BatNumber

# Module BatNumber

    module BatNumber: sig .. end

A common interface for numbers.
Author(s): Gabriel Scherer, David Teller

    exception Overflow

Arithmetic overflow.

This kind of exception is raised by "safe" numeric modules whenever the number which should be returned is too large to be represented.

Non-"safe" numeric modules will return a result which depends on the internal representation. For instance, with module `Int`, `max_num + 1` returns `min_num`. By opposition, with module `Safe_int`, `max_num + 1` raises `Overflow`.

    exception NaN

Not a Number

This kind of exception is raised by "safe" modules whenever the number which should be returned is not a number.

For instance, with module `Safe_float`, `0.0 / 0.0` raises `NaN`. By opposition, with module `Float`, `0.0 / 0.0` does not interrupt computation and returns a special value `nan`.

`type `'a` numeric = {`

`` | `zero : `'a`;`
`` | `one : `'a`;`
`` | `neg : `'a -> 'a`;`
`` | `succ : `'a -> 'a`;`
`` | `pred : `'a -> 'a`;`
`` | `abs : `'a -> 'a`;`
`` | `add : `'a -> 'a -> 'a`;`
`` | `sub : `'a -> 'a -> 'a`;`
`` | `mul : `'a -> 'a -> 'a`;`
`` | `div : `'a -> 'a -> 'a`;`
`` | `modulo : `'a -> 'a -> 'a`;`
`` | `pow : `'a -> 'a -> 'a`;`
`` | `compare : `'a -> 'a -> int`;`
`` | `of_int : `int -> 'a`;`
`` | `to_int : `'a -> int`;`
`` | `of_string : `string -> 'a`;`
`` | `to_string : `'a -> string`;`
`` | `of_float : `float -> 'a`;`
`` | `to_float : `'a -> float`;`

}
The smallest set of operations supported by every set of numbers.

This is presented as record to permit lightweight typeclass-style computation.

    module type Infix = sig .. end

The infix operators available with any type of numbers

    module type Compare = sig .. end

And if you are ready to drop generic comparison operators, then you can open this one as well

    module type Numeric = sig .. end

The full set of operations of a type of numbers

    module type Bounded = sig .. end

    module type Discrete = sig .. end