long double
__ieee754_atanhl(long double x)
{
long double t;
u_int32_t jx, ix;
ieee854_long_double_shape_type u;
u.value = x;
jx = u.parts32.w0;
ix = jx & 0x7fffffff;
u.parts32.w0 = ix;
if (ix >= 0x3fff0000) /* |x| >= 1.0 or infinity or NaN */
{
if (u.value == one)
return x/zero;
else
return (x-x)/(x-x);
}
if(ix<0x3fc60000 && (huge+x)>zero) /* x < 2^-57 */
{
if (fabsl (x) < LDBL_MIN)
{
long double force_underflow = x * x;
math_force_eval (force_underflow);
}
return x;
}
if(ix<0x3ffe0000) { /* x < 0.5 */
t = u.value+u.value;
t = 0.5*__log1pl(t+t*u.value/(one-u.value));
} else
t = 0.5*__log1pl((u.value+u.value)/(one-u.value));
if(jx & 0x80000000) return -t; else return t;
}
long double
__ieee754_atanhl(long double x)
{
long double t;
int64_t hx,ix;
u_int64_t lx __attribute__ ((unused));
GET_LDOUBLE_WORDS64(hx,lx,x);
ix = hx&0x7fffffffffffffffLL;
if (ix >= 0x3ff0000000000000LL) { /* |x|>=1 */
if (ix > 0x3ff0000000000000LL)
return (x-x)/(x-x);
t = fabsl (x);
if (t > one)
return (x-x)/(x-x);
if (t == one)
return x/zero;
}
if(ix<0x3e20000000000000LL&&(huge+x)>zero) return x; /* x<2**-29 */
x = fabsl (x);
if(ix<0x3fe0000000000000LL) { /* x < 0.5 */
t = x+x;
t = 0.5*__log1pl(t+t*x/(one-x));
} else
t = 0.5*__log1pl((x+x)/(one-x));
if(hx>=0) return t;
else return -t;
}
long double __asinhl(long double x)
{
long double t,w;
int64_t hx,ix;
double xhi;
xhi = ldbl_high (x);
EXTRACT_WORDS64 (hx, xhi);
ix = hx&0x7fffffffffffffffLL;
if(ix>=0x7ff0000000000000LL) return x+x; /* x is inf or NaN */
if(ix< 0x3c70000000000000LL) { /* |x|<2**-56 */
math_check_force_underflow (x);
if(huge+x>one) return x; /* return x inexact except 0 */
}
if(ix>0x4370000000000000LL) { /* |x| > 2**56 */
w = __ieee754_logl(fabsl(x))+ln2;
} else if (ix>0x4000000000000000LL) { /* 2**56 >= |x| > 2.0 */
t = fabs(x);
w = __ieee754_logl(2.0*t+one/(sqrtl(x*x+one)+t));
} else { /* 2.0 >= |x| >= 2**-56 */
t = x*x;
w =__log1pl(fabsl(x)+t/(one+sqrtl(one+t)));
}
if(hx>0) return w; else return -w;
}
long double
__ieee754_acoshl(long double x)
{
long double t;
int64_t hx;
uint64_t lx;
double xhi, xlo;
ldbl_unpack (x, &xhi, &xlo);
EXTRACT_WORDS64 (hx, xhi);
EXTRACT_WORDS64 (lx, xlo);
if(hx<0x3ff0000000000000LL) { /* x < 1 */
return (x-x)/(x-x);
} else if(hx >=0x41b0000000000000LL) { /* x > 2**28 */
if(hx >=0x7ff0000000000000LL) { /* x is inf of NaN */
return x+x;
} else
return __ieee754_logl(x)+ln2; /* acosh(huge)=log(2x) */
} else if (((hx-0x3ff0000000000000LL)|(lx&0x7fffffffffffffffLL))==0) {
return 0.0; /* acosh(1) = 0 */
} else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */
t=x*x;
return __ieee754_logl(2.0*x-one/(x+__ieee754_sqrtl(t-one)));
} else { /* 1<x<2 */
t = x-one;
return __log1pl(t+__ieee754_sqrtl(2.0*t+t*t));
}
}
long double
__w_log1pl (long double x)
{
if (__glibc_unlikely (islessequal (x, -1.0L)))
{
if (x == -1.0L)
__set_errno (ERANGE);
else
__set_errno (EDOM);
}
return __log1pl (x);
}
long double __asinhl(long double x)
{
long double t,w;
int64_t hx,ix;
GET_LDOUBLE_MSW64(hx,x);
ix = hx&0x7fffffffffffffffLL;
if(ix>=0x7ff0000000000000LL) return x+x; /* x is inf or NaN */
if(ix< 0x3e20000000000000LL) { /* |x|<2**-29 */
if(huge+x>one) return x; /* return x inexact except 0 */
}
if(ix>0x41b0000000000000LL) { /* |x| > 2**28 */
w = __ieee754_logl(fabs(x))+ln2;
} else if (ix>0x4000000000000000LL) { /* 2**28 > |x| > 2.0 */
t = fabs(x);
w = __ieee754_logl(2.0*t+one/(__ieee754_sqrtl(x*x+one)+t));
} else { /* 2.0 > |x| > 2**-29 */
t = x*x;
w =__log1pl(fabsl(x)+t/(one+__ieee754_sqrtl(one+t)));
}
if(hx>0) return w; else return -w;
}
long double
__ieee754_acoshl(long double x)
{
long double t;
u_int64_t lx;
int64_t hx;
GET_LDOUBLE_WORDS64(hx,lx,x);
if(hx<0x3fff000000000000LL) { /* x < 1 */
return (x-x)/(x-x);
} else if(hx >=0x4035000000000000LL) { /* x > 2**54 */
if(hx >=0x7fff000000000000LL) { /* x is inf of NaN */
return x+x;
} else
return __ieee754_logl(x)+ln2; /* acoshl(huge)=logl(2x) */
} else if(((hx-0x3fff000000000000LL)|lx)==0) {
return 0.0L; /* acosh(1) = 0 */
} else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */
t=x*x;
return __ieee754_logl(2.0L*x-one/(x+__ieee754_sqrtl(t-one)));
} else { /* 1<x<2 */
t = x-one;
return __log1pl(t+__sqrtl(2.0L*t+t*t));
}
}
long double
__lgamma_negl (long double x, int *signgamp)
{
/* Determine the half-integer region X lies in, handle exact
integers and determine the sign of the result. */
int i = floorl (-2 * x);
if ((i & 1) == 0 && i == -2 * x)
return 1.0L / 0.0L;
long double xn = ((i & 1) == 0 ? -i / 2 : (-i - 1) / 2);
i -= 4;
*signgamp = ((i & 2) == 0 ? -1 : 1);
SET_RESTORE_ROUNDL (FE_TONEAREST);
/* Expand around the zero X0 = X0_HI + X0_LO. */
long double x0_hi = lgamma_zeros[i][0], x0_lo = lgamma_zeros[i][1];
long double xdiff = x - x0_hi - x0_lo;
/* For arguments in the range -3 to -2, use polynomial
approximations to an adjusted version of the gamma function. */
if (i < 2)
{
int j = floorl (-8 * x) - 16;
long double xm = (-33 - 2 * j) * 0.0625L;
long double x_adj = x - xm;
size_t deg = poly_deg[j];
size_t end = poly_end[j];
long double g = poly_coeff[end];
for (size_t j = 1; j <= deg; j++)
g = g * x_adj + poly_coeff[end - j];
return __log1pl (g * xdiff / (x - xn));
}
/* The result we want is log (sinpi (X0) / sinpi (X))
+ log (gamma (1 - X0) / gamma (1 - X)). */
long double x_idiff = fabsl (xn - x), x0_idiff = fabsl (xn - x0_hi - x0_lo);
long double log_sinpi_ratio;
if (x0_idiff < x_idiff * 0.5L)
/* Use log not log1p to avoid inaccuracy from log1p of arguments
close to -1. */
log_sinpi_ratio = __ieee754_logl (lg_sinpi (x0_idiff)
/ lg_sinpi (x_idiff));
else
{
/* Use log1p not log to avoid inaccuracy from log of arguments
close to 1. X0DIFF2 has positive sign if X0 is further from
XN than X is from XN, negative sign otherwise. */
long double x0diff2 = ((i & 1) == 0 ? xdiff : -xdiff) * 0.5L;
long double sx0d2 = lg_sinpi (x0diff2);
long double cx0d2 = lg_cospi (x0diff2);
log_sinpi_ratio = __log1pl (2 * sx0d2
* (-sx0d2 + cx0d2 * lg_cotpi (x_idiff)));
}
long double log_gamma_ratio;
long double y0 = 1 - x0_hi;
long double y0_eps = -x0_hi + (1 - y0) - x0_lo;
long double y = 1 - x;
long double y_eps = -x + (1 - y);
/* We now wish to compute LOG_GAMMA_RATIO
= log (gamma (Y0 + Y0_EPS) / gamma (Y + Y_EPS)). XDIFF
accurately approximates the difference Y0 + Y0_EPS - Y -
Y_EPS. Use Stirling's approximation. First, we may need to
adjust into the range where Stirling's approximation is
sufficiently accurate. */
long double log_gamma_adj = 0;
if (i < 18)
{
int n_up = (19 - i) / 2;
long double ny0, ny0_eps, ny, ny_eps;
ny0 = y0 + n_up;
ny0_eps = y0 - (ny0 - n_up) + y0_eps;
y0 = ny0;
y0_eps = ny0_eps;
ny = y + n_up;
ny_eps = y - (ny - n_up) + y_eps;
y = ny;
y_eps = ny_eps;
long double prodm1 = __lgamma_productl (xdiff, y - n_up, y_eps, n_up);
log_gamma_adj = -__log1pl (prodm1);
}
long double log_gamma_high
= (xdiff * __log1pl ((y0 - e_hi - e_lo + y0_eps) / e_hi)
+ (y - 0.5L + y_eps) * __log1pl (xdiff / y) + log_gamma_adj);
/* Compute the sum of (B_2k / 2k(2k-1))(Y0^-(2k-1) - Y^-(2k-1)). */
long double y0r = 1 / y0, yr = 1 / y;
long double y0r2 = y0r * y0r, yr2 = yr * yr;
long double rdiff = -xdiff / (y * y0);
long double bterm[NCOEFF];
long double dlast = rdiff, elast = rdiff * yr * (yr + y0r);
bterm[0] = dlast * lgamma_coeff[0];
for (size_t j = 1; j < NCOEFF; j++)
{
long double dnext = dlast * y0r2 + elast;
long double enext = elast * yr2;
bterm[j] = dnext * lgamma_coeff[j];
dlast = dnext;
elast = enext;
}
long double log_gamma_low = 0;
for (size_t j = 0; j < NCOEFF; j++)
log_gamma_low += bterm[NCOEFF - 1 - j];
log_gamma_ratio = log_gamma_high + log_gamma_low;
return log_sinpi_ratio + log_gamma_ratio;
}
__complex__ long double
__kernel_casinhl (__complex__ long double x, int adj)
{
__complex__ long double res;
long double rx, ix;
__complex__ long double y;
/* Avoid cancellation by reducing to the first quadrant. */
rx = fabsl (__real__ x);
ix = fabsl (__imag__ x);
if (rx >= 1.0L / LDBL_EPSILON || ix >= 1.0L / LDBL_EPSILON)
{
/* For large x in the first quadrant, x + csqrt (1 + x * x)
is sufficiently close to 2 * x to make no significant
difference to the result; avoid possible overflow from
the squaring and addition. */
__real__ y = rx;
__imag__ y = ix;
if (adj)
{
long double t = __real__ y;
__real__ y = __copysignl (__imag__ y, __imag__ x);
__imag__ y = t;
}
res = __clogl (y);
__real__ res += M_LN2l;
}
else if (rx >= 0.5L && ix < LDBL_EPSILON / 8.0L)
{
long double s = __ieee754_hypotl (1.0L, rx);
__real__ res = __ieee754_logl (rx + s);
if (adj)
__imag__ res = __ieee754_atan2l (s, __imag__ x);
else
__imag__ res = __ieee754_atan2l (ix, s);
}
else if (rx < LDBL_EPSILON / 8.0L && ix >= 1.5L)
{
long double s = __ieee754_sqrtl ((ix + 1.0L) * (ix - 1.0L));
__real__ res = __ieee754_logl (ix + s);
if (adj)
__imag__ res = __ieee754_atan2l (rx, __copysignl (s, __imag__ x));
else
__imag__ res = __ieee754_atan2l (s, rx);
}
else if (ix > 1.0L && ix < 1.5L && rx < 0.5L)
{
if (rx < LDBL_EPSILON * LDBL_EPSILON)
{
long double ix2m1 = (ix + 1.0L) * (ix - 1.0L);
long double s = __ieee754_sqrtl (ix2m1);
__real__ res = __log1pl (2.0L * (ix2m1 + ix * s)) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (rx, __copysignl (s, __imag__ x));
else
__imag__ res = __ieee754_atan2l (s, rx);
}
else
{
long double ix2m1 = (ix + 1.0L) * (ix - 1.0L);
long double rx2 = rx * rx;
long double f = rx2 * (2.0L + rx2 + 2.0L * ix * ix);
long double d = __ieee754_sqrtl (ix2m1 * ix2m1 + f);
long double dp = d + ix2m1;
long double dm = f / dp;
long double r1 = __ieee754_sqrtl ((dm + rx2) / 2.0L);
long double r2 = rx * ix / r1;
__real__ res
= __log1pl (rx2 + dp + 2.0L * (rx * r1 + ix * r2)) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (rx + r1, __copysignl (ix + r2,
__imag__ x));
else
__imag__ res = __ieee754_atan2l (ix + r2, rx + r1);
}
}
else if (ix == 1.0L && rx < 0.5L)
{
if (rx < LDBL_EPSILON / 8.0L)
{
__real__ res = __log1pl (2.0L * (rx + __ieee754_sqrtl (rx))) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (__ieee754_sqrtl (rx),
__copysignl (1.0L, __imag__ x));
else
__imag__ res = __ieee754_atan2l (1.0L, __ieee754_sqrtl (rx));
}
else
{
long double d = rx * __ieee754_sqrtl (4.0L + rx * rx);
long double s1 = __ieee754_sqrtl ((d + rx * rx) / 2.0L);
long double s2 = __ieee754_sqrtl ((d - rx * rx) / 2.0L);
__real__ res = __log1pl (rx * rx + d + 2.0L * (rx * s1 + s2)) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (rx + s1,
__copysignl (1.0L + s2,
__imag__ x));
else
__imag__ res = __ieee754_atan2l (1.0L + s2, rx + s1);
}
}
else if (ix < 1.0L && rx < 0.5L)
{
if (ix >= LDBL_EPSILON)
{
if (rx < LDBL_EPSILON * LDBL_EPSILON)
{
long double onemix2 = (1.0L + ix) * (1.0L - ix);
long double s = __ieee754_sqrtl (onemix2);
__real__ res = __log1pl (2.0L * rx / s) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (s, __imag__ x);
else
__imag__ res = __ieee754_atan2l (ix, s);
}
else
{
long double onemix2 = (1.0L + ix) * (1.0L - ix);
long double rx2 = rx * rx;
long double f = rx2 * (2.0L + rx2 + 2.0L * ix * ix);
long double d = __ieee754_sqrtl (onemix2 * onemix2 + f);
long double dp = d + onemix2;
long double dm = f / dp;
long double r1 = __ieee754_sqrtl ((dp + rx2) / 2.0L);
long double r2 = rx * ix / r1;
__real__ res
= __log1pl (rx2 + dm + 2.0L * (rx * r1 + ix * r2)) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (rx + r1,
__copysignl (ix + r2,
__imag__ x));
else
__imag__ res = __ieee754_atan2l (ix + r2, rx + r1);
}
}
else
{
long double s = __ieee754_hypotl (1.0L, rx);
__real__ res = __log1pl (2.0L * rx * (rx + s)) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (s, __imag__ x);
else
__imag__ res = __ieee754_atan2l (ix, s);
}
if (__real__ res < LDBL_MIN)
{
volatile long double force_underflow = __real__ res * __real__ res;
(void) force_underflow;
}
}
else
{
__real__ y = (rx - ix) * (rx + ix) + 1.0L;
__imag__ y = 2.0L * rx * ix;
y = __csqrtl (y);
__real__ y += rx;
__imag__ y += ix;
if (adj)
{
long double t = __real__ y;
__real__ y = __copysignl (__imag__ y, __imag__ x);
__imag__ y = t;
}
res = __clogl (y);
}
/* Give results the correct sign for the original argument. */
__real__ res = __copysignl (__real__ res, __real__ x);
__imag__ res = __copysignl (__imag__ res, (adj ? 1.0L : __imag__ x));
return res;
}
__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
__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;
}
__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;
}
