static void
check_random (mpfr_prec_t p)
{
mpfr_t x,y,z,x2;
int r;
int i, inexact1, inexact2;
mpfr_inits2 (p, x, y, z, x2, (mpfr_ptr) 0);
for (i = 0 ; i < 500 ; i++)
{
mpfr_urandomb (y, RANDS);
mpfr_urandomb (z, RANDS);
if (MPFR_IS_PURE_FP(y) && MPFR_IS_PURE_FP(z))
for(r = 0 ; r < GMP_RND_MAX ; r++)
{
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
}
}
mpfr_clears (x, y, z, x2, (mpfr_ptr) 0);
}
static void
check_special (void)
{
mpfr_t x,y,z,x2;
int r;
mpfr_prec_t p;
int i = -1, inexact1, inexact2;
mp_exp_t es;
mpfr_inits (x, y, z, x2, (mpfr_ptr) 0);
for (r = 0 ; r < GMP_RND_MAX ; r++)
{
p = 53;
mpfr_set_prec(x, 53);
mpfr_set_prec(x2, 53);
mpfr_set_prec(y, 53);
mpfr_set_prec(z, 53);
mpfr_set_str_binary (y,
"0.10110111101101110010010010011011000001101101011011001E31");
mpfr_sub1sp (x, y, y, (mp_rnd_t) r);
if (mpfr_cmp_ui(x, 0))
{
printf("Error for x-x with p=%lu. Expected 0. Got:", p);
mpfr_print_binary(x);
exit(1);
}
mpfr_set(z, y, (mp_rnd_t) r);
mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp_ui(x, 0))
{
printf("Error for x-y with y=x and p=%lu. Expected 0. Got:", p);
mpfr_print_binary(x);
exit(1);
}
/* diff = 0 */
mpfr_set_str_binary (y,
"0.10110111101101110010010010011011001001101101011011001E31");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
/* Diff = 1 */
mpfr_set_str_binary (y,
"0.10110111101101110010010010011011000001101101011011001E30");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
/* Diff = 2 */
mpfr_set_str_binary (y,
"0.10110111101101110010010010011011000101101101011011001E32");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
/* Diff = 32 */
mpfr_set_str_binary (y,
"0.10110111101101110010010010011011000001101101011011001E63");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
/* Diff = 52 */
mpfr_set_str_binary (y,
"0.10110111101101110010010010011011010001101101011011001E83");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
/* Diff = 53 */
mpfr_set_str_binary (y,
"0.10110111101101110010010010011111000001101101011011001E31");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
/* Diff > 200 */
mpfr_set_str_binary (y,
"0.10110111101101110010010010011011000001101101011011001E331");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.10000000000000000000000000000000000000000000000000000E31");
mpfr_set_str_binary (z,
"0.11111111111111111111111111111111111111111111111111111E30");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.10000000000000000000000000000000000000000000000000000E31");
mpfr_set_str_binary (z,
"0.11111111111111111111111111111111111111111111111111111E29");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.10000000000000000000000000000000000000000000000000000E52");
mpfr_set_str_binary (z,
"0.10000000000010000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.11100000000000000000000000000000000000000000000000000E53");
mpfr_set_str_binary (z,
"0.10000000000000000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(z, y, z, (mp_rnd_t) r);
mpfr_set(x, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.10000000000000000000000000000000000000000000000000000E53");
mpfr_set_str_binary (z,
"0.10100000000000000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.10000000000000000000000000000000000000000000000000000E54");
mpfr_set_str_binary (z,
"0.10100000000000000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
p = 63;
mpfr_set_prec(x, p);
mpfr_set_prec(x2, p);
mpfr_set_prec(y, p);
mpfr_set_prec(z, p);
mpfr_set_str_binary (y,
"0.100000000000000000000000000000000000000000000000000000000000000E62");
mpfr_set_str_binary (z,
"0.110000000000000000000000000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
p = 64;
mpfr_set_prec(x, 64);
mpfr_set_prec(x2, 64);
mpfr_set_prec(y, 64);
mpfr_set_prec(z, 64);
mpfr_set_str_binary (y,
"0.1100000000000000000000000000000000000000000000000000000000000000E31");
mpfr_set_str_binary (z,
"0.1111111111111111111111111110000000000000000000000000011111111111E29");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.1000000000000000000000000000000000000000000000000000000000000000E63");
mpfr_set_str_binary (z,
"0.1011000000000000000000000000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.1000000000000000000000000000000000000000000000000000000000000000E63");
mpfr_set_str_binary (z,
"0.1110000000000000000000000000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.10000000000000000000000000000000000000000000000000000000000000E63");
mpfr_set_str_binary (z,
"0.10000000000000000000000000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.1000000000000000000000000000000000000000000000000000000000000000E64");
mpfr_set_str_binary (z,
"0.1010000000000000000000000000000000000000000000000000000000000000E00");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
MPFR_SET_NAN(x);
MPFR_SET_NAN(x2);
mpfr_set_str_binary (y,
"0.1000000000000000000000000000000000000000000000000000000000000000"
"E-1073741823");
mpfr_set_str_binary (z,
"0.1100000000000000000000000000000000000000000000000000000000000000"
"E-1073741823");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
p = 9;
mpfr_set_prec(x, p);
mpfr_set_prec(x2, p);
mpfr_set_prec(y, p);
mpfr_set_prec(z, p);
mpfr_set_str_binary (y, "0.100000000E1");
mpfr_set_str_binary (z, "0.100000000E-8");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
p = 34;
mpfr_set_prec(x, p);
mpfr_set_prec(x2, p);
mpfr_set_prec(y, p);
mpfr_set_prec(z, p);
mpfr_set_str_binary (y, "-0.1011110000111100010111011100110100E-18");
mpfr_set_str_binary (z, "0.1000101010110011010101011110000000E-14");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
p = 124;
mpfr_set_prec(x, p);
mpfr_set_prec(x2, p);
mpfr_set_prec(y, p);
mpfr_set_prec(z, p);
mpfr_set_str_binary (y,
"0.1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E1");
mpfr_set_str_binary (z,
"0.1011111000100111000011001000011101010101101100101010101001000001110100001101110110001110111010000011101001100010111110001100E-31");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
p = 288;
mpfr_set_prec(x, p);
mpfr_set_prec(x2, p);
mpfr_set_prec(y, p);
mpfr_set_prec(z, p);
mpfr_set_str_binary (y,
"0.111000110011000001000111101010111011110011101001101111111110000011100101000001001010110010101010011001010100000001110011110001010101101010001011101110100100001011110100110000101101100011010001001011011010101010000010001101001000110010010111111011110001111101001000101101001100101100101000E80");
mpfr_set_str_binary (z,
"-0.100001111111101001011010001100110010100111001110000110011101001011010100001000000100111011010110110010000000000010101101011000010000110001110010100001100101011100100100001011000100011110000001010101000100011101001000010111100000111000111011001000100100011000100000010010111000000100100111E-258");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
p = 85;
mpfr_set_prec(x, p);
mpfr_set_prec(x2, p);
mpfr_set_prec(y, p);
mpfr_set_prec(z, p);
mpfr_set_str_binary (y,
"0.1111101110100110110110100010101011101001100010100011110110110010010011101100101111100E-4");
mpfr_set_str_binary (z,
"0.1111101110100110110110100010101001001000011000111000011101100101110100001110101010110E-4");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
p = 64;
mpfr_set_prec(x, p); mpfr_set_prec(x2, p);
mpfr_set_prec(y, p); mpfr_set_prec(z, p);
mpfr_set_str_binary (y,
"0.11000000000000000000000000000000"
"00000000000000000000000000000000E1");
mpfr_set_str_binary (z,
"0.10000000000000000000000000000000"
"00000000000000000000000000000001E0");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.11000000000000000000000000000000"
"000000000000000000000000000001E1");
mpfr_set_str_binary (z,
"0.10000000000000000000000000000000"
"00000000000000000000000000000001E0");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
es = mpfr_get_emin ();
set_emin (-1024);
mpfr_set_str_binary (y,
"0.10000000000000000000000000000000"
"000000000000000000000000000000E-1023");
mpfr_set_str_binary (z,
"0.10000000000000000000000000000000"
"00000000000000000000000000000001E-1023");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
mpfr_set_str_binary (y,
"0.10000000000000000000000000000000"
"000000000000000000000000000000E-1023");
mpfr_set_str_binary (z,
"0.1000000000000000000000000000000"
"000000000000000000000000000000E-1023");
inexact1 = mpfr_sub1(x2, y, z, (mp_rnd_t) r);
inexact2 = mpfr_sub1sp(x, y, z, (mp_rnd_t) r);
if (mpfr_cmp(x, x2))
STD_ERROR;
if (inexact1 != inexact2)
STD_ERROR2;
set_emin (es);
}
mpfr_clears (x, y, z, x2, (mpfr_ptr) 0);
}
int
mpfr_sub (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t rnd_mode)
{
MPFR_LOG_FUNC (("b[%#R]=%R c[%#R]=%R rnd=%d", b, b, c, c, rnd_mode),
("a[%#R]=%R", a, a));
if (MPFR_ARE_SINGULAR (b,c))
{
if (MPFR_IS_NAN (b) || MPFR_IS_NAN (c))
{
MPFR_SET_NAN (a);
MPFR_RET_NAN;
}
else if (MPFR_IS_INF (b))
{
if (!MPFR_IS_INF (c) || MPFR_SIGN (b) != MPFR_SIGN(c))
{
MPFR_SET_INF (a);
MPFR_SET_SAME_SIGN (a, b);
MPFR_RET (0); /* exact */
}
else
{
MPFR_SET_NAN (a); /* Inf - Inf */
MPFR_RET_NAN;
}
}
else if (MPFR_IS_INF (c))
{
MPFR_SET_INF (a);
MPFR_SET_OPPOSITE_SIGN (a, c);
MPFR_RET (0); /* exact */
}
else if (MPFR_IS_ZERO (b))
{
if (MPFR_IS_ZERO (c))
{
int sign = rnd_mode != MPFR_RNDD
? ((MPFR_IS_NEG(b) && MPFR_IS_POS(c)) ? -1 : 1)
: ((MPFR_IS_POS(b) && MPFR_IS_NEG(c)) ? 1 : -1);
MPFR_SET_SIGN (a, sign);
MPFR_SET_ZERO (a);
MPFR_RET(0); /* 0 - 0 is exact */
}
else
return mpfr_neg (a, c, rnd_mode);
}
else
{
MPFR_ASSERTD (MPFR_IS_ZERO (c));
return mpfr_set (a, b, rnd_mode);
}
}
MPFR_ASSERTD (MPFR_IS_PURE_FP (b) && MPFR_IS_PURE_FP (c));
if (MPFR_LIKELY (MPFR_SIGN (b) == MPFR_SIGN (c)))
{ /* signs are equal, it's a real subtraction */
if (MPFR_LIKELY (MPFR_PREC (a) == MPFR_PREC (b)
&& MPFR_PREC (b) == MPFR_PREC (c)))
return mpfr_sub1sp (a, b, c, rnd_mode);
else
return mpfr_sub1 (a, b, c, rnd_mode);
}
else
{ /* signs differ, it's an addition */
if (MPFR_GET_EXP (b) < MPFR_GET_EXP (c))
{ /* exchange rounding modes toward +/- infinity */
int inexact;
rnd_mode = MPFR_INVERT_RND (rnd_mode);
if (MPFR_LIKELY (MPFR_PREC (a) == MPFR_PREC (b)
&& MPFR_PREC (b) == MPFR_PREC (c)))
inexact = mpfr_add1sp (a, c, b, rnd_mode);
else
inexact = mpfr_add1 (a, c, b, rnd_mode);
MPFR_CHANGE_SIGN (a);
return -inexact;
}
else
{
if (MPFR_LIKELY (MPFR_PREC (a) == MPFR_PREC (b)
&& MPFR_PREC (b) == MPFR_PREC (c)))
return mpfr_add1sp (a, b, c, rnd_mode);
else
return mpfr_add1 (a, b, c, rnd_mode);
}
}
}
int
mpfr_add (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t rnd_mode)
{
MPFR_LOG_FUNC (("b[%#R]=%R c[%#R]=%R rnd=%d", b, b, c, c, rnd_mode),
("a[%#R]=%R", a, a));
if (MPFR_ARE_SINGULAR(b,c))
{
if (MPFR_IS_NAN(b) || MPFR_IS_NAN(c))
{
MPFR_SET_NAN(a);
MPFR_RET_NAN;
}
/* neither b nor c is NaN here */
else if (MPFR_IS_INF(b))
{
if (!MPFR_IS_INF(c) || MPFR_SIGN(b) == MPFR_SIGN(c))
{
MPFR_SET_INF(a);
MPFR_SET_SAME_SIGN(a, b);
MPFR_RET(0); /* exact */
}
else
{
MPFR_SET_NAN(a);
MPFR_RET_NAN;
}
}
else if (MPFR_IS_INF(c))
{
MPFR_SET_INF(a);
MPFR_SET_SAME_SIGN(a, c);
MPFR_RET(0); /* exact */
}
/* now either b or c is zero */
else if (MPFR_IS_ZERO(b))
{
if (MPFR_IS_ZERO(c))
{
/* for round away, we take the same convention for 0 + 0
as for round to zero or to nearest: it always gives +0,
except (-0) + (-0) = -0. */
MPFR_SET_SIGN(a,
(rnd_mode != MPFR_RNDD ?
((MPFR_IS_NEG(b) && MPFR_IS_NEG(c)) ? -1 : 1) :
((MPFR_IS_POS(b) && MPFR_IS_POS(c)) ? 1 : -1)));
MPFR_SET_ZERO(a);
MPFR_RET(0); /* 0 + 0 is exact */
}
return mpfr_set (a, c, rnd_mode);
}
else
{
MPFR_ASSERTD(MPFR_IS_ZERO(c));
return mpfr_set (a, b, rnd_mode);
}
}
MPFR_ASSERTD(MPFR_IS_PURE_FP(b) && MPFR_IS_PURE_FP(c));
if (MPFR_UNLIKELY(MPFR_SIGN(b) != MPFR_SIGN(c)))
{ /* signs differ, it's a subtraction */
if (MPFR_LIKELY(MPFR_PREC(a) == MPFR_PREC(b)
&& MPFR_PREC(b) == MPFR_PREC(c)))
return mpfr_sub1sp(a,b,c,rnd_mode);
else
return mpfr_sub1(a, b, c, rnd_mode);
}
else
{ /* signs are equal, it's an addition */
if (MPFR_LIKELY(MPFR_PREC(a) == MPFR_PREC(b)
&& MPFR_PREC(b) == MPFR_PREC(c)))
if (MPFR_GET_EXP(b) < MPFR_GET_EXP(c))
return mpfr_add1sp(a, c, b, rnd_mode);
else
return mpfr_add1sp(a, b, c, rnd_mode);
else
if (MPFR_GET_EXP(b) < MPFR_GET_EXP(c))
return mpfr_add1(a, c, b, rnd_mode);
else
return mpfr_add1(a, b, c, rnd_mode);
}
}