__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); }