package interval_base

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Interface for up and down roundings.

type t

Type of numbers.

val zero : t

The neutral element for addition.

val one : t

The neutral element for multiplication.

val pi : t

Upper/lower bound on π.

val two_pi : t

Upper/lower bound on 2π.

val half_pi : t

Upper/lower bound on π/2.

val e : t

Upper/lower bound on e (Euler's constant).

val float : int -> t

When t = float, the float function is exact on 32 bits machine but not on 64 bits machine with ints larger than 53 bits.

val (+.) : t -> t -> t

val (-.) : t -> t -> t

val (*.) : t -> t -> t

val (/.) : t -> t -> t

val sqr : t -> t

sqr x returns an upper/lower bound on x².

val cbr : t -> t

cbr x returns an upper/lower bound on x³.

val pow_i : t -> int -> t

pow_i x n return a upper/lower bound on xⁿ.