#lang racket/base ;;; Racket Science Collection ;;; machine.rkt ;;; Copyright (c) 2004-2011 M. Douglas Williams ;;; ;;; This file is part of the Racket Science Collection. ;;; ;;; The Racket Science Collection is free software: you can redistribute it ;;; and/or modify it under the terms of the GNU Lesser General Public License as ;;; published by the Free Software Foundation, either version 3 of the License or ;;; (at your option) any later version. ;;; ;;; The Racket Science Collection is distributed in the hope that it will be ;;; useful, but WITHOUT WARRANTY; without even the implied warranty of ;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser ;;; General Public License for more details. ;;; ;;; You should have received a copy of the GNU Lesser General Public License ;;; along with the Racket Science Collection. If not, see ;;; <http://www.gnu.org/licenses/>. ;;; ;;; ----------------------------------------------------------------------------- ;;; ;;; This code is based on the machine precision and limits constants in the GNU ;;; Scientific Library (GSL), which is licensed under the GPL. ;;; ;;; Version Date Description ;;; 0.1.0 08/14/04 This is the initial release of the machine constants ;;; ported from GSL. (MDW) ;;; 1.0.0 09/20/04 Marked as ready for Release 1.0 (MDW) ;;; 3.0.0 06/09/08 Changes required for PLT Scheme V4.0. (MDW) ;;; 4.0.0 05/12/10 Changed the header and restructured the code. (MDW) ;;; 4.0.1 04/22/11 Removed unused constants. (MDW) ;;; Magic constants; mostly for the benefit of the implementation. (define double-epsilon 2.2204460492503131e-16) (define sqrt-double-epsilon 1.4901161193847656e-08) (define root3-double-epsilon 6.0554544523933429e-06) (define root4-double-epsilon 1.2207031250000000e-04) (define root5-double-epsilon 7.4009597974140505e-04) (define root6-double-epsilon 2.4607833005759251e-03) (define log-double-epsilon -3.6043653389117154e+01) (define double-min 2.2250738585072014e-308) (define sqrt-double-min 1.4916681462400413e-154) (define root3-double-min 2.8126442852362996e-103) (define root4-double-min 1.2213386697554620e-77) (define root5-double-min 2.9476022969691763e-62) (define root6-double-min 5.3034368905798218e-52) (define log-double-min -7.0839641853226408e+02) (define double-max 1.7976931348623157e+308) (define sqrt-double-max 1.3407807929942596e+154) (define root3-double-max 5.6438030941222897e+102) (define root4-double-max 1.1579208923731620e+77) (define root5-double-max 4.4765466227572707e+61) (define root6-double-max 2.3756689782295612e+51) (define log-double-max 7.0978271289338397e+02) ;;; A little internal backwards compatibility. ;(define machine-eps double-epsilon) ;;; Here are constants related to or derived from ;;; machine constants. These are not to be confused with ;;; the constants that define various precision levels ;;; for the precision/error system. ;;; ;;; This information is determined at configure time ;;; and is platform dependent. Edit at your own risk. ;;; machine precision constants ;;; (define machine-eps 1.0e-15) ;(define sqrt-machine-eps 3.2e-08) ;(define root3-machine-eps 1.0e-05) ;(define root4-machine-eps 0.000178) ;(define root5-machine-eps 0.00100) ;(define root6-machine-eps 0.00316) ;(define log-machine-eps -34.54) ;;; Module Contracts (provide (all-defined-out))