/* Test file for mpfr_mul_ui. Copyright 1999, 2000, 2001, 2002 Free Software Foundation. This file is part of the MPFR Library. The 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 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 MPFR Library; see the file COPYING. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #include #include #include #include "gmp.h" #include "gmp-impl.h" #include "mpfr.h" #include "mpfr-impl.h" #include "mpfr-test.h" void check_inexact _PROTO((mp_prec_t)); void check_inexact (mp_prec_t p) { mpfr_t x, y, z; unsigned long u; mp_prec_t q; int inexact, cmp; mp_rnd_t rnd; mpfr_init2 (x, p); mpfr_init (y); mpfr_init2 (z, p + mp_bits_per_limb); mpfr_random (x); u = LONG_RAND(); if (mpfr_mul_ui (z, x, u, GMP_RNDN)) { fprintf (stderr, "Error: result should be exact\n"); exit (1); } for (q=2; q<=p; q++) for (rnd=0; rnd<4; rnd++) { mpfr_set_prec (y, q); inexact = mpfr_mul_ui (y, x, u, rnd); cmp = mpfr_cmp (y, z); if (((inexact == 0) && (cmp != 0)) || ((inexact < 0) && (cmp >= 0)) || ((inexact > 0) && (cmp <= 0))) { fprintf (stderr, "Wrong inexact flag for p=%u, q=%u, rnd=%s\n", (unsigned) p, (unsigned) q, mpfr_print_rnd_mode (rnd)); exit (1); } } mpfr_set_prec (x, 2); mpfr_set_ui (x, 1, GMP_RNDN); if (mpfr_mul_ui (x, x, 5, GMP_RNDZ) == 0) { fprintf (stderr, "mul_ui(1, 5) cannot be exact with prec=2\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); } int main (int argc, char *argv[]) { mpfr_t x, y; unsigned int xprec, yprec, i; mp_prec_t p; for (p=2; p<100; p++) for (i=1; i<50; i++) check_inexact (p); mpfr_init2 (x, 53); mpfr_init2 (y, 53); /* checks that result is normalized */ mpfr_set_d (y, 6.93147180559945286227e-01, GMP_RNDZ); mpfr_mul_ui (x, y, 1, GMP_RNDZ); if (MPFR_MANT(x)[MPFR_PREC(x)/mp_bits_per_limb] >> (mp_bits_per_limb-1) == 0) { fprintf (stderr, "Error in mpfr_mul_ui: result not normalized\n"); exit (1); } if (mpfr_cmp (x, y)) { fprintf (stderr, "Error in mpfr_mul_ui: 1*y != y\n"); printf ("y= "); mpfr_print_binary (y); putchar ('\n'); printf ("1*y="); mpfr_print_binary (x); putchar ('\n'); exit (1); } mpfr_set_inf (x, 1); mpfr_mul_ui (x, x, 3, GMP_RNDU); if (!mpfr_inf_p (x) || (mpfr_sgn (x) <= 0)) { fprintf (stderr, "Error in mpfr_mul_ui: +Inf*3 does not give +Inf\n"); exit (1); } mpfr_set_inf (x, -1); mpfr_mul_ui (x, x, 3, GMP_RNDU); if (!mpfr_inf_p (x) || (mpfr_sgn (x) >= 0)) { fprintf (stderr, "Error in mpfr_mul_ui: -Inf*3 does not give -Inf\n"); exit (1); } mpfr_set_nan (x); mpfr_mul_ui (x, x, 3, GMP_RNDU); if (!mpfr_nan_p(x)) { fprintf (stderr, "Error in mpfr_mul_ui: NaN*3 does not give NaN\n"); exit (1); } mpfr_set_d (x, 1.0/3.0, GMP_RNDZ); mpfr_mul_ui (x, x, 3, GMP_RNDU); if (mpfr_get_d (x) != 1.0) { fprintf (stderr, "Error in mpfr_mul_ui: U(Z(1/3)*3) does not give 1\n"); exit (1); } /* checks sign is correct */ mpfr_set_d(x, -2.0, GMP_RNDZ); mpfr_set_d(y, 3.0, GMP_RNDZ); mpfr_mul_ui(x, y, 4, GMP_RNDZ); if (mpfr_cmp_ui(x, 0) <= 0) { fprintf(stderr, "Error in mpfr_mul_ui: 4*3.0 does not give a positive result:\n"); mpfr_print_binary(x); putchar('\n'); printf("mpfr_cmp_ui(x, 0) = %d\n", mpfr_cmp_ui(x, 0)); exit(1); } mpfr_set_prec (x, 9); mpfr_set_prec (y, 9); mpfr_set_str_raw (y, "0.100001111E9"); /* 271 */ mpfr_mul_ui (x, y, 1335, GMP_RNDN); mpfr_set_str_raw (y, "0.101100001E19"); /* 361472 */ if (mpfr_cmp (x, y)) { fprintf (stderr, "Error in mul_ui for 1335*(0.100001111E9)\n"); printf ("got "); mpfr_print_binary (x); putchar ('\n'); exit(1); } mpfr_set_prec(y, 100); mpfr_set_prec(x, 100); /* y = 1199781142214086656 */ mpfr_set_str_raw(y, "0.1000010100110011110101001011110010101111000100001E61"); mpfr_mul_ui(x, y, 121, GMP_RNDD); /* 121*y = 145173518207904485376, representable exactly */ mpfr_set_str_raw(y, "0.1111101111010101111111100011010010111010111110110011001E67"); if (mpfr_cmp(x, y)) { printf("Error for 121*y: expected result is:\n"); mpfr_print_binary(y); putchar('\n'); } mpfr_set_prec (x, 32); mpfr_set_str_raw (x, "0.10000000000000000000000000000000E1"); mpfr_set_prec (y, 93); mpfr_mul_ui (y, x, 1, GMP_RNDN); mpfr_set_prec (x, 287); mpfr_set_str_raw (x, "0.1111E7"); mpfr_set_prec (y, 289); mpfr_mul_ui (y, x, 6, GMP_RNDN); mpfr_set_str_raw (x, "0.101101E10"); if (mpfr_cmp (x, y)) { printf ("Error for 6 * 120\n"); exit (1); } mpfr_set_prec (x, 68); mpfr_set_prec (y, 64); mpfr_set_d (x, 2143861251406875.0, GMP_RNDN); mpfr_mul_ui (y, x, 23, GMP_RNDN); mpfr_set_str_raw (x, "10101111001011100001100110101111110001010010011001101101.0"); if (mpfr_cmp (x, y)) { printf ("Error for 23 * 2143861251406875.0\n"); printf ("expected "); mpfr_print_binary (x); putchar ('\n'); printf ("got "); mpfr_print_binary (y); putchar ('\n'); exit (1); } for (xprec = 53; xprec <= 128; xprec++) { mpfr_set_prec (x, xprec); mpfr_set_str_raw (x, "0.1100100100001111110011111000000011011100001100110111E2"); for (yprec = 53; yprec <= 128; yprec++) { mpfr_set_prec (y, yprec); mpfr_mul_ui (y, x, 1, GMP_RNDN); if (mpfr_get_d (x) != mpfr_get_d (y)) { fprintf (stderr, "multiplication by 1.0 fails for xprec=%u, yprec=%u\n", xprec, yprec); printf ("expected "); mpfr_print_binary (x); putchar ('\n'); printf ("got "); mpfr_print_binary (y); putchar ('\n'); exit (1); } } } mpfr_set_prec (x, 128); mpfr_set_ui (x, 17, GMP_RNDN); mpfr_mul_ui (x, x, ULONG_HIGHBIT, GMP_RNDN); mpfr_set_prec (y, 128); mpfr_set_ui (y, ULONG_HIGHBIT, GMP_RNDN); mpfr_mul_ui (y, y, 17, GMP_RNDN); if (mpfr_cmp (x, y)) { printf ("Error for 17 * ULONG_HIGHBIT\n"); exit (1); } mpfr_clear(x); mpfr_clear(y); return 0; }