| /* Test file for mpfr_sub. |
| |
| Copyright 2001-2016 Free Software Foundation, Inc. |
| Contributed by the AriC and Caramba 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 "mpfr-test.h" |
| |
| #ifdef CHECK_EXTERNAL |
| static int |
| test_sub (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t rnd_mode) |
| { |
| int res; |
| int ok = rnd_mode == MPFR_RNDN && mpfr_number_p (b) && mpfr_number_p (c); |
| if (ok) |
| { |
| mpfr_print_raw (b); |
| printf (" "); |
| mpfr_print_raw (c); |
| } |
| res = mpfr_sub (a, b, c, rnd_mode); |
| if (ok) |
| { |
| printf (" "); |
| mpfr_print_raw (a); |
| printf ("\n"); |
| } |
| return res; |
| } |
| #else |
| #define test_sub mpfr_sub |
| #endif |
| |
| static void |
| check_diverse (void) |
| { |
| mpfr_t x, y, z; |
| int inexact; |
| |
| mpfr_init (x); |
| mpfr_init (y); |
| mpfr_init (z); |
| |
| /* check corner case cancel=0, but add_exp=1 */ |
| mpfr_set_prec (x, 2); |
| mpfr_set_prec (y, 4); |
| mpfr_set_prec (z, 2); |
| mpfr_setmax (y, __gmpfr_emax); |
| mpfr_set_str_binary (z, "0.1E-10"); /* tiny */ |
| test_sub (x, y, z, MPFR_RNDN); /* should round to 2^emax, i.e. overflow */ |
| if (!mpfr_inf_p (x) || mpfr_sgn (x) < 0) |
| { |
| printf ("Error in mpfr_sub(a,b,c,RNDN) for b=maxfloat, prec(a)<prec(b), c tiny\n"); |
| exit (1); |
| } |
| |
| /* other coverage test */ |
| mpfr_set_prec (x, 2); |
| mpfr_set_prec (y, 2); |
| mpfr_set_prec (z, 2); |
| mpfr_set_ui (y, 1, MPFR_RNDN); |
| mpfr_set_si (z, -2, MPFR_RNDN); |
| test_sub (x, y, z, MPFR_RNDD); |
| if (mpfr_cmp_ui (x, 3)) |
| { |
| printf ("Error in mpfr_sub(1,-2,RNDD)\n"); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 288); |
| mpfr_set_prec (y, 288); |
| mpfr_set_prec (z, 288); |
| mpfr_set_str_binary (y, "0.111000110011000001000111101010111011110011101001101111111110000011100101000001001010110010101010011001010100000001110011110001010101101010001011101110100100001011110100110000101101100011010001001011011010101010000010001101001000110010010111111011110001111101001000101101001100101100101000E80"); |
| mpfr_set_str_binary (z, "0.100001111111101001011010001100110010100111001110000110011101001011010100001000000100111011010110110010000000000010101101011000010000110001110010100001100101011100100100001011000100011110000001010101000100011101001000010111100000111000111011001000100100011000100000010010111000000100100111E-258"); |
| inexact = test_sub (x, y, z, MPFR_RNDN); |
| if (inexact <= 0) |
| { |
| printf ("Wrong inexact flag for prec=288\n"); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 32); |
| mpfr_set_prec (y, 63); |
| mpfr_set_prec (z, 63); |
| mpfr_set_str_binary (x, "0.101101111011011100100100100111E31"); |
| mpfr_set_str_binary (y, "0.111110010010100100110101101010001001100101110001000101110111111E-1"); |
| test_sub (z, x, y, MPFR_RNDN); |
| mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31"); |
| if (mpfr_cmp (z, y)) |
| { |
| printf ("Error in mpfr_sub (5)\n"); |
| printf ("expected "); mpfr_print_binary (y); puts (""); |
| printf ("got "); mpfr_print_binary (z); puts (""); |
| exit (1); |
| } |
| |
| mpfr_set_prec (y, 63); |
| mpfr_set_prec (z, 63); |
| mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31"); |
| mpfr_sub_ui (z, y, 1541116494, MPFR_RNDN); |
| mpfr_set_str_binary (y, "-0.11111001001010010011010110101E-1"); |
| if (mpfr_cmp (z, y)) |
| { |
| printf ("Error in mpfr_sub (7)\n"); |
| printf ("expected "); mpfr_print_binary (y); puts (""); |
| printf ("got "); mpfr_print_binary (z); puts (""); |
| exit (1); |
| } |
| |
| mpfr_set_prec (y, 63); |
| mpfr_set_prec (z, 63); |
| mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31"); |
| mpfr_sub_ui (z, y, 1541116494, MPFR_RNDN); |
| mpfr_set_str_binary (y, "-0.11111001001010010011010110101E-1"); |
| if (mpfr_cmp (z, y)) |
| { |
| printf ("Error in mpfr_sub (6)\n"); |
| printf ("expected "); mpfr_print_binary (y); puts (""); |
| printf ("got "); mpfr_print_binary (z); puts (""); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 32); |
| mpfr_set_prec (y, 32); |
| mpfr_set_str_binary (x, "0.10110111101001110100100101111000E0"); |
| mpfr_set_str_binary (y, "0.10001100100101000100110111000100E0"); |
| if ((inexact = test_sub (x, x, y, MPFR_RNDN))) |
| { |
| printf ("Wrong inexact flag (2): got %d instead of 0\n", inexact); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 32); |
| mpfr_set_prec (y, 32); |
| mpfr_set_str_binary (x, "0.11111000110111011000100111011010E0"); |
| mpfr_set_str_binary (y, "0.10011111101111000100001000000000E-3"); |
| if ((inexact = test_sub (x, x, y, MPFR_RNDN))) |
| { |
| printf ("Wrong inexact flag (1): got %d instead of 0\n", inexact); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 33); |
| mpfr_set_prec (y, 33); |
| mpfr_set_ui (x, 1, MPFR_RNDN); |
| mpfr_set_str_binary (y, "-0.1E-32"); |
| mpfr_add (x, x, y, MPFR_RNDN); |
| mpfr_set_str_binary (y, "0.111111111111111111111111111111111E0"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_sub (1 - 1E-33) with prec=33\n"); |
| printf ("Expected "); mpfr_print_binary (y); puts (""); |
| printf ("got "); mpfr_print_binary (x); puts (""); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 32); |
| mpfr_set_prec (y, 33); |
| mpfr_set_ui (x, 1, MPFR_RNDN); |
| mpfr_set_str_binary (y, "-0.1E-32"); |
| mpfr_add (x, x, y, MPFR_RNDN); |
| if (mpfr_cmp_ui (x, 1)) |
| { |
| printf ("Error in mpfr_sub (1 - 1E-33) with prec=32\n"); |
| printf ("Expected 1.0, got "); mpfr_print_binary (x); puts (""); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 65); |
| mpfr_set_prec (y, 65); |
| mpfr_set_prec (z, 64); |
| mpfr_set_str_binary (x, "1.1110111011110001110111011111111111101000011001011100101100101101"); |
| mpfr_set_str_binary (y, "0.1110111011110001110111011111111111101000011001011100101100101100"); |
| test_sub (z, x, y, MPFR_RNDZ); |
| if (mpfr_cmp_ui (z, 1)) |
| { |
| printf ("Error in mpfr_sub (1)\n"); |
| exit (1); |
| } |
| test_sub (z, x, y, MPFR_RNDU); |
| mpfr_set_str_binary (x, "1.000000000000000000000000000000000000000000000000000000000000001"); |
| if (mpfr_cmp (z, x)) |
| { |
| printf ("Error in mpfr_sub (2)\n"); |
| printf ("Expected "); mpfr_print_binary (x); puts (""); |
| printf ("Got "); mpfr_print_binary (z); puts (""); |
| exit (1); |
| } |
| mpfr_set_str_binary (x, "1.1110111011110001110111011111111111101000011001011100101100101101"); |
| test_sub (z, x, y, MPFR_RNDN); |
| if (mpfr_cmp_ui (z, 1)) |
| { |
| printf ("Error in mpfr_sub (3)\n"); |
| exit (1); |
| } |
| inexact = test_sub (z, x, y, MPFR_RNDA); |
| mpfr_set_str_binary (x, "1.000000000000000000000000000000000000000000000000000000000000001"); |
| if (mpfr_cmp (z, x) || inexact <= 0) |
| { |
| printf ("Error in mpfr_sub (4)\n"); |
| exit (1); |
| } |
| mpfr_set_prec (x, 66); |
| mpfr_set_str_binary (x, "1.11101110111100011101110111111111111010000110010111001011001010111"); |
| test_sub (z, x, y, MPFR_RNDN); |
| if (mpfr_cmp_ui (z, 1)) |
| { |
| printf ("Error in mpfr_sub (5)\n"); |
| exit (1); |
| } |
| |
| /* check in-place operations */ |
| mpfr_set_ui (x, 1, MPFR_RNDN); |
| test_sub (x, x, x, MPFR_RNDN); |
| if (mpfr_cmp_ui(x, 0)) |
| { |
| printf ("Error for mpfr_sub (x, x, x, MPFR_RNDN) with x=1.0\n"); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 53); |
| mpfr_set_prec (y, 53); |
| mpfr_set_prec (z, 53); |
| mpfr_set_str1 (x, "1.229318102e+09"); |
| mpfr_set_str1 (y, "2.32221184180698677665e+05"); |
| test_sub (z, x, y, MPFR_RNDN); |
| if (mpfr_cmp_str1 (z, "1229085880.815819263458251953125")) |
| { |
| printf ("Error in mpfr_sub (1.22e9 - 2.32e5)\n"); |
| printf ("expected 1229085880.815819263458251953125, got "); |
| mpfr_out_str(stdout, 10, 0, z, MPFR_RNDN); |
| putchar('\n'); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 112); |
| mpfr_set_prec (y, 98); |
| mpfr_set_prec (z, 54); |
| mpfr_set_str_binary (x, "0.11111100100000000011000011100000101101010001000111E-401"); |
| mpfr_set_str_binary (y, "0.10110000100100000101101100011111111011101000111000101E-464"); |
| test_sub (z, x, y, MPFR_RNDN); |
| if (mpfr_cmp (z, x)) { |
| printf ("mpfr_sub(z, x, y) failed for prec(x)=112, prec(y)=98\n"); |
| printf ("expected "); mpfr_print_binary (x); puts (""); |
| printf ("got "); mpfr_print_binary (z); puts (""); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 33); |
| mpfr_set_ui (x, 1, MPFR_RNDN); |
| mpfr_div_2exp (x, x, 32, MPFR_RNDN); |
| mpfr_sub_ui (x, x, 1, MPFR_RNDN); |
| |
| mpfr_set_prec (x, 5); |
| mpfr_set_prec (y, 5); |
| mpfr_set_str_binary (x, "1e-12"); |
| mpfr_set_ui (y, 1, MPFR_RNDN); |
| test_sub (x, y, x, MPFR_RNDD); |
| mpfr_set_str_binary (y, "0.11111"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_sub (x, y, x, MPFR_RNDD) for x=2^(-12), y=1\n"); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 24); |
| mpfr_set_prec (y, 24); |
| mpfr_set_str_binary (x, "-0.100010000000000000000000E19"); |
| mpfr_set_str_binary (y, "0.100000000000000000000100E15"); |
| mpfr_add (x, x, y, MPFR_RNDD); |
| mpfr_set_str_binary (y, "-0.1E19"); |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error in mpfr_add (2)\n"); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 2); |
| mpfr_set_prec (y, 10); |
| mpfr_set_prec (z, 10); |
| mpfr_set_ui (y, 0, MPFR_RNDN); |
| mpfr_set_str_binary (z, "0.10001"); |
| if (test_sub (x, y, z, MPFR_RNDN) <= 0) |
| { |
| printf ("Wrong inexact flag in x=mpfr_sub(0,z) for prec(z)>prec(x)\n"); |
| exit (1); |
| } |
| if (test_sub (x, z, y, MPFR_RNDN) >= 0) |
| { |
| printf ("Wrong inexact flag in x=mpfr_sub(z,0) for prec(z)>prec(x)\n"); |
| exit (1); |
| } |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (z); |
| } |
| |
| static void |
| bug_ddefour(void) |
| { |
| mpfr_t ex, ex1, ex2, ex3, tot, tot1; |
| |
| mpfr_init2(ex, 53); |
| mpfr_init2(ex1, 53); |
| mpfr_init2(ex2, 53); |
| mpfr_init2(ex3, 53); |
| mpfr_init2(tot, 150); |
| mpfr_init2(tot1, 150); |
| |
| mpfr_set_ui( ex, 1, MPFR_RNDN); |
| mpfr_mul_2exp( ex, ex, 906, MPFR_RNDN); |
| mpfr_log( tot, ex, MPFR_RNDN); |
| mpfr_set( ex1, tot, MPFR_RNDN); /* ex1 = high(tot) */ |
| test_sub( ex2, tot, ex1, MPFR_RNDN); /* ex2 = high(tot - ex1) */ |
| test_sub( tot1, tot, ex1, MPFR_RNDN); /* tot1 = tot - ex1 */ |
| mpfr_set( ex3, tot1, MPFR_RNDN); /* ex3 = high(tot - ex1) */ |
| |
| if (mpfr_cmp(ex2, ex3)) |
| { |
| printf ("Error in ddefour test.\n"); |
| printf ("ex2="); mpfr_print_binary (ex2); puts (""); |
| printf ("ex3="); mpfr_print_binary (ex3); puts (""); |
| exit (1); |
| } |
| |
| mpfr_clear (ex); |
| mpfr_clear (ex1); |
| mpfr_clear (ex2); |
| mpfr_clear (ex3); |
| mpfr_clear (tot); |
| mpfr_clear (tot1); |
| } |
| |
| /* 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) |
| { |
| mpfr_t x, y, u, v, w; |
| mpfr_rnd_t rnd; |
| int inexact; |
| |
| mpfr_init2 (x, p); |
| mpfr_init2 (y, p); |
| mpfr_init2 (u, p); |
| mpfr_init2 (v, p); |
| mpfr_init2 (w, p); |
| mpfr_urandomb (x, RANDS); |
| mpfr_urandomb (y, RANDS); |
| if (mpfr_cmpabs (x, y) < 0) |
| mpfr_swap (x, y); |
| rnd = MPFR_RNDN; |
| inexact = test_sub (u, x, y, rnd); |
| test_sub (v, u, x, rnd); |
| mpfr_add (w, v, y, rnd); |
| /* as u = (x-y) - w, we should have inexact and w of opposite signs */ |
| 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)p, |
| mpfr_print_rnd_mode (rnd)); |
| printf ("x="); mpfr_print_binary(x); puts (""); |
| 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_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (u); |
| mpfr_clear (v); |
| mpfr_clear (w); |
| } |
| |
| #define MAX_PREC 200 |
| |
| static void |
| check_inexact (void) |
| { |
| mpfr_t x, y, z, u; |
| mpfr_prec_t px, py, pu, pz; |
| int inexact, cmp; |
| mpfr_rnd_t rnd; |
| |
| mpfr_init (x); |
| mpfr_init (y); |
| mpfr_init (z); |
| mpfr_init (u); |
| |
| mpfr_set_prec (x, 2); |
| mpfr_set_ui (x, 6, MPFR_RNDN); |
| mpfr_div_2exp (x, x, 4, MPFR_RNDN); /* x = 6/16 */ |
| mpfr_set_prec (y, 2); |
| mpfr_set_si (y, -1, MPFR_RNDN); |
| mpfr_div_2exp (y, y, 4, MPFR_RNDN); /* y = -1/16 */ |
| inexact = test_sub (y, y, x, MPFR_RNDN); /* y = round(-7/16) = -1/2 */ |
| if (inexact >= 0) |
| { |
| printf ("Error: wrong inexact flag for -1/16 - (6/16)\n"); |
| exit (1); |
| } |
| |
| for (px=2; px<MAX_PREC; px++) |
| { |
| mpfr_set_prec (x, px); |
| do |
| { |
| mpfr_urandomb (x, RANDS); |
| } |
| while (mpfr_cmp_ui (x, 0) == 0); |
| for (pu=2; pu<MAX_PREC; pu++) |
| { |
| mpfr_set_prec (u, pu); |
| do |
| { |
| mpfr_urandomb (u, RANDS); |
| } |
| while (mpfr_cmp_ui (u, 0) == 0); |
| { |
| py = 2 + (randlimb () % (MAX_PREC - 2)); |
| mpfr_set_prec (y, py); |
| /* warning: MPFR_EXP is undefined for 0 */ |
| pz = (mpfr_cmpabs (x, u) >= 0) ? MPFR_EXP(x) - MPFR_EXP(u) |
| : MPFR_EXP(u) - MPFR_EXP(x); |
| pz = pz + MAX(MPFR_PREC(x), MPFR_PREC(u)); |
| mpfr_set_prec (z, pz); |
| rnd = RND_RAND (); |
| if (test_sub (z, x, u, rnd)) |
| { |
| printf ("z <- x - u should be exact\n"); |
| exit (1); |
| } |
| { |
| rnd = RND_RAND (); |
| inexact = test_sub (y, x, u, rnd); |
| cmp = mpfr_cmp (y, z); |
| if (((inexact == 0) && (cmp != 0)) || |
| ((inexact > 0) && (cmp <= 0)) || |
| ((inexact < 0) && (cmp >= 0))) |
| { |
| printf ("Wrong inexact flag for rnd=%s\n", |
| mpfr_print_rnd_mode(rnd)); |
| printf ("expected %d, got %d\n", cmp, inexact); |
| printf ("x="); mpfr_print_binary (x); puts (""); |
| printf ("u="); mpfr_print_binary (u); puts (""); |
| printf ("y= "); mpfr_print_binary (y); puts (""); |
| printf ("x-u="); mpfr_print_binary (z); puts (""); |
| exit (1); |
| } |
| } |
| } |
| } |
| } |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (z); |
| mpfr_clear (u); |
| } |
| |
| /* Bug found by Jakub Jelinek |
| * http://bugzilla.redhat.com/643657 |
| * https://gforge.inria.fr/tracker/index.php?func=detail&aid=11301 |
| * The consequence can be either an assertion failure (i = 2 in the |
| * testcase below, in debug mode) or an incorrectly rounded value. |
| */ |
| static void |
| bug20101017 (void) |
| { |
| mpfr_t a, b, c; |
| int inex; |
| int i; |
| |
| mpfr_init2 (a, GMP_NUMB_BITS * 2); |
| mpfr_init2 (b, GMP_NUMB_BITS); |
| mpfr_init2 (c, GMP_NUMB_BITS); |
| |
| /* a = 2^(2N) + k.2^(2N-1) + 2^N and b = 1 |
| with N = GMP_NUMB_BITS and k = 0 or 1. |
| c = a - b should round to the same value as a. */ |
| |
| for (i = 2; i <= 3; i++) |
| { |
| mpfr_set_ui_2exp (a, i, GMP_NUMB_BITS - 1, MPFR_RNDN); |
| mpfr_add_ui (a, a, 1, MPFR_RNDN); |
| mpfr_mul_2ui (a, a, GMP_NUMB_BITS, MPFR_RNDN); |
| mpfr_set_ui (b, 1, MPFR_RNDN); |
| inex = mpfr_sub (c, a, b, MPFR_RNDN); |
| mpfr_set (b, a, MPFR_RNDN); |
| if (! mpfr_equal_p (c, b)) |
| { |
| printf ("Error in bug20101017 for i = %d.\n", i); |
| printf ("Expected "); |
| mpfr_out_str (stdout, 16, 0, b, MPFR_RNDN); |
| putchar ('\n'); |
| printf ("Got "); |
| mpfr_out_str (stdout, 16, 0, c, MPFR_RNDN); |
| putchar ('\n'); |
| exit (1); |
| } |
| if (inex >= 0) |
| { |
| printf ("Error in bug20101017 for i = %d: bad inex value.\n", i); |
| printf ("Expected negative, got %d.\n", inex); |
| exit (1); |
| } |
| } |
| |
| mpfr_set_prec (a, 64); |
| mpfr_set_prec (b, 129); |
| mpfr_set_prec (c, 2); |
| mpfr_set_str_binary (b, "0.100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001E65"); |
| mpfr_set_str_binary (c, "0.10E1"); |
| inex = mpfr_sub (a, b, c, MPFR_RNDN); |
| if (mpfr_cmp_ui_2exp (a, 1, 64) != 0 || inex >= 0) |
| { |
| printf ("Error in mpfr_sub for b-c for b=2^64+1+2^(-64), c=1\n"); |
| printf ("Expected result 2^64 with inex < 0\n"); |
| printf ("Got "); mpfr_print_binary (a); |
| printf (" with inex=%d\n", inex); |
| exit (1); |
| } |
| |
| mpfr_clears (a, b, c, (mpfr_ptr) 0); |
| } |
| |
| /* hard test of rounding */ |
| static void |
| check_rounding (void) |
| { |
| mpfr_t a, b, c, res; |
| mpfr_prec_t p; |
| long k, l; |
| int i; |
| |
| #define MAXKL (2 * GMP_NUMB_BITS) |
| for (p = MPFR_PREC_MIN; p <= GMP_NUMB_BITS; p++) |
| { |
| mpfr_init2 (a, p); |
| mpfr_init2 (res, p); |
| mpfr_init2 (b, p + 1 + MAXKL); |
| mpfr_init2 (c, MPFR_PREC_MIN); |
| |
| /* b = 2^p + 1 + 2^(-k), c = 2^(-l) */ |
| for (k = 0; k <= MAXKL; k++) |
| for (l = 0; l <= MAXKL; l++) |
| { |
| mpfr_set_ui_2exp (b, 1, p, MPFR_RNDN); |
| mpfr_add_ui (b, b, 1, MPFR_RNDN); |
| mpfr_mul_2ui (b, b, k, MPFR_RNDN); |
| mpfr_add_ui (b, b, 1, MPFR_RNDN); |
| mpfr_div_2ui (b, b, k, MPFR_RNDN); |
| mpfr_set_ui_2exp (c, 1, -l, MPFR_RNDN); |
| i = mpfr_sub (a, b, c, MPFR_RNDN); |
| /* b - c = 2^p + 1 + 2^(-k) - 2^(-l), should be rounded to |
| 2^p for l <= k, and 2^p+2 for l < k */ |
| if (l <= k) |
| { |
| if (mpfr_cmp_ui_2exp (a, 1, p) != 0) |
| { |
| printf ("Wrong result in check_rounding\n"); |
| printf ("p=%lu k=%ld l=%ld\n", (unsigned long) p, k, l); |
| printf ("b="); mpfr_print_binary (b); puts (""); |
| printf ("c="); mpfr_print_binary (c); puts (""); |
| printf ("Expected 2^%lu\n", (unsigned long) p); |
| printf ("Got "); mpfr_print_binary (a); puts (""); |
| exit (1); |
| } |
| if (i >= 0) |
| { |
| printf ("Wrong ternary value in check_rounding\n"); |
| printf ("p=%lu k=%ld l=%ld\n", (unsigned long) p, k, l); |
| printf ("b="); mpfr_print_binary (b); puts (""); |
| printf ("c="); mpfr_print_binary (c); puts (""); |
| printf ("a="); mpfr_print_binary (a); puts (""); |
| printf ("Expected < 0, got %d\n", i); |
| exit (1); |
| } |
| } |
| else /* l < k */ |
| { |
| mpfr_set_ui_2exp (res, 1, p, MPFR_RNDN); |
| mpfr_add_ui (res, res, 2, MPFR_RNDN); |
| if (mpfr_cmp (a, res) != 0) |
| { |
| printf ("Wrong result in check_rounding\n"); |
| printf ("b="); mpfr_print_binary (b); puts (""); |
| printf ("c="); mpfr_print_binary (c); puts (""); |
| printf ("Expected "); mpfr_print_binary (res); puts (""); |
| printf ("Got "); mpfr_print_binary (a); puts (""); |
| exit (1); |
| } |
| if (i <= 0) |
| { |
| printf ("Wrong ternary value in check_rounding\n"); |
| printf ("b="); mpfr_print_binary (b); puts (""); |
| printf ("c="); mpfr_print_binary (c); puts (""); |
| printf ("Expected > 0, got %d\n", i); |
| exit (1); |
| } |
| } |
| } |
| |
| mpfr_clear (a); |
| mpfr_clear (res); |
| mpfr_clear (b); |
| mpfr_clear (c); |
| } |
| } |
| |
| #define TEST_FUNCTION test_sub |
| #define TWO_ARGS |
| #define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), randlimb () % 100, RANDS) |
| #include "tgeneric.c" |
| |
| int |
| main (void) |
| { |
| mpfr_prec_t p; |
| unsigned int i; |
| |
| tests_start_mpfr (); |
| |
| bug20101017 (); |
| check_rounding (); |
| check_diverse (); |
| check_inexact (); |
| bug_ddefour (); |
| for (p=2; p<200; p++) |
| for (i=0; i<50; i++) |
| check_two_sum (p); |
| test_generic (2, 800, 100); |
| |
| tests_end_mpfr (); |
| return 0; |
| } |