| Index: fusl/src/math/__tandf.c
|
| diff --git a/fusl/src/math/__tandf.c b/fusl/src/math/__tandf.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..25047eeee9c098894010a3984372ba63cb698656
|
| --- /dev/null
|
| +++ b/fusl/src/math/__tandf.c
|
| @@ -0,0 +1,54 @@
|
| +/* origin: FreeBSD /usr/src/lib/msun/src/k_tanf.c */
|
| +/*
|
| + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
|
| + * Optimized by Bruce D. Evans.
|
| + */
|
| +/*
|
| + * ====================================================
|
| + * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
|
| + *
|
| + * Permission to use, copy, modify, and distribute this
|
| + * software is freely granted, provided that this notice
|
| + * is preserved.
|
| + * ====================================================
|
| + */
|
| +
|
| +#include "libm.h"
|
| +
|
| +/* |tan(x)/x - t(x)| < 2**-25.5 (~[-2e-08, 2e-08]). */
|
| +static const double T[] = {
|
| + 0x15554d3418c99f.0p-54, /* 0.333331395030791399758 */
|
| + 0x1112fd38999f72.0p-55, /* 0.133392002712976742718 */
|
| + 0x1b54c91d865afe.0p-57, /* 0.0533812378445670393523 */
|
| + 0x191df3908c33ce.0p-58, /* 0.0245283181166547278873 */
|
| + 0x185dadfcecf44e.0p-61, /* 0.00297435743359967304927 */
|
| + 0x1362b9bf971bcd.0p-59, /* 0.00946564784943673166728 */
|
| +};
|
| +
|
| +float __tandf(double x, int odd)
|
| +{
|
| + double_t z,r,w,s,t,u;
|
| +
|
| + z = x*x;
|
| + /*
|
| + * Split up the polynomial into small independent terms to give
|
| + * opportunities for parallel evaluation. The chosen splitting is
|
| + * micro-optimized for Athlons (XP, X64). It costs 2 multiplications
|
| + * relative to Horner's method on sequential machines.
|
| + *
|
| + * We add the small terms from lowest degree up for efficiency on
|
| + * non-sequential machines (the lowest degree terms tend to be ready
|
| + * earlier). Apart from this, we don't care about order of
|
| + * operations, and don't need to to care since we have precision to
|
| + * spare. However, the chosen splitting is good for accuracy too,
|
| + * and would give results as accurate as Horner's method if the
|
| + * small terms were added from highest degree down.
|
| + */
|
| + r = T[4] + z*T[5];
|
| + t = T[2] + z*T[3];
|
| + w = z*z;
|
| + s = z*x;
|
| + u = T[0] + z*T[1];
|
| + r = (x + s*u) + (s*w)*(t + w*r);
|
| + return odd ? -1.0/r : r;
|
| +}
|
|
|