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Side by Side Diff: fusl/src/math/acosh.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 FLT_EVAL_METHOD==2
4 #undef sqrt
5 #define sqrt sqrtl
6 #endif
7
8 /* acosh(x) = log(x + sqrt(x*x-1)) */
9 double acosh(double x)
10 {
11 union {double f; uint64_t i;} u = {.f = x};
12 unsigned e = u.i >> 52 & 0x7ff;
13
14 /* x < 1 domain error is handled in the called functions */
15
16 if (e < 0x3ff + 1)
17 /* |x| < 2, up to 2ulp error in [1,1.125] */
18 return log1p(x-1 + sqrt((x-1)*(x-1)+2*(x-1)));
19 if (e < 0x3ff + 26)
20 /* |x| < 0x1p26 */
21 return log(2*x - 1/(x+sqrt(x*x-1)));
22 /* |x| >= 0x1p26 or nan */
23 return log(x) + 0.693147180559945309417232121458176568;
24 }
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