| /* Test file for mpfr_{mul,div}_2{ui,si}. |
| |
| Copyright 1999, 2001, 2002, 2003, 2004, 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 2.1 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.LIB. If not, write to |
| the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, |
| MA 02110-1301, USA. */ |
| |
| #include <stdio.h> |
| #include <stdlib.h> |
| |
| #include "mpfr-test.h" |
| |
| static const char * const val[] = { |
| "1.0001@100","4.0004000000000@102", "4.0004000000000@97", |
| "1.ABF012345@-100","6.afc048d140000@-98","6.afc048d140000@-103", |
| "F.FFFFFFFFF@10000","3.fffffffffc000@10003","3.fffffffffc000@9998", |
| "1.23456789ABCDEF@42","4.8d159e26af37c@44","4.8d159e26af37c@39", |
| "17@42","5.c000000000000@45","5.c000000000000@40", |
| "42@-17","1.0800000000000@-13","1.0800000000000@-18" |
| }; |
| |
| static int |
| test_mul (int i, int div, mpfr_ptr y, mpfr_srcptr x, |
| unsigned long int n, mp_rnd_t r) |
| { |
| return |
| i == 0 ? (div ? mpfr_div_2ui : mpfr_mul_2ui) (y, x, n, r) : |
| i == 1 ? (div ? mpfr_div_2si : mpfr_mul_2si) (y, x, n, r) : |
| i == 2 ? (div ? mpfr_mul_2si : mpfr_div_2si) (y, x, -n, r) : |
| (exit (1), 0); |
| } |
| |
| static void |
| underflow (mp_exp_t e) |
| { |
| mpfr_t x, y, z1, z2; |
| mp_exp_t emin; |
| int i, k; |
| int prec; |
| int rnd; |
| int div; |
| int inex1, inex2; |
| unsigned int flags1, flags2; |
| |
| /* Test mul_2si(x, e - k), div_2si(x, k - e) and div_2ui(x, k - e) |
| * with emin = e, x = 1 + i/16, i in { -1, 0, 1 }, and k = 1 to 4, |
| * by comparing the result with the one of a simple division. |
| */ |
| emin = mpfr_get_emin (); |
| set_emin (e); |
| mpfr_inits2 (8, x, y, (mpfr_ptr) 0); |
| for (i = 15; i <= 17; i++) |
| { |
| inex1 = mpfr_set_ui_2exp (x, i, -4, GMP_RNDN); |
| MPFR_ASSERTN (inex1 == 0); |
| for (prec = 6; prec >= 3; prec -= 3) |
| { |
| mpfr_inits2 (prec, z1, z2, (mpfr_ptr) 0); |
| RND_LOOP (rnd) |
| for (k = 1; k <= 4; k++) |
| { |
| /* The following one is assumed to be correct. */ |
| inex1 = mpfr_mul_2si (y, x, e, GMP_RNDN); |
| MPFR_ASSERTN (inex1 == 0); |
| inex1 = mpfr_set_ui (z1, 1 << k, GMP_RNDN); |
| MPFR_ASSERTN (inex1 == 0); |
| mpfr_clear_flags (); |
| /* Do not use mpfr_div_ui to avoid the optimization |
| by mpfr_div_2si. */ |
| inex1 = mpfr_div (z1, y, z1, (mpfr_rnd_t) rnd); |
| flags1 = __gmpfr_flags; |
| |
| for (div = 0; div <= 2; div++) |
| { |
| mpfr_clear_flags (); |
| inex2 = div == 0 ? |
| mpfr_mul_2si (z2, x, e - k, (mpfr_rnd_t) rnd) : div == 1 ? |
| mpfr_div_2si (z2, x, k - e, (mpfr_rnd_t) rnd) : |
| mpfr_div_2ui (z2, x, k - e, (mpfr_rnd_t) rnd); |
| flags2 = __gmpfr_flags; |
| if (flags1 == flags2 && SAME_SIGN (inex1, inex2) && |
| mpfr_equal_p (z1, z2)) |
| continue; |
| printf ("Error in underflow("); |
| if (e == MPFR_EMIN_MIN) |
| printf ("MPFR_EMIN_MIN"); |
| else if (e == emin) |
| printf ("default emin"); |
| else |
| printf ("%ld", e); |
| printf (")\nwith %s, x = %d/16, prec = %d, k = %d, mpfr_%s", |
| div == 0 ? "mul_2si" : div == 1 ? "div_2si" : |
| "div_2ui", i, prec, k, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); |
| printf ("\nExpected "); |
| mpfr_out_str (stdout, 16, 0, z1, GMP_RNDN); |
| printf (", inex = %d, flags = %u\n", SIGN (inex1), flags1); |
| printf ("Got "); |
| mpfr_out_str (stdout, 16, 0, z2, GMP_RNDN); |
| printf (", inex = %d, flags = %u\n", SIGN (inex2), flags2); |
| exit (1); |
| } /* div */ |
| } /* k */ |
| mpfr_clears (z1, z2, (mpfr_ptr) 0); |
| } /* prec */ |
| } /* i */ |
| mpfr_clears (x, y, (mpfr_ptr) 0); |
| set_emin (emin); |
| } |
| |
| static void |
| underflow0 (void) |
| { |
| underflow (-256); |
| if (mpfr_get_emin () != MPFR_EMIN_MIN) |
| underflow (mpfr_get_emin ()); |
| underflow (MPFR_EMIN_MIN); |
| } |
| |
| int |
| main (int argc, char *argv[]) |
| { |
| mpfr_t w,z; |
| unsigned long k; |
| int i; |
| |
| tests_start_mpfr (); |
| |
| mpfr_inits2 (53, w, z, (mpfr_ptr) 0); |
| |
| for (i = 0; i < 3; i++) |
| { |
| mpfr_set_inf (w, 1); |
| test_mul (i, 0, w, w, 10, GMP_RNDZ); |
| if (!MPFR_IS_INF(w)) |
| { |
| printf ("Result is not Inf (i = %d)\n", i); |
| exit (1); |
| } |
| |
| mpfr_set_nan (w); |
| test_mul (i, 0, w, w, 10, GMP_RNDZ); |
| if (!MPFR_IS_NAN(w)) |
| { |
| printf ("Result is not NaN (i = %d)\n", i); |
| exit (1); |
| } |
| |
| for (k = 0 ; k < numberof(val) ; k+=3) |
| { |
| mpfr_set_str (w, val[k], 16, GMP_RNDN); |
| test_mul (i, 0, z, w, 10, GMP_RNDZ); |
| if (mpfr_cmp_str (z, val[k+1], 16, GMP_RNDN)) |
| { |
| printf ("ERROR for x * 2^n (i = %d) for %s\n", i, val[k]); |
| printf ("Expected: %s\n" |
| "Got : ", val[k+1]); |
| mpfr_out_str (stdout, 16, 0, z, GMP_RNDN); |
| putchar ('\n'); |
| exit (1); |
| } |
| test_mul (i, 1, z, w, 10, GMP_RNDZ); |
| if (mpfr_cmp_str (z, val[k+2], 16, GMP_RNDN)) |
| { |
| printf ("ERROR for x / 2^n (i = %d) for %s\n", i, val[k]); |
| printf ("Expected: %s\n" |
| "Got : ", val[k+2]); |
| mpfr_out_str (stdout, 16, 0, z, GMP_RNDN); |
| putchar ('\n'); |
| exit (1); |
| } |
| } |
| |
| mpfr_set_inf (w, 1); |
| mpfr_nextbelow (w); |
| test_mul (i, 0, w, w, 1, GMP_RNDN); |
| if (!mpfr_inf_p (w)) |
| { |
| printf ("Overflow error (i = %d)!\n", i); |
| exit (1); |
| } |
| mpfr_set_ui (w, 0, GMP_RNDN); |
| mpfr_nextabove (w); |
| test_mul (i, 1, w, w, 1, GMP_RNDN); |
| if (mpfr_cmp_ui (w, 0)) |
| { |
| printf ("Underflow error (i = %d)!\n", i); |
| exit (1); |
| } |
| } |
| |
| if (MPFR_EXP_MAX >= LONG_MAX/2 && MPFR_EXP_MIN <= LONG_MAX/2-LONG_MAX-1) |
| { |
| unsigned long lmp1 = (unsigned long) LONG_MAX + 1; |
| |
| mpfr_set_ui (w, 1, GMP_RNDN); |
| mpfr_mul_2ui (w, w, LONG_MAX/2, GMP_RNDZ); |
| mpfr_div_2ui (w, w, lmp1, GMP_RNDZ); |
| mpfr_mul_2ui (w, w, lmp1 - LONG_MAX/2, GMP_RNDZ); |
| if (!mpfr_cmp_ui (w, 1)) |
| { |
| printf ("Underflow LONG_MAX error!\n"); |
| exit (1); |
| } |
| } |
| |
| mpfr_clears (w, z, (mpfr_ptr) 0); |
| |
| underflow0 (); |
| |
| tests_end_mpfr (); |
| return 0; |
| } |