| #include "libm.h" | |
| /* k is such that k*ln2 has minimal relative error and x - kln2 > log(DBL_MIN) */ | |
| static const int k = 2043; | |
| static const double kln2 = 0x1.62066151add8bp+10; | |
| /* exp(x)/2 for x >= log(DBL_MAX), slightly better than 0.5*exp(x/2)*exp(x/2) */ | |
| double __expo2(double x) { | |
| double scale; | |
| /* note that k is odd and scale*scale overflows */ | |
| INSERT_WORDS(scale, (uint32_t)(0x3ff + k / 2) << 20, 0); | |
| /* exp(x - k ln2) * 2**(k-1) */ | |
| return exp(x - kln2) * scale * scale; | |
| } |