MathRules

Functions

There are two types of functions:

• Built-in functions, like "+" and "sqrt". These functions are implemented in Swift and cannot be overridden.
• User-defined functions (UDF) with 0 or more arguments. User-defined functions may call other functions and are defined in a RPN-style way.

Calling a function requires a context to resolve arguments and calls to library functions.

User-defined functions are built from instructions. Instructions are 'entered' as on a RPN calculator. An instruction is either:

• a constant;
• an index in a parameter list;
• an if-then-else condition;
• a (recursive) function call;
• applying a mapping function on a list of values;
• applying a reduction function on a list of values.

Dependencies

MathRules depends on the swift-numerics package.

Compatibility

MathRules was tested on macOS Monterey with XCode 13.4.1.

Status

Work in progress.