/* Test file for mpfr_agm. Copyright 1999, 2001, 2002, 2003, 2004 Free Software Foundation, Inc. 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 "mpfr-test.h" #define check(a,b,r) check4(a,b,r,0.0) static void check4 (const char *as, const char *bs, mp_rnd_t rnd_mode, const char *res) { mpfr_t ta, tb, tres; mpfr_inits2(53, ta, tb, tres, NULL); mpfr_set_str1 (ta, as); mpfr_set_str1 (tb, bs); mpfr_agm(tres, ta, tb, rnd_mode); if (mpfr_cmp_str1 (tres, res)) { printf ("mpfr_agm failed for a=%s, b=%s, rnd_mode=%d\n",as,bs,rnd_mode); printf ("expected result is %s, got ",res); mpfr_out_str(stdout, 10, 0, tres, GMP_RNDN); putchar('\n'); exit (1); } mpfr_clears (ta, tb, tres, NULL); } static void check_large (void) { mpfr_t a, b, agm; int inex; mpfr_init2 (a, 82); mpfr_init2 (b, 82); mpfr_init2 (agm, 82); mpfr_set_ui (a, 1, GMP_RNDN); mpfr_set_str_binary (b, "0.1111101100001000000001011000110111101000001011111000100001000101010100011111110010E-39"); mpfr_agm (agm, a, b, GMP_RNDN); mpfr_set_str_binary (a, "0.1110001000111101101010101010101101001010001001001011100101111011110101111001111100E-4"); if (mpfr_cmp (agm, a)) { printf ("mpfr_agm failed for precision 82\n"); exit (1); } /* problem found by Damien Fischer 4 Aug 2003: produced a division by zero exception */ mpfr_set_prec (a, 268); mpfr_set_prec (b, 268); mpfr_set_prec (agm, 268); mpfr_set_str (a, "703.93543315330225238487276503953366664991725089988315253092140138947103394917006", 10, GMP_RNDN); mpfr_set_str (b, "703.93543315330225238487279020523738740563816490895994499256063816906728642622316", 10, GMP_RNDN); mpfr_agm (agm, a, b, GMP_RNDN); mpfr_set_prec (a, 18); mpfr_set_prec (b, 70); mpfr_set_prec (agm, 67); mpfr_set_str_binary (a, "0.111001111100101000e8"); mpfr_set_str_binary (b, "0.1101110111100100010100110000010111011011011100110100111001010100100001e10"); inex = mpfr_agm (agm, a, b, GMP_RNDN); mpfr_set_str_binary (b, "0.1111110010011101101100010101011011010010010000001010100011000110011e9"); if (mpfr_cmp (agm, b)) { printf ("Error in mpfr_agm (1)\n"); exit (1); } if (inex >= 0) { printf ("Wrong flag for mpfr_agm (1)\n"); exit (1); } /* test worst case: 9 consecutive ones after the last bit */ mpfr_set_prec (a, 2); mpfr_set_prec (b, 2); mpfr_set_ui (a, 1, GMP_RNDN); mpfr_set_ui (b, 2, GMP_RNDN); mpfr_set_prec (agm, 904); mpfr_agm (agm, a, b, GMP_RNDZ); mpfr_clear (a); mpfr_clear (b); mpfr_clear (agm); } static void check_nans (void) { mpfr_t x, y, m; mpfr_init2 (x, 123L); mpfr_init2 (y, 123L); mpfr_init2 (m, 123L); /* agm(1,nan) == nan */ mpfr_set_ui (x, 1L, GMP_RNDN); mpfr_set_nan (y); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (mpfr_nan_p (m)); /* agm(1,+inf) == +inf */ mpfr_set_ui (x, 1L, GMP_RNDN); mpfr_set_inf (y, 1); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (mpfr_inf_p (m)); MPFR_ASSERTN (mpfr_sgn (m) > 0); /* agm(+inf,+inf) == +inf */ mpfr_set_inf (x, 1); mpfr_set_inf (y, 1); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (mpfr_inf_p (m)); MPFR_ASSERTN (mpfr_sgn (m) > 0); /* agm(-inf,+inf) == nan */ mpfr_set_inf (x, -1); mpfr_set_inf (y, 1); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (mpfr_nan_p (m)); /* agm(+0,+inf) == nan */ mpfr_set_ui (x, 0, GMP_RNDN); mpfr_set_inf (y, 1); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (mpfr_nan_p (m)); /* agm(+0,1) == +0 */ mpfr_set_ui (x, 0, GMP_RNDN); mpfr_set_ui (y, 1, GMP_RNDN); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m)); /* agm(-0,1) == +0 */ mpfr_set_ui (x, 0, GMP_RNDN); mpfr_neg (x, x, GMP_RNDN); mpfr_set_ui (y, 1, GMP_RNDN); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m)); /* agm(-0,+0) == +0 */ mpfr_set_ui (x, 0, GMP_RNDN); mpfr_neg (x, x, GMP_RNDN); mpfr_set_ui (y, 0, GMP_RNDN); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m)); /* agm(1,1) == 1 */ mpfr_set_ui (x, 1, GMP_RNDN); mpfr_set_ui (y, 1, GMP_RNDN); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (mpfr_cmp_ui (m ,1) == 0); /* agm(-1,-2) == NaN */ mpfr_set_si (x, -1, GMP_RNDN); mpfr_set_si (y, -2, GMP_RNDN); mpfr_agm (m, x, y, GMP_RNDN); MPFR_ASSERTN (mpfr_nan_p (m)); mpfr_clear (x); mpfr_clear (y); mpfr_clear (m); } #define TEST_FUNCTION mpfr_agm #define TWO_ARGS #include "tgeneric.c" int main (int argc, char* argv[]) { MPFR_TEST_USE_RANDS (); tests_start_mpfr (); check_nans (); check_large (); check4 ("2.0", "1.0", GMP_RNDN, "1.45679103104690677029"); check4 ("6.0", "4.0", GMP_RNDN, "4.94936087247260925182"); check4 ("62.0", "61.0", GMP_RNDN, "6.14989837188450749750e+01"); check4 ("0.5", "1.0", GMP_RNDN, "7.28395515523453385143e-01"); check4 ("1.0", "2.0", GMP_RNDN, "1.45679103104690677029"); check4 ("234375765.0", "234375000.0", GMP_RNDN, "2.3437538249984395504e8"); check4 ("8.0", "1.0", GMP_RNDU, "3.615756177597362786"); check4 ("1.0", "44.0", GMP_RNDU, "1.33658354512981247808e1"); check4 ("1.0", "3.7252902984619140625e-9", GMP_RNDU, "7.55393356971199025907e-02"); test_generic (2, 300, 17); tests_end_mpfr (); return 0; }