--- /dev/null
+/* tremquo -- test file for mpfr_remquo and mpfr_remainder
+
+Copyright 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao 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 2.1 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.LIB. If not, 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"
+
+int
+main (int argc, char *argv[])
+{
+ mpfr_t x, y, r;
+ long q[1];
+
+ if (argc == 3) /* usage: tremquo x y (rnd=GMP_RNDN implicit) */
+ {
+ mpfr_init2 (x, BITS_PER_MP_LIMB);
+ mpfr_init2 (y, BITS_PER_MP_LIMB);
+ mpfr_init2 (r, BITS_PER_MP_LIMB);
+ mpfr_set_str (x, argv[1], 10, GMP_RNDN);
+ mpfr_set_str (y, argv[2], 10, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ printf ("r=");
+ mpfr_out_str (stdout, 10, 0, r, GMP_RNDN);
+ printf (" q=%ld\n", q[0]);
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (r);
+ return 0;
+ }
+
+ tests_start_mpfr ();
+
+ mpfr_init (x);
+ mpfr_init (y);
+ mpfr_init (r);
+
+ /* special values */
+ mpfr_set_nan (x);
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_nan_p (r));
+
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_set_nan (y);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_nan_p (r));
+
+ mpfr_set_inf (x, 1); /* +Inf */
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (r));
+
+ mpfr_set_inf (x, 1); /* +Inf */
+ mpfr_set_ui (y, 0, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (r));
+
+ mpfr_set_inf (x, 1); /* +Inf */
+ mpfr_set_inf (y, 1);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (r));
+
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_set_inf (y, 1);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_POS (r));
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_neg (x, x, GMP_RNDN); /* -0 */
+ mpfr_set_inf (y, 1);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_NEG (r));
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_set_inf (y, 1);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp (r, x) == 0);
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_set_ui (y, 0, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (r));
+
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_set_ui (y, 17, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_POS (r));
+ MPFR_ASSERTN (q[0] == (long) 0);
+
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_neg (x, x, GMP_RNDN);
+ mpfr_set_ui (y, 17, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_set_ui (y, 17, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (r, 8) == 0);
+ MPFR_ASSERTN (q[0] == (long) 2);
+ mpfr_set_si (x, -42, GMP_RNDN);
+ mpfr_set_ui (y, 17, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, -8) == 0);
+ MPFR_ASSERTN (q[0] == (long) -2);
+ mpfr_set_si (x, -42, GMP_RNDN);
+ mpfr_set_si (y, -17, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, -8) == 0);
+ MPFR_ASSERTN (q[0] == (long) 2);
+ mpfr_set_ui (x, 42, GMP_RNDN);
+ mpfr_set_si (y, -17, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_nextabove (x); /* 42 + 2^(-94) */
+ mpfr_set_ui (y, 21, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_nextabove (x); /* 42 + 2^(-44) */
+ mpfr_set_ui (y, 21, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_set_ui (y, 21, GMP_RNDN);
+ mpfr_nextabove (y); /* 21 + 2^(-45) */
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_set_ui (y, 21, GMP_RNDN);
+ mpfr_nextabove (y); /* 21 + 2^(-95) */
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ /* quotient is 2^65 */
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_mul_2exp (x, x, 63, GMP_RNDN);
+ mpfr_const_log2 (y, GMP_RNDN);
+ mpfr_set_prec (r, 10);
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_set_ui (y, 2, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN);
+ mpfr_nextabove (x); /* 3 + 2^(-63) */
+ mpfr_set_ui (y, 2, GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_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, GMP_RNDN) == 0);
+ MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 1, -63) == 0);
+ MPFR_ASSERTN (q[0] == 2L);
+ mpfr_set_ui (x, 3, GMP_RNDN);
+ mpfr_set_ui (y, 2, GMP_RNDN);
+ mpfr_nextabove (y); /* 2 + 2^(-63) */
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ /* x/y = 1.5 - eps, quo should be 1, r should be 1 - 2^(-63) */
+ MPFR_ASSERTN (mpfr_sub_ui (r, r, 1, GMP_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, GMP_RNDN);
+ mpfr_set_ui (y, 3, GMP_RNDN);
+ mpfr_remainder (r, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, -1) == 0);
+
+ mpfr_set_si (x, -1, GMP_RNDN);
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ mpfr_remainder (r, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (r, 0) == 0 && MPFR_SIGN (r) < 0);
+
+ /* check argument reuse */
+ mpfr_set_si (x, -1, GMP_RNDN);
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ mpfr_remainder (x, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si (x, 0) == 0 && MPFR_SIGN (x) < 0);
+
+ mpfr_set_ui_2exp (x, 1, mpfr_get_emax () - 1, GMP_RNDN);
+ mpfr_set_ui_2exp (y, 1, mpfr_get_emin (), GMP_RNDN);
+ mpfr_remquo (r, q, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_zero_p (r) && MPFR_SIGN (r) > 0);
+ MPFR_ASSERTN (q[0] == 0);
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (r);
+
+ tests_end_mpfr ();
+
+ return 0;
+}
projects / msp430-gcc.git / blobdiff