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b01818d752
library. * module/Makefile.am: Add rnrs/arithmetic/6/fixnums.scm and rnrs/arithmetic/6/flonums.scm to RNRS_SOURCES. * module/rnrs/6/base.scm: (div-and-mod, div0, mod0, div0-and-mod0): New functions; this `div' implementation is not quite right, but we'll come back to it later. * module/rnrs/arithmetic/6/fixnums.scm: New file. * module/rnrs/arithmetic/6/flonums.scm: New file. * test-suite/Makefile.am: Add tests/r6rs-arithmetic-flonums.test to SCM_TESTS. * test-suite/tests/r6rs-arithmetic-flonums.test: New file.
216 lines
6.5 KiB
Scheme
216 lines
6.5 KiB
Scheme
;;; flonums.scm --- The R6RS flonums arithmetic library
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;; Copyright (C) 2010 Free Software Foundation, Inc.
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;;
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;; This library is free software; you can redistribute it and/or
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;; modify it under the terms of the GNU Lesser General Public
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;; License as published by the Free Software Foundation; either
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;; version 3 of the License, or (at your option) any later version.
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;;
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;; This library is distributed in the hope that it will be useful,
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;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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;; Lesser General Public License for more details.
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;;
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;; You should have received a copy of the GNU Lesser General Public
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;; License along with this library; if not, write to the Free Software
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;; Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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(library (rnrs arithmetic flonums (6))
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(export flonum?
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real->flonum
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fl=? fl<? fl<=? fl>? fl>=?
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flinteger? flzero? flpositive? flnegative? flodd? fleven? flfinite?
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flinfinite? flnan?
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flmax flmin
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fl+ fl* fl- fl/
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flabs
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fldiv-and-mod
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fldiv
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flmod
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fldiv0-and-mod0
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fldiv0
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flmod0
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flnumerator
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fldenominator
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flfloor flceiling fltruncate flround
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flexp fllog flsin flcos fltan flacos flasin flatan
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flsqrt flexpt
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&no-infinities
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make-no-infinities-violation
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no-infinities-violation?
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&no-nans
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make-no-nans-violation
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no-nans-violation?
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fixnum->flonum)
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(import (ice-9 optargs)
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(only (guile) inf?)
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(rnrs arithmetic fixnums (6))
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(rnrs base (6))
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(rnrs conditions (6))
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(rnrs exceptions (6))
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(rnrs lists (6))
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(rnrs r5rs (6)))
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(define (flonum? obj) (and (number? obj) (inexact? obj)))
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(define (assert-flonum . args)
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(or (for-all flonum? args) (raise (make-assertion-violation))))
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(define (assert-iflonum . args)
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(or (for-all (lambda (i) (and (flonum? i) (integer? i))) args)
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(raise (make-assertion-violation))))
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(define (real->flonum x)
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(or (real? x) (raise (make-assertion-violation)))
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(exact->inexact x))
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(define (fl=? . args) (apply assert-flonum args) (apply = args))
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(define (fl<? . args) (apply assert-flonum args) (apply < args))
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(define (fl<=? . args) (apply assert-flonum args) (apply <= args))
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(define (fl>? . args) (apply assert-flonum args) (apply > args))
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(define (fl>=? . args) (apply assert-flonum args) (apply >= args))
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(define (flinteger? fl) (assert-flonum fl) (integer? fl))
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(define (flzero? fl) (assert-flonum fl) (zero? fl))
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(define (flpositive? fl) (assert-flonum fl) (positive? fl))
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(define (flnegative? fl) (assert-flonum fl) (negative? fl))
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(define (flodd? ifl) (assert-iflonum ifl) (odd? ifl))
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(define (fleven? ifl) (assert-iflonum ifl) (even? ifl))
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(define (flfinite? fl) (assert-flonum fl) (not (inf? fl)))
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(define (flinfinite? fl) (assert-flonum fl) (inf? fl))
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(define (flnan? fl) (assert-flonum fl) (nan? fl))
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(define (flmax fl1 . args)
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(let ((flargs (cons fl1 args)))
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(apply assert-flonum flargs)
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(apply max flargs)))
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(define (flmin fl1 . args)
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(let ((flargs (cons fl1 args)))
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(apply assert-flonum flargs)
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(apply min flargs)))
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(define (fl+ fl1 . args)
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(let ((flargs (cons fl1 args)))
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(apply assert-flonum flargs)
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(apply + flargs)))
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(define (fl* fl1 . args)
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(let ((flargs (cons fl1 args)))
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(apply assert-flonum flargs)
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(apply * flargs)))
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(define (fl- fl1 . args)
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(let ((flargs (cons fl1 args)))
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(apply assert-flonum flargs)
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(apply - flargs)))
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(define (fl/ fl1 . args)
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(let ((flargs (cons fl1 args)))
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(apply assert-flonum flargs)
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(apply / flargs)))
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(define (flabs fl) (assert-flonum fl) (abs fl))
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(define (fldiv-and-mod fl1 fl2)
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(assert-iflonum fl1 fl2)
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(if (zero? fl2) (raise (make-assertion-violation)))
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(let ((fx1 (inexact->exact fl1))
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(fx2 (inexact->exact fl2)))
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(call-with-values (lambda () (div-and-mod fx1 fx2))
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(lambda (div mod) (values (exact->inexact div)
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(exact->inexact mod))))))
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(define (fldiv fl1 fl2)
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(assert-iflonum fl1 fl2)
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(if (zero? fl2) (raise (make-assertion-violation)))
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(let ((fx1 (inexact->exact fl1))
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(fx2 (inexact->exact fl2)))
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(exact->inexact (quotient fx1 fx2))))
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(define (flmod fl1 fl2)
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(assert-iflonum fl1 fl2)
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(if (zero? fl2) (raise (make-assertion-violation)))
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(let ((fx1 (inexact->exact fl1))
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(fx2 (inexact->exact fl2)))
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(exact->inexact (modulo fx1 fx2))))
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(define (fldiv0-and-mod0 fl1 fl2)
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(assert-iflonum fl1 fl2)
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(if (zero? fl2) (raise (make-assertion-violation)))
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(let* ((fx1 (inexact->exact fl1))
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(fx2 (inexact->exact fl2)))
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(call-with-values (lambda () (div0-and-mod0 fx1 fx2))
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(lambda (q r) (values (real->flonum q) (real->flonum r))))))
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(define (fldiv0 fl1 fl2)
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(call-with-values (lambda () (fldiv0-and-mod0 fl1 fl2)) (lambda (q r) q)))
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(define (flmod0 fl1 fl2)
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(call-with-values (lambda () (fldiv0-and-mod0 fl1 fl2)) (lambda (q r) r)))
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(define (flnumerator fl)
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(assert-flonum fl)
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(case fl
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((+inf.0) +inf.0)
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((-inf.0) -inf.0)
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(else (numerator fl))))
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(define (fldenominator fl)
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(assert-flonum fl)
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(case fl
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((+inf.0) 1.0)
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((-inf.0) 1.0)
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(else (denominator fl))))
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(define (flfloor fl) (assert-flonum fl) (floor fl))
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(define (flceiling fl) (assert-flonum fl) (ceiling fl))
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(define (fltruncate fl) (assert-flonum fl) (truncate fl))
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(define (flround fl) (assert-flonum fl) (round fl))
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(define (flexp fl) (assert-flonum fl) (exp fl))
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(define* (fllog fl #:optional fl2)
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(assert-flonum fl)
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(cond ((fl=? fl -inf.0) +nan.0)
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(fl2 (begin (assert-flonum fl2) (/ (log fl) (log fl2))))
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(else (log fl))))
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(define (flsin fl) (assert-flonum fl) (sin fl))
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(define (flcos fl) (assert-flonum fl) (cos fl))
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(define (fltan fl) (assert-flonum fl) (tan fl))
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(define (flasin fl) (assert-flonum fl) (asin fl))
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(define (flacos fl) (assert-flonum fl) (acos fl))
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(define* (flatan fl #:optional fl2)
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(assert-flonum fl)
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(if fl2 (begin (assert-flonum fl2) (atan fl fl2)) (atan fl)))
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(define (flsqrt fl) (assert-flonum fl) (sqrt fl))
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(define (flexpt fl1 fl2) (assert-flonum fl1 fl2) (expt fl1 fl2))
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(define-condition-type &no-infinities
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&implementation-restriction
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make-no-infinities-violation
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no-infinities-violation?)
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(define-condition-type &no-nans
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&implementation-restriction
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make-no-nans-violation
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no-nans-violation?)
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(define (fixnum->flonum fx)
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(or (fixnum? fx) (raise (make-assertion-violation)))
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(exact->inexact fx))
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)
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