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