File: float64_31.ml

package info (click to toggle)
coq 8.16.1%2Bdfsg-1
  • links: PTS, VCS
  • area: main
  • in suites: bookworm
  • size: 40,596 kB
  • sloc: ml: 219,376; sh: 3,545; python: 3,231; ansic: 2,529; makefile: 767; lisp: 279; javascript: 63; xml: 24; sed: 2
file content (35 lines) | stat: -rw-r--r-- 1,559 bytes parent folder | download | duplicates (4)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
(************************************************************************)
(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)

include Float64_common

external mul : float -> float -> float = "coq_fmul_byte" "coq_fmul"
[@@unboxed] [@@noalloc]

external add : float -> float -> float = "coq_fadd_byte" "coq_fadd"
[@@unboxed] [@@noalloc]

external sub : float -> float -> float = "coq_fsub_byte" "coq_fsub"
[@@unboxed] [@@noalloc]

external div : float -> float -> float = "coq_fdiv_byte" "coq_fdiv"
[@@unboxed] [@@noalloc]

external sqrt : float -> float = "coq_fsqrt_byte" "coq_fsqrt"
[@@unboxed] [@@noalloc]

(*** Test at runtime that no harmful double rounding seems to
   be performed with an intermediate 80 bits representation (x87). *)
let () =
  let b = ldexp 1. 53 in
  let s = add 1. (ldexp 1. (-52)) in
  if add b s <= b || add b 1. <> b || ldexp 1. (-1074) <= 0. then
    failwith "Detected non IEEE-754 compliant architecture (or wrong \
              rounding mode). Use of Float is thus unsafe."