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RedBear-OS/recipes/libs/libmpfr/source/tests/tadd1sp.c
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454 lines
15 KiB
C

/* Test file for mpfr_add1sp.
Copyright 2004-2025 Free Software Foundation, Inc.
Contributed by the Pascaline 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 <https://www.gnu.org/licenses/>. */
#include "mpfr-test.h"
static void check_special (void);
static void check_random (mpfr_prec_t p);
static int
mpfr_add_cf (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t r)
{
mpfr_clear_flags (); /* allows better checking */
return mpfr_add (a, b, c, r);
}
static void
check_overflow (void)
{
mpfr_t x, y, z1, z2;
mpfr_exp_t emin, emax;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
set_emin (-1021);
set_emax (1024);
mpfr_inits (x, y, z1, z2, (mpfr_ptr) 0);
mpfr_set_str1 (x, "8.00468257869324898448e+307");
mpfr_set_str1 (y, "7.44784712422708645156e+307");
mpfr_add1sp (z1, x, y, MPFR_RNDN);
mpfr_add1 (z2, x, y, MPFR_RNDN);
if (mpfr_cmp (z1, z2))
{
printf ("Overflow bug in add1sp.\n");
exit (1);
}
mpfr_clears (x, y, z1, z2, (mpfr_ptr) 0);
set_emin (emin);
set_emax (emax);
}
static void
bug20171217 (void)
{
mpfr_t a, b, c;
mpfr_init2 (a, 137);
mpfr_init2 (b, 137);
mpfr_init2 (c, 137);
mpfr_set_str_binary (b, "0.11111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000E-66");
mpfr_set_str_binary (c, "0.11111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000110000E-2");
mpfr_add_cf (a, b, c, MPFR_RNDN);
mpfr_set_str_binary (b, "0.10000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000001000E-1");
MPFR_ASSERTN(mpfr_equal_p (a, b));
mpfr_clear (a);
mpfr_clear (b);
mpfr_clear (c);
}
static void
bug20190903 (void)
{
mpfr_t a, b, c, d;
int inex;
mpfr_flags_t flags;
/* Bug in r13574, fixed in r13578.
Note: to reproduce the failure, GMP_NUMB_BITS == 64 is assumed. */
mpfr_inits2 (128, a, b, c, d, (mpfr_ptr) 0);
mpfr_set_str_binary (b, "0.11111111111111111100000000000000000001001111111101111111110000101001111100111110110010011001111110000000101001001001110110101110E0");
mpfr_set_str_binary (c, "0.10000001011101000010000111100111011110100000001001000010011011001000110100111111101100001101001101011101100100011000000101110111E-126");
mpfr_add_cf (a, b, c, MPFR_RNDN);
mpfr_set_str_binary (b, "0.11111111111111111100000000000000000001001111111101111111110000101001111100111110110010011001111110000000101001001001110110110000E0");
MPFR_ASSERTN (mpfr_equal_p (a, b));
mpfr_clears (a, b, c, d, (mpfr_ptr) 0);
/* Bug in r13574, fixed in r13586. */
/* Figure with GMP_NUMB_BITS = 4:
b = 1111 1000
c = 1000 0001
*/
mpfr_inits2 (2 * GMP_NUMB_BITS, a, b, c, d, (mpfr_ptr) 0);
mpfr_set_ui_2exp (d, 1, 3 * GMP_NUMB_BITS, MPFR_RNDN);
mpfr_set_ui_2exp (c, 1, 2 * GMP_NUMB_BITS - 1, MPFR_RNDN);
mpfr_sub (b, d, c, MPFR_RNDN);
mpfr_add_ui (c, c, 1, MPFR_RNDN);
inex = mpfr_add_cf (a, b, c, MPFR_RNDN);
flags = __gmpfr_flags;
MPFR_ASSERTN (mpfr_equal_p (a, d));
MPFR_ASSERTN (inex < 0);
MPFR_ASSERTN (flags == MPFR_FLAGS_INEXACT);
inex = mpfr_add_cf (a, b, c, MPFR_RNDU);
flags = __gmpfr_flags;
mpfr_add_ui (d, d, 1, MPFR_RNDU);
MPFR_ASSERTN (mpfr_equal_p (a, d));
MPFR_ASSERTN (inex > 0);
MPFR_ASSERTN (flags == MPFR_FLAGS_INEXACT);
mpfr_clears (a, b, c, d, (mpfr_ptr) 0);
}
/* Check corner case b = 1, c = 2^(-p) for MPFR_PREC_MIN <= p <= pmax.
With RNDN, result is 1, except for p=1, where it is 2. */
static void
test_corner_1 (mpfr_prec_t pmax)
{
mpfr_prec_t p;
for (p = MPFR_PREC_MIN; p <= pmax; p++)
{
mpfr_t a, b, c;
int inex;
mpfr_init2 (a, p);
mpfr_init2 (b, p);
mpfr_init2 (c, p);
mpfr_set_ui (b, 1, MPFR_RNDN);
mpfr_set_ui_2exp (c, 1, -p, MPFR_RNDN);
inex = mpfr_add_cf (a, b, c, MPFR_RNDN);
if (p == 1) /* special case, since 2^(p-1) is odd */
{
MPFR_ASSERTN(inex > 0);
MPFR_ASSERTN(mpfr_cmp_ui (a, 2) == 0);
}
else
{
MPFR_ASSERTN(inex < 0);
MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
}
mpfr_clear (a);
mpfr_clear (b);
mpfr_clear (c);
}
}
static void
coverage (void)
{
mpfr_t a, b, c;
int inex;
mpfr_exp_t emax;
mpfr_prec_t p;
mpfr_init (a);
mpfr_init (b);
mpfr_init (c);
/* coverage test in mpfr_add1sp: case round away, where add_one_ulp
gives a carry, and the new exponent is below emax */
for (p = MPFR_PREC_MIN; p <= 3 * GMP_NUMB_BITS; p++)
{
mpfr_set_prec (a, p);
mpfr_set_prec (b, p);
mpfr_set_prec (c, p);
mpfr_set_ui (b, 1, MPFR_RNDN);
mpfr_nextbelow (b); /* b = 1 - 2^(-p) (including for p=1) */
mpfr_set_ui_2exp (c, 1, -p-1, MPFR_RNDN);
/* c = 2^(-p-1) thus b+c = 1 - 2^(-p-1) should be rounded to 1 */
inex = mpfr_add_cf (a, b, c, MPFR_RNDU);
MPFR_ASSERTN(inex > 0);
MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
}
/* coverage test in mpfr_add1sp2: case GMP_NUMB_BITS <= d < 2*GMP_NUMB_BITS
and a1 = 0 */
mpfr_set_prec (a, GMP_NUMB_BITS + 2);
mpfr_set_prec (b, GMP_NUMB_BITS + 2);
mpfr_set_prec (c, GMP_NUMB_BITS + 2);
mpfr_set_ui (b, 1, MPFR_RNDN);
mpfr_nextbelow (b); /* b = 1 - 2^(-p) with p = GMP_NUMB_BITS+2 */
mpfr_set_ui_2exp (c, 1, -GMP_NUMB_BITS-1, MPFR_RNDN);
mpfr_nextbelow (c); /* c = 2^(1-p) - 2^(1-2p) */
/* a = 1 + 2^(-p) - 2^(1-2p) should be rounded to 1 with RNDN */
inex = mpfr_add_cf (a, b, c, MPFR_RNDN);
MPFR_ASSERTN(inex < 0);
MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
/* coverage test in mpfr_add1sp2: case round away, where add_one_ulp
gives a carry, and the new exponent is below emax */
mpfr_set_prec (a, GMP_NUMB_BITS + 1);
mpfr_set_prec (b, GMP_NUMB_BITS + 1);
mpfr_set_prec (c, GMP_NUMB_BITS + 1);
mpfr_set_ui (b, 1, MPFR_RNDN);
mpfr_nextbelow (b); /* b = 1 - 2^(-p) */
mpfr_set_ui_2exp (c, 1, -GMP_NUMB_BITS-2, MPFR_RNDN);
/* c = 2^(-p-1) */
inex = mpfr_add_cf (a, b, c, MPFR_RNDU);
MPFR_ASSERTN(inex > 0);
MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
/* coverage test in mpfr_add1sp3: case GMP_NUMB_BITS <= d < 2*GMP_NUMB_BITS
and a2 == 0 */
mpfr_set_prec (a, 2 * GMP_NUMB_BITS + 2);
mpfr_set_prec (b, 2 * GMP_NUMB_BITS + 2);
mpfr_set_prec (c, 2 * GMP_NUMB_BITS + 2);
mpfr_set_ui (b, 1, MPFR_RNDN);
mpfr_nextbelow (b); /* b = 1 - 2^(-p) with p = 2*GMP_NUMB_BITS+2 */
mpfr_set_ui_2exp (c, 1, -2*GMP_NUMB_BITS-1, MPFR_RNDN);
mpfr_nextbelow (c); /* c = 2^(1-p) - 2^(1-2p) */
/* a = 1 + 2^(-p) - 2^(1-2p) should be rounded to 1 with RNDN */
inex = mpfr_add_cf (a, b, c, MPFR_RNDN);
MPFR_ASSERTN(inex < 0);
MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
/* coverage test in mpfr_add1sp3: case bx > emax */
emax = mpfr_get_emax ();
set_emax (1);
mpfr_set_prec (a, 2 * GMP_NUMB_BITS + 1);
mpfr_set_prec (b, 2 * GMP_NUMB_BITS + 1);
mpfr_set_prec (c, 2 * GMP_NUMB_BITS + 1);
mpfr_set_ui_2exp (b, 1, mpfr_get_emax () - 1, MPFR_RNDN);
mpfr_nextbelow (b);
mpfr_mul_2ui (b, b, 1, MPFR_RNDN);
/* now b is the largest number < +Inf */
mpfr_div_2ui (c, b, GMP_NUMB_BITS - 1, MPFR_RNDN);
/* we are in the case d < GMP_NUMB_BITS of mpfr_add1sp3 */
inex = mpfr_add_cf (a, b, b, MPFR_RNDU);
MPFR_ASSERTN(inex > 0);
MPFR_ASSERTN(mpfr_inf_p (a) && mpfr_sgn (a) > 0);
set_emax (emax);
/* coverage test in mpfr_add1sp3: case round away, where add_one_ulp gives
a carry, no overflow */
mpfr_set_prec (a, 2 * GMP_NUMB_BITS + 1);
mpfr_set_prec (b, 2 * GMP_NUMB_BITS + 1);
mpfr_set_prec (c, 2 * GMP_NUMB_BITS + 1);
mpfr_set_ui (b, 1, MPFR_RNDN);
mpfr_nextbelow (b); /* b = 1 - 2^(-p) */
mpfr_set_ui_2exp (c, 1, -2 * GMP_NUMB_BITS - 2, MPFR_RNDN);
/* c = 2^(-p-1) */
inex = mpfr_add_cf (a, b, c, MPFR_RNDU);
MPFR_ASSERTN(inex > 0);
MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
/* coverage test in mpfr_add1sp3: case round away, where add_one_ulp gives
a carry, with overflow */
emax = mpfr_get_emax ();
set_emax (1);
mpfr_set_prec (a, 2 * GMP_NUMB_BITS + 1);
mpfr_set_prec (b, 2 * GMP_NUMB_BITS + 1);
mpfr_set_prec (c, 2 * GMP_NUMB_BITS + 1);
mpfr_set_ui_2exp (b, 1, mpfr_get_emax () - 1, MPFR_RNDN);
mpfr_nextbelow (b);
mpfr_mul_2ui (b, b, 1, MPFR_RNDN);
/* now b is the largest number < +Inf */
mpfr_set_ui_2exp (c, 1, mpfr_get_emin () - 1, MPFR_RNDN);
inex = mpfr_add_cf (a, b, c, MPFR_RNDU);
MPFR_ASSERTN(inex > 0);
MPFR_ASSERTN(mpfr_inf_p (a) && mpfr_sgn (a) > 0);
set_emax (emax);
mpfr_clear (a);
mpfr_clear (b);
mpfr_clear (c);
}
int
main (void)
{
mpfr_prec_t p;
int i;
tests_start_mpfr ();
coverage ();
test_corner_1 (1024);
bug20171217 ();
bug20190903 ();
check_special ();
for (p = MPFR_PREC_MIN; p < 200; p++)
check_random (p);
for (i = 0; i < 200; i++)
{
/* special precisions */
check_random (GMP_NUMB_BITS);
check_random (2 * GMP_NUMB_BITS);
}
check_overflow ();
tests_end_mpfr ();
return 0;
}
#define STD_ERROR \
do \
{ \
printf("ERROR: for %s and p=%lu and i=%d:\nB=", \
mpfr_print_rnd_mode ((mpfr_rnd_t) r), (unsigned long) p, i); \
mpfr_dump (b); \
printf ("C="); mpfr_dump (c); \
printf ("add1 : "); mpfr_dump (a1); \
printf ("add1sp: "); mpfr_dump (a2); \
exit(1); \
} \
while (0)
#define STD_ERROR2 \
do \
{ \
printf("ERROR: Wrong inexact flag for %s and p=%lu and i=%d:\nB=", \
mpfr_print_rnd_mode ((mpfr_rnd_t) r), (unsigned long) p, i); \
mpfr_dump (b); \
printf ("C="); mpfr_dump (c); \
printf ("A="); mpfr_dump (a1); \
printf ("Add1: %d. Add1sp: %d\n", inexact1, inexact2); \
exit(1); \
} \
while (0)
#define SET_PREC(_p) \
do \
{ \
p = _p; \
mpfr_set_prec(a1, _p); mpfr_set_prec(a2, _p); \
mpfr_set_prec(b, _p); mpfr_set_prec(c, _p); \
} \
while (0)
static void
check_random (mpfr_prec_t p)
{
mpfr_t a1, a2, b, bs, c, cs;
int r;
int i, inexact1, inexact2;
mpfr_inits2 (p, a1, a2, b, c, (mpfr_ptr) 0);
for (i = 0 ; i < 500 ; i++)
{
mpfr_urandom (b, RANDS, MPFR_RNDA);
mpfr_urandom (c, RANDS, MPFR_RNDA);
if (MPFR_IS_PURE_FP(b) && MPFR_IS_PURE_FP(c))
{
if (RAND_BOOL ())
mpfr_neg (b, b, MPFR_RNDN);
if (RAND_BOOL ())
mpfr_neg (c, c, MPFR_RNDN);
if (MPFR_GET_EXP(b) < MPFR_GET_EXP(c))
{
/* Exchange b and c, except the signs (actually, the sign
of cs doesn't matter). */
MPFR_ALIAS (bs, c, MPFR_SIGN (b), MPFR_EXP (c));
MPFR_ALIAS (cs, b, MPFR_SIGN (c), MPFR_EXP (b));
}
else
{
MPFR_ALIAS (bs, b, MPFR_SIGN (b), MPFR_EXP (b));
MPFR_ALIAS (cs, c, MPFR_SIGN (c), MPFR_EXP (c));
}
RND_LOOP (r)
{
mpfr_flags_t flags1, flags2;
if (r == MPFR_RNDF) /* inexact makes no sense, moreover
mpfr_add1 and mpfr_add1sp could
return different values */
continue;
mpfr_clear_flags ();
inexact1 = mpfr_add1 (a1, bs, cs, (mpfr_rnd_t) r);
flags1 = __gmpfr_flags;
mpfr_clear_flags ();
inexact2 = mpfr_add1sp (a2, b, c, (mpfr_rnd_t) r);
flags2 = __gmpfr_flags;
if (! mpfr_equal_p (a1, a2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
MPFR_ASSERTN (flags1 == flags2);
}
}
}
mpfr_clears (a1, a2, b, c, (mpfr_ptr) 0);
}
static void
check_special (void)
{
mpfr_t a1, a2, b, c;
int r;
mpfr_prec_t p;
int i = -1, inexact1, inexact2;
mpfr_inits (a1, a2, b, c, (mpfr_ptr) 0);
RND_LOOP (r)
{
if (r == MPFR_RNDF)
continue; /* inexact makes no sense, mpfr_add1 and mpfr_add1sp
could differ */
SET_PREC(53);
mpfr_set_str1 (b, "1@100");
mpfr_set_str1 (c, "1@1");
inexact1 = mpfr_add1(a1, b, c, (mpfr_rnd_t) r);
inexact2 = mpfr_add1sp(a2, b, c, (mpfr_rnd_t) r);
if (mpfr_cmp(a1, a2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (b, "1E53");
mpfr_set_str_binary (c, "1E0");
inexact1 = mpfr_add1(a1, b, c, (mpfr_rnd_t) r);
inexact2 = mpfr_add1sp(a2, b, c, (mpfr_rnd_t) r);
if (mpfr_cmp(a1, a2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
}
mpfr_set_prec (c, 2);
mpfr_set_prec (a1, 2);
mpfr_set_prec (a2, 2);
mpfr_set_str_binary (c, "1.0e1");
mpfr_set_str_binary (a2, "1.1e-1");
mpfr_set_str_binary (a1, "0.11E2");
mpfr_add1sp (a2, c, a2, MPFR_RNDN);
if (mpfr_cmp (a1, a2))
{
printf ("Regression reuse test failed!\n");
exit (1);
}
mpfr_set_prec (a1, 63);
mpfr_set_prec (b, 63);
mpfr_set_prec (c, 63);
mpfr_set_str_binary (b, "0.111111101010110111010100110101010110000101111011011011100011001E-3");
mpfr_set_str_binary (c, "0.101111111101110000001100001000011000011011010001010011111100111E-4");
mpfr_clear_inexflag ();
mpfr_add1sp (a1, b, c, MPFR_RNDN);
MPFR_ASSERTN (mpfr_inexflag_p ());
mpfr_clears (a1, a2, b, c, (mpfr_ptr) 0);
}