package interval

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Module Fpu.HighSource

Functions rounding up their results.

Sourceval float : int -> float

The float function is exact on 32 bits machine but not on 64 bits machine with ints larger than 53 bits.

Sourceval (+.) : float -> float -> float
Sourceval (-.) : float -> float -> float
Sourceval (*.) : float -> float -> float
Sourceval (/.) : float -> float -> float
Sourceval (**) : float -> float -> float

x**y computes x at power y, rounded up, expanded to its mathematical limit when it exists.

Sourceval pow : float -> float -> float

pow x y computes x at power y, rounded up, for 0 < x < ∞ and -∞ < y < infty.

Sourceval sqrt : float -> float

Floating point square root, rounded up.

Sourceval exp : float -> float

Floating point exponential, rounded up.

Sourceval log : float -> float

Floating point log, rounded up.

Sourceval sin : float -> float

Computes sin(x) for x ∈ ]-2⁶³, 2⁶³[.

Sourceval cos : float -> float

Computes cos(x) for x in ]-2⁶³, 2⁶³[.

Sourceval tan : float -> float

Computes tan(x) for x in ]-2⁶³, 2⁶³[.

Sourceval asin : float -> float

Arc-sine function.

Sourceval acos : float -> float

Arc-cosine function.

Sourceval atan : float -> float

Arc-tangent function.

Sourceval atan2 : float -> float -> float

atan2 y x returns the arc tangent of y /. x. The signs of x and y are used to determine the quadrant of the result. Result is in radians and is between -π and π.

Sourceval sinh : float -> float

Computes the hyperbolic sine, sinh(x).

Sourceval cosh : float -> float

Computes the hyperbolic cosine, cosh(x).

Sourceval tanh : float -> float

Computes the hyperbolic tangent, tanh(x).

Sourcemodule U : sig ... end

Locally open to restore standard integer and floating point operators.

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