__complex__ long double
__clogl (__complex__ long double x)
{
__complex__ long double result;
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
{
/* Real and imaginary part are 0.0. */
__imag__ result = signbit (__real__ x) ? M_PIl : 0.0;
__imag__ result = __copysignl (__imag__ result, __imag__ x);
/* Yes, the following line raises an exception. */
__real__ result = -1.0 / fabsl (__real__ x);
}
else if (__glibc_likely (rcls != FP_NAN && icls != FP_NAN))
{
/* Neither real nor imaginary part is NaN. */
long double absx = fabsl (__real__ x), absy = fabsl (__imag__ x);
int scale = 0;
if (absx < absy)
{
long double t = absx;
absx = absy;
absy = t;
}
if (absx > LDBL_MAX / 2.0L)
{
scale = -1;
absx = __scalbnl (absx, scale);
absy = (absy >= LDBL_MIN * 2.0L ? __scalbnl (absy, scale) : 0.0L);
}
else if (absx < LDBL_MIN && absy < LDBL_MIN)
{
scale = LDBL_MANT_DIG;
absx = __scalbnl (absx, scale);
absy = __scalbnl (absy, scale);
}
if (absx == 1.0L && scale == 0)
{
__real__ result = __log1pl (absy * absy) / 2.0L;
math_check_force_underflow_nonneg (__real__ result);
}
else if (absx > 1.0L && absx < 2.0L && absy < 1.0L && scale == 0)
{
long double d2m1 = (absx - 1.0L) * (absx + 1.0L);
if (absy >= LDBL_EPSILON)
d2m1 += absy * absy;
__real__ result = __log1pl (d2m1) / 2.0L;
}
else if (absx < 1.0L
&& absx >= 0.5L
&& absy < LDBL_EPSILON / 2.0L
&& scale == 0)
{
long double d2m1 = (absx - 1.0L) * (absx + 1.0L);
__real__ result = __log1pl (d2m1) / 2.0L;
}
else if (absx < 1.0L
&& absx >= 0.5L
&& scale == 0
&& absx * absx + absy * absy >= 0.5L)
{
long double d2m1 = __x2y2m1l (absx, absy);
__real__ result = __log1pl (d2m1) / 2.0L;
}
else
{
long double d = __ieee754_hypotl (absx, absy);
__real__ result = __ieee754_logl (d) - scale * M_LN2l;
}
__imag__ result = __ieee754_atan2l (__imag__ x, __real__ x);
}
else
{
__imag__ result = __nanl ("");
if (rcls == FP_INFINITE || icls == FP_INFINITE)
/* Real or imaginary part is infinite. */
__real__ result = HUGE_VALL;
else
__real__ result = __nanl ("");
}
return result;
}
__complex__ long double
__clog10l (__complex__ long double x)
{
__complex__ long double result;
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
if (__builtin_expect (rcls == FP_ZERO && icls == FP_ZERO, 0))
{
/* Real and imaginary part are 0.0. */
__imag__ result = signbit (__real__ x) ? M_PIl : 0.0;
__imag__ result = __copysignl (__imag__ result, __imag__ x);
/* Yes, the following line raises an exception. */
__real__ result = -1.0 / fabsl (__real__ x);
}
else if (__builtin_expect (rcls != FP_NAN && icls != FP_NAN, 1))
{
/* Neither real nor imaginary part is NaN. */
long double absx = fabsl (__real__ x), absy = fabsl (__imag__ x);
int scale = 0;
if (absx < absy)
{
long double t = absx;
absx = absy;
absy = t;
}
if (absx > LDBL_MAX / 2.0L)
{
scale = -1;
absx = __scalbnl (absx, scale);
absy = (absy >= LDBL_MIN * 2.0L ? __scalbnl (absy, scale) : 0.0L);
}
else if (absx < LDBL_MIN && absy < LDBL_MIN)
{
scale = LDBL_MANT_DIG;
absx = __scalbnl (absx, scale);
absy = __scalbnl (absy, scale);
}
if (absx == 1.0L && scale == 0)
{
long double absy2 = absy * absy;
if (absy2 <= LDBL_MIN * 2.0L * M_LN10l)
__real__ result
= (absy2 / 2.0L - absy2 * absy2 / 4.0L) * M_LOG10El;
else
__real__ result = __log1pl (absy2) * (M_LOG10El / 2.0L);
}
else if (absx > 1.0L && absx < 2.0L && absy < 1.0L && scale == 0)
{
long double d2m1 = (absx - 1.0L) * (absx + 1.0L);
if (absy >= LDBL_EPSILON)
d2m1 += absy * absy;
__real__ result = __log1pl (d2m1) * (M_LOG10El / 2.0L);
}
else if (absx < 1.0L
&& absx >= 0.75L
&& absy < LDBL_EPSILON / 2.0L
&& scale == 0)
{
long double d2m1 = (absx - 1.0L) * (absx + 1.0L);
__real__ result = __log1pl (d2m1) * (M_LOG10El / 2.0L);
}
else if (absx < 1.0L && (absx >= 0.75L || absy >= 0.5L) && scale == 0)
{
long double d2m1 = __x2y2m1l (absx, absy);
__real__ result = __log1pl (d2m1) * (M_LOG10El / 2.0L);
}
else
{
long double d = __ieee754_hypotl (absx, absy);
__real__ result = __ieee754_log10l (d) - scale * M_LOG10_2l;
}
__imag__ result = M_LOG10El * __ieee754_atan2l (__imag__ x, __real__ x);
}
else
{
__imag__ result = __nanl ("");
if (rcls == FP_INFINITE || icls == FP_INFINITE)
/* Real or imaginary part is infinite. */
__real__ result = HUGE_VALL;
else
__real__ result = __nanl ("");
}
return result;
}
__complex__ long double
__catanl (__complex__ long double x)
{
__complex__ long double res;
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
if (__builtin_expect (rcls <= FP_INFINITE || icls <= FP_INFINITE, 0))
{
if (rcls == FP_INFINITE)
{
__real__ res = __copysignl (M_PI_2l, __real__ x);
__imag__ res = __copysignl (0.0, __imag__ x);
}
else if (icls == FP_INFINITE)
{
if (rcls >= FP_ZERO)
__real__ res = __copysignl (M_PI_2l, __real__ x);
else
__real__ res = __nanl ("");
__imag__ res = __copysignl (0.0, __imag__ x);
}
else if (icls == FP_ZERO || icls == FP_INFINITE)
{
__real__ res = __nanl ("");
__imag__ res = __copysignl (0.0, __imag__ x);
}
else
{
__real__ res = __nanl ("");
__imag__ res = __nanl ("");
}
}
else if (__builtin_expect (rcls == FP_ZERO && icls == FP_ZERO, 0))
{
res = x;
}
else
{
if (fabsl (__real__ x) >= 16.0L / LDBL_EPSILON
|| fabsl (__imag__ x) >= 16.0L / LDBL_EPSILON)
{
__real__ res = __copysignl (M_PI_2l, __real__ x);
if (fabsl (__real__ x) <= 1.0L)
__imag__ res = 1.0L / __imag__ x;
else if (fabsl (__imag__ x) <= 1.0L)
__imag__ res = __imag__ x / __real__ x / __real__ x;
else
{
long double h = __ieee754_hypotl (__real__ x / 2.0L,
__imag__ x / 2.0L);
__imag__ res = __imag__ x / h / h / 4.0L;
}
}
else
{
long double den, absx, absy;
absx = fabsl (__real__ x);
absy = fabsl (__imag__ x);
if (absx < absy)
{
long double t = absx;
absx = absy;
absy = t;
}
if (absy < LDBL_EPSILON / 2.0L)
den = (1.0L - absx) * (1.0L + absx);
else if (absx >= 1.0L)
den = (1.0L - absx) * (1.0L + absx) - absy * absy;
else if (absx >= 0.75L || absy >= 0.5L)
den = -__x2y2m1l (absx, absy);
else
den = (1.0L - absx) * (1.0L + absx) - absy * absy;
__real__ res = 0.5L * __ieee754_atan2l (2.0L * __real__ x, den);
if (fabsl (__imag__ x) == 1.0L
&& fabsl (__real__ x) < LDBL_EPSILON * LDBL_EPSILON)
__imag__ res = (__copysignl (0.5L, __imag__ x)
* (M_LN2l - __ieee754_logl (fabsl (__real__ x))));
else
{
long double r2 = 0.0L, num, f;
if (fabsl (__real__ x) >= LDBL_EPSILON * LDBL_EPSILON)
r2 = __real__ x * __real__ x;
num = __imag__ x + 1.0L;
num = r2 + num * num;
den = __imag__ x - 1.0L;
den = r2 + den * den;
f = num / den;
if (f < 0.5L)
__imag__ res = 0.25L * __ieee754_logl (f);
else
{
num = 4.0L * __imag__ x;
__imag__ res = 0.25L * __log1pl (num / den);
}
}
}
if (fabsl (__real__ res) < LDBL_MIN)
{
volatile long double force_underflow = __real__ res * __real__ res;
(void) force_underflow;
}
if (fabsl (__imag__ res) < LDBL_MIN)
{
volatile long double force_underflow = __imag__ res * __imag__ res;
(void) force_underflow;
}
}
return res;
}
double
__x2y2m1 (double x, double y)
{
return (double) __x2y2m1l (x, y);
}
