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Unified Diff: fusl/src/math/expm1.c

Issue 1714623002: [fusl] clang-format fusl (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: headers too Created 4 years, 10 months ago
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Index: fusl/src/math/expm1.c
diff --git a/fusl/src/math/expm1.c b/fusl/src/math/expm1.c
index ac1e61e4f7f6a0d09651c814f7885cc6f25b163a..52cfc25b886b860e478192b6a9d753616b985968 100644
--- a/fusl/src/math/expm1.c
+++ b/fusl/src/math/expm1.c
@@ -106,96 +106,99 @@
#include "libm.h"
-static const double
-o_threshold = 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
-ln2_hi = 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
-ln2_lo = 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */
-invln2 = 1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
-/* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = x*x/2: */
-Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */
-Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */
-Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */
-Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */
-Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */
+static const double o_threshold =
+ 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
+ ln2_hi = 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
+ ln2_lo = 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */
+ invln2 = 1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
+ /* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = x*x/2:
+ */
+ Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */
+ Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */
+ Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */
+ Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */
+ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */
-double expm1(double x)
-{
- double_t y,hi,lo,c,t,e,hxs,hfx,r1,twopk;
- union {double f; uint64_t i;} u = {x};
- uint32_t hx = u.i>>32 & 0x7fffffff;
- int k, sign = u.i>>63;
+double expm1(double x) {
+ double_t y, hi, lo, c, t, e, hxs, hfx, r1, twopk;
+ union {
+ double f;
+ uint64_t i;
+ } u = {x};
+ uint32_t hx = u.i >> 32 & 0x7fffffff;
+ int k, sign = u.i >> 63;
- /* filter out huge and non-finite argument */
- if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */
- if (isnan(x))
- return x;
- if (sign)
- return -1;
- if (x > o_threshold) {
- x *= 0x1p1023;
- return x;
- }
- }
+ /* filter out huge and non-finite argument */
+ if (hx >= 0x4043687A) { /* if |x|>=56*ln2 */
+ if (isnan(x))
+ return x;
+ if (sign)
+ return -1;
+ if (x > o_threshold) {
+ x *= 0x1p1023;
+ return x;
+ }
+ }
- /* argument reduction */
- if (hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
- if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
- if (!sign) {
- hi = x - ln2_hi;
- lo = ln2_lo;
- k = 1;
- } else {
- hi = x + ln2_hi;
- lo = -ln2_lo;
- k = -1;
- }
- } else {
- k = invln2*x + (sign ? -0.5 : 0.5);
- t = k;
- hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
- lo = t*ln2_lo;
- }
- x = hi-lo;
- c = (hi-x)-lo;
- } else if (hx < 0x3c900000) { /* |x| < 2**-54, return x */
- if (hx < 0x00100000)
- FORCE_EVAL((float)x);
- return x;
- } else
- k = 0;
+ /* argument reduction */
+ if (hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
+ if (hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
+ if (!sign) {
+ hi = x - ln2_hi;
+ lo = ln2_lo;
+ k = 1;
+ } else {
+ hi = x + ln2_hi;
+ lo = -ln2_lo;
+ k = -1;
+ }
+ } else {
+ k = invln2 * x + (sign ? -0.5 : 0.5);
+ t = k;
+ hi = x - t * ln2_hi; /* t*ln2_hi is exact here */
+ lo = t * ln2_lo;
+ }
+ x = hi - lo;
+ c = (hi - x) - lo;
+ } else if (hx < 0x3c900000) { /* |x| < 2**-54, return x */
+ if (hx < 0x00100000)
+ FORCE_EVAL((float)x);
+ return x;
+ } else
+ k = 0;
- /* x is now in primary range */
- hfx = 0.5*x;
- hxs = x*hfx;
- r1 = 1.0+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
- t = 3.0-r1*hfx;
- e = hxs*((r1-t)/(6.0 - x*t));
- if (k == 0) /* c is 0 */
- return x - (x*e-hxs);
- e = x*(e-c) - c;
- e -= hxs;
- /* exp(x) ~ 2^k (x_reduced - e + 1) */
- if (k == -1)
- return 0.5*(x-e) - 0.5;
- if (k == 1) {
- if (x < -0.25)
- return -2.0*(e-(x+0.5));
- return 1.0+2.0*(x-e);
- }
- u.i = (uint64_t)(0x3ff + k)<<52; /* 2^k */
- twopk = u.f;
- if (k < 0 || k > 56) { /* suffice to return exp(x)-1 */
- y = x - e + 1.0;
- if (k == 1024)
- y = y*2.0*0x1p1023;
- else
- y = y*twopk;
- return y - 1.0;
- }
- u.i = (uint64_t)(0x3ff - k)<<52; /* 2^-k */
- if (k < 20)
- y = (x-e+(1-u.f))*twopk;
- else
- y = (x-(e+u.f)+1)*twopk;
- return y;
+ /* x is now in primary range */
+ hfx = 0.5 * x;
+ hxs = x * hfx;
+ r1 = 1.0 + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5))));
+ t = 3.0 - r1 * hfx;
+ e = hxs * ((r1 - t) / (6.0 - x * t));
+ if (k == 0) /* c is 0 */
+ return x - (x * e - hxs);
+ e = x * (e - c) - c;
+ e -= hxs;
+ /* exp(x) ~ 2^k (x_reduced - e + 1) */
+ if (k == -1)
+ return 0.5 * (x - e) - 0.5;
+ if (k == 1) {
+ if (x < -0.25)
+ return -2.0 * (e - (x + 0.5));
+ return 1.0 + 2.0 * (x - e);
+ }
+ u.i = (uint64_t)(0x3ff + k) << 52; /* 2^k */
+ twopk = u.f;
+ if (k < 0 || k > 56) { /* suffice to return exp(x)-1 */
+ y = x - e + 1.0;
+ if (k == 1024)
+ y = y * 2.0 * 0x1p1023;
+ else
+ y = y * twopk;
+ return y - 1.0;
+ }
+ u.i = (uint64_t)(0x3ff - k) << 52; /* 2^-k */
+ if (k < 20)
+ y = (x - e + (1 - u.f)) * twopk;
+ else
+ y = (x - (e + u.f) + 1) * twopk;
+ return y;
}

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