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Diffstat (limited to 'tests/tui_sub.c')
-rw-r--r-- | tests/tui_sub.c | 301 |
1 files changed, 301 insertions, 0 deletions
diff --git a/tests/tui_sub.c b/tests/tui_sub.c new file mode 100644 index 0000000..9d6b1e1 --- /dev/null +++ b/tests/tui_sub.c @@ -0,0 +1,301 @@ +/* Test file for mpfr_ui_sub. + +Copyright 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc. +Contributed by the AriC 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 <stdio.h> +#include <stdlib.h> +#include <float.h> + +#include "mpfr-test.h" + +static void +special (void) +{ + mpfr_t x, y, res; + int inexact; + + mpfr_init (x); + mpfr_init (y); + mpfr_init (res); + + mpfr_set_prec (x, 24); + mpfr_set_prec (y, 24); + mpfr_set_str_binary (y, "0.111100110001011010111"); + inexact = mpfr_ui_sub (x, 1, y, MPFR_RNDN); + if (inexact) + { + printf ("Wrong inexact flag: got %d, expected 0\n", inexact); + exit (1); + } + + mpfr_set_prec (x, 24); + mpfr_set_prec (y, 24); + mpfr_set_str_binary (y, "0.111100110001011010111"); + if ((inexact = mpfr_ui_sub (x, 38181761, y, MPFR_RNDN)) >= 0) + { + printf ("Wrong inexact flag: got %d, expected -1\n", inexact); + exit (1); + } + + mpfr_set_prec (x, 63); + mpfr_set_prec (y, 63); + mpfr_set_str_binary (y, "0.111110010010100100110101101010001001100101110001000101110111111E-1"); + if ((inexact = mpfr_ui_sub (x, 1541116494, y, MPFR_RNDN)) <= 0) + { + printf ("Wrong inexact flag: got %d, expected +1\n", inexact); + exit (1); + } + + mpfr_set_prec (x, 32); + mpfr_set_prec (y, 32); + mpfr_set_str_binary (y, "0.11011000110111010001011100011100E-1"); + if ((inexact = mpfr_ui_sub (x, 2000375416, y, MPFR_RNDN)) >= 0) + { + printf ("Wrong inexact flag: got %d, expected -1\n", inexact); + exit (1); + } + + mpfr_set_prec (x, 24); + mpfr_set_prec (y, 24); + mpfr_set_str_binary (y, "0.110011011001010011110111E-2"); + if ((inexact = mpfr_ui_sub (x, 927694848, y, MPFR_RNDN)) <= 0) + { + printf ("Wrong inexact flag: got %d, expected +1\n", inexact); + exit (1); + } + + /* bug found by Mathieu Dutour, 12 Apr 2001 */ + mpfr_set_prec (x, 5); + mpfr_set_prec (y, 5); + mpfr_set_prec (res, 5); + mpfr_set_str_binary (x, "1e-12"); + + mpfr_ui_sub (y, 1, x, MPFR_RNDD); + mpfr_set_str_binary (res, "0.11111"); + if (mpfr_cmp (y, res)) + { + printf ("Error in mpfr_ui_sub (y, 1, x, MPFR_RNDD) for x=2^(-12)\nexpected 1.1111e-1, got "); + mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); + printf ("\n"); + exit (1); + } + + mpfr_ui_sub (y, 1, x, MPFR_RNDU); + mpfr_set_str_binary (res, "1.0"); + if (mpfr_cmp (y, res)) + { + printf ("Error in mpfr_ui_sub (y, 1, x, MPFR_RNDU) for x=2^(-12)\n" + "expected 1.0, got "); + mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); + printf ("\n"); + exit (1); + } + + mpfr_ui_sub (y, 1, x, MPFR_RNDN); + mpfr_set_str_binary (res, "1.0"); + if (mpfr_cmp (y, res)) + { + printf ("Error in mpfr_ui_sub (y, 1, x, MPFR_RNDN) for x=2^(-12)\n" + "expected 1.0, got "); + mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); + printf ("\n"); + exit (1); + } + + mpfr_set_prec (x, 10); + mpfr_set_prec (y, 10); + mpfr_urandomb (x, RANDS); + mpfr_ui_sub (y, 0, x, MPFR_RNDN); + if (MPFR_IS_ZERO(x)) + MPFR_ASSERTN(MPFR_IS_ZERO(y)); + else + MPFR_ASSERTN(mpfr_cmpabs (x, y) == 0 && mpfr_sgn (x) != mpfr_sgn (y)); + + mpfr_set_prec (x, 73); + mpfr_set_str_binary (x, "0.1101111010101011011011100011010000000101110001011111001011011000101111101E-99"); + mpfr_ui_sub (x, 1, x, MPFR_RNDZ); + mpfr_nextabove (x); + MPFR_ASSERTN(mpfr_cmp_ui (x, 1) == 0); + + mpfr_clear (x); + mpfr_clear (y); + mpfr_clear (res); +} + +/* checks that (y-x) gives the right results with 53 bits of precision */ +static void +check (unsigned long y, const char *xs, mpfr_rnd_t rnd_mode, const char *zs) +{ + mpfr_t xx, zz; + + mpfr_inits2 (53, xx, zz, (mpfr_ptr) 0); + mpfr_set_str1 (xx, xs); + mpfr_ui_sub (zz, y, xx, rnd_mode); + if (mpfr_cmp_str1 (zz, zs) ) + { + printf ("expected difference is %s, got\n",zs); + mpfr_out_str(stdout, 10, 0, zz, MPFR_RNDN); + printf ("mpfr_ui_sub failed for y=%lu x=%s with rnd_mode=%s\n", + y, xs, mpfr_print_rnd_mode (rnd_mode)); + exit (1); + } + mpfr_clears (xx, zz, (mpfr_ptr) 0); +} + +/* if u = o(x-y), v = o(u-x), w = o(v+y), then x-y = u-w */ +static void +check_two_sum (mpfr_prec_t p) +{ + unsigned int x; + mpfr_t y, u, v, w; + mpfr_rnd_t rnd; + int inexact; + + mpfr_inits2 (p, y, u, v, w, (mpfr_ptr) 0); + do + { + x = randlimb (); + } + while (x < 1); + mpfr_urandomb (y, RANDS); + rnd = MPFR_RNDN; + inexact = mpfr_ui_sub (u, x, y, rnd); + mpfr_sub_ui (v, u, x, rnd); + mpfr_add (w, v, y, rnd); + /* as u = (x-y) + w, we should have inexact and w of same sign */ + if (((inexact == 0) && mpfr_cmp_ui (w, 0)) || + ((inexact > 0) && (mpfr_cmp_ui (w, 0) <= 0)) || + ((inexact < 0) && (mpfr_cmp_ui (w, 0) >= 0))) + { + printf ("Wrong inexact flag for prec=%u, rnd=%s\n", + (unsigned int) p, mpfr_print_rnd_mode (rnd)); + printf ("x=%u\n", x); + printf ("y="); mpfr_print_binary(y); puts (""); + printf ("u="); mpfr_print_binary(u); puts (""); + printf ("v="); mpfr_print_binary(v); puts (""); + printf ("w="); mpfr_print_binary(w); puts (""); + printf ("inexact = %d\n", inexact); + exit (1); + } + mpfr_clears (y, u, v, w, (mpfr_ptr) 0); +} + +static void +check_nans (void) +{ + mpfr_t x, y; + + mpfr_init2 (x, 123L); + mpfr_init2 (y, 123L); + + /* 1 - nan == nan */ + mpfr_set_nan (x); + mpfr_ui_sub (y, 1L, x, MPFR_RNDN); + MPFR_ASSERTN (mpfr_nan_p (y)); + + /* 1 - +inf == -inf */ + mpfr_set_inf (x, 1); + mpfr_ui_sub (y, 1L, x, MPFR_RNDN); + MPFR_ASSERTN (mpfr_inf_p (y)); + MPFR_ASSERTN (mpfr_sgn (y) < 0); + + /* 1 - -inf == +inf */ + mpfr_set_inf (x, -1); + mpfr_ui_sub (y, 1L, x, MPFR_RNDN); + MPFR_ASSERTN (mpfr_inf_p (y)); + MPFR_ASSERTN (mpfr_sgn (y) > 0); + + mpfr_clear (x); + mpfr_clear (y); +} + +/* Check mpfr_ui_sub with u = 0 (unsigned). */ +static void check_neg (void) +{ + mpfr_t x, yneg, ysub; + int i, s; + int r; + + mpfr_init2 (x, 64); + mpfr_init2 (yneg, 32); + mpfr_init2 (ysub, 32); + + for (i = 0; i <= 25; i++) + { + mpfr_sqrt_ui (x, i, MPFR_RNDN); + for (s = 0; s <= 1; s++) + { + RND_LOOP (r) + { + int tneg, tsub; + + tneg = mpfr_neg (yneg, x, (mpfr_rnd_t) r); + tsub = mpfr_ui_sub (ysub, 0, x, (mpfr_rnd_t) r); + MPFR_ASSERTN (mpfr_equal_p (yneg, ysub)); + MPFR_ASSERTN (!(MPFR_IS_POS (yneg) ^ MPFR_IS_POS (ysub))); + MPFR_ASSERTN (tneg == tsub); + } + mpfr_neg (x, x, MPFR_RNDN); + } + } + + mpfr_clear (x); + mpfr_clear (yneg); + mpfr_clear (ysub); +} + +int +main (int argc, char *argv[]) +{ + mpfr_prec_t p; + unsigned k; + + tests_start_mpfr (); + + check_nans (); + + special (); + for (p=2; p<100; p++) + for (k=0; k<100; k++) + check_two_sum (p); + + check(1196426492, "1.4218093058435347e-3", MPFR_RNDN, + "1.1964264919985781e9"); + check(1092583421, "-1.0880649218158844e9", MPFR_RNDN, + "2.1806483428158845901e9"); + check(948002822, "1.22191250737771397120e+20", MPFR_RNDN, + "-1.2219125073682338611e20"); + check(832100416, "4.68311314939691330000e-215", MPFR_RNDD, + "8.3210041599999988079e8"); + check(1976245324, "1.25296395864546893357e+232", MPFR_RNDZ, + "-1.2529639586454686577e232"); + check(2128997392, "-1.08496826129284207724e+187", MPFR_RNDU, + "1.0849682612928422704e187"); + check(293607738, "-1.9967571564050541e-5", MPFR_RNDU, + "2.9360773800002003e8"); + check(354270183, "2.9469161763489528e3", MPFR_RNDN, + "3.5426723608382362e8"); + + check_neg (); + + tests_end_mpfr (); + return 0; +} |