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Side by Side Diff: fusl/src/math/atanhl.c

Issue 1573973002: Add a "fork" of musl as //fusl. (Closed) Base URL: https://github.com/domokit/mojo.git@master
Patch Set: Created 4 years, 11 months ago
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1 #include "libm.h"
2
3 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
4 long double atanhl(long double x)
5 {
6 return atanh(x);
7 }
8 #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
9 /* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */
10 long double atanhl(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 < 0x3ff - 1) {
21 if (e < 0x3ff - LDBL_MANT_DIG/2) {
22 /* handle underflow */
23 if (e == 0)
24 FORCE_EVAL((float)x);
25 } else {
26 /* |x| < 0.5, up to 1.7ulp error */
27 x = 0.5*log1pl(2*x + 2*x*x/(1-x));
28 }
29 } else {
30 /* avoid overflow */
31 x = 0.5*log1pl(2*(x/(1-x)));
32 }
33 return s ? -x : x;
34 }
35 #endif
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