kaguya
42 lines
973 B
C
42 lines
973 B
C
#include "libm.h"
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#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
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long double asinhl(long double x)
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{
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return asinh(x);
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}
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#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
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/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */
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long double asinhl(long double x)
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{
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union ldshape u = {x};
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unsigned e = u.i.se & 0x7fff;
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unsigned s = u.i.se >> 15;
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/* |x| */
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u.i.se = e;
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x = u.f;
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if (e >= 0x3fff + 32) {
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/* |x| >= 0x1p32 or inf or nan */
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x = logl(x) + 0.693147180559945309417232121458176568L;
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} else if (e >= 0x3fff + 1) {
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/* |x| >= 2 */
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x = logl(2*x + 1/(sqrtl(x*x+1)+x));
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} else if (e >= 0x3fff - 32) {
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/* |x| >= 0x1p-32 */
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x = log1pl(x + x*x/(sqrtl(x*x+1)+1));
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} else {
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/* |x| < 0x1p-32, raise inexact if x!=0 */
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FORCE_EVAL(x + 0x1p120f);
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}
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return s ? -x : x;
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}
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#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
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// TODO: broken implementation to make things compile
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long double asinhl(long double x)
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{
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return asinh(x);
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}
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#endif
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