/* Test file for mpfr_get_f. Copyright 2005-2015 Free Software Foundation, Inc. Contributed by the AriC and Caramel 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 #include "mpfr-test.h" /* Test that there is no lost of accuracy when converting a mpfr_t number into a mpf_t number (test with various precisions and exponents). */ static void prec_test (void) { int px, py; for (py = 3; py <= 136; py++) { mpfr_t y1, y2, y3; mpfr_init2 (y1, py); mpfr_init2 (y2, py); mpfr_init2 (y3, py); for (px = 32; px <= 160; px += 32) { mpf_t x1, x2, x3; int e; mpf_init (x1); mpf_init (x2); mpf_init (x3); mpfr_set_ui_2exp (y1, 1, py - 1, MPFR_RNDN); mpfr_get_f (x1, y1, MPFR_RNDN); /* exact (power of 2) */ mpf_set (x2, x1); mpfr_set (y2, y1, MPFR_RNDN); for (e = py - 2; e >= 0; e--) { int inex; mpf_div_2exp (x2, x2, 1); mpf_add (x1, x1, x2); mpfr_div_2exp (y2, y2, 1, MPFR_RNDN); inex = mpfr_add (y1, y1, y2, MPFR_RNDN); MPFR_ASSERTN (inex == 0); mpfr_set_f (y3, x1, MPFR_RNDN); if (! mpfr_equal_p (y1, y3)) break; inex = mpfr_get_f (x3, y3, MPFR_RNDN); if (mpf_cmp (x1, x3) != 0) { printf ("Error in prec_test (px = %d, py = %d, e = %d)\n", px, py, e); printf ("x1 = "); mpf_out_str (stdout, 16, 0, x1); printf ("\nx2 = "); mpf_out_str (stdout, 16, 0, x2); printf ("\n"); exit (1); } if (inex != 0) { printf ("Error in prec_test (px = %d, py = %d, e = %d)\n", px, py, e); printf ("wrong ternary value got: %+d, expected: 0\n", inex); exit (1); } } mpf_clear (x1); mpf_clear (x2); mpf_clear (x3); } mpfr_clear (y1); mpfr_clear (y2); mpfr_clear (y3); } } static void special_test (void) { int inex; mpf_t x; mpfr_t y; mpfr_init (y); mpf_init (x); mpfr_set_nan (y); mpfr_clear_flags (); mpfr_get_f (x, y, MPFR_RNDN); if (! mpfr_erangeflag_p ()) { printf ("Error: mpfr_get_f(NaN) should raise erange flag\n"); exit (1); } mpfr_set_inf (y, +1); mpfr_clear_flags (); inex = mpfr_get_f (x, y, MPFR_RNDN); if (inex >= 0) { printf ("Error: mpfr_get_f(+Inf) should return a negative ternary" "value\n"); exit (1); } if (! mpfr_erangeflag_p ()) { printf ("Error: mpfr_get_f(+Inf) should raise erange flag\n"); exit (1); } mpfr_set_inf (y, -1); mpfr_clear_flags (); inex = mpfr_get_f (x, y, MPFR_RNDN); if (inex <= 0) { printf ("Error: mpfr_get_f(-Inf) should return a positive ternary" "value\n"); exit (1); } if (! mpfr_erangeflag_p ()) { printf ("Error: mpfr_get_f(-Inf) should raise erange flag\n"); exit (1); } mpfr_set_ui (y, 0, MPFR_RNDN); if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, 0)) { printf ("Error: mpfr_get_f(+0) fails\n"); exit (1); } mpfr_set_ui (y, 0, MPFR_RNDN); mpfr_neg (y, y, MPFR_RNDN); if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, 0)) { printf ("Error: mpfr_get_f(-0) fails\n"); exit (1); } mpfr_clear (y); mpf_clear (x); } static void ternary_test (void) { int prec; int rnd; int inex, expected_inex; mpf_t x; mpfr_t y; mpf_init2 (x, 256); mpfr_init2 (y, 256); for (prec = 2; prec <= 256; prec++) { mpf_set_prec (x, prec); mpfr_set_prec (y, PREC (x) * GMP_NUMB_BITS + 1); /* y == 1 */ mpfr_set_ui_2exp (y, 1, prec, MPFR_RNDN); RND_LOOP (rnd) { inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd); if (inex != 0 || mpfr_cmp_f (y, x) !=0) { printf ("Error in mpfr_get_f (x, y, %s)\nx = ", mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); mpf_out_str (stdout, 2, 0, x); printf ("\ny = "); mpfr_dump (y); if (inex != 0) printf ("got ternary value = %+d, expected: 0\n", inex); exit (1); } } /* y == 1 + epsilon */ mpfr_nextbelow (y); RND_LOOP (rnd) { switch (rnd) { case MPFR_RNDU: case MPFR_RNDA: case MPFR_RNDN: expected_inex = +1; break; default : expected_inex = -1; } inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd); if (! SAME_SIGN (expected_inex, inex) || SAME_SIGN (expected_inex, mpfr_cmp_f (y, x))) { printf ("Error in mpfr_get_f (x, y, %s)\nx = ", mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); mpf_out_str (stdout, 2, 0, x); printf ("\ny = "); mpfr_dump (y); if (! SAME_SIGN (expected_inex, inex)) printf ("got ternary value = %+d, expected: %+d\n", inex, expected_inex); exit (1); } } /* y == positive random float */ mpfr_random2 (y, MPFR_LIMB_SIZE (y), 1024, RANDS); RND_LOOP (rnd) { inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd); if (! SAME_SIGN (inex, -mpfr_cmp_f (y, x))) { printf ("Error in mpfr_get_f (x, y, %s)\nx = ", mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); mpf_out_str (stdout, 2, 0, x); printf ("\ny = "); mpfr_dump (y); printf ("got ternary value = %+d, expected: %+d\n", inex, -mpfr_cmp_f (y, x)); exit (1); } } } mpf_clear (x); mpfr_clear (y); } int main (void) { mpf_t x; mpfr_t y, z; unsigned long i; mpfr_exp_t e; int inex; tests_start_mpfr (); mpfr_init (y); mpfr_init (z); mpf_init (x); i = 1; while (i) { mpfr_set_ui (y, i, MPFR_RNDN); if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, i)) { printf ("Error: mpfr_get_f(%lu) fails\n", i); exit (1); } if (i <= - (unsigned long) LONG_MIN) { long j = i < - (unsigned long) LONG_MIN ? - (long) i : LONG_MIN; mpfr_set_si (y, j, MPFR_RNDN); if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_si (x, j)) { printf ("Error: mpfr_get_f(-%lu) fails\n", i); exit (1); } } i *= 2; } /* same tests, but with a larger precision for y, which requires to round it */ mpfr_set_prec (y, 100); i = 1; while (i) { mpfr_set_ui (y, i, MPFR_RNDN); inex = mpfr_get_f (x, y, MPFR_RNDN); if (! SAME_SIGN (inex, - mpfr_cmp_f (y, x)) || mpf_cmp_ui (x, i)) { printf ("Error: mpfr_get_f(%lu) fails\n", i); exit (1); } mpfr_set_si (y, (signed long) -i, MPFR_RNDN); inex = mpfr_get_f (x, y, MPFR_RNDN); if (! SAME_SIGN (inex, - mpfr_cmp_f (y, x)) || mpf_cmp_si (x, (signed long) -i)) { printf ("Error: mpfr_get_f(-%lu) fails\n", i); exit (1); } i *= 2; } /* bug reported by Jim White */ for (e = 0; e <= 2 * GMP_NUMB_BITS; e++) { /* test with 2^(-e) */ mpfr_set_ui (y, 1, MPFR_RNDN); mpfr_div_2exp (y, y, e, MPFR_RNDN); inex = mpfr_get_f (x, y, MPFR_RNDN); mpf_mul_2exp (x, x, e); if (inex != 0 || mpf_cmp_ui (x, 1) != 0) { printf ("Error: mpfr_get_f(x,y,MPFR_RNDN) fails\n"); printf ("y="); mpfr_dump (y); printf ("x="); mpf_div_2exp (x, x, e); mpf_out_str (stdout, 2, 0, x); exit (1); } /* test with 2^(e) */ mpfr_set_ui (y, 1, MPFR_RNDN); mpfr_mul_2exp (y, y, e, MPFR_RNDN); inex = mpfr_get_f (x, y, MPFR_RNDN); mpf_div_2exp (x, x, e); if (inex != 0 || mpf_cmp_ui (x, 1) != 0) { printf ("Error: mpfr_get_f(x,y,MPFR_RNDN) fails\n"); printf ("y="); mpfr_dump (y); printf ("x="); mpf_mul_2exp (x, x, e); mpf_out_str (stdout, 2, 0, x); exit (1); } } /* Bug reported by Yury Lukach on 2006-04-05 */ mpfr_set_prec (y, 32); mpfr_set_prec (z, 32); mpf_set_prec (x, 32); mpfr_set_ui_2exp (y, 0xc1234567, -30, MPFR_RNDN); mpfr_get_f (x, y, MPFR_RNDN); inex = mpfr_set_f (z, x, MPFR_RNDN); if (inex != 0 || ! mpfr_equal_p (y, z)) { printf ("Error in mpfr_get_f:\n inex = %d, y = ", inex); mpfr_dump (z); printf ("Expected:\n inex = 0, y = "); mpfr_dump (y); exit (1); } mpfr_clear (y); mpfr_clear (z); mpf_clear (x); special_test (); prec_test (); ternary_test (); tests_end_mpfr (); return 0; }