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-rw-r--r--mpfr/tests/tremquo.c301
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+/* tremquo -- test file for mpfr_remquo and mpfr_remainder
+
+Copyright 2007-2016 Free Software Foundation, Inc.
+Contributed by the AriC and Caramba projects, INRIA.
+
+This file is part of the GNU MPFR Library.
+
+The GNU MPFR Library 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 GNU MPFR Library is distributed in the hope that it will be useful, but
+WITHOUT ANY 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 GNU MPFR Library; see the file COPYING.LESSER. If not, see
+http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
+51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
+
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "mpfr-test.h"
+
+static void
+bug20090227 (void)
+{
+ mpfr_t x, y, r1, r2;
+
+ mpfr_init2 (x, 118);
+ mpfr_init2 (y, 181);
+ mpfr_init2 (r1, 140);
+ mpfr_init2 (r2, 140);
+ mpfr_set_si (x, -1, MPFR_RNDN);
+ mpfr_set_str_binary (y, "1.100100100001111110110101010001000100001011010001100001000110100110001001100011001100010100010111000000011011100000111001101000100101001000000100100111000001000100010100110011111010");
+ mpfr_remainder (r1, x, y, MPFR_RNDU);
+ /* since the quotient is -1, r1 is the rounding of x+y */
+ mpfr_add (r2, x, y, MPFR_RNDU);
+ if (mpfr_cmp (r1, r2))
+ {
+ printf ("Error in mpfr_remainder (bug20090227)\n");
+ printf ("Expected ");
+ mpfr_dump (r2);
+ printf ("Got ");
+ mpfr_dump (r1);
+ exit (1);
+ }
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (r1);
+ mpfr_clear (r2);
+}
+
+int
+main (int argc, char *argv[])
+{
+ mpfr_t x, y, r;
+ long q[1];
+ int inex;
+
+ if (argc == 3) /* usage: tremquo x y (rnd=MPFR_RNDN implicit) */
+ {
+ mpfr_init2 (x, GMP_NUMB_BITS);
+ mpfr_init2 (y, GMP_NUMB_BITS);
+ mpfr_init2 (r, GMP_NUMB_BITS);
+ mpfr_set_str (x, argv[1], 10, MPFR_RNDN);
+ mpfr_set_str (y, argv[2], 10, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ printf ("r=");
+ mpfr_out_str (stdout, 10, 0, r, MPFR_RNDN);
+ printf (" q=%ld\n", q[0]);
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (r);
+ return 0;
+ }
+
+ tests_start_mpfr ();
+
+ bug20090227 ();
+
+ mpfr_init (x);
+ mpfr_init (y);
+ mpfr_init (r);
+
+ /* special values */
+ mpfr_set_nan (x);
+ mpfr_set_ui (y, 1, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN(mpfr_nan_p (r));
+
+ mpfr_set_ui (x, 1, MPFR_RNDN);
+ mpfr_set_nan (y);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN(mpfr_nan_p (r));
+
+ mpfr_set_inf (x, 1); /* +Inf */
+ mpfr_set_ui (y, 1, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (r));
+
+ mpfr_set_inf (x, 1); /* +Inf */
+ mpfr_set_ui (y, 0, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (r));
+
+ mpfr_set_inf (x, 1); /* +Inf */
+ mpfr_set_inf (y, 1);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (r));
+
+ mpfr_set_ui (x, 0, MPFR_RNDN);
+ mpfr_set_inf (y, 1);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_POS (r));
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_ui (x, 0, MPFR_RNDN);
+ mpfr_neg (x, x, MPFR_RNDN); /* -0 */
+ mpfr_set_inf (y, 1);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_NEG (r));
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_ui (x, 17, MPFR_RNDN);
+ mpfr_set_inf (y, 1);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp (r, x) == 0);
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_ui (x, 17, MPFR_RNDN);
+ mpfr_set_ui (y, 0, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (r));
+
+ mpfr_set_ui (x, 0, MPFR_RNDN);
+ mpfr_set_ui (y, 17, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_POS (r));
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_ui (x, 0, MPFR_RNDN);
+ mpfr_neg (x, x, MPFR_RNDN);
+ mpfr_set_ui (y, 17, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_NEG (r));
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (y, 53);
+
+ /* check four possible sign combinations */
+ mpfr_set_ui (x, 42, MPFR_RNDN);
+ mpfr_set_ui (y, 17, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 8) == 0);
+ MPFR_ASSERTN (q[0] == (long) 2);
+ mpfr_set_si (x, -42, MPFR_RNDN);
+ mpfr_set_ui (y, 17, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, -8) == 0);
+ MPFR_ASSERTN (q[0] == (long) -2);
+ mpfr_set_si (x, -42, MPFR_RNDN);
+ mpfr_set_si (y, -17, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, -8) == 0);
+ MPFR_ASSERTN (q[0] == (long) 2);
+ mpfr_set_ui (x, 42, MPFR_RNDN);
+ mpfr_set_si (y, -17, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 8) == 0);
+ MPFR_ASSERTN (q[0] == (long) -2);
+
+ mpfr_set_prec (x, 100);
+ mpfr_set_prec (y, 50);
+ mpfr_set_ui (x, 42, MPFR_RNDN);
+ mpfr_nextabove (x); /* 42 + 2^(-94) */
+ mpfr_set_ui (y, 21, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 1, -94) == 0);
+ MPFR_ASSERTN (q[0] == (long) 2);
+
+ mpfr_set_prec (x, 50);
+ mpfr_set_prec (y, 100);
+ mpfr_set_ui (x, 42, MPFR_RNDN);
+ mpfr_nextabove (x); /* 42 + 2^(-44) */
+ mpfr_set_ui (y, 21, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 1, -44) == 0);
+ MPFR_ASSERTN (q[0] == (long) 2);
+
+ mpfr_set_prec (x, 100);
+ mpfr_set_prec (y, 50);
+ mpfr_set_ui (x, 42, MPFR_RNDN);
+ mpfr_set_ui (y, 21, MPFR_RNDN);
+ mpfr_nextabove (y); /* 21 + 2^(-45) */
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ /* r should be 42 - 2*(21 + 2^(-45)) = -2^(-44) */
+ MPFR_ASSERTN (mpfr_cmp_si_2exp (r, -1, -44) == 0);
+ MPFR_ASSERTN (q[0] == (long) 2);
+
+ mpfr_set_prec (x, 50);
+ mpfr_set_prec (y, 100);
+ mpfr_set_ui (x, 42, MPFR_RNDN);
+ mpfr_set_ui (y, 21, MPFR_RNDN);
+ mpfr_nextabove (y); /* 21 + 2^(-95) */
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ /* r should be 42 - 2*(21 + 2^(-95)) = -2^(-94) */
+ MPFR_ASSERTN (mpfr_cmp_si_2exp (r, -1, -94) == 0);
+ MPFR_ASSERTN (q[0] == (long) 2);
+
+ /* exercise large quotient */
+ mpfr_set_ui_2exp (x, 1, 65, MPFR_RNDN);
+ mpfr_set_ui (y, 1, MPFR_RNDN);
+ /* quotient is 2^65 */
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, 0) == 0);
+ MPFR_ASSERTN (q[0] % 1073741824L == 0L);
+
+ /* another large quotient */
+ mpfr_set_prec (x, 65);
+ mpfr_set_prec (y, 65);
+ mpfr_const_pi (x, MPFR_RNDN);
+ mpfr_mul_2exp (x, x, 63, MPFR_RNDN);
+ mpfr_const_log2 (y, MPFR_RNDN);
+ mpfr_set_prec (r, 10);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ /* q should be 41803643793084085130, r should be 605/2048 */
+ MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 605, -11) == 0);
+ MPFR_ASSERTN ((q[0] > 0) && ((q[0] % 1073741824L) == 733836170L));
+
+ /* check cases where quotient is 1.5 +/- eps */
+ mpfr_set_prec (x, 65);
+ mpfr_set_prec (y, 65);
+ mpfr_set_prec (r, 63);
+ mpfr_set_ui (x, 3, MPFR_RNDN);
+ mpfr_set_ui (y, 2, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ /* x/y = 1.5, quotient should be 2 (even rule), remainder should be -1 */
+ MPFR_ASSERTN (mpfr_cmp_si (r, -1) == 0);
+ MPFR_ASSERTN (q[0] == 2L);
+ mpfr_set_ui (x, 3, MPFR_RNDN);
+ mpfr_nextabove (x); /* 3 + 2^(-63) */
+ mpfr_set_ui (y, 2, MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ /* x/y = 1.5 + 2^(-64), quo should be 2, r should be -1 + 2^(-63) */
+ MPFR_ASSERTN (mpfr_add_ui (r, r, 1, MPFR_RNDN) == 0);
+ MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 1, -63) == 0);
+ MPFR_ASSERTN (q[0] == 2L);
+ mpfr_set_ui (x, 3, MPFR_RNDN);
+ mpfr_set_ui (y, 2, MPFR_RNDN);
+ mpfr_nextabove (y); /* 2 + 2^(-63) */
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ /* x/y = 1.5 - eps, quo should be 1, r should be 1 - 2^(-63) */
+ MPFR_ASSERTN (mpfr_sub_ui (r, r, 1, MPFR_RNDN) == 0);
+ MPFR_ASSERTN (mpfr_cmp_si_2exp (r, -1, -63) == 0);
+ MPFR_ASSERTN (q[0] == 1L);
+
+ /* bug founds by Kaveh Ghazi, 3 May 2007 */
+ mpfr_set_ui (x, 2, MPFR_RNDN);
+ mpfr_set_ui (y, 3, MPFR_RNDN);
+ mpfr_remainder (r, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, -1) == 0);
+
+ mpfr_set_si (x, -1, MPFR_RNDN);
+ mpfr_set_ui (y, 1, MPFR_RNDN);
+ mpfr_remainder (r, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, 0) == 0 && MPFR_SIGN (r) < 0);
+
+ /* check argument reuse */
+ mpfr_set_si (x, -1, MPFR_RNDN);
+ mpfr_set_ui (y, 1, MPFR_RNDN);
+ mpfr_remainder (x, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (x, 0) == 0 && MPFR_SIGN (x) < 0);
+
+ mpfr_set_ui_2exp (x, 1, mpfr_get_emax () - 1, MPFR_RNDN);
+ mpfr_set_ui_2exp (y, 1, mpfr_get_emin (), MPFR_RNDN);
+ mpfr_remquo (r, q, x, y, MPFR_RNDN);
+ MPFR_ASSERTN (mpfr_zero_p (r) && MPFR_SIGN (r) > 0);
+ MPFR_ASSERTN (q[0] == 0);
+
+ mpfr_set_prec (x, 380);
+ mpfr_set_prec (y, 385);
+ mpfr_set_str_binary (x, "0.11011010010110011101011000100100101100101011010001011100110001100101111001010100001011111110111100101110101010110011010101000100000100011101101100001011101110100111101111111010001001000010000110010110011100111000001110111010000100101001010111100100010001101001110100011110010000000001110001111001101100111011001000110110011100100011111110010100011001000001001011010111010000000000E-2");
+ mpfr_set_str_binary (y, "0.1100011000011101011010001100010111001110110111001101010010111100111100011010010011011101111101111001010111111110001001100001111101001000000010100101111001001110010110000111001000101010111001001000100101011111000010100110001111000110011011010101111101100110010101011010011101100001011101001000101111110110110110000001001101110111110110111110111111001001011110001110011111100000000000000E-1");
+ mpfr_set_prec (r, 2);
+ inex = mpfr_remainder (r, x, y, MPFR_RNDA);
+ MPFR_ASSERTN(mpfr_cmp_si_2exp (r, -3, -4) == 0);
+ MPFR_ASSERTN(inex < 0);
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (r);
+
+ tests_end_mpfr ();
+
+ return 0;
+}
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