/* Test file for mpfr_set. Copyright 2001-2021 Free Software Foundation, Inc. Contributed by the AriC and Caramba 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 https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include "mpfr-test.h" static int error; #define PRINT_ERROR_IF(condition, text) \ do { \ if (condition) \ { \ printf ("%s", text); \ error = 1; \ } \ } while (0) /* Maybe better create its own test file? */ static void check_neg_special (void) { mpfr_t x, y; int inexact; int s1, s2, s3; mpfr_inits2 (53, x, y, (mpfr_ptr) 0); MPFR_SET_NAN (x); s1 = mpfr_signbit (x) != 0; mpfr_clear_nanflag (); inexact = mpfr_neg (y, x, MPFR_RNDN); s2 = mpfr_signbit (y) != 0; PRINT_ERROR_IF (!mpfr_nanflag_p (), "ERROR: neg (NaN) doesn't set Nan flag (1).\n"); PRINT_ERROR_IF (!mpfr_nan_p (y) || inexact != 0, "ERROR: neg (NaN) failed to set variable to NaN (1).\n"); PRINT_ERROR_IF (s1 == s2, "ERROR: neg (NaN) doesn't correctly flip sign bit (1).\n"); mpfr_clear_nanflag (); inexact = mpfr_neg (x, x, MPFR_RNDN); s2 = mpfr_signbit (x) != 0; PRINT_ERROR_IF (!mpfr_nanflag_p (), "ERROR: neg (NaN) doesn't set Nan flag (2).\n"); PRINT_ERROR_IF (!mpfr_nan_p (x) || inexact != 0, "ERROR: neg (NaN) failed to set variable to NaN (2).\n"); /* check following "bug" is fixed: https://sympa.inria.fr/sympa/arc/mpfr/2017-11/msg00003.html */ PRINT_ERROR_IF (s1 == s2, "ERROR: neg (NaN) doesn't correctly flip sign bit (2).\n"); mpfr_clear_nanflag (); inexact = mpfr_neg (y, x, MPFR_RNDN); s3 = mpfr_signbit (y) != 0; PRINT_ERROR_IF (!mpfr_nanflag_p (), "ERROR: neg (NaN) doesn't set Nan flag (3).\n"); PRINT_ERROR_IF (!mpfr_nan_p (y) || inexact != 0, "ERROR: neg (NaN) failed to set variable to NaN (3).\n"); PRINT_ERROR_IF (s2 == s3, "ERROR: neg (NaN) doesn't correctly flip sign bit (3).\n"); mpfr_clear_nanflag (); inexact = mpfr_neg (x, x, MPFR_RNDN); s3 = mpfr_signbit (x) != 0; PRINT_ERROR_IF (!mpfr_nanflag_p (), "ERROR: neg (NaN) doesn't set Nan flag (4).\n"); PRINT_ERROR_IF (!mpfr_nan_p (x) || inexact != 0, "ERROR: neg (NaN) failed to set variable to NaN (4).\n"); PRINT_ERROR_IF (s2 == s3, "ERROR: neg (NaN) doesn't correctly flip sign bit (4).\n"); mpfr_clears (x, y, (mpfr_ptr) 0); } static void check_special (void) { mpfr_t x, y; int inexact; int s1, s2; mpfr_inits2 (53, x, y, (mpfr_ptr) 0); mpfr_set_inf (x, 1); PRINT_ERROR_IF (!mpfr_inf_p (x) || mpfr_sgn (x) < 0, "ERROR: mpfr_set_inf failed to set variable to +inf [1].\n"); mpfr_set_inf (x, INT_MAX); PRINT_ERROR_IF (!mpfr_inf_p (x) || mpfr_sgn (x) < 0, "ERROR: mpfr_set_inf failed to set variable to +inf [2].\n"); mpfr_set_inf (x, 0); PRINT_ERROR_IF (!mpfr_inf_p (x) || mpfr_sgn (x) < 0, "ERROR: mpfr_set_inf failed to set variable to +inf [3].\n"); inexact = mpfr_set (y, x, MPFR_RNDN); PRINT_ERROR_IF (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || inexact != 0, "ERROR: mpfr_set failed to set variable to +infinity.\n"); inexact = mpfr_set_ui (y, 0, MPFR_RNDN); PRINT_ERROR_IF (MPFR_NOTZERO (y) || MPFR_IS_NEG (y) || inexact != 0, "ERROR: mpfr_set_ui failed to set variable to +0.\n"); mpfr_set_inf (x, -1); PRINT_ERROR_IF (!mpfr_inf_p (x) || mpfr_sgn (x) > 0, "ERROR: mpfr_set_inf failed to set variable to -inf [1].\n"); mpfr_set_inf (x, INT_MIN); PRINT_ERROR_IF (!mpfr_inf_p (x) || mpfr_sgn (x) > 0, "ERROR: mpfr_set_inf failed to set variable to -inf [2].\n"); inexact = mpfr_set (y, x, MPFR_RNDN); PRINT_ERROR_IF (!mpfr_inf_p (y) || mpfr_sgn (y) > 0 || inexact != 0, "ERROR: mpfr_set failed to set variable to -infinity.\n"); mpfr_set_zero (x, 1); PRINT_ERROR_IF (MPFR_NOTZERO (x) || MPFR_IS_NEG (x), "ERROR: mpfr_set_zero failed to set variable to +0 [1].\n"); mpfr_set_zero (x, INT_MAX); PRINT_ERROR_IF (MPFR_NOTZERO (x) || MPFR_IS_NEG (x), "ERROR: mpfr_set_zero failed to set variable to +0 [2].\n"); mpfr_set_zero (x, 0); PRINT_ERROR_IF (MPFR_NOTZERO (x) || MPFR_IS_NEG (x), "ERROR: mpfr_set_zero failed to set variable to +0 [3].\n"); inexact = mpfr_set (y, x, MPFR_RNDN); PRINT_ERROR_IF (MPFR_NOTZERO (y) || MPFR_IS_NEG (y) || inexact != 0, "ERROR: mpfr_set failed to set variable to +0.\n"); mpfr_set_zero (x, -1); PRINT_ERROR_IF (MPFR_NOTZERO (x) || MPFR_IS_POS (x), "ERROR: mpfr_set_zero failed to set variable to -0 [1].\n"); mpfr_set_zero (x, INT_MIN); PRINT_ERROR_IF (MPFR_NOTZERO (x) || MPFR_IS_POS (x), "ERROR: mpfr_set_zero failed to set variable to -0 [2].\n"); inexact = mpfr_set (y, x, MPFR_RNDN); PRINT_ERROR_IF (MPFR_NOTZERO (y) || MPFR_IS_POS (y) || inexact != 0, "ERROR: mpfr_set failed to set variable to -0.\n"); /* NaN tests */ mpfr_set_nan (x); PRINT_ERROR_IF (!mpfr_nan_p (x), "ERROR: mpfr_set_nan failed to set variable to NaN.\n"); s1 = mpfr_signbit (x) != 0; mpfr_clear_nanflag (); inexact = mpfr_set (y, x, MPFR_RNDN); s2 = mpfr_signbit (y) != 0; PRINT_ERROR_IF (!mpfr_nanflag_p (), "ERROR: mpfr_set doesn't set Nan flag (1).\n"); PRINT_ERROR_IF (!mpfr_nan_p (y) || inexact != 0, "ERROR: mpfr_set failed to set variable to NaN (1).\n"); PRINT_ERROR_IF (s1 != s2, "ERROR: mpfr_set doesn't preserve the sign bit (1).\n"); mpfr_clear_nanflag (); inexact = mpfr_set (x, x, MPFR_RNDN); s2 = mpfr_signbit (x) != 0; PRINT_ERROR_IF (!mpfr_nanflag_p (), "ERROR: mpfr_set doesn't set Nan flag (2).\n"); PRINT_ERROR_IF (!mpfr_nan_p (x) || inexact != 0, "ERROR: mpfr_set failed to set variable to NaN (2).\n"); PRINT_ERROR_IF (s1 != s2, "ERROR: mpfr_set doesn't preserve the sign bit (2).\n"); MPFR_CHANGE_SIGN (x); s1 = !s1; mpfr_clear_nanflag (); inexact = mpfr_set (y, x, MPFR_RNDN); s2 = mpfr_signbit (y) != 0; PRINT_ERROR_IF (!mpfr_nanflag_p (), "ERROR: mpfr_set doesn't set Nan flag (3).\n"); PRINT_ERROR_IF (!mpfr_nan_p (y) || inexact != 0, "ERROR: mpfr_set failed to set variable to NaN (3).\n"); PRINT_ERROR_IF (s1 != s2, "ERROR: mpfr_set doesn't preserve the sign bit (3).\n"); mpfr_clear_nanflag (); inexact = mpfr_set (x, x, MPFR_RNDN); s2 = mpfr_signbit (x) != 0; PRINT_ERROR_IF (!mpfr_nanflag_p (), "ERROR: mpfr_set doesn't set Nan flag (4).\n"); PRINT_ERROR_IF (!mpfr_nan_p (x) || inexact != 0, "ERROR: mpfr_set failed to set variable to NaN (4).\n"); PRINT_ERROR_IF (s1 != s2, "ERROR: mpfr_set doesn't preserve the sign bit (4).\n"); mpfr_clears (x, y, (mpfr_ptr) 0); } static void check_ternary_value (void) { int k, p, q, rnd; int inexact, cmp; mpfr_t x, y; mpfr_init (x); mpfr_init (y); for (p=2; p<500; p++) { mpfr_set_prec (x, p); mpfr_urandomb (x, RANDS); if (randlimb () % 2) mpfr_neg (x, x, MPFR_RNDN); for (q=2; q<2*p; q++) { mpfr_set_prec (y, q); RND_LOOP (rnd) { if (rnd == MPFR_RNDF) /* the test below makes no sense */ continue; for (k = 0; k < 3; k++) { int a = 0, b = 0, c = 0; switch (k) { case 0: inexact = mpfr_set (y, x, (mpfr_rnd_t) rnd); break; case 1: inexact = (mpfr_set) (y, x, (mpfr_rnd_t) rnd); break; case 2: #ifdef IGNORE_CPP_COMPAT #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wc++-compat" #endif inexact = mpfr_set ((a++, VOIDP_CAST(y)), (b++, VOIDP_CAST(x)), (c++, (mpfr_rnd_t) rnd)); #ifdef IGNORE_CPP_COMPAT #pragma GCC diagnostic pop #endif MPFR_ASSERTN (a == 1); MPFR_ASSERTN (b == 1); MPFR_ASSERTN (c == 1); break; } cmp = mpfr_cmp (y, x); if (((inexact == 0) && (cmp != 0)) || ((inexact > 0) && (cmp <= 0)) || ((inexact < 0) && (cmp >= 0))) { printf ("Wrong ternary value in mpfr_set for %s (%d):" " expected %d, got %d\n", mpfr_print_rnd_mode ((mpfr_rnd_t) rnd), k, cmp, inexact); exit (1); } } } } } mpfr_clear (x); mpfr_clear (y); } static void test_set_1_2 (void) { mpfr_t u, v, zz, z; int inex; /* (8,16)-bit test */ mpfr_inits2 (16, u, v, zz, (mpfr_ptr) 0); mpfr_init2 (z, 8); mpfr_set_str_binary (u, "0.1100001100011010E-1"); mpfr_set_str_binary (v, "0.1100010101110010E0"); /* u + v = 1.0010011011111111 */ inex = mpfr_add (zz, u, v, MPFR_RNDN); MPFR_ASSERTN(inex > 0); mpfr_set_str_binary (u, "1.001001110000000"); MPFR_ASSERTN(mpfr_equal_p (zz, u)); inex = mpfr_set_1_2 (z, zz, MPFR_RNDN, inex); /* we should have z = 1.0010011 and inex < 0 */ MPFR_ASSERTN(inex < 0); mpfr_set_str_binary (u, "1.0010011"); MPFR_ASSERTN(mpfr_equal_p (z, u)); mpfr_clears (u, v, zz, z, (mpfr_ptr) 0); /* (16,32)-bit test: * take for v a random 32-bit number in [1/2,1), here 2859611790/2^32 * take for z a random 16-bit number in [1,2), less than 2*v, with last bit 0, here we take z = 40900/2^15 * take u = z-v-1/2^16-1/2^32 */ mpfr_inits2 (32, u, v, zz, (mpfr_ptr) 0); mpfr_init2 (z, 16); mpfr_set_str_binary (u, "0.10010101000101001100100101110001"); mpfr_set_str_binary (v, "0.10101010011100100011011010001110"); /* u + v = 1.00111111100001101111111111111111 */ inex = mpfr_add (zz, u, v, MPFR_RNDN); MPFR_ASSERTN(inex > 0); mpfr_set_str_binary (u, "1.0011111110000111"); MPFR_ASSERTN(mpfr_equal_p (zz, u)); inex = mpfr_set_1_2 (z, zz, MPFR_RNDN, inex); /* we should have z = 1.001111111000011 and inex < 0 */ MPFR_ASSERTN(inex < 0); mpfr_set_str_binary (u, "1.001111111000011"); MPFR_ASSERTN(mpfr_equal_p (z, u)); mpfr_clears (u, v, zz, z, (mpfr_ptr) 0); /* (32,64)-bit test: * take for v a random 64-bit number in [1/2,1), here v = 13687985014345662879/2^64 * take for z a random 32-bit number in [1,2), less than 2*v, with last bit 0, here we take z = 2871078774/2^31 * take u = z-v-1/2^32-1/2^64 */ mpfr_inits2 (64, u, v, zz, (mpfr_ptr) 0); mpfr_init2 (z, 32); mpfr_set_str_binary (u, "0.10011000010011001110000100010001110010010000111001111110011"); mpfr_set_str_binary (v, "0.1011110111110101011111011101100100110110111100011000000110011111"); /* u + v = 1.0101011001000010010111101110101011111111111111111111111111111111 */ inex = mpfr_add (zz, u, v, MPFR_RNDN); MPFR_ASSERTN(inex > 0); mpfr_set_str_binary (u, "1.01010110010000100101111011101011"); MPFR_ASSERTN(mpfr_equal_p (zz, u)); inex = mpfr_set_1_2 (z, zz, MPFR_RNDN, inex); /* we should have z = 1.0101011001000010010111101110101 and inex < 0 */ MPFR_ASSERTN(inex < 0); mpfr_set_str_binary (u, "1.0101011001000010010111101110101"); MPFR_ASSERTN(mpfr_equal_p (z, u)); mpfr_clears (u, v, zz, z, (mpfr_ptr) 0); /* (64,128)-bit test: * take for v a random 128-bit number in [1/2,1), here v = 322263811942091240216761391118876232409/2^128 * take for z a random 64-bit number in [1,2), less than 2*v, with last bit 0, here we take z = 16440347967874738276/2^63 * take u = z-v-1/2^64-1/2^128 */ mpfr_inits2 (128, u, v, zz, (mpfr_ptr) 0); mpfr_init2 (z, 64); mpfr_set_str_binary (u, "0.1101010111011101111100100001011111111000010011011001000101111010110101101101011011100110101001010001101011011110101101010010011"); mpfr_set_str_binary (v, "0.11110010011100011100000010100110100010011010110010111111010011000010100100101001000110010101101011100101001000010100101011011001"); inex = mpfr_add (zz, u, v, MPFR_RNDN); MPFR_ASSERTN(inex > 0); mpfr_set_str_binary (u, "1.1100100001001111101100101011111010000001111110100101000011000111"); MPFR_ASSERTN(mpfr_equal_p (zz, u)); inex = mpfr_set_1_2 (z, zz, MPFR_RNDN, inex); MPFR_ASSERTN(inex < 0); mpfr_set_str_binary (u, "1.1100100001001111101100101011111010000001111110100101000011000110"); MPFR_ASSERTN(mpfr_equal_p (z, u)); mpfr_clears (u, v, zz, z, (mpfr_ptr) 0); } #define TEST_FUNCTION mpfr_set #include "tgeneric.c" int main (void) { mpfr_t x, y, z, u; int inexact; mpfr_exp_t emax; tests_start_mpfr (); test_set_1_2 (); /* Default : no error */ error = 0; /* check prototypes of mpfr_init_set_* */ inexact = mpfr_init_set_si (x, -1, MPFR_RNDN); MPFR_ASSERTN (inexact == 0); inexact = mpfr_init_set (y, x, MPFR_RNDN); MPFR_ASSERTN (inexact == 0); inexact = mpfr_init_set_ui (z, 1, MPFR_RNDN); MPFR_ASSERTN (inexact == 0); inexact = mpfr_init_set_d (u, 1.0, MPFR_RNDN); MPFR_ASSERTN (inexact == 0); emax = mpfr_get_emax (); set_emax (0); mpfr_set_prec (x, 3); mpfr_set_str_binary (x, "0.111"); mpfr_set_prec (y, 2); mpfr_set (y, x, MPFR_RNDU); if (!(MPFR_IS_INF (y) && MPFR_IS_POS (y))) { printf ("Error for y=x=0.111 with px=3, py=2 and emax=0\nx="); mpfr_dump (x); printf ("y="); mpfr_dump (y); exit (1); } set_emax (emax); mpfr_set_prec (y, 11); mpfr_set_str_binary (y, "0.11111111100E-8"); mpfr_set_prec (x, 2); mpfr_set (x, y, MPFR_RNDN); mpfr_set_str_binary (y, "1.0E-8"); if (mpfr_cmp (x, y)) { printf ("Error for y=0.11111111100E-8, prec=2, rnd=MPFR_RNDN\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); mpfr_clear (u); check_ternary_value (); check_special (); check_neg_special (); test_generic (MPFR_PREC_MIN, 1000, 10); tests_end_mpfr (); return error; }