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;; -*-theme-d-*-
;; Copyright (C) 2008-2018, 2021 Tommi Höynälänmaa
;; Distributed under GNU Lesser General Public License version 3,
;; see file doc/LGPL-3.
(define-interface (standard-library real-math)
(import (standard-library core)
(standard-library rational))
;; The following values have been taken from the C math.h header.
(define gl-r-pi 3.14159265358979323846)
(define gl-r-pi/2 1.57079632679489661923)
(define gl-r-pi/4 0.78539816339744830962)
(define gl-r-1/pi 0.31830988618379067154)
(define gl-r-2/pi 0.63661977236758134308)
(define gl-r-2/sqrtpi 1.12837916709551257390)
(define gl-r-sqrt2 1.41421356237309504880)
(define gl-r-1/sqrt2 0.70710678118654752440)
(define gl-r-e 2.7182818284590452354)
(define gl-r-log2e 1.4426950408889634074)
(define gl-r-log10e 0.43429448190325182765)
(define gl-r-ln2 0.69314718055994530942)
(define gl-r-ln10 2.30258509299404568402)
;; Not sure if there are enough digits in the following two values.
(define gl-r-pi/ln10 1.3643763538418412)
(define gl-r-pi/ln2 4.5323601418271942)
(define <real-number> (:union <real> <rational> <integer>))
(declare-method rational->real (:simple-proc (<rational>) <real> pure))
(declare-method real-rational= (:simple-proc (<real> <rational>) <boolean> pure))
(declare-method rational-real= (:simple-proc (<rational> <real>) <boolean> pure))
(declare-method real-rational< (:simple-proc (<real> <rational>) <boolean> pure))
(declare-method rational-real< (:simple-proc (<rational> <real>) <boolean> pure))
(declare-method real-rational<= (:simple-proc (<real> <rational>) <boolean> pure))
(declare-method rational-real<= (:simple-proc (<rational> <real>) <boolean> pure))
(declare-method real-rational> (:simple-proc (<real> <rational>) <boolean> pure))
(declare-method rational-real> (:simple-proc (<rational> <real>) <boolean> pure))
(declare-method real-rational>= (:simple-proc (<real> <rational>) <boolean> pure))
(declare-method rational-real>= (:simple-proc (<rational> <real>) <boolean> pure))
(declare-method real-rational+ (:simple-proc (<real> <rational>) <real> pure))
(declare-method rational-real+ (:simple-proc (<rational> <real>) <real> pure))
(declare-method real-rational- (:simple-proc (<real> <rational>) <real> pure))
(declare-method rational-real- (:simple-proc (<rational> <real>) <real> pure))
(declare-method real-rational* (:simple-proc (<real> <rational>) <real> pure))
(declare-method rational-real* (:simple-proc (<rational> <real>) <real> pure))
(declare-method real-rational/ (:simple-proc (<real> <rational>) <real> pure))
(declare-method rational-real/ (:simple-proc (<rational> <real>) <real> pure))
(declare-virtual-method = (:simple-proc (<real-number> <real-number>) <boolean> pure))
(declare-virtual-method = (:simple-proc (<real> <rational>) <boolean> pure))
(declare-virtual-method = (:simple-proc (<rational> <real>) <boolean> pure))
(declare-virtual-method < (:simple-proc (<real-number> <real-number>) <boolean>
pure))
(declare-virtual-method < (:simple-proc (<real> <rational>) <boolean> pure))
(declare-virtual-method < (:simple-proc (<rational> <real>) <boolean> pure))
(declare-virtual-method <= (:simple-proc (<real-number> <real-number>) <boolean>
pure))
(declare-virtual-method <= (:simple-proc (<real> <rational>) <boolean> pure))
(declare-virtual-method <= (:simple-proc (<rational> <real>) <boolean> pure))
(declare-virtual-method > (:simple-proc (<real-number> <real-number>) <boolean>
pure))
(declare-virtual-method > (:simple-proc (<real> <rational>) <boolean> pure))
(declare-virtual-method > (:simple-proc (<rational> <real>) <boolean> pure))
(declare-virtual-method >= (:simple-proc (<real-number> <real-number>) <boolean>
pure))
(declare-virtual-method >= (:simple-proc (<real> <rational>) <boolean> pure))
(declare-virtual-method >= (:simple-proc (<rational> <real>) <boolean> pure))
(declare-virtual-method + (:simple-proc (<real-number> <real-number>) <real-number>
pure))
(declare-virtual-method + (:simple-proc (<real> <rational>) <real> pure))
(declare-virtual-method + (:simple-proc (<rational> <real>) <real> pure))
(declare-virtual-method - (:simple-proc (<real-number> <real-number>) <real-number>
pure))
(declare-virtual-method - (:simple-proc (<real> <rational>) <real> pure))
(declare-virtual-method - (:simple-proc (<rational> <real>) <real> pure))
(declare-virtual-method * (:simple-proc (<real-number> <real-number>) <real-number>
pure))
(declare-virtual-method * (:simple-proc (<real> <rational>) <real> pure))
(declare-virtual-method * (:simple-proc (<rational> <real>) <real> pure))
(declare-virtual-method / (:simple-proc (<real-number> <real-number>) <real-number>
pure))
(declare-virtual-method / (:simple-proc (<real> <rational>) <real> pure))
(declare-virtual-method / (:simple-proc (<rational> <real>) <real> pure))
(declare-virtual-method - (:simple-proc (<real-number>) <real-number> pure))
(declare-virtual-method abs (:simple-proc (<real-number>) <real-number> pure))
(declare-virtual-method square (:simple-proc (<real-number>) <real-number> pure))
(declare-virtual-method sign (:simple-proc (<real-number>) <integer> pure))
(declare-method r-sqrt (:simple-proc (<real>) <real> (pure)))
(declare-method r-expt (:simple-proc (<real> <real>) <real> (pure)))
(declare-method r-sin (:simple-proc (<real>) <real> (pure)))
(declare-method r-cos (:simple-proc (<real>) <real> (pure)))
(declare-method r-tan (:simple-proc (<real>) <real> (pure)))
(declare-method r-asin (:simple-proc (<real>) <real> (pure)))
(declare-method r-acos (:simple-proc (<real>) <real> (pure)))
(declare-method r-atan (:simple-proc (<real>) <real> (pure)))
(declare-method r-atan2 (:simple-proc (<real> <real>) <real> (pure)))
(declare-method r-exp (:simple-proc (<real>) <real> (pure)))
(declare-method r-log (:simple-proc (<real>) <real> (pure)))
(declare-method r-log10 (:simple-proc (<real>) <real> (pure)))
(declare-method r-sinh (:simple-proc (<real>) <real> (pure)))
(declare-method r-cosh (:simple-proc (<real>) <real> (pure)))
(declare-method r-tanh (:simple-proc (<real>) <real> (pure)))
(declare-method r-asinh (:simple-proc (<real>) <real> (pure)))
(declare-method r-acosh (:simple-proc (<real>) <real> (pure)))
(declare-method r-atanh (:simple-proc (<real>) <real> (pure)))
(declare-method i-sqrt (:simple-proc (<integer>) (:union <real> <integer>) pure))
(declare-method rat-sqrt (:simple-proc (<rational>)
(:union <real> <rational> <integer>) pure))
(declare-method string->real-number (:simple-proc (<string>) <real-number> pure)))
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