| Index: fusl/src/math/exp.c
|
| diff --git a/fusl/src/math/exp.c b/fusl/src/math/exp.c
|
| index 9ea672fac6168b16c33cffa2b9f48960cf3c2f81..d196944cb34d060b7b51838df0f0cf370f39a419 100644
|
| --- a/fusl/src/math/exp.c
|
| +++ b/fusl/src/math/exp.c
|
| @@ -67,68 +67,67 @@
|
|
|
| #include "libm.h"
|
|
|
| -static const double
|
| -half[2] = {0.5,-0.5},
|
| -ln2hi = 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
|
| -ln2lo = 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */
|
| -invln2 = 1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
|
| -P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
|
| -P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
|
| -P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
|
| -P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
|
| -P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
|
| +static const double half[2] = {0.5, -0.5},
|
| + ln2hi =
|
| + 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
|
| + ln2lo = 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */
|
| + invln2 = 1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
|
| + P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
|
| + P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
|
| + P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
|
| + P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
|
| + P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
|
|
|
| -double exp(double x)
|
| -{
|
| - double_t hi, lo, c, xx, y;
|
| - int k, sign;
|
| - uint32_t hx;
|
| +double exp(double x) {
|
| + double_t hi, lo, c, xx, y;
|
| + int k, sign;
|
| + uint32_t hx;
|
|
|
| - GET_HIGH_WORD(hx, x);
|
| - sign = hx>>31;
|
| - hx &= 0x7fffffff; /* high word of |x| */
|
| + GET_HIGH_WORD(hx, x);
|
| + sign = hx >> 31;
|
| + hx &= 0x7fffffff; /* high word of |x| */
|
|
|
| - /* special cases */
|
| - if (hx >= 0x4086232b) { /* if |x| >= 708.39... */
|
| - if (isnan(x))
|
| - return x;
|
| - if (x > 709.782712893383973096) {
|
| - /* overflow if x!=inf */
|
| - x *= 0x1p1023;
|
| - return x;
|
| - }
|
| - if (x < -708.39641853226410622) {
|
| - /* underflow if x!=-inf */
|
| - FORCE_EVAL((float)(-0x1p-149/x));
|
| - if (x < -745.13321910194110842)
|
| - return 0;
|
| - }
|
| - }
|
| + /* special cases */
|
| + if (hx >= 0x4086232b) { /* if |x| >= 708.39... */
|
| + if (isnan(x))
|
| + return x;
|
| + if (x > 709.782712893383973096) {
|
| + /* overflow if x!=inf */
|
| + x *= 0x1p1023;
|
| + return x;
|
| + }
|
| + if (x < -708.39641853226410622) {
|
| + /* underflow if x!=-inf */
|
| + FORCE_EVAL((float)(-0x1p-149 / x));
|
| + if (x < -745.13321910194110842)
|
| + return 0;
|
| + }
|
| + }
|
|
|
| - /* argument reduction */
|
| - if (hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
|
| - if (hx >= 0x3ff0a2b2) /* if |x| >= 1.5 ln2 */
|
| - k = (int)(invln2*x + half[sign]);
|
| - else
|
| - k = 1 - sign - sign;
|
| - hi = x - k*ln2hi; /* k*ln2hi is exact here */
|
| - lo = k*ln2lo;
|
| - x = hi - lo;
|
| - } else if (hx > 0x3e300000) { /* if |x| > 2**-28 */
|
| - k = 0;
|
| - hi = x;
|
| - lo = 0;
|
| - } else {
|
| - /* inexact if x!=0 */
|
| - FORCE_EVAL(0x1p1023 + x);
|
| - return 1 + x;
|
| - }
|
| + /* argument reduction */
|
| + if (hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
|
| + if (hx >= 0x3ff0a2b2) /* if |x| >= 1.5 ln2 */
|
| + k = (int)(invln2 * x + half[sign]);
|
| + else
|
| + k = 1 - sign - sign;
|
| + hi = x - k * ln2hi; /* k*ln2hi is exact here */
|
| + lo = k * ln2lo;
|
| + x = hi - lo;
|
| + } else if (hx > 0x3e300000) { /* if |x| > 2**-28 */
|
| + k = 0;
|
| + hi = x;
|
| + lo = 0;
|
| + } else {
|
| + /* inexact if x!=0 */
|
| + FORCE_EVAL(0x1p1023 + x);
|
| + return 1 + x;
|
| + }
|
|
|
| - /* x is now in primary range */
|
| - xx = x*x;
|
| - c = x - xx*(P1+xx*(P2+xx*(P3+xx*(P4+xx*P5))));
|
| - y = 1 + (x*c/(2-c) - lo + hi);
|
| - if (k == 0)
|
| - return y;
|
| - return scalbn(y, k);
|
| + /* x is now in primary range */
|
| + xx = x * x;
|
| + c = x - xx * (P1 + xx * (P2 + xx * (P3 + xx * (P4 + xx * P5))));
|
| + y = 1 + (x * c / (2 - c) - lo + hi);
|
| + if (k == 0)
|
| + return y;
|
| + return scalbn(y, k);
|
| }
|
|
|