*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
+ * software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
#endif
/* __ieee754_sinh(x)
- * Method :
+ * Method :
* mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
- * 1. Replace x by |x| (sinh(-x) = -sinh(x)).
- * 2.
- * E + E/(E+1)
+ * 1. Replace x by |x| (sinh(-x) = -sinh(x)).
+ * 2.
+ * E + E/(E+1)
* 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x)
- * 2
+ * 2
*
- * 22 <= x <= lnovft : sinh(x) := exp(x)/2
+ * 22 <= x <= lnovft : sinh(x) := exp(x)/2
* lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
* ln2ovft < x : sinh(x) := x*shuge (overflow)
*
* only sinh(0)=0 is exact for finite x.
*/
-#include "math.h"
-#include "math_private.h"
+#include <math.h>
+#include <math_private.h>
-#ifdef __STDC__
static const double one = 1.0, shuge = 1.0e307;
-#else
-static double one = 1.0, shuge = 1.0e307;
-#endif
-#ifdef __STDC__
- double __ieee754_sinh(double x)
-#else
- double __ieee754_sinh(x)
- double x;
-#endif
-{
- double t,w,h;
- int32_t ix,jx;
- u_int32_t lx;
+double
+__ieee754_sinh (double x)
+{
+ double t, w, h;
+ int32_t ix, jx;
+ u_int32_t lx;
- /* High word of |x|. */
- GET_HIGH_WORD(jx,x);
- ix = jx&0x7fffffff;
+ /* High word of |x|. */
+ GET_HIGH_WORD (jx, x);
+ ix = jx & 0x7fffffff;
- /* x is INF or NaN */
- if(ix>=0x7ff00000) return x+x;
+ /* x is INF or NaN */
+ if (__glibc_unlikely (ix >= 0x7ff00000))
+ return x + x;
- h = 0.5;
- if (jx<0) h = -h;
- /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
- if (ix < 0x40360000) { /* |x|<22 */
- if (ix<0x3e300000) /* |x|<2**-28 */
- if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
- t = __expm1(fabs(x));
- if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
- return h*(t+t/(t+one));
- }
+ h = 0.5;
+ if (jx < 0)
+ h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x40360000) /* |x|<22 */
+ {
+ if (__glibc_unlikely (ix < 0x3e300000)) /* |x|<2**-28 */
+ if (shuge + x > one)
+ return x;
+ /* sinh(tiny) = tiny with inexact */
+ t = __expm1 (fabs (x));
+ if (ix < 0x3ff00000)
+ return h * (2.0 * t - t * t / (t + one));
+ return h * (t + t / (t + one));
+ }
- /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
- if (ix < 0x40862e42) return h*__ieee754_exp(fabs(x));
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x40862e42)
+ return h * __ieee754_exp (fabs (x));
- /* |x| in [log(maxdouble), overflowthresold] */
- GET_LOW_WORD(lx,x);
- if (ix<0x408633ce || ((ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d))) {
- w = __ieee754_exp(0.5*fabs(x));
- t = h*w;
- return t*w;
- }
+ /* |x| in [log(maxdouble), overflowthresold] */
+ GET_LOW_WORD (lx, x);
+ if (ix < 0x408633ce || ((ix == 0x408633ce) && (lx <= (u_int32_t) 0x8fb9f87d)))
+ {
+ w = __ieee754_exp (0.5 * fabs (x));
+ t = h * w;
+ return t * w;
+ }
- /* |x| > overflowthresold, sinh(x) overflow */
- return x*shuge;
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x * shuge;
}
+strong_alias (__ieee754_sinh, __sinh_finite)