| Index: fusl/src/math/expf.c
|
| diff --git a/fusl/src/math/expf.c b/fusl/src/math/expf.c
|
| index 16e9afe62a21cbd09d6845f8076fb37e4fa5a560..34ccafa84b87498e3b31d9ec9fd69d15041de0b2 100644
|
| --- a/fusl/src/math/expf.c
|
| +++ b/fusl/src/math/expf.c
|
| @@ -15,67 +15,65 @@
|
|
|
| #include "libm.h"
|
|
|
| -static const float
|
| -half[2] = {0.5,-0.5},
|
| -ln2hi = 6.9314575195e-1f, /* 0x3f317200 */
|
| -ln2lo = 1.4286067653e-6f, /* 0x35bfbe8e */
|
| -invln2 = 1.4426950216e+0f, /* 0x3fb8aa3b */
|
| -/*
|
| - * Domain [-0.34568, 0.34568], range ~[-4.278e-9, 4.447e-9]:
|
| - * |x*(exp(x)+1)/(exp(x)-1) - p(x)| < 2**-27.74
|
| - */
|
| -P1 = 1.6666625440e-1f, /* 0xaaaa8f.0p-26 */
|
| -P2 = -2.7667332906e-3f; /* -0xb55215.0p-32 */
|
| +static const float half[2] = {0.5, -0.5},
|
| + ln2hi = 6.9314575195e-1f, /* 0x3f317200 */
|
| + ln2lo = 1.4286067653e-6f, /* 0x35bfbe8e */
|
| + invln2 = 1.4426950216e+0f, /* 0x3fb8aa3b */
|
| + /*
|
| + * Domain [-0.34568, 0.34568], range ~[-4.278e-9, 4.447e-9]:
|
| + * |x*(exp(x)+1)/(exp(x)-1) - p(x)| < 2**-27.74
|
| + */
|
| + P1 = 1.6666625440e-1f, /* 0xaaaa8f.0p-26 */
|
| + P2 = -2.7667332906e-3f; /* -0xb55215.0p-32 */
|
|
|
| -float expf(float x)
|
| -{
|
| - float_t hi, lo, c, xx, y;
|
| - int k, sign;
|
| - uint32_t hx;
|
| +float expf(float x) {
|
| + float_t hi, lo, c, xx, y;
|
| + int k, sign;
|
| + uint32_t hx;
|
|
|
| - GET_FLOAT_WORD(hx, x);
|
| - sign = hx >> 31; /* sign bit of x */
|
| - hx &= 0x7fffffff; /* high word of |x| */
|
| + GET_FLOAT_WORD(hx, x);
|
| + sign = hx >> 31; /* sign bit of x */
|
| + hx &= 0x7fffffff; /* high word of |x| */
|
|
|
| - /* special cases */
|
| - if (hx >= 0x42aeac50) { /* if |x| >= -87.33655f or NaN */
|
| - if (hx >= 0x42b17218 && !sign) { /* x >= 88.722839f */
|
| - /* overflow */
|
| - x *= 0x1p127f;
|
| - return x;
|
| - }
|
| - if (sign) {
|
| - /* underflow */
|
| - FORCE_EVAL(-0x1p-149f/x);
|
| - if (hx >= 0x42cff1b5) /* x <= -103.972084f */
|
| - return 0;
|
| - }
|
| - }
|
| + /* special cases */
|
| + if (hx >= 0x42aeac50) { /* if |x| >= -87.33655f or NaN */
|
| + if (hx >= 0x42b17218 && !sign) { /* x >= 88.722839f */
|
| + /* overflow */
|
| + x *= 0x1p127f;
|
| + return x;
|
| + }
|
| + if (sign) {
|
| + /* underflow */
|
| + FORCE_EVAL(-0x1p-149f / x);
|
| + if (hx >= 0x42cff1b5) /* x <= -103.972084f */
|
| + return 0;
|
| + }
|
| + }
|
|
|
| - /* argument reduction */
|
| - if (hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
|
| - if (hx > 0x3f851592) /* if |x| > 1.5 ln2 */
|
| - k = 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 > 0x39000000) { /* |x| > 2**-14 */
|
| - k = 0;
|
| - hi = x;
|
| - lo = 0;
|
| - } else {
|
| - /* raise inexact */
|
| - FORCE_EVAL(0x1p127f + x);
|
| - return 1 + x;
|
| - }
|
| + /* argument reduction */
|
| + if (hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
|
| + if (hx > 0x3f851592) /* if |x| > 1.5 ln2 */
|
| + k = 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 > 0x39000000) { /* |x| > 2**-14 */
|
| + k = 0;
|
| + hi = x;
|
| + lo = 0;
|
| + } else {
|
| + /* raise inexact */
|
| + FORCE_EVAL(0x1p127f + x);
|
| + return 1 + x;
|
| + }
|
|
|
| - /* x is now in primary range */
|
| - xx = x*x;
|
| - c = x - xx*(P1+xx*P2);
|
| - y = 1 + (x*c/(2-c) - lo + hi);
|
| - if (k == 0)
|
| - return y;
|
| - return scalbnf(y, k);
|
| + /* x is now in primary range */
|
| + xx = x * x;
|
| + c = x - xx * (P1 + xx * P2);
|
| + y = 1 + (x * c / (2 - c) - lo + hi);
|
| + if (k == 0)
|
| + return y;
|
| + return scalbnf(y, k);
|
| }
|
|
|