/* Test file for mpfr_get_f. Copyright 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc. Contributed by the Arenaire 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; }