/* Test file for mpfr_sub1sp. Copyright 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 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 #include #include "mpfr-test.h" static void check_special (void); static void check_random (mpfr_prec_t p); int main (void) { mpfr_prec_t p; tests_start_mpfr (); check_special (); for (p = 2 ; p < 200 ; p++) check_random (p); tests_end_mpfr (); return 0; } #define STD_ERROR \ {\ printf("ERROR: for %s and p=%lu and i=%d:\nY=",\ mpfr_print_rnd_mode ((mpfr_rnd_t) r), p, i);\ mpfr_print_binary(y);\ printf("\nZ="); mpfr_print_binary(z);\ printf("\nReal: "); mpfr_print_binary(x2);\ printf("\nGot : "); mpfr_print_binary(x);\ putchar('\n');\ exit(1);\ } #define STD_ERROR2 \ {\ printf("ERROR: for %s and p=%lu and i=%d:\nY=",\ mpfr_print_rnd_mode ((mpfr_rnd_t) r), p, i);\ mpfr_print_binary(y);\ printf("\nZ="); mpfr_print_binary(z);\ printf("\nR="); mpfr_print_binary(x);\ printf("\nWrong inexact flag. Real: %d. Got: %d\n", \ inexact1, inexact2); \ exit(1);\ } static void check_random (mpfr_prec_t p) { mpfr_t x,y,z,x2; int r; int i, inexact1, inexact2; mpfr_inits2 (p, x, y, z, x2, (mpfr_ptr) 0); for (i = 0 ; i < 500 ; i++) { mpfr_urandomb (y, RANDS); mpfr_urandomb (z, RANDS); if (MPFR_IS_PURE_FP(y) && MPFR_IS_PURE_FP(z)) for(r = 0 ; r < MPFR_RND_MAX ; r++) { inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; } } mpfr_clears (x, y, z, x2, (mpfr_ptr) 0); } static void check_special (void) { mpfr_t x,y,z,x2; int r; mpfr_prec_t p; int i = -1, inexact1, inexact2; mp_exp_t es; mpfr_inits (x, y, z, x2, (mpfr_ptr) 0); for (r = 0 ; r < MPFR_RND_MAX ; r++) { p = 53; mpfr_set_prec(x, 53); mpfr_set_prec(x2, 53); mpfr_set_prec(y, 53); mpfr_set_prec(z, 53); mpfr_set_str_binary (y, "0.10110111101101110010010010011011000001101101011011001E31"); mpfr_sub1sp (x, y, y, (mpfr_rnd_t) r); if (mpfr_cmp_ui(x, 0)) { printf("Error for x-x with p=%lu. Expected 0. Got:", p); mpfr_print_binary(x); exit(1); } mpfr_set(z, y, (mpfr_rnd_t) r); mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp_ui(x, 0)) { printf("Error for x-y with y=x and p=%lu. Expected 0. Got:", p); mpfr_print_binary(x); exit(1); } /* diff = 0 */ mpfr_set_str_binary (y, "0.10110111101101110010010010011011001001101101011011001E31"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; /* Diff = 1 */ mpfr_set_str_binary (y, "0.10110111101101110010010010011011000001101101011011001E30"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; /* Diff = 2 */ mpfr_set_str_binary (y, "0.10110111101101110010010010011011000101101101011011001E32"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; /* Diff = 32 */ mpfr_set_str_binary (y, "0.10110111101101110010010010011011000001101101011011001E63"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; /* Diff = 52 */ mpfr_set_str_binary (y, "0.10110111101101110010010010011011010001101101011011001E83"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; /* Diff = 53 */ mpfr_set_str_binary (y, "0.10110111101101110010010010011111000001101101011011001E31"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; /* Diff > 200 */ mpfr_set_str_binary (y, "0.10110111101101110010010010011011000001101101011011001E331"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.10000000000000000000000000000000000000000000000000000E31"); mpfr_set_str_binary (z, "0.11111111111111111111111111111111111111111111111111111E30"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.10000000000000000000000000000000000000000000000000000E31"); mpfr_set_str_binary (z, "0.11111111111111111111111111111111111111111111111111111E29"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.10000000000000000000000000000000000000000000000000000E52"); mpfr_set_str_binary (z, "0.10000000000010000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.11100000000000000000000000000000000000000000000000000E53"); mpfr_set_str_binary (z, "0.10000000000000000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(z, y, z, (mpfr_rnd_t) r); mpfr_set(x, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.10000000000000000000000000000000000000000000000000000E53"); mpfr_set_str_binary (z, "0.10100000000000000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.10000000000000000000000000000000000000000000000000000E54"); mpfr_set_str_binary (z, "0.10100000000000000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; p = 63; mpfr_set_prec(x, p); mpfr_set_prec(x2, p); mpfr_set_prec(y, p); mpfr_set_prec(z, p); mpfr_set_str_binary (y, "0.100000000000000000000000000000000000000000000000000000000000000E62"); mpfr_set_str_binary (z, "0.110000000000000000000000000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; p = 64; mpfr_set_prec(x, 64); mpfr_set_prec(x2, 64); mpfr_set_prec(y, 64); mpfr_set_prec(z, 64); mpfr_set_str_binary (y, "0.1100000000000000000000000000000000000000000000000000000000000000E31"); mpfr_set_str_binary (z, "0.1111111111111111111111111110000000000000000000000000011111111111E29"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.1000000000000000000000000000000000000000000000000000000000000000E63"); mpfr_set_str_binary (z, "0.1011000000000000000000000000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.1000000000000000000000000000000000000000000000000000000000000000E63"); mpfr_set_str_binary (z, "0.1110000000000000000000000000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.10000000000000000000000000000000000000000000000000000000000000E63"); mpfr_set_str_binary (z, "0.10000000000000000000000000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.1000000000000000000000000000000000000000000000000000000000000000E64"); mpfr_set_str_binary (z, "0.1010000000000000000000000000000000000000000000000000000000000000E00"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; MPFR_SET_NAN(x); MPFR_SET_NAN(x2); mpfr_set_str_binary (y, "0.1000000000000000000000000000000000000000000000000000000000000000" "E-1073741823"); mpfr_set_str_binary (z, "0.1100000000000000000000000000000000000000000000000000000000000000" "E-1073741823"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; p = 9; mpfr_set_prec(x, p); mpfr_set_prec(x2, p); mpfr_set_prec(y, p); mpfr_set_prec(z, p); mpfr_set_str_binary (y, "0.100000000E1"); mpfr_set_str_binary (z, "0.100000000E-8"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; p = 34; mpfr_set_prec(x, p); mpfr_set_prec(x2, p); mpfr_set_prec(y, p); mpfr_set_prec(z, p); mpfr_set_str_binary (y, "-0.1011110000111100010111011100110100E-18"); mpfr_set_str_binary (z, "0.1000101010110011010101011110000000E-14"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; p = 124; mpfr_set_prec(x, p); mpfr_set_prec(x2, p); mpfr_set_prec(y, p); mpfr_set_prec(z, p); mpfr_set_str_binary (y, "0.1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E1"); mpfr_set_str_binary (z, "0.1011111000100111000011001000011101010101101100101010101001000001110100001101110110001110111010000011101001100010111110001100E-31"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; p = 288; mpfr_set_prec(x, p); mpfr_set_prec(x2, p); mpfr_set_prec(y, p); mpfr_set_prec(z, p); mpfr_set_str_binary (y, "0.111000110011000001000111101010111011110011101001101111111110000011100101000001001010110010101010011001010100000001110011110001010101101010001011101110100100001011110100110000101101100011010001001011011010101010000010001101001000110010010111111011110001111101001000101101001100101100101000E80"); mpfr_set_str_binary (z, "-0.100001111111101001011010001100110010100111001110000110011101001011010100001000000100111011010110110010000000000010101101011000010000110001110010100001100101011100100100001011000100011110000001010101000100011101001000010111100000111000111011001000100100011000100000010010111000000100100111E-258"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; p = 85; mpfr_set_prec(x, p); mpfr_set_prec(x2, p); mpfr_set_prec(y, p); mpfr_set_prec(z, p); mpfr_set_str_binary (y, "0.1111101110100110110110100010101011101001100010100011110110110010010011101100101111100E-4"); mpfr_set_str_binary (z, "0.1111101110100110110110100010101001001000011000111000011101100101110100001110101010110E-4"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; p = 64; mpfr_set_prec(x, p); mpfr_set_prec(x2, p); mpfr_set_prec(y, p); mpfr_set_prec(z, p); mpfr_set_str_binary (y, "0.11000000000000000000000000000000" "00000000000000000000000000000000E1"); mpfr_set_str_binary (z, "0.10000000000000000000000000000000" "00000000000000000000000000000001E0"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.11000000000000000000000000000000" "000000000000000000000000000001E1"); mpfr_set_str_binary (z, "0.10000000000000000000000000000000" "00000000000000000000000000000001E0"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; es = mpfr_get_emin (); set_emin (-1024); mpfr_set_str_binary (y, "0.10000000000000000000000000000000" "000000000000000000000000000000E-1023"); mpfr_set_str_binary (z, "0.10000000000000000000000000000000" "00000000000000000000000000000001E-1023"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; mpfr_set_str_binary (y, "0.10000000000000000000000000000000" "000000000000000000000000000000E-1023"); mpfr_set_str_binary (z, "0.1000000000000000000000000000000" "000000000000000000000000000000E-1023"); inexact1 = mpfr_sub1(x2, y, z, (mpfr_rnd_t) r); inexact2 = mpfr_sub1sp(x, y, z, (mpfr_rnd_t) r); if (mpfr_cmp(x, x2)) STD_ERROR; if (inexact1 != inexact2) STD_ERROR2; set_emin (es); } mpfr_clears (x, y, z, x2, (mpfr_ptr) 0); }