package interval_crlibm

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interval_crlibm
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- Library interval_crlibm
  - Interval_crlibm
    
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- Sources
  - interval_crlibm
    
    generic.ml
    
    interval_crlibm.ml
    
    interval_crlibm__.ml

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Module `Interval_crlibm.High`Source

Functions rounding up their results.

include Interval.DIRECTED with type t = float

Sourcetype t = float

Type of numbers.

Sourceval zero : t

The neutral element for addition.

Sourceval one : t

The neutral element for multiplication.

Sourceval pi : t

Upper/lower bound on π.

Sourceval two_pi : t

Upper/lower bound on 2π.

Sourceval half_pi : t

Upper/lower bound on π/2.

Sourceval e : t

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

Sourceval 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.

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

Sourceval (-.) : t -> t -> t

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

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

Sourceval sqr : t -> t

sqr x returns an upper/lower bound on x².

Sourceval cbr : t -> t

cbr x returns an upper/lower bound on x³.

Sourceval pow_i : t -> int -> t

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

include Crlibm.S

Sourceval exp : float -> float

Sourceval expm1 : float -> float

expm1 x returns exp x -. 1. in a way that is accurate even for values of x near zero.

Sourceval log : float -> float

Sourceval log1p : float -> float

log1p x returns log(x +. 1.) in a way that is accurate even for values of x near zero.

Sourceval cos : float -> float

Sourceval sin : float -> float

Sourceval tan : float -> float

Sourceval cospi : float -> float

cospi x returns cos(π·x).

Sourceval sinpi : float -> float

sinpi x returns sin(π·x).

Sourceval tanpi : float -> float

tanpi x returns tan(π·x).

Sourceval asin : float -> float

Sourceval acos : float -> float

Sourceval atan : float -> float

Sourceval asinpi : float -> float

asinpi x returns (asin x)/π ∈ [-0.5, 0.5].

Sourceval acospi : float -> float

acospi x returns (acos x)/π ∈ [0., 1.].

Sourceval atanpi : float -> float

atanpi x returns (atan x)/π ∈ [-0.5, 0.5].

Sourceval cosh : float -> float

Sourceval sinh : float -> float

Sourceval log2 : float -> float

Sourceval log10 : float -> float

Sourceval tanh : t -> t

Hyperbolic tangent. This is not provided by CRlibm but is defined here for usefulness.

Sourcemodule U = I.U

package interval_crlibm

Module Interval_crlibm.HighSource

Module `Interval_crlibm.High`Source