double __ieee754_sinh(double x) { double t,h; int32_t ix,jx; /* High word of |x|. */ GET_HIGH_WORD(jx,x); ix = jx&0x7fffffff; /* x is INF or NaN */ if(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)); } /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */ if (ix < 0x40862E42) return h*__ieee754_exp(fabs(x)); /* |x| in [log(maxdouble), overflowthresold] */ if (ix<=0x408633CE) return h*2.0*__ldexp_exp(fabs(x), -1); /* |x| > overflowthresold, sinh(x) overflow */ return x*shuge; }
double __ieee754_cosh(double x) { double t,w; int32_t ix; /* High word of |x|. */ GET_HIGH_WORD(ix,x); ix &= 0x7fffffff; /* x is INF or NaN */ if(ix>=0x7ff00000) return x*x; /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */ if(ix<0x3fd62e43) { t = expm1(fabs(x)); w = one+t; if (ix<0x3c800000) return w; /* cosh(tiny) = 1 */ return one+(t*t)/(w+w); } /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */ if (ix < 0x40360000) { t = __ieee754_exp(fabs(x)); return half*t+half/t; } /* |x| in [22, log(maxdouble)] return half*exp(|x|) */ if (ix < 0x40862E42) return half*__ieee754_exp(fabs(x)); /* |x| in [log(maxdouble), overflowthresold] */ if (ix<=0x408633CE) return __ldexp_exp(fabs(x), -1); /* |x| > overflowthresold, cosh(x) overflow */ return huge*huge; }