| /* Test file for mpfr_hypot. |
| |
| Copyright 2001, 2002, 2003, 2004, 2005, 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 <limits.h> |
| #include <stdlib.h> |
| |
| #include "mpfr-test.h" |
| |
| /* Non-zero when extended exponent range */ |
| static int ext = 0; |
| |
| static void |
| special (void) |
| { |
| mpfr_t x, y, z; |
| |
| mpfr_init (x); |
| mpfr_init (y); |
| mpfr_init (z); |
| |
| mpfr_set_nan (x); |
| mpfr_hypot (z, x, y, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_nan_p (z)); |
| |
| mpfr_set_inf (x, 1); |
| mpfr_set_inf (y, -1); |
| mpfr_hypot (z, x, y, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0); |
| |
| mpfr_set_inf (x, -1); |
| mpfr_set_nan (y); |
| mpfr_hypot (z, x, y, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0); |
| |
| mpfr_set_nan (x); |
| mpfr_set_inf (y, -1); |
| mpfr_hypot (z, x, y, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0); |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (z); |
| } |
| |
| static void |
| test_large (void) |
| { |
| mpfr_t x, y, z, t; |
| |
| mpfr_init (x); |
| mpfr_init (y); |
| mpfr_init (z); |
| mpfr_init (t); |
| |
| mpfr_set_ui (x, 21, GMP_RNDN); |
| mpfr_set_ui (y, 28, GMP_RNDN); |
| mpfr_set_ui (z, 35, GMP_RNDN); |
| |
| mpfr_mul_2ui (x, x, MPFR_EMAX_DEFAULT-6, GMP_RNDN); |
| mpfr_mul_2ui (y, y, MPFR_EMAX_DEFAULT-6, GMP_RNDN); |
| mpfr_mul_2ui (z, z, MPFR_EMAX_DEFAULT-6, GMP_RNDN); |
| |
| mpfr_hypot (t, x, y, GMP_RNDN); |
| if (mpfr_cmp (z, t)) |
| { |
| printf ("Error in test_large: got\n"); |
| mpfr_out_str (stdout, 2, 0, t, GMP_RNDN); |
| printf ("\ninstead of\n"); |
| mpfr_out_str (stdout, 2, 0, z, GMP_RNDN); |
| printf ("\n"); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 53); |
| mpfr_set_prec (t, 53); |
| mpfr_set_prec (y, 53); |
| mpfr_set_str_binary (x, "0.11101100011110000011101000010101010011001101000001100E-1021"); |
| mpfr_set_str_binary (y, "0.11111001010011000001110110001101011100001000010010100E-1021"); |
| mpfr_hypot (t, x, y, GMP_RNDN); |
| mpfr_set_str_binary (z, "0.101010111100110111101110111110100110010011001010111E-1020"); |
| if (mpfr_cmp (z, t)) |
| { |
| printf ("Error in test_large: got\n"); |
| mpfr_out_str (stdout, 2, 0, t, GMP_RNDN); |
| printf ("\ninstead of\n"); |
| mpfr_out_str (stdout, 2, 0, z, GMP_RNDN); |
| printf ("\n"); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 240); |
| mpfr_set_prec (y, 22); |
| mpfr_set_prec (z, 2); |
| mpfr_set_prec (t, 2); |
| mpfr_set_str_binary (x, "0.100111011010010010110100000100000001100010011100110101101111111101011110111011011101010110100101111000111100010100110000100101011110111011100110100110100101110101101100011000001100000001111101110100100100011011011010110111100110010101000111e-7"); |
| mpfr_set_str_binary (y, "0.1111000010000011000111E-10"); |
| mpfr_hypot (t, x, y, GMP_RNDN); |
| mpfr_set_str_binary (z, "0.11E-7"); |
| if (mpfr_cmp (z, t)) |
| { |
| printf ("Error in test_large: got\n"); |
| mpfr_out_str (stdout, 2, 0, t, GMP_RNDN); |
| printf ("\ninstead of\n"); |
| mpfr_out_str (stdout, 2, 0, z, GMP_RNDN); |
| printf ("\n"); |
| exit (1); |
| } |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (z); |
| mpfr_clear (t); |
| } |
| |
| static void |
| test_small (void) |
| { |
| mpfr_t x, y, z1, z2; |
| int inex1, inex2; |
| unsigned int flags; |
| |
| /* Test hypot(x,x) with x = 2^(emin-1). Result is x * sqrt(2). */ |
| mpfr_inits2 (8, x, y, z1, z2, (mpfr_ptr) 0); |
| mpfr_set_si_2exp (x, 1, mpfr_get_emin () - 1, GMP_RNDN); |
| mpfr_set_si_2exp (y, 1, mpfr_get_emin () - 1, GMP_RNDN); |
| mpfr_set_ui (z1, 2, GMP_RNDN); |
| inex1 = mpfr_sqrt (z1, z1, GMP_RNDN); |
| inex2 = mpfr_mul (z1, z1, x, GMP_RNDN); |
| MPFR_ASSERTN (inex2 == 0); |
| mpfr_clear_flags (); |
| inex2 = mpfr_hypot (z2, x, y, GMP_RNDN); |
| flags = __gmpfr_flags; |
| if (mpfr_cmp (z1, z2) != 0) |
| { |
| printf ("Error in test_small%s\nExpected ", |
| ext ? ", extended exponent range" : ""); |
| mpfr_out_str (stdout, 2, 0, z1, GMP_RNDN); |
| printf ("\nGot "); |
| mpfr_out_str (stdout, 2, 0, z2, GMP_RNDN); |
| printf ("\n"); |
| exit (1); |
| } |
| if (! SAME_SIGN (inex1, inex2)) |
| { |
| printf ("Bad ternary value in test_small%s\nExpected %d, got %d\n", |
| ext ? ", extended exponent range" : "", inex1, inex2); |
| exit (1); |
| } |
| if (flags != MPFR_FLAGS_INEXACT) |
| { |
| printf ("Bad flags in test_small%s\nExpected %u, got %u\n", |
| ext ? ", extended exponent range" : "", |
| (unsigned int) MPFR_FLAGS_INEXACT, flags); |
| exit (1); |
| } |
| mpfr_clears (x, y, z1, z2, (mpfr_ptr) 0); |
| } |
| |
| static void |
| test_large_small (void) |
| { |
| mpfr_t x, y, z; |
| int inexact, inex2, r; |
| |
| mpfr_init2 (x, 3); |
| mpfr_init2 (y, 2); |
| mpfr_init2 (z, 2); |
| |
| mpfr_set_ui_2exp (x, 1, mpfr_get_emax () / 2, GMP_RNDN); |
| mpfr_set_ui_2exp (y, 1, -1, GMP_RNDN); |
| inexact = mpfr_hypot (z, x, y, GMP_RNDN); |
| if (inexact >= 0 || mpfr_cmp (x, z)) |
| { |
| printf ("Error 1 in test_large_small%s\n", |
| ext ? ", extended exponent range" : ""); |
| exit (1); |
| } |
| |
| mpfr_mul_ui (x, x, 5, GMP_RNDN); |
| inexact = mpfr_hypot (z, x, y, GMP_RNDN); |
| if (mpfr_cmp (x, z) >= 0) |
| { |
| printf ("Error 2 in test_large_small%s\n", |
| ext ? ", extended exponent range" : ""); |
| printf ("x = "); |
| mpfr_out_str (stdout, 2, 0, x, GMP_RNDN); |
| printf ("\n"); |
| printf ("y = "); |
| mpfr_out_str (stdout, 2, 0, y, GMP_RNDN); |
| printf ("\n"); |
| printf ("z = "); |
| mpfr_out_str (stdout, 2, 0, z, GMP_RNDN); |
| printf (" (in precision 2) instead of\n "); |
| mpfr_out_str (stdout, 2, 2, x, GMP_RNDU); |
| printf ("\n"); |
| exit (1); |
| } |
| |
| RND_LOOP(r) |
| { |
| mpfr_set_ui_2exp (x, 1, mpfr_get_emax () - 1, GMP_RNDN); |
| mpfr_set_ui_2exp (y, 1, mpfr_get_emin (), GMP_RNDN); |
| inexact = mpfr_hypot (z, x, y, (mp_rnd_t) r); |
| inex2 = mpfr_add_ui (y, x, 1, (mp_rnd_t) r); |
| if (! mpfr_equal_p (y, z) || ! SAME_SIGN (inexact, inex2)) |
| { |
| printf ("Error 3 in test_large_small, %s%s\n", |
| mpfr_print_rnd_mode ((mp_rnd_t) r), |
| ext ? ", extended exponent range" : ""); |
| printf ("Expected "); |
| mpfr_out_str (stdout, 2, 0, y, GMP_RNDN); |
| printf (", inex %c 0\n", (mp_rnd_t) r == GMP_RNDU ? '>' : '<'); |
| printf ("Got "); |
| mpfr_out_str (stdout, 2, 0, y, GMP_RNDN); |
| printf (", inex = %d\n", inexact); |
| exit (1); |
| } |
| } |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (z); |
| } |
| |
| static void |
| check_overflow (void) |
| { |
| mpfr_t x, y; |
| int inex, r; |
| |
| mpfr_inits2 (8, x, y, (mpfr_ptr) 0); |
| mpfr_set_ui (x, 1, GMP_RNDN); |
| mpfr_setmax (x, mpfr_get_emax ()); |
| |
| RND_LOOP(r) |
| { |
| mpfr_clear_overflow (); |
| inex = mpfr_hypot (y, x, x, (mp_rnd_t) r); |
| if (!mpfr_overflow_p ()) |
| { |
| printf ("No overflow in check_overflow for %s%s\n", |
| mpfr_print_rnd_mode ((mp_rnd_t) r), |
| ext ? ", extended exponent range" : ""); |
| exit (1); |
| } |
| MPFR_ASSERTN (MPFR_IS_POS (y)); |
| if (r == GMP_RNDZ || r == GMP_RNDD) |
| { |
| MPFR_ASSERTN (inex < 0); |
| MPFR_ASSERTN (!mpfr_inf_p (y)); |
| mpfr_nexttoinf (y); |
| } |
| else |
| { |
| MPFR_ASSERTN (inex > 0); |
| } |
| MPFR_ASSERTN (mpfr_inf_p (y)); |
| } |
| |
| mpfr_clears (x, y, (mpfr_ptr) 0); |
| } |
| |
| #define TWO_ARGS |
| #define TEST_FUNCTION mpfr_hypot |
| #include "tgeneric.c" |
| |
| static void |
| alltst (void) |
| { |
| mp_exp_t emin, emax; |
| |
| ext = 0; |
| test_small (); |
| test_large_small (); |
| check_overflow (); |
| |
| emin = mpfr_get_emin (); |
| emax = mpfr_get_emax (); |
| set_emin (MPFR_EMIN_MIN); |
| set_emax (MPFR_EMAX_MAX); |
| if (mpfr_get_emin () != emin || mpfr_get_emax () != emax) |
| { |
| ext = 1; |
| test_small (); |
| test_large_small (); |
| check_overflow (); |
| set_emin (emin); |
| set_emax (emax); |
| } |
| } |
| |
| int |
| main (int argc, char *argv[]) |
| { |
| tests_start_mpfr (); |
| |
| special (); |
| |
| test_large (); |
| alltst (); |
| |
| test_generic (2, 100, 10); |
| |
| tests_end_mpfr (); |
| return 0; |
| } |