/* Test file for mpfr_add_[q,z], mpfr_sub_[q,z], mpfr_div_[q,z],
mpfr_mul_[q,z], mpfr_cmp_[f,q,z]
Copyright 2004-2017 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"
#define CHECK_FOR(str, cond) \
if ((cond) == 0) { \
printf ("Special case error %s. Ternary value = %d, flags = %u\n", \
str, res, __gmpfr_flags); \
printf ("Got "); mpfr_dump (y); \
printf ("X = "); mpfr_dump (x); \
printf ("Q = "); mpz_dump (mpq_numref(q)); \
printf (" /"); mpz_dump (mpq_denref(q)); \
exit (1); \
}
#define CHECK_FORZ(str, cond) \
if ((cond) == 0) { \
printf ("Special case error %s. Ternary value = %d, flags = %u\n", \
str, res, __gmpfr_flags); \
printf ("Got "); mpfr_dump (y); \
printf ("X = "); mpfr_dump (x); \
printf ("Z = "); mpz_dump (z); \
exit (1); \
}
static void
special (void)
{
mpfr_t x, y;
mpq_t q;
mpz_t z;
int res = 0;
mpfr_init (x);
mpfr_init (y);
mpq_init (q);
mpz_init (z);
/* cancellation in mpfr_add_q */
mpfr_set_prec (x, 60);
mpfr_set_prec (y, 20);
mpz_set_str (mpq_numref (q), "-187207494", 10);
mpz_set_str (mpq_denref (q), "5721", 10);
mpfr_set_str_binary (x, "11111111101001011011100101100011011110010011100010000100001E-44");
mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("cancelation in add_q", mpfr_cmp_ui_2exp (y, 256783, -64) == 0);
mpfr_set_prec (x, 19);
mpfr_set_str_binary (x, "0.1011110101110011100E0");
mpz_set_str (mpq_numref (q), "187207494", 10);
mpz_set_str (mpq_denref (q), "5721", 10);
mpfr_set_prec (y, 29);
mpfr_add_q (y, x, q, MPFR_RNDD);
mpfr_set_prec (x, 29);
mpfr_set_str_binary (x, "11111111101001110011010001001E-14");
CHECK_FOR ("cancelation in add_q", mpfr_cmp (x,y) == 0);
/* Inf */
mpfr_set_inf (x, 1);
mpz_set_str (mpq_numref (q), "395877315", 10);
mpz_set_str (mpq_denref (q), "3508975966", 10);
mpfr_set_prec (y, 118);
mpfr_add_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("inf", mpfr_inf_p (y) && mpfr_sgn (y) > 0);
mpfr_sub_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("inf", mpfr_inf_p (y) && mpfr_sgn (y) > 0);
/* Nan */
MPFR_SET_NAN (x);
mpfr_add_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("nan", mpfr_nan_p (y));
mpfr_sub_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("nan", mpfr_nan_p (y));
/* Exact value */
mpfr_set_prec (x, 60);
mpfr_set_prec (y, 60);
mpfr_set_str1 (x, "0.5");
mpz_set_str (mpq_numref (q), "3", 10);
mpz_set_str (mpq_denref (q), "2", 10);
res = mpfr_add_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("0.5+3/2", mpfr_cmp_ui(y, 2)==0 && res==0);
res = mpfr_sub_q (y, x, q, MPFR_RNDU);
CHECK_FOR ("0.5-3/2", mpfr_cmp_si(y, -1)==0 && res==0);
/* Inf Rationnal */
mpq_set_ui (q, 1, 0);
mpfr_set_str1 (x, "0.5");
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5+1/0", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5-1/0", mpfr_inf_p (y) && MPFR_SIGN (y) < 0 && res == 0);
mpq_set_si (q, -1, 0);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5+ -1/0", mpfr_inf_p (y) && MPFR_SIGN (y) < 0 && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5- -1/0", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0);
res = mpfr_div_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("0.5 / (-1/0)", mpfr_zero_p (y) && MPFR_SIGN (y) < 0 && res == 0);
mpq_set_ui (q, 1, 0);
mpfr_set_inf (x, 1);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("+Inf + +Inf", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("+Inf - +Inf", MPFR_IS_NAN (y) && res == 0);
mpfr_set_inf (x, -1);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("-Inf + +Inf", MPFR_IS_NAN (y) && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("-Inf - +Inf", mpfr_inf_p (y) && MPFR_SIGN (y) < 0 && res == 0);
mpq_set_si (q, -1, 0);
mpfr_set_inf (x, 1);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("+Inf + -Inf", MPFR_IS_NAN (y) && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("+Inf - -Inf", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0);
mpfr_set_inf (x, -1);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("-Inf + -Inf", mpfr_inf_p (y) && MPFR_SIGN (y) < 0 && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("-Inf - -Inf", MPFR_IS_NAN (y) && res == 0);
/* 0 */
mpq_set_ui (q, 0, 1);
mpfr_set_ui (x, 42, MPFR_RNDN);
res = mpfr_add_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("42+0/1", mpfr_cmp_ui (y, 42) == 0 && res == 0);
res = mpfr_sub_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("42-0/1", mpfr_cmp_ui (y, 42) == 0 && res == 0);
res = mpfr_mul_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("42*0/1", mpfr_zero_p (y) && MPFR_SIGN (y) > 0 && res == 0);
mpfr_clear_flags ();
res = mpfr_div_q (y, x, q, MPFR_RNDN);
CHECK_FOR ("42/(0/1)", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0
&& mpfr_divby0_p ());
mpz_set_ui (z, 0);
mpfr_clear_flags ();
res = mpfr_div_z (y, x, z, MPFR_RNDN);
CHECK_FORZ ("42/0", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0
&& mpfr_divby0_p ());
mpz_clear (z);
mpq_clear (q);
mpfr_clear (x);
mpfr_clear (y);
}
static void
check_for_zero (void)
{
/* Check that 0 is unsigned! */
mpq_t q;
mpz_t z;
mpfr_t x;
int r;
mpfr_sign_t i;
mpfr_init (x);
mpz_init (z);
mpq_init (q);
mpz_set_ui (z, 0);
mpq_set_ui (q, 0, 1);
MPFR_SET_ZERO (x);
RND_LOOP (r)
{
for (i = MPFR_SIGN_NEG ; i <= MPFR_SIGN_POS ;
i+=MPFR_SIGN_POS-MPFR_SIGN_NEG)
{
MPFR_SET_SIGN(x, i);
mpfr_add_z (x, x, z, (mpfr_rnd_t) r);
if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i)
{
printf("GMP Zero errors for add_z & rnd=%s & s=%d\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
mpfr_dump (x);
exit (1);
}
mpfr_sub_z (x, x, z, (mpfr_rnd_t) r);
if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i)
{
printf("GMP Zero errors for sub_z & rnd=%s & s=%d\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
mpfr_dump (x);
exit (1);
}
mpfr_mul_z (x, x, z, (mpfr_rnd_t) r);
if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i)
{
printf("GMP Zero errors for mul_z & rnd=%s & s=%d\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
mpfr_dump (x);
exit (1);
}
mpfr_add_q (x, x, q, (mpfr_rnd_t) r);
if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i)
{
printf("GMP Zero errors for add_q & rnd=%s & s=%d\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
mpfr_dump (x);
exit (1);
}
mpfr_sub_q (x, x, q, (mpfr_rnd_t) r);
if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i)
{
printf("GMP Zero errors for sub_q & rnd=%s & s=%d\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r), i);
mpfr_dump (x);
exit (1);
}
}
}
mpq_clear (q);
mpz_clear (z);
mpfr_clear (x);
}
static void
test_cmp_z (mpfr_prec_t pmin, mpfr_prec_t pmax, int nmax)
{
mpfr_t x, z;
mpz_t y;
mpfr_prec_t p;
int res1, res2;
int n;
mpfr_init (x);
mpfr_init2 (z, MPFR_PREC_MIN);
mpz_init (y);
/* check the erange flag when x is NaN */
mpfr_set_nan (x);
mpz_set_ui (y, 17);
mpfr_clear_erangeflag ();
res1 = mpfr_cmp_z (x, y);
if (res1 != 0 || mpfr_erangeflag_p () == 0)
{
printf ("Error for mpfr_cmp_z (NaN, 17)\n");
printf ("Return value: expected 0, got %d\n", res1);
printf ("Erange flag: expected set, got %d\n", mpfr_erangeflag_p ());
exit (1);
}
for(p=pmin ; p < pmax ; p++)
{
mpfr_set_prec (x, p);
for ( n = 0; n < nmax ; n++)
{
mpfr_urandomb (x, RANDS);
mpz_urandomb (y, RANDS, 1024);
if (!MPFR_IS_SINGULAR (x))
{
mpfr_sub_z (z, x, y, MPFR_RNDN);
res1 = mpfr_sgn (z);
res2 = mpfr_cmp_z (x, y);
if (res1 != res2)
{
printf("Error for mpfr_cmp_z: res=%d sub_z gives %d\n",
res2, res1);
exit (1);
}
}
}
}
mpz_clear (y);
mpfr_clear (x);
mpfr_clear (z);
}
static void
test_cmp_q (mpfr_prec_t pmin, mpfr_prec_t pmax, int nmax)
{
mpfr_t x, z;
mpq_t y;
mpfr_prec_t p;
int res1, res2;
int n;
mpfr_init (x);
mpfr_init2 (z, MPFR_PREC_MIN);
mpq_init (y);
/* check the erange flag when x is NaN */
mpfr_set_nan (x);
mpq_set_ui (y, 17, 1);
mpfr_clear_erangeflag ();
res1 = mpfr_cmp_q (x, y);
if (res1 != 0 || mpfr_erangeflag_p () == 0)
{
printf ("Error for mpfr_cmp_q (NaN, 17)\n");
printf ("Return value: expected 0, got %d\n", res1);
printf ("Erange flag: expected set, got %d\n", mpfr_erangeflag_p ());
exit (1);
}
for(p=pmin ; p < pmax ; p++)
{
mpfr_set_prec (x, p);
for (n = 0 ; n < nmax ; n++)
{
mpfr_urandomb (x, RANDS);
mpq_set_ui (y, randlimb (), randlimb() );
if (!MPFR_IS_SINGULAR (x))
{
mpfr_sub_q (z, x, y, MPFR_RNDN);
res1 = mpfr_sgn (z);
res2 = mpfr_cmp_q (x, y);
if (res1 != res2)
{
printf("Error for mpfr_cmp_q: res=%d sub_z gives %d\n",
res2, res1);
exit (1);
}
}
}
}
mpq_clear (y);
mpfr_clear (x);
mpfr_clear (z);
}
static void
test_cmp_f (mpfr_prec_t pmin, mpfr_prec_t pmax, int nmax)
{
mpfr_t x, z;
mpf_t y;
mpfr_prec_t p;
int res1, res2;
int n;
mpfr_init (x);
mpfr_init2 (z, pmax+GMP_NUMB_BITS);
mpf_init2 (y, MPFR_PREC_MIN);
/* check the erange flag when x is NaN */
mpfr_set_nan (x);
mpf_set_ui (y, 17);
mpfr_clear_erangeflag ();
res1 = mpfr_cmp_f (x, y);
if (res1 != 0 || mpfr_erangeflag_p () == 0)
{
printf ("Error for mpfr_cmp_f (NaN, 17)\n");
printf ("Return value: expected 0, got %d\n", res1);
printf ("Erange flag: expected set, got %d\n", mpfr_erangeflag_p ());
exit (1);
}
for(p=pmin ; p < pmax ; p+=3)
{
mpfr_set_prec (x, p);
mpf_set_prec (y, p);
for ( n = 0; n < nmax ; n++)
{
mpfr_urandomb (x, RANDS);
mpf_urandomb (y, RANDS, p);
if (!MPFR_IS_SINGULAR (x))
{
mpfr_set_f (z, y, MPFR_RNDN);
mpfr_sub (z, x, z, MPFR_RNDN);
res1 = mpfr_sgn (z);
res2 = mpfr_cmp_f (x, y);
if (res1 != res2)
{
printf("Error for mpfr_cmp_f: res=%d sub gives %d\n",
res2, res1);
exit (1);
}
}
}
}
mpf_clear (y);
mpfr_clear (x);
mpfr_clear (z);
}
static void
test_specialz (int (*mpfr_func)(mpfr_ptr, mpfr_srcptr, mpz_srcptr, mpfr_rnd_t),
void (*mpz_func)(mpz_ptr, mpz_srcptr, mpz_srcptr),
const char *op)
{
mpfr_t x1, x2;
mpz_t z1, z2;
int res;
mpfr_inits2 (128, x1, x2, (mpfr_ptr) 0);
mpz_init (z1); mpz_init(z2);
mpz_fac_ui (z1, 19); /* 19!+1 fits perfectly in a 128 bits mantissa */
mpz_add_ui (z1, z1, 1);
mpz_fac_ui (z2, 20); /* 20!+1 fits perfectly in a 128 bits mantissa */
mpz_add_ui (z2, z2, 1);
res = mpfr_set_z(x1, z1, MPFR_RNDN);
if (res)
{
printf("Specialz %s: set_z1 error\n", op);
exit(1);
}
mpfr_set_z (x2, z2, MPFR_RNDN);
if (res)
{
printf("Specialz %s: set_z2 error\n", op);
exit(1);
}
/* (19!+1) * (20!+1) fits in a 128 bits number */
res = mpfr_func(x1, x1, z2, MPFR_RNDN);
if (res)
{
printf("Specialz %s: wrong inexact flag.\n", op);
exit(1);
}
mpz_func(z1, z1, z2);
res = mpfr_set_z (x2, z1, MPFR_RNDN);
if (res)
{
printf("Specialz %s: set_z2 error\n", op);
exit(1);
}
if (mpfr_cmp(x1, x2))
{
printf("Specialz %s: results differ.\nx1=", op);
mpfr_print_binary(x1);
printf("\nx2=");
mpfr_print_binary(x2);
printf ("\nZ2=");
mpz_out_str (stdout, 2, z1);
putchar('\n');
exit(1);
}
mpz_set_ui (z1, 1);
mpz_set_ui (z2, 0);
mpfr_set_ui (x1, 1, MPFR_RNDN);
mpz_func (z1, z1, z2);
res = mpfr_func(x1, x1, z2, MPFR_RNDN);
mpfr_set_z (x2, z1, MPFR_RNDN);
if (mpfr_cmp(x1, x2))
{
printf("Specialz %s: results differ(2).\nx1=", op);
mpfr_print_binary(x1);
printf("\nx2=");
mpfr_print_binary(x2);
putchar('\n');
exit(1);
}
mpz_clear (z1); mpz_clear(z2);
mpfr_clears (x1, x2, (mpfr_ptr) 0);
}
static void
test_special2z (int (*mpfr_func)(mpfr_ptr, mpz_srcptr, mpfr_srcptr, mpfr_rnd_t),
void (*mpz_func)(mpz_ptr, mpz_srcptr, mpz_srcptr),
const char *op)
{
mpfr_t x1, x2;
mpz_t z1, z2;
int res;
mpfr_inits2 (128, x1, x2, (mpfr_ptr) 0);
mpz_init (z1); mpz_init(z2);
mpz_fac_ui (z1, 19); /* 19!+1 fits perfectly in a 128 bits mantissa */
mpz_add_ui (z1, z1, 1);
mpz_fac_ui (z2, 20); /* 20!+1 fits perfectly in a 128 bits mantissa */
mpz_add_ui (z2, z2, 1);
res = mpfr_set_z(x1, z1, MPFR_RNDN);
if (res)
{
printf("Special2z %s: set_z1 error\n", op);
exit(1);
}
mpfr_set_z (x2, z2, MPFR_RNDN);
if (res)
{
printf("Special2z %s: set_z2 error\n", op);
exit(1);
}
/* (19!+1) * (20!+1) fits in a 128 bits number */
res = mpfr_func(x1, z1, x2, MPFR_RNDN);
if (res)
{
printf("Special2z %s: wrong inexact flag.\n", op);
exit(1);
}
mpz_func(z1, z1, z2);
res = mpfr_set_z (x2, z1, MPFR_RNDN);
if (res)
{
printf("Special2z %s: set_z2 error\n", op);
exit(1);
}
if (mpfr_cmp(x1, x2))
{
printf("Special2z %s: results differ.\nx1=", op);
mpfr_print_binary(x1);
printf("\nx2=");
mpfr_print_binary(x2);
printf ("\nZ2=");
mpz_out_str (stdout, 2, z1);
putchar('\n');
exit(1);
}
mpz_set_ui (z1, 0);
mpz_set_ui (z2, 1);
mpfr_set_ui (x2, 1, MPFR_RNDN);
res = mpfr_func(x1, z1, x2, MPFR_RNDN);
mpz_func (z1, z1, z2);
mpfr_set_z (x2, z1, MPFR_RNDN);
if (mpfr_cmp(x1, x2))
{
printf("Special2z %s: results differ(2).\nx1=", op);
mpfr_print_binary(x1);
printf("\nx2=");
mpfr_print_binary(x2);
putchar('\n');
exit(1);
}
mpz_clear (z1); mpz_clear(z2);
mpfr_clears (x1, x2, (mpfr_ptr) 0);
}
static void
test_genericz (mpfr_prec_t p0, mpfr_prec_t p1, unsigned int N,
int (*func)(mpfr_ptr, mpfr_srcptr, mpz_srcptr, mpfr_rnd_t),
const char *op)
{
mpfr_prec_t prec;
mpfr_t arg1, dst_big, dst_small, tmp;
mpz_t arg2;
mpfr_rnd_t rnd;
int inexact, compare, compare2;
unsigned int n;
mpfr_inits (arg1, dst_big, dst_small, tmp, (mpfr_ptr) 0);
mpz_init (arg2);
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (arg1, prec);
mpfr_set_prec (tmp, prec);
mpfr_set_prec (dst_small, prec);
for (n=0; n<N; n++)
{
mpfr_urandomb (arg1, RANDS);
mpz_urandomb (arg2, RANDS, 1024);
rnd = RND_RAND ();
mpfr_set_prec (dst_big, 2*prec);
compare = func(dst_big, arg1, arg2, rnd);
if (mpfr_can_round (dst_big, 2*prec, rnd, rnd, prec))
{
mpfr_set (tmp, dst_big, rnd);
inexact = func(dst_small, arg1, arg2, rnd);
if (mpfr_cmp (tmp, dst_small))
{
printf ("Results differ for prec=%u rnd_mode=%s and %s_z:\n"
"arg1=",
(unsigned) prec, mpfr_print_rnd_mode (rnd), op);
mpfr_print_binary (arg1);
printf("\narg2=");
mpz_out_str (stdout, 10, arg2);
printf ("\ngot ");
mpfr_dump (dst_small);
printf ("expected ");
mpfr_dump (tmp);
printf ("approx ");
mpfr_dump (dst_big);
exit (1);
}
compare2 = mpfr_cmp (tmp, dst_big);
/* if rounding to nearest, cannot know the sign of t - f(x)
because of composed rounding: y = o(f(x)) and t = o(y) */
if (compare * compare2 >= 0)
compare = compare + compare2;
else
compare = inexact; /* cannot determine sign(t-f(x)) */
if (((inexact == 0) && (compare != 0)) ||
((inexact > 0) && (compare <= 0)) ||
((inexact < 0) && (compare >= 0)))
{
printf ("Wrong inexact flag for rnd=%s and %s_z:\n"
"expected %d, got %d\n",
mpfr_print_rnd_mode (rnd), op, compare, inexact);
printf ("\narg1="); mpfr_print_binary (arg1);
printf ("\narg2="); mpz_out_str(stdout, 2, arg2);
printf ("\ndstl="); mpfr_print_binary (dst_big);
printf ("\ndsts="); mpfr_print_binary (dst_small);
printf ("\ntmp ="); mpfr_dump (tmp);
exit (1);
}
}
}
}
mpz_clear (arg2);
mpfr_clears (arg1, dst_big, dst_small, tmp, (mpfr_ptr) 0);
}
static void
test_generic2z (mpfr_prec_t p0, mpfr_prec_t p1, unsigned int N,
int (*func)(mpfr_ptr, mpz_srcptr, mpfr_srcptr, mpfr_rnd_t),
const char *op)
{
mpfr_prec_t prec;
mpfr_t arg1, dst_big, dst_small, tmp;
mpz_t arg2;
mpfr_rnd_t rnd;
int inexact, compare, compare2;
unsigned int n;
mpfr_inits (arg1, dst_big, dst_small, tmp, (mpfr_ptr) 0);
mpz_init (arg2);
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (arg1, prec);
mpfr_set_prec (tmp, prec);
mpfr_set_prec (dst_small, prec);
for (n=0; n<N; n++)
{
mpfr_urandomb (arg1, RANDS);
mpz_urandomb (arg2, RANDS, 1024);
rnd = RND_RAND ();
mpfr_set_prec (dst_big, 2*prec);
compare = func(dst_big, arg2, arg1, rnd);
if (mpfr_can_round (dst_big, 2*prec, rnd, rnd, prec))
{
mpfr_set (tmp, dst_big, rnd);
inexact = func(dst_small, arg2, arg1, rnd);
if (mpfr_cmp (tmp, dst_small))
{
printf ("Results differ for prec=%u rnd_mode=%s and %s_z:\n"
"arg1=",
(unsigned) prec, mpfr_print_rnd_mode (rnd), op);
mpfr_print_binary (arg1);
printf("\narg2=");
mpz_out_str (stdout, 10, arg2);
printf ("\ngot ");
mpfr_dump (dst_small);
printf ("expected ");
mpfr_dump (tmp);
printf ("approx ");
mpfr_dump (dst_big);
exit (1);
}
compare2 = mpfr_cmp (tmp, dst_big);
/* if rounding to nearest, cannot know the sign of t - f(x)
because of composed rounding: y = o(f(x)) and t = o(y) */
if (compare * compare2 >= 0)
compare = compare + compare2;
else
compare = inexact; /* cannot determine sign(t-f(x)) */
if (((inexact == 0) && (compare != 0)) ||
((inexact > 0) && (compare <= 0)) ||
((inexact < 0) && (compare >= 0)))
{
printf ("Wrong inexact flag for rnd=%s and %s_z:\n"
"expected %d, got %d\n",
mpfr_print_rnd_mode (rnd), op, compare, inexact);
printf ("\narg1="); mpfr_print_binary (arg1);
printf ("\narg2="); mpz_out_str(stdout, 2, arg2);
printf ("\ndstl="); mpfr_print_binary (dst_big);
printf ("\ndsts="); mpfr_print_binary (dst_small);
printf ("\ntmp ="); mpfr_dump (tmp);
exit (1);
}
}
}
}
mpz_clear (arg2);
mpfr_clears (arg1, dst_big, dst_small, tmp, (mpfr_ptr) 0);
}
static void
test_genericq (mpfr_prec_t p0, mpfr_prec_t p1, unsigned int N,
int (*func)(mpfr_ptr, mpfr_srcptr, mpq_srcptr, mpfr_rnd_t),
const char *op)
{
mpfr_prec_t prec;
mpfr_t arg1, dst_big, dst_small, tmp;
mpq_t arg2;
mpfr_rnd_t rnd;
int inexact, compare, compare2;
unsigned int n;
mpfr_inits (arg1, dst_big, dst_small, tmp, (mpfr_ptr) 0);
mpq_init (arg2);
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (arg1, prec);
mpfr_set_prec (tmp, prec);
mpfr_set_prec (dst_small, prec);
for (n=0; n<N; n++)
{
mpfr_urandomb (arg1, RANDS);
mpq_set_ui (arg2, randlimb (), randlimb() );
mpq_canonicalize (arg2);
rnd = RND_RAND ();
mpfr_set_prec (dst_big, prec+10);
compare = func(dst_big, arg1, arg2, rnd);
if (mpfr_can_round (dst_big, prec+10, rnd, rnd, prec))
{
mpfr_set (tmp, dst_big, rnd);
inexact = func(dst_small, arg1, arg2, rnd);
if (mpfr_cmp (tmp, dst_small))
{
printf ("Results differ for prec=%u rnd_mode=%s and %s_q:\n"
"arg1=",
(unsigned) prec, mpfr_print_rnd_mode (rnd), op);
mpfr_print_binary (arg1);
printf("\narg2=");
mpq_out_str(stdout, 2, arg2);
printf ("\ngot ");
mpfr_print_binary (dst_small);
printf ("\nexpected ");
mpfr_print_binary (tmp);
printf ("\napprox ");
mpfr_print_binary (dst_big);
putchar('\n');
exit (1);
}
compare2 = mpfr_cmp (tmp, dst_big);
/* if rounding to nearest, cannot know the sign of t - f(x)
because of composed rounding: y = o(f(x)) and t = o(y) */
if (compare * compare2 >= 0)
compare = compare + compare2;
else
compare = inexact; /* cannot determine sign(t-f(x)) */
if (((inexact == 0) && (compare != 0)) ||
((inexact > 0) && (compare <= 0)) ||
((inexact < 0) && (compare >= 0)))
{
printf ("Wrong inexact flag for rnd=%s and %s_q:\n"
"expected %d, got %d",
mpfr_print_rnd_mode (rnd), op, compare, inexact);
printf ("\narg1="); mpfr_print_binary (arg1);
printf ("\narg2="); mpq_out_str(stdout, 2, arg2);
printf ("\ndstl="); mpfr_print_binary (dst_big);
printf ("\ndsts="); mpfr_print_binary (dst_small);
printf ("\ntmp ="); mpfr_print_binary (tmp);
putchar('\n');
exit (1);
}
}
}
}
mpq_clear (arg2);
mpfr_clears (arg1, dst_big, dst_small, tmp, (mpfr_ptr) 0);
}
static void
test_specialq (mpfr_prec_t p0, mpfr_prec_t p1, unsigned int N,
int (*mpfr_func)(mpfr_ptr, mpfr_srcptr, mpq_srcptr, mpfr_rnd_t),
void (*mpq_func)(mpq_ptr, mpq_srcptr, mpq_srcptr),
const char *op)
{
mpfr_t fra, frb, frq;
mpq_t q1, q2, qr;
unsigned int n;
mpfr_prec_t prec;
for (prec = p0 ; prec < p1 ; prec++)
{
mpfr_inits2 (prec, fra, frb, frq, (mpfr_ptr) 0);
mpq_init (q1); mpq_init(q2); mpq_init (qr);
for( n = 0 ; n < N ; n++)
{
mpq_set_ui(q1, randlimb(), randlimb() );
mpq_set_ui(q2, randlimb(), randlimb() );
mpq_canonicalize (q1);
mpq_canonicalize (q2);
mpq_func (qr, q1, q2);
mpfr_set_q (fra, q1, MPFR_RNDD);
mpfr_func (fra, fra, q2, MPFR_RNDD);
mpfr_set_q (frb, q1, MPFR_RNDU);
mpfr_func (frb, frb, q2, MPFR_RNDU);
mpfr_set_q (frq, qr, MPFR_RNDN);
/* We should have fra <= qr <= frb */
if ( (mpfr_cmp(fra, frq) > 0) || (mpfr_cmp (frq, frb) > 0))
{
printf("Range error for prec=%lu and %s",
(unsigned long) prec, op);
printf ("\nq1="); mpq_out_str(stdout, 2, q1);
printf ("\nq2="); mpq_out_str(stdout, 2, q2);
printf ("\nfr_dn="); mpfr_print_binary (fra);
printf ("\nfr_q ="); mpfr_print_binary (frq);
printf ("\nfr_up="); mpfr_print_binary (frb);
putchar('\n');
exit (1);
}
}
mpq_clear (q1); mpq_clear (q2); mpq_clear (qr);
mpfr_clears (fra, frb, frq, (mpfr_ptr) 0);
}
}
static void
bug_mul_q_20100810 (void)
{
mpfr_t x;
mpfr_t y;
mpq_t q;
int inexact;
mpfr_init (x);
mpfr_init (y);
mpq_init (q);
/* mpfr_mul_q: the inexact value must be set in case of overflow */
mpq_set_ui (q, 4096, 3);
mpfr_set_inf (x, +1);
mpfr_nextbelow (x);
inexact = mpfr_mul_q (y, x, q, MPFR_RNDU);
if (inexact <= 0)
{
printf ("Overflow error in mpfr_mul_q. ");
printf ("Wrong inexact flag: got %d, should be positive.\n", inexact);
exit (1);
}
if (!mpfr_inf_p (y))
{
printf ("Overflow error in mpfr_mul_q (y, x, q, MPFR_RNDD). ");
printf ("\nx = ");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDD);
printf ("\nq = ");
mpq_out_str (stdout, 10, q);
printf ("\ny = ");
mpfr_out_str (stdout, 10, 0, y, MPFR_RNDD);
printf (" (should be +infinity)\n");
exit (1);
}
mpq_clear (q);
mpfr_clear (y);
mpfr_clear (x);
}
static void
bug_div_q_20100810 (void)
{
mpfr_t x;
mpfr_t y;
mpq_t q;
int inexact;
mpfr_init (x);
mpfr_init (y);
mpq_init (q);
/* mpfr_div_q: the inexact value must be set in case of overflow */
mpq_set_ui (q, 3, 4096);
mpfr_set_inf (x, +1);
mpfr_nextbelow (x);
inexact = mpfr_div_q (y, x, q, MPFR_RNDU);
if (inexact <= 0)
{
printf ("Overflow error in mpfr_div_q. ");
printf ("Wrong inexact flag: got %d, should be positive.\n", inexact);
exit (1);
}
if (!mpfr_inf_p (y))
{
printf ("Overflow error in mpfr_div_q (y, x, q, MPFR_RNDD). ");
printf ("\nx = ");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDD);
printf ("\nq = ");
mpq_out_str (stdout, 10, q);
printf ("\ny = ");
mpfr_out_str (stdout, 10, 0, y, MPFR_RNDD);
printf (" (should be +infinity)\n");
exit (1);
}
mpq_clear (q);
mpfr_clear (y);
mpfr_clear (x);
}
static void
bug_mul_div_q_20100818 (void)
{
mpq_t qa, qb;
mpfr_t x1, x2, y1, y2, y3;
mpfr_exp_t emin, emax, e;
int inex;
int rnd;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
set_emin (MPFR_EMIN_MIN);
set_emax (MPFR_EMAX_MAX);
mpq_init (qa);
mpq_init (qb);
mpfr_inits2 (32, x1, x2, y1, y2, y3, (mpfr_ptr) 0);
mpq_set_ui (qa, 3, 17);
mpq_set_ui (qb, 17, 3);
inex = mpfr_set_ui (x1, 7, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
e = MPFR_EMAX_MAX - 3;
inex = mpfr_set_ui_2exp (x2, 7, e, MPFR_RNDN); /* x2 = x1 * 2^e */
MPFR_ASSERTN (inex == 0);
RND_LOOP(rnd)
{
mpfr_mul_q (y1, x1, qa, (mpfr_rnd_t) rnd);
mpfr_div_q (y3, x1, qb, (mpfr_rnd_t) rnd);
MPFR_ASSERTN (mpfr_equal_p (y1, y3));
inex = mpfr_set_ui_2exp (y3, 1, e, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
inex = mpfr_mul (y3, y3, y1, MPFR_RNDN); /* y3 = y1 * 2^e */
MPFR_ASSERTN (inex == 0);
mpfr_mul_q (y2, x2, qa, (mpfr_rnd_t) rnd);
if (! mpfr_equal_p (y2, y3))
{
printf ("Error 1 in bug_mul_div_q_20100818 (rnd = %d)\n", rnd);
printf ("Expected "); mpfr_dump (y3);
printf ("Got "); mpfr_dump (y2);
exit (1);
}
mpfr_div_q (y2, x2, qb, (mpfr_rnd_t) rnd);
if (! mpfr_equal_p (y2, y3))
{
printf ("Error 2 in bug_mul_div_q_20100818 (rnd = %d)\n", rnd);
printf ("Expected "); mpfr_dump (y3);
printf ("Got "); mpfr_dump (y2);
exit (1);
}
}
e = MPFR_EMIN_MIN;
inex = mpfr_set_ui_2exp (x2, 7, e, MPFR_RNDN); /* x2 = x1 * 2^e */
MPFR_ASSERTN (inex == 0);
RND_LOOP(rnd)
{
mpfr_div_q (y1, x1, qa, (mpfr_rnd_t) rnd);
mpfr_mul_q (y3, x1, qb, (mpfr_rnd_t) rnd);
MPFR_ASSERTN (mpfr_equal_p (y1, y3));
inex = mpfr_set_ui_2exp (y3, 1, e, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
inex = mpfr_mul (y3, y3, y1, MPFR_RNDN); /* y3 = y1 * 2^e */
MPFR_ASSERTN (inex == 0);
mpfr_div_q (y2, x2, qa, (mpfr_rnd_t) rnd);
if (! mpfr_equal_p (y2, y3))
{
printf ("Error 3 in bug_mul_div_q_20100818 (rnd = %d)\n", rnd);
printf ("Expected "); mpfr_dump (y3);
printf ("Got "); mpfr_dump (y2);
exit (1);
}
mpfr_mul_q (y2, x2, qb, (mpfr_rnd_t) rnd);
if (! mpfr_equal_p (y2, y3))
{
printf ("Error 4 in bug_mul_div_q_20100818 (rnd = %d)\n", rnd);
printf ("Expected "); mpfr_dump (y3);
printf ("Got "); mpfr_dump (y2);
exit (1);
}
}
mpq_clear (qa);
mpq_clear (qb);
mpfr_clears (x1, x2, y1, y2, y3, (mpfr_ptr) 0);
set_emin (emin);
set_emax (emax);
}
static void
reduced_expo_range (void)
{
mpfr_t x;
mpz_t z;
mpq_t q;
mpfr_exp_t emin;
int inex;
emin = mpfr_get_emin ();
set_emin (4);
mpfr_init2 (x, 32);
mpz_init (z);
mpfr_clear_flags ();
inex = mpfr_set_ui (x, 17, MPFR_RNDN);
MPFR_ASSERTN (inex == 0);
mpz_set_ui (z, 3);
inex = mpfr_mul_z (x, x, z, MPFR_RNDN);
if (inex != 0 || MPFR_IS_NAN (x) || mpfr_cmp_ui (x, 51) != 0)
{
printf ("Error 1 in reduce_expo_range: expected 51 with inex = 0,"
" got\n");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf ("with inex = %d\n", inex);
exit (1);
}
inex = mpfr_div_z (x, x, z, MPFR_RNDN);
if (inex != 0 || MPFR_IS_NAN (x) || mpfr_cmp_ui (x, 17) != 0)
{
printf ("Error 2 in reduce_expo_range: expected 17 with inex = 0,"
" got\n");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf ("with inex = %d\n", inex);
exit (1);
}
inex = mpfr_add_z (x, x, z, MPFR_RNDN);
if (inex != 0 || MPFR_IS_NAN (x) || mpfr_cmp_ui (x, 20) != 0)
{
printf ("Error 3 in reduce_expo_range: expected 20 with inex = 0,"
" got\n");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf ("with inex = %d\n", inex);
exit (1);
}
inex = mpfr_sub_z (x, x, z, MPFR_RNDN);
if (inex != 0 || MPFR_IS_NAN (x) || mpfr_cmp_ui (x, 17) != 0)
{
printf ("Error 4 in reduce_expo_range: expected 17 with inex = 0,"
" got\n");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf ("with inex = %d\n", inex);
exit (1);
}
MPFR_ASSERTN (__gmpfr_flags == 0);
if (mpfr_cmp_z (x, z) <= 0)
{
printf ("Error 5 in reduce_expo_range: expected a positive value.\n");
exit (1);
}
mpz_clear (z);
mpq_init (q);
mpq_set_ui (q, 1, 1);
mpfr_set_ui (x, 16, MPFR_RNDN);
inex = mpfr_add_q (x, x, q, MPFR_RNDN);
if (inex != 0 || MPFR_IS_NAN (x) || mpfr_cmp_ui (x, 17) != 0)
{
printf ("Error in reduce_expo_range for 16 + 1/1,"
" got inex = %d and\nx = ", inex);
mpfr_dump (x);
exit (1);
}
inex = mpfr_sub_q (x, x, q, MPFR_RNDN);
if (inex != 0 || MPFR_IS_NAN (x) || mpfr_cmp_ui (x, 16) != 0)
{
printf ("Error in reduce_expo_range for 17 - 1/1,"
" got inex = %d and\nx = ", inex);
mpfr_dump (x);
exit (1);
}
mpq_clear (q);
mpfr_clear (x);
set_emin (emin);
}
static void
addsubq_overflow_aux (mpfr_exp_t e)
{
mpfr_t x, y;
mpq_t q;
mpfr_exp_t emax;
int inex;
int rnd;
int sign, sub;
MPFR_ASSERTN (e <= LONG_MAX);
emax = mpfr_get_emax ();
set_emax (e);
mpfr_inits2 (16, x, y, (mpfr_ptr) 0);
mpq_init (q);
mpfr_set_inf (x, 1);
mpfr_nextbelow (x);
mpq_set_ui (q, 1, 1);
for (sign = 0; sign <= 1; sign++)
{
for (sub = 0; sub <= 1; sub++)
{
RND_LOOP(rnd)
{
unsigned int flags, ex_flags;
int inf;
inf = rnd == MPFR_RNDA ||
rnd == (sign ? MPFR_RNDD : MPFR_RNDU);
ex_flags = MPFR_FLAGS_INEXACT | (inf ? MPFR_FLAGS_OVERFLOW : 0);
mpfr_clear_flags ();
inex = sub ?
mpfr_sub_q (y, x, q, (mpfr_rnd_t) rnd) :
mpfr_add_q (y, x, q, (mpfr_rnd_t) rnd);
flags = __gmpfr_flags;
if (inex == 0 || flags != ex_flags ||
(inf ? ! mpfr_inf_p (y) : ! mpfr_equal_p (x, y)))
{
printf ("Error in addsubq_overflow_aux(%ld),"
" sign = %d, %s\n", (long) e, sign,
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
printf ("Got inex = %d, y = ", inex);
mpfr_dump (y);
printf ("Expected flags:");
flags_out (ex_flags);
printf ("Got flags: ");
flags_out (flags);
exit (1);
}
}
mpq_neg (q, q);
}
mpfr_neg (x, x, MPFR_RNDN);
mpq_neg (q, q);
}
mpq_clear (q);
mpfr_clears (x, y, (mpfr_ptr) 0);
set_emax (emax);
}
static void
addsubq_overflow (void)
{
addsubq_overflow_aux (4913);
addsubq_overflow_aux (MPFR_EMAX_MAX);
}
static void
coverage_mpfr_mul_q_20110218 (void)
{
mpfr_t cmp, res, op1;
mpq_t op2;
int status;
mpfr_init2 (cmp, MPFR_PREC_MIN);
mpfr_init2 (res, MPFR_PREC_MIN);
mpfr_init_set_si (op1, 1, MPFR_RNDN);
mpq_init (op2);
mpq_set_si (op2, 0, 0);
mpz_set_si (mpq_denref (op2), 0);
status = mpfr_mul_q (res, op1, op2, MPFR_RNDN);
if ((status != 0) || (mpfr_cmp (cmp, res) != 0))
{
printf ("Results differ %d.\nres=", status);
mpfr_print_binary (res);
printf ("\ncmp=");
mpfr_print_binary (cmp);
putchar ('\n');
exit (1);
}
mpfr_set_si (op1, 1, MPFR_RNDN);
mpq_set_si (op2, -1, 0);
status = mpfr_mul_q (res, op1, op2, MPFR_RNDN);
mpfr_set_inf (cmp, -1);
if ((status != 0) || (mpfr_cmp(res, cmp) != 0))
{
printf ("mpfr_mul_q 1 * (-1/0) returned a wrong value :\n waiting for ");
mpfr_print_binary (cmp);
printf (" got ");
mpfr_print_binary (res);
printf ("\n trinary value is %d\n", status);
exit (1);
}
mpq_clear (op2);
mpfr_clear (op1);
mpfr_clear (res);
mpfr_clear (cmp);
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
special ();
test_specialz (mpfr_add_z, mpz_add, "add");
test_specialz (mpfr_sub_z, mpz_sub, "sub");
test_specialz (mpfr_mul_z, mpz_mul, "mul");
test_genericz (2, 100, 100, mpfr_add_z, "add");
test_genericz (2, 100, 100, mpfr_sub_z, "sub");
test_genericz (2, 100, 100, mpfr_mul_z, "mul");
test_genericz (2, 100, 100, mpfr_div_z, "div");
test_special2z (mpfr_z_sub, mpz_sub, "sub");
test_generic2z (2, 100, 100, mpfr_z_sub, "sub");
test_genericq (2, 100, 100, mpfr_add_q, "add");
test_genericq (2, 100, 100, mpfr_sub_q, "sub");
test_genericq (2, 100, 100, mpfr_mul_q, "mul");
test_genericq (2, 100, 100, mpfr_div_q, "div");
test_specialq (2, 100, 100, mpfr_mul_q, mpq_mul, "mul");
test_specialq (2, 100, 100, mpfr_div_q, mpq_div, "div");
test_specialq (2, 100, 100, mpfr_add_q, mpq_add, "add");
test_specialq (2, 100, 100, mpfr_sub_q, mpq_sub, "sub");
test_cmp_z (2, 100, 100);
test_cmp_q (2, 100, 100);
test_cmp_f (2, 100, 100);
check_for_zero ();
bug_mul_q_20100810 ();
bug_div_q_20100810 ();
bug_mul_div_q_20100818 ();
reduced_expo_range ();
addsubq_overflow ();
coverage_mpfr_mul_q_20110218 ();
tests_end_mpfr ();
return 0;
}