variables: this.userInput.variables
+        };
+    }
+    /**
+     * Returns the system's string representation.
+     * @returns {string}
+     */
+    toString()
+    {
+        return JSON.stringify(this.object, null, 4);
+    }
 }
 
 let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5,C:0.5'], 30, 1);

From d931c316b6ba9472a7801085d38061e39204e4d1 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 16:40:14 +0700
Subject: [PATCH 60/94] Completed 1/2 of Renderer porting

---
 parametric.js | 1268 ++++++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 1259 insertions(+), 9 deletions(-)

diff --git a/parametric.js b/parametric.js
index e8b199d..8f4f1f8 100644
--- a/parametric.js
+++ b/parametric.js
@@ -1,9 +1,58 @@
-import { MathExpression } from "../api/MathExpression";
+import { FreeCost } from '../api/Costs';
+import { theory } from '../api/Theory';
+import { Utils } from '../api/Utils';
+import { Vector3 } from '../api/Vector3';
+import { ui } from '../api/ui/UI';
+import { Color } from '../api/ui/properties/Color';
+import { FontFamily } from '../api/ui/properties/FontFamily';
+import { Keyboard } from '../api/ui/properties/Keyboard';
+import { LayoutOptions } from '../api/ui/properties/LayoutOptions';
+import { TextAlignment } from '../api/ui/properties/TextAlignment';
+import { Thickness } from '../api/ui/properties/Thickness';
+import { TouchType } from '../api/ui/properties/TouchType';
+import { Localization } from '../api/Localization';
+import { MathExpression } from '../api/MathExpression';
+import { ClearButtonVisibility } from '../api/ui/properties/ClearButtonVisibility';
+import { LineBreakMode } from '../api/ui/properties/LineBreakMode';
+import { BigNumber } from '../api/BigNumber';
+import { Upgrade } from '../api/Upgrades';
+import { Button } from '../api/ui/Button';
+import { Frame } from '../api/ui/Frame';
 
 var id = 'parametric_L_systems_renderer';
-var name = 'Param. L-systems Renderer';
-var description = 'Get wrecked.';
-var authors = 'propfeds#5988';
+var getName = (language) =>
+{
+    let names =
+    {
+        en: 'Param. L-systems Renderer',
+    };
+
+    return names[language] || names.en;
+}
+var getDescription = (language) =>
+{
+    let descs =
+    {
+        en:
+`An educational tool that allows you to model plants, mostly.
+
+Supported L-system features:
+- Parametric, context-sensitive (2L) systems
+- Stochastic (randomised) rules
+- 3D turtle controls
+- Polygon modelling
+
+Other features:
+- Can save a whole army of systems!
+- Camera modes: static and turtle-following
+- Drawing speed and advanced stroke options!`,
+    };
+
+    return descs[language] || descs.en;
+}
+var authors =   'propfeds#5988\n\nThanks to:\nSir Gilles-Philippe Paillé, ' +
+                'for providing help with quaternions\nskyhigh173#3120, for ' +
+                'suggesting clipboard and JSON internal state formatting';
 var version = 0;
 
 let time = 0;
@@ -18,11 +67,67 @@ let debugCamPath = false;
 let maxCharsPerTick = 1250;
 let menuLang = Localization.language;
 
+let savedSystems = new Map();
+
+let getImageSize = (width) =>
+{
+    if(width >= 1080)
+        return 48;
+    if(width >= 720)
+        return 36;
+    if(width >= 360)
+        return 24;
+
+    return 20;
+}
+
+let getBtnSize = (width) =>
+{
+    if(width >= 1080)
+        return 96;
+    if(width >= 720)
+        return 72;
+    if(width >= 360)
+        return 48;
+
+    return 40;
+}
+
+let getMediumBtnSize = (width) =>
+{
+    if(width >= 1080)
+        return 88;
+    if(width >= 720)
+        return 66;
+    if(width >= 360)
+        return 44;
+
+    return 36;
+}
+
+let getSmallBtnSize = (width) =>
+{
+    if(width >= 1080)
+        return 80;
+    if(width >= 720)
+        return 60;
+    if(width >= 360)
+        return 40;
+
+    return 32;
+}
+
+const BUTTON_HEIGHT = getBtnSize(ui.screenWidth);
+const SMALL_BUTTON_HEIGHT = getSmallBtnSize(ui.screenWidth);
+const ENTRY_CHAR_LIMIT = 5000;
 const TRIM_SP = /\s+/g;
 const LS_RULE = /(.+):(.+)=(.*)/;
 // Context doesn't need to check for nested brackets!
 const LS_CONTEXT =
 /((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
+const CTX_IGNORE_LIST = new Set('FfT+-&^\\/|{.}%~$');
+const BACKTRACK_LIST = new Set('+-&^\\/|[$T');
+// TODO: copy from locStrings downward
 
 /**
  * Represents an instance of the Xorshift RNG.
@@ -156,6 +261,45 @@ class Quaternion
         this.j * quat.i + this.k * quat.r;
         return new Quaternion(t0, t1, t2, t3);
     }
+    /**
+     * Rotates the quaternion by some degrees.
+     * @param {number} degrees degrees.
+     * @param {string} symbol the corresponding symbol in L-system language.
+     */
+    rotate(degrees = 0, symbol = '+')
+    {
+        if(degrees == 0)
+            return this;
+
+        let halfAngle = degrees * Math.PI / 360;
+        let s = Math.sin(halfAngle);
+        let c = Math.cos(halfAngle);
+        let rotation;
+        switch(symbol)
+        {
+            case '+':
+                rotation = new Quaternion(-c, 0, 0, s);
+                break;
+            case '-':
+                rotation = new Quaternion(-c, 0, 0, -s);
+                break;
+            case '&':
+                rotation = new Quaternion(-c, 0, s, 0);
+                break;
+            case '^':
+                rotation = new Quaternion(-c, 0, -s, 0);
+                break;
+            case '\\':
+                rotation = new Quaternion(-c, s, 0, 0);
+                break;
+            case '/':
+                rotation = new Quaternion(-c, -s, 0, 0);
+                break;
+            default:
+                return this;
+        }
+        return rotation.mul(this);
+    }
     /**
      * Computes the negation of a quaternion. The negation also acts as the
      * inverse if the quaternion's norm is 1, which is the case with rotation
@@ -332,7 +476,7 @@ class Quaternion
 /**
  * Represents a parametric L-system.
  */
-class ParametricLSystem
+class LSystem
 {
     /**
      * @constructor
@@ -362,6 +506,7 @@ class ParametricLSystem
         this.axiom = axiomMatches.result;
         this.axiomParams = axiomMatches.params;
 
+        // Manually calculate axiom parameters
         for(let i = 0; i < this.axiomParams.length; ++i)
         {
             if(!this.axiomParams[i])
@@ -531,8 +676,6 @@ class ParametricLSystem
         }
 
         this.ignoreList = new Set(ignoreList);
-        // This is a context ignore list. Turtle ignore list is separate.
-        this.ctxIgnoreList = new Set('FfT+-&^\\/|{.}%~$');
 
         this.RNG = new Xorshift(seed);
         this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate() *
@@ -637,7 +780,7 @@ class ParametricLSystem
                     idxStack.pop();
                     break;
                 default:
-                    let ignored = this.ctxIgnoreList.has(sequence[i]);
+                    let ignored = CTX_IGNORE_LIST.has(sequence[i]);
                     if(ignored)
                         break;
                     
@@ -1008,7 +1151,1114 @@ class ParametricLSystem
     }
 }
 
-let a = new ParametricLSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5,C:0.5'], 30, 1);
+/**
+ * The renderer handles all logic for drawing the L-system.
+ */
+class Renderer
+{
+    /**
+     * @constructor
+     * @param {LSystem} system the L-system to be handled.
+     * @param {string} figureScale the zoom level expression.
+     * @param {boolean} cameraMode the camera mode.
+     * @param {string} camX the camera's x-axis centre.
+     * @param {string} camY the camera's y-axis centre.
+     * @param {string} camZ the camera's z-axis centre.
+     * @param {number} followFactor the camera's cursor-following speed.
+     * @param {number} loopMode the renderer's looping mode.
+     * @param {boolean} upright whether to rotate the system around the z-axis
+     * by 90 degrees.
+     * @param {boolean} quickDraw whether to skip through straight lines on the
+     * way forward.
+     * @param {boolean} quickBacktrack whether to skip through straight lines on
+     * the way backward.
+     * @param {boolean} loadModels whether to load dedicated models for symbols.
+     * @param {boolean} backtrackTail whether to backtrack at the end of a loop.
+     * @param {boolean} hesitateApex whether to stutter for 1 tick at apices.
+     * @param {boolean} hesitateFork whether to stutter for 1 tick at forks.
+     */
+    constructor(system, figureScale = 1, cameraMode = 0, camX = 0, camY = 0,
+    camZ = 0, followFactor = 0.15, loopMode = 0, upright = false,
+    quickDraw = false, quickBacktrack = false, loadModels = true,
+    backtrackTail = false, hesitateApex = true, hesitateFork = true)
+    {
+        /**
+         * @type {LSystem} the L-system being handled.
+         */
+        this.system = system;
+        /**
+         * @type {string} kept for comparison in the renderer menu.
+         */
+        this.figScaleStr = figureScale.toString();
+        /**
+         * @type {MathExpression} the figure scale expression.
+         */
+        this.figScaleExpr = MathExpression.parse(this.figScaleStr);
+        /**
+         * @type {number} the calculated figure scale.
+         */
+        this.figureScale = 1;
+        /**
+         * @type {boolean} the camera mode.
+         */
+        this.cameraMode = Math.round(Math.min(Math.max(cameraMode, 0), 2));
+        /**
+         * @type {string} kept for comparison in the renderer menu.
+         */
+        this.camXStr = camX.toString();
+        /**
+         * @type {string} kept for comparison in the renderer menu.
+         */
+        this.camYStr = camY.toString();
+        /**
+         * @type {string} kept for comparison in the renderer menu.
+         */
+        this.camZStr = camZ.toString();
+        /**
+         * @type {MathExpression} the camera x expression.
+         */
+        this.camXExpr = MathExpression.parse(this.camXStr);
+        /**
+         * @type {MathExpression} the camera y expression.
+         */
+        this.camYExpr = MathExpression.parse(this.camYStr);
+        /**
+         * @type {MathExpression} the camera z expression.
+         */
+        this.camZExpr = MathExpression.parse(this.camZStr);
+        /**
+         * @type {Vector3} the calculated static camera coordinates.
+         */
+        this.camCentre = new Vector3(0, 0, 0);
+        /**
+         * @type {number} the follow factor.
+         */
+        this.followFactor = Math.min(Math.max(followFactor, 0), 1);
+        /**
+         * @type {number} the looping mode.
+         */
+        this.loopMode = Math.round(Math.min(Math.max(loopMode, 0), 2));
+        /**
+         * @type {boolean} the x-axis' orientation.
+         */
+        this.upright = upright;
+        /**
+         * @type {boolean} whether to skip through straight lines on the way
+         * forward.
+         */
+        this.quickDraw = quickDraw;
+        /**
+         * @type {boolean} whether to skip through straight lines on the way
+         * back.
+         */
+        this.quickBacktrack = quickBacktrack;
+        /**
+         * @type {boolean} whether to load models.
+         */
+        this.loadModels = loadModels;
+        /**
+         * @type {boolean} whether to backtrack at the end.
+         */
+        this.backtrackTail = backtrackTail;
+        /**
+         * @type {boolean} whether to hesitate at apices.
+         */
+        this.hesitateApex = hesitateApex;
+        /**
+         * @type {boolean} whether to hesitate at forks.
+         */
+        this.hesitateFork = hesitateFork;
+        /**
+         * @type {Vector3} the turtle's position.
+         */
+        this.state = new Vector3(0, 0, 0);
+        /**
+         * @type {Quaternion} the turtle's orientation.
+         */
+        this.ori = this.upright ? uprightQuat : new Quaternion();
+        /**
+         * @type {string[]} every level of the current system.
+         */
+        this.levels = [];
+        this.levelParams = [];
+        // Only stores one level, temporari
+        this.ancestors = null;
+        this.children = null;
+        /**
+         * @type {number} the current level (updates after buying the variable).
+         */
+        this.lv = -1;
+        /**
+         * @type {number} the maximum level loaded.
+         */
+        this.loaded = -1;
+        /**
+         * @type {number} the load target level.
+         */
+        this.loadTarget = 0;
+        /**
+         * @type {[Vector3, Quaternion][]} stores cursor states for brackets.
+         */
+        this.stack = [];
+        /**
+         * @type {number[]} stores the indices of the other stack.
+         */
+        this.idxStack = [];
+        /**
+         * @type {string[]} keeps the currently rendered models.
+         */
+        this.models = [];
+        this.modelParams = [];
+        /**
+         * @type {number[]} keeps the indices of the other stack.
+         */
+        this.mdi = [];
+        /**
+         * @type {number} the current index of the sequence.
+         */
+        this.i = 0;
+        /**
+         * @type {number} the elapsed time.
+         */
+        this.elapsed = 0;
+        /**
+         * @type {number} the number of turns before the renderer starts working
+         * again.
+         */
+        this.cooldown = 0;
+        /**
+         * @type {Vector3} the last tick's camera position.
+         */
+        this.lastCamera = new Vector3(0, 0, 0);
+        /**
+         * @type {Vector3} the last tick's camera velocity.
+         */
+        this.lastCamVel = new Vector3(0, 0, 0);
+        /**
+         * @type {number} the next index to update for the current level.
+         */
+        this.nextDeriveIdx = 0;
+        /**
+         * @type {number} how many nested polygons currently in (pls keep at 1).
+         */
+        this.polygonMode = 0;
+    }
+
+    /**
+     * Updates the renderer's level.
+     * @param {number} level the target level.
+     * @param {boolean} seedChanged whether the seed has changed.
+     */
+    update(level, seedChanged = false)
+    {
+        let clearGraph = this.loopMode != 2 || level < this.lv || seedChanged;
+
+        if(this.lv != level)
+        {
+            this.reset(clearGraph);
+            this.lv = level;
+            this.figureScale = this.figScaleExpr.evaluate(
+            v => this.getVariable(v)).toNumber();
+            if(this.figureScale == 0)
+                this.figureScale = 1;
+            this.camCentre = new Vector3
+            (
+                this.camXExpr.evaluate(v => this.getVariable(v)).toNumber(),
+                this.camYExpr.evaluate(v => this.getVariable(v)).toNumber(),
+                this.camZExpr.evaluate(v => this.getVariable(v)).toNumber()
+            );
+        }
+
+        this.loadTarget = Math.max(level, this.loadTarget);
+
+        let charCount = 0;
+        for(let i = this.loaded + 1; i <= this.loadTarget; ++i)
+        {
+            // Threshold to prevent maximum statements error
+            if(charCount > maxCharsPerTick)
+                return;
+
+            if(i == 0)
+            {
+                this.levels[i] = this.system.axiom;
+                this.levelParams[i] = this.system.axiomParams;
+                charCount += this.levels[i].length;
+                this.nextDeriveIdx = 0;
+            }
+            else
+            {
+                if(!this.ancestors)
+                {
+                    let at = this.system.getAncestree(this.levels[i - 1]);
+                    this.ancestors = at.ancestors;
+                    this.children = at.children;
+                    charCount += this.ancestors.length;
+                }
+                let ret = this.system.derive(this.levels[i - 1],
+                this.levelParams[i - 1], this.ancestors, this.children,
+                this.nextDeriveIdx);
+                if(this.nextDeriveIdx == 0)
+                {
+                    this.levels[i] = ret.result;
+                    this.levelParams[i - 1] = ret.params;
+                }
+                else
+                {
+                    this.levels[i] += ret.result;
+                    this.levelParams[i - 1].push(...ret.params);
+                }
+
+                this.nextDeriveIdx = ret.next;
+                charCount += ret.result.length;
+            }
+            if(this.nextDeriveIdx == 0)
+            {
+                ++this.loaded;
+                this.ancestors = null;
+                this.children = null;
+            }
+            else
+                return;
+        }
+        this.reset(clearGraph);
+    }
+    /**
+     * Resets the renderer.
+     * @param {boolean} clearGraph whether to clear the graph.
+     */
+    reset(clearGraph = true)
+    {
+        this.state = new Vector3(0, 0, 0);
+        this.ori = this.upright ? uprightQuat : new Quaternion();
+        this.stack = [];
+        this.idxStack = [];
+        this.i = 0;
+        this.models = [];
+        this.modelParams = [];
+        this.mdi = [];
+        this.cooldown = 0;
+        this.polygonMode = 0;
+        if(clearGraph)
+        {
+            this.elapsed = 0;
+            time = 0;
+            theory.clearGraph();
+        }
+        theory.invalidateTertiaryEquation();
+    }
+    /**
+     * Configures every parameter of the renderer, except the system.
+     * @param {string} figureScale the zoom level expression.
+     * @param {boolean} cameraMode the camera mode.
+     * @param {string} camX the camera's x-axis centre.
+     * @param {string} camY the camera's y-axis centre.
+     * @param {string} camZ the camera's z-axis centre.
+     * @param {number} followFactor the camera's cursor-following speed.
+     * @param {number} loopMode the renderer's looping mode.
+     * @param {boolean} upright whether to rotate the system around the z-axis
+     * by 90 degrees.
+     * @param {boolean} quickDraw whether to skip through straight lines on the
+     * way forward.
+     * @param {boolean} quickBacktrack whether to skip through straight lines
+     * on the way backward.
+     * @param {boolean} loadModels whether to load dedicated models for symbols.
+     * @param {boolean} backtrackTail whether to backtrack at the end of a loop.
+     * @param {boolean} hesitateApex whether to stutter for 1 tick at apices.
+     * @param {boolean} hesitateFork whether to stutter for 1 tick at forks.
+     */
+    configure(figureScale, cameraMode, camX, camY, camZ, followFactor,
+    loopMode, upright, quickDraw, quickBacktrack, loadModels, backtrackTail,
+    hesitateApex, hesitateFork)
+    {
+        let requireReset = (figureScale !== this.figScaleStr) ||
+        (upright != this.upright) || (quickDraw != this.quickDraw) ||
+        (quickBacktrack != this.quickBacktrack) ||
+        (loadModels != this.loadModels) ||
+        (hesitateApex != this.hesitateApex) ||
+        (hesitateFork != this.hesitateFork);
+
+        this.figScaleStr = figureScale.toString();
+        this.figScaleExpr = MathExpression.parse(this.figScaleStr);
+        this.figureScale = this.figScaleExpr.evaluate(
+        v => this.getVariable(v)).toNumber();
+        if(this.figureScale == 0)
+            this.figureScale = 1;
+        this.cameraMode = cameraMode;
+        this.camXStr = camX.toString();
+        this.camYStr = camY.toString();
+        this.camZStr = camZ.toString();
+        this.camXExpr = MathExpression.parse(this.camXStr);
+        this.camYExpr = MathExpression.parse(this.camYStr);
+        this.camZExpr = MathExpression.parse(this.camZStr);
+        this.camCentre = new Vector3
+        (
+            this.camXExpr.evaluate(v => this.getVariable(v)).toNumber(),
+            this.camYExpr.evaluate(v => this.getVariable(v)).toNumber(),
+            this.camZExpr.evaluate(v => this.getVariable(v)).toNumber()
+        );
+        this.followFactor = followFactor;
+        this.loopMode = loopMode;
+        this.upright = upright;
+        this.quickDraw = quickDraw;
+        this.quickBacktrack = quickBacktrack;
+        this.loadModels = loadModels;
+        this.backtrackTail = backtrackTail;
+        this.hesitateApex = hesitateApex;
+        this.hesitateFork = hesitateFork;
+
+        if(requireReset)
+            this.reset();
+    }
+    /**
+     * Configures only the parameters related to the static camera mode.
+     * @param {string} figureScale the zoom level expression.
+     * @param {string} camX the camera's x-axis centre.
+     * @param {string} camY the camera's y-axis centre.
+     * @param {string} camZ the camera's z-axis centre.
+     * @param {boolean} upright whether to rotate the system around the z-axis
+     * by 90 degrees.
+     */
+    configureStaticCamera(figureScale, camX, camY, camZ, upright)
+    {
+        let requireReset = (figureScale !== this.figScaleStr) ||
+        (upright != this.upright);
+
+        this.figScaleStr = figureScale.toString();
+        this.figScaleExpr = MathExpression.parse(this.figScaleStr);
+        this.figureScale = this.figScaleExpr.evaluate(
+        v => this.getVariable(v)).toNumber();
+        if(this.figureScale == 0)
+            this.figureScale = 1;
+        this.camXStr = camX.toString();
+        this.camYStr = camY.toString();
+        this.camZStr = camZ.toString();
+        this.camXExpr = MathExpression.parse(this.camXStr);
+        this.camYExpr = MathExpression.parse(this.camYStr);
+        this.camZExpr = MathExpression.parse(this.camZStr);
+        this.camCentre = new Vector3
+        (
+            this.camXExpr.evaluate(v => this.getVariable(v)).toNumber(),
+            this.camYExpr.evaluate(v => this.getVariable(v)).toNumber(),
+            this.camZExpr.evaluate(v => this.getVariable(v)).toNumber()
+        );
+        this.upright = upright;
+
+        if(requireReset)
+            this.reset();
+    }
+    /**
+     * Applies a new L-system to the renderer.
+     * @param {LSystem} system the new system.
+     */
+    set constructSystem(system)
+    {
+        this.system = system;
+        this.levels = [];
+        this.levelParams = [];
+        this.nextDeriveIdx = 0;
+        this.loaded = -1;
+        this.loadTarget = 0;
+        if(resetLvlOnConstruct)
+            l.level = 0;
+        this.update(l.level);
+    }
+    /**
+     * Sets the seed of the current system.
+     * @param {number} seed the seed.
+     */
+    set seed(seed)
+    {
+        this.system.seed = seed;
+        this.nextDeriveIdx = 0;
+        this.loaded = -1;
+        this.loadTarget = this.lv;
+        this.update(this.lv, true);
+    }
+    /**
+     * Moves the cursor forward.
+     */
+    forward(distance = 1)
+    {
+        this.state += this.ori.headingVector * distance;
+    }
+    /**
+     * Ticks the clock.
+     * @param {number} dt the amount of time passed.
+     */
+    tick(dt)
+    {
+        if(this.lv > this.loaded + 1 ||
+        typeof this.levels[this.lv] === 'undefined' ||
+        this.levels[this.lv].length == 0)
+            return;
+
+        if(this.i >= this.levels[this.lv].length && this.loopMode == 0)
+            if(!this.backtrackTail || this.stack.length == 0)
+                return;
+
+        this.elapsed += dt;
+    }
+    /**
+     * Computes the next cursor position internally.
+     * @param {number} level the level to be drawn.
+     */
+    draw(level, onlyUpdate = false)
+    {
+        /*
+        Behold the broken monster patched by sheer duct tape.
+        I can guarantee that because the game runs on one thread, the renderer
+        would always load faster than it draws. Unless you make a rule that 
+        spawns 10000 plus signs. Please don't do it.
+        */
+        if(level > this.loaded)
+            this.update(level);
+
+        // You can't believe how many times I have to type this typeof clause.
+        if(level > this.loaded + 1 ||
+        typeof this.levels[this.lv] === 'undefined')
+            return;
+
+        if(onlyUpdate)
+            return;
+        
+        // This is to prevent the renderer from skipping the first point.
+        if(this.elapsed <= 0.101)
+            return;
+
+        /*
+        Don't worry, it'll not run forever. This is just to prevent the renderer
+        from hesitating for 1 tick every loop.
+        */
+        let j, t, moved;
+        let loopLimit = 2;  // Shenanigans may arise with models? Try this
+        for(j = 0; j < loopLimit; ++j)
+        {
+            if(this.cooldown > 0 && this.polygonMode <= 0)
+            {
+                --this.cooldown;
+                return;
+            }
+
+            if(this.models.length > 0)
+            {
+                // Unreadable pile of shit
+                for(; this.mdi[this.mdi.length - 1] <
+                this.models[this.models.length - 1].length;
+                ++this.mdi[this.mdi.length - 1])
+                {
+                    switch(this.models[this.models.length - 1][
+                    this.mdi[this.mdi.length - 1]])
+                    {
+                        case ' ':
+                            log('Blank space detected.')
+                            break;
+                        case '+':
+                            if(this.modelParams[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]])
+                                this.ori = this.ori.rotate(this.modelParams[
+                                this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]][0].toNumber(),
+                                '+');
+                            else
+                                this.ori = this.system.rotations.get('+').mul(
+                                this.ori);
+                            break;
+                        case '-':
+                            if(this.modelParams[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]])
+                                this.ori = this.ori.rotate(this.modelParams[
+                                this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]][0].toNumber(),
+                                '-');
+                            else
+                                this.ori = this.system.rotations.get('-').mul(
+                                this.ori);
+                            break;
+                        case '&':
+                            if(this.modelParams[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]])
+                                this.ori = this.ori.rotate(this.modelParams[
+                                this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]][0].toNumber(),
+                                '&');
+                            else
+                                this.ori = this.system.rotations.get('&').mul(
+                                this.ori);
+                            break;
+                        case '^':
+                            if(this.modelParams[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]])
+                                this.ori = this.ori.rotate(this.modelParams[
+                                this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]][0].toNumber(),
+                                '^');
+                            else
+                                this.ori = this.system.rotations.get('^').mul(
+                                this.ori);
+                            break;
+                        case '\\':
+                            if(this.modelParams[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]])
+                                this.ori = this.ori.rotate(this.modelParams[
+                                this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]][0].toNumber(),
+                                '\\');
+                            else
+                                this.ori = this.system.rotations.get('\\').mul(
+                                this.ori);
+                            break;
+                        case '/':
+                            if(this.modelParams[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]])
+                                this.ori = this.ori.rotate(this.modelParams[
+                                this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]][0].toNumber(),
+                                '/');
+                            else
+                                this.ori = this.system.rotations.get('/').mul(
+                                this.ori);
+                            break;
+                        case '|':
+                            this.ori = zUpQuat.mul(this.ori);
+                            break;
+                        case '$':
+                            this.ori = this.ori.alignToVertical();
+                            break;
+                        case 'T':
+                            if(this.modelParams[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]])
+                                this.ori = this.ori.applyTropism(
+                                this.modelParams[this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]][0].toNumber());
+                            else
+                                this.ori = this.ori.applyTropism(
+                                this.system.tropism);
+                            break;
+                        case '~':
+                            if(!this.system.models.has(
+                            this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1] + 1]))
+                                break;
+
+                            ++this.mdi[this.mdi.length - 1];
+                            let model = this.system.deriveModel(this.models[
+                            this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]], this.modelParams[
+                            this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]]);
+
+                            this.models.push(model.result);
+                            this.modelParams.push(model.params);
+                            this.mdi.push(0);
+                            return;
+                        case '[':
+                            this.idxStack.push(this.stack.length);
+                            this.stack.push([this.state, this.ori]);
+                            break;
+                        case ']':
+                            if(this.cooldown > 0 && this.polygonMode <= 0)
+                            {
+                                --this.cooldown;
+                                return;
+                            }
+
+                            if(this.stack.length == 0)
+                            {
+                                log('You\'ve clearly made a bracket error.');
+                                break;
+                            }
+
+                            moved = this.state !==
+                            this.stack[this.stack.length - 1][0];
+
+                            t = this.stack.pop();
+                            this.state = t[0];
+                            this.ori = t[1];
+                            if(this.stack.length ==
+                            this.idxStack[this.idxStack.length - 1])
+                            {
+                                this.idxStack.pop();
+                                if(moved)
+                                    this.cooldown = 1;
+                                if(this.hesitateFork && this.polygonMode <= 0)
+                                {
+                                    ++this.mdi[this.mdi.length - 1];
+                                    return;
+                                }
+                                else
+                                {
+                                    break;
+                                }
+                            }
+                            if(this.polygonMode <= 0)
+                                return;
+                            else
+                            {
+                                --this.mdi[this.mdi.length - 1];
+                                break;
+                            }
+                        case '%':
+                            // Nothing to do here
+                            break;
+                        case '{':        
+                            ++this.polygonMode;
+                            break;
+                        case '}':
+                            --this.polygonMode;
+                            break;
+                        case '.':
+                            if(this.polygonMode <= 0)
+                                log('You cannot register a vertex outside of ' +
+                                'polygon drawing.');
+                            else
+                                ++this.mdi[this.mdi.length - 1];
+                            return;
+                        default:
+                            if(this.cooldown > 0 && this.polygonMode <= 0)
+                            {
+                                --this.cooldown;
+                                return;
+                            }
+
+                            let ignored = this.system.ignoreList.has(
+                            this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]]) ||
+                            this.loadModels && this.system.models.has(
+                            this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]]);
+                            let breakAhead = BACKTRACK_LIST.has(
+                            this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1] + 1]);
+                            let btAhead = this.models[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1] + 1] == ']' ||
+                            this.mdi[this.mdi.length - 1] ==
+                            this.models[this.models.length - 1].length - 1;
+
+                            if(this.hesitateApex && btAhead)
+                                this.cooldown = 1;
+
+                            if(this.quickDraw && breakAhead)
+                                this.cooldown = 1;
+
+                            moved = this.stack.length == 0 ||
+                            (this.stack.length > 0 && this.state !==
+                            this.stack[this.stack.length - 1][0]);
+
+                            if(!this.quickBacktrack && moved && !ignored)
+                                this.stack.push([this.state, this.ori]);
+
+                            if(!ignored)
+                            {
+                                if(this.models[this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]] == 'F' &&
+                                this.modelParams[this.models.length - 1][
+                                this.mdi[this.mdi.length - 1]])
+                                    this.forward(this.modelParams[
+                                    this.models.length - 1][
+                                    this.mdi[this.mdi.length - 1]][
+                                    0].toNumber());
+                                else
+                                    this.forward();
+                            }
+
+                            if(this.quickBacktrack && breakAhead)
+                                this.stack.push([this.state, this.ori]);
+                            
+                            if(this.quickDraw && !btAhead)
+                                break;
+                            else if(this.polygonMode <= 0)
+                            {
+                                ++this.mdi[this.mdi.length - 1];
+                                return;
+                            }
+                            else
+                                break;
+                    }
+                }
+                this.models.pop();
+                this.modelParams.pop();
+                this.mdi.pop();
+                ++loopLimit;
+                // continue prevents the regular loop from running
+                continue;
+            }
+            for(; this.i < this.levels[this.lv].length; ++this.i)
+            {
+                // if(this.models.length > 0)
+                //     break;
+                switch(this.levels[this.lv][this.i])
+                {
+                    case ' ':
+                        log('Blank space detected.')
+                        break;
+                    case '+':
+                        this.ori = this.system.rotations.get('+').mul(this.ori);
+                        break;
+                    case '-':
+                        this.ori = this.system.rotations.get('-').mul(this.ori);
+                        break;
+                    case '&':
+                        this.ori = this.system.rotations.get('&').mul(this.ori);
+                        break;
+                    case '^':
+                        this.ori = this.system.rotations.get('^').mul(this.ori);
+                        break;
+                    case '\\':
+                        this.ori = this.system.rotations.get('\\').mul(
+                        this.ori);
+                        break;
+                    case '/':
+                        this.ori = this.system.rotations.get('/').mul(this.ori);
+                        break;
+                    case '|':
+                        this.ori = zUpQuat.mul(this.ori);
+                        break;
+                    case '$':
+                        this.ori = this.ori.alignToVertical();
+                        break;
+                    case 'T':
+                        this.ori = this.ori.applyTropism(this.system.tropism);
+                        break;
+                    case '~':
+                        if(!this.loadModels || !this.system.models.has(
+                        this.levels[this.lv][this.i + 1]))
+                            break;
+
+                        ++this.i;
+                        this.models.push(this.system.models.get(
+                        this.levels[this.lv][this.i]));
+                        this.mdi.push(0);
+                        return;
+                    case '[':
+                        this.idxStack.push(this.stack.length);
+                        this.stack.push([this.state, this.ori]);
+                        break;
+                    case ']':
+                        if(this.cooldown > 0 && this.polygonMode <= 0)
+                        {
+                            --this.cooldown;
+                            return;
+                        }
+
+                        if(this.stack.length == 0)
+                        {
+                            log('You\'ve clearly made a bracket error.');
+                            break;
+                        }
+
+                        moved = this.state !==
+                        this.stack[this.stack.length - 1][0];
+
+                        t = this.stack.pop();
+                        this.state = t[0];
+                        this.ori = t[1];
+                        if(this.stack.length ==
+                        this.idxStack[this.idxStack.length - 1])
+                        {
+                            this.idxStack.pop();
+                            if(moved)
+                                this.cooldown = 1;
+                            if(this.hesitateFork && this.polygonMode <= 0)
+                            {
+                                ++this.i;
+                                return;
+                            }
+                            else
+                            {
+                                break;
+                            }
+                        }
+                        if(this.polygonMode <= 0)
+                            return;
+                        else
+                        {
+                            --this.i;
+                            break;
+                        }
+                    case '%':
+                        // Nothing to do here, all handled by LSystem derivation
+                        break;
+                    case '{':        
+                        ++this.polygonMode;
+                        break;
+                    case '}':
+                        --this.polygonMode;
+                        break;
+                    case '.':
+                        if(this.polygonMode <= 0)
+                            log('You cannot register a vertex outside of ' +
+                            'polygon drawing.');
+                        else
+                            ++this.i;
+                        return;
+                    default:
+                        if(this.cooldown > 0 && this.polygonMode <= 0)
+                        {
+                            --this.cooldown;
+                            return;
+                        }
+
+                        let ignored = this.system.ignoreList.has(
+                        this.levels[this.lv][this.i]) || this.loadModels &&
+                        this.system.models.has(this.levels[this.lv][this.i]);
+                        let breakAhead = BACKTRACK_LIST.has(
+                        this.levels[this.lv][this.i + 1]);
+                        let btAhead = this.levels[this.lv][this.i + 1] == ']' ||
+                        this.i == this.levels[this.lv].length - 1;
+
+                        if(this.hesitateApex && btAhead)
+                            this.cooldown = 1;
+
+                        if(this.quickDraw && breakAhead)
+                            this.cooldown = 1;
+
+                        moved = this.stack.length == 0 ||
+                        (this.stack.length > 0 && this.state !==
+                        this.stack[this.stack.length - 1][0]);
+
+                        if(!this.quickBacktrack && moved && !ignored)
+                            this.stack.push([this.state, this.ori]);
+
+                        if(!ignored)
+                            this.forward();
+
+                        if(this.quickBacktrack && breakAhead)
+                            this.stack.push([this.state, this.ori]);
+                        
+                        if(this.quickDraw && !btAhead)
+                            break;
+                        else if(this.polygonMode <= 0)
+                        {
+                            ++this.i;
+                            return;
+                        }
+                        else
+                            break;
+                }
+            }
+            // This is what the renderer will do at the end of a loop
+            if(!this.backtrackTail || this.stack.length == 0)
+            {
+                switch(this.loopMode)
+                {
+                    case 2:
+                        l.buy(1);
+                        break;
+                    case 1:
+                        this.reset(false);
+                        break;
+                    case 0:
+                        return;
+                }
+            }
+            else
+            {
+                let t = this.stack.pop();
+                this.state = t[0];
+                this.ori = t[1];
+                return;
+            }
+        }
+    }
+    /**
+     * Return swizzled coordinates according to the in-game system. The game
+     * uses Android UI coordinates, which is X-right Y-down Z-face.
+     * @param {Vector3} coords the original coordinates.
+     * @returns {Vector3}
+     */
+    swizzle(coords)
+    {
+        // The game uses left-handed Y-up, aka Y-down coordinates.
+        return new Vector3(coords.x, -coords.y, coords.z);
+    }
+    /**
+     * Returns a variable's value for maths expressions.
+     * @param {string} v the variable's name.
+     * @returns {BigNumber}
+     */
+    getVariable(v)
+    {
+        switch(v)
+        {
+            case 'lv': return BigNumber.from(this.lv);
+        }
+        return null;
+    }
+    /**
+     * Returns the camera centre's coordinates.
+     * @returns {Vector3}
+     */
+    get centre()
+    {
+        if(this.cameraMode)
+            return -this.cursor;
+
+        return this.swizzle(-this.camCentre / this.figureScale);
+    }
+    /**
+     * Returns the turtle's coordinates.
+     * @returns {Vector3}
+     */
+    get cursor()
+    {
+        let coords = this.state / this.figureScale;
+        return this.swizzle(coords);
+    }
+    /**
+     * Returns the camera's coordinates.
+     * @returns {Vector3}
+     */
+    get camera()
+    {
+        let newCamera;
+        switch(this.cameraMode)
+        {
+            case 2:
+                // I accidentally discovered Bézier curves unknowingly.
+                let dist = this.centre - this.lastCamera;
+                newCamera = this.lastCamera + dist * this.followFactor ** 2 +
+                this.lastCamVel * (1 - this.followFactor) ** 2;
+                this.lastCamVel = newCamera - this.lastCamera;
+                this.lastCamera = newCamera;
+                return newCamera;
+            case 1:
+                newCamera = this.centre * this.followFactor +
+                this.lastCamera * (1 - this.followFactor);
+                this.lastCamVel = newCamera - this.lastCamera;
+                this.lastCamera = newCamera;
+                return newCamera;
+            case 0:
+                return this.centre;
+        }
+    }
+    /**
+     * Returns the static camera configuration.
+     * @returns {[string, string, string, string, boolean]}
+     */
+    get staticCamera()
+    {
+        return [
+            this.figScaleStr,
+            this.camXStr,
+            this.camYStr,
+            this.camZStr,
+            this.upright
+        ];
+    }
+    /**
+     * Returns the elapsed time.
+     * @returns {[number, number]}
+     */
+    get elapsedTime()
+    {
+        return [
+            Math.floor(this.elapsed / 60),
+            this.elapsed % 60
+        ];
+    }
+    /**
+     * Returns the current progress on this level, in a fraction.
+     * @returns {[number, number]}
+     */
+    get progressFrac()
+    {
+        return [this.i, this.levels[this.lv].length];
+    }
+    /**
+     * Returns the current progress on this level, in percent.
+     * @returns {number}
+     */
+    get progressPercent()
+    {
+        if(typeof this.levels[this.lv] === 'undefined')
+            return 0;
+
+        let pf = this.progressFrac;
+        let result = pf[0] * 100 / pf[1];
+        if(isNaN(result))
+            result = 0;
+
+        return result;
+    }
+    /**
+     * Returns the current progress fraction as a string.
+     * @returns {string}
+     */
+    get progressString()
+    {
+        let pf = this.progressFrac;
+        return `i=${pf[0]}/${pf[1]}`;
+    }
+    /**
+     * Returns a loading message.
+     * @returns {string}
+     */
+    get loadingString()
+    {
+        let len = typeof this.levels[this.loaded + 1] === 'undefined' ? 0 :
+        this.levels[this.loaded + 1].length;
+        return Localization.format(getLoc('rendererLoading'), this.loaded + 1,
+        len);
+    }
+    /**
+     * Returns the cursor's position as a string.
+     * @returns {string}
+     */
+    get stateString()
+    {
+        if(typeof this.levels[this.lv] === 'undefined')
+            return this.loadingString;
+
+        return `\\begin{matrix}x=${getCoordString(this.state.x)},&
+        y=${getCoordString(this.state.y)},&z=${getCoordString(this.state.z)},&
+        ${this.progressString}\\end{matrix}`;
+    }
+    /**
+     * Returns the cursor's orientation as a string.
+     * @returns {string}
+     */
+    get oriString()
+    {
+        if(typeof this.levels[this.lv] === 'undefined')
+            return this.loadingString;
+
+        return `\\begin{matrix}q=${this.ori.toString()},&${this.progressString}
+        \\end{matrix}`;
+    }
+    /**
+     * Returns the object representation of the renderer.
+     * @returns {object}
+     */
+    get object()
+    {
+        return {
+            figureScale: this.figScaleStr,
+            cameraMode: this.cameraMode,
+            camX: this.camXStr,
+            camY: this.camYStr,
+            camZ: this.camZStr,
+            followFactor: this.followFactor,
+            loopMode: this.loopMode,
+            upright: this.upright,
+            loadModels: this.loadModels,
+            quickDraw: this.quickDraw,
+            quickBacktrack: this.quickBacktrack,
+            backtrackTail: this.backtrackTail,
+            hesitateApex: this.hesitateApex,
+            hesitateFork: this.hesitateFork
+        }
+    }
+    /**
+     * Returns the renderer's string representation.
+     * @returns {string}
+     */
+    toString()
+    {
+        return JSON.stringify(this.object, null, 4);
+    }
+}
+
+let a = new LSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5,C:0.5'], 30, 1);
 // A(0)
 let a0 = 'A';
 let a0p = [[BigNumber.ZERO]];

From d75ffb3f81148fcdff592310b4210bf3a446cada Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 17:10:54 +0700
Subject: [PATCH 61/94] (Untested) Ported Renderer

---
 parametric.js | 518 +++++++++++++++++++++++++++++++++++++++++++++++---
 1 file changed, 492 insertions(+), 26 deletions(-)

diff --git a/parametric.js b/parametric.js
index 8f4f1f8..09c681b 100644
--- a/parametric.js
+++ b/parametric.js
@@ -1892,23 +1892,52 @@ class Renderer
                         log('Blank space detected.')
                         break;
                     case '+':
-                        this.ori = this.system.rotations.get('+').mul(this.ori);
+                        if(this.levelParams[this.lv][this.i])
+                            this.ori = this.ori.rotate(this.levelParams[
+                            this.lv][this.i][0].toNumber(), '+');
+                        else
+                            this.ori = this.system.rotations.get('+').mul(
+                            this.ori);
                         break;
                     case '-':
-                        this.ori = this.system.rotations.get('-').mul(this.ori);
+                        if(this.levelParams[this.lv][this.i])
+                            this.ori = this.ori.rotate(this.levelParams[
+                            this.lv][this.i][0].toNumber(), '-');
+                        else
+                            this.ori = this.system.rotations.get('-').mul(
+                            this.ori);
                         break;
                     case '&':
-                        this.ori = this.system.rotations.get('&').mul(this.ori);
+                        if(this.levelParams[this.lv][this.i])
+                            this.ori = this.ori.rotate(this.levelParams[
+                            this.lv][this.i][0].toNumber(), '&');
+                        else
+                            this.ori = this.system.rotations.get('&').mul(
+                            this.ori);
                         break;
                     case '^':
-                        this.ori = this.system.rotations.get('^').mul(this.ori);
+                        if(this.levelParams[this.lv][this.i])
+                            this.ori = this.ori.rotate(this.levelParams[
+                            this.lv][this.i][0].toNumber(), '^');
+                        else
+                            this.ori = this.system.rotations.get('^').mul(
+                            this.ori);
                         break;
                     case '\\':
-                        this.ori = this.system.rotations.get('\\').mul(
-                        this.ori);
+                        if(this.levelParams[this.lv][this.i])
+                            this.ori = this.ori.rotate(this.levelParams[
+                            this.lv][this.i][0].toNumber(), '\\');
+                        else
+                            this.ori = this.system.rotations.get('\\').mul(
+                            this.ori);
                         break;
                     case '/':
-                        this.ori = this.system.rotations.get('/').mul(this.ori);
+                        if(this.levelParams[this.lv][this.i])
+                            this.ori = this.ori.rotate(this.levelParams[
+                            this.lv][this.i][0].toNumber(), '/');
+                        else
+                            this.ori = this.system.rotations.get('/').mul(
+                            this.ori);
                         break;
                     case '|':
                         this.ori = zUpQuat.mul(this.ori);
@@ -1917,7 +1946,12 @@ class Renderer
                         this.ori = this.ori.alignToVertical();
                         break;
                     case 'T':
-                        this.ori = this.ori.applyTropism(this.system.tropism);
+                        if(this.levelParams[this.lv][this.i])
+                            this.ori = this.ori.applyTropism(this.levelParams[
+                            this.lv][this.i][0].toNumber());
+                        else
+                            this.ori = this.ori.applyTropism(
+                            this.system.tropism);
                         break;
                     case '~':
                         if(!this.loadModels || !this.system.models.has(
@@ -1925,8 +1959,11 @@ class Renderer
                             break;
 
                         ++this.i;
-                        this.models.push(this.system.models.get(
-                        this.levels[this.lv][this.i]));
+                        let model = this.system.deriveModel(this.levels[
+                        this.lv][this.i], this.levelParams[this.lv][this.i]);
+
+                        this.models.push(model.result);
+                        this.modelParams.push(model.params);
                         this.mdi.push(0);
                         return;
                     case '[':
@@ -2020,7 +2057,14 @@ class Renderer
                             this.stack.push([this.state, this.ori]);
 
                         if(!ignored)
-                            this.forward();
+                        {
+                            if(this.levels[this.lv][this.i] == 'F' &&
+                            this.levelParams[this.lv][this.i])
+                                this.forward(this.levelParams[this.lv][this.i][
+                                0].toNumber());
+                            else
+                                this.forward();
+                        }
 
                         if(this.quickBacktrack && breakAhead)
                             this.stack.push([this.state, this.ori]);
@@ -2258,18 +2302,440 @@ class Renderer
     }
 }
 
-let a = new LSystem('[+(30)G]F/(180)A(2)', ['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5,C:0.5'], 30, 1);
-// A(0)
-let a0 = 'A';
-let a0p = [[BigNumber.ZERO]];
-let at0 = a.getAncestree(a0);
-let tmpDeriv = a.derive(a0, a0p, at0.ancestors, at0.children, 0);
-let a1 = tmpDeriv.result;
-let a1p = tmpDeriv.params;
-log(a.reconstruct(a1, a1p));
-
-let at1 = a.getAncestree(a1);
-tmpDeriv = a.derive(a1, a1p, at1.ancestors, at1.children, 0);
-let a2 = tmpDeriv.result;
-let a2p = tmpDeriv.params;
-log(a.reconstruct(a2, a2p));
+/**
+ * Represents a bunch of buttons for variable controls.
+ */
+class VariableControls
+{
+    /**
+     * @constructor
+     * @param {Upgrade} variable the variable being controlled.
+     * @param {boolean} useAnchor whether to use anchor controls.
+     * @param {number} quickbuyAmount the amount of levels to buy when held.
+     */
+    constructor(variable, useAnchor = false, quickbuyAmount = 10)
+    {
+        /**
+         * @type {Upgrade} the variable being controlled.
+         */
+        this.variable = variable;
+        /**
+         * @type {Frame} the variable button.
+         */
+        this.varBtn = null;
+        /**
+         * @type {Frame} the refund button.
+         */
+        this.refundBtn = null;
+        /**
+         * @type {Frame} the buy button.
+         */
+        this.buyBtn = null;
+
+        /**
+         * @type {boolean} whether to use anchor controls.
+         */
+        this.useAnchor = useAnchor;
+        /**
+         * @type {number} the anchored variable level.
+         */
+        this.anchor = this.variable.level;
+        /**
+         * @type {number} whether the anchor is on.
+         */
+        this.anchorActive = false;
+        /**
+         * @type {number} the amount of levels to buy when held.
+         */
+        this.quickbuyAmount = quickbuyAmount;
+    }
+
+    /**
+     * Updates all buttons, visually.
+     */
+    updateAllButtons()
+    {
+        this.updateDescription();
+        this.updateRefundButton();
+        this.updateBuyButton();
+    }
+    /**
+     * Updates the variable description written on the button's label.
+     */
+    updateDescription()
+    {
+        this.varBtn.content.text = this.variable.getDescription();
+    }
+    /**
+     * Creates a variable button.
+     * @param {function(void): void} callback when pressed, calls this function.
+     * @param {number} height the button's height.
+     * @returns {Frame}
+     */
+    createVariableButton(callback = null, height = BUTTON_HEIGHT)
+    {
+        if(this.varBtn)
+            return this.varBtn;
+        
+        let frame = ui.createFrame
+        ({
+            heightRequest: height,
+            cornerRadius: 1,
+            padding: new Thickness(10, 2),
+            verticalOptions: LayoutOptions.CENTER,
+            content: ui.createLatexLabel
+            ({
+                text: this.variable.getDescription(),
+                verticalTextAlignment: TextAlignment.CENTER,
+                textColor: Color.TEXT_MEDIUM
+            }),
+            borderColor: Color.TRANSPARENT
+        });
+        if(callback)
+        {
+            frame.borderColor = Color.BORDER;
+            frame.content.textColor = Color.TEXT;
+            frame.onTouched = (e) =>
+            {
+                if(e.type == TouchType.PRESSED)
+                {
+                    frame.borderColor = Color.TRANSPARENT;
+                    frame.content.textColor = Color.TEXT_MEDIUM;
+                }
+                else if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+                {
+                    Sound.playClick();
+                    frame.borderColor = Color.BORDER;
+                    frame.content.textColor = Color.TEXT;
+                    callback();
+                }
+                else if(e.type == TouchType.CANCELLED)
+                {
+                    frame.borderColor = Color.BORDER;
+                    frame.content.textColor = Color.TEXT
+                }
+            }
+        }
+        this.varBtn = frame;
+        return this.varBtn;
+    }
+    /**
+     * Updates the refund button, visually.
+     */
+    updateRefundButton()
+    {
+        this.refundBtn.borderColor = this.variable.level > 0 ? Color.BORDER :
+        Color.TRANSPARENT;
+        this.refundBtn.content.textColor = this.variable.level > 0 ?
+        Color.TEXT : Color.TEXT_MEDIUM;
+    }
+    /**
+     * Creates a refund button.
+     * @param {string} symbol the button's label.
+     * @param {number} height the button's height.
+     * @returns {Frame}
+     */
+    createRefundButton(symbol = '-', height = BUTTON_HEIGHT)
+    {
+        if(this.refundBtn)
+            return this.refundBtn;
+
+        this.refundBtn = ui.createFrame
+        ({
+            heightRequest: height,
+            cornerRadius: 1,
+            padding: new Thickness(10, 2),
+            verticalOptions: LayoutOptions.CENTER,
+            content: ui.createLatexLabel
+            ({
+                text: symbol,
+                horizontalTextAlignment: TextAlignment.CENTER,
+                verticalTextAlignment: TextAlignment.CENTER,
+                textColor: this.variable.level > 0 ? Color.TEXT :
+                Color.TEXT_MEDIUM
+            }),
+            onTouched: (e) =>
+            {
+                if(e.type == TouchType.PRESSED)
+                {
+                    this.refundBtn.borderColor = Color.TRANSPARENT;
+                    this.refundBtn.content.textColor = this.variable.level > 0 ?
+                    Color.TEXT_MEDIUM : Color.TEXT_DARK;
+                }
+                else if(e.type == TouchType.SHORTPRESS_RELEASED)
+                {
+                    Sound.playClick();
+                    this.variable.refund(1);
+                }
+                else if(e.type == TouchType.LONGPRESS)
+                {
+                    Sound.playClick();
+                    if(this.useAnchor)
+                    {
+                        this.anchorActive = true;
+                        if(this.variable.level > 0)
+                            this.anchor = this.variable.level;
+                    }
+                    this.variable.refund(this.quickbuyAmount);
+                }
+                else if(e.type == TouchType.CANCELLED)
+                {
+                    this.updateRefundButton();
+                }
+            },
+            borderColor: this.variable.level > 0 ? Color.BORDER :
+            Color.TRANSPARENT
+        });
+        return this.refundBtn;
+    }
+    /**
+     * Updates the buy button, visually.
+     */
+    updateBuyButton()
+    {
+        this.buyBtn.borderColor = this.variable.level < this.variable.maxLevel ?
+        Color.BORDER : Color.TRANSPARENT;
+        this.buyBtn.content.textColor = this.variable.level <
+        this.variable.maxLevel ? Color.TEXT : Color.TEXT_MEDIUM;
+    }
+    /**
+     * Creates a buy button.
+     * @param {string} symbol the button's label.
+     * @param {number} height the button's height.
+     * @returns {Frame}
+     */
+    createBuyButton(symbol = '+', height = BUTTON_HEIGHT)
+    {
+        if(this.buyBtn)
+            return this.buyBtn;
+
+        this.buyBtn = ui.createFrame
+        ({
+            heightRequest: height,
+            cornerRadius: 1,
+            padding: new Thickness(10, 2),
+            verticalOptions: LayoutOptions.CENTER,
+            content: ui.createLatexLabel
+            ({
+                text: symbol,
+                horizontalTextAlignment: TextAlignment.CENTER,
+                verticalTextAlignment: TextAlignment.CENTER,
+                textColor: this.variable.level < this.variable.maxLevel ?
+                Color.TEXT : Color.TEXT_MEDIUM
+            }),
+            onTouched: (e) =>
+            {
+                if(e.type == TouchType.PRESSED)
+                {
+                    this.buyBtn.borderColor = Color.TRANSPARENT;
+                    this.buyBtn.content.textColor = this.variable.level <
+                    this.variable.maxLevel ? Color.TEXT_MEDIUM :
+                    Color.TEXT_DARK;
+                }
+                else if(e.type == TouchType.SHORTPRESS_RELEASED)
+                {
+                    Sound.playClick();
+                    this.variable.buy(1);
+                }
+                else if(e.type == TouchType.LONGPRESS)
+                {
+                    Sound.playClick();
+                    let q = this.quickbuyAmount;
+                    if(this.useAnchor && this.anchorActive)
+                    {
+                        q = Math.min(q, this.anchor - this.variable.level);
+                        if(q == 0)
+                            q = this.quickbuyAmount;
+                        this.anchorActive = false;
+                    }
+                    for(let i = 0; i < q; ++i)
+                        this.variable.buy(1);
+                }
+                else if(e.type == TouchType.CANCELLED)
+                {
+                    this.updateBuyButton();
+                }
+            },
+            borderColor: this.variable.level < this.variable.maxLevel ?
+            Color.BORDER : Color.TRANSPARENT
+        });
+        return this.buyBtn;
+    }
+}
+
+/**
+ * Measures performance for a piece of code.
+ */
+class Measurer
+{
+    /**
+     * @constructor
+     * @param {string} title the measurement's title.
+     * @param {number} window the sample size.
+     */
+    constructor(title, window = 10)
+    {
+        /**
+         * @type {string} the measurement's title.
+         */
+        this.title = title;
+        /**
+         * @type {number} the sample size.
+         */
+        this.window = window;
+        /**
+         * @type {number} the all-time sum.
+         */
+        this.sum = 0;
+        /**
+         * @type {number} the window sum.
+         */
+        this.windowSum = 0;
+        /**
+         * @type {number} the all-time maximum.
+         */
+        this.max = 0;
+        /**
+         * @type {number[]} recent records.
+         */
+        this.records = [];
+        for(let i = 0; i < this.window; ++i)
+            this.records[i] = 0;
+        /**
+         * @type {number} the elapsed time in ticks.
+         */
+        this.ticksPassed = 0;
+        /**
+         * @type {number} the most recent moment the function was stamped.
+         */
+        this.lastStamp = null;
+    }
+
+    /**
+     * Resets the measurer.
+     */
+    reset()
+    {
+        this.sum = 0;
+        this.windowSum = 0;
+        this.max = 0;
+        this.records = [];
+        for(let i = 0; i < this.window; ++i)
+            this.records[i] = 0;
+        this.ticksPassed = 0;
+        this.lastStamp = null;
+    }
+    /**
+     * Stamps the measurer.
+     */
+    stamp()
+    {
+        if(!this.lastStamp)
+            this.lastStamp = Date.now();
+        else
+        {
+            let closingStamp = Date.now();
+            let i = this.ticksPassed % this.window;
+            this.windowSum -= this.records[i];
+            this.records[i] = closingStamp - this.lastStamp;
+            this.windowSum += this.records[i];
+            this.sum += this.records[i];
+            this.max = Math.max(this.max, this.records[i]);
+            this.lastStamp = null;
+            ++this.ticksPassed;
+        }
+    }
+    /**
+     * Returns the window average.
+     * @returns {number}
+     */
+    get windowAvg()
+    {
+        return this.windowSum / Math.min(this.window, this.ticksPassed);
+    }
+    /**
+     * Returns the all-time average.
+     * @returns {number}
+     */
+    get allTimeAvg()
+    {
+        return this.sum / this.ticksPassed;
+    }
+    /**
+     * Returns the string for the window average.
+     * @returns {string}
+     */
+    get windowAvgString()
+    {
+        if(this.ticksPassed == 0)
+            return '';
+
+        if(!measurePerformance)
+            return '';
+
+        return Localization.format(getLoc('measurement'), this.title,
+        getCoordString(this.max), getCoordString(this.windowAvg),
+        Math.min(this.window, this.ticksPassed));
+    }
+    /**
+     * Returns the string for the all-time average.
+     * @returns {string}
+     */
+    get allTimeAvgString()
+    {
+        if(this.ticksPassed == 0)
+            return '';
+
+        if(!measurePerformance)
+            return '';
+
+        return Localization.format(getLoc('measurement'), this.title,
+        getCoordString(this.max), getCoordString(this.allTimeAvg),
+        this.ticksPassed);
+    }
+}
+
+// const sidewayQuat = new Quaternion(1, 0, 0, 0);
+const uprightQuat = new Quaternion(-Math.sqrt(2)/2, 0, 0, Math.sqrt(2)/2);
+const xUpQuat = new Quaternion(0, 1, 0, 0);
+const yUpQuat = new Quaternion(0, 0, 1, 0);
+const zUpQuat = new Quaternion(0, 0, 0, 1);
+
+let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
+let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');
+let globalRNG = new Xorshift(Date.now());
+let contentsTable = [0];
+let manualSystems = {};
+let tmpSystem = null;
+let tmpSystemName = getLoc('welcomeSystemName');
+let tmpSystemDesc = getLoc('welcomeSystemDesc');
+
+var l, ts;
+// Variable controls
+let lvlControls, tsControls;
+
+// Measure drawing performance
+let drawMeasurer = new Measurer('renderer.draw()', 30);
+let camMeasurer = new Measurer('renderer.camera', 30);
+
+// Start from init
+
+let testSuite = () =>
+{
+    let a = new LSystem('[+(30)G]F/(180)A(2)',['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5,C:0.5'], 30, 1);
+    // A(0)
+    let a0 = 'A';
+    let a0p = [[BigNumber.ZERO]];
+    let at0 = a.getAncestree(a0);
+    let tmpDeriv = a.derive(a0, a0p, at0.ancestors, at0.children, 0);
+    let a1 = tmpDeriv.result;
+    let a1p = tmpDeriv.params;
+    log(a.reconstruct(a1, a1p));
+
+    let at1 = a.getAncestree(a1);
+    tmpDeriv = a.derive(a1, a1p, at1.ancestors, at1.children, 0);
+    let a2 = tmpDeriv.result;
+    let a2p = tmpDeriv.params;
+    log(a.reconstruct(a2, a2p));
+}

From 937564af05b4049446d320f32d44976027df7073 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 18:22:44 +0700
Subject: [PATCH 62/94] Fixed ParaLS parser not working w/o params or cond

---
 classic.js    |   1 +
 parametric.js | 232 +++++++++++++++++++++++++++++++++++++++++++++-----
 2 files changed, 212 insertions(+), 21 deletions(-)

diff --git a/classic.js b/classic.js
index 1e126ee..9282060 100644
--- a/classic.js
+++ b/classic.js
@@ -937,6 +937,7 @@ let getLoc = (name, lang = menuLang) =>
 
 /**
  * Returns a string of a fixed decimal number, with a fairly uniform width.
+ * @param {number} x the number.
  * @returns {string}
  */
 let getCoordString = (x) => x.toFixed(x >= -0.01 ?
diff --git a/parametric.js b/parametric.js
index 09c681b..73f33d0 100644
--- a/parametric.js
+++ b/parametric.js
@@ -121,13 +121,181 @@ const BUTTON_HEIGHT = getBtnSize(ui.screenWidth);
 const SMALL_BUTTON_HEIGHT = getSmallBtnSize(ui.screenWidth);
 const ENTRY_CHAR_LIMIT = 5000;
 const TRIM_SP = /\s+/g;
-const LS_RULE = /(.+):(.+)=(.*)/;
+const LS_RULE = /([^:]+)(:(.+))?=(.*)/;
 // Context doesn't need to check for nested brackets!
 const LS_CONTEXT =
 /((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
 const CTX_IGNORE_LIST = new Set('FfT+-&^\\/|{.}%~$');
 const BACKTRACK_LIST = new Set('+-&^\\/|[$T');
-// TODO: copy from locStrings downward
+
+const locStrings =
+{
+    en:
+    {
+        versionName: 'v1.0, Work in Progress',
+        welcomeSystemName: 'Arrow',
+        welcomeSystemDesc: 'Welcome to L-systems Renderer!',
+        equationOverlayLong: '{0} – {1}\n\n{2}\n\n{3}',
+        equationOverlay: '{0}\n\n{1}',
+
+        rendererLoading: `\\begin{{matrix}}Loading...&\\text{{Stg. {0}}}&({1}
+\\text{{ chars}})\\end{{matrix}}`,
+
+        currencyTime: ' (elapsed)',
+
+        varLvDesc: '\\text{{Stage: }}{0}{1}',
+        varTdDesc: '\\text{{Tick length: }}{0}\\text{{ sec}}',
+        varTdDescInf: '\\text{{Tick length: }}\\infty',
+        varTsDesc: '\\text{{Tickspeed: }}{0}/\\text{{sec}}',
+        upgResumeInfo: 'Resumes the last rendered system',
+
+        saPatienceTitle: 'You\'re watching grass grow.',
+        saPatienceDesc: 'Let the renderer draw a 10-minute long figure or ' +
+        'playlist.',
+        saPatienceHint: 'Be patient.',
+
+        btnSave: 'Save',
+        btnClear: 'Clear All',
+        btnDefault: '* Reset to Defaults',
+        btnAdd: 'Add',
+        btnUp: '▲',
+        btnDown: '▼',
+        btnReroll: 'Reroll',
+        btnConstruct: 'Construct',
+        btnDelete: 'Delete',
+        btnView: 'View',
+        btnClipboard: 'Clipboard',
+        btnOverwrite: 'Overwrite',
+        btnSaveCopy: 'Save as Copy',
+        btnSelect: 'Select',
+        btnSelected: '(Selected)',
+        btnPrev: 'Previous',
+        btnNext: 'Next',
+        btnClose: 'Close',
+        btnImport: 'Import',
+        btnContents: 'Table of\nContents',
+        btnPage: '{0}',
+
+        btnMenuLSystem: 'L-system menu',
+        btnMenuRenderer: 'Renderer menu',
+        btnMenuSave: 'Save/load',
+        btnMenuTheory: 'Settings',
+        btnMenuManual: 'User guide',
+        btnResume: 'Resume – {0}',
+        btnStartMeasure: 'Measure performance',
+        btnEndMeasure: 'Stop measuring',
+
+        measurement: '{0}: max {1}ms, avg {2}ms over {3} ticks',
+
+        rerollSeed: 'You are about to reroll the system\'s seed.',
+        resetRenderer: 'You are about to reset the renderer.',
+
+        menuSequence: '{0} (Stage {1})',
+        labelLevelSeq: 'Stage {0}: {1} chars',
+        labelChars: '({0} chars)',
+
+        menuLSystem: 'L-system Menu',
+        labelAxiom: 'Axiom: ',
+        labelAngle: 'Turning angle (°): ',
+        labelRules: 'Production rules: {0}',
+        labelIgnored: 'Ignored symbols: ',
+        labelTropism: 'Tropism (gravity): ',
+        labelSeed: 'Seed (≠ 0): ',
+
+        menuRenderer: 'Renderer Menu',
+        labelInitScale: '* Initial scale: ',
+        labelFigScale: '* Figure scale: ',
+        labelCamMode: 'Camera mode: {0}',
+        camModes: ['Fixed', 'Linear', 'Quadratic'],
+        labelCamCentre: 'Fixed camera centre (x,): ',
+        labelCamOffset: '... centre (y, z): ',
+        labelFollowFactor: 'Follow factor (0-1): ',
+        labelLoopMode: 'Looping mode: {0}',
+        loopModes: ['Off', 'Stage', 'Playlist'],
+        labelUpright: '* Upright figure: ',
+        labelBTTail: 'Draw tail end: ',
+        labelLoadModels: '* Load models: ',
+        labelQuickdraw: '* Quickdraw: ',
+        labelQuickBT: '* Quick backtrack: ',
+        labelHesitate: '* Stutter on backtrack: ',
+        labelHesitateApex: '* Stutter at apex: ',
+        labelHesitateFork: '* Stutter at fork: ',
+        labelOldTropism: '* Alternate tropism method: ',
+        labelBTList: '* Backtrack list: ',
+        labelRequireReset: '* Modifying this setting will require a reset.',
+
+        menuSave: 'Save/Load Menu',
+        labelCurrentSystem: 'Current system: ',
+        labelSavedSystems: 'Saved systems: {0}',
+        labelApplyCamera: 'Applies static camera: ',
+
+        menuClipboard: 'Clipboard Menu',
+        labelEntryCharLimit: `Warning: This entry has been capped at {0} ` +
+        `characters. Proceed with caution.`,
+
+        menuNaming: 'Save System',
+        labelName: 'Title: ',
+        defaultSystemName: 'Untitled L-system',
+        labelDesc: 'Description: ',
+        noDescription: 'No description.',
+        duplicateSuffix: ' (copy)',
+
+        menuTheory: 'Theory Settings',
+        labelOfflineReset: 'Reset graph on tabbing in: ',
+        labelResetLvl: 'Reset to stage 0 on construction: ',
+        labelTerEq: 'Tertiary equation: {0}',
+        terEqModes: ['Coordinates', 'Orientation'],
+        labelMeasure: 'Measure performance: ',
+        debugCamPath: 'Debug camera path: ',
+        labelMaxCharsPerTick: 'Maximum loaded chars/tick: ',
+        labelInternalState: 'Internal state: ',
+
+        menuManual: 'User Guide ({0}/{1})',
+        menuTOC: 'Table of Contents',
+        labelSource: 'Source: ',
+        manualSystemDesc: 'User guide, page {0}.',
+        manual:
+        [
+            {
+                title: 'Introduction',
+                contents:
+`Welcome to the Parametric L-systems Renderer! This guide aims to help you ` +
+`understand parametric L-systems in detail, as well as instructions on how ` +
+`to effectively use this theory to construct and render them.
+
+Let's start discovering the wonders of L-systems (and the renderer).
+
+Notice: A gallery for regular L-systems has opened! Visit that theory instead.`
+            },
+        ]
+    }
+};
+
+/**
+ * Returns a localised string.
+ * @param {string} name the string's internal name.
+ * @returns {string}
+ */
+let getLoc = (name, lang = menuLang) =>
+{
+    if(lang in locStrings && name in locStrings[lang])
+        return locStrings[lang][name];
+
+    if(name in locStrings.en)
+        return locStrings.en[name];
+    
+    return `String missing: ${lang}.${name}`;
+}
+
+/**
+ * Returns a string of a fixed decimal number, with a fairly uniform width.
+ * @param {number} x the number.
+ * @returns {string}
+ */
+let getCoordString = (x) => x.toFixed(x >= -0.01 ?
+    (x <= 9.999 ? 3 : (x <= 99.99 ? 2 : 1)) :
+    (x < -9.99 ? (x < -99.9 ? 0 : 1) : 2)
+);
 
 /**
  * Represents an instance of the Xorshift RNG.
@@ -524,7 +692,7 @@ class LSystem
         {
             ruleMatches.push([...rules[i].replace(TRIM_SP, '').match(
             LS_RULE)]);
-            // Indices 1, 2, 3 are context, condition, and all derivations
+            // Indices 1, 3, 4 are context, condition, and all derivations
         }
         this.rules = new Map();
         this.models = new Map();
@@ -536,23 +704,24 @@ class LSystem
             // left, middle, and right respectively
             if(!contextMatch[6])
                 continue;
-            
+
             let tmpRule = {};
             let ruleParams = {};
+            if(contextMatch[8])
             {
                 let params = contextMatch[8].split(',');
                 for(let j = 0; j < params.length; ++j)
                     ruleParams[params[j]] = ['m', j];
             }
             tmpRule.left = contextMatch[2];
-            if(tmpRule.left)
+            if(tmpRule.left && contextMatch[4])
             {
                 let params = contextMatch[4].split(',');
                 for(let j = 0; j < params.length; ++j)
                     ruleParams[params[j]] = ['l', j];
             }
             tmpRule.right = contextMatch[10];
-            if(tmpRule.right)
+            if(tmpRule.right && contextMatch[12])
             {
                 let params = contextMatch[12].split(',');
                 for(let j = 0; j < params.length; ++j)
@@ -599,14 +768,14 @@ class LSystem
                 // MathExpression eval: (v) => rule.paramMap(v, params[l], ...)
             }
 
-            // [i][2]: condition
-            if(ruleMatches[i][2])
-                tmpRule.condition = MathExpression.parse(ruleMatches[i][2]);
+            // [i][3]: condition
+            if(ruleMatches[i][3])
+                tmpRule.condition = MathExpression.parse(ruleMatches[i][3]);
             else
-                tmpRule.condition = MathExpression.parse('true');
+                tmpRule.condition = MathExpression.parse('1');
 
-            // [i][3]: everything else
-            let tmpRuleMatches = ruleMatches[i][3].split(',');
+            // [i][4]: everything else
+            let tmpRuleMatches = ruleMatches[i][4].split(',');
             for(let j = 0; j < tmpRuleMatches.length; ++j)
             {
                 if(typeof tmpRuleMatches[j] === 'undefined')
@@ -892,16 +1061,19 @@ class LSystem
                             ++k)
                             {
                                 let derivPi = null;
-                                for(let l = 0; l < tmpRules[j].parameters[k].
-                                length; ++l)
+                                if(tmpRules[j].parameters[k])
                                 {
-                                    if(tmpRules[j].parameters[k][l])
+                                    for(let l = 0; l < tmpRules[j].parameters[
+                                    k].length; ++l)
                                     {
-                                        if(!derivPi)
-                                            derivPi = [];
-                                        derivPi.push(
-                                        tmpRules[j].parameters[k][l].evaluate(
-                                        tmpParamMap));
+                                        if(tmpRules[j].parameters[k][l])
+                                        {
+                                            if(!derivPi)
+                                                derivPi = [];
+                                            derivPi.push(tmpRules[j].
+                                            parameters[k][l].evaluate(
+                                            tmpParamMap));
+                                        }
                                     }
                                 }
                                 derivParams.push(derivPi);
@@ -2723,7 +2895,9 @@ let camMeasurer = new Measurer('renderer.camera', 30);
 
 let testSuite = () =>
 {
-    let a = new LSystem('[+(30)G]F/(180)A(2)',['A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.5,:0.5,C:0.5'], 30, 1);
+    let a = new LSystem('[+(30)G]F/(180)A(2)', [
+        'A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.4,:0,C:0'
+    ], 30, 1);
     // A(0)
     let a0 = 'A';
     let a0p = [[BigNumber.ZERO]];
@@ -2738,4 +2912,20 @@ let testSuite = () =>
     let a2 = tmpDeriv.result;
     let a2p = tmpDeriv.params;
     log(a.reconstruct(a2, a2p));
+
+    let b0 = 'X';
+    let b0p = [null];
+    let bt0 = arrow.getAncestree(b0);
+    tmpDeriv = arrow.derive(b0, b0p, bt0.ancestors, bt0.children, 0);
+    let b1 = tmpDeriv.result;
+    let b1p = tmpDeriv.params;
+    log(arrow.reconstruct(b1, b1p));
+
+    let bt1 = arrow.getAncestree(b1);
+    tmpDeriv = arrow.derive(b1, b1p, bt1.ancestors, bt1.children, 0);
+    let b2 = tmpDeriv.result;
+    let b2p = tmpDeriv.params;
+    log(arrow.reconstruct(b2, b2p));
 }
+
+testSuite();

From 65b8e7323665d583b41c1f2a260aa8cf6023afa1 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 18:37:27 +0700
Subject: [PATCH 63/94] Fixed Renderer.update() writing wrong param lvl

---
 parametric.js | 2837 ++++++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 2831 insertions(+), 6 deletions(-)

diff --git a/parametric.js b/parametric.js
index 73f33d0..a4c5843 100644
--- a/parametric.js
+++ b/parametric.js
@@ -132,7 +132,7 @@ const locStrings =
 {
     en:
     {
-        versionName: 'v1.0, Work in Progress',
+        versionName: 'v1.0, Mistletoe ed. (WIP)',
         welcomeSystemName: 'Arrow',
         welcomeSystemDesc: 'Welcome to L-systems Renderer!',
         equationOverlayLong: '{0} – {1}\n\n{2}\n\n{3}',
@@ -1572,12 +1572,12 @@ class Renderer
                 if(this.nextDeriveIdx == 0)
                 {
                     this.levels[i] = ret.result;
-                    this.levelParams[i - 1] = ret.params;
+                    this.levelParams[i] = ret.params;
                 }
                 else
                 {
                     this.levels[i] += ret.result;
-                    this.levelParams[i - 1].push(...ret.params);
+                    this.levelParams[i].push(...ret.params);
                 }
 
                 this.nextDeriveIdx = ret.next;
@@ -2232,8 +2232,10 @@ class Renderer
                         {
                             if(this.levels[this.lv][this.i] == 'F' &&
                             this.levelParams[this.lv][this.i])
+                            {
                                 this.forward(this.levelParams[this.lv][this.i][
                                 0].toNumber());
+                            }
                             else
                                 this.forward();
                         }
@@ -2891,7 +2893,2832 @@ let lvlControls, tsControls;
 let drawMeasurer = new Measurer('renderer.draw()', 30);
 let camMeasurer = new Measurer('renderer.camera', 30);
 
-// Start from init
+var init = () =>
+{
+    min = theory.createCurrency(getLoc('currencyTime'));
+    progress = theory.createCurrency('%');
+
+    // l (STAGE)
+    {
+        let getDesc = (level) => Localization.format(getLoc('varLvDesc'),
+        level.toString(), renderer.loopMode == 2 ? '+' : '');
+        let getInfo = (level) => `\\text{Stg. }${level.toString()}`;
+        l = theory.createUpgrade(0, progress, new FreeCost);
+        l.getDescription = (_) => Utils.getMath(getDesc(l.level));
+        l.getInfo = (amount) => Utils.getMathTo(getInfo(l.level),
+        getInfo(l.level + amount));
+        l.canBeRefunded = (_) => true;
+        l.boughtOrRefunded = (_) =>
+        {
+            lvlControls.updateAllButtons();
+            renderer.update(l.level);
+        };
+        lvlControls = new VariableControls(l);
+    }
+    // ts (Tickspeed)
+    {
+        let getDesc = (level) =>
+        {
+            if(tickDelayMode)
+            {
+                if(level == 0)
+                    return getLoc('varTdDescInf');
+                return Localization.format(getLoc('varTdDesc'),
+                (level / 10).toString());
+            }
+            return Localization.format(getLoc('varTsDesc'), level.toString());
+        };
+        let getInfo = (level) => `\\text{Ts=}${level.toString()}/s`;
+        ts = theory.createUpgrade(1, progress, new FreeCost);
+        ts.getDescription = (_) => Utils.getMath(getDesc(ts.level));
+        ts.getInfo = (amount) => Utils.getMathTo(getInfo(ts.level),
+        getInfo(ts.level + amount));
+        ts.maxLevel = 10;
+        ts.canBeRefunded = (_) => true;
+        ts.boughtOrRefunded = (_) =>
+        {
+            tsControls.updateAllButtons();
+            time = 0;
+        };
+        tsControls = new VariableControls(ts, true);
+    }
+
+    theory.createSecretAchievement(0, null,
+        getLoc('saPatienceTitle'),
+        getLoc('saPatienceDesc'),
+        getLoc('saPatienceHint'),
+        () => min.value > 9.6
+    );
+}
+
+var alwaysShowRefundButtons = () => true;
+
+let timeCheck = (elapsedTime) =>
+{
+    let timeLimit;
+    if(tickDelayMode)
+    {
+        time += 1;
+        timeLimit = ts.level;
+    }
+    else
+    {
+        time += elapsedTime;
+        timeLimit = 1 / ts.level;
+    }
+    if(time >= timeLimit - 1e-8)
+    {
+        time -= timeLimit;
+        return true;
+    }
+    return false;
+}
+
+var tick = (elapsedTime, multiplier) =>
+{
+    if(game.isCalculatingOfflineProgress)
+    {
+        gameIsOffline = true;
+        return;
+    }
+    else if(gameIsOffline)
+    {
+        // Triggers only once when reloading
+        if(offlineReset)
+            renderer.reset();
+        gameIsOffline = false;
+    }
+
+    if(measurePerformance)
+        drawMeasurer.stamp();
+
+    if(ts.level == 0)
+    {
+        // Keep updating even when paused
+        renderer.draw(l.level, true);
+    }
+    else
+    {
+        renderer.tick(elapsedTime);
+        renderer.draw(l.level, !timeCheck(elapsedTime));
+    }
+
+    if(measurePerformance)
+        drawMeasurer.stamp();
+
+    let msTime = renderer.elapsedTime;
+    min.value = 1e-8 + msTime[0] + msTime[1] / 100;
+    progress.value = renderer.progressPercent;
+    theory.invalidateTertiaryEquation();
+}
+
+var getEquationOverlay = () =>
+{
+    let overlayText = () => Localization.format(getLoc('equationOverlayLong'),
+    getLoc('versionName'), tmpSystemName, drawMeasurer.windowAvgString,
+    camMeasurer.windowAvgString);
+
+    let result = ui.createLatexLabel
+    ({
+        text: overlayText,
+        margin: new Thickness(5, 4),
+        fontSize: 9,
+        textColor: Color.TEXT_MEDIUM
+    });
+    return result;
+}
+
+let createButton = (label, callback, height = BUTTON_HEIGHT) =>
+{
+    let frame = ui.createFrame
+    ({
+        heightRequest: height,
+        cornerRadius: 1,
+        padding: new Thickness(10, 2),
+        verticalOptions: LayoutOptions.CENTER,
+        content: ui.createLatexLabel
+        ({
+            text: label,
+            verticalTextAlignment: TextAlignment.CENTER,
+            textColor: Color.TEXT
+        }),
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.PRESSED)
+            {
+                frame.borderColor = Color.TRANSPARENT;
+                frame.content.textColor = Color.TEXT_MEDIUM;
+            }
+            else if(e.type == TouchType.SHORTPRESS_RELEASED ||
+            e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                frame.borderColor = Color.BORDER;
+                frame.content.textColor = Color.TEXT;
+                callback();
+            }
+            else if(e.type == TouchType.CANCELLED)
+            {
+                frame.borderColor = Color.BORDER;
+                frame.content.textColor = Color.TEXT;
+            }
+        },
+        borderColor: Color.BORDER
+    });
+    return frame;
+}
+
+var getUpgradeListDelegate = () =>
+{
+    let openSeqMenu = () =>
+    {
+        let menu = createSequenceMenu();
+        menu.show();
+    };
+    let lvlButton = lvlControls.createVariableButton(openSeqMenu);
+    lvlButton.row = 0;
+    lvlButton.column = 0;
+    let lvlRefund = lvlControls.createRefundButton('–');
+    lvlRefund.column = 0;
+    let lvlBuy = lvlControls.createBuyButton();
+    lvlBuy.column = 1;
+
+    let toggleTDM = () =>
+    {
+        tickDelayMode = !tickDelayMode;
+        tsControls.updateDescription();
+        time = 0;
+    };
+    let tsButton = tsControls.createVariableButton(toggleTDM);
+    tsButton.row = 1;
+    tsButton.column = 0;
+    let tsRefund = tsControls.createRefundButton('–');
+    tsRefund.column = 0;
+    let tsBuy = tsControls.createBuyButton();
+    tsBuy.column = 1;
+
+    let sysButton = createButton(getLoc('btnMenuLSystem'), () =>
+    createSystemMenu().show());
+    sysButton.row = 0;
+    sysButton.column = 0;
+    let cfgButton = createButton(getLoc('btnMenuRenderer'), () =>
+    createConfigMenu().show());
+    cfgButton.row = 0;
+    cfgButton.column = 1;
+    let slButton = createButton(getLoc('btnMenuSave'), () =>
+    createSaveMenu().show());
+    slButton.row = 1;
+    slButton.column = 0;
+    let manualButton = createButton(getLoc('btnMenuManual'), () =>
+    createManualMenu().show());
+    manualButton.row = 1;
+    manualButton.column = 1;
+    let theoryButton = createButton(getLoc('btnMenuTheory'), () =>
+    createWorldMenu().show());
+    theoryButton.row = 2;
+    theoryButton.column = 0;
+    let resumeButton = createButton(Localization.format(getLoc('btnResume'),
+    tmpSystemName), () =>
+    {
+        if(tmpSystem)
+        {
+            renderer.constructSystem = tmpSystem;
+            tmpSystem = null;
+        }
+    }, getMediumBtnSize(ui.screenWidth));
+    resumeButton.content.horizontalOptions = LayoutOptions.CENTER;
+    resumeButton.isVisible = () => tmpSystem ? true : false;
+    resumeButton.margin = new Thickness(0, 0, 0, 2);
+
+    let stack = ui.createScrollView
+    ({
+        padding: new Thickness(6, 8),
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                resumeButton,
+                ui.createGrid
+                ({
+                    columnSpacing: 8,
+                    rowSpacing: 6,
+                    rowDefinitions:
+                    [
+                        BUTTON_HEIGHT,
+                        BUTTON_HEIGHT
+                    ],
+                    columnDefinitions: ['50*', '50*'],
+                    children:
+                    [
+                        lvlButton,
+                        ui.createGrid
+                        ({
+                            row: 0,
+                            column: 1,
+                            columnSpacing: 7,
+                            columnDefinitions: ['50*', '50*'],
+                            children:
+                            [
+                                lvlRefund,
+                                lvlBuy
+                            ]
+                        }),
+                        tsButton,
+                        ui.createGrid
+                        ({
+                            row: 1,
+                            column: 1,
+                            columnSpacing: 7,
+                            columnDefinitions: ['50*', '50*'],
+                            children:
+                            [
+                                tsRefund,
+                                tsBuy
+                            ]
+                        })
+                    ]
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 0,
+                    // margin: new Thickness(0, 6)
+                }),
+                ui.createGrid
+                ({
+                    columnSpacing: 8,
+                    rowSpacing: 6,
+                    rowDefinitions:
+                    [
+                        BUTTON_HEIGHT,
+                        BUTTON_HEIGHT,
+                        BUTTON_HEIGHT
+                    ],
+                    columnDefinitions: ['50*', '50*'],
+                    children:
+                    [
+                        sysButton,
+                        cfgButton,
+                        slButton,
+                        manualButton,
+                        theoryButton
+                    ]
+                })
+            ]
+        })
+    });
+    return stack;
+}
+
+let createConfigMenu = () =>
+{
+    let tmpZE = renderer.figScaleStr;
+    let zoomEntry = ui.createEntry
+    ({
+        text: tmpZE,
+        row: 0,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpZE = nt;
+        }
+    });
+    let tmpCM = renderer.cameraMode;
+    let CMLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelCamMode'),
+        getLoc('camModes')[tmpCM]),
+        row: 1,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let CMSlider = ui.createSlider
+    ({
+        row: 1,
+        column: 1,
+        minimum: 0,
+        maximum: 2,
+        value: tmpCM,
+        onValueChanged: () =>
+        {
+            tmpCM = Math.round(CMSlider.value);
+            CMSlider.isToggled = tmpCM > 0;
+            camLabel.isVisible = tmpCM == 0;
+            camGrid.isVisible = tmpCM == 0;
+            camOffLabel.isVisible = tmpCM == 0;
+            camOffGrid.isVisible = tmpCM == 0;
+            FFLabel.isVisible = tmpCM > 0;
+            FFEntry.isVisible = tmpCM > 0;
+            CMLabel.text = Localization.format(getLoc('labelCamMode'),
+            getLoc('camModes')[tmpCM]);
+                
+        },
+        onDragCompleted: () =>
+        {
+            Sound.playClick();
+            CMSlider.value = tmpCM;
+        }
+    });
+    let tmpCX = renderer.camXStr;
+    let tmpCY = renderer.camYStr;
+    let tmpCZ = renderer.camZStr;
+    let camLabel = ui.createLatexLabel
+    ({
+        text: getLoc('labelCamCentre'),
+        isVisible: tmpCM == 0,
+        row: 2,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let camGrid = ui.createEntry
+    ({
+        text: tmpCX,
+        isVisible: tmpCM == 0,
+        row: 2,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpCX = nt;
+        }
+    });
+    let CYEntry = ui.createEntry
+    ({
+        text: tmpCY,
+        row: 0,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpCY = nt;
+        }
+    });
+    let camOffLabel = ui.createGrid
+    ({
+        row: 3,
+        column: 0,
+        columnDefinitions: ['40*', '30*'],
+        isVisible: tmpCM == 0,
+        children:
+        [
+            ui.createLatexLabel
+            ({
+                text: getLoc('labelCamOffset'),
+                row: 0,
+                column: 0,
+                // horizontalTextAlignment: TextAlignment.END,
+                verticalTextAlignment: TextAlignment.CENTER
+            }),
+            CYEntry
+        ]
+    });
+    let camOffGrid = ui.createEntry
+    ({
+        text: tmpCZ,
+        isVisible: tmpCM == 0,
+        row: 3,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpCZ = nt;
+        }
+    });
+    let tmpFF = renderer.followFactor;
+    let FFLabel = ui.createLatexLabel
+    ({
+        text: getLoc('labelFollowFactor'),
+        row: 2,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER,
+        isVisible: tmpCM > 0
+    });
+    let FFEntry = ui.createEntry
+    ({
+        text: tmpFF.toString(),
+        keyboard: Keyboard.NUMERIC,
+        row: 2,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        isVisible: tmpCM > 0,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpFF = Number(nt);
+        }
+    });
+    let tmpUpright = renderer.upright;
+    let uprightSwitch = ui.createSwitch
+    ({
+        isToggled: tmpUpright,
+        row: 4,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+            e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpUpright = !tmpUpright;
+                uprightSwitch.isToggled = tmpUpright;
+            }
+        }
+    });
+    let tmpLM = renderer.loopMode;
+    let LMLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelLoopMode'),
+        getLoc('loopModes')[tmpLM]),
+        row: 0,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let LMSlider = ui.createSlider
+    ({
+        row: 0,
+        column: 1,
+        minimum: 0,
+        maximum: 2,
+        value: tmpLM,
+        // minimumTrackColor: Color.BORDER,
+        // maximumTrackColor: Color.TRANSPARENT,
+        // thumbImageSource: ImageSource.UPGRADES,
+        onValueChanged: () =>
+        {
+            tmpLM = Math.round(LMSlider.value);
+            LMLabel.text = Localization.format(getLoc('labelLoopMode'),
+            getLoc('loopModes')[tmpLM]);
+        },
+        onDragCompleted: () =>
+        {
+            Sound.playClick();
+            LMSlider.value = tmpLM;
+        }
+    });
+    let tmpTail = renderer.backtrackTail;
+    let tailSwitch = ui.createSwitch
+    ({
+        isToggled: tmpTail,
+        row: 1,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpTail = !tmpTail;
+                tailSwitch.isToggled = tmpTail;
+            }
+        }
+    });
+    let tmpModel = renderer.loadModels;
+    let modelLabel = ui.createLatexLabel
+    ({
+        text: getLoc('labelLoadModels'),
+        row: 2,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let modelSwitch = ui.createSwitch
+    ({
+        isToggled: tmpModel,
+        row: 2,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpModel = !tmpModel;
+                modelSwitch.isToggled = tmpModel;
+            }
+        }
+    });
+    let tmpQD = renderer.quickDraw;
+    let QDSwitch = ui.createSwitch
+    ({
+        isToggled: tmpQD,
+        row: 0,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpQD = !tmpQD;
+                QDSwitch.isToggled = tmpQD;
+            }
+        }
+    });
+    let tmpQB = renderer.quickBacktrack;
+    let QBSwitch = ui.createSwitch
+    ({
+        isToggled: tmpQB,
+        row: 1,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpQB = !tmpQB;
+                QBSwitch.isToggled = tmpQB;
+            }
+        }
+    });
+    let tmpHesA = renderer.hesitateApex;
+    let hesALabel = ui.createLatexLabel
+    ({
+        text: getLoc('labelHesitateApex'),
+        row: 2,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let hesASwitch = ui.createSwitch
+    ({
+        isToggled: tmpHesA,
+        row: 2,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpHesA = !tmpHesA;
+                hesASwitch.isToggled = tmpHesA;
+            }
+        }
+    });
+    let tmpHesN = renderer.hesitateFork;
+    let hesNLabel = ui.createLatexLabel
+    ({
+        text: getLoc('labelHesitateFork'),
+        row: 3,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let hesNSwitch = ui.createSwitch
+    ({
+        isToggled: tmpHesN,
+        row: 3,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpHesN = !tmpHesN;
+                hesNSwitch.isToggled = tmpHesN;
+            }
+        }
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuRenderer'),
+        isPeekable: true,
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createScrollView
+                ({
+                    heightRequest: ui.screenHeight * 0.36,
+                    content: ui.createStackLayout
+                    ({
+                        children:
+                        [
+                            ui.createGrid
+                            ({
+                                columnDefinitions: ['70*', '30*'],
+                                children:
+                                [
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelFigScale'),
+                                        row: 0,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    zoomEntry,
+                                    CMLabel,
+                                    CMSlider,
+                                    camLabel,
+                                    camGrid,
+                                    camOffLabel,
+                                    camOffGrid,
+                                    FFLabel,
+                                    FFEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelUpright'),
+                                        row: 4,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    uprightSwitch,
+                                ]
+                            }),
+                            ui.createBox
+                            ({
+                                heightRequest: 1,
+                                margin: new Thickness(0, 6)
+                            }),
+                            ui.createGrid
+                            ({
+                                rowDefinitions:
+                                [
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT
+                                ],
+                                columnDefinitions: ['70*', '30*'],
+                                children:
+                                [
+                                    LMLabel,
+                                    LMSlider,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelBTTail'),
+                                        row: 1,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    tailSwitch,
+                                    modelLabel,
+                                    modelSwitch
+                                ]
+                            }),
+                            ui.createBox
+                            ({
+                                heightRequest: 1,
+                                margin: new Thickness(0, 6)
+                            }),
+                            ui.createGrid
+                            ({
+                                rowDefinitions:
+                                [
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT,
+                                    SMALL_BUTTON_HEIGHT
+                                ],
+                                columnDefinitions: ['70*', '30*'],
+                                children:
+                                [
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelQuickdraw'),
+                                        row: 0,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    QDSwitch,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelQuickBT'),
+                                        row: 1,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    QBSwitch,
+                                    hesALabel,
+                                    hesASwitch,
+                                    hesNLabel,
+                                    hesNSwitch
+                                ]
+                            })
+                        ]
+                    })
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createLatexLabel
+                ({
+                    text: getLoc('labelRequireReset'),
+                    margin: new Thickness(0, 0, 0, 4),
+                    verticalTextAlignment: TextAlignment.CENTER
+                }),
+                ui.createGrid
+                ({
+                    minimumHeightRequest: BUTTON_HEIGHT,
+                    columnDefinitions: ['50*', '50*'],
+                    children:
+                    [
+                        ui.createButton
+                        ({
+                            text: getLoc('btnSave'),
+                            row: 0,
+                            column: 0,
+                            onClicked: () =>
+                            {
+                                Sound.playClick();
+                                renderer.configure(tmpZE, tmpCM, tmpCX, tmpCY,
+                                tmpCZ, tmpFF, tmpLM, tmpUpright, tmpQD, tmpQB,
+                                tmpModel, tmpTail, tmpHesA, tmpHesN);
+                                lvlControls.updateDescription();
+                                menu.hide();
+                            }
+                        }),
+                        ui.createButton
+                        ({
+                            text: getLoc('btnDefault'),
+                            row: 0,
+                            column: 1,
+                            onClicked: () =>
+                            {
+                                Sound.playClick();
+                                let rx = new Renderer();
+                                zoomEntry.text = rx.figScaleStr;
+                                CMSlider.value = rx.cameraMode;
+                                camGrid.text = rx.camXStr;
+                                CYEntry.text = rx.camYStr;
+                                camOffGrid.text = rx.camZStr;
+                                FFEntry.text = rx.followFactor.toString();
+                                LMSlider.value = rx.loopMode;
+                                tmpUpright = rx.upright;
+                                uprightSwitch.isToggled = rx.upright;
+                                tmpQD = rx.quickDraw;
+                                QDSwitch.isToggled = rx.quickDraw;
+                                tmpQB = rx.quickBacktrack;
+                                QBSwitch.isToggled = rx.quickBacktrack;
+                                tmpModel = rx.loadModels;
+                                modelSwitch.isToggled = rx.loadModels;
+                                tmpTail = rx.backtrackTail;
+                                tailSwitch.isToggled = rx.backtrackTail;
+                                tmpHesA = rx.hesitateApex;
+                                hesASwitch.isToggled = rx.hesitateApex;
+                                tmpHesN = rx.hesitateFork;
+                                hesNSwitch.isToggled = rx.hesitateFork;
+                                lvlControls.updateDescription();
+                                // menu.hide();
+                            }
+                        })
+                    ]
+                })
+            ]
+        })
+    })
+    return menu;
+}
+
+let createSystemMenu = () =>
+{
+    let values = renderer.system.object;
+    let tmpAxiom = values.axiom;
+    let axiomEntry = ui.createEntry
+    ({
+        text: tmpAxiom,
+        row: 0,
+        column: 1,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpAxiom = nt;
+        }
+    });
+    let tmpAngle = values.turnAngle || '0';
+    let angleEntry = ui.createEntry
+    ({
+        text: tmpAngle.toString(),
+        row: 1,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpAngle = nt;
+        }
+    });
+    let tmpRules = values.rules;
+    let ruleEntries = [];
+    let ruleMoveBtns = [];
+    for(let i = 0; i < tmpRules.length; ++i)
+    {
+        ruleEntries.push(ui.createEntry
+        ({
+            row: i,
+            column: 0,
+            text: tmpRules[i],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+            onTextChanged: (ot, nt) =>
+            {
+                tmpRules[i] = nt;
+            }
+        }));
+        if(i)
+        {
+            ruleMoveBtns.push(ui.createButton
+            ({
+                row: i,
+                column: 1,
+                text: getLoc('btnUp'),
+                heightRequest: SMALL_BUTTON_HEIGHT,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    let tmpRule = ruleEntries[i].text;
+                    ruleEntries[i].text = ruleEntries[i - 1].text;
+                    ruleEntries[i - 1].text = tmpRule;
+                }
+            }));
+        }
+    }
+    let rulesLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelRules'), ruleEntries.length),
+        verticalTextAlignment: TextAlignment.CENTER,
+        margin: new Thickness(0, 12)
+    });
+    let ruleStack = ui.createGrid
+    ({
+        columnDefinitions: ['7*', '1*'],
+        children: [...ruleEntries, ...ruleMoveBtns]
+    });
+    let addRuleButton = ui.createButton
+    ({
+        text: getLoc('btnAdd'),
+        row: 0,
+        column: 1,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let i = ruleEntries.length;
+            ruleEntries.push(ui.createEntry
+            ({
+                row: i,
+                column: 0,
+                text: '',
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpRules[i] = nt;
+                }
+            }));
+            if(i)
+            {
+                ruleMoveBtns.push(ui.createButton
+                ({
+                    row: i,
+                    column: 1,
+                    text: getLoc('btnUp'),
+                    heightRequest: SMALL_BUTTON_HEIGHT,
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        let tmpRule = ruleEntries[i].text;
+                        ruleEntries[i].text = ruleEntries[i - 1].text;
+                        ruleEntries[i - 1].text = tmpRule;
+                    }
+                }));
+            }
+            rulesLabel.text = Localization.format(getLoc('labelRules'),
+            ruleEntries.length);
+            ruleStack.children = [...ruleEntries, ...ruleMoveBtns];
+        }
+    });
+    let tmpIgnore = values.ignoreList;
+    let ignoreEntry = ui.createEntry
+    ({
+        text: tmpIgnore,
+        row: 0,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpIgnore = nt;
+        }
+    });
+    let tmpTropism = values.tropism || '0';
+    let tropismEntry = ui.createEntry
+    ({
+        text: tmpTropism.toString(),
+        row: 2,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpTropism = nt;
+        }
+    });
+    let tmpSeed = values.seed || '0';
+    let seedLabel = ui.createGrid
+    ({
+        row: 3,
+        column: 0,
+        columnDefinitions: ['40*', '30*'],
+        children:
+        [
+            ui.createLatexLabel
+            ({
+                text: getLoc('labelSeed'),
+                column: 0,
+                verticalTextAlignment: TextAlignment.CENTER
+            }),
+            ui.createButton
+            ({
+                text: getLoc('btnReroll'),
+                column: 1,
+                heightRequest: SMALL_BUTTON_HEIGHT,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    seedEntry.text = globalRNG.nextInt.toString();
+                }
+            })
+        ]
+    });
+    let seedEntry = ui.createEntry
+    ({
+        text: tmpSeed.toString(),
+        keyboard: Keyboard.NUMERIC,
+        row: 3,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpSeed = Number(nt);
+        }
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuLSystem'),
+        isPeekable: true,
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createScrollView
+                ({
+                    content: ui.createStackLayout
+                    ({
+                        children:
+                        [
+                            ui.createGrid
+                            ({
+                                columnDefinitions: ['20*', '80*'],
+                                children:
+                                [
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelAxiom'),
+                                        row: 0,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    axiomEntry,
+                                ]
+                            }),
+                            ui.createGrid
+                            ({
+                                columnDefinitions: ['70*', '30*'],
+                                children:
+                                [
+                                    rulesLabel,
+                                    addRuleButton
+                                ]
+                            }),
+                            ruleStack,
+                            ui.createGrid
+                            ({
+                                columnDefinitions: ['70*', '30*'],
+                                children:
+                                [
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelIgnored'),
+                                        row: 0,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    ignoreEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelAngle'),
+                                        row: 1,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    angleEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelTropism'),
+                                        row: 2,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    tropismEntry,
+                                    seedLabel,
+                                    seedEntry
+                                ]
+                            })
+                        ]
+                    })
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createGrid
+                ({
+                    minimumHeightRequest: BUTTON_HEIGHT,
+                    columnDefinitions: ['50*', '50*'],
+                    children:
+                    [
+                        ui.createButton
+                        ({
+                            text: getLoc('btnConstruct'),
+                            row: 0,
+                            column: 0,
+                            onClicked: () =>
+                            {
+                                Sound.playClick();
+                                renderer.constructSystem = new LSystem(tmpAxiom,
+                                tmpRules, tmpAngle, tmpSeed, tmpIgnore,
+                                tmpTropism);
+                                if(tmpSystem)
+                                {
+                                    tmpSystem = null;
+                                    tmpSystemName = getLoc('defaultSystemName');
+                                    tmpSystemDesc = getLoc('noDescription');
+                                }
+                                menu.hide();
+                            }
+                        }),
+                        ui.createButton
+                        ({
+                            text: getLoc('btnClear'),
+                            row: 0,
+                            column: 1,
+                            onClicked: () =>
+                            {
+                                Sound.playClick();
+                                let values = new LSystem().object;
+                                axiomEntry.text = values.axiom;
+                                angleEntry.text = values.turnAngle;
+                                tmpRules = values.rules;
+                                ruleEntries = [];
+                                rulesLabel.text = Localization.format(
+                                getLoc('labelRules'), ruleEntries.length);
+                                ruleStack.children = ruleEntries;
+                                ignoreEntry.text = values.ignoreList;
+                                tropismEntry.text = values.tropism;
+                                seedEntry.text = values.seed.toString();
+                            }
+                        })
+                    ]
+                })
+            ]
+        })
+    })
+    return menu;
+}
+
+let createNamingMenu = () =>
+{
+    let tmpName = tmpSystemName;
+    let nameEntry = ui.createEntry
+    ({
+        text: tmpName,
+        row: 0,
+        column: 1,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpName = nt;
+        }
+    });
+    let tmpDesc = tmpSystemDesc;
+    let descEntry = ui.createEntry
+    ({
+        text: tmpDesc,
+        row: 0,
+        column: 1,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpDesc = nt;
+        }
+    });
+
+    let getSystemGrid = () =>
+    {
+        let children = [];
+        let i = 0;
+        for(let [key, value] of savedSystems)
+        {
+            children.push(ui.createLatexLabel
+            ({
+                text: key,
+                row: i,
+                column: 0,
+                verticalTextAlignment: TextAlignment.CENTER
+            }));
+            let btnO = createOverwriteButton(key);
+            btnO.row = i;
+            children.push(btnO);
+            ++i;
+        }
+        return children;
+    };
+    let createOverwriteButton = (title) =>
+    {
+        let btn = ui.createButton
+        ({
+            text: getLoc('btnOverwrite'),
+            row: 0,
+            column: 1,
+            heightRequest: SMALL_BUTTON_HEIGHT,
+            onClicked: () =>
+            {
+                Sound.playClick();
+                savedSystems.set(title, {
+                    desc: savedSystems.get(title).desc,
+                    system: renderer.system.object,
+                    config: renderer.staticCamera
+                });
+                tmpSystemName = title;
+                tmpSystemDesc = savedSystems.get(title).desc;
+                menu.hide();
+            }
+        });
+        return btn;
+    };
+    let systemGrid = ui.createGrid
+    ({
+        columnDefinitions: ['70*', '30*'],
+        verticalOptions: LayoutOptions.START,
+        children: getSystemGrid() 
+    });
+    let systemGridScroll = ui.createScrollView
+    ({
+        heightRequest: () => Math.max(SMALL_BUTTON_HEIGHT,
+        Math.min(ui.screenHeight * 0.2, systemGrid.height)),
+        content: systemGrid
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuNaming'),
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createGrid
+                ({
+                    columnDefinitions: ['30*', '70*'],
+                    children:
+                    [
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelName'),
+                            row: 0,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        nameEntry
+                    ]
+                }),
+                ui.createGrid
+                ({
+                    columnDefinitions: ['30*', '70*'],
+                    children:
+                    [
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelDesc'),
+                            row: 0,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        descEntry
+                    ]
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createLatexLabel
+                ({
+                    text: Localization.format(getLoc('labelSavedSystems'),
+                    savedSystems.size),
+                    // horizontalTextAlignment: TextAlignment.CENTER,
+                    verticalTextAlignment: TextAlignment.CENTER,
+                    margin: new Thickness(0, 12)
+                }),
+                systemGridScroll,
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createButton
+                ({
+                    text: getLoc('btnSave'),
+                    row: 0,
+                    column: 1,
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        while(savedSystems.has(tmpName))
+                            tmpName += getLoc('duplicateSuffix');
+                        savedSystems.set(tmpName, {
+                            desc: tmpDesc,
+                            system: renderer.system.object,
+                            config: renderer.staticCamera
+                        });
+                        tmpSystemName = tmpName;
+                        tmpSystemDesc = tmpDesc;
+                        menu.hide();
+                    }
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
+let createSystemClipboardMenu = (values) =>
+{
+    let tmpSys = values;
+    let sysEntry = ui.createEntry
+    ({
+        text: tmpSys,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpSys = nt;
+            warningEntry.isVisible = sysEntry.text.length >= ENTRY_CHAR_LIMIT;
+        }
+    });
+    let warningEntry = ui.createLatexLabel
+    ({
+        isVisible: sysEntry.text.length >= ENTRY_CHAR_LIMIT,
+        text: Localization.format(getLoc('labelEntryCharLimit'),
+        ENTRY_CHAR_LIMIT),
+        margin: new Thickness(0, 0, 0, 4),
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuClipboard'),
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                sysEntry,
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                warningEntry,
+                ui.createButton
+                ({
+                    text: getLoc('btnConstruct'),
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        let sv = JSON.parse(tmpSys);
+                        tmpSystemName = sv.title;
+                        tmpSystemDesc = sv.desc;
+                        renderer.constructSystem = new LSystem(sv.system.axiom,
+                        sv.system.rules, sv.system.turnAngle,
+                        sv.system.seed, sv.system.ignoreList,
+                        sv.system.tropism);
+                        tmpSystem = null;
+                        if('config' in sv)
+                            renderer.configureStaticCamera(...sv.config);
+                        menu.hide();
+                    }
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
+let createStateClipboardMenu = (values) =>
+{
+    let tmpState = values;
+    let sysEntry = ui.createEntry
+    ({
+        text: tmpState,
+        // clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpState = nt;
+            warningEntry.isVisible = sysEntry.text.length >= ENTRY_CHAR_LIMIT;
+        }
+    });
+    let warningEntry = ui.createLatexLabel
+    ({
+        isVisible: sysEntry.text.length >= ENTRY_CHAR_LIMIT,
+        text: Localization.format(getLoc('labelEntryCharLimit'),
+        ENTRY_CHAR_LIMIT),
+        margin: new Thickness(0, 0, 0, 4),
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuClipboard'),
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                sysEntry,
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                warningEntry,
+                ui.createButton
+                ({
+                    text: getLoc('btnImport'),
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        setInternalState(tmpState);
+                        menu.hide();
+                    }
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
+let createViewMenu = (title, parentMenu) =>
+{
+    let systemObj = savedSystems.get(title);
+    let values = systemObj.system;
+    let tmpDesc = systemObj.desc;
+    if(!tmpDesc)
+        tmpDesc = getLoc('noDescription');
+    let rendererValues = systemObj.config;
+    let tmpZE = rendererValues[0];
+    let tmpCX = rendererValues[1];
+    let tmpCY = rendererValues[2];
+    let tmpCZ = rendererValues[3];
+    let tmpUpright = rendererValues[4];
+
+    let zoomEntry = ui.createEntry
+    ({
+        text: tmpZE,
+        row: 0,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpZE = nt;
+        }
+    });
+    let camLabel = ui.createLatexLabel
+    ({
+        text: getLoc('labelCamCentre'),
+        row: 1,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let camGrid = ui.createEntry
+    ({
+        text: tmpCX,
+        row: 1,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpCX = nt;
+        }
+    });
+    let camOffLabel = ui.createGrid
+    ({
+        row: 2,
+        column: 0,
+        columnDefinitions: ['40*', '30*'],
+        children:
+        [
+            ui.createLatexLabel
+            ({
+                text: getLoc('labelCamOffset'),
+                row: 0,
+                column: 0,
+                // horizontalTextAlignment: TextAlignment.END,
+                verticalTextAlignment: TextAlignment.CENTER
+            }),
+            ui.createEntry
+            ({
+                text: tmpCY,
+                row: 0,
+                column: 1,
+                horizontalTextAlignment: TextAlignment.END,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpCY = nt;
+                }
+            })
+        ]
+    });
+    let camOffGrid = ui.createEntry
+    ({
+        text: tmpCZ,
+        row: 2,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpCZ = nt;
+        }
+    });
+    let uprightSwitch = ui.createSwitch
+    ({
+        isToggled: tmpUpright,
+        row: 3,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+            e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpUpright = !tmpUpright;
+                uprightSwitch.isToggled = tmpUpright;
+            }
+        }
+    });
+
+    let tmpAxiom = values.axiom;
+    let axiomEntry = ui.createEntry
+    ({
+        text: tmpAxiom,
+        row: 0,
+        column: 1,
+        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpAxiom = nt;
+        }
+    });
+    let tmpAngle = values.turnAngle || '0';
+    let angleEntry = ui.createEntry
+    ({
+        text: tmpAngle.toString(),
+        row: 1,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpAngle = nt;
+        }
+    });
+    let tmpRules = [];
+    for(let i = 0; i < values.rules.length; ++i)
+        tmpRules[i] = values.rules[i];
+    let ruleEntries = [];
+    let ruleMoveBtns = [];
+    for(let i = 0; i < tmpRules.length; ++i)
+    {
+        ruleEntries.push(ui.createEntry
+        ({
+            row: i,
+            column: 0,
+            text: tmpRules[i],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+            onTextChanged: (ot, nt) =>
+            {
+                tmpRules[i] = nt;
+            }
+        }));
+        if(i)
+        {
+            ruleMoveBtns.push(ui.createButton
+            ({
+                row: i,
+                column: 1,
+                text: getLoc('btnUp'),
+                heightRequest: SMALL_BUTTON_HEIGHT,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    let tmpRule = ruleEntries[i].text;
+                    ruleEntries[i].text = ruleEntries[i - 1].text;
+                    ruleEntries[i - 1].text = tmpRule;
+                }
+            }));
+        }
+    }
+    let rulesLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelRules'), ruleEntries.length),
+        verticalTextAlignment: TextAlignment.CENTER,
+        margin: new Thickness(0, 12)
+    });
+    let ruleStack = ui.createGrid
+    ({
+        columnDefinitions: ['7*', '1*'],
+        children: [...ruleEntries, ...ruleMoveBtns]
+    });
+    let addRuleButton = ui.createButton
+    ({
+        text: getLoc('btnAdd'),
+        row: 0,
+        column: 1,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let i = ruleEntries.length;
+            ruleEntries.push(ui.createEntry
+            ({
+                row: i,
+                column: 0,
+                text: '',
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpRules[i] = nt;
+                }
+            }));
+            if(i)
+            {
+                ruleMoveBtns.push(ui.createButton
+                ({
+                    row: i,
+                    column: 1,
+                    text: getLoc('btnUp'),
+                    heightRequest: SMALL_BUTTON_HEIGHT,
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        let tmpRule = ruleEntries[i].text;
+                        ruleEntries[i].text = ruleEntries[i - 1].text;
+                        ruleEntries[i - 1].text = tmpRule;
+                    }
+                }));
+            }
+            rulesLabel.text = Localization.format(getLoc('labelRules'),
+            ruleEntries.length);
+            ruleStack.children = [...ruleEntries, ...ruleMoveBtns];
+        }
+    });
+    let tmpIgnore = values.ignoreList;
+    let ignoreEntry = ui.createEntry
+    ({
+        text: tmpIgnore,
+        row: 0,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpIgnore = nt;
+        }
+    });
+    let tmpTropism = values.tropism || '0';
+    let tropismEntry = ui.createEntry
+    ({
+        text: tmpTropism.toString(),
+        row: 2,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpTropism = nt;
+        }
+    });
+    let tmpSeed = values.seed || '0';
+    let seedLabel = ui.createGrid
+    ({
+        row: 3,
+        column: 0,
+        columnDefinitions: ['40*', '30*'],
+        children:
+        [
+            ui.createLatexLabel
+            ({
+                text: getLoc('labelSeed'),
+                column: 0,
+                verticalTextAlignment: TextAlignment.CENTER
+            }),
+            ui.createButton
+            ({
+                text: getLoc('btnReroll'),
+                column: 1,
+                heightRequest: SMALL_BUTTON_HEIGHT,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    seedEntry.text = globalRNG.nextInt.toString();
+                }
+            })
+        ]
+    });
+    let seedEntry = ui.createEntry
+    ({
+        text: tmpSeed.toString(),
+        keyboard: Keyboard.NUMERIC,
+        row: 3,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpSeed = Number(nt);
+        }
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: title,
+        isPeekable: true,
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createScrollView
+                ({
+                    // heightRequest: ui.screenHeight * 0.32,
+                    content: ui.createStackLayout
+                    ({
+                        children:
+                        [
+                            ui.createLatexLabel
+                            ({
+                                text: tmpDesc,
+                                margin: new Thickness(0, 6),
+                                horizontalTextAlignment: TextAlignment.CENTER,
+                                verticalTextAlignment: TextAlignment.CENTER
+                            }),
+                            ui.createGrid
+                            ({
+                                columnDefinitions: ['20*', '80*'],
+                                children:
+                                [
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelAxiom'),
+                                        row: 0,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    axiomEntry,
+                                ]
+                            }),
+                            ui.createGrid
+                            ({
+                                columnDefinitions: ['70*', '30*'],
+                                children:
+                                [
+                                    rulesLabel,
+                                    addRuleButton
+                                ]
+                            }),
+                            ruleStack,
+                            ui.createGrid
+                            ({
+                                columnDefinitions: ['70*', '30*'],
+                                children:
+                                [
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelIgnored'),
+                                        row: 0,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    ignoreEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelAngle'),
+                                        row: 1,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    angleEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelTropism'),
+                                        row: 2,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    tropismEntry,
+                                    seedLabel,
+                                    seedEntry
+                                ]
+                            }),
+                            ui.createBox
+                            ({
+                                heightRequest: 1,
+                                margin: new Thickness(0, 6)
+                            }),
+                            ui.createLatexLabel
+                            ({
+                                text: getLoc('labelApplyCamera'),
+                                // horizontalTextAlignment:
+                                // TextAlignment.CENTER,
+                                verticalTextAlignment: TextAlignment.CENTER,
+                                margin: new Thickness(0, 9)
+                            }),
+                            ui.createGrid
+                            ({
+                                columnDefinitions: ['70*', '30*'],
+                                children:
+                                [
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelFigScale'),
+                                        row: 0,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    zoomEntry,
+                                    camLabel,
+                                    camGrid,
+                                    camOffLabel,
+                                    camOffGrid,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelUpright'),
+                                        row: 3,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
+                                    uprightSwitch
+                                ]
+                            })
+                        ]
+                    })
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createGrid
+                ({
+                    minimumHeightRequest: BUTTON_HEIGHT,
+                    columnDefinitions: ['30*', '30*', '30*'],
+                    children:
+                    [
+                        ui.createButton
+                        ({
+                            text: getLoc('btnConstruct'),
+                            row: 0,
+                            column: 0,
+                            onClicked: () =>
+                            {
+                                Sound.playClick();
+                                renderer.constructSystem = new LSystem(tmpAxiom,
+                                tmpRules, tmpAngle, tmpSeed, tmpIgnore,
+                                tmpTropism);
+                                tmpSystem = null;
+                                renderer.configureStaticCamera(tmpZE, tmpCX,
+                                tmpCY, tmpCZ, tmpUpright);
+                                tmpSystemName = title;
+                                tmpSystemDesc = tmpDesc;
+                                parentMenu.hide();
+                                menu.hide();
+                            }
+                        }),
+                        ui.createButton
+                        ({
+                            text: getLoc('btnSave'),
+                            row: 0,
+                            column: 1,
+                            onClicked: () =>
+                            {
+                                Sound.playClick();
+                                savedSystems.set(title,
+                                {
+                                    desc: tmpDesc,
+                                    system: new LSystem(tmpAxiom, tmpRules,
+                                    tmpAngle, tmpSeed, tmpIgnore, tmpTropism).
+                                    object,
+                                    config: [tmpZE, tmpCX, tmpCY, tmpCZ,
+                                    tmpUpright]
+                                });
+                                // menu.hide();
+                            }
+                        }),
+                        ui.createButton
+                        ({
+                            text: getLoc('btnDelete'),
+                            row: 0,
+                            column: 2,
+                            onClicked: () =>
+                            {
+                                Sound.playClick();
+                                savedSystems.delete(title);
+                                menu.hide();
+                            }
+                        })
+                    ]
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
+let createSaveMenu = () =>
+{
+    let savedSystemsLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelSavedSystems'),
+        savedSystems.size),
+        // horizontalTextAlignment: TextAlignment.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER,
+        margin: new Thickness(0, 12)
+    });
+    let getSystemGrid = () =>
+    {
+        let children = [];
+        let i = 0;
+        for(let [key, value] of savedSystems)
+        {
+            children.push(ui.createLatexLabel
+            ({
+                text: key,
+                row: i,
+                column: 0,
+                verticalTextAlignment: TextAlignment.CENTER
+            }));
+            let btn = createViewButton(key);
+            btn.row = i;
+            btn.column = 1;
+            children.push(btn);
+            ++i;
+        }
+        savedSystemsLabel.text = Localization.format(
+        getLoc('labelSavedSystems'), savedSystems.size);
+        return children;
+    };
+    let createViewButton = (title) =>
+    {
+        let btn = ui.createButton
+        ({
+            text: getLoc('btnView'),
+            row: 0,
+            column: 1,
+            heightRequest: SMALL_BUTTON_HEIGHT,
+            onClicked: () =>
+            {
+                Sound.playClick();
+                let viewMenu = createViewMenu(title, menu);
+                viewMenu.onDisappearing = () =>
+                {
+                    systemGrid.children = getSystemGrid();
+                };
+                viewMenu.show();
+            }
+        });
+        return btn;
+    };
+    let systemGrid = ui.createGrid
+    ({
+        columnDefinitions: ['70*', '30*'],
+        verticalOptions: LayoutOptions.START,
+        children: getSystemGrid()
+    });
+    let systemGridScroll = ui.createScrollView
+    ({
+        heightRequest: () => Math.max(SMALL_BUTTON_HEIGHT,
+        Math.min(ui.screenHeight * 0.32, systemGrid.height)),
+        content: systemGrid
+    });
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuSave'),
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createGrid
+                ({
+                    columnDefinitions: ['40*', '30*', '30*'],
+                    children:
+                    [
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelCurrentSystem'),
+                            row: 0,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        ui.createButton
+                        ({
+                            text: getLoc('btnClipboard'),
+                            row: 0,
+                            column: 1,
+                            heightRequest: SMALL_BUTTON_HEIGHT,
+                            onClicked: () =>
+                            {
+                                let clipMenu = createSystemClipboardMenu(
+                                JSON.stringify(
+                                {
+                                    title: tmpSystemName,
+                                    desc: tmpSystemDesc,
+                                    system: renderer.system.object,
+                                    config: renderer.staticCamera
+                                }));
+                                clipMenu.show();
+                            }
+                        }),
+                        ui.createButton
+                        ({
+                            text: getLoc('btnSave'),
+                            row: 0,
+                            column: 2,
+                            heightRequest: SMALL_BUTTON_HEIGHT,
+                            onClicked: () =>
+                            {
+                                Sound.playClick();
+                                let namingMenu = createNamingMenu();
+                                namingMenu.onDisappearing = () =>
+                                {
+                                    systemGrid.children = getSystemGrid();
+                                };
+                                namingMenu.show();
+                            }
+                        })
+                    ]
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                savedSystemsLabel,
+                systemGridScroll
+            ]
+        })
+    });
+    return menu;
+}
+
+let createManualMenu = () =>
+{
+    let manualPages = getLoc('manual');
+
+    let pageTitle = ui.createLatexLabel
+    ({
+        text: manualPages[page].title,
+        margin: new Thickness(0, 4),
+        heightRequest: 20,
+        horizontalTextAlignment: TextAlignment.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let pageContents = ui.createLabel
+    ({
+        fontFamily: FontFamily.CMU_REGULAR,
+        fontSize: 16,
+        text: manualPages[page].contents
+    });
+    let sourceEntry = ui.createEntry
+    ({
+        row: 0,
+        column: 1,
+        text: 'source' in manualPages[page] ? manualPages[page].source : ''
+    });
+    let sourceGrid = ui.createGrid
+    ({
+        isVisible: 'source' in manualPages[page],
+        columnDefinitions: ['20*', '80*'],
+        children:
+        [
+            ui.createLatexLabel
+            ({
+                text: getLoc('labelSource'),
+                row: 0,
+                column: 0,
+                horizontalOptions: LayoutOptions.END,
+                verticalTextAlignment: TextAlignment.CENTER
+            }),
+            sourceEntry
+        ]
+    });
+    let prevButton = ui.createButton
+    ({
+        text: getLoc('btnPrev'),
+        row: 0,
+        column: 0,
+        isVisible: page > 0,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            if(page > 0)
+                setPage(page - 1);
+        }
+    });
+    let constructButton = ui.createButton
+    ({
+        text: getLoc('btnConstruct'),
+        row: 0,
+        column: 1,
+        isVisible: page in manualSystems,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let s = manualSystems[page];
+            renderer.constructSystem = s.system;
+            tmpSystem = null;
+            if('config' in s)
+                renderer.configureStaticCamera(...s.config);
+
+            tmpSystemName = manualPages[page].title;
+            tmpSystemDesc = Localization.format(
+            getLoc('manualSystemDesc'), page + 1);
+            menu.hide();
+        }
+    });
+    let tocButton = ui.createButton
+    ({
+        text: getLoc('btnContents'),
+        row: 0,
+        column: 1,
+        isVisible: !(page in manualSystems),
+        onClicked: () =>
+        {
+            Sound.playClick();
+            TOCMenu.show();
+        }
+    });
+    let nextButton = ui.createButton
+    ({
+        text: getLoc('btnNext'),
+        row: 0,
+        column: 2,
+        isVisible: page < manualPages.length - 1,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            if(page < manualPages.length - 1)
+                setPage(page + 1);
+        }
+    });
+    let setPage = (p) =>
+    {
+        page = p;
+        menu.title = Localization.format(
+            getLoc('menuManual'), page + 1,
+            getLoc('manual').length
+        );
+        pageTitle.text = manualPages[page].title;
+        pageContents.text =
+        manualPages[page].contents;
+        
+        sourceGrid.isVisible = 'source' in
+        manualPages[page];
+        sourceEntry.text = 'source' in
+        manualPages[page] ?
+        manualPages[page].source : '';
+
+        prevButton.isVisible = page > 0;
+        nextButton.isVisible = page < manualPages.length - 1;
+        constructButton.isVisible = page in manualSystems;
+        tocButton.isVisible = !(page in manualSystems);
+    };
+    let getContentsTable = () =>
+    {
+        let children = [];
+        for(let i = 0; i < contentsTable.length; ++i)
+        {
+            children.push(ui.createLatexLabel
+            ({
+                text: manualPages[contentsTable[i]].title,
+                row: i,
+                column: 0,
+                verticalTextAlignment: TextAlignment.CENTER
+            }));
+            children.push(ui.createButton
+            ({
+                text: Localization.format(getLoc('btnPage'),
+                contentsTable[i] + 1),
+                row: i,
+                column: 1,
+                heightRequest: SMALL_BUTTON_HEIGHT,
+                onClicked: () =>
+                {
+                    Sound.playClick();
+                    setPage(contentsTable[i]);
+                    TOCMenu.hide();
+                }
+            }));
+        }
+        return children;
+    };
+    let TOCMenu = ui.createPopup
+    ({
+        title: getLoc('menuTOC'),
+        content: ui.createScrollView
+        ({
+            heightRequest: ui.screenHeight * 0.36,
+            content: ui.createGrid
+            ({
+                columnDefinitions: ['80*', '20*'],
+                children: getContentsTable()
+            })
+        })
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: Localization.format(getLoc('menuManual'), page + 1,
+        getLoc('manual').length),
+        isPeekable: true,
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                pageTitle,
+                ui.createFrame
+                ({
+                    padding: new Thickness(8, 6),
+                    heightRequest: ui.screenHeight * 0.32,
+                    content: ui.createScrollView
+                    ({
+                        content: ui.createStackLayout
+                        ({
+                            children:
+                            [
+                                pageContents,
+                                sourceGrid
+                            ]
+                        })
+                    })
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createGrid
+                ({
+                    columnDefinitions: ['30*', '30*', '30*'],
+                    children:
+                    [
+                        prevButton,
+                        constructButton,
+                        tocButton,
+                        nextButton
+                    ]
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
+let createSeqViewMenu = (level) =>
+{
+    let pageTitle = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelChars'),
+        renderer.levels[level].length),
+        margin: new Thickness(0, 4),
+        heightRequest: 20,
+        horizontalTextAlignment: TextAlignment.CENTER,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let pageContents = ui.createLabel
+    ({
+        fontFamily: FontFamily.CMU_REGULAR,
+        fontSize: 16,
+        text: renderer.system.reconstruct(renderer.levels[level],
+        renderer.levelParams[level]),
+        lineBreakMode: LineBreakMode.CHARACTER_WRAP
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: Localization.format(getLoc('menuSequence'), tmpSystemName,
+        level),
+        isPeekable: true,
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                pageTitle,
+                ui.createFrame
+                ({
+                    padding: new Thickness(8, 6),
+                    heightRequest: ui.screenHeight * 0.28,
+                    content: ui.createScrollView
+                    ({
+                        content: ui.createStackLayout
+                        ({
+                            children:
+                            [
+                                pageContents
+                            ]
+                        })
+                    })
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
+let createSequenceMenu = () =>
+{
+    let tmpLvls = [];
+    for(let i = 0; i < renderer.levels.length; ++i)
+    {
+        tmpLvls.push(ui.createLatexLabel
+        ({
+            text: Localization.format(getLoc('labelLevelSeq'), i,
+            renderer.levels[i].length),
+            row: i,
+            column: 0,
+            verticalTextAlignment: TextAlignment.CENTER
+        }));
+        tmpLvls.push(ui.createButton
+        ({
+            text: getLoc('btnView'),
+            row: i,
+            column: 1,
+            heightRequest: SMALL_BUTTON_HEIGHT,
+            onClicked: () =>
+            {
+                Sound.playClick();
+                let viewMenu = createSeqViewMenu(i);
+                viewMenu.show();
+            }
+        }));
+    }
+    let seqGrid = ui.createGrid
+    ({
+        columnDefinitions: ['70*', '30*'],
+        children: tmpLvls
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: tmpSystemName,
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createScrollView
+                ({
+                    heightRequest: () => Math.max(SMALL_BUTTON_HEIGHT,
+                    Math.min(ui.screenHeight * 0.36, seqGrid.height)),
+                    content: seqGrid
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
+let createWorldMenu = () =>
+{
+    let tmpOD = offlineReset;
+    let ODSwitch = ui.createSwitch
+    ({
+        isToggled: tmpOD,
+        row: 0,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpOD = !tmpOD;
+                ODSwitch.isToggled = tmpOD;
+            }
+        }
+    });
+    let tmpRL = resetLvlOnConstruct;
+    let RLSwitch = ui.createSwitch
+    ({
+        isToggled: tmpRL,
+        row: 1,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpRL = !tmpRL;
+                RLSwitch.isToggled = tmpRL;
+            }
+        }
+    });
+    let tmpAC = altTerEq;
+    let ACLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelTerEq'),
+        getLoc('terEqModes')[Number(tmpAC)]),
+        row: 2,
+        column: 0,
+        verticalTextAlignment: TextAlignment.CENTER
+    });
+    let ACSwitch = ui.createSwitch
+    ({
+        isToggled: tmpAC,
+        row: 2,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpAC = !tmpAC;
+                ACSwitch.isToggled = tmpAC;
+                ACLabel.text = Localization.format(getLoc('labelTerEq'),
+                getLoc('terEqModes')[Number(tmpAC)]);
+            }
+        }
+    });
+    let tmpMP = measurePerformance;
+    let MPSwitch = ui.createSwitch
+    ({
+        isToggled: tmpMP,
+        row: 3,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpMP = !tmpMP;
+                MPSwitch.isToggled = tmpMP;
+            }
+        }
+    });
+    let tmpDCP = debugCamPath;
+    let DCPSwitch = ui.createSwitch
+    ({
+        isToggled: tmpDCP,
+        row: 4,
+        column: 1,
+        horizontalOptions: LayoutOptions.END,
+        onTouched: (e) =>
+        {
+            if(e.type == TouchType.SHORTPRESS_RELEASED ||
+                e.type == TouchType.LONGPRESS_RELEASED)
+            {
+                Sound.playClick();
+                tmpDCP = !tmpDCP;
+                DCPSwitch.isToggled = tmpDCP;
+            }
+        }
+    });
+    let tmpMCPT = maxCharsPerTick;
+    let MCPTEntry = ui.createEntry
+    ({
+        text: tmpMCPT.toString(),
+        keyboard: Keyboard.NUMERIC,
+        row: 5,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpMCPT = Number(nt);
+        }
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuTheory'),
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createGrid
+                ({
+                    columnDefinitions: ['70*', '30*'],
+                    // rowDefinitions: [40, 40, 40, 40],
+                    children:
+                    [
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelOfflineReset'),
+                            row: 0,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        ODSwitch,
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelResetLvl'),
+                            row: 1,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        RLSwitch,
+                        ACLabel,
+                        ACSwitch,
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelMeasure'),
+                            row: 3,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        MPSwitch,
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('debugCamPath'),
+                            row: 4,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        DCPSwitch,
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelMaxCharsPerTick'),
+                            row: 5,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        MCPTEntry,
+                        ui.createLatexLabel
+                        ({
+                            text: getLoc('labelInternalState'),
+                            row: 6,
+                            column: 0,
+                            verticalTextAlignment: TextAlignment.CENTER
+                        }),
+                        ui.createButton
+                        ({
+                            text: getLoc('btnClipboard'),
+                            row: 6,
+                            column: 1,
+                            heightRequest: SMALL_BUTTON_HEIGHT,
+                            onClicked: () =>
+                            {
+                                let clipMenu = createStateClipboardMenu(
+                                getInternalState());
+                                clipMenu.show();
+                            }
+                        }),
+                    ]
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createButton
+                ({
+                    text: getLoc('btnSave'),
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        offlineReset = tmpOD;
+                        resetLvlOnConstruct = tmpRL;
+                        altTerEq = tmpAC;
+                        if(tmpMP != measurePerformance && tmpMP)
+                        {
+                            drawMeasurer.reset();
+                            camMeasurer.reset();
+                        }
+                        measurePerformance = tmpMP;
+                        if(tmpDCP != debugCamPath)
+                            renderer.reset();
+                        debugCamPath = tmpDCP;
+                        maxCharsPerTick = tmpMCPT;
+                        menu.hide();
+                    }
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
+var getInternalState = () => JSON.stringify
+({
+    version: version,
+    time: time,
+    page: page,
+    offlineReset: offlineReset,
+    altTerEq: altTerEq,
+    tickDelayMode: tickDelayMode,
+    resetLvlOnConstruct: resetLvlOnConstruct,
+    measurePerformance: measurePerformance,
+    debugCamPath: debugCamPath,
+    maxCharsPerTick: maxCharsPerTick,
+    renderer: renderer.object,
+    system: tmpSystem ?
+    {
+        title: tmpSystemName,
+        desc: tmpSystemDesc,
+        ...tmpSystem.object
+    } :
+    {
+        title: tmpSystemName,
+        desc: tmpSystemDesc,
+        ...renderer.system.object
+    },
+    savedSystems: Object.fromEntries(savedSystems)
+});
+
+var setInternalState = (stateStr) =>
+{
+    if(!stateStr)
+        return;
+
+    let values = stateStr.split('\n');
+
+    let worldValues = values[0].split(' ');
+    let stateVersion = 0;
+    if(worldValues.length > 0)
+        stateVersion = Number(worldValues[0]);
+
+    if(isNaN(stateVersion))
+    {
+        let state = JSON.parse(stateStr);
+        log(`Loading JSON state (version: ${state.version})`);
+        if('time' in state)
+            time = state.time;
+        if('page' in state)
+            page = state.page;
+        if('offlineReset' in state)
+            offlineReset = state.offlineReset;
+        if('altTerEq' in state)
+            altTerEq = state.altTerEq;
+        if('tickDelayMode' in state)
+            tickDelayMode = state.tickDelayMode;
+        if('resetLvlOnConstruct' in state)
+            resetLvlOnConstruct = state.resetLvlOnConstruct;
+        if('measurePerformance' in state)
+            measurePerformance = state.measurePerformance;
+        if('debugCamPath' in state)
+            debugCamPath = state.debugCamPath;
+        if('maxCharsPerTick' in state)
+            maxCharsPerTick = state.maxCharsPerTick;
+        
+        if('system' in state)
+        {
+            tmpSystemName = state.system.title;
+            tmpSystemDesc = state.system.desc;
+            tmpSystem = new LSystem(state.system.axiom, state.system.rules,
+            state.system.turnAngle, state.system.seed, state.system.ignoreList,
+            state.system.tropism);
+        }
+        
+        if('renderer' in state)
+        {
+            renderer = new Renderer(new LSystem(), state.renderer.figureScale,
+            state.renderer.cameraMode, state.renderer.camX, state.renderer.camY,
+            state.renderer.camZ, state.renderer.followFactor,
+            state.renderer.loopMode, state.renderer.upright,
+            state.renderer.quickDraw, state.renderer.quickBacktrack,
+            state.renderer.loadModels, state.renderer.backtrackTail,
+            state.renderer.hesitateApex, state.renderer.hesitateFork);
+        }
+        else
+            renderer = new Renderer(system);
+
+        if('savedSystems' in state)
+            savedSystems = new Map(Object.entries(state.savedSystems));
+    }
+    // Doesn't even need checking the version number; if it appears at all then
+    // it's definitely written before switching to JSON
+    else
+    {
+        log(`Loading space-separated state (version: ${stateVersion})`);
+        if(worldValues.length > 1)
+            time = Number(worldValues[1]);
+        if(worldValues.length > 2)
+            page = Number(worldValues[2]);
+        if(worldValues.length > 3)
+            offlineReset = Boolean(Number(worldValues[3]));
+        if(worldValues.length > 4)
+            altTerEq = Boolean(Number(worldValues[4]));
+        if(worldValues.length > 5)
+            tickDelayMode = Boolean(Number(worldValues[5]));        
+        if(worldValues.length > 6)
+            resetLvlOnConstruct = Boolean(Number(worldValues[6]));
+        let noofSystems = 0;
+        if(worldValues.length > 7)
+            noofSystems = Number(worldValues[7]);
+
+        if(values.length > 1)
+        {
+            let rv = values[1].split(' ');
+            if(rv.length > 2)
+                rv[2] = Number(rv[2]);  // cameraMode
+            if(rv.length > 6)
+                rv[6] = Number(rv[6]);
+            if(rv.length > 7)
+                rv[7] = Number(rv[7]);
+            if(rv.length > 8)
+                rv[8] = Boolean(Number(rv[8]));
+            if(rv.length > 9)
+                rv[9] = Boolean(Number(rv[9]));
+            if(rv.length > 10)
+                rv[10] = Boolean(Number(rv[10]));
+            if(rv.length > 12)  // camera offset
+                rv[3] = `${rv[3]}*${rv[0]}*${rv[1]}^lv+${rv[12]}`;
+            if(rv.length > 13)
+                rv[4] = `${rv[4]}*${rv[0]}*${rv[1]}^lv+${rv[13]}`;
+            if(rv.length > 14)
+                rv[5] = `${rv[5]}*${rv[0]}*${rv[1]}^lv+${rv[14]}`;
+                rv[1] = `${rv[0]}*${rv[1]}^lv`;
+            if(rv.length > 15)
+                rv[12] = Boolean(Number(rv[15]));
+            
+            for(let i = 13; i < rv.length; ++i)
+                rv[i] = undefined;
+
+            if(stateVersion < 0.2)
+            {
+                if(values.length > 2)
+                {
+                    let systemValues = values[2].split(' ');
+                    let system = new LSystem(systemValues[0],
+                    systemValues.slice(3), Number(systemValues[1]),
+                    Number(systemValues[2]));
+                    renderer = new Renderer(system, ...rv.slice(1));
+                }
+                else
+                    renderer = new Renderer(new LSystem(), ...rv.slice(1));
+            }
+            else
+            {
+                if(values.length > 2)
+                    tmpSystemName = values[2];
+                if(values.length > 3)
+                    tmpSystemDesc = values[3];
+                if(values.length > 4)
+                {
+                    let systemValues = values[4].split(' ');
+                    let system = new LSystem(systemValues[0],
+                    systemValues.slice(3), Number(systemValues[1]),
+                    Number(systemValues[2]));
+                    renderer = new Renderer(system, ...rv.slice(1));
+                }
+                else
+                    renderer = new Renderer(new LSystem(), ...rv.slice(1));
+            }
+        }
+        
+        if(stateVersion < 0.2)
+        {
+            // Load everything.
+            for(let i = 0; 4 + i * 2 < values.length; ++i)
+                savedSystems.set(values[3 + i * 2],
+                {
+                    desc: getLoc('noDescription'),
+                    system: values[4 + i * 2],
+                    config: ['1', '0', '0', '0', false]
+                });
+        }
+        else
+        {
+            for(let i = 0; i < noofSystems; ++i)
+            {
+                let rv = values[9 + i * 5].split(' ');
+                if(rv.length > 5)
+                    rv[2] = `${rv[2]}*${rv[0]}*${rv[1]}^lv+${rv[5]}`;
+                if(rv.length > 6)
+                    rv[3] = `${rv[3]}*${rv[0]}*${rv[1]}^lv+${rv[6]}`;
+                if(rv.length > 7)
+                {
+                    rv[4] = `${rv[4]}*${rv[0]}*${rv[1]}^lv+${rv[7]}`;
+                    rv[1] = `${rv[0]}*${rv[1]}^lv`;
+                }
+                if(rv.length > 8)
+                    rv[5] = Boolean(Number(rv[8]));
+                
+                for(let i = 6; i < rv.length; ++i)
+                    rv[i] = undefined;
+
+                savedSystems.set(values[6 + i * 5], {
+                    desc: values[7 + i * 5],
+                    system: values[8 + i * 5],
+                    config: rv.slice(1)
+                });
+            }
+        }
+    }
+}
+
+var canResetStage = () => true;
+
+var getResetStageMessage = () => getLoc('resetRenderer');
+
+var resetStage = () => renderer.reset();
+
+var getTertiaryEquation = () =>
+{
+    if(altTerEq)
+        return renderer.oriString;
+
+    return renderer.stateString;
+}
+
+var get3DGraphPoint = () =>
+{
+    if(debugCamPath)
+        return -renderer.camera;
+    
+    return renderer.cursor;
+}
+
+var get3DGraphTranslation = () =>
+{
+    if(measurePerformance)
+        camMeasurer.stamp();
+
+    let result = renderer.camera;
+
+    if(measurePerformance)
+        camMeasurer.stamp();
+
+    return result;
+}
+
+init();
 
 let testSuite = () =>
 {
@@ -2927,5 +5754,3 @@ let testSuite = () =>
     let b2p = tmpDeriv.params;
     log(arrow.reconstruct(b2, b2p));
 }
-
-testSuite();

From 4c8c538bf58b2c08e22f0d2193e92f6567e92acc Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 19:31:21 +0700
Subject: [PATCH 64/94] Fixed various LS bugs

---
 TODO.md       | 32 +++++++++++++++-----------------
 parametric.js | 16 +++++++++-------
 2 files changed, 24 insertions(+), 24 deletions(-)

diff --git a/TODO.md b/TODO.md
index 4d2287e..07ebca0 100644
--- a/TODO.md
+++ b/TODO.md
@@ -39,8 +39,8 @@
     - Lemma stages?
   - Make `f` move without returning like `F`
   - Top-down processing priority
-  - [ ] Regex magic to separate string into actual sequence of symbols
-  - [ ] Issue: regex for nested brackets in parameters?
+  - [x] Regex magic to separate string into actual sequence of symbols
+  - [x] Issue: regex for nested brackets in parameters?
   - Equal comparison changed to `==` instead of `=` in abop to differentiate
   from the syntax
   - Store as an extra array of objects
@@ -48,11 +48,21 @@
   would've been already stripped down by the time it gets to the turtle
   - `~`: Parameters of the following symbol can control model size in rule
 
-- [ ] Investigate Houdini stochastic syntax for weighted derivations
+- [ ] Revamp sequence menu
+  - Level 0: 10 chars (`View`)
+  - [x] Classic LS: displays the entire string in a label
+  - Parametric LS: displays symbols and parameters side by side, one symbol/row
+
+- [x] Turning angles (and tropism)
+  - Formula expressions allow shenanigans such as `360/7`, mostly
+  - [ ] Button to change mode between degrees and radians?
+
+## 1.0: Completed
+
+- [x] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Stochastic in PLSR: has to be on the same line
-
-- [ ] Context sensitivity
+- [x] Context sensitivity
   - `b < a > c → aa`
   - Parametric: **context ignore** replaces regular ignore list in LS menu
   - [x] Skipping over brackets? hmm, difficult
@@ -67,18 +77,6 @@
     - Does this work with the dynamic loading system with all the data passing?
   - If stored by maps: Keys can be any data type.
   - If stored by objects: written in `parametric_lsystem.js`
-
-- [ ] Revamp sequence menu
-  - Level 0: 10 chars (`View`)
-  - [x] Classic LS: displays the entire string in a label
-  - Parametric LS: displays symbols and parameters side by side, one symbol/row
-
-- [x] Turning angles (and tropism)
-  - Formula expressions allow shenanigans such as `360/7`, mostly
-  - [ ] Button to change mode between degrees and radians?
-
-## 1.0: Completed
-
 - [x] Update docstrings
 - [x] Buttons in LS menu to move up down (swap rules)
   - How to update rule entries?
diff --git a/parametric.js b/parametric.js
index a4c5843..f070e4e 100644
--- a/parametric.js
+++ b/parametric.js
@@ -466,7 +466,7 @@ class Quaternion
             default:
                 return this;
         }
-        return rotation.mul(this);
+        return rotation.mul(this).normalise;
     }
     /**
      * Computes the negation of a quaternion. The negation also acts as the
@@ -688,10 +688,10 @@ class LSystem
         }
         
         let ruleMatches = [];
-        for(let i = 0; i < rules.length; ++i)
+        for(let i = 0; i < this.userInput.rules.length; ++i)
         {
-            ruleMatches.push([...rules[i].replace(TRIM_SP, '').match(
-            LS_RULE)]);
+            ruleMatches.push([...this.userInput.rules[i].replace(TRIM_SP, '').
+            match(LS_RULE)]);
             // Indices 1, 3, 4 are context, condition, and all derivations
         }
         this.rules = new Map();
@@ -832,9 +832,9 @@ class LSystem
             // Finally, push rule
             if(contextMatch[6] == '~')
             {
-                if(!this.models.has(contextMatch[6]))
-                    this.models.set(contextMatch[6], []);
-                this.models.get(contextMatch[6]).push(tmpRule);
+                if(!this.models.has(contextMatch[10]))
+                    this.models.set(contextMatch[10], []);
+                this.models.get(contextMatch[10]).push(tmpRule);
             }
             else
             {
@@ -2025,10 +2025,12 @@ class Renderer
                                 this.mdi[this.mdi.length - 1]] == 'F' &&
                                 this.modelParams[this.models.length - 1][
                                 this.mdi[this.mdi.length - 1]])
+                                {
                                     this.forward(this.modelParams[
                                     this.models.length - 1][
                                     this.mdi[this.mdi.length - 1]][
                                     0].toNumber());
+                                }
                                 else
                                     this.forward();
                             }

From 17b583d2069227b6e956d58f9aa366d4745778ac Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 19:57:51 +0700
Subject: [PATCH 65/94] Fixed deriveModel crashing at null values

---
 parametric.js | 18 ++++++++++--------
 1 file changed, 10 insertions(+), 8 deletions(-)

diff --git a/parametric.js b/parametric.js
index f070e4e..7047275 100644
--- a/parametric.js
+++ b/parametric.js
@@ -1179,16 +1179,18 @@ class LSystem
                         ++k)
                         {
                             let derivPi = null;
-                            for(let l = 0; l < tmpRules[j].parameters[k].
-                            length; ++l)
+                            if(tmpRules[j].parameters[k])
                             {
-                                if(tmpRules[j].parameters[k][l])
+                                for(let l = 0; l < tmpRules[j].parameters[k].
+                                length; ++l)
                                 {
-                                    if(!derivPi)
-                                        derivPi = [];
-                                    derivPi.push(
-                                    tmpRules[j].parameters[k][l].evaluate(
-                                    tmpParamMap));
+                                    if(tmpRules[j].parameters[k][l])
+                                    {
+                                        if(!derivPi)
+                                            derivPi = [];
+                                        derivPi.push(tmpRules[j].parameters[k][
+                                        l].evaluate(tmpParamMap));
+                                    }
                                 }
                             }
                             resultParams.push(derivPi);

From b5e93c1f56bccfd62da52fc22139046db85de359 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 21:32:11 +0700
Subject: [PATCH 66/94] Added stage navigation to sequence menu

---
 TODO.md       |  4 +++-
 classic.js    | 55 +++++++++++++++++++++++++++++++++++++++++++++++---
 parametric.js | 56 ++++++++++++++++++++++++++++++++++++++++++++++++---
 3 files changed, 108 insertions(+), 7 deletions(-)

diff --git a/TODO.md b/TODO.md
index 07ebca0..48f04ca 100644
--- a/TODO.md
+++ b/TODO.md
@@ -48,10 +48,12 @@
   would've been already stripped down by the time it gets to the turtle
   - `~`: Parameters of the following symbol can control model size in rule
 
-- [ ] Revamp sequence menu
+- [x] Revamp sequence menu
   - Level 0: 10 chars (`View`)
   - [x] Classic LS: displays the entire string in a label
   - Parametric LS: displays symbols and parameters side by side, one symbol/row
+    - Scrapped lol
+  - [x] Stage navigation
 
 - [x] Turning angles (and tropism)
   - Formula expressions allow shenanigans such as `360/7`, mostly
diff --git a/classic.js b/classic.js
index 9282060..b5ae4ef 100644
--- a/classic.js
+++ b/classic.js
@@ -5483,7 +5483,7 @@ let createSeqViewMenu = (level) =>
 {
     let pageTitle = ui.createLatexLabel
     ({
-        text: Localization.format(getLoc('labelChars'),
+        text: Localization.format(getLoc('labelLevelSeq'), level,
         renderer.levels[level].length),
         margin: new Thickness(0, 4),
         heightRequest: 20,
@@ -5497,11 +5497,46 @@ let createSeqViewMenu = (level) =>
         text: renderer.levels[level],
         lineBreakMode: LineBreakMode.CHARACTER_WRAP
     });
+    let prevButton = ui.createButton
+    ({
+        text: getLoc('btnPrev'),
+        row: 0,
+        column: 0,
+        isVisible: level > 0,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            if(level > 0)
+                setPage(level - 1);
+        }
+    });
+    let nextButton = ui.createButton
+    ({
+        text: getLoc('btnNext'),
+        row: 0,
+        column: 1,
+        isVisible: level < renderer.levels.length - 1,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            if(level < renderer.levels.length - 1)
+                setPage(level + 1);
+        }
+    });
+    let setPage = (p) =>
+    {
+        level = p;
+        pageTitle.text = Localization.format(getLoc('labelLevelSeq'), level,
+        renderer.levels[level].length);
+        pageContents.text = renderer.levels[level];
+
+        prevButton.isVisible = level > 0;
+        nextButton.isVisible = level < renderer.levels.length - 1;
+    };
 
     let menu = ui.createPopup
     ({
-        title: Localization.format(getLoc('menuSequence'), tmpSystemName,
-        level),
+        title: tmpSystemName,
         isPeekable: true,
         content: ui.createStackLayout
         ({
@@ -5522,6 +5557,20 @@ let createSeqViewMenu = (level) =>
                             ]
                         })
                     })
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createGrid
+                ({
+                    columnDefinitions: ['50*', '50*'],
+                    children:
+                    [
+                        prevButton,
+                        nextButton
+                    ]
                 })
             ]
         })
diff --git a/parametric.js b/parametric.js
index 7047275..bebd5b7 100644
--- a/parametric.js
+++ b/parametric.js
@@ -5153,7 +5153,7 @@ let createSeqViewMenu = (level) =>
 {
     let pageTitle = ui.createLatexLabel
     ({
-        text: Localization.format(getLoc('labelChars'),
+        text: Localization.format(getLoc('labelLevelSeq'), level,
         renderer.levels[level].length),
         margin: new Thickness(0, 4),
         heightRequest: 20,
@@ -5168,11 +5168,47 @@ let createSeqViewMenu = (level) =>
         renderer.levelParams[level]),
         lineBreakMode: LineBreakMode.CHARACTER_WRAP
     });
+    let prevButton = ui.createButton
+    ({
+        text: getLoc('btnPrev'),
+        row: 0,
+        column: 0,
+        isVisible: level > 0,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            if(level > 0)
+                setPage(level - 1);
+        }
+    });
+    let nextButton = ui.createButton
+    ({
+        text: getLoc('btnNext'),
+        row: 0,
+        column: 1,
+        isVisible: level < renderer.levels.length - 1,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            if(level < renderer.levels.length - 1)
+                setPage(level + 1);
+        }
+    });
+    let setPage = (p) =>
+    {
+        level = p;
+        pageTitle.text = Localization.format(getLoc('labelLevelSeq'), level,
+        renderer.levels[level].length);
+        pageContents.text = renderer.system.reconstruct(renderer.levels[level],
+        renderer.levelParams[level]);
+
+        prevButton.isVisible = level > 0;
+        nextButton.isVisible = level < renderer.levels.length - 1;
+    };
 
     let menu = ui.createPopup
     ({
-        title: Localization.format(getLoc('menuSequence'), tmpSystemName,
-        level),
+        title: tmpSystemName,
         isPeekable: true,
         content: ui.createStackLayout
         ({
@@ -5193,6 +5229,20 @@ let createSeqViewMenu = (level) =>
                             ]
                         })
                     })
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createGrid
+                ({
+                    columnDefinitions: ['50*', '50*'],
+                    children:
+                    [
+                        prevButton,
+                        nextButton
+                    ]
                 })
             ]
         })

From 3540ecb51e82b220b7f4ba80f182472f2da46c7d Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Tue, 28 Feb 2023 23:24:22 +0700
Subject: [PATCH 67/94] Fixed derive returning undefined if rule not found

---
 TODO.md       | 23 +++++++++----------
 classic.js    |  2 +-
 parametric.js | 62 +++++++++++++++++++++++++++++++++++++++++++++++++--
 3 files changed, 71 insertions(+), 16 deletions(-)

diff --git a/TODO.md b/TODO.md
index 48f04ca..875e52c 100644
--- a/TODO.md
+++ b/TODO.md
@@ -18,18 +18,16 @@
 - [ ] Localisation
 - [ ] Folders for saved systems
 - [ ] Ask Gilles about changing the spline used in 3D graph
-- [ ] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
-
-## 1.0, Mistletoe ed.
-
 - Too much hassle to implement, defer them to LG:
   - [ ] Option to use old tropisme
   - [ ] Tropism direction
     - Maybe can have 4 arguments
-
+- [x] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
 - [ ] Compress internal state? LZW, LZP
   - [ ] Or just separate into multiple lines, with an add button
 
+## 1.0, Mistletoe ed.
+
 - [ ] Parametric systems
   - [ ] New option in constructor for MathExpression variables
     - [ ] Button in LS menu next to axiom entry
@@ -48,19 +46,18 @@
   would've been already stripped down by the time it gets to the turtle
   - `~`: Parameters of the following symbol can control model size in rule
 
+## 1.0: Completed
+
+- [x] Turning angles (and tropism)
+  - Formula expressions allow shenanigans such as `360/7`, mostly
+  - [ ] Button to change mode between degrees and radians?
+    - Probably scrap too lol
 - [x] Revamp sequence menu
   - Level 0: 10 chars (`View`)
   - [x] Classic LS: displays the entire string in a label
-  - Parametric LS: displays symbols and parameters side by side, one symbol/row
+  - [ ] Parametric LS: displays symbols and params side by side, one symbol/row
     - Scrapped lol
   - [x] Stage navigation
-
-- [x] Turning angles (and tropism)
-  - Formula expressions allow shenanigans such as `360/7`, mostly
-  - [ ] Button to change mode between degrees and radians?
-
-## 1.0: Completed
-
 - [x] Investigate Houdini stochastic syntax for weighted derivations
 `[left_ctx<] symbol [>right_ctx] [:condition] = replacement [:probability]`
   - Stochastic in PLSR: has to be on the same line
diff --git a/classic.js b/classic.js
index b5ae4ef..299be87 100644
--- a/classic.js
+++ b/classic.js
@@ -270,7 +270,7 @@ const locStrings =
             {
                 title: 'Introduction',
                 contents:
-`Welcome to the (Classic) L-systems Renderer! This guide aims to help you ` +
+`Welcome to the Classic L-systems Renderer! This guide aims to help you ` +
 `understand the basics of L-systems, as well as instructions on how to ` +
 `effectively use this theory to construct and render them.
 
diff --git a/parametric.js b/parametric.js
index bebd5b7..265b3fa 100644
--- a/parametric.js
+++ b/parametric.js
@@ -261,12 +261,54 @@ const locStrings =
                 contents:
 `Welcome to the Parametric L-systems Renderer! This guide aims to help you ` +
 `understand parametric L-systems in detail, as well as instructions on how ` +
-`to effectively use this theory to construct and render them.
+`to effectively use this theory to construct and render them. Before using ` +
+`the theory however, it is recommended to try out the Classic version first.
 
-Let's start discovering the wonders of L-systems (and the renderer).
+Without further a due, let's start discovering the wonders of L-systems.
 
 Notice: A gallery for regular L-systems has opened! Visit that theory instead.`
             },
+            {
+                title: 'Differences between LSR versions',
+                contents:
+`First of all, the terminology for Level has been changed to Stage.
+That was the only major change.
+
+Anyway. In Parametric, as multiple rules can exist for one symbol, they are ` +
+`checked from top to bottom when deriving, regardless of context or condition.
+This is different from how it was defined in The Algorithmic Beauty of ` +
+`Plants, where rules with a context are prioritised. Therefore, arrange your ` +
+`rules accordingly.
+
+Declaring models now has a different syntax to align more with ` +
+`context-sensitivity:
+~ > {symbol} = {model}
+Referencing a model in another rule still uses the old syntax:
+~{symbol}`
+            },
+            {
+                title: 'Context-sensitivity',
+                contents:
+`One of the main weaknesses in the original L-system syntax comes from the ` +
+`fact that each symbol has no way of interacting with other symbols. This ` +
+`makes it unfit for applications of cellular automata or modelling forms of ` +
+`communication between a plant's organs.
+
+Context-sensitive L-systems allow this to work, by letting a symbol see both ` +
+`its ancestor (the symbol to its immediate left), and its child to the right ` +
+`(children, if it opens up multiple branches). A context-sensitive rule goes ` +
+`as follows:
+{left} < {symbol} > {right} = {derivation}
+The symbol will only derive according to this rule if its ancestor bears the ` +
+`same symbol as {left}, and one of its children bears the same symbol as ` +
+`{right}.
+
+LSR uses a context-sensitive 2L-system, where the 2 means that a context is ` +
+`determined by two symbols: an ancestor and a child.`
+            },
+            {
+                title: 'Example: '
+            }
         ]
     }
 };
@@ -1023,6 +1065,7 @@ class LSystem
             else if(this.rules.has(sequence[i]))
             {
                 let tmpRules = this.rules.get(sequence[i]);
+                let ruleChoice = -1;
                 for(let j = 0; j < tmpRules.length; ++j)
                 {
                     // Left and right first
@@ -1079,6 +1122,7 @@ class LSystem
                                 derivParams.push(derivPi);
                             }
                         }
+                        ruleChoice = j;
                         break;
                     }
                     else    // Stochastic time
@@ -1132,9 +1176,15 @@ class LSystem
                         // log(`roll = ${roll} choice = ${choice}`)
                         if(choice == -1)
                             continue;
+                        ruleChoice = j;
                         break;
                     }
                 }
+                if(ruleChoice == -1)
+                {
+                    deriv = sequence[i];
+                    derivParams = [seqParams[i]];
+                }
             }
             else
             {
@@ -1162,6 +1212,7 @@ class LSystem
         if(this.models.has(symbol))
         {
             let tmpRules = this.models.get(symbol);
+            let ruleChoice = -1;
             for(let j = 0; j < tmpRules.length; ++j)
             {
                 let tmpParamMap = (v) => tmpRules[j].paramMap(v,
@@ -1196,6 +1247,7 @@ class LSystem
                             resultParams.push(derivPi);
                         }
                     }
+                    ruleChoice = j;
                     break;
                 }
                 else    // Stochastic time
@@ -1250,9 +1302,15 @@ class LSystem
                     // log(`roll = ${roll} choice = ${choice}`)
                     if(choice == -1)
                         continue;
+                    ruleChoice = j;
                     break;
                 }
             }
+            if(ruleChoice == -1)
+            {
+                deriv = sequence[i];
+                derivParams = [seqParams[i]];
+            }
         }
         return {
             result: result,

From d3477deb4a25c08187a78ac135abd166418524b3 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 1 Mar 2023 00:16:03 +0700
Subject: [PATCH 68/94] Added context-ignore input

---
 TODO.md       |   1 +
 parametric.js | 166 ++++++++++++++++++++++++++++++++++----------------
 2 files changed, 116 insertions(+), 51 deletions(-)

diff --git a/TODO.md b/TODO.md
index 875e52c..ef20adb 100644
--- a/TODO.md
+++ b/TODO.md
@@ -29,6 +29,7 @@
 ## 1.0, Mistletoe ed.
 
 - [ ] Parametric systems
+  - [x] Input context-ignored symbols
   - [ ] New option in constructor for MathExpression variables
     - [ ] Button in LS menu next to axiom entry
   - Different classes
diff --git a/parametric.js b/parametric.js
index 265b3fa..9527313 100644
--- a/parametric.js
+++ b/parametric.js
@@ -125,7 +125,6 @@ const LS_RULE = /([^:]+)(:(.+))?=(.*)/;
 // Context doesn't need to check for nested brackets!
 const LS_CONTEXT =
 /((.)(\(([^\)]+)\))?<)?((.)(\(([^\)]+)\))?)(>(.)(\(([^\)]+)\))?)?/;
-const CTX_IGNORE_LIST = new Set('FfT+-&^\\/|{.}%~$');
 const BACKTRACK_LIST = new Set('+-&^\\/|[$T');
 
 const locStrings =
@@ -198,7 +197,8 @@ const locStrings =
         labelAxiom: 'Axiom: ',
         labelAngle: 'Turning angle (°): ',
         labelRules: 'Production rules: {0}',
-        labelIgnored: 'Ignored symbols: ',
+        labelIgnored: 'Turtle-ignored: ',
+        labelCtxIgnored: 'Context-ignored: ',
         labelTropism: 'Tropism (gravity): ',
         labelSeed: 'Seed (≠ 0): ',
 
@@ -303,11 +303,28 @@ The symbol will only derive according to this rule if its ancestor bears the ` +
 `same symbol as {left}, and one of its children bears the same symbol as ` +
 `{right}.
 
-LSR uses a context-sensitive 2L-system, where the 2 means that a context is ` +
-`determined by two symbols: an ancestor and a child.`
+Note: LSR uses a context-sensitive 2L-system, where the 2 means that a ` +
+`context is determined by two symbols: an ancestor and a child.
+
+Note 2: The list of context-ignored symbols can be configured in the ` + 
+`L-system menu.`
             },
             {
-                title: 'Example: '
+                title: 'Example: Signal propagation',
+                contents:
+`A simple signal sent by the concurrent youth. The signal, denoted by the ` +
+`letter 🅱, starts from the 🅱ase of the tree and travels to the to🅿️.
+
+Axiom: B[+AAA]A[-AA]A[+A]A
+B < A = B
+B = A
+Context-ignored: +-
+Turning angle: 30°
+
+Applies static camera:
+Scale: 4
+Centre: (0, 2, 0)
+Upright`
             }
         ]
     }
@@ -699,7 +716,7 @@ class LSystem
      * @param {object} variables NOT IMPLEMENTED
      */
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
-    ignoreList = '', tropism = 0, variables = {})
+    ignoreList = '', ctxIgnoreList = '', tropism = 0, variables = {})
     {
         // User input
         this.userInput =
@@ -709,6 +726,7 @@ class LSystem
             turnAngle: turnAngle,
             seed: seed,
             ignoreList: ignoreList,
+            ctxIgnoreList: ctxIgnoreList,
             tropism: tropism,
             variables: variables
         };
@@ -887,6 +905,7 @@ class LSystem
         }
 
         this.ignoreList = new Set(ignoreList);
+        this.ctxIgnoreList = new Set(ctxIgnoreList);
 
         this.RNG = new Xorshift(seed);
         this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate() *
@@ -991,7 +1010,7 @@ class LSystem
                     idxStack.pop();
                     break;
                 default:
-                    let ignored = CTX_IGNORE_LIST.has(sequence[i]);
+                    let ignored = this.ctxIgnoreList.has(sequence[i]);
                     if(ignored)
                         break;
                     
@@ -1357,6 +1376,7 @@ class LSystem
      *  turnAngle: string,
      *  seed: number,
      *  ignoreList: string,
+     *  ctxIgnoreList: string,
      *  tropism: string,
      *  variables: object
      * }}
@@ -1369,6 +1389,7 @@ class LSystem
             turnAngle: this.userInput.turnAngle,
             seed: this.userInput.seed,
             ignoreList: this.userInput.ignoreList,
+            ctxIgnoreList: this.userInput.ctxIgnoreList,
             tropism: this.userInput.tropism,
             variables: this.userInput.variables
         };
@@ -3799,18 +3820,6 @@ let createSystemMenu = () =>
             tmpAxiom = nt;
         }
     });
-    let tmpAngle = values.turnAngle || '0';
-    let angleEntry = ui.createEntry
-    ({
-        text: tmpAngle.toString(),
-        row: 1,
-        column: 1,
-        horizontalTextAlignment: TextAlignment.END,
-        onTextChanged: (ot, nt) =>
-        {
-            tmpAngle = nt;
-        }
-    });
     let tmpRules = values.rules;
     let ruleEntries = [];
     let ruleMoveBtns = [];
@@ -3899,7 +3908,7 @@ let createSystemMenu = () =>
             ruleStack.children = [...ruleEntries, ...ruleMoveBtns];
         }
     });
-    let tmpIgnore = values.ignoreList;
+    let tmpIgnore = values.ignoreList || '';
     let ignoreEntry = ui.createEntry
     ({
         text: tmpIgnore,
@@ -3911,11 +3920,35 @@ let createSystemMenu = () =>
             tmpIgnore = nt;
         }
     });
+    let tmpCI = values.ctxIgnoreList || '';
+    let CIEntry = ui.createEntry
+    ({
+        text: tmpCI,
+        row: 1,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpCI = nt;
+        }
+    });
+    let tmpAngle = values.turnAngle || '0';
+    let angleEntry = ui.createEntry
+    ({
+        text: tmpAngle.toString(),
+        row: 2,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpAngle = nt;
+        }
+    });
     let tmpTropism = values.tropism || '0';
     let tropismEntry = ui.createEntry
     ({
         text: tmpTropism.toString(),
-        row: 2,
+        row: 3,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -3926,7 +3959,7 @@ let createSystemMenu = () =>
     let tmpSeed = values.seed || '0';
     let seedLabel = ui.createGrid
     ({
-        row: 3,
+        row: 4,
         column: 0,
         columnDefinitions: ['40*', '30*'],
         children:
@@ -3954,7 +3987,7 @@ let createSystemMenu = () =>
     ({
         text: tmpSeed.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 3,
+        row: 4,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4019,17 +4052,26 @@ let createSystemMenu = () =>
                                     ignoreEntry,
                                     ui.createLatexLabel
                                     ({
-                                        text: getLoc('labelAngle'),
+                                        text: getLoc('labelCtxIgnored'),
                                         row: 1,
                                         column: 0,
                                         verticalTextAlignment:
                                         TextAlignment.CENTER
                                     }),
+                                    CIEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelAngle'),
+                                        row: 2,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
                                     angleEntry,
                                     ui.createLatexLabel
                                     ({
                                         text: getLoc('labelTropism'),
-                                        row: 2,
+                                        row: 3,
                                         column: 0,
                                         verticalTextAlignment:
                                         TextAlignment.CENTER
@@ -4062,7 +4104,7 @@ let createSystemMenu = () =>
                             {
                                 Sound.playClick();
                                 renderer.constructSystem = new LSystem(tmpAxiom,
-                                tmpRules, tmpAngle, tmpSeed, tmpIgnore,
+                                tmpRules, tmpAngle, tmpSeed, tmpIgnore, tmpCI,
                                 tmpTropism);
                                 if(tmpSystem)
                                 {
@@ -4083,14 +4125,15 @@ let createSystemMenu = () =>
                                 Sound.playClick();
                                 let values = new LSystem().object;
                                 axiomEntry.text = values.axiom;
-                                angleEntry.text = values.turnAngle;
+                                angleEntry.text = values.turnAngle.toString();
                                 tmpRules = values.rules;
                                 ruleEntries = [];
                                 rulesLabel.text = Localization.format(
                                 getLoc('labelRules'), ruleEntries.length);
                                 ruleStack.children = ruleEntries;
                                 ignoreEntry.text = values.ignoreList;
-                                tropismEntry.text = values.tropism;
+                                CIEntry.text = values.ctxIgnoreList;
+                                tropismEntry.text = values.tropism.toString();
                                 seedEntry.text = values.seed.toString();
                             }
                         })
@@ -4315,7 +4358,7 @@ let createSystemClipboardMenu = (values) =>
                         renderer.constructSystem = new LSystem(sv.system.axiom,
                         sv.system.rules, sv.system.turnAngle,
                         sv.system.seed, sv.system.ignoreList,
-                        sv.system.tropism);
+                        sv.system.ctxIgnoreList, sv.system.tropism);
                         tmpSystem = null;
                         if('config' in sv)
                             renderer.configureStaticCamera(...sv.config);
@@ -4492,18 +4535,6 @@ let createViewMenu = (title, parentMenu) =>
             tmpAxiom = nt;
         }
     });
-    let tmpAngle = values.turnAngle || '0';
-    let angleEntry = ui.createEntry
-    ({
-        text: tmpAngle.toString(),
-        row: 1,
-        column: 1,
-        horizontalTextAlignment: TextAlignment.END,
-        onTextChanged: (ot, nt) =>
-        {
-            tmpAngle = nt;
-        }
-    });
     let tmpRules = [];
     for(let i = 0; i < values.rules.length; ++i)
         tmpRules[i] = values.rules[i];
@@ -4594,7 +4625,7 @@ let createViewMenu = (title, parentMenu) =>
             ruleStack.children = [...ruleEntries, ...ruleMoveBtns];
         }
     });
-    let tmpIgnore = values.ignoreList;
+    let tmpIgnore = values.ignoreList || '';
     let ignoreEntry = ui.createEntry
     ({
         text: tmpIgnore,
@@ -4606,11 +4637,35 @@ let createViewMenu = (title, parentMenu) =>
             tmpIgnore = nt;
         }
     });
+    let tmpCI = values.ctxIgnoreList || '';
+    let CIEntry = ui.createEntry
+    ({
+        text: tmpCI,
+        row: 1,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpCI = nt;
+        }
+    });
+    let tmpAngle = values.turnAngle || '0';
+    let angleEntry = ui.createEntry
+    ({
+        text: tmpAngle.toString(),
+        row: 2,
+        column: 1,
+        horizontalTextAlignment: TextAlignment.END,
+        onTextChanged: (ot, nt) =>
+        {
+            tmpAngle = nt;
+        }
+    });
     let tmpTropism = values.tropism || '0';
     let tropismEntry = ui.createEntry
     ({
         text: tmpTropism.toString(),
-        row: 2,
+        row: 3,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4621,7 +4676,7 @@ let createViewMenu = (title, parentMenu) =>
     let tmpSeed = values.seed || '0';
     let seedLabel = ui.createGrid
     ({
-        row: 3,
+        row: 4,
         column: 0,
         columnDefinitions: ['40*', '30*'],
         children:
@@ -4649,7 +4704,7 @@ let createViewMenu = (title, parentMenu) =>
     ({
         text: tmpSeed.toString(),
         keyboard: Keyboard.NUMERIC,
-        row: 3,
+        row: 4,
         column: 1,
         horizontalTextAlignment: TextAlignment.END,
         onTextChanged: (ot, nt) =>
@@ -4722,17 +4777,26 @@ let createViewMenu = (title, parentMenu) =>
                                     ignoreEntry,
                                     ui.createLatexLabel
                                     ({
-                                        text: getLoc('labelAngle'),
+                                        text: getLoc('labelCtxIgnored'),
                                         row: 1,
                                         column: 0,
                                         verticalTextAlignment:
                                         TextAlignment.CENTER
                                     }),
+                                    CIEntry,
+                                    ui.createLatexLabel
+                                    ({
+                                        text: getLoc('labelAngle'),
+                                        row: 2,
+                                        column: 0,
+                                        verticalTextAlignment:
+                                        TextAlignment.CENTER
+                                    }),
                                     angleEntry,
                                     ui.createLatexLabel
                                     ({
                                         text: getLoc('labelTropism'),
-                                        row: 2,
+                                        row: 3,
                                         column: 0,
                                         verticalTextAlignment:
                                         TextAlignment.CENTER
@@ -4807,7 +4871,7 @@ let createViewMenu = (title, parentMenu) =>
                             {
                                 Sound.playClick();
                                 renderer.constructSystem = new LSystem(tmpAxiom,
-                                tmpRules, tmpAngle, tmpSeed, tmpIgnore,
+                                tmpRules, tmpAngle, tmpSeed, tmpIgnore, tmpCI,
                                 tmpTropism);
                                 tmpSystem = null;
                                 renderer.configureStaticCamera(tmpZE, tmpCX,
@@ -4830,8 +4894,8 @@ let createViewMenu = (title, parentMenu) =>
                                 {
                                     desc: tmpDesc,
                                     system: new LSystem(tmpAxiom, tmpRules,
-                                    tmpAngle, tmpSeed, tmpIgnore, tmpTropism).
-                                    object,
+                                    tmpAngle, tmpSeed, tmpIgnore, tmpCI,
+                                    tmpTropism).object,
                                     config: [tmpZE, tmpCX, tmpCY, tmpCZ,
                                     tmpUpright]
                                 });
@@ -5654,7 +5718,7 @@ var setInternalState = (stateStr) =>
             tmpSystemDesc = state.system.desc;
             tmpSystem = new LSystem(state.system.axiom, state.system.rules,
             state.system.turnAngle, state.system.seed, state.system.ignoreList,
-            state.system.tropism);
+            state.system.ctxIgnoreList, state.system.tropism);
         }
         
         if('renderer' in state)

From 829f3d393e33b325fde1526e96394f8e498448ac Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 1 Mar 2023 00:30:55 +0700
Subject: [PATCH 69/94] Fixed crash if there's no children

---
 parametric.js | 12 ++++++++----
 1 file changed, 8 insertions(+), 4 deletions(-)

diff --git a/parametric.js b/parametric.js
index 9527313..a042c54 100644
--- a/parametric.js
+++ b/parametric.js
@@ -1095,12 +1095,16 @@ class LSystem
                     let right = -1;
                     if(tmpRules[j].right)
                     {
-                        for(let k = 0; k < children[i].length; ++k)
+                        if(children[i])
                         {
-                            if(tmpRules[j].right == sequence[children[i][k]])
+                            for(let k = 0; k < children[i].length; ++k)
                             {
-                                right = children[i][k];
-                                break;
+                                if(tmpRules[j].right == sequence[children[i][
+                                k]])
+                                {
+                                    right = children[i][k];
+                                    break;
+                                }
                             }
                         }
                         if(right == -1)

From c58dc723467151fe8c42509a1083669bd314a978 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Wed, 1 Mar 2023 01:09:51 +0700
Subject: [PATCH 70/94] Added 2 new ctx systems to manual

---
 parametric.js | 61 ++++++++++++++++++++++++++++++++++++++++++++++++---
 1 file changed, 58 insertions(+), 3 deletions(-)

diff --git a/parametric.js b/parametric.js
index a042c54..d89c4b4 100644
--- a/parametric.js
+++ b/parametric.js
@@ -316,7 +316,7 @@ Note 2: The list of context-ignored symbols can be configured in the ` +
 `letter 🅱, starts from the 🅱ase of the tree and travels to the to🅿️.
 
 Axiom: B[+AAA]A[-AA]A[+A]A
-B < A = B
+B<A = B
 B = A
 Context-ignored: +-
 Turning angle: 30°
@@ -324,6 +324,33 @@ Turning angle: 30°
 Applies static camera:
 Scale: 4
 Centre: (0, 2, 0)
+Upright`
+            },
+            {
+                title: 'Example: Cellular botanica',
+                contents:
+`A cellular automaton that has been transformed into a tree. Originally ` +
+`studied in 1974 by Hogeweg and Hesper, this is one of the 3584 patterns ` +
+`generated in the study using symbols 0 and 1.
+
+Axiom: F1F1F1
+0<0>0 = 0
+0<0>1 = 1[-F1F1]
+0<1>0 = 1
+0<1>1 = 1
+1<0>0 = 0
+1<0>1 = 1F1
+1<1>0 = 1
+1<1>1 = 0
++ = -
+- = +
+Turtle-ignored: 01
+Context-ignored: F+-
+Turning angle: 22.5°
+
+Applies static camera:
+Scale: lv+2
+Centre: (0, lv/2+1, 0)
 Upright`
             }
         ]
@@ -712,6 +739,8 @@ class LSystem
      * @param {string} turnAngle the turning angle (in degrees).
      * @param {number} seed the seed used for stochastic systems.
      * @param {string} ignoreList a list of symbols to be ignored by the turtle.
+     * @param {string} ctxIgnoreList a list of symbols ignored when deriving
+     * context.
      * @param {string} tropism the tropism factor.
      * @param {object} variables NOT IMPLEMENTED
      */
@@ -2966,8 +2995,34 @@ const zUpQuat = new Quaternion(0, 0, 0, 1);
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
 let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');
 let globalRNG = new Xorshift(Date.now());
-let contentsTable = [0];
-let manualSystems = {};
+let contentsTable = [0, 1, 2];
+let manualSystems =
+{
+    3:
+    {
+        system: new LSystem('B[+AAA]A[-AA]A[+A]A', [
+            'B<A=B',
+            'B=A'
+        ], 30, 0, '', '+-'),
+        config: [4, 0, 2, 0, true]
+    },
+    4:
+    {
+        system: new LSystem('F1F1F1', [
+            '0<0>0=0',
+            '0<0>1=1[-F1F1]',
+            '0<1>0=1',
+            '0<1>1=1',
+            '1<0>0=0',
+            '1<0>1=1F1',
+            '1<1>0=1',
+            '1<1>1=0',
+            '+=-',
+            '-=+'
+        ], 22.5, 0, '01', 'F+-'),
+        config: ['lv+2', 0, 'lv/2+1', 0, true]
+    }
+};
 let tmpSystem = null;
 let tmpSystemName = getLoc('welcomeSystemName');
 let tmpSystemDesc = getLoc('welcomeSystemDesc');

From 27cc9b2d02cf022e8a26378842f0ed5947d851d1 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 2 Mar 2023 00:12:14 +0700
Subject: [PATCH 71/94] Fixed precision error with system angles

---
 README.md     |  29 +++--
 TODO.md       |   4 +-
 classic.js    |  11 +-
 parametric.js | 300 +++++++++++++++++++++++++++++++++++++++++++++++---
 4 files changed, 309 insertions(+), 35 deletions(-)

diff --git a/README.md b/README.md
index c68b673..7bb75fd 100644
--- a/README.md
+++ b/README.md
@@ -2,9 +2,25 @@
 
 L-systems renderer in Exponential Idle.
 
+## Installation
+
+Two editions of LSR are available. The Classic edition of LSR is lighter in
+terms of processing, but does not support parametric or context-sensitive
+syntax.
+
+- [Classic](./classic.js)
+- [Parametric](./parametric.js)
+
+Navigate to the edition you want to download, click on the link, then click on
+`Raw`. You will be delivered to the theory's raw code. Copy the page's URL.
+
+Then, access the custom theory panel within the game (unlocked after finishing
+T9, the last theory) then enter the picking menu. Press the `+` symbol and
+paste the URL in.
+
 ## Features
 
-Supported L-system features:
+- Parametric, context-sensitive (2L) systems
 - Stochastic (randomised) rules
 - 3D turtle controls
 - Polygon modelling
@@ -20,17 +36,6 @@ Be sure to back it up to another save before updating, and in case it's
 corrupted, please contact me. From now on, there's also an option to export the
 internal state in the theory menu, so please back it up.
 
-## Installation
-
-Current version: 0.21.1
-
-Navigate to [`renderer.js`](./renderer.js) and click on `Raw`. You will be
-delivered to this theory's raw code. Copy the page's URL.
-
-Then, access the custom theory panel within the game (unlocked after finishing
-T9, the last theory) then enter the picking menu. Press the `+` symbol and
-paste the URL in.
-
 ## Screenshots
 
 ![ss1](screenshots/33.jpg "Lilac branch")
diff --git a/TODO.md b/TODO.md
index ef20adb..dfc4e61 100644
--- a/TODO.md
+++ b/TODO.md
@@ -22,7 +22,6 @@
   - [ ] Option to use old tropisme
   - [ ] Tropism direction
     - Maybe can have 4 arguments
-- [x] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
 - [ ] Compress internal state? LZW, LZP
   - [ ] Or just separate into multiple lines, with an add button
 
@@ -49,6 +48,9 @@
 
 ## 1.0: Completed
 
+- [x] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
+- [x] Fix precision problem with BigNumber and/or Quaternions
+  - Source of error: missing a conversion of BN -> Number in LS constructor
 - [x] Turning angles (and tropism)
   - Formula expressions allow shenanigans such as `360/7`, mostly
   - [ ] Button to change mode between degrees and radians?
diff --git a/classic.js b/classic.js
index 299be87..da04ff7 100644
--- a/classic.js
+++ b/classic.js
@@ -49,7 +49,7 @@ var getDescription = (language) =>
     let descs =
     {
         en:
-`An educational tool that allows you to model plants and other fractal figures.
+`An educational tool that allows you to model fractals figures and plants.
 
 Supported L-system features:
 - Stochastic (randomised) rules
@@ -264,7 +264,7 @@ const locStrings =
         menuManual: 'User Guide ({0}/{1})',
         menuTOC: 'Table of Contents',
         labelSource: 'Source: ',
-        manualSystemDesc: 'User guide, page {0}.',
+        manualSystemDesc: 'From the user guide, page {0}.',
         manual:
         [
             {
@@ -1468,8 +1468,8 @@ class LSystem
         /**
          * @type {number} half the turning angle (in radians) for use in quats.
          */
-        this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate() *
-        Math.PI / 360;
+        this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate().
+        toNumber() * Math.PI / 360;
         /**
          * @type {Map<string, Quaternion>} a map of rotation quaternions for
          * quicker calculations.
@@ -1486,7 +1486,8 @@ class LSystem
         /**
          * @type {number} the tropism factor.
          */
-        this.tropism = MathExpression.parse(tropism.toString()).evaluate();
+        this.tropism = MathExpression.parse(tropism.toString()).evaluate().
+        toNumber();
     }
 
     /**
diff --git a/parametric.js b/parametric.js
index d89c4b4..ff50e0b 100644
--- a/parametric.js
+++ b/parametric.js
@@ -34,7 +34,7 @@ var getDescription = (language) =>
     let descs =
     {
         en:
-`An educational tool that allows you to model plants, mostly.
+`An educational tool that allows you to model plants and fractal figures.
 
 Supported L-system features:
 - Parametric, context-sensitive (2L) systems
@@ -45,7 +45,10 @@ Supported L-system features:
 Other features:
 - Can save a whole army of systems!
 - Camera modes: static and turtle-following
-- Drawing speed and advanced stroke options!`,
+- Drawing speed and advanced stroke options!
+
+Note: Systems from LSR can be ported to P-LSR with minimal changes. However,` +
+`the opposite is rarely true.`,
     };
 
     return descs[language] || descs.en;
@@ -64,6 +67,7 @@ let tickDelayMode = false;
 let resetLvlOnConstruct = true;
 let measurePerformance = false;
 let debugCamPath = false;
+let normaliseQuaternions = false;
 let maxCharsPerTick = 1250;
 let menuLang = Localization.language;
 
@@ -253,7 +257,7 @@ const locStrings =
         menuManual: 'User Guide ({0}/{1})',
         menuTOC: 'Table of Contents',
         labelSource: 'Source: ',
-        manualSystemDesc: 'User guide, page {0}.',
+        manualSystemDesc: 'From the user guide, page {0}.',
         manual:
         [
             {
@@ -303,17 +307,18 @@ The symbol will only derive according to this rule if its ancestor bears the ` +
 `same symbol as {left}, and one of its children bears the same symbol as ` +
 `{right}.
 
-Note: LSR uses a context-sensitive 2L-system, where the 2 means that a ` +
-`context is determined by two symbols: an ancestor and a child.
+Note: P-LSR uses a context-sensitive variant called 2L-systems, where the 2 ` +
+`means that a context is determined by two symbols: an ancestor and a child. ` +
+`Another variant, 1L-systems, only determines a context in one direction.
 
 Note 2: The list of context-ignored symbols can be configured in the ` + 
-`L-system menu.`
+`L-system menu. These symbols will be left out of the ancestree computation.`
             },
             {
                 title: 'Example: Signal propagation',
                 contents:
 `A simple signal sent by the concurrent youth. The signal, denoted by the ` +
-`letter 🅱, starts from the 🅱ase of the tree and travels to the to🅿️.
+`letter B, starts from the 🅱ase of the tree and travels to the to🅿️.
 
 Axiom: B[+AAA]A[-AA]A[+A]A
 B<A = B
@@ -352,6 +357,48 @@ Applies static camera:
 Scale: lv+2
 Centre: (0, lv/2+1, 0)
 Upright`
+            },
+            {
+                title: 'Parametric L-systems: A primer',
+                contents:
+`With many of the systems we have encountered until now, we know that their ` +
+`size can grow quickly, even exponentially. One segment of a tree branch ` +
+`could be sixteen Fs long, and its trunk 128 metres. As a result, the ` +
+`L-system very quickly loses its readability. Another consequence, is that ` +
+`we may not express any length precisely using only integers.
+Then, a solution to that would be the ability to embed extra information ` +
+`onto each symbol, perhaps to lengthen a segment to the desired ratio, or ` +
+`turn around by a specific angle. And thus, Lindenmayer proposed the idea of ` +
+`parametric L-systems.
+
+F(d): moves turtle forward by a distance d, and draw a line.
+(Note: other letters don't follow this syntax, and always move by 1.)
++-&^\\/(a): rotate turtle by an angle of a degrees.
+T(g): applies a tropism force of g.`
+            },
+            {
+                title: 'Example: The Koch curve',
+                contents:
+`The Koch curve belongs to a family of self-similar fractals generated by ` +
+`the iterated function systems (IFS) method. An IFS can construct a fractal ` +
+`by recursively applying affine transformations (translation, rotation, ` +
+`scaling) to an initial figure, or... axiom! Many IFSs can be reconstructed ` +
+`using parametric L-systems.
+
+Axiom: F(1)
+F(d) = F(d/3)+F(d/3)--F(d/3)+F(d/3)
+Turning angle: 60°
+
+Applies static camera:
+Scale: 1
+Centre: (1/2, sqrt(3)/8, 0)`
+            },
+            {
+                title: 'Parametric L-systems',
+                contents:
+`Beyond geometric applications, parametric L-systems allow individual ` +
+`symbols to hold additional information such as its state of growth, elapsed ` +
+`time, `
             }
         ]
     }
@@ -513,7 +560,12 @@ class Quaternion
         this.j * quat.r + this.k * quat.i;
         let t3 = this.r * quat.k + this.i * quat.j -
         this.j * quat.i + this.k * quat.r;
-        return new Quaternion(t0, t1, t2, t3);
+
+        let result = new Quaternion(t0, t1, t2, t3);
+        if(normaliseQuaternions)
+            return result.normalise;
+        else
+            return result;
     }
     /**
      * Rotates the quaternion by some degrees.
@@ -552,7 +604,7 @@ class Quaternion
             default:
                 return this;
         }
-        return rotation.mul(this).normalise;
+        return rotation.mul(this);
     }
     /**
      * Computes the negation of a quaternion. The negation also acts as the
@@ -638,7 +690,7 @@ class Quaternion
             rotAxis.x / s,
             rotAxis.y / s,
             rotAxis.z / s
-        )).normalise;
+        ));
     }
     /**
      * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
@@ -686,7 +738,7 @@ class Quaternion
             rotAxis.x * s,
             rotAxis.y * s,
             rotAxis.z * s
-        )).normalise;
+        ));
     }
     /**
      * https://gamedev.stackexchange.com/questions/198977/how-to-solve-for-the-angle-of-a-axis-angle-rotation-that-gets-me-closest-to-a-sp/199027#199027
@@ -715,7 +767,7 @@ class Quaternion
         ) / 2;
         let s = Math.sin(a);
         let c = Math.cos(a);
-        return new Quaternion(-c, s, 0, 0).mul(this).normalise;
+        return new Quaternion(-c, s, 0, 0).mul(this);
     }
     /**
      * Returns the quaternion's string representation.
@@ -937,8 +989,8 @@ class LSystem
         this.ctxIgnoreList = new Set(ctxIgnoreList);
 
         this.RNG = new Xorshift(seed);
-        this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate() *
-        Math.PI / 360;
+        this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate().
+        toNumber() * Math.PI / 360;
         
         this.rotations = new Map();
         let s = Math.sin(this.halfAngle);
@@ -950,7 +1002,8 @@ class LSystem
         this.rotations.set('\\', new Quaternion(-c, s, 0, 0));
         this.rotations.set('/', new Quaternion(-c, -s, 0, 0));
 
-        this.tropism = MathExpression.parse(tropism.toString()).evaluate();
+        this.tropism = MathExpression.parse(tropism.toString()).evaluate().
+        toNumber();
     }
 
     /**
@@ -2995,7 +3048,7 @@ const zUpQuat = new Quaternion(0, 0, 0, 1);
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
 let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');
 let globalRNG = new Xorshift(Date.now());
-let contentsTable = [0, 1, 2];
+let contentsTable = [0, 1, 2, 5, 7];
 let manualSystems =
 {
     3:
@@ -3021,6 +3074,13 @@ let manualSystems =
             '-=+'
         ], 22.5, 0, '01', 'F+-'),
         config: ['lv+2', 0, 'lv/2+1', 0, true]
+    },
+    6:
+    {
+        system: new LSystem('F(1)', [
+            'F(d)=F(d/3)+F(d/3)--F(d/3)+F(d/3)'
+        ], 60),
+        config: [1, '1/2', 'sqrt(3)/8', 0, false]
     }
 };
 let tmpSystem = null;
@@ -5955,7 +6015,7 @@ var get3DGraphTranslation = () =>
 
 init();
 
-let testSuite = () =>
+let testDerive = () =>
 {
     let a = new LSystem('[+(30)G]F/(180)A(2)', [
         'A(t):t<=5=[+(30)G]F/(180)A(t+2):0.5,[-(30)G]F\\(180)A(t+2):0.4,:0,C:0'
@@ -5989,3 +6049,209 @@ let testSuite = () =>
     let b2p = tmpDeriv.params;
     log(arrow.reconstruct(b2, b2p));
 }
+
+let testQuaternion = () =>
+{
+    // Normalisation = off
+    let a = new Quaternion().rotate(60, '+').rotate(60, '+');
+    let b = new Quaternion().rotate(120, '+');
+    // Round 1 results:
+    // [10:56:40] 60 + 60:
+    // 0.500 + 0.000i + 0.000j + -0.87k
+    // (-0.5, 0.866025403784439, 0)
+    // [10:56:40] 120:
+    // -0.50 + 0.000i + 0.000j + 0.866k
+    // (-0.5, 0.866025403784439, 0)
+    a = a.rotate(60, '+').rotate(60, '+');
+    b = b.rotate(120, '+');
+    // Round 2 results:
+    // [10:58:17] 60 + 60:
+    // -0.50 + 0.000i + 0.000j + -0.87k
+    // (-0.500000000000001, -0.866025403784438, 0)
+    // [10:58:17] 120:
+    // -0.50 + 0.000i + 0.000j + -0.87k
+    // (-0.500000000000001, -0.866025403784438, 0)
+    a = a.rotate(60, '+').rotate(60, '+');
+    b = b.rotate(120, '+');
+    // Round 3 results:
+    // [10:59:03] 60 + 60:
+    // -1.00 + 0.000i + 0.000j + 0.000k
+    // (1, -1.11022302462516E-15, 0)
+    // [10:59:03] 120:
+    // 1.000 + 0.000i + 0.000j + 0.000k
+    // (1, -7.7715611723761E-16, 0)
+    a = a.rotate(60, '+').rotate(60, '+');
+    b = b.rotate(120, '+');
+    // Round 4 results:
+    // [11:00:54] 60 + 60:
+    // -0.50 + 0.000i + 0.000j + 0.866k
+    // (-0.499999999999999, 0.866025403784439, 0)
+    // [11:00:54] 120:
+    // -0.50 + 0.000i + 0.000j + 0.866k
+    // (-0.499999999999999, 0.866025403784439, 0)
+    a = a.rotate(60, '+').rotate(60, '+');
+    b = b.rotate(120, '+');
+    // Round 5 results:
+    // [11:01:45] 60 + 60:
+    // 0.500 + 0.000i + 0.000j + 0.866k
+    // (-0.500000000000002, -0.866025403784438, 0)
+    // [11:01:45] 120:
+    // -0.50 + 0.000i + 0.000j + -0.87k
+    // (-0.500000000000001, -0.866025403784438, 0)
+    a = a.rotate(60, '+').rotate(60, '+');
+    b = b.rotate(120, '+');
+    // Round 6 results:
+    // [11:02:19] 60 + 60:
+    // 1.000 + 0.000i + 0.000j + 0.000k
+    // (1, -2.22044604925031E-15, 0)
+    // [11:02:19] 120:
+    // 1.000 + 0.000i + 0.000j + 0.000k
+    // (1, -1.77635683940025E-15, 0)
+
+    log(`60 + 60:\n${a.toString()}\n${a.headingVector.toString()}`);
+    log(`120:\n${b.toString()}\n${b.headingVector.toString()}`);
+}
+
+let testQuaternion2 = () =>
+{
+    // Normalisation = off
+    let a = new Quaternion().rotate(60, '+').rotate(60, '+').rotate(120, '-');
+    // Round 1 results:
+    // [11:05:41] 60 + 60 - 120:
+    // -1.00 + 0.000i + 0.000j + 0.000k
+    // (1, -1.11022302462516E-16, 0)
+    a = a.rotate(60, '+').rotate(60, '+').rotate(120, '-');
+    // Round 2 results:
+    // [11:07:00] 60 + 60 - 120:
+    // 1.000 + 0.000i + 0.000j + 0.000k
+    // (1, -1.11022302462516E-16, 0)
+    a = a.rotate(60, '+').rotate(60, '+').rotate(120, '-');
+    // Round 3 results:
+    // [11:07:31] 60 + 60 - 120:
+    // -1.00 + 0.000i + 0.000j + 0.000k
+    // (1, -1.11022302462516E-16, 0)
+    log(`60 + 60 - 120:\n${a.toString()}\n${a.headingVector.toString()}`);
+    // Results are exact same if replaced with BigNumber.from(120).toNumber().
+}
+
+let testQuaternion3 = () =>
+{
+    // Normalisation = off
+    let a = new Quaternion().rotate(60, '+').rotate(120, '-').rotate(60, '+');
+    for(let i = 0; i < 1000; ++i)
+        a = a.rotate(60, '+').rotate(120, '-').rotate(60, '+');
+
+    // [11:12:20] 60 - 120 + 60:
+    // -1.00 + 0.000i + 0.000j + 0.000k
+    // (1, -2.22044604925031E-16, 0)
+    log(`60 - 120 + 60:\n${a.toString()}\n${a.headingVector.toString()}`);
+}
+
+let testVector = () =>
+{
+    // Normalisation = off
+    let state = new Vector3(0, 0, 0);
+    let ori = new Quaternion();
+    for(let i = 0; i < 180; ++i)
+    {
+        state += ori.headingVector;
+        ori = ori.rotate(120, '+');
+        state += ori.headingVector;
+        ori = ori.rotate(120, '-');
+        state += ori.headingVector;
+        ori = ori.rotate(120, '-');
+        state += ori.headingVector;
+        ori = ori.rotate(120, '+');
+        state += ori.headingVector;
+        ori = ori.rotate(120, '+');
+        state += ori.headingVector;
+        state += ori.headingVector;
+        ori = ori.rotate(120, '+');
+        state += ori.headingVector;
+        state += ori.headingVector;
+        ori = ori.rotate(120, '+');
+        if(i % 10 == 9)
+            log(`Error ${i}: ${state.x} ${state.y}`);
+    }
+    // [11:30:13] Error 9: -8.881784197001252e-16 6.8833827526759706e-15
+    // [11:30:14] Error 19: -1.7763568394002505e-15 1.2656542480726785e-14
+    // [11:30:14] Error 29: 1.7763568394002505e-15 1.887379141862766e-14
+    // [11:30:14] Error 39: 3.9968028886505635e-15 2.55351295663786e-14
+    // [11:30:14] Error 49: 4.884981308350689e-15 3.2862601528904634e-14
+    // [11:30:14] Error 59: 7.327471962526033e-15 3.907985046680551e-14
+    // [11:30:14] Error 69: 8.881784197001252e-15 4.707345624410664e-14
+    // [11:30:14] Error 79: 1.199040866595169e-14 5.484501741648273e-14
+    // [11:30:14] Error 89: 1.3322676295501878e-14 6.150635556423367e-14
+    // [11:30:14] Error 99: 1.4654943925052066e-14 6.816769371198461e-14
+    // [11:30:14] Error 109: 1.6431300764452317e-14 7.527312106958561e-14
+    // [11:30:14] Error 119: 1.8207657603852567e-14 8.193445921733655e-14
+    // [11:30:14] Error 129: 1.9539925233402755e-14 8.948397578478762e-14
+    // [11:30:14] Error 139: 2.2648549702353193e-14 9.614531393253856e-14
+    // [11:30:14] Error 149: 2.3092638912203256e-14 1.0347278589506459e-13
+    // [11:30:14] Error 159: 2.531308496145357e-14 1.1013412404281553e-13
+    // [11:30:14] Error 169: 2.708944180085382e-14 1.1723955140041653e-13
+    // [11:30:14] Error 179: 2.9753977059954195e-14 1.2523315717771766e-13
+}
+
+let testVector2 = () =>
+{
+    let state = new Vector3(0, 0, 0);
+    let ori = new Quaternion();
+
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+    ori = ori.rotate(120, '+');
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+    ori = ori.rotate(120, '-');
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+    ori = ori.rotate(120, '-');
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+    ori = ori.rotate(120, '+');
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+    ori = ori.rotate(120, '+');
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+    ori = ori.rotate(120, '+');
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+    state += ori.headingVector;
+    log(`${state.x} ${state.y}`);
+
+    // [11:39:17] 1 0
+    // [11:39:17] 0.5000000000000002 0.8660254037844388
+    // [11:39:17] 1.5000000000000002 0.8660254037844388
+    // [11:39:17] 1.0000000000000004 0
+    // [11:39:17] 2.0000000000000004 0
+    // [11:39:17] 1.5000000000000007 0.8660254037844388
+    // [11:39:17] 1.0000000000000009 1.7320508075688776
+    // [11:39:17] 0.5000000000000003 0.8660254037844392
+    // [11:39:17] -2.220446049250313e-16 6.661338147750939e-16
+
+    // Renderer results:
+    // [11:40:39] 1 0
+    // [11:40:39] 0.4951538954001423 0.8632093666488738
+    // [11:40:39] 1.4951538954001427 0.8632093666488738
+    // [11:40:40] 0.9903077908002847 -3.3306690738754696e-16
+    // [11:40:40] 1.9903077908002853 -4.440892098500626e-16
+    // [11:40:40] 1.4854616862004275 0.8632093666488738
+    // [11:40:40] 0.9806155816005697 1.726418733297748
+    // [11:40:40] 0.4903547602598699 0.8548429608841593
+    // [11:40:40] 0.00009393891917008901 -0.016732811529429403
+
+    // Rotation half-angle: 120 -> 1.0471975511965976
+    // System half-angle: 120 -> 1.05
+}
+
+let testAngle = () =>
+{
+    let straightNum = 120;
+    let bigNumConvert = BigNumber.from('120').toNumber();
+    let expressionResult = MathExpression.parse('120').evaluate().toNumber();
+    log(`${straightNum} vs. ${bigNumConvert} vs. ${expressionResult}`);
+}

From 17b759073b9597a3c9fa506cf04dbde22689b717 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 2 Mar 2023 00:18:28 +0700
Subject: [PATCH 72/94] Updated Koch example to include -(120)

---
 parametric.js | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

diff --git a/parametric.js b/parametric.js
index ff50e0b..1afe336 100644
--- a/parametric.js
+++ b/parametric.js
@@ -386,12 +386,12 @@ T(g): applies a tropism force of g.`
 `using parametric L-systems.
 
 Axiom: F(1)
-F(d) = F(d/3)+F(d/3)--F(d/3)+F(d/3)
+F(d) = F(d/3)+F(d/3)-(120)F(d/3)+F(d/3)
 Turning angle: 60°
 
 Applies static camera:
-Scale: 1
-Centre: (1/2, sqrt(3)/8, 0)`
+Scale: 1/2
+Centre: (1/2, sqrt(3)/12, 0)`
             },
             {
                 title: 'Parametric L-systems',
@@ -3078,9 +3078,9 @@ let manualSystems =
     6:
     {
         system: new LSystem('F(1)', [
-            'F(d)=F(d/3)+F(d/3)--F(d/3)+F(d/3)'
+            'F(d)=F(d/3)+F(d/3)-(120)F(d/3)+F(d/3)'
         ], 60),
-        config: [1, '1/2', 'sqrt(3)/8', 0, false]
+        config: ['1/2', '1/2', 'sqrt(3)/12', 0, false]
     }
 };
 let tmpSystem = null;

From 8dd4deadce8ddd77cbc1e5990498f4958419bdc8 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 2 Mar 2023 01:30:52 +0700
Subject: [PATCH 73/94] Added page about Param 2LS

---
 parametric.js | 28 ++++++++++++++++++++++++----
 1 file changed, 24 insertions(+), 4 deletions(-)

diff --git a/parametric.js b/parametric.js
index 1afe336..045394e 100644
--- a/parametric.js
+++ b/parametric.js
@@ -382,8 +382,8 @@ T(g): applies a tropism force of g.`
 `The Koch curve belongs to a family of self-similar fractals generated by ` +
 `the iterated function systems (IFS) method. An IFS can construct a fractal ` +
 `by recursively applying affine transformations (translation, rotation, ` +
-`scaling) to an initial figure, or... axiom! Many IFSs can be reconstructed ` +
-`using parametric L-systems.
+`scaling) to an initial figure... an axiom! Many IFSs can be reconstructed ` +
+`using parametric L-systems, as long as only lines are involved.
 
 Axiom: F(1)
 F(d) = F(d/3)+F(d/3)-(120)F(d/3)+F(d/3)
@@ -394,11 +394,31 @@ Scale: 1/2
 Centre: (1/2, sqrt(3)/12, 0)`
             },
             {
-                title: 'Parametric L-systems',
+                title: 'Parametric 2L-systems',
                 contents:
 `Beyond geometric applications, parametric L-systems allow individual ` +
 `symbols to hold additional information such as its state of growth, elapsed ` +
-`time, `
+`time, etc. They can be even peeked at in context rules!
+The syntax for a parametric rule goes as follows:
+{symbol}({param_0},...) : {condition*} = {derivation_0} : {probability**},...
+
+Examples:
+I(t) : t>0 = FI(t-1)
+A(t) : t>5 = B(t+1)CD(t^0.5, t-2)
+Example including context:
+A(x) < B(y) > C(z) : x+y+z>10 = E((x+y)/2)F((y+z)/2)
+
+Note: All arithmetic processing in parameters is done using the game's ` +
+`MathExpression class (just like the formulae for Auto-prestige/supremacy).
+As such, there are several unavailable expressions:
+% (modulus)
+== (equality)
+true, false (keywords)
+a ? b : c (conditional ternary)
+Conversion from boolean to number is also unavailable.
+
+* When omitted, the condition is assumed to be always true.
+** When omitted, the chance is assumed to be 100%.`
             }
         ]
     }

From efbf46db9888b59375762d65df68ae568ff54d02 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 2 Mar 2023 15:33:56 +0700
Subject: [PATCH 74/94] Implemented variables

---
 TODO.md       |  16 ++--
 parametric.js | 230 ++++++++++++++++++++++++++++++++++++++++++++++----
 2 files changed, 223 insertions(+), 23 deletions(-)

diff --git a/TODO.md b/TODO.md
index dfc4e61..5ee07dc 100644
--- a/TODO.md
+++ b/TODO.md
@@ -18,19 +18,22 @@
 - [ ] Localisation
 - [ ] Folders for saved systems
 - [ ] Ask Gilles about changing the spline used in 3D graph
-- Too much hassle to implement, defer them to LG:
+- Too much hassle to implement, defer them to LG?
   - [ ] Option to use old tropisme
   - [ ] Tropism direction
     - Maybe can have 4 arguments
+
+## 1.0, Mistletoe ed.
+
 - [ ] Compress internal state? LZW, LZP
   - [ ] Or just separate into multiple lines, with an add button
 
-## 1.0, Mistletoe ed.
+## 1.0: Completed
 
-- [ ] Parametric systems
+- [x] Parametric systems
   - [x] Input context-ignored symbols
-  - [ ] New option in constructor for MathExpression variables
-    - [ ] Button in LS menu next to axiom entry
+  - [x] New option in constructor for MathExpression variables
+    - [x] Button in LS menu next to axiom entry
   - Different classes
     - Button in LS menu / save menu to switch modes?
     - Theory settings?
@@ -45,9 +48,6 @@
   - Round brackets gonna make it hard for actual drawing - although maybe it
   would've been already stripped down by the time it gets to the turtle
   - `~`: Parameters of the following symbol can control model size in rule
-
-## 1.0: Completed
-
 - [x] Split into two versions: Classic Renderer and Paramatric L-systems Rdr
 - [x] Fix precision problem with BigNumber and/or Quaternions
   - Source of error: missing a conversion of BN -> Number in LS constructor
diff --git a/parametric.js b/parametric.js
index 045394e..a426643 100644
--- a/parametric.js
+++ b/parametric.js
@@ -160,6 +160,7 @@ const locStrings =
         btnSave: 'Save',
         btnClear: 'Clear All',
         btnDefault: '* Reset to Defaults',
+        btnVar: 'Variables',
         btnAdd: 'Add',
         btnUp: '▲',
         btnDown: '▼',
@@ -205,6 +206,8 @@ const locStrings =
         labelCtxIgnored: 'Context-ignored: ',
         labelTropism: 'Tropism (gravity): ',
         labelSeed: 'Seed (≠ 0): ',
+        menuVariables: 'Define Variables',
+        labelVars: 'Variables: {0}',
 
         menuRenderer: 'Renderer Menu',
         labelInitScale: '* Initial scale: ',
@@ -814,7 +817,7 @@ class LSystem
      * @param {string} ctxIgnoreList a list of symbols ignored when deriving
      * context.
      * @param {string} tropism the tropism factor.
-     * @param {object} variables NOT IMPLEMENTED
+     * @param {object} variables globally defined variables for the system.
      */
     constructor(axiom = '', rules = [], turnAngle = 0, seed = 0,
     ignoreList = '', ctxIgnoreList = '', tropism = 0, variables = {})
@@ -831,6 +834,13 @@ class LSystem
             tropism: tropism,
             variables: variables
         };
+        // I want to transfer them to a map to deep copy them. LS menu uses
+        // arrays so we're fine on that.
+        this.variables = new Map();
+        for(let key in variables)
+            this.variables.set(key, MathExpression.parse(variables[key]).
+            evaluate());
+
         let axiomMatches = this.parseSequence(axiom.replace(TRIM_SP, ''));
         this.axiom = axiomMatches.result;
         this.axiomParams = axiomMatches.params;
@@ -843,7 +853,8 @@ class LSystem
 
             let params = this.axiomParams[i].split(',');
             for(let j = 0; j < params.length; ++j)
-                params[j] = MathExpression.parse(params[j]).evaluate();
+                params[j] = MathExpression.parse(params[j]).evaluate(
+                (v) => this.variables.get(v));
             this.axiomParams[i] = params;
             // Maybe leave them at BigNumber?
         }
@@ -1009,7 +1020,8 @@ class LSystem
         this.ctxIgnoreList = new Set(ctxIgnoreList);
 
         this.RNG = new Xorshift(seed);
-        this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate().
+        this.halfAngle = MathExpression.parse(turnAngle.toString()).evaluate(
+        (v) => this.variables.get(v)).
         toNumber() * Math.PI / 360;
         
         this.rotations = new Map();
@@ -1022,7 +1034,8 @@ class LSystem
         this.rotations.set('\\', new Quaternion(-c, s, 0, 0));
         this.rotations.set('/', new Quaternion(-c, -s, 0, 0));
 
-        this.tropism = MathExpression.parse(tropism.toString()).evaluate().
+        this.tropism = MathExpression.parse(tropism.toString()).evaluate(
+        (v) => this.variables.get(v)).
         toNumber();
     }
 
@@ -1213,8 +1226,9 @@ class LSystem
                             continue;
                     }
 
-                    let tmpParamMap = (v) => tmpRules[j].paramMap(v,
-                    seqParams[ancestors[i]], seqParams[i], seqParams[right]);
+                    let tmpParamMap = (v) => this.variables.get(v) ||
+                    tmpRules[j].paramMap(v, seqParams[ancestors[i]],
+                    seqParams[i], seqParams[right]);
                     // Next up is the condition
                     if(!tmpRules[j].condition.evaluate(tmpParamMap))
                         continue;
@@ -1340,8 +1354,8 @@ class LSystem
             let ruleChoice = -1;
             for(let j = 0; j < tmpRules.length; ++j)
             {
-                let tmpParamMap = (v) => tmpRules[j].paramMap(v,
-                null, null, params);
+                let tmpParamMap = (v) => this.variables.get(v) ||
+                tmpRules[j].paramMap(v, null, null, params);
                 // Next up is the condition
                 if(!tmpRules[j].condition.evaluate(tmpParamMap))
                     continue;
@@ -3944,6 +3958,159 @@ let createConfigMenu = () =>
     return menu;
 }
 
+let createVariableMenu = (variables) =>
+{
+    // Q: Does Object.entries mean that its contents are references, and 
+    // therefore overwritable from afar?
+    let tmpVars = [];
+    let varEntries = [];
+    for(let i = 0; i < variables.length; ++i)
+    {
+        // I'm just making sure these are deep copied
+        tmpVars[i] = [];
+        tmpVars[i][0] = variables[i][0];
+        tmpVars[i][1] = variables[i][1];
+
+        varEntries.push(ui.createEntry
+        ({
+            row: i,
+            column: 0,
+            text: tmpVars[i][0],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+            onTextChanged: (ot, nt) =>
+            {
+                tmpVars[i][0] = nt;
+            }
+        }));
+        varEntries.push(ui.createLatexLabel
+        ({
+            text: '=',
+            row: i,
+            column: 1,
+            horizontalTextAlignment: TextAlignment.CENTER,
+            verticalTextAlignment: TextAlignment.CENTER
+        }));
+        varEntries.push(ui.createEntry
+        ({
+            row: i,
+            column: 2,
+            text: tmpVars[i][1],
+            horizontalTextAlignment: TextAlignment.END,
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+            onTextChanged: (ot, nt) =>
+            {
+                tmpVars[i][1] = nt;
+            }
+        }));
+    }
+    let varsLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelVars'), tmpVars.length),
+        verticalTextAlignment: TextAlignment.CENTER,
+        margin: new Thickness(0, 12)
+    });
+    let varStack = ui.createGrid
+    ({
+        columnDefinitions: ['50*', '20*', '30*'],
+        children: varEntries
+    });
+    let addVarButton = ui.createButton
+    ({
+        text: getLoc('btnAdd'),
+        row: 0,
+        column: 1,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let i = tmpVars.length;
+
+            tmpVars[i] = [];
+            tmpVars[i][0] = '';
+            tmpVars[i][1] = '';
+
+            varEntries.push(ui.createEntry
+            ({
+                row: i,
+                column: 0,
+                text: tmpVars[i][0],
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpVars[i][0] = nt;
+                }
+            }));
+            varEntries.push(ui.createLatexLabel
+            ({
+                text: '=',
+                row: i,
+                column: 1,
+                horizontalTextAlignment: TextAlignment.CENTER,
+                verticalTextAlignment: TextAlignment.CENTER
+            }));
+            varEntries.push(ui.createEntry
+            ({
+                row: i,
+                column: 2,
+                text: tmpVars[i][1],
+                horizontalTextAlignment: TextAlignment.END,
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpVars[i][1] = nt;
+                }
+            }));
+            varsLabel.text = Localization.format(getLoc('labelVars'),
+            tmpVars.length);
+            varStack.children = varEntries;
+        }
+    });
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuVariables'),
+        isPeekable: true,
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createGrid
+                ({
+                    columnDefinitions: ['70*', '30*'],
+                    children:
+                    [
+                        varsLabel,
+                        addVarButton
+                    ]
+                }),
+                ui.createScrollView
+                ({
+                    content: varStack
+                }),
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createButton
+                ({
+                    text: getLoc('btnSave'),
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        // This will telepathically clear the variables outside
+                        variables.length = 0;
+                        for(let i = 0; i < tmpVars.length; ++i)
+                            if(tmpVars[i][0] && tmpVars[i][1])
+                                variables.push(tmpVars[i]);
+                        menu.hide();
+                    }
+                }),
+            ]
+        })
+    });
+    return menu;
+}
+
 let createSystemMenu = () =>
 {
     let values = renderer.system.object;
@@ -3959,6 +4126,20 @@ let createSystemMenu = () =>
             tmpAxiom = nt;
         }
     });
+    let tmpVars = Object.entries(values.variables);
+    let varButton = ui.createButton
+    ({
+        text: getLoc('btnVar'),
+        row: 0,
+        column: 2,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let varMenu = createVariableMenu(tmpVars);
+            varMenu.show();
+        }
+    });
     let tmpRules = values.rules;
     let ruleEntries = [];
     let ruleMoveBtns = [];
@@ -4151,7 +4332,7 @@ let createSystemMenu = () =>
                         [
                             ui.createGrid
                             ({
-                                columnDefinitions: ['20*', '80*'],
+                                columnDefinitions: ['20*', '50*', '30*'],
                                 children:
                                 [
                                     ui.createLatexLabel
@@ -4163,6 +4344,7 @@ let createSystemMenu = () =>
                                         TextAlignment.CENTER
                                     }),
                                     axiomEntry,
+                                    varButton
                                 ]
                             }),
                             ui.createGrid
@@ -4244,7 +4426,7 @@ let createSystemMenu = () =>
                                 Sound.playClick();
                                 renderer.constructSystem = new LSystem(tmpAxiom,
                                 tmpRules, tmpAngle, tmpSeed, tmpIgnore, tmpCI,
-                                tmpTropism);
+                                tmpTropism, Object.fromEntries(tmpVars));
                                 if(tmpSystem)
                                 {
                                     tmpSystem = null;
@@ -4265,6 +4447,7 @@ let createSystemMenu = () =>
                                 let values = new LSystem().object;
                                 axiomEntry.text = values.axiom;
                                 angleEntry.text = values.turnAngle.toString();
+                                tmpVars = Object.entries(values.variables);
                                 tmpRules = values.rules;
                                 ruleEntries = [];
                                 rulesLabel.text = Localization.format(
@@ -4280,7 +4463,7 @@ let createSystemMenu = () =>
                 })
             ]
         })
-    })
+    });
     return menu;
 }
 
@@ -4674,6 +4857,20 @@ let createViewMenu = (title, parentMenu) =>
             tmpAxiom = nt;
         }
     });
+    let tmpVars = Object.entries(values.variables);
+    let varButton = ui.createButton
+    ({
+        text: getLoc('btnVar'),
+        row: 0,
+        column: 2,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let varMenu = createVariableMenu(tmpVars);
+            varMenu.show();
+        }
+    });
     let tmpRules = [];
     for(let i = 0; i < values.rules.length; ++i)
         tmpRules[i] = values.rules[i];
@@ -4876,7 +5073,7 @@ let createViewMenu = (title, parentMenu) =>
                             }),
                             ui.createGrid
                             ({
-                                columnDefinitions: ['20*', '80*'],
+                                columnDefinitions: ['20*', '50*', '30*'],
                                 children:
                                 [
                                     ui.createLatexLabel
@@ -4888,6 +5085,7 @@ let createViewMenu = (title, parentMenu) =>
                                         TextAlignment.CENTER
                                     }),
                                     axiomEntry,
+                                    varButton
                                 ]
                             }),
                             ui.createGrid
@@ -5011,7 +5209,7 @@ let createViewMenu = (title, parentMenu) =>
                                 Sound.playClick();
                                 renderer.constructSystem = new LSystem(tmpAxiom,
                                 tmpRules, tmpAngle, tmpSeed, tmpIgnore, tmpCI,
-                                tmpTropism);
+                                tmpTropism, Object.fromEntries(tmpVars));
                                 tmpSystem = null;
                                 renderer.configureStaticCamera(tmpZE, tmpCX,
                                 tmpCY, tmpCZ, tmpUpright);
@@ -5034,7 +5232,8 @@ let createViewMenu = (title, parentMenu) =>
                                     desc: tmpDesc,
                                     system: new LSystem(tmpAxiom, tmpRules,
                                     tmpAngle, tmpSeed, tmpIgnore, tmpCI,
-                                    tmpTropism).object,
+                                    tmpTropism, Object.fromEntries(tmpVars)).
+                                    object,
                                     config: [tmpZE, tmpCX, tmpCY, tmpCZ,
                                     tmpUpright]
                                 });
@@ -5857,7 +6056,8 @@ var setInternalState = (stateStr) =>
             tmpSystemDesc = state.system.desc;
             tmpSystem = new LSystem(state.system.axiom, state.system.rules,
             state.system.turnAngle, state.system.seed, state.system.ignoreList,
-            state.system.ctxIgnoreList, state.system.tropism);
+            state.system.ctxIgnoreList, state.system.tropism,
+            state.system.variables);
         }
         
         if('renderer' in state)

From 1d6536da3ca74b71e15659bce37fc1696b7fd207 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 2 Mar 2023 16:38:48 +0700
Subject: [PATCH 75/94] Added clipboard separation

---
 TODO.md       |   5 +-
 classic.js    | 230 +++++++++++++++++++++++++++++++++---------------
 parametric.js | 239 ++++++++++++++++++++++++++++++++++----------------
 3 files changed, 328 insertions(+), 146 deletions(-)

diff --git a/TODO.md b/TODO.md
index 5ee07dc..2efaac2 100644
--- a/TODO.md
+++ b/TODO.md
@@ -25,11 +25,12 @@
 
 ## 1.0, Mistletoe ed.
 
-- [ ] Compress internal state? LZW, LZP
-  - [ ] Or just separate into multiple lines, with an add button
+- [ ] Complete new manual
 
 ## 1.0: Completed
 
+- [ ] Compress internal state? LZW, LZP
+  - [x] Or just separate into multiple lines, with an add button
 - [x] Parametric systems
   - [x] Input context-ignored symbols
   - [x] New option in constructor for MathExpression variables
diff --git a/classic.js b/classic.js
index da04ff7..805a222 100644
--- a/classic.js
+++ b/classic.js
@@ -4542,24 +4542,61 @@ let createNamingMenu = () =>
 
 let createSystemClipboardMenu = (values) =>
 {
-    let tmpSys = values;
-    let sysEntry = ui.createEntry
+    let totalLength = 0;
+    let tmpSys = [];
+    let sysEntries = [];
+    for(let i = 0; i * ENTRY_CHAR_LIMIT < values.length; ++i)
+    {
+        tmpSys.push(values.slice(i * ENTRY_CHAR_LIMIT, (i + 1) *
+        ENTRY_CHAR_LIMIT));
+        sysEntries.push(ui.createEntry
+        ({
+            text: tmpSys[i],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+            onTextChanged: (ot, nt) =>
+            {
+                tmpSys[i] = nt;
+                totalLength += (nt ? nt.length : 0) - (ot ? ot.length : 0);
+                lengthLabel.text = Localization.format(getLoc(
+                'labelTotalLength'), totalLength);
+            }
+        }));
+    }
+    let lengthLabel = ui.createLatexLabel
     ({
-        text: tmpSys,
-        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
-        onTextChanged: (ot, nt) =>
-        {
-            tmpSys = nt;
-            warningEntry.isVisible = sysEntry.text.length >= ENTRY_CHAR_LIMIT;
-        }
+        text: Localization.format(getLoc('labelTotalLength'), totalLength),
+        verticalTextAlignment: TextAlignment.CENTER,
+        margin: new Thickness(0, 12)
     });
-    let warningEntry = ui.createLatexLabel
+    let entryStack = ui.createStackLayout
     ({
-        isVisible: sysEntry.text.length >= ENTRY_CHAR_LIMIT,
-        text: Localization.format(getLoc('labelEntryCharLimit'),
-        ENTRY_CHAR_LIMIT),
-        margin: new Thickness(0, 0, 0, 4),
-        verticalTextAlignment: TextAlignment.CENTER
+        children: sysEntries
+    });
+    let addEntryButton = ui.createButton
+    ({
+        text: getLoc('btnAdd'),
+        row: 0,
+        column: 1,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let i = sysEntries.length;
+            tmpSys[i] = '';
+            sysEntries.push(ui.createEntry
+            ({
+                text: tmpSys[i],
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpSys[i] = nt;
+                    totalLength += (nt ? nt.length : 0) - (ot ? ot.length : 0);
+                    lengthLabel.text = Localization.format(getLoc(
+                    'labelTotalLength'), totalLength);
+                }
+            }));
+            entryStack.children = sysEntries;
+        }
     });
 
     let menu = ui.createPopup
@@ -4569,20 +4606,28 @@ let createSystemClipboardMenu = (values) =>
         ({
             children:
             [
-                sysEntry,
+                ui.createGrid
+                ({
+                    columnDefinitions: ['70*', '30*'],
+                    children:
+                    [
+                        lengthLabel,
+                        addEntryButton
+                    ]
+                }),
+                entryStack,
                 ui.createBox
                 ({
                     heightRequest: 1,
                     margin: new Thickness(0, 6)
                 }),
-                warningEntry,
                 ui.createButton
                 ({
                     text: getLoc('btnConstruct'),
                     onClicked: () =>
                     {
                         Sound.playClick();
-                        let sv = JSON.parse(tmpSys);
+                        let sv = JSON.parse(tmpSys.join(''));
                         tmpSystemName = sv.title;
                         tmpSystemDesc = sv.desc;
                         renderer.constructSystem = new LSystem(sv.system.axiom,
@@ -4601,58 +4646,6 @@ let createSystemClipboardMenu = (values) =>
     return menu;
 }
 
-let createStateClipboardMenu = (values) =>
-{
-    let tmpState = values;
-    let sysEntry = ui.createEntry
-    ({
-        text: tmpState,
-        // clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
-        onTextChanged: (ot, nt) =>
-        {
-            tmpState = nt;
-            warningEntry.isVisible = sysEntry.text.length >= ENTRY_CHAR_LIMIT;
-        }
-    });
-    let warningEntry = ui.createLatexLabel
-    ({
-        isVisible: sysEntry.text.length >= ENTRY_CHAR_LIMIT,
-        text: Localization.format(getLoc('labelEntryCharLimit'),
-        ENTRY_CHAR_LIMIT),
-        margin: new Thickness(0, 0, 0, 4),
-        verticalTextAlignment: TextAlignment.CENTER
-    });
-
-    let menu = ui.createPopup
-    ({
-        title: getLoc('menuClipboard'),
-        content: ui.createStackLayout
-        ({
-            children:
-            [
-                sysEntry,
-                ui.createBox
-                ({
-                    heightRequest: 1,
-                    margin: new Thickness(0, 6)
-                }),
-                warningEntry,
-                ui.createButton
-                ({
-                    text: getLoc('btnImport'),
-                    onClicked: () =>
-                    {
-                        Sound.playClick();
-                        setInternalState(tmpState);
-                        menu.hide();
-                    }
-                })
-            ]
-        })
-    });
-    return menu;
-}
-
 let createViewMenu = (title, parentMenu) =>
 {
     let systemObj = savedSystems.get(title);
@@ -5631,6 +5624,103 @@ let createSequenceMenu = () =>
     return menu;
 }
 
+let createStateClipboardMenu = (values) =>
+{
+    let totalLength = 0;
+    let tmpState = [];
+    let stateEntries = [];
+    for(let i = 0; i * ENTRY_CHAR_LIMIT < values.length; ++i)
+    {
+        tmpState.push(values.slice(i * ENTRY_CHAR_LIMIT, (i + 1) *
+        ENTRY_CHAR_LIMIT));
+        stateEntries.push(ui.createEntry
+        ({
+            text: tmpState[i],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+            onTextChanged: (ot, nt) =>
+            {
+                tmpState[i] = nt;
+                totalLength += (nt ? nt.length : 0) - (ot ? ot.length : 0);
+                lengthLabel.text = Localization.format(getLoc(
+                'labelTotalLength'), totalLength);
+            }
+        }));
+    }
+    let lengthLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelTotalLength'), totalLength),
+        verticalTextAlignment: TextAlignment.CENTER,
+        margin: new Thickness(0, 12)
+    });
+    let entryStack = ui.createStackLayout
+    ({
+        children: stateEntries
+    });
+    let addEntryButton = ui.createButton
+    ({
+        text: getLoc('btnAdd'),
+        row: 0,
+        column: 1,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let i = stateEntries.length;
+            tmpState[i] = '';
+            stateEntries.push(ui.createEntry
+            ({
+                text: tmpState[i],
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpState[i] = nt;
+                    totalLength += (nt ? nt.length : 0) - (ot ? ot.length : 0);
+                    lengthLabel.text = Localization.format(getLoc(
+                    'labelTotalLength'), totalLength);
+                }
+            }));
+            entryStack.children = stateEntries;
+        }
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuClipboard'),
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createGrid
+                ({
+                    columnDefinitions: ['70*', '30*'],
+                    children:
+                    [
+                        lengthLabel,
+                        addEntryButton
+                    ]
+                }),
+                entryStack,
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createButton
+                ({
+                    text: getLoc('btnImport'),
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        setInternalState(tmpState.join(''));
+                        menu.hide();
+                    }
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
 let createWorldMenu = () =>
 {
     let tmpOD = offlineReset;
diff --git a/parametric.js b/parametric.js
index a426643..11ec8d1 100644
--- a/parametric.js
+++ b/parametric.js
@@ -237,6 +237,7 @@ const locStrings =
         labelApplyCamera: 'Applies static camera: ',
 
         menuClipboard: 'Clipboard Menu',
+        labelTotalLength: 'Total length: {0}',
         labelEntryCharLimit: `Warning: This entry has been capped at {0} ` +
         `characters. Proceed with caution.`,
 
@@ -412,8 +413,8 @@ Example including context:
 A(x) < B(y) > C(z) : x+y+z>10 = E((x+y)/2)F((y+z)/2)
 
 Note: All arithmetic processing in parameters is done using the game's ` +
-`MathExpression class (just like the formulae for Auto-prestige/supremacy).
-As such, there are several unavailable expressions:
+`MathExpression class (just like the formulae for Auto-prestige/supremacy). ` +
+`As such, there are several unavailable expressions:
 % (modulus)
 == (equality)
 true, false (keywords)
@@ -4068,7 +4069,6 @@ let createVariableMenu = (variables) =>
     let menu = ui.createPopup
     ({
         title: getLoc('menuVariables'),
-        isPeekable: true,
         content: ui.createStackLayout
         ({
             children:
@@ -4634,24 +4634,61 @@ let createNamingMenu = () =>
 
 let createSystemClipboardMenu = (values) =>
 {
-    let tmpSys = values;
-    let sysEntry = ui.createEntry
+    let totalLength = 0;
+    let tmpSys = [];
+    let sysEntries = [];
+    for(let i = 0; i * ENTRY_CHAR_LIMIT < values.length; ++i)
+    {
+        tmpSys.push(values.slice(i * ENTRY_CHAR_LIMIT, (i + 1) *
+        ENTRY_CHAR_LIMIT));
+        sysEntries.push(ui.createEntry
+        ({
+            text: tmpSys[i],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+            onTextChanged: (ot, nt) =>
+            {
+                tmpSys[i] = nt;
+                totalLength += (nt ? nt.length : 0) - (ot ? ot.length : 0);
+                lengthLabel.text = Localization.format(getLoc(
+                'labelTotalLength'), totalLength);
+            }
+        }));
+    }
+    let lengthLabel = ui.createLatexLabel
     ({
-        text: tmpSys,
-        clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
-        onTextChanged: (ot, nt) =>
-        {
-            tmpSys = nt;
-            warningEntry.isVisible = sysEntry.text.length >= ENTRY_CHAR_LIMIT;
-        }
+        text: Localization.format(getLoc('labelTotalLength'), totalLength),
+        verticalTextAlignment: TextAlignment.CENTER,
+        margin: new Thickness(0, 12)
     });
-    let warningEntry = ui.createLatexLabel
+    let entryStack = ui.createStackLayout
     ({
-        isVisible: sysEntry.text.length >= ENTRY_CHAR_LIMIT,
-        text: Localization.format(getLoc('labelEntryCharLimit'),
-        ENTRY_CHAR_LIMIT),
-        margin: new Thickness(0, 0, 0, 4),
-        verticalTextAlignment: TextAlignment.CENTER
+        children: sysEntries
+    });
+    let addEntryButton = ui.createButton
+    ({
+        text: getLoc('btnAdd'),
+        row: 0,
+        column: 1,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let i = sysEntries.length;
+            tmpSys[i] = '';
+            sysEntries.push(ui.createEntry
+            ({
+                text: tmpSys[i],
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpSys[i] = nt;
+                    totalLength += (nt ? nt.length : 0) - (ot ? ot.length : 0);
+                    lengthLabel.text = Localization.format(getLoc(
+                    'labelTotalLength'), totalLength);
+                }
+            }));
+            entryStack.children = sysEntries;
+        }
     });
 
     let menu = ui.createPopup
@@ -4661,26 +4698,35 @@ let createSystemClipboardMenu = (values) =>
         ({
             children:
             [
-                sysEntry,
+                ui.createGrid
+                ({
+                    columnDefinitions: ['70*', '30*'],
+                    children:
+                    [
+                        lengthLabel,
+                        addEntryButton
+                    ]
+                }),
+                entryStack,
                 ui.createBox
                 ({
                     heightRequest: 1,
                     margin: new Thickness(0, 6)
                 }),
-                warningEntry,
                 ui.createButton
                 ({
                     text: getLoc('btnConstruct'),
                     onClicked: () =>
                     {
                         Sound.playClick();
-                        let sv = JSON.parse(tmpSys);
+                        let sv = JSON.parse(tmpSys.join(''));
                         tmpSystemName = sv.title;
                         tmpSystemDesc = sv.desc;
                         renderer.constructSystem = new LSystem(sv.system.axiom,
                         sv.system.rules, sv.system.turnAngle,
                         sv.system.seed, sv.system.ignoreList,
-                        sv.system.ctxIgnoreList, sv.system.tropism);
+                        sv.system.ctxIgnoreList, sv.system.tropism,
+                        sv.system.variables);
                         tmpSystem = null;
                         if('config' in sv)
                             renderer.configureStaticCamera(...sv.config);
@@ -4693,58 +4739,6 @@ let createSystemClipboardMenu = (values) =>
     return menu;
 }
 
-let createStateClipboardMenu = (values) =>
-{
-    let tmpState = values;
-    let sysEntry = ui.createEntry
-    ({
-        text: tmpState,
-        // clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
-        onTextChanged: (ot, nt) =>
-        {
-            tmpState = nt;
-            warningEntry.isVisible = sysEntry.text.length >= ENTRY_CHAR_LIMIT;
-        }
-    });
-    let warningEntry = ui.createLatexLabel
-    ({
-        isVisible: sysEntry.text.length >= ENTRY_CHAR_LIMIT,
-        text: Localization.format(getLoc('labelEntryCharLimit'),
-        ENTRY_CHAR_LIMIT),
-        margin: new Thickness(0, 0, 0, 4),
-        verticalTextAlignment: TextAlignment.CENTER
-    });
-
-    let menu = ui.createPopup
-    ({
-        title: getLoc('menuClipboard'),
-        content: ui.createStackLayout
-        ({
-            children:
-            [
-                sysEntry,
-                ui.createBox
-                ({
-                    heightRequest: 1,
-                    margin: new Thickness(0, 6)
-                }),
-                warningEntry,
-                ui.createButton
-                ({
-                    text: getLoc('btnImport'),
-                    onClicked: () =>
-                    {
-                        Sound.playClick();
-                        setInternalState(tmpState);
-                        menu.hide();
-                    }
-                })
-            ]
-        })
-    });
-    return menu;
-}
-
 let createViewMenu = (title, parentMenu) =>
 {
     let systemObj = savedSystems.get(title);
@@ -5762,6 +5756,103 @@ let createSequenceMenu = () =>
     return menu;
 }
 
+let createStateClipboardMenu = (values) =>
+{
+    let totalLength = 0;
+    let tmpState = [];
+    let stateEntries = [];
+    for(let i = 0; i * ENTRY_CHAR_LIMIT < values.length; ++i)
+    {
+        tmpState.push(values.slice(i * ENTRY_CHAR_LIMIT, (i + 1) *
+        ENTRY_CHAR_LIMIT));
+        stateEntries.push(ui.createEntry
+        ({
+            text: tmpState[i],
+            clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+            onTextChanged: (ot, nt) =>
+            {
+                tmpState[i] = nt;
+                totalLength += (nt ? nt.length : 0) - (ot ? ot.length : 0);
+                lengthLabel.text = Localization.format(getLoc(
+                'labelTotalLength'), totalLength);
+            }
+        }));
+    }
+    let lengthLabel = ui.createLatexLabel
+    ({
+        text: Localization.format(getLoc('labelTotalLength'), totalLength),
+        verticalTextAlignment: TextAlignment.CENTER,
+        margin: new Thickness(0, 12)
+    });
+    let entryStack = ui.createStackLayout
+    ({
+        children: stateEntries
+    });
+    let addEntryButton = ui.createButton
+    ({
+        text: getLoc('btnAdd'),
+        row: 0,
+        column: 1,
+        heightRequest: SMALL_BUTTON_HEIGHT,
+        onClicked: () =>
+        {
+            Sound.playClick();
+            let i = stateEntries.length;
+            tmpState[i] = '';
+            stateEntries.push(ui.createEntry
+            ({
+                text: tmpState[i],
+                clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
+                onTextChanged: (ot, nt) =>
+                {
+                    tmpState[i] = nt;
+                    totalLength += (nt ? nt.length : 0) - (ot ? ot.length : 0);
+                    lengthLabel.text = Localization.format(getLoc(
+                    'labelTotalLength'), totalLength);
+                }
+            }));
+            entryStack.children = stateEntries;
+        }
+    });
+
+    let menu = ui.createPopup
+    ({
+        title: getLoc('menuClipboard'),
+        content: ui.createStackLayout
+        ({
+            children:
+            [
+                ui.createGrid
+                ({
+                    columnDefinitions: ['70*', '30*'],
+                    children:
+                    [
+                        lengthLabel,
+                        addEntryButton
+                    ]
+                }),
+                entryStack,
+                ui.createBox
+                ({
+                    heightRequest: 1,
+                    margin: new Thickness(0, 6)
+                }),
+                ui.createButton
+                ({
+                    text: getLoc('btnImport'),
+                    onClicked: () =>
+                    {
+                        Sound.playClick();
+                        setInternalState(tmpState.join(''));
+                        menu.hide();
+                    }
+                })
+            ]
+        })
+    });
+    return menu;
+}
+
 let createWorldMenu = () =>
 {
     let tmpOD = offlineReset;

From ab43bc177987d0c6a8df08b9b76411497ad561b3 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 2 Mar 2023 20:52:45 +0700
Subject: [PATCH 76/94] Reworked workload system for ancestree and derive

---
 TODO.md       |   4 +
 parametric.js | 225 +++++++++++++++++++++++++++++++-------------------
 2 files changed, 142 insertions(+), 87 deletions(-)

diff --git a/TODO.md b/TODO.md
index 2efaac2..5487a1f 100644
--- a/TODO.md
+++ b/TODO.md
@@ -26,6 +26,10 @@
 ## 1.0, Mistletoe ed.
 
 - [ ] Complete new manual
+- [x] Split workload for ancestree (AND for derive too if this works well)
+  - [ ] Apply split technique to sequence menu
+  - [ ] And collatz?
+- [ ] Separate update measurer from draw
 
 ## 1.0: Completed
 
diff --git a/parametric.js b/parametric.js
index 11ec8d1..73730f8 100644
--- a/parametric.js
+++ b/parametric.js
@@ -68,7 +68,7 @@ let resetLvlOnConstruct = true;
 let measurePerformance = false;
 let debugCamPath = false;
 let normaliseQuaternions = false;
-let maxCharsPerTick = 1250;
+let maxCharsPerTick = 250;
 let menuLang = Localization.language;
 
 let savedSystems = new Map();
@@ -1095,59 +1095,70 @@ class LSystem
      * @param {string} sequence the sequence.
      * @returns {object}
      */
-    getAncestree(sequence)
+    getAncestree(sequence, task = {})
     {
         // Scanning behaviour should be very similar to renderer drawing.
-        let stack = [];
-        let idxStack = [];
-        let ancestors = [];
-        let children = [];
-        let i;  // Piece of shit Javascript doesn't let me put the let in the
-        // for loop normally.
-        for(i = 0; i < sequence.length; ++i)
+        let tmpStack = task.stack || [];
+        let tmpIdxStack = task.idxStack || [];
+        let tmpAncestors = task.ancestors || [];
+        let tmpChildren = task.children || [];
+        let i = task.next || 0;
+        for(; i < sequence.length; ++i)
         {
+            if(i - task.next > maxCharsPerTick)
+            {
+                return {
+                    next: i,
+                    stack: tmpStack,
+                    idxStack: tmpIdxStack,
+                    ancestors: tmpAncestors,
+                    children: tmpChildren
+                };
+            }
             switch(sequence[i])
             {
                 case ' ':
                     log('Blank space detected.')
                     break;
                 case '[':
-                    idxStack.push(stack.length);
+                    tmpIdxStack.push(tmpStack.length);
                     break;
                 case ']':
-                    if(stack.length == 0)
+                    if(tmpStack.length == 0)
                     {
                         log('You\'ve clearly made a bracket error.');
                         break;
                     }
-                    while(stack.length > idxStack[idxStack.length - 1])     
-                        stack.pop();
+                    while(tmpStack.length > tmpIdxStack[tmpIdxStack.length - 1])
+                        tmpStack.pop();
 
-                    idxStack.pop();
+                    tmpIdxStack.pop();
                     break;
                 default:
                     let ignored = this.ctxIgnoreList.has(sequence[i]);
                     if(ignored)
                         break;
                     
-                    if(stack.length > 0)
+                    if(tmpStack.length > 0)
                     {
-                        let ancIdx = stack[stack.length - 1];
-                        ancestors[i] = ancIdx;
-                        if(typeof children[ancIdx] === 'undefined')
-                            children[ancIdx] = [];
-                        children[ancIdx].push(i);
+                        let ancIdx = tmpStack[tmpStack.length - 1];
+                        tmpAncestors[i] = ancIdx;
+                        if(typeof tmpChildren[ancIdx] === 'undefined')
+                            tmpChildren[ancIdx] = [];
+                        tmpChildren[ancIdx].push(i);
                     }
 
-                    stack.push(i);
+                    tmpStack.push(i);
                     break;
             }
         }
         return {
-            ancestors: ancestors,
-            children: children
+            next: 0,
+            stack: tmpStack,
+            idxStack: tmpIdxStack,
+            ancestors: tmpAncestors,
+            children: tmpChildren
         };
-        // Tested this out on Chrome console, it worked.
     }
 
     /**
@@ -1157,22 +1168,23 @@ class LSystem
      * @param {string} sequence the input string.
      * @returns {{next: number, result: string}}
      */
-    derive(sequence, seqParams, ancestors, children, start = 0)
+    derive(sequence, seqParams, ancestors, children, task = {})
     {
-        let result = '';
-        let resultParams = [];
-        for(let i = start; i < sequence.length; ++i)
+        let result = task.derivation || '';
+        let resultParams = task.parameters || [];
+        let i = task.next || 0;
+        let charCount = 0;
+        for(; i < sequence.length; ++i)
         {
-            if(result.length > maxCharsPerTick)
+            if(charCount > maxCharsPerTick)
             {
                 return {
                     next: i,
-                    result: result,
-                    params: resultParams
+                    charCount: charCount,
+                    derivation: result,
+                    parameters: resultParams
                 };
             }
-            let deriv;
-            let derivParams = null;
             if(sequence[i] == '%')
             {
                 let branchLvl = 0;
@@ -1191,7 +1203,11 @@ class LSystem
                         break;
                 }
                 if(sequence[i] == ']')
-                    deriv = sequence[i];
+                {
+                    result += sequence[i];
+                    ++charCount;
+                    resultParams.push(null);
+                }
                 else
                     continue;
             }
@@ -1236,10 +1252,10 @@ class LSystem
 
                     if(typeof tmpRules[j].derivations === 'string')
                     {
-                        deriv = tmpRules[j].derivations;
+                        result += tmpRules[j].derivations;
+                        charCount += tmpRules[j].derivations.length;
                         if(tmpRules[j].parameters)
                         {
-                            derivParams = [];
                             for(let k = 0; k < tmpRules[j].parameters.length;
                             ++k)
                             {
@@ -1259,7 +1275,7 @@ class LSystem
                                         }
                                     }
                                 }
-                                derivParams.push(derivPi);
+                                resultParams.push(derivPi);
                             }
                         }
                         ruleChoice = j;
@@ -1283,10 +1299,10 @@ class LSystem
                             if(chanceSum > roll)    // select this
                             {
                                 choice = k;
-                                deriv = tmpRules[j].derivations[k];
+                                result += tmpRules[j].derivations[k];
+                                charCount += tmpRules[j].derivations[k].length;
                                 if(tmpRules[j].parameters[k])
                                 {
-                                    derivParams = [];
                                     for(let l = 0; l < tmpRules[j].
                                     parameters[k].length; ++l)
                                     {
@@ -1307,7 +1323,7 @@ class LSystem
                                                 }
                                             }
                                         }
-                                        derivParams.push(derivPi);
+                                        resultParams.push(derivPi);
                                     }
                                 }
                                 break;
@@ -1322,26 +1338,23 @@ class LSystem
                 }
                 if(ruleChoice == -1)
                 {
-                    deriv = sequence[i];
-                    derivParams = [seqParams[i]];
+                    result += sequence[i];
+                    ++charCount;
+                    resultParams.push(...[seqParams[i]]);
                 }
             }
             else
             {
-                deriv = sequence[i];
-                derivParams = [seqParams[i]];
+                result += sequence[i];
+                ++charCount;
+                resultParams.push(...[seqParams[i]]);
             }
-
-            result += deriv;
-            if(derivParams)
-                resultParams.push(...derivParams);
-            else
-                resultParams.push(derivParams);
         }
         return {
             next: 0,
-            result: result,
-            params: resultParams
+            charCount: charCount,
+            derivation: result,
+            parameters: resultParams
         };
     }
 
@@ -1655,9 +1668,6 @@ class Renderer
          */
         this.levels = [];
         this.levelParams = [];
-        // Only stores one level, temporari
-        this.ancestors = null;
-        this.children = null;
         /**
          * @type {number} the current level (updates after buying the variable).
          */
@@ -1709,9 +1719,19 @@ class Renderer
          */
         this.lastCamVel = new Vector3(0, 0, 0);
         /**
-         * @type {number} the next index to update for the current level.
+         * @type {object} the current ancestree task.
+         */
+        this.ancestreeTask =
+        {
+            next: 0
+        };
+        /**
+         * @type {object} the current derivation task.
          */
-        this.nextDeriveIdx = 0;
+        this.deriveTask =
+        {
+            next: 0
+        };
         /**
          * @type {number} how many nested polygons currently in (pls keep at 1).
          */
@@ -1752,44 +1772,57 @@ class Renderer
             if(charCount > maxCharsPerTick)
                 return;
 
-            if(i == 0)
+            if(i == 0 && !('derivation' in this.deriveTask))
             {
-                this.levels[i] = this.system.axiom;
-                this.levelParams[i] = this.system.axiomParams;
-                charCount += this.levels[i].length;
-                this.nextDeriveIdx = 0;
+                this.deriveTask =
+                {
+                    next: 0,
+                    derivation: this.system.axiom,
+                    parameters: this.system.axiomParams
+                };
+                charCount += this.system.axiom.length;
             }
             else
             {
-                if(!this.ancestors)
-                {
-                    let at = this.system.getAncestree(this.levels[i - 1]);
-                    this.ancestors = at.ancestors;
-                    this.children = at.children;
-                    charCount += this.ancestors.length;
-                }
-                let ret = this.system.derive(this.levels[i - 1],
-                this.levelParams[i - 1], this.ancestors, this.children,
-                this.nextDeriveIdx);
-                if(this.nextDeriveIdx == 0)
+                // If no ancestor (next is obviously 0): do work
+                // If no ancestor and next isn't 0: panik
+                // If has ancestor and next is 0: move to derive work
+                // If has ancestor and next isn't 0: do work
+
+                while(!('ancestors' in this.ancestreeTask) ||
+                ('ancestors' in this.ancestreeTask && this.ancestreeTask.next))
                 {
-                    this.levels[i] = ret.result;
-                    this.levelParams[i] = ret.params;
+                    let at = this.system.getAncestree(this.levels[i - 1],
+                    this.ancestreeTask);
+                    charCount += (at.next - this.ancestreeTask.next);
+                    this.ancestreeTask = at;
+                    if(charCount > maxCharsPerTick)
+                        return;
                 }
-                else
+                // TODO: convert derivation to new tasking model
+                if(!('derivation' in this.deriveTask) ||
+                ('derivation' in this.deriveTask && this.deriveTask.next))
                 {
-                    this.levels[i] += ret.result;
-                    this.levelParams[i].push(...ret.params);
+                    let ret = this.system.derive(this.levels[i - 1],
+                    this.levelParams[i - 1], this.ancestreeTask.ancestors,
+                    this.ancestreeTask.children, this.deriveTask);
+                    charCount += ret.charCount;
+                    this.deriveTask = ret;
                 }
-
-                this.nextDeriveIdx = ret.next;
-                charCount += ret.result.length;
             }
-            if(this.nextDeriveIdx == 0)
+            this.levels[i] = this.deriveTask.derivation;
+            this.levelParams[i] = this.deriveTask.parameters;
+            if(!this.deriveTask.next)
             {
                 ++this.loaded;
-                this.ancestors = null;
-                this.children = null;
+                this.ancestreeTask =
+                {
+                    next: 0
+                };
+                this.deriveTask =
+                {
+                    next: 0
+                };
             }
             else
                 return;
@@ -1929,7 +1962,14 @@ class Renderer
         this.system = system;
         this.levels = [];
         this.levelParams = [];
-        this.nextDeriveIdx = 0;
+        this.ancestreeTask =
+        {
+            next: 0
+        };
+        this.deriveTask =
+        {
+            next: 0
+        };
         this.loaded = -1;
         this.loadTarget = 0;
         if(resetLvlOnConstruct)
@@ -1943,7 +1983,14 @@ class Renderer
     set seed(seed)
     {
         this.system.seed = seed;
-        this.nextDeriveIdx = 0;
+        this.ancestreeTask =
+        {
+            next: 0
+        };
+        this.deriveTask =
+        {
+            next: 0
+        };
         this.loaded = -1;
         this.loadTarget = this.lv;
         this.update(this.lv, true);
@@ -3019,7 +3066,11 @@ class Measurer
             this.records[i] = closingStamp - this.lastStamp;
             this.windowSum += this.records[i];
             this.sum += this.records[i];
-            this.max = Math.max(this.max, this.records[i]);
+            if(this.records[i] > this.max)
+            {
+                this.max = this.records[i];
+                // log(`Boom! ${this.title} took ${this.records[i]}ms.`)
+            }
             this.lastStamp = null;
             ++this.ticksPassed;
         }

From 65a201313e3d9eec492f493f459a54d51fb50047 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 2 Mar 2023 23:05:50 +0700
Subject: [PATCH 77/94] Applied workload technique to sequence menu

---
 TODO.md       |  6 ++--
 parametric.js | 85 +++++++++++++++++++++++++++++++++------------------
 2 files changed, 58 insertions(+), 33 deletions(-)

diff --git a/TODO.md b/TODO.md
index 5487a1f..6413c8e 100644
--- a/TODO.md
+++ b/TODO.md
@@ -26,13 +26,11 @@
 ## 1.0, Mistletoe ed.
 
 - [ ] Complete new manual
-- [x] Split workload for ancestree (AND for derive too if this works well)
-  - [ ] Apply split technique to sequence menu
-  - [ ] And collatz?
-- [ ] Separate update measurer from draw
 
 ## 1.0: Completed
 
+- [x] Split workload for ancestree (AND for derive too if this works well)
+  - [x] Apply split technique to sequence menu
 - [ ] Compress internal state? LZW, LZP
   - [x] Or just separate into multiple lines, with an add button
 - [x] Parametric systems
diff --git a/parametric.js b/parametric.js
index 73730f8..0d78f0c 100644
--- a/parametric.js
+++ b/parametric.js
@@ -1102,13 +1102,13 @@ class LSystem
         let tmpIdxStack = task.idxStack || [];
         let tmpAncestors = task.ancestors || [];
         let tmpChildren = task.children || [];
-        let i = task.next || 0;
+        let i = task.start || 0;
         for(; i < sequence.length; ++i)
         {
-            if(i - task.next > maxCharsPerTick)
+            if(i - task.start > maxCharsPerTick)
             {
                 return {
-                    next: i,
+                    start: i,
                     stack: tmpStack,
                     idxStack: tmpIdxStack,
                     ancestors: tmpAncestors,
@@ -1153,7 +1153,7 @@ class LSystem
             }
         }
         return {
-            next: 0,
+            start: 0,
             stack: tmpStack,
             idxStack: tmpIdxStack,
             ancestors: tmpAncestors,
@@ -1166,20 +1166,20 @@ class LSystem
      * position to be derived next tick. `result` contains the work completed
      * for the current tick.
      * @param {string} sequence the input string.
-     * @returns {{next: number, result: string}}
+     * @returns {{start: number, result: string}}
      */
     derive(sequence, seqParams, ancestors, children, task = {})
     {
         let result = task.derivation || '';
         let resultParams = task.parameters || [];
-        let i = task.next || 0;
+        let i = task.start || 0;
         let charCount = 0;
         for(; i < sequence.length; ++i)
         {
             if(charCount > maxCharsPerTick)
             {
                 return {
-                    next: i,
+                    start: i,
                     charCount: charCount,
                     derivation: result,
                     parameters: resultParams
@@ -1351,7 +1351,7 @@ class LSystem
             }
         }
         return {
-            next: 0,
+            start: 0,
             charCount: charCount,
             derivation: result,
             parameters: resultParams
@@ -1471,16 +1471,27 @@ class LSystem
         };
     }
 
-    reconstruct(sequence, params)
+    reconstruct(sequence, params, task = {})
     {
-        let result = '';
-        for(let i = 0; i < sequence.length; ++i)
+        let result = task.result || '';
+        let i = task.start || 0;
+        for(; i < sequence.length; ++i)
         {
+            if((i - task.start) * (task.start + 1) > maxCharsPerTick)
+            {
+                return {
+                    start: i,
+                    result: result
+                }
+            }
             result += sequence[i];
             if(params[i])
                 result += `(${params[i].join(', ')})`;
         }
-        return result;
+        return {
+            start: 0,
+            result: result
+        };
     }
     /**
      * Purge the rules of empty lines.
@@ -1723,14 +1734,14 @@ class Renderer
          */
         this.ancestreeTask =
         {
-            next: 0
+            start: 0
         };
         /**
          * @type {object} the current derivation task.
          */
         this.deriveTask =
         {
-            next: 0
+            start: 0
         };
         /**
          * @type {number} how many nested polygons currently in (pls keep at 1).
@@ -1776,7 +1787,7 @@ class Renderer
             {
                 this.deriveTask =
                 {
-                    next: 0,
+                    start: 0,
                     derivation: this.system.axiom,
                     parameters: this.system.axiomParams
                 };
@@ -1790,18 +1801,18 @@ class Renderer
                 // If has ancestor and next isn't 0: do work
 
                 while(!('ancestors' in this.ancestreeTask) ||
-                ('ancestors' in this.ancestreeTask && this.ancestreeTask.next))
+                ('ancestors' in this.ancestreeTask && this.ancestreeTask.start))
                 {
                     let at = this.system.getAncestree(this.levels[i - 1],
                     this.ancestreeTask);
-                    charCount += (at.next - this.ancestreeTask.next);
+                    charCount += (at.start - this.ancestreeTask.start);
                     this.ancestreeTask = at;
                     if(charCount > maxCharsPerTick)
                         return;
                 }
                 // TODO: convert derivation to new tasking model
                 if(!('derivation' in this.deriveTask) ||
-                ('derivation' in this.deriveTask && this.deriveTask.next))
+                ('derivation' in this.deriveTask && this.deriveTask.start))
                 {
                     let ret = this.system.derive(this.levels[i - 1],
                     this.levelParams[i - 1], this.ancestreeTask.ancestors,
@@ -1812,16 +1823,16 @@ class Renderer
             }
             this.levels[i] = this.deriveTask.derivation;
             this.levelParams[i] = this.deriveTask.parameters;
-            if(!this.deriveTask.next)
+            if(!this.deriveTask.start)
             {
                 ++this.loaded;
                 this.ancestreeTask =
                 {
-                    next: 0
+                    start: 0
                 };
                 this.deriveTask =
                 {
-                    next: 0
+                    start: 0
                 };
             }
             else
@@ -1964,11 +1975,11 @@ class Renderer
         this.levelParams = [];
         this.ancestreeTask =
         {
-            next: 0
+            start: 0
         };
         this.deriveTask =
         {
-            next: 0
+            start: 0
         };
         this.loaded = -1;
         this.loadTarget = 0;
@@ -1985,11 +1996,11 @@ class Renderer
         this.system.seed = seed;
         this.ancestreeTask =
         {
-            next: 0
+            start: 0
         };
         this.deriveTask =
         {
-            next: 0
+            start: 0
         };
         this.loaded = -1;
         this.loadTarget = this.lv;
@@ -5656,6 +5667,21 @@ let createManualMenu = () =>
 
 let createSeqViewMenu = (level) =>
 {
+    let reconstructionTask =
+    {
+        start: 0
+    };
+    let updateReconstruction = () =>
+    {
+        if(!('result' in reconstructionTask) ||
+        ('result' in reconstructionTask && reconstructionTask.start))
+        {
+            reconstructionTask = renderer.system.reconstruct(
+            renderer.levels[level], renderer.levelParams[level],
+            reconstructionTask);
+        }
+        return reconstructionTask.result;
+    }
     let pageTitle = ui.createLatexLabel
     ({
         text: Localization.format(getLoc('labelLevelSeq'), level,
@@ -5669,8 +5695,7 @@ let createSeqViewMenu = (level) =>
     ({
         fontFamily: FontFamily.CMU_REGULAR,
         fontSize: 16,
-        text: renderer.system.reconstruct(renderer.levels[level],
-        renderer.levelParams[level]),
+        text: () => updateReconstruction(),
         lineBreakMode: LineBreakMode.CHARACTER_WRAP
     });
     let prevButton = ui.createButton
@@ -5704,8 +5729,10 @@ let createSeqViewMenu = (level) =>
         level = p;
         pageTitle.text = Localization.format(getLoc('labelLevelSeq'), level,
         renderer.levels[level].length);
-        pageContents.text = renderer.system.reconstruct(renderer.levels[level],
-        renderer.levelParams[level]);
+        reconstructionTask =
+        {
+            start: 0
+        };
 
         prevButton.isVisible = level > 0;
         nextButton.isVisible = level < renderer.levels.length - 1;

From 95b3994b1aae8ca2da00460fb2a13bd744275731 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Thu, 2 Mar 2023 23:42:31 +0700
Subject: [PATCH 78/94] Added separate loading message for ancestree

---
 parametric.js | 14 +++++++++-----
 1 file changed, 9 insertions(+), 5 deletions(-)

diff --git a/parametric.js b/parametric.js
index 0d78f0c..f5f5bc8 100644
--- a/parametric.js
+++ b/parametric.js
@@ -141,7 +141,9 @@ const locStrings =
         equationOverlayLong: '{0} – {1}\n\n{2}\n\n{3}',
         equationOverlay: '{0}\n\n{1}',
 
-        rendererLoading: `\\begin{{matrix}}Loading...&\\text{{Stg. {0}}}&({1}
+        rendererBuildingTree: `\\begin{{matrix}}Building\\enspace ancestree...&
+        \\text{{Stg. {0}}}&({1}\\text{{ chars}})\\end{{matrix}}`,
+        rendererDeriving: `\\begin{{matrix}}Deriving...&\\text{{Stg. {0}}}&({1}
 \\text{{ chars}})\\end{{matrix}}`,
 
         currencyTime: ' (elapsed)',
@@ -196,6 +198,7 @@ const locStrings =
 
         menuSequence: '{0} (Stage {1})',
         labelLevelSeq: 'Stage {0}: {1} chars',
+        labelLevelSeqLoading: 'Stage {0}: {1}/{2} chars',
         labelChars: '({0} chars)',
 
         menuLSystem: 'L-system Menu',
@@ -2675,10 +2678,11 @@ class Renderer
      */
     get loadingString()
     {
-        let len = typeof this.levels[this.loaded + 1] === 'undefined' ? 0 :
-        this.levels[this.loaded + 1].length;
-        return Localization.format(getLoc('rendererLoading'), this.loaded + 1,
-        len);
+        if(typeof this.levels[this.loaded + 1] === 'undefined')
+            return Localization.format(getLoc('rendererBuildingTree'),
+            this.loaded + 1, this.ancestreeTask.start);
+        return Localization.format(getLoc('rendererDeriving'), this.loaded + 1,
+        this.levels[this.loaded + 1].length);
     }
     /**
      * Returns the cursor's position as a string.

From 6c4d1dcc77e11170ec4158950167b97f581fa72b Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Fri, 3 Mar 2023 00:08:09 +0700
Subject: [PATCH 79/94] Fixed Classic crash when clearing all in LS menu

---
 classic.js | 5 +++--
 1 file changed, 3 insertions(+), 2 deletions(-)

diff --git a/classic.js b/classic.js
index 805a222..219f068 100644
--- a/classic.js
+++ b/classic.js
@@ -241,6 +241,7 @@ const locStrings =
         labelApplyCamera: 'Applies static camera: ',
 
         menuClipboard: 'Clipboard Menu',
+        labelTotalLength: 'Total length: {0}',
         labelEntryCharLimit: `Warning: This entry has been capped at {0} ` +
         `characters. Proceed with caution.`,
 
@@ -4356,14 +4357,14 @@ let createSystemMenu = () =>
                                 Sound.playClick();
                                 let values = new LSystem().object;
                                 axiomEntry.text = values.axiom;
-                                angleEntry.text = values.turnAngle;
+                                angleEntry.text = values.turnAngle.toString();
                                 tmpRules = values.rules;
                                 ruleEntries = [];
                                 rulesLabel.text = Localization.format(
                                 getLoc('labelRules'), ruleEntries.length);
                                 ruleStack.children = ruleEntries;
                                 ignoreEntry.text = values.ignoreList;
-                                tropismEntry.text = values.tropism;
+                                tropismEntry.text = values.tropism.toString();
                                 seedEntry.text = values.seed.toString();
                             }
                         })

From 8e03b9b69189a00afc6f1e006f402026a5b843c5 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Fri, 3 Mar 2023 00:48:01 +0700
Subject: [PATCH 80/94] Fixed derivation separation splitting parameters

---
 TODO.md       |  2 ++
 parametric.js | 10 +++++++---
 2 files changed, 9 insertions(+), 3 deletions(-)

diff --git a/TODO.md b/TODO.md
index 6413c8e..1b2ff79 100644
--- a/TODO.md
+++ b/TODO.md
@@ -29,6 +29,8 @@
 
 ## 1.0: Completed
 
+- [x] Issue: multiple parameters not working at all
+  - Cause: splitting commas -> Solution: semi-colons
 - [x] Split workload for ancestree (AND for derive too if this works well)
   - [x] Apply split technique to sequence menu
 - [ ] Compress internal state? LZW, LZP
diff --git a/parametric.js b/parametric.js
index f5f5bc8..3a5b087 100644
--- a/parametric.js
+++ b/parametric.js
@@ -291,7 +291,10 @@ This is different from how it was defined in The Algorithmic Beauty of ` +
 `Plants, where rules with a context are prioritised. Therefore, arrange your ` +
 `rules accordingly.
 
-Declaring models now has a different syntax to align more with ` +
+The syntax for multiple derivations on the same line has also changed from , ` +
+`(comma) to ; (semi-colon), due to the introduction of parameters.
+
+Finally, declaring models now has a different syntax to align more with ` +
 `context-sensitivity:
 ~ > {symbol} = {model}
 Referencing a model in another rule still uses the old syntax:
@@ -407,7 +410,7 @@ Centre: (1/2, sqrt(3)/12, 0)`
 `symbols to hold additional information such as its state of growth, elapsed ` +
 `time, etc. They can be even peeked at in context rules!
 The syntax for a parametric rule goes as follows:
-{symbol}({param_0},...) : {condition*} = {derivation_0} : {probability**},...
+{symbol}({param_0},...) : {condition*} = {derivation_0} : {probability**} ;...
 
 Examples:
 I(t) : t>0 = FI(t-1)
@@ -951,7 +954,8 @@ class LSystem
                 tmpRule.condition = MathExpression.parse('1');
 
             // [i][4]: everything else
-            let tmpRuleMatches = ruleMatches[i][4].split(',');
+            // Doing just comma instead of semi-colon will ruin the parameters!
+            let tmpRuleMatches = ruleMatches[i][4].split(';');
             for(let j = 0; j < tmpRuleMatches.length; ++j)
             {
                 if(typeof tmpRuleMatches[j] === 'undefined')

From 919b704e670c1cd8acff0196ea8d5fd42477f4d1 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Fri, 3 Mar 2023 16:07:41 +0700
Subject: [PATCH 81/94] Added model discussion into manual

---
 classic.js    |  9 ++++++---
 parametric.js | 44 +++++++++++++++++++++++++++++++++++++++++++-
 2 files changed, 49 insertions(+), 4 deletions(-)

diff --git a/classic.js b/classic.js
index 219f068..211ea85 100644
--- a/classic.js
+++ b/classic.js
@@ -143,7 +143,7 @@ const locStrings =
 {
     en:
     {
-        versionName: 'v1.0, Work in Progress',
+        versionName: 'v1.0',
         welcomeSystemName: 'Arrow',
         welcomeSystemDesc: 'Welcome to L-systems Renderer!',
         equationOverlayLong: '{0} – {1}\n\n{2}\n\n{3}',
@@ -698,8 +698,11 @@ To reference a model in another rule, attach a tilde in front of the symbol ` +
 Note: The symbol will not disappear from the rule after the model has been ` +
 `drawn, but it will be ignored by the turtle.
 
-Note 2: The model only lasts for one level, and needs to be refreshed ` + 
-`(example follows in the next page).`
+Note 2: Unlike the incorporated surfaces described in the Algorithmic Beauty ` +
+`of Plants, models in LSR work differently. The model symbol in LSR only ` +
+`lasts for one level (and disappears afterwards), and thus, models need to ` +
+`be continuously refreshed.
+(Example follows in the next page)`
             },
             {
                 title: 'Example: Lilac branch',
diff --git a/parametric.js b/parametric.js
index 3a5b087..64c7e46 100644
--- a/parametric.js
+++ b/parametric.js
@@ -135,7 +135,7 @@ const locStrings =
 {
     en:
     {
-        versionName: 'v1.0, Mistletoe ed. (WIP)',
+        versionName: 'v1.0, Mistletoe ed.',
         welcomeSystemName: 'Arrow',
         welcomeSystemDesc: 'Welcome to L-systems Renderer!',
         equationOverlayLong: '{0} – {1}\n\n{2}\n\n{3}',
@@ -429,6 +429,48 @@ Conversion from boolean to number is also unavailable.
 
 * When omitted, the condition is assumed to be always true.
 ** When omitted, the chance is assumed to be 100%.`
+            },
+            {
+                title: 'Example: ',
+                contents:
+``
+            },
+            {
+                title: 'Appendix: Model discussions',
+                contents:
+`About the differences between LSR models (which disappear after one stage) ` +
+`and The Algorithmic Beauty of Plants (which stick around).
+The motive behind this mechanism in LSR, is that when a symbol moves to ` +
+`another place, the original ~ (tilde) ends up referencing another symbol ` +
+`entirely, which both wastes one space and can introduce errors by drawing ` +
+`the wrong model.
+This design choice is not final, and if feedback can prove its ` +
+`inconvenience, further considerations can be made: should it stick around ` +
+`like defined in Abop? Should references be ditched entirely and models be ` +
+`drawn automatically without having to reference? Will the syntax cease to ` +
+`make sense?`
+            },
+            {
+                title: 'Appendix: Credits',
+                contents:
+`First of all, a biggest thanks goes out to Sir Gilles-Philippe Paillé of ` +
+`Conic Games. Without his work on the game Exponential Idle, the foundation ` +
+`for this theory, perhaps I would have never found myself writing this page ` +
+`today. He, along with the people in the #custom-theories-dev channel, has ` +
+`also helped me with numerous problems of custom theories (CT) development.
+If by any chance you have not yet tried this game, I highly recommend it. ` +
+`The download link is provided at the bottom of this page.`,
+                source: 'https://conicgames.github.io/exponentialidle'
+            },
+            {
+                title: 'Credits (2)',
+                contents:
+`The other massive thanks goes to Algorithmic Botany, the research team that ` +
+`has been expanding Lindenmayer's work on L-systems. The site also hosts the ` +
+`book 'The Algorithmic Beauty of Plants', which has been the primary source ` +
+`of reference in the development of LSR, including the various syntax and ` +
+`processing rules, as well as explanations to the scientific motives behind ` +
+`the design of L-systems. `
             }
         ]
     }

From 719d88c12d4f628c132694276c9f7147a1d03798 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Fri, 3 Mar 2023 16:45:24 +0700
Subject: [PATCH 82/94] Fixed false conditions not working

---
 parametric.js | 6 ++++--
 1 file changed, 4 insertions(+), 2 deletions(-)

diff --git a/parametric.js b/parametric.js
index 64c7e46..faabe7c 100644
--- a/parametric.js
+++ b/parametric.js
@@ -1296,7 +1296,8 @@ class LSystem
                     tmpRules[j].paramMap(v, seqParams[ancestors[i]],
                     seqParams[i], seqParams[right]);
                     // Next up is the condition
-                    if(!tmpRules[j].condition.evaluate(tmpParamMap))
+                    if(tmpRules[j].condition.evaluate(tmpParamMap) ==
+                    BigNumber.ZERO)
                         continue;
 
                     if(typeof tmpRules[j].derivations === 'string')
@@ -1420,7 +1421,8 @@ class LSystem
                 let tmpParamMap = (v) => this.variables.get(v) ||
                 tmpRules[j].paramMap(v, null, null, params);
                 // Next up is the condition
-                if(!tmpRules[j].condition.evaluate(tmpParamMap))
+                if(tmpRules[j].condition.evaluate(tmpParamMap) ==
+                BigNumber.ZERO)
                     continue;
 
                 if(typeof tmpRules[j].derivations === 'string')

From 223ef765f8694ff9a2817c83175849bde2c5b2cd Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Fri, 3 Mar 2023 18:13:29 +0700
Subject: [PATCH 83/94] Added 4-argument tropism

---
 parametric.js | 53 ++++++++++++++++++++++++++++++++++++++-------------
 1 file changed, 40 insertions(+), 13 deletions(-)

diff --git a/parametric.js b/parametric.js
index faabe7c..b461b2a 100644
--- a/parametric.js
+++ b/parametric.js
@@ -382,9 +382,10 @@ Then, a solution to that would be the ability to embed extra information ` +
 `parametric L-systems.
 
 F(d): moves turtle forward by a distance d, and draw a line.
-(Note: other letters don't follow this syntax, and always move by 1.)
+(Note: other letters move by 1 instead of taking the parameter.)
 +-&^\\/(a): rotate turtle by an angle of a degrees.
-T(g): applies a tropism force of g.`
+T(g): applies a tropism force of g.
+T(g, x, y, z): applies a tropism of g in the direction (x, y, z).`
             },
             {
                 title: 'Example: The Koch curve',
@@ -766,7 +767,7 @@ class Quaternion
     }
     /**
      * https://stackoverflow.com/questions/71518531/how-do-i-convert-a-direction-vector-to-a-quaternion
-     * (Deprecated) Applies a gravi-tropism vector to the quaternion. Inaccurat!
+     * (Deprecated) Applies a gravi-tropism vector to the quaternion.
      * @param {number} weight the vector's length (negative for upwards).
      * @returns {Quaternion}
      */
@@ -787,16 +788,23 @@ class Quaternion
     /**
      * Applies a gravi-tropism vector to the quaternion.
      * @param {number} weight the branch's susceptibility to bending.
+     * @param {number} x the tropism vector's x component.
+     * @param {number} y the tropism vector's y component.
+     * @param {number} z the tropism vector's z component.
      * @returns {Quaternion}
      */
-    applyTropism(weight = 0)
+    applyTropism(weight = 0, x = 0, y = -1, z = 0)
     {
         if(weight == 0)
             return this;
 
         // a = e * |HxT| (n)
         let curHead = this.headingVector;
-        let rotAxis = new Vector3(curHead.z, 0, -curHead.x);
+        let rotAxis = new Vector3(
+            curHead.y * z - curHead.z * y,
+            curHead.z * x - curHead.x * z,
+            curHead.x * y - curHead.y * x,
+        );
         let n = rotAxis.length;
         if(n == 0)
             return this;
@@ -2208,11 +2216,20 @@ class Renderer
                             this.ori = this.ori.alignToVertical();
                             break;
                         case 'T':
-                            if(this.modelParams[this.models.length - 1][
-                            this.mdi[this.mdi.length - 1]])
-                                this.ori = this.ori.applyTropism(
-                                this.modelParams[this.models.length - 1][
-                                this.mdi[this.mdi.length - 1]][0].toNumber());
+                            let args = this.modelParams[this.models.length - 1][
+                            this.mdi[this.mdi.length - 1]];
+                            if(args)
+                            {
+                                if(args.length >= 4)
+                                    this.ori = this.ori.applyTropism(
+                                    args[0].toNumber(),
+                                    args[1].toNumber(),
+                                    args[2].toNumber(),
+                                    args[3].toNumber());
+                                else
+                                    this.ori = this.ori.applyTropism(
+                                    args[0].toNumber());
+                            }
                             else
                                 this.ori = this.ori.applyTropism(
                                 this.system.tropism);
@@ -2431,9 +2448,19 @@ class Renderer
                         this.ori = this.ori.alignToVertical();
                         break;
                     case 'T':
-                        if(this.levelParams[this.lv][this.i])
-                            this.ori = this.ori.applyTropism(this.levelParams[
-                            this.lv][this.i][0].toNumber());
+                        let args = this.levelParams[this.lv][this.i];
+                        if(args)
+                        {
+                            if(args.length >= 4)
+                                this.ori = this.ori.applyTropism(
+                                args[0].toNumber(),
+                                args[1].toNumber(),
+                                args[2].toNumber(),
+                                args[3].toNumber());
+                            else
+                                this.ori = this.ori.applyTropism(
+                                args[0].toNumber());
+                        }
                         else
                             this.ori = this.ori.applyTropism(
                             this.system.tropism);

From 1d9ea7105ef7f5fbdd27a4e55d19fd3a83c82040 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Fri, 3 Mar 2023 20:21:22 +0700
Subject: [PATCH 84/94] Fixed crash when model rule is not found

---
 TODO.md       | 4 ++--
 parametric.js | 8 --------
 2 files changed, 2 insertions(+), 10 deletions(-)

diff --git a/TODO.md b/TODO.md
index 1b2ff79..cd21d2b 100644
--- a/TODO.md
+++ b/TODO.md
@@ -20,8 +20,6 @@
 - [ ] Ask Gilles about changing the spline used in 3D graph
 - Too much hassle to implement, defer them to LG?
   - [ ] Option to use old tropisme
-  - [ ] Tropism direction
-    - Maybe can have 4 arguments
 
 ## 1.0, Mistletoe ed.
 
@@ -29,6 +27,8 @@
 
 ## 1.0: Completed
 
+- [x] Tropism direction
+  - Maybe can have 4 arguments
 - [x] Issue: multiple parameters not working at all
   - Cause: splitting commas -> Solution: semi-colons
 - [x] Split workload for ancestree (AND for derive too if this works well)
diff --git a/parametric.js b/parametric.js
index b461b2a..96dbc30 100644
--- a/parametric.js
+++ b/parametric.js
@@ -1423,7 +1423,6 @@ class LSystem
         if(this.models.has(symbol))
         {
             let tmpRules = this.models.get(symbol);
-            let ruleChoice = -1;
             for(let j = 0; j < tmpRules.length; ++j)
             {
                 let tmpParamMap = (v) => this.variables.get(v) ||
@@ -1459,7 +1458,6 @@ class LSystem
                             resultParams.push(derivPi);
                         }
                     }
-                    ruleChoice = j;
                     break;
                 }
                 else    // Stochastic time
@@ -1514,15 +1512,9 @@ class LSystem
                     // log(`roll = ${roll} choice = ${choice}`)
                     if(choice == -1)
                         continue;
-                    ruleChoice = j;
                     break;
                 }
             }
-            if(ruleChoice == -1)
-            {
-                deriv = sequence[i];
-                derivParams = [seqParams[i]];
-            }
         }
         return {
             result: result,

From 894be161cf74fc80fccbb32f8bbd68ff0d5082f1 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Fri, 3 Mar 2023 21:40:32 +0700
Subject: [PATCH 85/94] Added stamp stick example to manual

---
 parametric.js | 50 ++++++++++++++++++++++++++++++++++++++++++++++++--
 1 file changed, 48 insertions(+), 2 deletions(-)

diff --git a/parametric.js b/parametric.js
index 96dbc30..83ca458 100644
--- a/parametric.js
+++ b/parametric.js
@@ -432,9 +432,37 @@ Conversion from boolean to number is also unavailable.
 ** When omitted, the chance is assumed to be 100%.`
             },
             {
-                title: 'Example: ',
+                title: 'Example: Stamp stick',
                 contents:
-``
+`Adopted from an L-system made in Houdini. The symbol J represents 4 organs ` +
+`at the same time, with the 'type' parameter controlling which model to load:
+type <= 0: leaves,
+type <= 1: flower bud,
+type <= 2: blooming flower,
+type <= 3: closed flower,
+and the 's' parameter controlling the model's size.
+
+Variables: b = 2.25
+The variable b controls how quickly the model type switches
+
+Axiom: FA(1)
+A(t) = F(b/2.5)//[+(24)&B(t)]//[&B(t)]//[&B(t)]A(t+1)
+B(t) = ~J(0.15, t/b-2)
+J(s, type) = ~J(s*0.75+0.25, type)
+~>J(s, type): type<=0 = {[+(32)F(s).-TF(s)TF.-TF(s)..][-(32)F(s)+(16)[TF(s)TF.].]}
+~>J(s, type): type<=1 = [F~p(s)/(60)~p(s)/(60)~p(s)]
+~>p(s) = {[+F(s/2).--F(s/2).][-F(s/2).].}
+~>J(s, type): type<=2 = [F~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)]
+~>k(s) = {[F(s).+(72)[&F(s-0.3).][F(s)..][^F(s-0.3).].]}
+~>J(s, type): type<=3 = [F~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)]
+~>m(s) = {[+(24)F(s).-F(s/2)..].}
+Turning angle: 48°
+Tropism: 0.16
+
+Applies static camera:
+Scale: 7
+Centre: (0, lv/2+1, 0)
+Upright`
             },
             {
                 title: 'Appendix: Model discussions',
@@ -3249,6 +3277,24 @@ let manualSystems =
             'F(d)=F(d/3)+F(d/3)-(120)F(d/3)+F(d/3)'
         ], 60),
         config: ['1/2', '1/2', 'sqrt(3)/12', 0, false]
+    },
+    8:
+    {
+        system: new LSystem('FA(1)', [
+            'A(t) = F(b/2.5)//[+(24)&B(t)]//[&B(t)]//[&B(t)]A(t+1)',
+            'B(t) = ~J(0.15, t/b-2)',
+            'J(s, type) = ~J(s*0.75+0.25, type)',
+            '~>J(s, type): type<=0 = {[+(32)F(s).-TF(s)TF.-TF(s)..][-(32)F(s)+(16)[TF(s)TF.].]}',
+            '~>J(s, type): type<=1 = [F~p(s)/(60)~p(s)/(60)~p(s)]',
+            '~>p(s) = {[+F(s/2).--F(s/2).][-F(s/2).].}',
+            '~>J(s, type): type<=2 = [F~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)]',
+            '~>k(s) = {[F(s).+(72)[&F(s-0.3).][F(s)..][^F(s-0.3).].]}',
+            '~>J(s, type): type<=3 = [F~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)]',
+            '~>m(s) = {[+(24)F(s).-F(s/2)..].}'
+        ], '48', 0, '', '', 0.16, {
+            'b':'2.25'
+        }),
+        'config': ['7', '0', 'lv/2+1', '0', true]
     }
 };
 let tmpSystem = null;

From e4dd4128efae43752a2a1c8757e5d8fa2bc28b67 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sat, 4 Mar 2023 00:43:48 +0700
Subject: [PATCH 86/94] Adjusted stamp stick example to cap at type 3

---
 classic.js    |  4 ++--
 parametric.js | 36 ++++++++++++++++++++----------------
 2 files changed, 22 insertions(+), 18 deletions(-)

diff --git a/classic.js b/classic.js
index 211ea85..21e436c 100644
--- a/classic.js
+++ b/classic.js
@@ -67,8 +67,8 @@ Warning: v0.20 might break your internal state. Be sure to back it up, and ` +
 
     return descs[language] || descs.en;
 }
-var authors =   'propfeds#5988\n\nThanks to:\nSir Gilles-Philippe Paillé, ' +
-                'for providing help with quaternions\nskyhigh173#3120, for ' +
+var authors =   'propfeds\n\nThanks to:\nSir Gilles-Philippe Paillé, for ' +
+                'providing help with quaternions\nskyhigh173#3120, for ' +
                 'suggesting clipboard and JSON internal state formatting';
 var version = 1;
 
diff --git a/parametric.js b/parametric.js
index 83ca458..ff2a984 100644
--- a/parametric.js
+++ b/parametric.js
@@ -53,8 +53,8 @@ Note: Systems from LSR can be ported to P-LSR with minimal changes. However,` +
 
     return descs[language] || descs.en;
 }
-var authors =   'propfeds#5988\n\nThanks to:\nSir Gilles-Philippe Paillé, ' +
-                'for providing help with quaternions\nskyhigh173#3120, for ' +
+var authors =   'propfeds\n\nThanks to:\nSir Gilles-Philippe Paillé, for ' +
+                'providing help with quaternions\nskyhigh173#3120, for ' +
                 'suggesting clipboard and JSON internal state formatting';
 var version = 0;
 
@@ -263,7 +263,7 @@ const locStrings =
 
         menuManual: 'User Guide ({0}/{1})',
         menuTOC: 'Table of Contents',
-        labelSource: 'Source: ',
+        labelSource: 'Reference: ',
         manualSystemDesc: 'From the user guide, page {0}.',
         manual:
         [
@@ -443,26 +443,29 @@ type <= 3: closed flower,
 and the 's' parameter controlling the model's size.
 
 Variables: b = 2.25
-The variable b controls how quickly the model type switches
+The variable b controls how quickly the model type switches, with lower ` +
+`values being faster. A lower value also decreases the organ density.
 
 Axiom: FA(1)
-A(t) = F(b/2.5)//[+(24)&B(t)]//[&B(t)]//[&B(t)]A(t+1)
+A(t): t<=5*b = F(2/b)//[+(24)&B(t)]//[&B(t)]//[&B(t)]A(t+1)
 B(t) = ~J(0.15, t/b-2)
 J(s, type) = ~J(s*0.75+0.25, type)
 ~>J(s, type): type<=0 = {[+(32)F(s).-TF(s)TF.-TF(s)..][-(32)F(s)+(16)[TF(s)TF.].]}
 ~>J(s, type): type<=1 = [F~p(s)/(60)~p(s)/(60)~p(s)]
 ~>p(s) = {[+F(s/2).--F(s/2).][-F(s/2).].}
-~>J(s, type): type<=2 = [F~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)]
+~>J(s, type): type<=2 = [FT~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)]
 ~>k(s) = {[F(s).+(72)[&F(s-0.3).][F(s)..][^F(s-0.3).].]}
-~>J(s, type): type<=3 = [F~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)]
+~>J(s, type): type<=3 = [FT~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)]
 ~>m(s) = {[+(24)F(s).-F(s/2)..].}
+Turtle-ignored: A
 Turning angle: 48°
 Tropism: 0.16
 
 Applies static camera:
 Scale: 7
 Centre: (0, lv/2+1, 0)
-Upright`
+Upright`,
+                source: 'https://www.houdinikitchen.net/2019/12/21/how-to-create-l-systems/'
             },
             {
                 title: 'Appendix: Model discussions',
@@ -499,7 +502,8 @@ If by any chance you have not yet tried this game, I highly recommend it. ` +
 `book 'The Algorithmic Beauty of Plants', which has been the primary source ` +
 `of reference in the development of LSR, including the various syntax and ` +
 `processing rules, as well as explanations to the scientific motives behind ` +
-`the design of L-systems. `
+`the design of L-systems.`,
+                source: 'http://algorithmicbotany.org/'
             }
         ]
     }
@@ -3281,18 +3285,18 @@ let manualSystems =
     8:
     {
         system: new LSystem('FA(1)', [
-            'A(t) = F(b/2.5)//[+(24)&B(t)]//[&B(t)]//[&B(t)]A(t+1)',
+            'A(t): t<=5*b = F(2/b)//[+(24)&B(t)]//[&B(t)]//[&B(t)]A(t+1)',
             'B(t) = ~J(0.15, t/b-2)',
             'J(s, type) = ~J(s*0.75+0.25, type)',
             '~>J(s, type): type<=0 = {[+(32)F(s).-TF(s)TF.-TF(s)..][-(32)F(s)+(16)[TF(s)TF.].]}',
             '~>J(s, type): type<=1 = [F~p(s)/(60)~p(s)/(60)~p(s)]',
             '~>p(s) = {[+F(s/2).--F(s/2).][-F(s/2).].}',
-            '~>J(s, type): type<=2 = [F~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)]',
+            '~>J(s, type): type<=2 = [FT~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)/(72)~k(s)]',
             '~>k(s) = {[F(s).+(72)[&F(s-0.3).][F(s)..][^F(s-0.3).].]}',
-            '~>J(s, type): type<=3 = [F~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)]',
+            '~>J(s, type): type<=3 = [FT~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)/(72)~m(s)]',
             '~>m(s) = {[+(24)F(s).-F(s/2)..].}'
-        ], '48', 0, '', '', 0.16, {
-            'b':'2.25'
+        ], '48', 0, 'A', '', 0.16, {
+            'b': '2.25'
         }),
         'config': ['7', '0', 'lv/2+1', '0', true]
     }
@@ -5596,7 +5600,7 @@ let createManualMenu = () =>
     let sourceGrid = ui.createGrid
     ({
         isVisible: 'source' in manualPages[page],
-        columnDefinitions: ['20*', '80*'],
+        columnDefinitions: ['auto', '1*'],
         children:
         [
             ui.createLatexLabel
@@ -5604,7 +5608,7 @@ let createManualMenu = () =>
                 text: getLoc('labelSource'),
                 row: 0,
                 column: 0,
-                horizontalOptions: LayoutOptions.END,
+                horizontalTextAlignment: TextAlignment.START,
                 verticalTextAlignment: TextAlignment.CENTER
             }),
             sourceEntry

From 42bddb403117224cb05529f9f5ed58736ba8e099 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 5 Mar 2023 02:07:50 +0700
Subject: [PATCH 87/94] Welcome to LSR

---
 TODO.md       |  2 ++
 classic.js    | 27 +++++++++++----------------
 parametric.js | 12 +++++++-----
 3 files changed, 20 insertions(+), 21 deletions(-)

diff --git a/TODO.md b/TODO.md
index cd21d2b..ed76c9d 100644
--- a/TODO.md
+++ b/TODO.md
@@ -24,6 +24,8 @@
 ## 1.0, Mistletoe ed.
 
 - [ ] Complete new manual
+- [ ] Make a mistletoe for P-LSR
+  - To prevent lag, probably only create one stage with full models
 
 ## 1.0: Completed
 
diff --git a/classic.js b/classic.js
index 21e436c..d1353bf 100644
--- a/classic.js
+++ b/classic.js
@@ -145,7 +145,7 @@ const locStrings =
     {
         versionName: 'v1.0',
         welcomeSystemName: 'Arrow',
-        welcomeSystemDesc: 'Welcome to L-systems Renderer!',
+        welcomeSystemDesc: 'Welcome to the L-systems Renderer!',
         equationOverlayLong: '{0} – {1}\n\n{2}\n\n{3}',
         equationOverlay: '{0}\n\n{1}',
 
@@ -689,28 +689,23 @@ Upright`
 `remains, as writing the model in a different rule will delay its drawing by ` +
 `one level. With a special kind of rule, we can assign dedicated models to ` +
 `each symbol to be drawn instantly.
-To declare a model rule, attach a tilde in front of the symbol on the left side:
+To declare a model rule, attach a ~ (tilde) in front of the symbol:
 ~{symbol} = {model}
 
-To reference a model in another rule, attach a tilde in front of the symbol ` +
-`in the same way it was declared.
+To reference a model in another rule, attach a tilde in the same way it was ` +
+`declared. The model will be represented as a temporary sequence that cannot ` +
+`evolve, replacing the default action of drawing a straight line.
+The tilde, and subsequently its model, will disappear in the following level.
 
-Note: The symbol will not disappear from the rule after the model has been ` +
-`drawn, but it will be ignored by the turtle.
-
-Note 2: Unlike the incorporated surfaces described in the Algorithmic Beauty ` +
-`of Plants, models in LSR work differently. The model symbol in LSR only ` +
-`lasts for one level (and disappears afterwards), and thus, models need to ` +
-`be continuously refreshed.
-(Example follows in the next page)`
+Note: This is unlike the incorporated surfaces described in the Algorithmic ` +
+`Beauty of Plants, where the tilde does not need to be refreshed.`
             },
             {
                 title: 'Example: Lilac branch',
                 contents:
-`Ripped straight off of page 92 of The Algorithmic Beauty of Plants. But I ` +
-`made the model myself.
-K represents the flower, and its model is refreshed every level with the ` +
-`rule K = ~K.
+`Ripped straight off of page 92 of The Algorithmic Beauty of Plants.
+K represents the flower, and its model has to be refreshed every level with ` +
+`the rule K = ~K.
 
 Axiom: A~K
 A = [--//~K][++//~K]I///A
diff --git a/parametric.js b/parametric.js
index ff2a984..56a0372 100644
--- a/parametric.js
+++ b/parametric.js
@@ -135,9 +135,9 @@ const locStrings =
 {
     en:
     {
-        versionName: 'v1.0, Mistletoe ed.',
-        welcomeSystemName: 'Arrow',
-        welcomeSystemDesc: 'Welcome to L-systems Renderer!',
+        versionName: 'v1.0',
+        welcomeSystemName: 'Mistletoe',
+        welcomeSystemDesc: 'Welcome to the Parametric L-systems Renderer.',
         equationOverlayLong: '{0} – {1}\n\n{2}\n\n{3}',
         equationOverlay: '{0}\n\n{1}',
 
@@ -426,7 +426,9 @@ Note: All arithmetic processing in parameters is done using the game's ` +
 == (equality)
 true, false (keywords)
 a ? b : c (conditional ternary)
-Conversion from boolean to number is also unavailable.
+Conversion (from boolean to number)
+For more information, check the Math Expression manual in the Auto-prestige ` +
+`settings.
 
 * When omitted, the condition is assumed to be always true.
 ** When omitted, the chance is assumed to be 100%.`
@@ -3248,7 +3250,7 @@ const zUpQuat = new Quaternion(0, 0, 0, 1);
 let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
 let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');
 let globalRNG = new Xorshift(Date.now());
-let contentsTable = [0, 1, 2, 5, 7];
+let contentsTable = [0, 1, 2, 5, 7, 9, 10];
 let manualSystems =
 {
     3:

From 9c5b2a57276f88cba55b998a8552e1fbcc8274f7 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 5 Mar 2023 04:32:08 +0700
Subject: [PATCH 88/94] Fixed Xorshift implementation

---
 classic.js    | 59 ++++++++++++++++++++++++++------------------
 parametric.js | 68 +++++++++++++++++++++++++++++++--------------------
 2 files changed, 77 insertions(+), 50 deletions(-)

diff --git a/classic.js b/classic.js
index d1353bf..b622bc9 100644
--- a/classic.js
+++ b/classic.js
@@ -1041,40 +1041,51 @@ class Xorshift
      * @constructor
      * @param {number} seed must be initialized to non-zero.
      */
-    constructor(seed = 1752)
+    constructor(seed = 0)
     {
-        this.state = seed;
-        this.mod = 0x100000000;
-                // 0x ffffffff + 1
+        this.x = seed;
+        this.y = 0;
+        this.z = 0;
+        this.w = 0;
+        for(let i = 0; i < 64; ++i)
+            this.nextInt;
     }
     /**
-     * Returns a random integer within [0, 2^32) probably.
+     * Returns a random integer within [0, 2^31) probably.
      * @returns {number}
      */
     get nextInt()
     {
-        let x = this.state;
-        x ^= x << 13;
-        x ^= x >> 17;
-        x ^= x << 5;
-        this.state = x;
-        return this.state;
+        let t = this.x ^ (this.x << 11);
+        this.x = this.y;
+        this.y = this.z;
+        this.z = this.w;
+        this.w ^= (this.w >> 19) ^ t ^ (t >> 8);
+        return this.w;
     }
     /**
-     * Returns a random floating point number within [0, 1] or [0, 1).
-     * @param {boolean} [includeEnd] (default: false) whether to include the
-     * number 1 in the range.
+     * Returns a random floating point number within [0, 1).
      * @returns {number}
      */
-    nextFloat(includeEnd = false)
+    get nextFloat()
     {
-        let result;
-        if(includeEnd)  // [-1, 1]
-            result = this.nextInt / (this.mod - 1);
-        else            // [-1, 1)
-            result = this.nextInt / this.mod;
-
-        return (result + 1) / 2;
+        return (this.nextInt >>> 0) / ((1 << 30) * 2);
+    }
+    /**
+     * Returns a full random double floating point number using 2 rolls.
+     * @returns {number}
+     */
+    get nextDouble()
+    {
+        let top, bottom, result;
+        do
+        {
+            top = this.nextInt >>> 10;
+            bottom = this.nextFloat;
+            result = (top + bottom) / (1 << 21);
+        }
+        while(result === 0);
+        return result;
     }
     /**
      * Returns a random integer within a range of [start, end).
@@ -1086,7 +1097,7 @@ class Xorshift
     {
         // [start, end)
         let size = end - start;
-        return start + Math.floor(this.nextFloat() * size);
+        return start + Math.floor(this.nextFloat * size);
     }
     /**
      * Returns a random element from an array.
@@ -3315,7 +3326,7 @@ var getEquationOverlay = () =>
     let result = ui.createLatexLabel
     ({
         text: overlayText,
-        margin: new Thickness(5, 4),
+        margin: new Thickness(8, 4),
         fontSize: 9,
         textColor: Color.TEXT_MEDIUM
     });
diff --git a/parametric.js b/parametric.js
index 56a0372..4a0b336 100644
--- a/parametric.js
+++ b/parametric.js
@@ -478,6 +478,11 @@ The motive behind this mechanism in LSR, is that when a symbol moves to ` +
 `another place, the original ~ (tilde) ends up referencing another symbol ` +
 `entirely, which both wastes one space and can introduce errors by drawing ` +
 `the wrong model.
+Another reason is due to the fact that models in LSR consist of regular ` +
+`symbols instead of being created using traditional techniques, but the ` +
+`resulting models are not derivable, perhaps it is a more intuitive choice ` +
+`to let them disappear.
+
 This design choice is not final, and if feedback can prove its ` +
 `inconvenience, further considerations can be made: should it stick around ` +
 `like defined in Abop? Should references be ditched entirely and models be ` +
@@ -546,40 +551,51 @@ class Xorshift
      * @constructor
      * @param {number} seed must be initialized to non-zero.
      */
-    constructor(seed = 1752)
+    constructor(seed = 0)
     {
-        this.state = seed;
-        this.mod = 0x100000000;
-                // 0x ffffffff + 1
+        this.x = seed;
+        this.y = 0;
+        this.z = 0;
+        this.w = 0;
+        for(let i = 0; i < 64; ++i)
+            this.nextInt;
     }
     /**
-     * Returns a random integer within [0, 2^32) probably.
+     * Returns a random integer within [0, 2^31) probably.
      * @returns {number}
      */
     get nextInt()
     {
-        let x = this.state;
-        x ^= x << 13;
-        x ^= x >> 17;
-        x ^= x << 5;
-        this.state = x;
-        return this.state;
+        let t = this.x ^ (this.x << 11);
+        this.x = this.y;
+        this.y = this.z;
+        this.z = this.w;
+        this.w ^= (this.w >> 19) ^ t ^ (t >> 8);
+        return this.w;
     }
     /**
-     * Returns a random floating point number within [0, 1] or [0, 1).
-     * @param {boolean} [includeEnd] (default: false) whether to include the
-     * number 1 in the range.
+     * Returns a random floating point number within [0, 1).
      * @returns {number}
      */
-    nextFloat(includeEnd = false)
+    get nextFloat()
     {
-        let result;
-        if(includeEnd)  // [-1, 1]
-            result = this.nextInt / (this.mod - 1);
-        else            // [-1, 1)
-            result = this.nextInt / this.mod;
-
-        return (result + 1) / 2;
+        return (this.nextInt >>> 0) / ((1 << 30) * 2);
+    }
+    /**
+     * Returns a full random double floating point number using 2 rolls.
+     * @returns {number}
+     */
+    get nextDouble()
+    {
+        let top, bottom, result;
+        do
+        {
+            top = this.nextInt >>> 10;
+            bottom = this.nextFloat;
+            result = (top + bottom) / (1 << 21);
+        }
+        while(result === 0);
+        return result;
     }
     /**
      * Returns a random integer within a range of [start, end).
@@ -591,7 +607,7 @@ class Xorshift
     {
         // [start, end)
         let size = end - start;
-        return start + Math.floor(this.nextFloat() * size);
+        return start + Math.floor(this.nextFloat * size);
     }
     /**
      * Returns a random element from an array.
@@ -1375,7 +1391,7 @@ class LSystem
                     }
                     else    // Stochastic time
                     {
-                        let roll = this.RNG.nextFloat();
+                        let roll = this.RNG.nextFloat;
                         let chanceSum = 0;
                         let choice = -1;
                         for(let k = 0; k < tmpRules[j].derivations.length; ++k)
@@ -1498,7 +1514,7 @@ class LSystem
                 {
                     // Models can be drawn any time, thus, the RNG should be
                     // separate from actual rule processing.
-                    let roll = globalRNG.nextFloat();
+                    let roll = globalRNG.nextFloat;
                     let chanceSum = 0;
                     let choice = -1;
                     for(let k = 0; k < tmpRules[j].derivations.length; ++k)
@@ -3443,7 +3459,7 @@ var getEquationOverlay = () =>
     let result = ui.createLatexLabel
     ({
         text: overlayText,
-        margin: new Thickness(5, 4),
+        margin: new Thickness(8, 4),
         fontSize: 9,
         textColor: Color.TEXT_MEDIUM
     });

From ba83821f37ac0ad7a518ec75a46deccae67e6b31 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 5 Mar 2023 17:17:16 +0700
Subject: [PATCH 89/94] Fixed rule swap btns not replacing text correctly

---
 classic.js    | 38 ++++++++++++++++++++++++--------------
 parametric.js | 40 +++++++++++++++++++++++++---------------
 2 files changed, 49 insertions(+), 29 deletions(-)

diff --git a/classic.js b/classic.js
index b622bc9..658441c 100644
--- a/classic.js
+++ b/classic.js
@@ -4121,9 +4121,11 @@ let createSystemMenu = () =>
                 onClicked: () =>
                 {
                     Sound.playClick();
-                    let tmpRule = ruleEntries[i].text;
-                    ruleEntries[i].text = ruleEntries[i - 1].text;
-                    ruleEntries[i - 1].text = tmpRule;
+                    let tmpRule = tmpRules[i];
+                    tmpRules[i] = tmpRules[i - 1];
+                    tmpRules[i - 1] = tmpRule;
+                    ruleEntries[i - 1].text = tmpRules[i - 1];
+                    ruleEntries[i].text = tmpRules[i];
                 }
             }));
         }
@@ -4149,11 +4151,12 @@ let createSystemMenu = () =>
         {
             Sound.playClick();
             let i = ruleEntries.length;
+            tmpRules[i] = '';
             ruleEntries.push(ui.createEntry
             ({
                 row: i,
                 column: 0,
-                text: '',
+                text: tmpRules[i],
                 clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
                 onTextChanged: (ot, nt) =>
                 {
@@ -4171,9 +4174,11 @@ let createSystemMenu = () =>
                     onClicked: () =>
                     {
                         Sound.playClick();
-                        let tmpRule = ruleEntries[i].text;
-                        ruleEntries[i].text = ruleEntries[i - 1].text;
-                        ruleEntries[i - 1].text = tmpRule;
+                        let tmpRule = tmpRules[i];
+                        tmpRules[i] = tmpRules[i - 1];
+                        tmpRules[i - 1] = tmpRule;
+                        ruleEntries[i - 1].text = tmpRules[i - 1];
+                        ruleEntries[i].text = tmpRules[i];
                     }
                 }));
             }
@@ -4809,9 +4814,11 @@ let createViewMenu = (title, parentMenu) =>
                 onClicked: () =>
                 {
                     Sound.playClick();
-                    let tmpRule = ruleEntries[i].text;
-                    ruleEntries[i].text = ruleEntries[i - 1].text;
-                    ruleEntries[i - 1].text = tmpRule;
+                    let tmpRule = tmpRules[i];
+                    tmpRules[i] = tmpRules[i - 1];
+                    tmpRules[i - 1] = tmpRule;
+                    ruleEntries[i - 1].text = tmpRules[i - 1];
+                    ruleEntries[i].text = tmpRules[i];
                 }
             }));
         }
@@ -4837,11 +4844,12 @@ let createViewMenu = (title, parentMenu) =>
         {
             Sound.playClick();
             let i = ruleEntries.length;
+            tmpRules[i] = '';
             ruleEntries.push(ui.createEntry
             ({
                 row: i,
                 column: 0,
-                text: '',
+                text: tmpRules[i],
                 clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
                 onTextChanged: (ot, nt) =>
                 {
@@ -4859,9 +4867,11 @@ let createViewMenu = (title, parentMenu) =>
                     onClicked: () =>
                     {
                         Sound.playClick();
-                        let tmpRule = ruleEntries[i].text;
-                        ruleEntries[i].text = ruleEntries[i - 1].text;
-                        ruleEntries[i - 1].text = tmpRule;
+                        let tmpRule = tmpRules[i];
+                        tmpRules[i] = tmpRules[i - 1];
+                        tmpRules[i - 1] = tmpRule;
+                        ruleEntries[i - 1].text = tmpRules[i - 1];
+                        ruleEntries[i].text = tmpRules[i];
                     }
                 }));
             }
diff --git a/parametric.js b/parametric.js
index 4a0b336..e7f7201 100644
--- a/parametric.js
+++ b/parametric.js
@@ -68,7 +68,7 @@ let resetLvlOnConstruct = true;
 let measurePerformance = false;
 let debugCamPath = false;
 let normaliseQuaternions = false;
-let maxCharsPerTick = 250;
+let maxCharsPerTick = 500;
 let menuLang = Localization.language;
 
 let savedSystems = new Map();
@@ -4368,9 +4368,11 @@ let createSystemMenu = () =>
                 onClicked: () =>
                 {
                     Sound.playClick();
-                    let tmpRule = ruleEntries[i].text;
-                    ruleEntries[i].text = ruleEntries[i - 1].text;
-                    ruleEntries[i - 1].text = tmpRule;
+                    let tmpRule = tmpRules[i];
+                    tmpRules[i] = tmpRules[i - 1];
+                    tmpRules[i - 1] = tmpRule;
+                    ruleEntries[i - 1].text = tmpRules[i - 1];
+                    ruleEntries[i].text = tmpRules[i];
                 }
             }));
         }
@@ -4396,11 +4398,12 @@ let createSystemMenu = () =>
         {
             Sound.playClick();
             let i = ruleEntries.length;
+            tmpRules[i] = '';
             ruleEntries.push(ui.createEntry
             ({
                 row: i,
                 column: 0,
-                text: '',
+                text: tmpRules[i],
                 clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
                 onTextChanged: (ot, nt) =>
                 {
@@ -4418,9 +4421,11 @@ let createSystemMenu = () =>
                     onClicked: () =>
                     {
                         Sound.playClick();
-                        let tmpRule = ruleEntries[i].text;
-                        ruleEntries[i].text = ruleEntries[i - 1].text;
-                        ruleEntries[i - 1].text = tmpRule;
+                        let tmpRule = tmpRules[i];
+                        tmpRules[i] = tmpRules[i - 1];
+                        tmpRules[i - 1] = tmpRule;
+                        ruleEntries[i - 1].text = tmpRules[i - 1];
+                        ruleEntries[i].text = tmpRules[i];
                     }
                 }));
             }
@@ -5095,9 +5100,11 @@ let createViewMenu = (title, parentMenu) =>
                 onClicked: () =>
                 {
                     Sound.playClick();
-                    let tmpRule = ruleEntries[i].text;
-                    ruleEntries[i].text = ruleEntries[i - 1].text;
-                    ruleEntries[i - 1].text = tmpRule;
+                    let tmpRule = tmpRules[i];
+                    tmpRules[i] = tmpRules[i - 1];
+                    tmpRules[i - 1] = tmpRule;
+                    ruleEntries[i - 1].text = tmpRules[i - 1];
+                    ruleEntries[i].text = tmpRules[i];
                 }
             }));
         }
@@ -5123,11 +5130,12 @@ let createViewMenu = (title, parentMenu) =>
         {
             Sound.playClick();
             let i = ruleEntries.length;
+            tmpRules[i] = '';
             ruleEntries.push(ui.createEntry
             ({
                 row: i,
                 column: 0,
-                text: '',
+                text: tmpRules[i],
                 clearButtonVisibility: ClearButtonVisibility.WHILE_EDITING,
                 onTextChanged: (ot, nt) =>
                 {
@@ -5145,9 +5153,11 @@ let createViewMenu = (title, parentMenu) =>
                     onClicked: () =>
                     {
                         Sound.playClick();
-                        let tmpRule = ruleEntries[i].text;
-                        ruleEntries[i].text = ruleEntries[i - 1].text;
-                        ruleEntries[i - 1].text = tmpRule;
+                        let tmpRule = tmpRules[i];
+                        tmpRules[i] = tmpRules[i - 1];
+                        tmpRules[i - 1] = tmpRule;
+                        ruleEntries[i - 1].text = tmpRules[i - 1];
+                        ruleEntries[i].text = tmpRules[i];
                     }
                 }));
             }

From 49b4e6f8cacedad412835f0623a8d93552c189c5 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 5 Mar 2023 19:03:20 +0700
Subject: [PATCH 90/94] Added toe

---
 parametric.js | 52 +++++++++++++++++++++++++++++++++++++++++++++++----
 1 file changed, 48 insertions(+), 4 deletions(-)

diff --git a/parametric.js b/parametric.js
index e7f7201..f4ba6ee 100644
--- a/parametric.js
+++ b/parametric.js
@@ -469,6 +469,32 @@ Centre: (0, lv/2+1, 0)
 Upright`,
                 source: 'https://www.houdinikitchen.net/2019/12/21/how-to-create-l-systems/'
             },
+            {
+                title: 'Example: Mistletoe',
+                contents:
+`Welcome to the Parametric L-systems Renderer!
+
+Axiom: ++M(0)
+M(t): t<2 = F~M(t+1)
+M(t): t<3 = [&T$~M(t+1, 0)]/(120)[&T$M(t+1, 0)]/(120)[&T$M(t+1, 0)]
+M(t, i): t<5 = F~M(t+1, i): 0.7-i; F~K(0)~M(t+1, i+0.3): 0.3+i
+M(t, i): t>=5 = [&T~M(t-2, i+0.3)]/(180)[&TM(t-2, i+0.3)]
+~> M(t): t<3 = [+(48)~L(t)]/(180)[+(48)~L(t)]
+~> M(t, i) = [+(48)~L(2+0.4*t)]/(180)[+(48)~L(2+0.4*t)]
+~> L(t) = {[+(16)TF(t/6).&(16)-(16)TF(t/10).-TF(t/8)..][-(16)TF(t/6)[&(16)+(16)TF(t/10).].]}
+K(t): t<3 = ~K(t+1)
+K(t): t>=3 = [&&\\~B(0.3)]/(120)[&&/~B(0.24)]/(120)[&&~B(0.33)]
+~> K(t) = [&&F(0.3+t/10)]/(120)[&&F(0.3+t/10)]/(120)[&&F(0.3+t/10)]
+B(s) = ~B(s*0.8+0.2)
+~> B(s) = {[-(67.5)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).]}
+Turning angle: 32°
+Seed: 1362151494
+Tropism: 0.16
+
+Applies static camera:
+Scale: 6
+Centre: (3, 3, 0)`
+            },
             {
                 title: 'Appendix: Model discussions',
                 contents:
@@ -3263,10 +3289,23 @@ const xUpQuat = new Quaternion(0, 1, 0, 0);
 const yUpQuat = new Quaternion(0, 0, 1, 0);
 const zUpQuat = new Quaternion(0, 0, 0, 1);
 
-let arrow = new LSystem('X', ['F=FF', 'X=F[+X][-X]FX'], 30);
-let renderer = new Renderer(arrow, '2^lv', 0, '2^lv');
+let toe = new LSystem('++M(0)', [
+    'M(t): t<2 = F~M(t+1)',
+    'M(t): t<3 = [&T$~M(t+1, 0)]/(120)[&T$M(t+1, 0)]/(120)[&T$M(t+1, 0)]',
+    'M(t, i): t<5 = F~M(t+1, i): 0.7-i; F~K(0)~M(t+1, i+0.3): 0.3+i',
+    'M(t, i): t>=5 = [&T~M(t-2, i+0.3)]/(180)[&TM(t-2, i+0.3)]',
+    '~> M(t): t<3 = [+(48)~L(t)]/(180)[+(48)~L(t)]',
+    '~> M(t, i) = [+(48)~L(2+0.4*t)]/(180)[+(48)~L(2+0.4*t)]',
+    '~> L(t) = {[+(16)TF(t/6).&(16)-(16)TF(t/10).-TF(t/8)..][-(16)TF(t/6)[&(16)+(16)TF(t/10).].]}',
+    'K(t): t<3 = ~K(t+1)',
+    'K(t): t>=3 = [&&\\~B(0.3)]/(120)[&&/~B(0.24)]/(120)[&&~B(0.33)]',
+    '~> K(t) = [&&F(0.3+t/10)]/(120)[&&F(0.3+t/10)]/(120)[&&F(0.3+t/10)]',
+    'B(s) = ~B(s*0.8+0.2)',
+    '~> B(s) = {[-(67.5)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).]}',
+], '32', 1362151494, '', '', 0.16, {});
+let renderer = new Renderer(toe, 6, 0, 3, 3, 0);
 let globalRNG = new Xorshift(Date.now());
-let contentsTable = [0, 1, 2, 5, 7, 9, 10];
+let contentsTable = [0, 1, 2, 5, 7, 10, 11];
 let manualSystems =
 {
     3:
@@ -3316,7 +3355,12 @@ let manualSystems =
         ], '48', 0, 'A', '', 0.16, {
             'b': '2.25'
         }),
-        'config': ['7', '0', 'lv/2+1', '0', true]
+        config: ['7', '0', 'lv/2+1', '0', true]
+    },
+    9:
+    {
+        system: toe,
+        config: ['6', '3', '3', '0', false]
     }
 };
 let tmpSystem = null;

From 6768df062d9cade483bd6d8aa65a726d7ec889b5 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 5 Mar 2023 19:30:16 +0700
Subject: [PATCH 91/94] Fixed toe selfie so it gets a better angle

---
 parametric.js | 16 +++++++++-------
 1 file changed, 9 insertions(+), 7 deletions(-)

diff --git a/parametric.js b/parametric.js
index f4ba6ee..8591aba 100644
--- a/parametric.js
+++ b/parametric.js
@@ -482,10 +482,11 @@ M(t, i): t>=5 = [&T~M(t-2, i+0.3)]/(180)[&TM(t-2, i+0.3)]
 ~> M(t): t<3 = [+(48)~L(t)]/(180)[+(48)~L(t)]
 ~> M(t, i) = [+(48)~L(2+0.4*t)]/(180)[+(48)~L(2+0.4*t)]
 ~> L(t) = {[+(16)TF(t/6).&(16)-(16)TF(t/10).-TF(t/8)..][-(16)TF(t/6)[&(16)+(16)TF(t/10).].]}
-K(t): t<3 = ~K(t+1)
-K(t): t>=3 = [&&\\~B(0.3)]/(120)[&&/~B(0.24)]/(120)[&&~B(0.33)]
+K(c)>M(t, i): c<3 = ~K(c+1): 0.7-t/10, ~B(0.3): 0.3+t/10
+K(t): t<3 = ~K(t+1): 0.3+t/10, : 0.7-t/10
+K(t): t>=3 = [&&\\~B(0.3)]/(120)[&&\\~B(0.24)]/(120)[&&~B(0.27)]
 ~> K(t) = [&&F(0.3+t/10)]/(120)[&&F(0.3+t/10)]/(120)[&&F(0.3+t/10)]
-B(s) = ~B(s*0.8+0.2)
+B(s) = ~B(s*0.9+0.1)
 ~> B(s) = {[-(67.5)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).]}
 Turning angle: 32°
 Seed: 1362151494
@@ -3297,12 +3298,13 @@ let toe = new LSystem('++M(0)', [
     '~> M(t): t<3 = [+(48)~L(t)]/(180)[+(48)~L(t)]',
     '~> M(t, i) = [+(48)~L(2+0.4*t)]/(180)[+(48)~L(2+0.4*t)]',
     '~> L(t) = {[+(16)TF(t/6).&(16)-(16)TF(t/10).-TF(t/8)..][-(16)TF(t/6)[&(16)+(16)TF(t/10).].]}',
-    'K(t): t<3 = ~K(t+1)',
-    'K(t): t>=3 = [&&\\~B(0.3)]/(120)[&&/~B(0.24)]/(120)[&&~B(0.33)]',
+    'K(c)>M(t, i): c<3 = ~K(c+1): 0.7-t/10, ~B(0.3): 0.3+t/10',
+    'K(t): t<3 = ~K(t+1): 0.3+t/10, : 0.7-t/10',
+    'K(t): t>=3 = [&&\\~B(0.3)]/(120)[&&\\~B(0.24)]/(120)[&&~B(0.27)]',
     '~> K(t) = [&&F(0.3+t/10)]/(120)[&&F(0.3+t/10)]/(120)[&&F(0.3+t/10)]',
-    'B(s) = ~B(s*0.8+0.2)',
+    'B(s) = ~B(s*0.9+0.1)',
     '~> B(s) = {[-(67.5)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).+(45)F(s).]}',
-], '32', 1362151494, '', '', 0.16, {});
+], '32', 157120112, '', 'F+-&^/\\~{}', 0.16, {});
 let renderer = new Renderer(toe, 6, 0, 3, 3, 0);
 let globalRNG = new Xorshift(Date.now());
 let contentsTable = [0, 1, 2, 5, 7, 10, 11];

From 5061d22d18e80f938fe1911846ad9c858acf0203 Mon Sep 17 00:00:00 2001
From: propfeds <46107294+propfeds@users.noreply.github.com>
Date: Sun, 5 Mar 2023 19:39:16 +0700
Subject: [PATCH 92/94] Uploaded 1.0 screenshots

---
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 ...6-57-962_com.conicgames.exponentialidle.jpg | Bin 0 -> 285742 bytes
 ...2-30-873_com.conicgames.exponentialidle.jpg | Bin 0 -> 252509 bytes
 ...5-25-985_com.conicgames.exponentialidle.jpg | Bin 0 -> 289893 bytes
 ...6-45-355_com.conicgames.exponentialidle.jpg | Bin 0 -> 410055 bytes
 5 files changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 screenshots/Screenshot_2023-03-05-02-55-10-767_com.conicgames.exponentialidle.jpg
 create mode 100644 screenshots/Screenshot_2023-03-05-02-56-57-962_com.conicgames.exponentialidle.jpg
 create mode 100644 screenshots/Screenshot_2023-03-05-19-32-30-873_com.conicgames.exponentialidle.jpg
 create mode 100644 screenshots/Screenshot_2023-03-05-19-35-25-985_com.conicgames.exponentialidle.jpg
 create mode 100644 screenshots/Screenshot_2023-03-05-19-36-45-355_com.conicgames.exponentialidle.jpg

diff --git a/screenshots/Screenshot_2023-03-05-02-55-10-767_com.conicgames.exponentialidle.jpg b/screenshots/Screenshot_2023-03-05-02-55-10-767_com.conicgames.exponentialidle.jpg
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diff --git a/screenshots/Screenshot_2023-03-05-19-36-45-355_com.conicgames.exponentialidle.jpg b/screenshots/Screenshot_2023-03-05-19-36-45-355_com.conicgames.exponentialidle.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..bdb650f0fb033a559003f209f497392f22ae8e23
GIT binary patch
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HcmV?d00001


From d969301bf1181a2b40212173ef98b9e53b47eb1f Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 5 Mar 2023 19:42:54 +0700
Subject: [PATCH 93/94] Prepared for 1.0 release

---
 README.md                                         |  10 +++++-----
 TODO.md                                           |  14 +++++---------
 ..._com.conicgames.exponentialidle.jpg => 35.jpg} | Bin
 ..._com.conicgames.exponentialidle.jpg => 36.jpg} | Bin
 ..._com.conicgames.exponentialidle.jpg => 37.jpg} | Bin
 ..._com.conicgames.exponentialidle.jpg => 38.jpg} | Bin
 ..._com.conicgames.exponentialidle.jpg => 39.jpg} | Bin
 7 files changed, 10 insertions(+), 14 deletions(-)
 rename screenshots/{Screenshot_2023-03-05-02-55-10-767_com.conicgames.exponentialidle.jpg => 35.jpg} (100%)
 rename screenshots/{Screenshot_2023-03-05-02-56-57-962_com.conicgames.exponentialidle.jpg => 36.jpg} (100%)
 rename screenshots/{Screenshot_2023-03-05-19-32-30-873_com.conicgames.exponentialidle.jpg => 37.jpg} (100%)
 rename screenshots/{Screenshot_2023-03-05-19-35-25-985_com.conicgames.exponentialidle.jpg => 38.jpg} (100%)
 rename screenshots/{Screenshot_2023-03-05-19-36-45-355_com.conicgames.exponentialidle.jpg => 39.jpg} (100%)

diff --git a/README.md b/README.md
index 7bb75fd..66963e0 100644
--- a/README.md
+++ b/README.md
@@ -38,12 +38,12 @@ internal state in the theory menu, so please back it up.
 
 ## Screenshots
 
-![ss1](screenshots/33.jpg "Lilac branch")
+![ss1](screenshots/35.jpg "Lilac branch")
 
-![ss2](screenshots/34.jpg "Single lilac model")
+![ss2](screenshots/36.jpg "Sierpinski's Triangle")
 
-![ss3](screenshots/32.jpg "Clover model")
+![ss3](screenshots/38.jpg "Stamp stick")
 
-![ss3](screenshots/31.jpg "3D Hilbert curve")
+![ss3](screenshots/37.jpg "LS menu")
 
-![ss3](screenshots/30.jpg "Sierpinski triangle")
+![ss3](screenshots/39.jpg "Guide menu")
diff --git a/TODO.md b/TODO.md
index ed76c9d..48e5ca0 100644
--- a/TODO.md
+++ b/TODO.md
@@ -1,14 +1,13 @@
 # LSR: To-do List
 
 - [LSR: To-do List](#lsr-to-do-list)
-  - [Other considerations](#other-considerations)
-  - [1.0, Mistletoe ed.](#10-mistletoe-ed)
+  - [Considerations](#considerations)
   - [1.0: Completed](#10-completed)
   - [0.21: Completed](#021-completed)
   - [0.20: Completed](#020-completed)
   - [Impossible or Scrapped](#impossible-or-scrapped)
 
-## Other considerations
+## Considerations
 
 - [ ] Add more comments in the code
 - [ ] A more detailed README
@@ -21,14 +20,11 @@
 - Too much hassle to implement, defer them to LG?
   - [ ] Option to use old tropisme
 
-## 1.0, Mistletoe ed.
-
-- [ ] Complete new manual
-- [ ] Make a mistletoe for P-LSR
-  - To prevent lag, probably only create one stage with full models
-
 ## 1.0: Completed
 
+- [x] Complete new manual
+- [x] Make a mistletoe for P-LSR
+  - To prevent lag, probably only create one stage with full models
 - [x] Tropism direction
   - Maybe can have 4 arguments
 - [x] Issue: multiple parameters not working at all
diff --git a/screenshots/Screenshot_2023-03-05-02-55-10-767_com.conicgames.exponentialidle.jpg b/screenshots/35.jpg
similarity index 100%
rename from screenshots/Screenshot_2023-03-05-02-55-10-767_com.conicgames.exponentialidle.jpg
rename to screenshots/35.jpg
diff --git a/screenshots/Screenshot_2023-03-05-02-56-57-962_com.conicgames.exponentialidle.jpg b/screenshots/36.jpg
similarity index 100%
rename from screenshots/Screenshot_2023-03-05-02-56-57-962_com.conicgames.exponentialidle.jpg
rename to screenshots/36.jpg
diff --git a/screenshots/Screenshot_2023-03-05-19-32-30-873_com.conicgames.exponentialidle.jpg b/screenshots/37.jpg
similarity index 100%
rename from screenshots/Screenshot_2023-03-05-19-32-30-873_com.conicgames.exponentialidle.jpg
rename to screenshots/37.jpg
diff --git a/screenshots/Screenshot_2023-03-05-19-35-25-985_com.conicgames.exponentialidle.jpg b/screenshots/38.jpg
similarity index 100%
rename from screenshots/Screenshot_2023-03-05-19-35-25-985_com.conicgames.exponentialidle.jpg
rename to screenshots/38.jpg
diff --git a/screenshots/Screenshot_2023-03-05-19-36-45-355_com.conicgames.exponentialidle.jpg b/screenshots/39.jpg
similarity index 100%
rename from screenshots/Screenshot_2023-03-05-19-36-45-355_com.conicgames.exponentialidle.jpg
rename to screenshots/39.jpg

From 1ea6e293ae056f102c350828f240751224fa8452 Mon Sep 17 00:00:00 2001
From: Minh <propfeds@gmail.com>
Date: Sun, 5 Mar 2023 19:45:02 +0700
Subject: [PATCH 94/94] Fixed wordings in readme

---
 README.md     | 9 ++++-----
 parametric.js | 2 +-
 2 files changed, 5 insertions(+), 6 deletions(-)

diff --git a/README.md b/README.md
index 66963e0..dfdf9b4 100644
--- a/README.md
+++ b/README.md
@@ -1,12 +1,11 @@
-# L-systems-renderer
+# L-systems Renderer
 
-L-systems renderer in Exponential Idle.
+An implementation of L-systems in Exponential Idle.
 
 ## Installation
 
-Two editions of LSR are available. The Classic edition of LSR is lighter in
-terms of processing, but does not support parametric or context-sensitive
-syntax.
+Two editions of the LSR are available. The Classic edition is lighter in terms
+of processing, but does not support parametric or context-sensitive syntax.
 
 - [Classic](./classic.js)
 - [Parametric](./parametric.js)
diff --git a/parametric.js b/parametric.js
index 8591aba..c61b8b9 100644
--- a/parametric.js
+++ b/parametric.js
@@ -47,7 +47,7 @@ Other features:
 - Camera modes: static and turtle-following
 - Drawing speed and advanced stroke options!
 
-Note: Systems from LSR can be ported to P-LSR with minimal changes. However,` +
+Note: Systems from LSR can be ported to P-LSR with minimal changes. However, ` +
 `the opposite is rarely true.`,
     };