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| 1 #include "libm.h" |
| 2 |
| 3 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 |
| 4 long double asinhl(long double x) |
| 5 { |
| 6 return asinh(x); |
| 7 } |
| 8 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 |
| 9 /* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */ |
| 10 long double asinhl(long double x) |
| 11 { |
| 12 union ldshape u = {x}; |
| 13 unsigned e = u.i.se & 0x7fff; |
| 14 unsigned s = u.i.se >> 15; |
| 15 |
| 16 /* |x| */ |
| 17 u.i.se = e; |
| 18 x = u.f; |
| 19 |
| 20 if (e >= 0x3fff + 32) { |
| 21 /* |x| >= 0x1p32 or inf or nan */ |
| 22 x = logl(x) + 0.693147180559945309417232121458176568L; |
| 23 } else if (e >= 0x3fff + 1) { |
| 24 /* |x| >= 2 */ |
| 25 x = logl(2*x + 1/(sqrtl(x*x+1)+x)); |
| 26 } else if (e >= 0x3fff - 32) { |
| 27 /* |x| >= 0x1p-32 */ |
| 28 x = log1pl(x + x*x/(sqrtl(x*x+1)+1)); |
| 29 } else { |
| 30 /* |x| < 0x1p-32, raise inexact if x!=0 */ |
| 31 FORCE_EVAL(x + 0x1p120f); |
| 32 } |
| 33 return s ? -x : x; |
| 34 } |
| 35 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 |
| 36 // TODO: broken implementation to make things compile |
| 37 long double asinhl(long double x) |
| 38 { |
| 39 return asinh(x); |
| 40 } |
| 41 #endif |
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