--- /dev/null
+/* Test file for mpfr_mul.
+
+Copyright 1999, 2001, 2002, 2003, 2004, 2005, 2006, 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"
+
+#ifndef MPFR_SRCDIR
+#define MPFR_SRCDIR .
+#endif
+#define QUOTE(X) NAME(X)
+#define NAME(X) #X
+
+#ifdef CHECK_EXTERNAL
+static int
+test_mul (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mp_rnd_t rnd_mode)
+{
+ int res;
+ int ok = rnd_mode == GMP_RNDN && mpfr_number_p (b) && mpfr_number_p (c);
+ if (ok)
+ {
+ mpfr_print_raw (b);
+ printf (" ");
+ mpfr_print_raw (c);
+ }
+ res = mpfr_mul (a, b, c, rnd_mode);
+ if (ok)
+ {
+ printf (" ");
+ mpfr_print_raw (a);
+ printf ("\n");
+ }
+ return res;
+}
+#else
+#define test_mul mpfr_mul
+#endif
+
+/* Workaround for sparc gcc 2.95.x bug, see notes in tadd.c. */
+#define check(x,y,rnd_mode,px,py,pz,res) pcheck(x,y,res,rnd_mode,px,py,pz)
+
+/* checks that x*y gives the right result */
+static void
+pcheck (const char *xs, const char *ys, const char *res, mp_rnd_t rnd_mode,
+ unsigned int px, unsigned int py, unsigned int pz)
+{
+ mpfr_t xx, yy, zz;
+
+ mpfr_init2 (xx, px);
+ mpfr_init2 (yy, py);
+ mpfr_init2 (zz, pz);
+ mpfr_set_str1 (xx, xs);
+ mpfr_set_str1 (yy, ys);
+ test_mul(zz, xx, yy, rnd_mode);
+ if (mpfr_cmp_str1 (zz, res) )
+ {
+ printf ("(1)mpfr_mul failed for x=%s y=%s with rnd=%s\n",
+ xs, ys, mpfr_print_rnd_mode (rnd_mode));
+ printf ("correct is %s, mpfr_mul gives ", res);
+ mpfr_out_str(stdout, 10, 0, zz, GMP_RNDN);
+ /*
+ printf("\nBinary forms:\nxx=");
+ mpfr_print_binary (xx);
+ printf("\nyy=");
+ mpfr_print_binary (yy);
+ printf("\nzz=");
+ mpfr_print_binary(zz);
+ printf("\nre=");
+ mpfr_set_str1 (zz, res);
+ mpfr_print_binary(zz);
+ putchar('\n');*/
+ exit (1);
+ }
+ mpfr_clear(xx); mpfr_clear(yy); mpfr_clear(zz);
+}
+
+static void
+check53 (const char *xs, const char *ys, mp_rnd_t rnd_mode, const char *zs)
+{
+ mpfr_t xx, yy, zz;
+
+ mpfr_inits2 (53, xx, yy, zz, (mpfr_ptr) 0);
+ mpfr_set_str1 (xx, xs);
+ mpfr_set_str1 (yy, ys);
+ test_mul (zz, xx, yy, rnd_mode);
+ if (mpfr_cmp_str1 (zz, zs) )
+ {
+ printf ("(2) mpfr_mul failed for x=%s y=%s with rnd=%s\n",
+ xs, ys, mpfr_print_rnd_mode(rnd_mode));
+ printf ("correct result is %s,\n mpfr_mul gives ", zs);
+ mpfr_out_str(stdout, 10, 0, zz, GMP_RNDN);
+ /*
+ printf("\nBinary forms:\nxx=");
+ mpfr_print_binary (xx);
+ printf("\nyy=");
+ mpfr_print_binary (yy);
+ printf("\nzz=");
+ mpfr_print_binary(zz);
+ printf("\nre=");
+ mpfr_set_str1 (zz, zs);
+ mpfr_print_binary(zz);
+ putchar('\n'); */
+ exit (1);
+ }
+ mpfr_clears (xx, yy, zz, (mpfr_ptr) 0);
+}
+
+/* checks that x*y gives the right result with 24 bits of precision */
+static void
+check24 (const char *xs, const char *ys, mp_rnd_t rnd_mode, const char *zs)
+{
+ mpfr_t xx, yy, zz;
+
+ mpfr_inits2 (24, xx, yy, zz, (mpfr_ptr) 0);
+ mpfr_set_str1 (xx, xs);
+ mpfr_set_str1 (yy, ys);
+ test_mul (zz, xx, yy, rnd_mode);
+ if (mpfr_cmp_str1 (zz, zs) )
+ {
+ printf ("(3) mpfr_mul failed for x=%s y=%s with "
+ "rnd=%s\n", xs, ys, mpfr_print_rnd_mode(rnd_mode));
+ printf ("correct result is gives %s, mpfr_mul gives ", zs);
+ mpfr_out_str(stdout, 10, 0, zz, GMP_RNDN);
+ putchar('\n');
+ exit (1);
+ }
+ mpfr_clears (xx, yy, zz, (mpfr_ptr) 0);
+}
+
+/* the following examples come from the paper "Number-theoretic Test
+ Generation for Directed Rounding" from Michael Parks, Table 1 */
+static void
+check_float (void)
+{
+ check24("8388609.0", "8388609.0", GMP_RNDN, "70368760954880.0");
+ check24("16777213.0", "8388609.0", GMP_RNDN, "140737479966720.0");
+ check24("8388611.0", "8388609.0", GMP_RNDN, "70368777732096.0");
+ check24("12582911.0", "8388610.0", GMP_RNDN, "105553133043712.0");
+ check24("12582914.0", "8388610.0", GMP_RNDN, "105553158209536.0");
+ check24("13981013.0", "8388611.0", GMP_RNDN, "117281279442944.0");
+ check24("11184811.0", "8388611.0", GMP_RNDN, "93825028587520.0");
+ check24("11184810.0", "8388611.0", GMP_RNDN, "93825020198912.0");
+ check24("13981014.0", "8388611.0", GMP_RNDN, "117281287831552.0");
+
+ check24("8388609.0", "8388609.0", GMP_RNDZ, "70368760954880.0");
+ check24("16777213.0", "8388609.0", GMP_RNDZ, "140737471578112.0");
+ check24("8388611.0", "8388609.0", GMP_RNDZ, "70368777732096.0");
+ check24("12582911.0", "8388610.0", GMP_RNDZ, "105553124655104.0");
+ check24("12582914.0", "8388610.0", GMP_RNDZ, "105553158209536.0");
+ check24("13981013.0", "8388611.0", GMP_RNDZ, "117281271054336.0");
+ check24("11184811.0", "8388611.0", GMP_RNDZ, "93825028587520.0");
+ check24("11184810.0", "8388611.0", GMP_RNDZ, "93825011810304.0");
+ check24("13981014.0", "8388611.0", GMP_RNDZ, "117281287831552.0");
+
+ check24("8388609.0", "8388609.0", GMP_RNDU, "70368769343488.0");
+ check24("16777213.0", "8388609.0", GMP_RNDU, "140737479966720.0");
+ check24("8388611.0", "8388609.0", GMP_RNDU, "70368786120704.0");
+ check24("12582911.0", "8388610.0", GMP_RNDU, "105553133043712.0");
+ check24("12582914.0", "8388610.0", GMP_RNDU, "105553166598144.0");
+ check24("13981013.0", "8388611.0", GMP_RNDU, "117281279442944.0");
+ check24("11184811.0", "8388611.0", GMP_RNDU, "93825036976128.0");
+ check24("11184810.0", "8388611.0", GMP_RNDU, "93825020198912.0");
+ check24("13981014.0", "8388611.0", GMP_RNDU, "117281296220160.0");
+
+ check24("8388609.0", "8388609.0", GMP_RNDD, "70368760954880.0");
+ check24("16777213.0", "8388609.0", GMP_RNDD, "140737471578112.0");
+ check24("8388611.0", "8388609.0", GMP_RNDD, "70368777732096.0");
+ check24("12582911.0", "8388610.0", GMP_RNDD, "105553124655104.0");
+ check24("12582914.0", "8388610.0", GMP_RNDD, "105553158209536.0");
+ check24("13981013.0", "8388611.0", GMP_RNDD, "117281271054336.0");
+ check24("11184811.0", "8388611.0", GMP_RNDD, "93825028587520.0");
+ check24("11184810.0", "8388611.0", GMP_RNDD, "93825011810304.0");
+ check24("13981014.0", "8388611.0", GMP_RNDD, "117281287831552.0");
+}
+
+/* check sign of result */
+static void
+check_sign (void)
+{
+ mpfr_t a, b;
+
+ mpfr_init2 (a, 53);
+ mpfr_init2 (b, 53);
+ mpfr_set_si (a, -1, GMP_RNDN);
+ mpfr_set_ui (b, 2, GMP_RNDN);
+ test_mul(a, b, b, GMP_RNDN);
+ if (mpfr_cmp_ui (a, 4) )
+ {
+ printf ("2.0*2.0 gives \n");
+ mpfr_out_str(stdout, 10, 0, a, GMP_RNDN);
+ putchar('\n');
+ exit (1);
+ }
+ mpfr_clear(a); mpfr_clear(b);
+}
+
+/* checks that the inexact return value is correct */
+static void
+check_exact (void)
+{
+ mpfr_t a, b, c, d;
+ mp_prec_t prec;
+ int i, inexact;
+ mp_rnd_t rnd;
+
+ mpfr_init (a);
+ mpfr_init (b);
+ mpfr_init (c);
+ mpfr_init (d);
+
+ mpfr_set_prec (a, 17);
+ mpfr_set_prec (b, 17);
+ mpfr_set_prec (c, 32);
+ mpfr_set_str_binary (a, "1.1000111011000100e-1");
+ mpfr_set_str_binary (b, "1.0010001111100111e-1");
+ if (test_mul (c, a, b, GMP_RNDZ))
+ {
+ printf ("wrong return value (1)\n");
+ exit (1);
+ }
+
+ for (prec = 2; prec < 100; prec++)
+ {
+ mpfr_set_prec (a, prec);
+ mpfr_set_prec (b, prec);
+ mpfr_set_prec (c, 2 * prec - 2);
+ mpfr_set_prec (d, 2 * prec);
+ for (i = 0; i < 1000; i++)
+ {
+ mpfr_urandomb (a, RANDS);
+ mpfr_urandomb (b, RANDS);
+ rnd = RND_RAND ();
+ inexact = test_mul (c, a, b, rnd);
+ if (test_mul (d, a, b, rnd)) /* should be always exact */
+ {
+ printf ("unexpected inexact return value\n");
+ exit (1);
+ }
+ if ((inexact == 0) && mpfr_cmp (c, d))
+ {
+ printf ("inexact=0 but results differ\n");
+ exit (1);
+ }
+ else if (inexact && (mpfr_cmp (c, d) == 0))
+ {
+ printf ("inexact!=0 but results agree\n");
+ printf ("prec=%u rnd=%s a=", (unsigned int) prec,
+ mpfr_print_rnd_mode (rnd));
+ mpfr_out_str (stdout, 2, 0, a, rnd);
+ printf ("\nb=");
+ mpfr_out_str (stdout, 2, 0, b, rnd);
+ printf ("\nc=");
+ mpfr_out_str (stdout, 2, 0, c, rnd);
+ printf ("\nd=");
+ mpfr_out_str (stdout, 2, 0, d, rnd);
+ printf ("\n");
+ exit (1);
+ }
+ }
+ }
+
+ mpfr_clear (a);
+ mpfr_clear (b);
+ mpfr_clear (c);
+ mpfr_clear (d);
+}
+
+static void
+check_max(void)
+{
+ mpfr_t xx, yy, zz;
+ mp_exp_t emin;
+
+ mpfr_init2(xx, 4);
+ mpfr_init2(yy, 4);
+ mpfr_init2(zz, 4);
+ mpfr_set_str1 (xx, "0.68750");
+ mpfr_mul_2si(xx, xx, MPFR_EMAX_DEFAULT/2, GMP_RNDN);
+ mpfr_set_str1 (yy, "0.68750");
+ mpfr_mul_2si(yy, yy, MPFR_EMAX_DEFAULT - MPFR_EMAX_DEFAULT/2 + 1, GMP_RNDN);
+ mpfr_clear_flags();
+ test_mul(zz, xx, yy, GMP_RNDU);
+ if (!(mpfr_overflow_p() && MPFR_IS_INF(zz)))
+ {
+ printf("check_max failed (should be an overflow)\n");
+ exit(1);
+ }
+
+ mpfr_clear_flags();
+ test_mul(zz, xx, yy, GMP_RNDD);
+ if (mpfr_overflow_p() || MPFR_IS_INF(zz))
+ {
+ printf("check_max failed (should NOT be an overflow)\n");
+ exit(1);
+ }
+ mpfr_set_str1 (xx, "0.93750");
+ mpfr_mul_2si(xx, xx, MPFR_EMAX_DEFAULT, GMP_RNDN);
+ if (!(MPFR_IS_FP(xx) && MPFR_IS_FP(zz)))
+ {
+ printf("check_max failed (internal error)\n");
+ exit(1);
+ }
+ if (mpfr_cmp(xx, zz) != 0)
+ {
+ printf("check_max failed: got ");
+ mpfr_out_str(stdout, 2, 0, zz, GMP_RNDZ);
+ printf(" instead of ");
+ mpfr_out_str(stdout, 2, 0, xx, GMP_RNDZ);
+ printf("\n");
+ exit(1);
+ }
+
+ /* check underflow */
+ emin = mpfr_get_emin ();
+ set_emin (0);
+ mpfr_set_str_binary (xx, "0.1E0");
+ mpfr_set_str_binary (yy, "0.1E0");
+ test_mul (zz, xx, yy, GMP_RNDN);
+ /* exact result is 0.1E-1, which should round to 0 */
+ MPFR_ASSERTN(mpfr_cmp_ui (zz, 0) == 0 && MPFR_IS_POS(zz));
+ set_emin (emin);
+
+ /* coverage test for mpfr_powerof2_raw */
+ emin = mpfr_get_emin ();
+ set_emin (0);
+ mpfr_set_prec (xx, mp_bits_per_limb + 1);
+ mpfr_set_str_binary (xx, "0.1E0");
+ mpfr_nextabove (xx);
+ mpfr_set_str_binary (yy, "0.1E0");
+ test_mul (zz, xx, yy, GMP_RNDN);
+ /* exact result is just above 0.1E-1, which should round to minfloat */
+ MPFR_ASSERTN(mpfr_cmp (zz, yy) == 0);
+ set_emin (emin);
+
+ mpfr_clear(xx);
+ mpfr_clear(yy);
+ mpfr_clear(zz);
+}
+
+static void
+check_min(void)
+{
+ mpfr_t xx, yy, zz;
+
+ mpfr_init2(xx, 4);
+ mpfr_init2(yy, 4);
+ mpfr_init2(zz, 3);
+ mpfr_set_str1(xx, "0.9375");
+ mpfr_mul_2si(xx, xx, MPFR_EMIN_DEFAULT/2, GMP_RNDN);
+ mpfr_set_str1(yy, "0.9375");
+ mpfr_mul_2si(yy, yy, MPFR_EMIN_DEFAULT - MPFR_EMIN_DEFAULT/2 - 1, GMP_RNDN);
+ test_mul(zz, xx, yy, GMP_RNDD);
+ if (mpfr_sgn(zz) != 0)
+ {
+ printf("check_min failed: got ");
+ mpfr_out_str(stdout, 2, 0, zz, GMP_RNDZ);
+ printf(" instead of 0\n");
+ exit(1);
+ }
+
+ test_mul(zz, xx, yy, GMP_RNDU);
+ mpfr_set_str1 (xx, "0.5");
+ mpfr_mul_2si(xx, xx, MPFR_EMIN_DEFAULT, GMP_RNDN);
+ if (mpfr_sgn(xx) <= 0)
+ {
+ printf("check_min failed (internal error)\n");
+ exit(1);
+ }
+ if (mpfr_cmp(xx, zz) != 0)
+ {
+ printf("check_min failed: got ");
+ mpfr_out_str(stdout, 2, 0, zz, GMP_RNDZ);
+ printf(" instead of ");
+ mpfr_out_str(stdout, 2, 0, xx, GMP_RNDZ);
+ printf("\n");
+ exit(1);
+ }
+
+ mpfr_clear(xx);
+ mpfr_clear(yy);
+ mpfr_clear(zz);
+}
+
+static void
+check_nans (void)
+{
+ mpfr_t p, x, y;
+
+ mpfr_init2 (x, 123L);
+ mpfr_init2 (y, 123L);
+ mpfr_init2 (p, 123L);
+
+ /* nan * 0 == nan */
+ mpfr_set_nan (x);
+ mpfr_set_ui (y, 0L, GMP_RNDN);
+ test_mul (p, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (p));
+
+ /* 1 * nan == nan */
+ mpfr_set_ui (x, 1L, GMP_RNDN);
+ mpfr_set_nan (y);
+ test_mul (p, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (p));
+
+ /* 0 * +inf == nan */
+ mpfr_set_ui (x, 0L, GMP_RNDN);
+ mpfr_set_nan (y);
+ test_mul (p, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (p));
+
+ /* +1 * +inf == +inf */
+ mpfr_set_ui (x, 1L, GMP_RNDN);
+ mpfr_set_inf (y, 1);
+ test_mul (p, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_inf_p (p));
+ MPFR_ASSERTN (mpfr_sgn (p) > 0);
+
+ /* -1 * +inf == -inf */
+ mpfr_set_si (x, -1L, GMP_RNDN);
+ mpfr_set_inf (y, 1);
+ test_mul (p, x, y, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_inf_p (p));
+ MPFR_ASSERTN (mpfr_sgn (p) < 0);
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (p);
+}
+
+#define BUFSIZE 1552
+
+static void
+get_string (char *s, FILE *fp)
+{
+ int c, n = BUFSIZE;
+
+ while ((c = getc (fp)) != '\n')
+ {
+ if (c == EOF)
+ {
+ printf ("Error in get_string: end of file\n");
+ exit (1);
+ }
+ *(unsigned char *)s++ = c;
+ if (--n == 0)
+ {
+ printf ("Error in get_string: buffer is too small\n");
+ exit (1);
+ }
+ }
+ *s = '\0';
+}
+
+static void
+check_regression (void)
+{
+ mpfr_t x, y, z;
+ int i;
+ FILE *fp;
+ char s[BUFSIZE];
+
+ mpfr_inits2 (6177, x, y, z, (mpfr_ptr) 0);
+ /* we read long strings from a file since ISO C90 does not support strings of
+ length > 509 */
+ fp = fopen (QUOTE (MPFR_SRCDIR)"/tmul.dat", "r");
+ if (fp == NULL)
+ {
+ fprintf (stderr, "Error, cannot open "QUOTE (MPFR_SRCDIR)"/tmul.dat\n");
+ exit (1);
+ }
+ get_string (s, fp);
+ mpfr_set_str (y, s, 16, GMP_RNDN);
+ get_string (s, fp);
+ mpfr_set_str (z, s, 16, GMP_RNDN);
+ i = mpfr_mul (x, y, z, GMP_RNDN);
+ get_string (s, fp);
+ if (mpfr_cmp_str (x, s, 16, GMP_RNDN) != 0 || i != -1)
+ {
+ printf ("Regression test 1 failed (i=%d, expected -1)\nx=", i);
+ mpfr_out_str (stdout, 16, 0, x, GMP_RNDN); putchar ('\n');
+ exit (1);
+ }
+ fclose (fp);
+
+ mpfr_set_prec (x, 606);
+ mpfr_set_prec (y, 606);
+ mpfr_set_prec (z, 606);
+
+ mpfr_set_str (y, "-f.ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff92daefc3f8052ca9f58736564d9e93e62d324@-1", 16, GMP_RNDN);
+ mpfr_set_str (z, "-f.ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff92daefc3f8052ca9f58736564d9e93e62d324@-1", 16, GMP_RNDN);
+ i = mpfr_mul (x, y, z, GMP_RNDU);
+ mpfr_set_str (y, "f.ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff25b5df87f00a5953eb0e6cac9b3d27cc5a64c@-1", 16, GMP_RNDN);
+ if (mpfr_cmp (x, y) || i <= 0)
+ {
+ printf ("Regression test (2) failed! (i=%d - Expected 1)\n", i);
+ mpfr_out_str (stdout, 16, 0, x, GMP_RNDN); putchar ('\n');
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 184);
+ mpfr_set_prec (y, 92);
+ mpfr_set_prec (z, 1023);
+
+ mpfr_set_str (y, "6.9b8c8498882770d8038c3b0@-1", 16, GMP_RNDN);
+ mpfr_set_str (z, "7.44e24b986e7fb296f1e936ce749fec3504cbf0d5ba769466b1c9f1578115efd5d29b4c79271191a920a99280c714d3a657ad6e3afbab77ffce9d697e9bb9110e26d676069afcea8b69f1d1541f2365042d80a97c21dcccd8ace4f1bb58b49922003e738e6f37bb82ef653cb2e87f763974e6ae50ae54e7724c38b80653e3289@255", 16, GMP_RNDN);
+ i = mpfr_mul (x, y, z, GMP_RNDU);
+ mpfr_set_prec (y, 184);
+ mpfr_set_str (y, "3.0080038f2ac5054e3e71ccbb95f76aaab2221715025a28@255",
+ 16, GMP_RNDN);
+ if (mpfr_cmp (x, y) || i <= 0)
+ {
+ printf ("Regression test (4) failed! (i=%d - expected 1)\n", i);
+ printf ("Ref: 3.0080038f2ac5054e3e71ccbb95f76aaab2221715025a28@255\n"
+ "Got: ");
+ mpfr_out_str (stdout, 16, 0, x, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 908);
+ mpfr_set_prec (y, 908);
+ mpfr_set_prec (z, 908);
+ mpfr_set_str (y, "-f.fffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+"ffffffffffffffffffffffffffffffffffffffffffffffffffffff99be91f83ec6f0ed28a3d42"
+"e6e9a327230345ea6@-1", 16, GMP_RNDN);
+ mpfr_set_str (z, "-f.fffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+"ffffffffffffffffffffffffffffffffffffffffffffffffffffff99be91f83ec6f0ed28a3d42"
+ "e6e9a327230345ea6@-1", 16, GMP_RNDN);
+ i = mpfr_mul (x, y, z, GMP_RNDU);
+ mpfr_set_str (y, "f.ffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+"fffffffffffffffffffffffffffffffffffffffffffffffffffff337d23f07d8de1da5147a85c"
+"dd3464e46068bd4d@-1", 16, GMP_RNDN);
+ if (mpfr_cmp (x, y) || i <= 0)
+ {
+ printf ("Regression test (5) failed! (i=%d - expected 1)\n", i);
+ mpfr_out_str (stdout, 16, 0, x, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+
+ mpfr_set_prec (x, 50);
+ mpfr_set_prec (y, 40);
+ mpfr_set_prec (z, 53);
+ mpfr_set_str (y, "4.1ffffffff8", 16, GMP_RNDN);
+ mpfr_set_str (z, "4.2000000ffe0000@-4", 16, GMP_RNDN);
+ i = mpfr_mul (x, y, z, GMP_RNDN);
+ if (mpfr_cmp_str (x, "1.104000041d6c0@-3", 16, GMP_RNDN) != 0
+ || i <= 0)
+ {
+ printf ("Regression test (6) failed! (i=%d - expected 1)\nx=", i);
+ mpfr_out_str (stdout, 16, 0, x, GMP_RNDN);
+ printf ("\nMore prec=");
+ mpfr_set_prec (x, 93);
+ mpfr_mul (x, y, z, GMP_RNDN);
+ mpfr_out_str (stdout, 16, 0, x, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 439);
+ mpfr_set_prec (y, 393);
+ mpfr_set_str (y, "-1.921fb54442d18469898cc51701b839a252049c1114cf98e804177d"
+ "4c76273644a29410f31c6809bbdf2a33679a748636600",
+ 16, GMP_RNDN);
+ i = mpfr_mul (x, y, y, GMP_RNDU);
+ if (mpfr_cmp_str (x, "2.77a79937c8bbcb495b89b36602306b1c2159a8ff834288a19a08"
+ "84094f1cda3dc426da61174c4544a173de83c2500f8bfea2e0569e3698",
+ 16, GMP_RNDN) != 0
+ || i <= 0)
+ {
+ printf ("Regression test (7) failed! (i=%d - expected 1)\nx=", i);
+ mpfr_out_str (stdout, 16, 0, x, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 1023);
+ mpfr_set_prec (y, 1023);
+ mpfr_set_prec (z, 511);
+ mpfr_set_ui (x, 17, GMP_RNDN);
+ mpfr_set_ui (y, 42, GMP_RNDN);
+ i = mpfr_mul (z, x, y, GMP_RNDN);
+ if (mpfr_cmp_ui (z, 17*42) != 0 || i != 0)
+ {
+ printf ("Regression test (8) failed! (i=%d - expected 0)\nz=", i);
+ mpfr_out_str (stdout, 16, 0, z, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+ mpfr_clears (x, y, z, (mpfr_ptr) 0);
+}
+
+#define TEST_FUNCTION test_mul
+#define TWO_ARGS
+#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), randlimb () % 100)
+#include "tgeneric.c"
+
+/* multiplies x by 53-bit approximation of Pi */
+static int
+mpfr_mulpi (mpfr_ptr y, mpfr_srcptr x, mp_rnd_t r)
+{
+ mpfr_t z;
+ int inex;
+
+ mpfr_init2 (z, 53);
+ mpfr_set_str_binary (z, "11.001001000011111101101010100010001000010110100011");
+ inex = mpfr_mul (y, x, z, r);
+ mpfr_clear (z);
+ return inex;
+}
+
+int
+main (int argc, char *argv[])
+{
+ tests_start_mpfr ();
+
+ check_nans ();
+ check_exact ();
+ check_float ();
+
+ check53("6.9314718055994530941514e-1", "0.0", GMP_RNDZ, "0.0");
+ check53("0.0", "6.9314718055994530941514e-1", GMP_RNDZ, "0.0");
+ check_sign();
+ check53("-4.165000000e4", "-0.00004801920768307322868063274915", GMP_RNDN,
+ "2.0");
+ check53("2.71331408349172961467e-08", "-6.72658901114033715233e-165",
+ GMP_RNDZ, "-1.8251348697787782844e-172");
+ check53("0.31869277231188065", "0.88642843322303122", GMP_RNDZ,
+ "2.8249833483992453642e-1");
+ check("8.47622108205396074254e-01", "3.24039313247872939883e-01", GMP_RNDU,
+ 28, 45, 2, "0.375");
+ check("2.63978122803639081440e-01", "6.8378615379333496093e-1", GMP_RNDN,
+ 34, 23, 31, "0.180504585267044603");
+ check("1.0", "0.11835170935876249132", GMP_RNDU, 6, 41, 36,
+ "0.1183517093595583");
+ check53("67108865.0", "134217729.0", GMP_RNDN, "9.007199456067584e15");
+ check("1.37399642157394197284e-01", "2.28877275604219221350e-01", GMP_RNDN,
+ 49, 15, 32, "0.0314472340833162888");
+ check("4.03160720978664954828e-01", "5.854828e-1"
+ /*"5.85483042917246621073e-01"*/, GMP_RNDZ,
+ 51, 22, 32, "0.2360436821472831");
+ check("3.90798504668055102229e-14", "9.85394674650308388664e-04", GMP_RNDN,
+ 46, 22, 12, "0.385027296503914762e-16");
+ check("4.58687081072827851358e-01", "2.20543551472118792844e-01", GMP_RNDN,
+ 49, 3, 2, "0.09375");
+ check_max();
+ check_min();
+
+ check_regression ();
+ test_generic (2, 500, 100);
+
+ data_check ("data/mulpi", mpfr_mulpi, "mpfr_mulpi");
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff