float
__ieee754_sinhf(float x)
{
float t,h;
int32_t ix,jx;
GET_FLOAT_WORD(jx,x);
ix = jx&0x7fffffff;
/* x is INF or NaN */
if(ix>=0x7f800000) return x+x;
h = 0.5;
if (jx<0) h = -h;
/* |x| in [0,9], return sign(x)*0.5*(E+E/(E+1))) */
if (ix < 0x41100000) { /* |x|<9 */
if (ix<0x39800000) /* |x|<2**-12 */
if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
t = expm1f(fabsf(x));
if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
return h*(t+t/(t+one));
}
/* |x| in [9, logf(maxfloat)] return 0.5*exp(|x|) */
if (ix < 0x42b17217) return h*__ieee754_expf(fabsf(x));
/* |x| in [logf(maxfloat), overflowthresold] */
if (ix<=0x42b2d4fc)
return h*2.0F*__ldexp_expf(fabsf(x), -1);
/* |x| > overflowthresold, sinh(x) overflow */
return x*shuge;
}
DLLEXPORT float
__ieee754_coshf(float x)
{
float t,w;
int32_t ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
/* x is INF or NaN */
if(ix>=0x7f800000) return x*x;
/* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
if(ix<0x3eb17218) {
t = expm1f(fabsf(x));
w = one+t;
if (ix<0x39800000) return one; /* cosh(tiny) = 1 */
return one+(t*t)/(w+w);
}
/* |x| in [0.5*ln2,9], return (exp(|x|)+1/exp(|x|))/2; */
if (ix < 0x41100000) {
t = __ieee754_expf(fabsf(x));
return half*t+half/t;
}
/* |x| in [9, log(maxfloat)] return half*exp(|x|) */
if (ix < 0x42b17217) return half*__ieee754_expf(fabsf(x));
/* |x| in [log(maxfloat), overflowthresold] */
if (ix<=0x42b2d4fc)
return __ldexp_expf(fabsf(x), -1);
/* |x| > overflowthresold, cosh(x) overflow */
return huge*huge;
}
