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"@types/benchmark": "^2.1.5", - "@types/node": "^20.10.1", - "benchmark": "^2.1.4", - "gts": "^5.2.0", - "typedoc": "^0.25.4", - "typescript": "^5.3.2", - "vitest": "^0.34.6" + "@types/node": "^20.12.7", + "gts": "^5.3.0", + "typedoc": "^0.25.13", + "typescript": "^5.4.5", + "vitest": "^1.5.0" }, "scripts": { "lint": "gts lint", @@ -44,13 +42,10 @@ "pretest": "npm run compile", "posttest": "npm run lint", "test": "vitest", - "doc": "typedoc src/index.ts . --name xen-dev-utils", - "premonzo-benchmark": "tsc -p tsconfig-benchmark.json", - "monzo-benchmark": "node benchmarks/__benchmarks__/monzo.mark.js", - "preprimes-benchmark": "tsc -p tsconfig-benchmark.json", - "primes-benchmark": "node benchmarks/__benchmarks__/primes.mark.js", - "prefraction-benchmark": "tsc -p tsconfig-benchmark.json", - "fraction-benchmark": "node benchmarks/__benchmarks__/fraction.mark.js" + "compile-legacy": "tsc -p tsconfig-legacy.json", + "prebench": "npm run compile && npm run compile-legacy", + "bench": "vitest bench", + "doc": "typedoc src/index.ts . --name xen-dev-utils" }, "engines": { "node": ">=10.6.0" diff --git a/src/__benchmarks__/fraction.mark.ts b/src/__benchmarks__/fraction.mark.ts deleted file mode 100644 index 32f831f..0000000 --- a/src/__benchmarks__/fraction.mark.ts +++ /dev/null @@ -1,48 +0,0 @@ -// @ts-ignore -import Benchmark = require('benchmark'); -import {Fraction, gcd, lcm} from '..'; - -function addWithLcm(self: Fraction, other: Fraction) { - const {s, n, d} = new Fraction(other); - const denominator = lcm(self.d, d); - return new Fraction( - self.s * self.n * (denominator / self.d) + s * n * (denominator / d), - denominator - ); -} - -function addWithGcd(self: Fraction, other: Fraction) { - const {s, n, d} = new Fraction(other); - const factor = gcd(self.d, d); - const df = d / factor; - return new Fraction( - self.s * self.n * df + s * n * (self.d / factor), - df * self.d - ); -} - -function randomFraction() { - return new Fraction( - Math.floor(Math.random() * 10000), - Math.floor(Math.random() * 10000) + 1 - ); -} - -const fractionAddSuite = new Benchmark.Suite(); -fractionAddSuite - .add('current implementation', () => { - randomFraction().add(randomFraction()); - }) - .add('old implementation (using lcm)', () => { - addWithLcm(randomFraction(), randomFraction()); - }) - .add('new implementation (using gcd)', () => { - addWithGcd(randomFraction(), randomFraction()); - }) - .on('cycle', (event: {target: any}) => { - console.log(String(event.target)); - }) - .on('complete', () => { - console.log('Fastest is ' + fractionAddSuite.filter('fastest').map('name')); - }) - .run({async: true}); diff --git a/src/__benchmarks__/monzo.bench.ts b/src/__benchmarks__/monzo.bench.ts new file mode 100644 index 0000000..3c41bc3 --- /dev/null +++ b/src/__benchmarks__/monzo.bench.ts @@ -0,0 +1,33 @@ +import {describe, bench} from 'vitest'; + +// It's important to use the distributed versions for a realistic comparison +import {toMonzoLegacy, primeLimitLegacy} from '../../legacy/legacy'; +import {toMonzo, primeLimit} from '../../dist'; + +function randInt() { + return Math.ceil(Math.random() * 1000000000); +} + +describe('Number to prime exponent vector conversion', () => { + bench('Old implementation', () => { + try { + toMonzoLegacy(randInt()); + } catch {} + }); + + bench('Using probes without division', () => { + try { + toMonzo(randInt()); + } catch {} + }); +}); + +describe('Prime limit calculator', () => { + bench('Old implementation', () => { + primeLimitLegacy(randInt()); + }); + + bench('New implementation', () => { + primeLimit(randInt()); + }); +}); diff --git a/src/__benchmarks__/monzo.mark.ts b/src/__benchmarks__/monzo.mark.ts deleted file mode 100644 index 57b4e1b..0000000 --- a/src/__benchmarks__/monzo.mark.ts +++ /dev/null @@ -1,174 +0,0 @@ -// @ts-ignore -import Benchmark = require('benchmark'); -import {PRIMES} from '../primes'; -import {type Monzo, toMonzo, sub, primeLimit} from '../monzo'; -import {Fraction, FractionValue} from '../fraction'; - -// Old implementation -function numberToMonzo(n: number) { - if (n < 0) { - throw new Error('Cannot convert negative number to monzo'); - } - const result: Monzo = []; - PRIMES.every(prime => { - let component = 0; - while (n % prime === 0) { - n /= prime; - component++; - } - result.push(component); - return n !== 1; - }); - if (n !== 1) { - throw new Error('Out of primes'); - } - return result; -} - -// Second iteration -export function toMonzoWhile(n: FractionValue): Monzo { - if (typeof n !== 'number') { - n = new Fraction(n); - return sub(toMonzo(n.n), toMonzo(n.d)); - } - if (n < 1 || Math.round(n) !== n) { - throw new Error(`Cannot convert number ${n} to monzo`); - } - if (n === 1) { - return []; - } - - const result = [0]; - - // Accumulate increasingly complex factors into the probe - // until it reaches the input value. - let probe = 1; - let limitIndex = 0; - - if (n < 0x100000000) { - // Bit-magic for small 2-limit - while (!(n & 1)) { - n >>= 1; - result[0]++; - } - if (n === 1) { - return result; - } - result.push(0); - limitIndex = 1; - } - - while (true) { - const lastProbe = probe; - probe *= PRIMES[limitIndex]; - if (n % probe) { - probe = lastProbe; - result.push(0); - limitIndex++; - if (limitIndex >= PRIMES.length) { - throw new Error('Out of primes'); - } - } else if (n === probe) { - result[limitIndex]++; - return result; - } else { - result[limitIndex]++; - } - } -} - -// First iteration -export function primeLimitWhile(n: FractionValue, maxLimit = 7919): number { - if (typeof n !== 'number') { - n = new Fraction(n); - return Math.max( - primeLimitWhile(n.n, maxLimit), - primeLimitWhile(n.d, maxLimit) - ); - } - if (n < 1 || Math.round(n) !== n) { - return NaN; - } - if (n === 1) { - return 1; - } - - // Accumulate increasingly complex factors into the probe - // until it reaches the input value. - let probe = 1; - let limitIndex = 0; - - if (n < 0x100000000) { - // Bit-magic for small 2-limit - while (!(n & 1)) { - n >>= 1; - } - if (n === 1) { - return 2; - } - limitIndex = 1; - } - - while (true) { - const lastProbe = probe; - probe *= PRIMES[limitIndex]; - if (n % probe) { - probe = lastProbe; - limitIndex++; - if (limitIndex >= PRIMES.length || PRIMES[limitIndex] > maxLimit) { - return Infinity; - } - } else if (n === probe) { - return PRIMES[limitIndex]; - } - } -} - -function randInt() { - return Math.ceil(Math.random() * 10000000000); -} - -const intToMonzoSuite = new Benchmark.Suite(); -intToMonzoSuite - .add('old monzo converter (using division and modulo)', () => { - try { - numberToMonzo(randInt()); - } catch {} - }) - .add('second monzo converter (using modulo only with while)', () => { - try { - toMonzoWhile(randInt()); - } catch {} - }) - .add('new monzo converter (using modulo only without while)', () => { - try { - toMonzo(randInt()); - } catch {} - }) - .on('cycle', (event: {target: any}) => { - console.log(String(event.target)); - }) - .on('complete', () => { - console.log('Fastest is ' + intToMonzoSuite.filter('fastest').map('name')); - }) - .run({async: true}); - -const primeLimitSuite = new Benchmark.Suite(); -primeLimitSuite - .add('first prime limit calculator (using while)', () => { - try { - primeLimitWhile(randInt()); - } catch {} - }) - .add('new prime limit calculator (without while)', () => { - try { - primeLimit(randInt()); - } catch {} - }) - .on('cycle', (event: {target: any}) => { - console.log(String(event.target)); - }) - .on('complete', () => { - console.log('Fastest is ' + primeLimitSuite.filter('fastest').map('name')); - }) - .run({async: true}); diff --git a/src/__benchmarks__/primes.mark.ts b/src/__benchmarks__/primes.mark.ts deleted file mode 100644 index c8bab18..0000000 --- a/src/__benchmarks__/primes.mark.ts +++ /dev/null @@ -1,41 +0,0 @@ -// @ts-ignore -import Benchmark = require('benchmark'); -import {PRIMES, isPrime} from '../primes'; - -function withoutInclusionCheck(n: number) { - if (!Number.isInteger(n) || n < 2) { - return false; - } - if (n > 62837328) { - throw new Error('Prime check only implemented up to 62837328'); - } - for (const prime of PRIMES) { - if (prime * prime > n) { - return true; - } - if (n % prime === 0) { - return false; - } - } - return true; -} - -function randSmallInt() { - return Math.floor(Math.random() * 10000); -} - -const primalityCheckSuite = new Benchmark.Suite(); -primalityCheckSuite - .add('primality check (with array inclusion)', () => isPrime(randSmallInt())) - .add('primality check (without array inclusion)', () => - withoutInclusionCheck(randSmallInt()) - ) - .on('cycle', (event: {target: any}) => { - console.log(String(event.target)); - }) - .on('complete', () => { - console.log( - 'Fastest is ' + primalityCheckSuite.filter('fastest').map('name') - ); - }) - .run({async: true}); diff --git a/src/legacy.ts b/src/legacy.ts new file mode 100644 index 0000000..07c4e39 --- /dev/null +++ b/src/legacy.ts @@ -0,0 +1,164 @@ +// Legacy implementations that need to be tsc compiled for fair benchmark comparison. + +import {Fraction, FractionValue} from './fraction'; +import {Monzo, sub} from './monzo'; +import {BIG_INT_PRIMES, PRIMES} from './primes'; + +// Old implementation to test how the compiled package performs +export function toMonzoLegacy(n: FractionValue | bigint): Monzo { + if (typeof n === 'bigint') { + return bigIntToMonzo(n); + } + if (typeof n !== 'number') { + n = new Fraction(n); + return sub(toMonzoLegacy(n.n), toMonzoLegacy(n.d)); + } + if (n < 1 || Math.round(n) !== n) { + throw new Error(`Cannot convert number ${n} to monzo`); + } + if (n === 1) { + return []; + } + + const result: Monzo = []; + for (const prime of PRIMES) { + let component = 0; + while (n % prime === 0) { + n /= prime; + component++; + } + result.push(component); + if (n === 1) { + break; + } + } + if (n !== 1) { + throw new Error('Out of primes'); + } + return result; +} + +export function primeLimitLegacy( + n: FractionValue | bigint, + asOrdinal = false, + maxLimit = 7919 +): number { + if (typeof n === 'bigint') { + return bigIntPrimeLimit(n, asOrdinal, maxLimit); + } + if (typeof n !== 'number') { + n = new Fraction(n); + return Math.max( + primeLimitLegacy(n.n, asOrdinal, maxLimit), + primeLimitLegacy(n.d, asOrdinal, maxLimit) + ); + } + if (n < 1 || Math.round(n) !== n) { + return NaN; + } + if (n === 1) { + return 1; + } + + // Accumulate increasingly complex factors into the probe + // until it reaches the input value. + let probe = 1; + let limitIndex = 0; + + if (n < 0x100000000) { + // Bit-magic for small 2-limit + while (!(n & 1)) { + n >>= 1; + } + if (n === 1) { + return 2; + } + limitIndex = 1; + } + + while (true) { + const lastProbe = probe; + probe *= PRIMES[limitIndex]; + if (n % probe) { + probe = lastProbe; + limitIndex++; + if (limitIndex >= PRIMES.length || PRIMES[limitIndex] > maxLimit) { + return Infinity; + } + } else if (n === probe) { + return PRIMES[limitIndex]; + } + } +} + +// This was the current implementation at the time of writing. Re-printed here because we don't want to export it. +function bigIntToMonzo(n: bigint) { + if (n < 1n) { + throw new Error('Cannot convert non-positive big integer to monzo'); + } + if (n === 1n) { + return []; + } + const result = [0]; + + // Accumulate increasingly complex factors into the probe + // until it reaches the input value. + let probe = 1n; + let limitIndex = 0; + + while (true) { + const lastProbe = probe; + probe *= BIG_INT_PRIMES[limitIndex]; + if (n % probe) { + probe = lastProbe; + result.push(0); + limitIndex++; + if (limitIndex >= BIG_INT_PRIMES.length) { + throw new Error('Out of primes'); + } + } else if (n === probe) { + result[limitIndex]++; + return result; + } else { + result[limitIndex]++; + } + } +} + +function bigIntPrimeLimit( + n: bigint, + asOrdinal: boolean, + maxLimit: number +): number { + if (n < 1n) { + return NaN; + } + if (n === 1n) { + return asOrdinal ? 0 : 1; + } + + // Accumulate increasingly complex factors into the probe + // until it reaches the input value. + + // Bit-magic for 2-limit + let probe = (n ^ (n - 1n)) & n; + if (n === probe) { + return asOrdinal ? 1 : 2; + } + let limitIndex = 1; + + while (true) { + const lastProbe = probe; + probe *= BIG_INT_PRIMES[limitIndex]; + if (n % probe) { + probe = lastProbe; + limitIndex++; + // Using non-big primes here is intentional, the arrays have the same length. + if (limitIndex >= PRIMES.length || PRIMES[limitIndex] > maxLimit) { + return Infinity; + } + } else if (n === probe) { + return asOrdinal ? limitIndex + 1 : PRIMES[limitIndex]; + } + } +} diff --git a/tsconfig-benchmark.json b/tsconfig-legacy.json similarity index 57% rename from tsconfig-benchmark.json rename to tsconfig-legacy.json index ce95009..05b3fc7 100644 --- a/tsconfig-benchmark.json +++ b/tsconfig-legacy.json @@ -1,14 +1,14 @@ { "extends": "./node_modules/gts/tsconfig-google.json", "compilerOptions": { - "rootDir": "./src/", - "outDir": "benchmarks", + "rootDir": "./src", + "outDir": "legacy", "lib": [ "es2020" ], - "target": "es2020" + "target": "es2020", }, "include": [ - "src/__benchmarks__/*" + "src/legacy.ts" ] }