| Index: fusl/src/math/atanf.c
|
| diff --git a/fusl/src/math/atanf.c b/fusl/src/math/atanf.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..178341b670fa249fa50157d878ac2a66bd7f1843
|
| --- /dev/null
|
| +++ b/fusl/src/math/atanf.c
|
| @@ -0,0 +1,94 @@
|
| +/* origin: FreeBSD /usr/src/lib/msun/src/s_atanf.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 atanhi[] = {
|
| + 4.6364760399e-01, /* atan(0.5)hi 0x3eed6338 */
|
| + 7.8539812565e-01, /* atan(1.0)hi 0x3f490fda */
|
| + 9.8279368877e-01, /* atan(1.5)hi 0x3f7b985e */
|
| + 1.5707962513e+00, /* atan(inf)hi 0x3fc90fda */
|
| +};
|
| +
|
| +static const float atanlo[] = {
|
| + 5.0121582440e-09, /* atan(0.5)lo 0x31ac3769 */
|
| + 3.7748947079e-08, /* atan(1.0)lo 0x33222168 */
|
| + 3.4473217170e-08, /* atan(1.5)lo 0x33140fb4 */
|
| + 7.5497894159e-08, /* atan(inf)lo 0x33a22168 */
|
| +};
|
| +
|
| +static const float aT[] = {
|
| + 3.3333328366e-01,
|
| + -1.9999158382e-01,
|
| + 1.4253635705e-01,
|
| + -1.0648017377e-01,
|
| + 6.1687607318e-02,
|
| +};
|
| +
|
| +float atanf(float x)
|
| +{
|
| + float_t w,s1,s2,z;
|
| + uint32_t ix,sign;
|
| + int id;
|
| +
|
| + GET_FLOAT_WORD(ix, x);
|
| + sign = ix>>31;
|
| + ix &= 0x7fffffff;
|
| + if (ix >= 0x4c800000) { /* if |x| >= 2**26 */
|
| + if (isnan(x))
|
| + return x;
|
| + z = atanhi[3] + 0x1p-120f;
|
| + return sign ? -z : z;
|
| + }
|
| + if (ix < 0x3ee00000) { /* |x| < 0.4375 */
|
| + if (ix < 0x39800000) { /* |x| < 2**-12 */
|
| + if (ix < 0x00800000)
|
| + /* raise underflow for subnormal x */
|
| + FORCE_EVAL(x*x);
|
| + return x;
|
| + }
|
| + id = -1;
|
| + } else {
|
| + x = fabsf(x);
|
| + if (ix < 0x3f980000) { /* |x| < 1.1875 */
|
| + if (ix < 0x3f300000) { /* 7/16 <= |x| < 11/16 */
|
| + id = 0;
|
| + x = (2.0f*x - 1.0f)/(2.0f + x);
|
| + } else { /* 11/16 <= |x| < 19/16 */
|
| + id = 1;
|
| + x = (x - 1.0f)/(x + 1.0f);
|
| + }
|
| + } else {
|
| + if (ix < 0x401c0000) { /* |x| < 2.4375 */
|
| + id = 2;
|
| + x = (x - 1.5f)/(1.0f + 1.5f*x);
|
| + } else { /* 2.4375 <= |x| < 2**26 */
|
| + id = 3;
|
| + x = -1.0f/x;
|
| + }
|
| + }
|
| + }
|
| + /* end of argument reduction */
|
| + z = x*x;
|
| + w = z*z;
|
| + /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
|
| + s1 = z*(aT[0]+w*(aT[2]+w*aT[4]));
|
| + s2 = w*(aT[1]+w*aT[3]);
|
| + if (id < 0)
|
| + return x - x*(s1+s2);
|
| + z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
|
| + return sign ? -z : z;
|
| +}
|
|
|