/* Test file for mpfr_get_d 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.LIB. 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" int check_denorms _PROTO ((void)); int check_denorms () { mp_rnd_t rnd_mode; mpfr_t x; double d, d2, dd, f; int fail = 0, k, n; mpfr_init2 (x, BITS_PER_MP_LIMB); for (rnd_mode = 0; rnd_mode <= 3; rnd_mode++) { #ifdef MPFR_HAVE_FESETROUND mpfr_set_machine_rnd_mode (rnd_mode); #else if (rnd_mode) break; /* second iteration */ rnd_mode = GMP_RNDN; #endif for (k = -17; k <= 17; k += 2) { d = k * DBL_MIN; /* k * 2^(-1022) */ f = 1.0; mpfr_set_si (x, k, GMP_RNDN); mpfr_div_2exp (x, x, 1022, GMP_RNDN); /* k * 2^(-1022) */ for (n = 0; n <= 58; n++) { d2 = d * f; dd = mpfr_get_d (x, rnd_mode); if (d2 != dd) /* should be k * 2^(-1022-n) for n < 53 */ { fprintf (stderr, "Wrong result for %d * 2^(%d), rnd_mode %d\n", k, -1022-n, rnd_mode); fprintf (stderr, "got %.20e instead of %.20e\n", dd, d2); fail = 1; } f *= 0.5; mpfr_div_2exp (x, x, 1, GMP_RNDN); } } } mpfr_clear (x); return fail; } int main (void) { #ifdef MPFR_HAVE_FESETROUND mpfr_t half, x, y; mp_rnd_t rnd_mode; #endif mpfr_test_init (); #ifdef MPFR_HAVE_FESETROUND mpfr_init2(half, 2); mpfr_set_ui(half, 1, GMP_RNDZ); mpfr_div_2ui(half, half, 1, GMP_RNDZ); /* has exponent 0 */ mpfr_init2(x, 128); mpfr_init2(y, 128); for (rnd_mode = 0; rnd_mode <= 3; rnd_mode++) { int i, j, si, sj; double di, dj; mpfr_set_machine_rnd_mode (rnd_mode); for (i = 1, di = 0.25; i < 127; i++, di *= 0.5) for (si = 0; si <= 1; si++) { mpfr_div_2ui (x, half, i, GMP_RNDZ); (si ? mpfr_sub : mpfr_add)(x, half, x, GMP_RNDZ); /* x = 1/2 +/- 1/2^(1+i) */ for (j = i+1, dj = di * 0.5; j < 128 && j < i+53; j++, dj *= 0.5) for (sj = 0; sj <= 1; sj++) { double c, d, dd; int exp; char *f; mpfr_div_2ui (y, half, j, GMP_RNDZ); (sj ? mpfr_sub : mpfr_add)(y, x, y, GMP_RNDZ); /* y = 1/2 +/- 1/2^(1+i) +/- 1/2^(1+j) */ exp = (LONG_RAND() % 47) - 23; mpfr_mul_2si (y, y, exp, GMP_RNDZ); if (mpfr_inexflag_p()) { fprintf(stderr, "Error in tget_d: inexact flag for " "(i,si,j,sj,rnd,exp) = (%d,%d,%d,%d,%d,%d)\n", i, si, j, sj, rnd_mode, exp); exit(1); } dd = si != sj ? di - dj : di + dj; d = si ? 0.5 - dd : 0.5 + dd; if ((LONG_RAND() / 1024) & 1) { c = mpfr_get_d (y, rnd_mode); f = "mpfr_get_d"; } else { exp = (LONG_RAND() % 47) - 23; c = mpfr_get_d3 (y, exp, rnd_mode); f = "mpfr_get_d3"; if (si) /* then real d < 0.5 */ d *= sj && i == 1 ? 4 : 2; /* normalize real d */ } if (exp > 0) d *= 1 << exp; if (exp < 0) d /= 1 << -exp; if (c != d) { fprintf (stderr, "Error in tget_d (%s) for " "(i,si,j,sj,rnd,exp) = (%d,%d,%d,%d,%d,%d)\n" "got %.25Le instead of %.25Le\n" "Difference: %.19e\n", f, i, si, j, sj, rnd_mode, exp, (long double) c, (long double) d, d - c); exit (1); } } } } mpfr_clear(half); mpfr_clear(x); mpfr_clear(y); #endif if (check_denorms ()) exit (1); return 0; }