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-rw-r--r--src/math/logf.c89
1 files changed, 89 insertions, 0 deletions
diff --git a/src/math/logf.c b/src/math/logf.c
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--- /dev/null
+++ b/src/math/logf.c
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+/* origin: FreeBSD /usr/src/lib/msun/src/e_logf.c */
+/*
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include "libm.h"
+
+static const float
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+two25 = 3.355443200e+07, /* 0x4c000000 */
+/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
+Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
+Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
+Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
+Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
+
+static const float zero = 0.0;
+
+float logf(float x)
+{
+ float hfsq,f,s,z,R,w,t1,t2,dk;
+ int32_t k,ix,i,j;
+
+ GET_FLOAT_WORD(ix, x);
+
+ k = 0;
+ if (ix < 0x00800000) { /* x < 2**-126 */
+ if ((ix & 0x7fffffff) == 0)
+ return -two25/zero; /* log(+-0)=-inf */
+ if (ix < 0)
+ return (x-x)/zero; /* log(-#) = NaN */
+ /* subnormal number, scale up x */
+ k -= 25;
+ x *= two25;
+ GET_FLOAT_WORD(ix, x);
+ }
+ if (ix >= 0x7f800000)
+ return x+x;
+ k += (ix>>23) - 127;
+ ix &= 0x007fffff;
+ i = (ix + (0x95f64<<3)) & 0x800000;
+ SET_FLOAT_WORD(x, ix|(i^0x3f800000)); /* normalize x or x/2 */
+ k += i>>23;
+ f = x - (float)1.0;
+ if ((0x007fffff & (0x8000 + ix)) < 0xc000) { /* -2**-9 <= f < 2**-9 */
+ if (f == zero) {
+ if (k == 0)
+ return zero;
+ dk = (float)k;
+ return dk*ln2_hi + dk*ln2_lo;
+ }
+ R = f*f*((float)0.5 - (float)0.33333333333333333*f);
+ if (k == 0)
+ return f-R;
+ dk = (float)k;
+ return dk*ln2_hi - ((R-dk*ln2_lo)-f);
+ }
+ s = f/((float)2.0+f);
+ dk = (float)k;
+ z = s*s;
+ i = ix-(0x6147a<<3);
+ w = z*z;
+ j = (0x6b851<<3)-ix;
+ t1= w*(Lg2+w*Lg4);
+ t2= z*(Lg1+w*Lg3);
+ i |= j;
+ R = t2 + t1;
+ if (i > 0) {
+ hfsq = (float)0.5*f*f;
+ if (k == 0)
+ return f - (hfsq-s*(hfsq+R));
+ return dk*ln2_hi - ((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
+ } else {
+ if (k == 0)
+ return f - s*(f-R);
+ return dk*ln2_hi - ((s*(f-R)-dk*ln2_lo)-f);
+ }
+}