diff options
Diffstat (limited to 'math/s_catanhf.c')
-rw-r--r-- | math/s_catanhf.c | 42 |
1 files changed, 26 insertions, 16 deletions
diff --git a/math/s_catanhf.c b/math/s_catanhf.c index 249deb5669..0a08b95b58 100644 --- a/math/s_catanhf.c +++ b/math/s_catanhf.c @@ -73,24 +73,34 @@ __catanhf (__complex__ float x) } else { - float i2 = __imag__ x * __imag__ x; + if (fabsf (__real__ x) == 1.0f + && fabsf (__imag__ x) < FLT_EPSILON * FLT_EPSILON) + __real__ res = (__copysignf (0.5f, __real__ x) + * ((float) M_LN2 + - __ieee754_logf (fabsf (__imag__ x)))); + else + { + float i2 = 0.0f; + if (fabsf (__imag__ x) >= FLT_EPSILON * FLT_EPSILON) + i2 = __imag__ x * __imag__ x; - float num = 1.0f + __real__ x; - num = i2 + num * num; + float num = 1.0f + __real__ x; + num = i2 + num * num; - float den = 1.0f - __real__ x; - den = i2 + den * den; + float den = 1.0f - __real__ x; + den = i2 + den * den; - float f = num / den; - if (f < 0.5f) - __real__ res = 0.25f * __ieee754_logf (f); - else - { - num = 4.0f * __real__ x; - __real__ res = 0.25f * __log1pf (num / den); + float f = num / den; + if (f < 0.5f) + __real__ res = 0.25f * __ieee754_logf (f); + else + { + num = 4.0f * __real__ x; + __real__ res = 0.25f * __log1pf (num / den); + } } - float absx, absy; + float absx, absy, den; absx = fabsf (__real__ x); absy = fabsf (__imag__ x); @@ -101,10 +111,10 @@ __catanhf (__complex__ float x) absy = t; } - if (absx >= 1.0f) - den = (1.0f - absx) * (1.0f + absx) - absy * absy; - else if (absx >= 0.75f && absy < FLT_EPSILON / 2.0f) + if (absy < FLT_EPSILON / 2.0f) den = (1.0f - absx) * (1.0f + absx); + 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 |