package apronext

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Module Apronext.CoeffextSource

type union_5 = Apron.Coeff.union_5 =
  1. | Scalar of Apron.Scalar.t
  2. | Interval of Apron.Interval.t
and t = union_5

APRON Coefficients (either scalars or intervals)

val s_of_mpq : Mpq.t -> t
val s_of_mpqf : Mpqf.t -> t
val s_of_int : int -> t
val s_of_frac : int -> int -> t

Create a scalar coefficient of type Mpqf.t from resp.

  • A multi-precision rational Mpq.t
  • A multi-precision rational Mpqf.t
  • an integer
  • a fraction x/y
val s_of_float : float -> t

Create an interval coefficient of type Float with the given value

val s_of_mpfr : Mpfr.t -> t

Create an interval coefficient of type Mpfr with the given value

val i_of_scalar : Apron.Scalar.t -> Apron.Scalar.t -> t

Build an interval from a lower and an upper bound

val i_of_mpq : Mpq.t -> Mpq.t -> t
val i_of_mpqf : Mpqf.t -> Mpqf.t -> t
val i_of_int : int -> int -> t
val i_of_frac : int -> int -> int -> int -> t
val i_of_float : float -> float -> t
val i_of_mpfr : Mpfr.t -> Mpfr.t -> t

Create an interval coefficient from resp. two

  • multi-precision rationals Mpq.t
  • multi-precision rationals Mpqf.t
  • integers
  • fractions x/y and z/w
  • machine floats
  • Mpfr floats
val is_scalar : t -> bool
val is_interval : t -> bool
val cmp : t -> t -> int

Non Total Comparison:

  • If the 2 coefficients are both scalars, corresp. to Scalar.cmp
  • If the 2 coefficients are both intervals, corresp. to Interval.cmp
  • otherwise, -3 if the first is a scalar, 3 otherwise
val equal : t -> t -> bool

Equality test

val is_zero : t -> bool

Is the coefficient equal to scalar 0 or interval 0,0 ?

val equal_int : t -> int -> bool

Is the coefficient equal to scalar b or interval b,b ?

val neg : t -> t

Negation

val reduce : t -> t

Convert interval to scalar if possible

val print : Format.formatter -> t -> unit

Printing

Extensions

Sourceval one : t

the constant 1

Sourceval minus_one : t

the constant -1

conversion operators

Sourceval to_float : t -> float

to_float x converts x to a float. Raises Invalid_arg if x is a scalar

Sourceval to_mpqf : t -> Mpqf.t

to_float x converts x to a Mpqf.t. Raises Invalid_arg if x is a scalar

Sourceval to_int : t -> int

to_float x converts x to an integer. Raises Invalid_arg if x is a scalar