X-Git-Url: https://oss.titaniummirror.com/gitweb?a=blobdiff_plain;f=mpfr%2Ftests%2Fthypot.c;fp=mpfr%2Ftests%2Fthypot.c;h=d4e7baf0fcbb849584e89e6723b26d229fc2bddd;hb=6fed43773c9b0ce596dca5686f37ac3fc0fa11c0;hp=0000000000000000000000000000000000000000;hpb=27b11d56b743098deb193d510b337ba22dc52e5c;p=msp430-gcc.git diff --git a/mpfr/tests/thypot.c b/mpfr/tests/thypot.c new file mode 100644 index 00000000..d4e7baf0 --- /dev/null +++ b/mpfr/tests/thypot.c @@ -0,0 +1,326 @@ +/* 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 +#include +#include + +#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; +}