Add two new sets of fast quotient and remainder operators
* libguile/numbers.c (scm_euclidean_quo_and_rem, scm_euclidean_quotient, scm_euclidean_remainder, scm_centered_quo_and_rem, scm_centered_quotient, scm_centered_remainder): New extensible procedures `euclidean/', `euclidean-quotient', `euclidean-remainder', `centered/', `centered-quotient', `centered-remainder'. * libguile/numbers.h: Add function prototypes. * module/rnrs/base.scm: Remove incorrect stub implementations of `div', `mod', `div-and-mod', `div0', `mod0', and `div0-and-mod0'. Instead do renaming imports of `euclidean-quotient', `euclidean-remainder', `euclidean/', `centered-quotient', `centered-remainder', and `centered/', which are equivalent to the R6RS operators. * module/rnrs/arithmetic/fixnums.scm (fxdiv, fxmod, fxdiv-and-mod, fxdiv0, fxmod0, fxdiv0-and-mod0): Remove redundant checks for division by zero and unnecessary complexity. (fx+/carry): Remove unneeded calls to `inexact->exact'. * module/rnrs/arithmetic/flonums.scm (fldiv, flmod, fldiv-and-mod, fldiv0, flmod0, fldiv0-and-mod0): Remove redundant checks for division by zero and unnecessary complexity. Remove unneeded calls to `inexact->exact' and `exact->inexact' * test-suite/tests/numbers.test: (test-eqv?): New internal predicate for comparing numerical outputs with expected values. Add extensive test code for `euclidean/', `euclidean-quotient', `euclidean-remainder', `centered/', `centered-quotient', `centered-remainder'. * test-suite/tests/r6rs-arithmetic-fixnums.test: Fix some broken test cases, and remove `unresolved' test markers for `fxdiv', `fxmod', `fxdiv-and-mod', `fxdiv0', `fxmod0', and `fxdiv0-and-mod0'. * test-suite/tests/r6rs-arithmetic-flonums.test: Remove `unresolved' test markers for `fldiv', `flmod', `fldiv-and-mod', `fldiv0', `flmod0', and `fldiv0-and-mod0'. * doc/ref/api-data.texi (Arithmetic): Document `euclidean/', `euclidean-quotient', `euclidean-remainder', `centered/', `centered-quotient', and `centered-remainder'. (Operations on Integer Values): Add cross-references to `euclidean/' et al, from `quotient', `remainder', and `modulo'. * doc/ref/r6rs.texi (rnrs base): Improve documentation for `div', `mod', `div-and-mod', `div0', `mod0', and `div0-and-mod0'. Add cross-references to `euclidean/' et al. * NEWS: Add NEWS entry.
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11 changed files with 1603 additions and 90 deletions
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;;; fixnums.scm --- The R6RS fixnums arithmetic library
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;; Copyright (C) 2010 Free Software Foundation, Inc.
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;; Copyright (C) 2010, 2011 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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@ -175,40 +175,33 @@
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(define (fxdiv fx1 fx2)
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(assert-fixnum fx1 fx2)
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(if (zero? fx2) (raise (make-assertion-violation)))
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(let ((r (div fx1 fx2))) r))
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(div fx1 fx2))
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(define (fxmod fx1 fx2)
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(assert-fixnum fx1 fx2)
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(if (zero? fx2) (raise (make-assertion-violation)))
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(let ((r (mod fx1 fx2))) r))
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(mod fx1 fx2))
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(define (fxdiv-and-mod fx1 fx2)
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(assert-fixnum fx1 fx2)
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(if (zero? fx2) (raise (make-assertion-violation)))
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(div-and-mod fx1 fx2))
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(define (fxdiv0 fx1 fx2)
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(assert-fixnum fx1 fx2)
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(if (zero? fx2) (raise (make-assertion-violation)))
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(let ((r (div0 fx1 fx2))) r))
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(div0 fx1 fx2))
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(define (fxmod0 fx1 fx2)
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(assert-fixnum fx1 fx2)
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(if (zero? fx2) (raise (make-assertion-violation)))
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(let ((r (mod0 fx1 fx2))) r))
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(mod0 fx1 fx2))
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(define (fxdiv0-and-mod0 fx1 fx2)
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(assert-fixnum fx1 fx2)
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(if (zero? fx2) (raise (make-assertion-violation)))
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(call-with-values (lambda () (div0-and-mod0 fx1 fx2))
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(lambda (q r) (values q r))))
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(div0-and-mod0 fx1 fx2))
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(define (fx+/carry fx1 fx2 fx3)
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(assert-fixnum fx1 fx2 fx3)
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(let* ((s (+ fx1 fx2 fx3))
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(s0 (mod0 s (inexact->exact (expt 2 (fixnum-width)))))
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(s1 (div0 s (inexact->exact (expt 2 (fixnum-width))))))
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(s0 (mod0 s (expt 2 (fixnum-width))))
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(s1 (div0 s (expt 2 (fixnum-width)))))
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(values s0 s1)))
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(define (fx-/carry fx1 fx2 fx3)
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@ -1,6 +1,6 @@
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;;; flonums.scm --- The R6RS flonums arithmetic library
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;; Copyright (C) 2010 Free Software Foundation, Inc.
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;; Copyright (C) 2010, 2011 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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@ -127,40 +127,27 @@
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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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(div-and-mod fl1 fl2))
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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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(div fl1 fl2))
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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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(mod fl1 fl2))
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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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(div0-and-mod0 fl1 fl2))
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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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(assert-iflonum fl1 fl2)
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(div0 fl1 fl2))
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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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(assert-iflonum fl1 fl2)
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(mod0 fl1 fl2))
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(define (flnumerator fl)
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(assert-flonum fl)
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