diff options
Diffstat (limited to 'math/s_catanhf.c')
| -rw-r--r-- | math/s_catanhf.c | 48 |
1 files changed, 33 insertions, 15 deletions
diff --git a/math/s_catanhf.c b/math/s_catanhf.c index 6376a2ccb7..3e87942369 100644 --- a/math/s_catanhf.c +++ b/math/s_catanhf.c @@ -56,26 +56,44 @@ __catanhf (__complex__ float x) } else { - float i2 = __imag__ x * __imag__ x; + if (fabsf (__real__ x) >= 16.0f / FLT_EPSILON + || fabsf (__imag__ x) >= 16.0f / FLT_EPSILON) + { + __imag__ res = __copysignf ((float) M_PI_2, __imag__ x); + if (fabsf (__imag__ x) <= 1.0f) + __real__ res = 1.0f / __real__ x; + else if (fabsf (__real__ x) <= 1.0f) + __real__ res = __real__ x / __imag__ x / __imag__ x; + else + { + float h = __ieee754_hypotf (__real__ x / 2.0f, + __imag__ x / 2.0f); + __real__ res = __real__ x / h / h / 4.0f; + } + } + else + { + float 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); + } - den = 1 - __real__ x * __real__ x - i2; + den = 1 - __real__ x * __real__ x - i2; - __imag__ res = 0.5f * __ieee754_atan2f (2.0f * __imag__ x, den); + __imag__ res = 0.5f * __ieee754_atan2f (2.0f * __imag__ x, den); + } if (fabsf (__real__ res) < FLT_MIN) { |