/* Complex sine hyperbole function for float.
- Copyright (C) 1997 Free Software Foundation, Inc.
+ Copyright (C) 1997-2016 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
- License along with the GNU C Library; if not, write to the Free
- Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
- 02111-1307 USA. */
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
#include <complex.h>
#include <fenv.h>
#include <math.h>
-
-#include "math_private.h"
-
+#include <math_private.h>
+#include <float.h>
__complex__ float
__csinhf (__complex__ float x)
__real__ x = fabsf (__real__ x);
- if (rcls >= FP_ZERO)
+ if (__glibc_likely (rcls >= FP_ZERO))
{
/* Real part is finite. */
- if (icls >= FP_ZERO)
+ if (__glibc_likely (icls >= FP_ZERO))
{
/* Imaginary part is finite. */
- float sinh_val = __ieee754_sinhf (__real__ x);
- float cosh_val = __ieee754_coshf (__real__ x);
+ const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2);
float sinix, cosix;
- __sincosf (__imag__ x, &sinix, &cosix);
-
- __real__ retval = sinh_val * cosix;
- __imag__ retval = cosh_val * sinix;
+ if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
+ {
+ __sincosf (__imag__ x, &sinix, &cosix);
+ }
+ else
+ {
+ sinix = __imag__ x;
+ cosix = 1.0f;
+ }
if (negate)
- __real__ retval = -__real__ retval;
+ cosix = -cosix;
+
+ if (fabsf (__real__ x) > t)
+ {
+ float exp_t = __ieee754_expf (t);
+ float rx = fabsf (__real__ x);
+ if (signbit (__real__ x))
+ cosix = -cosix;
+ rx -= t;
+ sinix *= exp_t / 2.0f;
+ cosix *= exp_t / 2.0f;
+ if (rx > t)
+ {
+ rx -= t;
+ sinix *= exp_t;
+ cosix *= exp_t;
+ }
+ if (rx > t)
+ {
+ /* Overflow (original real part of x > 3t). */
+ __real__ retval = FLT_MAX * cosix;
+ __imag__ retval = FLT_MAX * sinix;
+ }
+ else
+ {
+ float exp_val = __ieee754_expf (rx);
+ __real__ retval = exp_val * cosix;
+ __imag__ retval = exp_val * sinix;
+ }
+ }
+ else
+ {
+ __real__ retval = __ieee754_sinhf (__real__ x) * cosix;
+ __imag__ retval = __ieee754_coshf (__real__ x) * sinix;
+ }
+
+ math_check_force_underflow_complex (retval);
}
else
{
__real__ retval = __copysignf (0.0, negate ? -1.0 : 1.0);
__imag__ retval = __nanf ("") + __nanf ("");
-#ifdef FE_INVALID
if (icls == FP_INFINITE)
feraiseexcept (FE_INVALID);
-#endif
}
else
{
__real__ retval = __nanf ("");
__imag__ retval = __nanf ("");
-#ifdef FE_INVALID
feraiseexcept (FE_INVALID);
-#endif
}
}
}
- else if (rcls == FP_INFINITE)
+ else if (__glibc_likely (rcls == FP_INFINITE))
{
/* Real part is infinite. */
- if (icls == FP_ZERO)
- {
- /* Imaginary part is 0.0. */
- __real__ retval = negate ? -HUGE_VALF : HUGE_VALF;
- __imag__ retval = __imag__ x;
- }
- else if (icls > FP_ZERO)
+ if (__glibc_likely (icls > FP_ZERO))
{
/* Imaginary part is finite. */
float sinix, cosix;
- __sincosf (__imag__ x, &sinix, &cosix);
+ if (__glibc_likely (fabsf (__imag__ x) > FLT_MIN))
+ {
+ __sincosf (__imag__ x, &sinix, &cosix);
+ }
+ else
+ {
+ sinix = __imag__ x;
+ cosix = 1.0f;
+ }
__real__ retval = __copysignf (HUGE_VALF, cosix);
__imag__ retval = __copysignf (HUGE_VALF, sinix);
if (negate)
__real__ retval = -__real__ retval;
}
+ else if (icls == FP_ZERO)
+ {
+ /* Imaginary part is 0.0. */
+ __real__ retval = negate ? -HUGE_VALF : HUGE_VALF;
+ __imag__ retval = __imag__ x;
+ }
else
{
/* The addition raises the invalid exception. */