TEST(math, logbl) {
ASSERT_EQ(-HUGE_VAL, logbl(0.0L));
ASSERT_TRUE(isnan(logbl(nanl(""))));
ASSERT_TRUE(isinf(logbl(HUGE_VALL)));
ASSERT_EQ(0.0L, logbl(1.0L));
ASSERT_EQ(3.0L, logbl(10.0L));
}
long double
hypotl (long double x, long double y)
{
int exx;
int eyy;
int scale;
long double xx =fabsl(x);
long double yy =fabsl(y);
if (!isfinite(xx) || !isfinite(yy))
{
/* Annex F.9.4.3, hypot returns +infinity if
either component is an infinity, even when the
other compoent is NaN. */
return (isinf(xx) || isinf(yy)) ? INFINITY : NAN;
}
if (xx == 0.0L)
return yy;
if (yy == 0.0L)
return xx;
/* Get exponents */
exx = logbl (xx);
eyy = logbl (yy);
/* Check if large differences in scale */
scale = exx - eyy;
if ( scale > PRECL)
return xx;
if ( scale < -PRECL)
return yy;
/* Exponent of approximate geometric mean (x 2) */
scale = (exx + eyy) >> 1;
/* Rescale: Geometric mean is now about 2 */
x = scalbnl(xx, -scale);
y = scalbnl(yy, -scale);
xx = sqrtl(x * x + y * y);
/* Check for overflow and underflow */
exx = logbl(xx);
exx += scale;
if (exx > LDBL_MAX_EXP)
{
errno = ERANGE;
return __INFL;
}
if (exx < LDBL_MIN_EXP)
return 0.0L;
/* Undo scaling */
return (scalbnl (xx, scale));
}
void test_logb()
{
static_assert((std::is_same<decltype(logb((double)0)), double>::value), "");
static_assert((std::is_same<decltype(logbf(0)), float>::value), "");
static_assert((std::is_same<decltype(logbl(0)), long double>::value), "");
assert(logb(1) == 0);
}
void
domathl (void)
{
#ifndef NO_LONG_DOUBLE
long double f1;
long double f2;
int i1;
f1 = acosl(0.0);
fprintf( stdout, "acosl : %Lf\n", f1);
f1 = acoshl(0.0);
fprintf( stdout, "acoshl : %Lf\n", f1);
f1 = asinl(1.0);
fprintf( stdout, "asinl : %Lf\n", f1);
f1 = asinhl(1.0);
fprintf( stdout, "asinhl : %Lf\n", f1);
f1 = atanl(M_PI_4);
fprintf( stdout, "atanl : %Lf\n", f1);
f1 = atan2l(2.3, 2.3);
fprintf( stdout, "atan2l : %Lf\n", f1);
f1 = atanhl(1.0);
fprintf( stdout, "atanhl : %Lf\n", f1);
f1 = cbrtl(27.0);
fprintf( stdout, "cbrtl : %Lf\n", f1);
f1 = ceill(3.5);
fprintf( stdout, "ceill : %Lf\n", f1);
f1 = copysignl(3.5, -2.5);
fprintf( stdout, "copysignl : %Lf\n", f1);
f1 = cosl(M_PI_2);
fprintf( stdout, "cosl : %Lf\n", f1);
f1 = coshl(M_PI_2);
fprintf( stdout, "coshl : %Lf\n", f1);
f1 = erfl(42.0);
fprintf( stdout, "erfl : %Lf\n", f1);
f1 = erfcl(42.0);
fprintf( stdout, "erfcl : %Lf\n", f1);
f1 = expl(0.42);
fprintf( stdout, "expl : %Lf\n", f1);
f1 = exp2l(0.42);
fprintf( stdout, "exp2l : %Lf\n", f1);
f1 = expm1l(0.00042);
fprintf( stdout, "expm1l : %Lf\n", f1);
f1 = fabsl(-1.123);
fprintf( stdout, "fabsl : %Lf\n", f1);
f1 = fdiml(1.123, 2.123);
fprintf( stdout, "fdiml : %Lf\n", f1);
f1 = floorl(0.5);
fprintf( stdout, "floorl : %Lf\n", f1);
f1 = floorl(-0.5);
fprintf( stdout, "floorl : %Lf\n", f1);
f1 = fmal(2.1, 2.2, 3.01);
fprintf( stdout, "fmal : %Lf\n", f1);
f1 = fmaxl(-0.42, 0.42);
fprintf( stdout, "fmaxl : %Lf\n", f1);
f1 = fminl(-0.42, 0.42);
fprintf( stdout, "fminl : %Lf\n", f1);
f1 = fmodl(42.0, 3.0);
fprintf( stdout, "fmodl : %Lf\n", f1);
/* no type-specific variant */
i1 = fpclassify(1.0);
fprintf( stdout, "fpclassify : %d\n", i1);
f1 = frexpl(42.0, &i1);
fprintf( stdout, "frexpl : %Lf\n", f1);
f1 = hypotl(42.0, 42.0);
fprintf( stdout, "hypotl : %Lf\n", f1);
i1 = ilogbl(42.0);
fprintf( stdout, "ilogbl : %d\n", i1);
/* no type-specific variant */
i1 = isfinite(3.0);
fprintf( stdout, "isfinite : %d\n", i1);
/* no type-specific variant */
i1 = isgreater(3.0, 3.1);
fprintf( stdout, "isgreater : %d\n", i1);
/* no type-specific variant */
i1 = isgreaterequal(3.0, 3.1);
fprintf( stdout, "isgreaterequal : %d\n", i1);
/* no type-specific variant */
i1 = isinf(3.0);
fprintf( stdout, "isinf : %d\n", i1);
/* no type-specific variant */
i1 = isless(3.0, 3.1);
fprintf( stdout, "isless : %d\n", i1);
/* no type-specific variant */
i1 = islessequal(3.0, 3.1);
fprintf( stdout, "islessequal : %d\n", i1);
/* no type-specific variant */
i1 = islessgreater(3.0, 3.1);
fprintf( stdout, "islessgreater : %d\n", i1);
/* no type-specific variant */
i1 = isnan(0.0);
fprintf( stdout, "isnan : %d\n", i1);
/* no type-specific variant */
i1 = isnormal(3.0);
fprintf( stdout, "isnormal : %d\n", i1);
/* no type-specific variant */
f1 = isunordered(1.0, 2.0);
fprintf( stdout, "isunordered : %d\n", i1);
f1 = j0l(1.2);
fprintf( stdout, "j0l : %Lf\n", f1);
f1 = j1l(1.2);
fprintf( stdout, "j1l : %Lf\n", f1);
f1 = jnl(2,1.2);
fprintf( stdout, "jnl : %Lf\n", f1);
f1 = ldexpl(1.2,3);
fprintf( stdout, "ldexpl : %Lf\n", f1);
f1 = lgammal(42.0);
fprintf( stdout, "lgammal : %Lf\n", f1);
f1 = llrintl(-0.5);
fprintf( stdout, "llrintl : %Lf\n", f1);
f1 = llrintl(0.5);
fprintf( stdout, "llrintl : %Lf\n", f1);
f1 = llroundl(-0.5);
fprintf( stdout, "lroundl : %Lf\n", f1);
f1 = llroundl(0.5);
fprintf( stdout, "lroundl : %Lf\n", f1);
f1 = logl(42.0);
fprintf( stdout, "logl : %Lf\n", f1);
f1 = log10l(42.0);
fprintf( stdout, "log10l : %Lf\n", f1);
f1 = log1pl(42.0);
fprintf( stdout, "log1pl : %Lf\n", f1);
f1 = log2l(42.0);
fprintf( stdout, "log2l : %Lf\n", f1);
f1 = logbl(42.0);
fprintf( stdout, "logbl : %Lf\n", f1);
f1 = lrintl(-0.5);
fprintf( stdout, "lrintl : %Lf\n", f1);
f1 = lrintl(0.5);
fprintf( stdout, "lrintl : %Lf\n", f1);
f1 = lroundl(-0.5);
fprintf( stdout, "lroundl : %Lf\n", f1);
f1 = lroundl(0.5);
fprintf( stdout, "lroundl : %Lf\n", f1);
f1 = modfl(42.0,&f2);
fprintf( stdout, "lmodfl : %Lf\n", f1);
f1 = nanl("");
fprintf( stdout, "nanl : %Lf\n", f1);
f1 = nearbyintl(1.5);
fprintf( stdout, "nearbyintl : %Lf\n", f1);
f1 = nextafterl(1.5,2.0);
fprintf( stdout, "nextafterl : %Lf\n", f1);
f1 = powl(3.01, 2.0);
fprintf( stdout, "powl : %Lf\n", f1);
f1 = remainderl(3.01,2.0);
fprintf( stdout, "remainderl : %Lf\n", f1);
f1 = remquol(29.0,3.0,&i1);
fprintf( stdout, "remquol : %Lf\n", f1);
f1 = rintl(0.5);
fprintf( stdout, "rintl : %Lf\n", f1);
f1 = rintl(-0.5);
fprintf( stdout, "rintl : %Lf\n", f1);
f1 = roundl(0.5);
fprintf( stdout, "roundl : %Lf\n", f1);
f1 = roundl(-0.5);
fprintf( stdout, "roundl : %Lf\n", f1);
f1 = scalblnl(1.2,3);
fprintf( stdout, "scalblnl : %Lf\n", f1);
f1 = scalbnl(1.2,3);
fprintf( stdout, "scalbnl : %Lf\n", f1);
/* no type-specific variant */
i1 = signbit(1.0);
fprintf( stdout, "signbit : %i\n", i1);
f1 = sinl(M_PI_4);
fprintf( stdout, "sinl : %Lf\n", f1);
f1 = sinhl(M_PI_4);
fprintf( stdout, "sinhl : %Lf\n", f1);
f1 = sqrtl(9.0);
fprintf( stdout, "sqrtl : %Lf\n", f1);
f1 = tanl(M_PI_4);
fprintf( stdout, "tanl : %Lf\n", f1);
f1 = tanhl(M_PI_4);
fprintf( stdout, "tanhl : %Lf\n", f1);
f1 = tgammal(2.1);
fprintf( stdout, "tgammal : %Lf\n", f1);
f1 = truncl(3.5);
fprintf( stdout, "truncl : %Lf\n", f1);
f1 = y0l(1.2);
fprintf( stdout, "y0l : %Lf\n", f1);
f1 = y1l(1.2);
fprintf( stdout, "y1l : %Lf\n", f1);
f1 = ynl(3,1.2);
fprintf( stdout, "ynl : %Lf\n", f1);
#endif
}
/* _IEEE_EXPONENT_I2_D - IEEE EXPONENT returns the exponent part of the
* 128-bit argument in 16-bit integer.
*/
_f_int2
_IEEE_EXPONENT_I2_D(_f_real16 x)
{
union _ieee_ldouble {
_f_real16 ldword;
_f_real8 dbword[2];
};
#if __BYTE_ORDER == __LITTLE_ENDIAN
const int dbword_hi = 1;
const int dbword_lo = 0;
#else
const int dbword_hi = 0;
const int dbword_lo = 1;
#endif
union _ieee_double {
_f_real8 dword;
_f_int8 lword;
unsigned long long ull;
struct {
#if __BYTE_ORDER == __LITTLE_ENDIAN
unsigned int mantissa2 : IEEE_64_MANT_BTS2;
unsigned int mantissa1 : IEEE_64_MANT_BTS1;
unsigned int exponent : IEEE_64_EXPO_BITS;
unsigned int sign : 1;
#else
unsigned int sign : 1;
unsigned int exponent : IEEE_64_EXPO_BITS;
unsigned int mantissa1 : IEEE_64_MANT_BTS1;
unsigned int mantissa2 : IEEE_64_MANT_BTS2;
#endif
} parts;
};
_f_int2 iresult = 0;
switch(fp_class_l(x)) {
case FP_SNAN:
case FP_QNAN:
case FP_POS_INF:
case FP_NEG_INF:
{
/* return positive huge for NaN or infinity. */
return(HUGE_INT2_F90);
}
case FP_POS_NORM:
case FP_NEG_NORM:
{
#pragma weak logbl
return((_f_int2) logbl(x));
}
case FP_POS_DENORM:
case FP_NEG_DENORM:
{
/* return exponent from first 64-bit double. */
union _ieee_ldouble x_val;
x_val.ldword = x;
switch(fp_class_d(x_val.dbword[dbword_hi])) {
case FP_POS_NORM:
case FP_NEG_NORM:
{
union _ieee_double db_x;
db_x.dword = x_val.dbword[dbword_hi];
return((_f_int2)(db_x.parts.exponent -
IEEE_64_EXPO_BIAS));
}
case FP_POS_DENORM:
case FP_NEG_DENORM:
{
union _ieee_double db_x;
db_x.dword = x_val.dbword[dbword_hi];
db_x.ull =
IEEE_64_MANTISSA & db_x.ull;
return((_f_int2)(-IEEE_64_EXPO_BIAS -
(_leadz8(db_x.ull) +
IEEE_64_EXPO_BITS)));
}
}
}
case FP_POS_ZERO:
case FP_NEG_ZERO:
{
/* return negative huge for zero. */
return(-HUGE_INT2_F90);
}
}
return(iresult);
}
static int testl(long double long_double_x, int int_x, long long_x)
{
int r = 0;
r += __finitel(long_double_x);
r += __fpclassifyl(long_double_x);
r += __isinfl(long_double_x);
r += __isnanl(long_double_x);
r += __signbitl(long_double_x);
r += acoshl(long_double_x);
r += acosl(long_double_x);
r += asinhl(long_double_x);
r += asinl(long_double_x);
r += atan2l(long_double_x, long_double_x);
r += atanhl(long_double_x);
r += atanl(long_double_x);
r += cbrtl(long_double_x);
r += ceill(long_double_x);
r += copysignl(long_double_x, long_double_x);
r += coshl(long_double_x);
r += cosl(long_double_x);
r += erfcl(long_double_x);
r += erfl(long_double_x);
r += exp2l(long_double_x);
r += expl(long_double_x);
r += expm1l(long_double_x);
r += fabsl(long_double_x);
r += fdiml(long_double_x, long_double_x);
r += floorl(long_double_x);
r += fmal(long_double_x, long_double_x, long_double_x);
r += fmaxl(long_double_x, long_double_x);
r += fminl(long_double_x, long_double_x);
r += fmodl(long_double_x, long_double_x);
r += frexpl(long_double_x, &int_x);
r += hypotl(long_double_x, long_double_x);
r += ilogbl(long_double_x);
r += ldexpl(long_double_x, int_x);
r += lgammal(long_double_x);
r += llrintl(long_double_x);
r += llroundl(long_double_x);
r += log10l(long_double_x);
r += log1pl(long_double_x);
r += log2l(long_double_x);
r += logbl(long_double_x);
r += logl(long_double_x);
r += lrintl(long_double_x);
r += lroundl(long_double_x);
r += modfl(long_double_x, &long_double_x);
r += nearbyintl(long_double_x);
r += nextafterl(long_double_x, long_double_x);
r += nexttowardl(long_double_x, long_double_x);
r += powl(long_double_x, long_double_x);
r += remainderl(long_double_x, long_double_x);
r += remquol(long_double_x, long_double_x, &int_x);
r += rintl(long_double_x);
r += roundl(long_double_x);
r += scalblnl(long_double_x, long_x);
r += scalbnl(long_double_x, int_x);
r += sinhl(long_double_x);
r += sinl(long_double_x);
r += sqrtl(long_double_x);
r += tanhl(long_double_x);
r += tanl(long_double_x);
r += tgammal(long_double_x);
r += truncl(long_double_x);
return r;
}
double logb(double x)
{
return logbl(x);
}
