Module `Float64`Source

Sourcetype t

t is currently implemented by OCaml's float type.

Beware: NaNs have a sign and a payload, while they should be indistinguishable from Coq's perspective.

Sourceval is_nan : t -> bool

Test functions for special values to avoid calling classify

Sourceval is_infinity : t -> bool

Sourceval is_neg_infinity : t -> bool

Sourceval of_string : string -> t

Sourceval to_hex_string : t -> string

Print a float exactly as an hexadecimal value (exact decimal * printing would be possible but sometimes requires more than 700 * digits).

Sourceval to_string : t -> string

Print a float as a decimal value. The printing is not exact (the * real value printed is not always the given floating-point value), * however printing is precise enough that forall float f, * of_string (to_decimal_string f) = f.

Sourceval compile : t -> string

Sourceval of_float : float -> t

Sourceval to_float : t -> float

All NaNs are normalized to Stdlib.nan. *

since 8.15

Sourceval sign : t -> bool

Return true for "-", false for "+".

Sourceval opp : t -> t

Sourceval abs : t -> t

Sourcetype float_comparison =

| FEq
| FLt
| FGt
| FNotComparable

Sourceval eq : t -> t -> bool

Sourceval lt : t -> t -> bool

Sourceval le : t -> t -> bool

Sourceval compare : t -> t -> float_comparison

The IEEE 754 float comparison. * NotComparable is returned if there is a NaN in the arguments

Sourcetype float_class =

| PNormal
| NNormal
| PSubn
| NSubn
| PZero
| NZero
| PInf
| NInf
| NaN

Sourceval classify : t -> float_class

Sourceval mul : t -> t -> t

Sourceval add : t -> t -> t

Sourceval sub : t -> t -> t

Sourceval div : t -> t -> t

Sourceval sqrt : t -> t

Sourceval of_uint63 : Uint63.t -> t

Link with integers

Sourceval normfr_mantissa : t -> Uint63.t

Sourceval eshift : int

Shifted exponent extraction

Sourceval frshiftexp : t -> t * Uint63.t

Sourceval ldshiftexp : t -> Uint63.t -> t

Sourceval next_up : t -> t

Sourceval next_down : t -> t

Sourceval equal : t -> t -> bool

Return true if two floats are equal. * All NaN values are considered equal.

Sourceval hash : t -> int

Sourceval total_compare : t -> t -> int

Total order relation over float values. Behaves like Pervasives.compare.

Sourceval is_float64 : Obj.t -> bool

Install

Dune Dependency

Authors

Maintainers

Sources

doc/coq-core.kernel/Float64/index.html

Module `Float64`Source

package coq

Install

Dune Dependency

Authors

Maintainers

Sources

doc/coq-core.kernel/Float64/index.html

Module Float64Source

Module `Float64`Source