__complex__ float __clogf (__complex__ float x) { __complex__ float 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_PI : 0.0; __imag__ result = __copysignf (__imag__ result, __imag__ x); /* Yes, the following line raises an exception. */ __real__ result = -1.0 / fabsf (__real__ x); } else if (__builtin_expect (rcls != FP_NAN && icls != FP_NAN, 1)) { /* Neither real nor imaginary part is NaN. */ float absx = fabsf (__real__ x), absy = fabsf (__imag__ x); int scale = 0; if (absx < absy) { float t = absx; absx = absy; absy = t; } if (absx > FLT_MAX / 2.0f) { scale = -1; absx = __scalbnf (absx, scale); absy = (absy >= FLT_MIN * 2.0f ? __scalbnf (absy, scale) : 0.0f); } else if (absx < FLT_MIN && absy < FLT_MIN) { scale = FLT_MANT_DIG; absx = __scalbnf (absx, scale); absy = __scalbnf (absy, scale); } if (absx == 1.0f && scale == 0) { float absy2 = absy * absy; if (absy2 <= FLT_MIN * 2.0f) { #if __FLT_EVAL_METHOD__ == 0 __real__ result = absy2 / 2.0f - absy2 * absy2 / 4.0f; #else volatile float force_underflow = absy2 * absy2 / 4.0f; __real__ result = absy2 / 2.0f - force_underflow; #endif } else __real__ result = __log1pf (absy2) / 2.0f; } else if (absx > 1.0f && absx < 2.0f && absy < 1.0f && scale == 0) { float d2m1 = (absx - 1.0f) * (absx + 1.0f); if (absy >= FLT_EPSILON) d2m1 += absy * absy; __real__ result = __log1pf (d2m1) / 2.0f; } else if (absx < 1.0f && absx >= 0.75f && absy < FLT_EPSILON / 2.0f && scale == 0) { float d2m1 = (absx - 1.0f) * (absx + 1.0f); __real__ result = __log1pf (d2m1) / 2.0f; } else if (absx < 1.0f && (absx >= 0.75f || absy >= 0.5f) && scale == 0) { float d2m1 = __x2y2m1f (absx, absy); __real__ result = __log1pf (d2m1) / 2.0f; } else { float d = __ieee754_hypotf (absx, absy); __real__ result = __ieee754_logf (d) - scale * (float) M_LN2; } __imag__ result = __ieee754_atan2f (__imag__ x, __real__ x); } else { __imag__ result = __nanf (""); if (rcls == FP_INFINITE || icls == FP_INFINITE) /* Real or imaginary part is infinite. */ __real__ result = HUGE_VALF; else __real__ result = __nanf (""); } return result; }
__complex__ float __clog10f (__complex__ float x) { __complex__ float 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_PI_LOG10Ef : 0.0; __imag__ result = __copysignf (__imag__ result, __imag__ x); /* Yes, the following line raises an exception. */ __real__ result = -1.0 / fabsf (__real__ x); } else if (__glibc_likely (rcls != FP_NAN && icls != FP_NAN)) { /* Neither real nor imaginary part is NaN. */ float absx = fabsf (__real__ x), absy = fabsf (__imag__ x); int scale = 0; if (absx < absy) { float t = absx; absx = absy; absy = t; } if (absx > FLT_MAX / 2.0f) { scale = -1; absx = __scalbnf (absx, scale); absy = (absy >= FLT_MIN * 2.0f ? __scalbnf (absy, scale) : 0.0f); } else if (absx < FLT_MIN && absy < FLT_MIN) { scale = FLT_MANT_DIG; absx = __scalbnf (absx, scale); absy = __scalbnf (absy, scale); } if (absx == 1.0f && scale == 0) { float absy2 = absy * absy; if (absy2 <= FLT_MIN * 2.0f * (float) M_LN10) { float force_underflow = absy2 * absy2; __real__ result = absy2 * ((float) M_LOG10E / 2.0f); math_force_eval (force_underflow); } else __real__ result = __log1pf (absy2) * ((float) M_LOG10E / 2.0f); } else if (absx > 1.0f && absx < 2.0f && absy < 1.0f && scale == 0) { float d2m1 = (absx - 1.0f) * (absx + 1.0f); if (absy >= FLT_EPSILON) d2m1 += absy * absy; __real__ result = __log1pf (d2m1) * ((float) M_LOG10E / 2.0f); } else if (absx < 1.0f && absx >= 0.75f && absy < FLT_EPSILON / 2.0f && scale == 0) { float d2m1 = (absx - 1.0f) * (absx + 1.0f); __real__ result = __log1pf (d2m1) * ((float) M_LOG10E / 2.0f); } else if (absx < 1.0f && (absx >= 0.75f || absy >= 0.5f) && scale == 0) { float d2m1 = __x2y2m1f (absx, absy); __real__ result = __log1pf (d2m1) * ((float) M_LOG10E / 2.0f); } else { float d = __ieee754_hypotf (absx, absy); __real__ result = __ieee754_log10f (d) - scale * M_LOG10_2f; } __imag__ result = M_LOG10E * __ieee754_atan2f (__imag__ x, __real__ x); } else { __imag__ result = __nanf (""); if (rcls == FP_INFINITE || icls == FP_INFINITE) /* Real or imaginary part is infinite. */ __real__ result = HUGE_VALF; else __real__ result = __nanf (""); } return result; }
__complex__ float __catanf (__complex__ float x) { __complex__ float res; int rcls = fpclassify (__real__ x); int icls = fpclassify (__imag__ x); if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE)) { if (rcls == FP_INFINITE) { __real__ res = __copysignf (M_PI_2, __real__ x); __imag__ res = __copysignf (0.0, __imag__ x); } else if (icls == FP_INFINITE) { if (rcls >= FP_ZERO) __real__ res = __copysignf (M_PI_2, __real__ x); else __real__ res = __nanf (""); __imag__ res = __copysignf (0.0, __imag__ x); } else if (icls == FP_ZERO || icls == FP_INFINITE) { __real__ res = __nanf (""); __imag__ res = __copysignf (0.0, __imag__ x); } else { __real__ res = __nanf (""); __imag__ res = __nanf (""); } } else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO)) { res = x; } else { if (fabsf (__real__ x) >= 16.0f / FLT_EPSILON || fabsf (__imag__ x) >= 16.0f / FLT_EPSILON) { __real__ res = __copysignf ((float) M_PI_2, __real__ x); if (fabsf (__real__ x) <= 1.0f) __imag__ res = 1.0f / __imag__ x; else if (fabsf (__imag__ x) <= 1.0f) __imag__ res = __imag__ x / __real__ x / __real__ x; else { float h = __ieee754_hypotf (__real__ x / 2.0f, __imag__ x / 2.0f); __imag__ res = __imag__ x / h / h / 4.0f; } } else { float den, absx, absy; absx = fabsf (__real__ x); absy = fabsf (__imag__ x); if (absx < absy) { float t = absx; absx = absy; absy = t; } if (absy < FLT_EPSILON / 2.0f) { den = (1.0f - absx) * (1.0f + absx); if (den == -0.0f) den = 0.0f; } else if (absx >= 1.0f) den = (1.0f - absx) * (1.0f + absx) - absy * absy; else if (absx >= 0.75f || absy >= 0.5f) den = -__x2y2m1f (absx, absy); else den = (1.0f - absx) * (1.0f + absx) - absy * absy; __real__ res = 0.5f * __ieee754_atan2f (2.0f * __real__ x, den); if (fabsf (__imag__ x) == 1.0f && fabsf (__real__ x) < FLT_EPSILON * FLT_EPSILON) __imag__ res = (__copysignf (0.5f, __imag__ x) * ((float) M_LN2 - __ieee754_logf (fabsf (__real__ x)))); else { float r2 = 0.0f, num, f; if (fabsf (__real__ x) >= FLT_EPSILON * FLT_EPSILON) r2 = __real__ x * __real__ x; num = __imag__ x + 1.0f; num = r2 + num * num; den = __imag__ x - 1.0f; den = r2 + den * den; f = num / den; if (f < 0.5f) __imag__ res = 0.25f * __ieee754_logf (f); else { num = 4.0f * __imag__ x; __imag__ res = 0.25f * __log1pf (num / den); } } } if (fabsf (__real__ res) < FLT_MIN) { volatile float force_underflow = __real__ res * __real__ res; (void) force_underflow; } if (fabsf (__imag__ res) < FLT_MIN) { volatile float force_underflow = __imag__ res * __imag__ res; (void) force_underflow; } } return res; }