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

Issue 1714623002: [fusl] clang-format fusl (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: headers too Created 4 years, 10 months ago
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1 #include "libm.h" 1 #include "libm.h"
2 2
3 /* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */ 3 /* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */
4 double asinh(double x) 4 double asinh(double x) {
5 { 5 union {
6 » union {double f; uint64_t i;} u = {.f = x}; 6 double f;
7 » unsigned e = u.i >> 52 & 0x7ff; 7 uint64_t i;
8 » unsigned s = u.i >> 63; 8 } u = {.f = x};
9 unsigned e = u.i >> 52 & 0x7ff;
10 unsigned s = u.i >> 63;
9 11
10 » /* |x| */ 12 /* |x| */
11 » u.i &= (uint64_t)-1/2; 13 u.i &= (uint64_t)-1 / 2;
12 » x = u.f; 14 x = u.f;
13 15
14 » if (e >= 0x3ff + 26) { 16 if (e >= 0x3ff + 26) {
15 » » /* |x| >= 0x1p26 or inf or nan */ 17 /* |x| >= 0x1p26 or inf or nan */
16 » » x = log(x) + 0.693147180559945309417232121458176568; 18 x = log(x) + 0.693147180559945309417232121458176568;
17 » } else if (e >= 0x3ff + 1) { 19 } else if (e >= 0x3ff + 1) {
18 » » /* |x| >= 2 */ 20 /* |x| >= 2 */
19 » » x = log(2*x + 1/(sqrt(x*x+1)+x)); 21 x = log(2 * x + 1 / (sqrt(x * x + 1) + x));
20 » } else if (e >= 0x3ff - 26) { 22 } else if (e >= 0x3ff - 26) {
21 » » /* |x| >= 0x1p-26, up to 1.6ulp error in [0.125,0.5] */ 23 /* |x| >= 0x1p-26, up to 1.6ulp error in [0.125,0.5] */
22 » » x = log1p(x + x*x/(sqrt(x*x+1)+1)); 24 x = log1p(x + x * x / (sqrt(x * x + 1) + 1));
23 » } else { 25 } else {
24 » » /* |x| < 0x1p-26, raise inexact if x != 0 */ 26 /* |x| < 0x1p-26, raise inexact if x != 0 */
25 » » FORCE_EVAL(x + 0x1p120f); 27 FORCE_EVAL(x + 0x1p120f);
26 » } 28 }
27 » return s ? -x : x; 29 return s ? -x : x;
28 } 30 }
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