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math-lib-rational

This library provides Rational & TrigoFloat modules which export the following funcitons.

Rational module

  1. new - int -> int -> Rational.t
  2. inverse - Rational.t -> Rational.t
  3. add - Rational.t -> Rational.t -> Rational.t
  4. sub - Rational.t -> Rational.t -> Rational.t
  5. lt - Rational.t -> Rational.t -> bool
  6. lte - Rational.t -> Rational.t -> bool
  7. gte - Rational.t -> Rational.t -> bool
  8. gt - Rational.t -> Rational.t -> bool
  9. mul - Rational.t -> Rational.t -> Rational.t
  10. div - Rational.t -> Rational.t -> Rational.t
  11. modulo - Rational.t -> Rational.t -> Rational.t
  12. resolve - Rational.t -> nat -> int

TrigoRational module

  1. sinus - Rational.t * nat -> Rational.t
  2. cosinus - Rational.t * nat -> Rational.t

The rational numbers are represented by a pair (p, q) where n = p / q. All operations are applied in order to keep the number as a product and division of rationals.

Based on rational numbers representation, this library introduces an implementation of trigonometric functions (cosinus, sinus). The implementation of sinus is based on Chebychev polynomials interpolation.

Tests

A makefile is provided to launch tests.

make test