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1 #include "libm.h" | 1 #include "libm.h" |
2 | 2 |
3 /* k is such that k*ln2 has minimal relative error and x - kln2 > log(DBL_MIN) *
/ | 3 /* k is such that k*ln2 has minimal relative error and x - kln2 > log(DBL_MIN) |
| 4 */ |
4 static const int k = 2043; | 5 static const int k = 2043; |
5 static const double kln2 = 0x1.62066151add8bp+10; | 6 static const double kln2 = 0x1.62066151add8bp+10; |
6 | 7 |
7 /* exp(x)/2 for x >= log(DBL_MAX), slightly better than 0.5*exp(x/2)*exp(x/2) */ | 8 /* exp(x)/2 for x >= log(DBL_MAX), slightly better than 0.5*exp(x/2)*exp(x/2) */ |
8 double __expo2(double x) | 9 double __expo2(double x) { |
9 { | 10 double scale; |
10 » double scale; | |
11 | 11 |
12 » /* note that k is odd and scale*scale overflows */ | 12 /* note that k is odd and scale*scale overflows */ |
13 » INSERT_WORDS(scale, (uint32_t)(0x3ff + k/2) << 20, 0); | 13 INSERT_WORDS(scale, (uint32_t)(0x3ff + k / 2) << 20, 0); |
14 » /* exp(x - k ln2) * 2**(k-1) */ | 14 /* exp(x - k ln2) * 2**(k-1) */ |
15 » return exp(x - kln2) * scale * scale; | 15 return exp(x - kln2) * scale * scale; |
16 } | 16 } |
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