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An interval arithmetic library for OCaml (meta package)






1.6 2022-12-06

  • Use the standard inf and sup for the bounds of the interval.

  • Prefer ..._up and ..._dw to mark the rounding of functions and
    RoundUp and RoundDown for the modules. Crlibm was updated

  • Rename Interval as Interval_base as it conflicted with the
    Interval module in compiler libs (provoking a collision when this
    library was used in the REPL).

  • Add functions mag (magnitude) and mig (mignitude), mid
    (midpoint), singleton (creation of intervals containing a single
    value), is_singleton, diam (diameter), belong (x ∈ I), floor,
    ceil and hypot.

  • Renamed Interval_*.t as Interval_*.interval as to not import the
    short type t into the namespace (but still have access to the
    record fields).

  • Add functions RoundDown.dist and RoundUp.dist (downward/upward
    rounded distance).

  • Use Dune 2.0.

1.5.1 2019-05-01

  • Fix the implementation of exponentiation (xⁿ, n ∈ ℤ).

  • Deprecate the size… functions in favor of width….

  • Add functions mag (magnitude) and mig (mignitude).

1.5 2019-04-06

  • The library is now organized as 4 packages:

    • interval_base defines the module Interval that groups the
      functions that work on any IEEE-754 processor and offers
      basic module signatures;

    • interval_intel: defines a module Interval_intel using assembly
      instructions on Intel Processors;

    • interval_crlibm: defines a module Interval_crlibm using the
      library CRlibm to evaluate standard functions (sometimes a bit
      slower but proved enclosures in contrast to the Intel package for
      which enclosures are not always 100% correct).

    • interval: a meta-package that install all above three.

  • Interval.T is a module signature to form the base of what is
    expected of any interval package.

  • New functions: invx (extended inverse), cancelminus,
    cancelplus, inter inter_exn, low, high.

  • New binary relations equal, =, subset, <=, >=, precedes,
    interior, <, >, strict_precedes, disjoint.

  • New predicates is_bounded, is_entire.

  • New constants I.half_pi ∋ π/2 and I.entire for [-∞, +∞].

  • Interval_crlibm: functions expm1, log1p, log2, log10,
    cospi, sinpi, tanpi, acospi, asinpi, atanpi, not present
    in the Intel version.

  • The module I.U also restores inequality relations.

  • Speed and documentation improvements.

1.4 2018-03-01

  • Improved interface for the Interval library by using sub-modules
    and standard mathematical names. In particular, all operations —
    including infix operators — are in a sub-module I which can
    conveniently be used to introduce local scopes after issuing open Interval.

  • Improved pretty-printing functions allowing to pass the format of
    the interval bounds.

  • The library functions now signal errors by exceptions
    Division_by_zero and Domain_error that are local to

  • The Fpu module has been redesigned: the rounding up or down of
    functions is controlled by the sub-module (Low or High) to which
    they belong. This allows for natural expressions such as
    Low.(x**2. +. 2. *. x +. 1.).

  • Jbuilder/dune is used to compile and install the library.

  • TravisCI and AppVeyor continuous integration ensure the library
    works on a variety of OCaml versions and platforms.