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; }