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1 #include "libm.h" | 1 #include "libm.h" |
2 | 2 |
3 #if FLT_EVAL_METHOD==2 | 3 #if FLT_EVAL_METHOD == 2 |
4 #undef sqrtf | 4 #undef sqrtf |
5 #define sqrtf sqrtl | 5 #define sqrtf sqrtl |
6 #elif FLT_EVAL_METHOD==1 | 6 #elif FLT_EVAL_METHOD == 1 |
7 #undef sqrtf | 7 #undef sqrtf |
8 #define sqrtf sqrt | 8 #define sqrtf sqrt |
9 #endif | 9 #endif |
10 | 10 |
11 /* acosh(x) = log(x + sqrt(x*x-1)) */ | 11 /* acosh(x) = log(x + sqrt(x*x-1)) */ |
12 float acoshf(float x) | 12 float acoshf(float x) { |
13 { | 13 union { |
14 » union {float f; uint32_t i;} u = {x}; | 14 float f; |
15 » uint32_t a = u.i & 0x7fffffff; | 15 uint32_t i; |
| 16 } u = {x}; |
| 17 uint32_t a = u.i & 0x7fffffff; |
16 | 18 |
17 » if (a < 0x3f800000+(1<<23)) | 19 if (a < 0x3f800000 + (1 << 23)) |
18 » » /* |x| < 2, invalid if x < 1 or nan */ | 20 /* |x| < 2, invalid if x < 1 or nan */ |
19 » » /* up to 2ulp error in [1,1.125] */ | 21 /* up to 2ulp error in [1,1.125] */ |
20 » » return log1pf(x-1 + sqrtf((x-1)*(x-1)+2*(x-1))); | 22 return log1pf(x - 1 + sqrtf((x - 1) * (x - 1) + 2 * (x - 1))); |
21 » if (a < 0x3f800000+(12<<23)) | 23 if (a < 0x3f800000 + (12 << 23)) |
22 » » /* |x| < 0x1p12 */ | 24 /* |x| < 0x1p12 */ |
23 » » return logf(2*x - 1/(x+sqrtf(x*x-1))); | 25 return logf(2 * x - 1 / (x + sqrtf(x * x - 1))); |
24 » /* x >= 0x1p12 */ | 26 /* x >= 0x1p12 */ |
25 » return logf(x) + 0.693147180559945309417232121458176568f; | 27 return logf(x) + 0.693147180559945309417232121458176568f; |
26 } | 28 } |
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