ext-math

A PHP extension providing comprehensive mathematics support.

Introduction

At the moment, this repository is acting as a place to put research and planned scope/design.

Planned Features

• Core Principles:
  • Seemless and performant transition between standard precision and arbitrary precision to allow replacement of scalars without significant increases in RAM/CPU usage unless high precision is being actively used.
  • Portability of types, regardless of base or precision, across different operations and features within the extension
  • Extended math features currently not available in PHP
  • Should have full operator overload support for all types provided to again act as full replacements for scalars
• Type System:
  • Decimals
    • Reals
    • Imaginary
    • Multiple Bases
  • Fractions
    • Reals
    • Imaginary
    • Multiple Bases
  • Complex
    • Composed of Decimals/Fractions
  • Matrices
    • Composed of Decimals/Fractions/Complex
  • Tuples
• Operations/Domains:
  • Arithmetic
  • Bitwise Arithmetic
  • Trigonometry
  • Statistics
    • Including things such as erf() and inverse erf()
    • At a minimum support for gaussian normal distributions, exponential distributions, and poisson distributions
  • RNG (non-cryptographic & cryptographic)
  • Rounding
  • Calculus (where analytical solutions are possible)
  • Grid/Graph/Coordinate systems
    • Including pathfinding algorithms
  • Combinatorics/Permutations

Possible Libraries/Utilities

• FLINT + Arb
• MPDecimal