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Unified Diff: fusl/src/math/expm1f.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/expm1f.c
diff --git a/fusl/src/math/expm1f.c b/fusl/src/math/expm1f.c
index 297e0b44a2ebcc99d406bc7641d1fbf8aa76b097..3ea476e1efc033b3871660c9b2830822a79ef166 100644
--- a/fusl/src/math/expm1f.c
+++ b/fusl/src/math/expm1f.c
@@ -15,97 +15,98 @@
#include "libm.h"
-static const float
-o_threshold = 8.8721679688e+01, /* 0x42b17180 */
-ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
-ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
-invln2 = 1.4426950216e+00, /* 0x3fb8aa3b */
-/*
- * Domain [-0.34568, 0.34568], range ~[-6.694e-10, 6.696e-10]:
- * |6 / x * (1 + 2 * (1 / (exp(x) - 1) - 1 / x)) - q(x)| < 2**-30.04
- * Scaled coefficients: Qn_here = 2**n * Qn_for_q (see s_expm1.c):
- */
-Q1 = -3.3333212137e-2, /* -0x888868.0p-28 */
-Q2 = 1.5807170421e-3; /* 0xcf3010.0p-33 */
+static const float o_threshold = 8.8721679688e+01, /* 0x42b17180 */
+ ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+ invln2 = 1.4426950216e+00, /* 0x3fb8aa3b */
+ /*
+ * Domain [-0.34568, 0.34568], range ~[-6.694e-10, 6.696e-10]:
+ * |6 / x * (1 + 2 * (1 / (exp(x) - 1) - 1 / x)) - q(x)| < 2**-30.04
+ * Scaled coefficients: Qn_here = 2**n * Qn_for_q (see s_expm1.c):
+ */
+ Q1 = -3.3333212137e-2, /* -0x888868.0p-28 */
+ Q2 = 1.5807170421e-3; /* 0xcf3010.0p-33 */
-float expm1f(float x)
-{
- float_t y,hi,lo,c,t,e,hxs,hfx,r1,twopk;
- union {float f; uint32_t i;} u = {x};
- uint32_t hx = u.i & 0x7fffffff;
- int k, sign = u.i >> 31;
+float expm1f(float x) {
+ float_t y, hi, lo, c, t, e, hxs, hfx, r1, twopk;
+ union {
+ float f;
+ uint32_t i;
+ } u = {x};
+ uint32_t hx = u.i & 0x7fffffff;
+ int k, sign = u.i >> 31;
- /* filter out huge and non-finite argument */
- if (hx >= 0x4195b844) { /* if |x|>=27*ln2 */
- if (hx > 0x7f800000) /* NaN */
- return x;
- if (sign)
- return -1;
- if (x > o_threshold) {
- x *= 0x1p127f;
- return x;
- }
- }
+ /* filter out huge and non-finite argument */
+ if (hx >= 0x4195b844) { /* if |x|>=27*ln2 */
+ if (hx > 0x7f800000) /* NaN */
+ return x;
+ if (sign)
+ return -1;
+ if (x > o_threshold) {
+ x *= 0x1p127f;
+ return x;
+ }
+ }
- /* argument reduction */
- if (hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
- if (hx < 0x3F851592) { /* 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 ? -0.5f : 0.5f);
- 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 < 0x33000000) { /* when |x|<2**-25, return x */
- if (hx < 0x00800000)
- FORCE_EVAL(x*x);
- return x;
- } else
- k = 0;
+ /* argument reduction */
+ if (hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
+ if (hx < 0x3F851592) { /* 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 ? -0.5f : 0.5f);
+ 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 < 0x33000000) { /* when |x|<2**-25, return x */
+ if (hx < 0x00800000)
+ FORCE_EVAL(x * x);
+ return x;
+ } else
+ k = 0;
- /* x is now in primary range */
- hfx = 0.5f*x;
- hxs = x*hfx;
- r1 = 1.0f+hxs*(Q1+hxs*Q2);
- t = 3.0f - r1*hfx;
- e = hxs*((r1-t)/(6.0f - 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 0.5f*(x-e) - 0.5f;
- if (k == 1) {
- if (x < -0.25f)
- return -2.0f*(e-(x+0.5f));
- return 1.0f + 2.0f*(x-e);
- }
- u.i = (0x7f+k)<<23; /* 2^k */
- twopk = u.f;
- if (k < 0 || k > 56) { /* suffice to return exp(x)-1 */
- y = x - e + 1.0f;
- if (k == 128)
- y = y*2.0f*0x1p127f;
- else
- y = y*twopk;
- return y - 1.0f;
- }
- u.i = (0x7f-k)<<23; /* 2^-k */
- if (k < 23)
- y = (x-e+(1-u.f))*twopk;
- else
- y = (x-(e+u.f)+1)*twopk;
- return y;
+ /* x is now in primary range */
+ hfx = 0.5f * x;
+ hxs = x * hfx;
+ r1 = 1.0f + hxs * (Q1 + hxs * Q2);
+ t = 3.0f - r1 * hfx;
+ e = hxs * ((r1 - t) / (6.0f - 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 0.5f * (x - e) - 0.5f;
+ if (k == 1) {
+ if (x < -0.25f)
+ return -2.0f * (e - (x + 0.5f));
+ return 1.0f + 2.0f * (x - e);
+ }
+ u.i = (0x7f + k) << 23; /* 2^k */
+ twopk = u.f;
+ if (k < 0 || k > 56) { /* suffice to return exp(x)-1 */
+ y = x - e + 1.0f;
+ if (k == 128)
+ y = y * 2.0f * 0x1p127f;
+ else
+ y = y * twopk;
+ return y - 1.0f;
+ }
+ u.i = (0x7f - k) << 23; /* 2^-k */
+ if (k < 23)
+ y = (x - e + (1 - u.f)) * twopk;
+ else
+ y = (x - (e + u.f) + 1) * twopk;
+ return y;
}

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