Use __ldexp_exp() to simplify things and improve accuracy for x near
the overflow threshold.
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@ -45,7 +45,6 @@ __ieee754_cosh(double x)
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{
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double t,w;
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int32_t ix;
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u_int32_t lx;
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/* High word of |x|. */
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GET_HIGH_WORD(ix,x);
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@ -72,13 +71,8 @@ __ieee754_cosh(double x)
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if (ix < 0x40862E42) return half*__ieee754_exp(fabs(x));
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/* |x| in [log(maxdouble), overflowthresold] */
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GET_LOW_WORD(lx,x);
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if (ix<0x408633CE ||
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((ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d))) {
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w = __ieee754_exp(half*fabs(x));
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t = half*w;
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return t*w;
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}
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if (ix<=0x408633CE)
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return __ldexp_exp(fabs(x), -1);
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/* |x| > overflowthresold, cosh(x) overflow */
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return huge*huge;
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@ -51,11 +51,8 @@ __ieee754_coshf(float x)
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if (ix < 0x42b17217) return half*__ieee754_expf(fabsf(x));
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/* |x| in [log(maxfloat), overflowthresold] */
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if (ix<=0x42b2d4fc) {
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w = __ieee754_expf(half*fabsf(x));
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t = half*w;
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return t*w;
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}
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if (ix<=0x42b2d4fc)
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return __ldexp_expf(fabsf(x), -1);
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/* |x| > overflowthresold, cosh(x) overflow */
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return huge*huge;
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@ -40,9 +40,8 @@ static const double one = 1.0, shuge = 1.0e307;
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double
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__ieee754_sinh(double x)
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{
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double t,w,h;
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double t,h;
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int32_t ix,jx;
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u_int32_t lx;
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/* High word of |x|. */
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GET_HIGH_WORD(jx,x);
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@ -66,12 +65,8 @@ __ieee754_sinh(double x)
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if (ix < 0x40862E42) return h*__ieee754_exp(fabs(x));
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/* |x| in [log(maxdouble), overflowthresold] */
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GET_LOW_WORD(lx,x);
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if (ix<0x408633CE || ((ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d))) {
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w = __ieee754_exp(0.5*fabs(x));
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t = h*w;
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return t*w;
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}
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if (ix<=0x408633CE)
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return h*2.0*__ldexp_exp(fabs(x), -1);
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/* |x| > overflowthresold, sinh(x) overflow */
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return x*shuge;
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@ -24,7 +24,7 @@ static const float one = 1.0, shuge = 1.0e37;
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float
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__ieee754_sinhf(float x)
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{
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float t,w,h;
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float t,h;
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int32_t ix,jx;
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GET_FLOAT_WORD(jx,x);
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@ -48,11 +48,8 @@ __ieee754_sinhf(float x)
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if (ix < 0x42b17217) return h*__ieee754_expf(fabsf(x));
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/* |x| in [logf(maxfloat), overflowthresold] */
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if (ix<=0x42b2d4fc) {
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w = __ieee754_expf((float)0.5*fabsf(x));
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t = h*w;
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return t*w;
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}
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if (ix<=0x42b2d4fc)
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return h*2.0F*__ldexp_expf(fabsf(x), -1);
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/* |x| > overflowthresold, sinh(x) overflow */
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return x*shuge;
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