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Unified Diff: fusl/src/math/atan.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/atan.c
diff --git a/fusl/src/math/atan.c b/fusl/src/math/atan.c
index 63b0ab25e3cf02ea81bab5a9ee4d99d6c40bb582..8d33b5364bad6a693b7d7ad07b76b4b2d6b26dec 100644
--- a/fusl/src/math/atan.c
+++ b/fusl/src/math/atan.c
@@ -29,88 +29,87 @@
* to produce the hexadecimal values shown.
*/
-
#include "libm.h"
static const double atanhi[] = {
- 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
- 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
- 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
- 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
+ 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
+ 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
+ 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
+ 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
};
static const double atanlo[] = {
- 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
- 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */
- 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
- 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */
+ 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
+ 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */
+ 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
+ 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */
};
static const double aT[] = {
- 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */
- -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */
- 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */
- -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */
- 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */
- -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */
- 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */
- -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */
- 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */
- -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */
- 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
+ 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */
+ -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */
+ 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */
+ -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */
+ 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */
+ -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */
+ 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */
+ -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */
+ 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */
+ -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */
+ 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
};
-double atan(double x)
-{
- double_t w,s1,s2,z;
- uint32_t ix,sign;
- int id;
+double atan(double x) {
+ double_t w, s1, s2, z;
+ uint32_t ix, sign;
+ int id;
- GET_HIGH_WORD(ix, x);
- sign = ix >> 31;
- ix &= 0x7fffffff;
- if (ix >= 0x44100000) { /* if |x| >= 2^66 */
- if (isnan(x))
- return x;
- z = atanhi[3] + 0x1p-120f;
- return sign ? -z : z;
- }
- if (ix < 0x3fdc0000) { /* |x| < 0.4375 */
- if (ix < 0x3e400000) { /* |x| < 2^-27 */
- if (ix < 0x00100000)
- /* raise underflow for subnormal x */
- FORCE_EVAL((float)x);
- return x;
- }
- id = -1;
- } else {
- x = fabs(x);
- if (ix < 0x3ff30000) { /* |x| < 1.1875 */
- if (ix < 0x3fe60000) { /* 7/16 <= |x| < 11/16 */
- id = 0;
- x = (2.0*x-1.0)/(2.0+x);
- } else { /* 11/16 <= |x| < 19/16 */
- id = 1;
- x = (x-1.0)/(x+1.0);
- }
- } else {
- if (ix < 0x40038000) { /* |x| < 2.4375 */
- id = 2;
- x = (x-1.5)/(1.0+1.5*x);
- } else { /* 2.4375 <= |x| < 2^66 */
- id = 3;
- x = -1.0/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]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
- s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
- if (id < 0)
- return x - x*(s1+s2);
- z = atanhi[id] - (x*(s1+s2) - atanlo[id] - x);
- return sign ? -z : z;
+ GET_HIGH_WORD(ix, x);
+ sign = ix >> 31;
+ ix &= 0x7fffffff;
+ if (ix >= 0x44100000) { /* if |x| >= 2^66 */
+ if (isnan(x))
+ return x;
+ z = atanhi[3] + 0x1p-120f;
+ return sign ? -z : z;
+ }
+ if (ix < 0x3fdc0000) { /* |x| < 0.4375 */
+ if (ix < 0x3e400000) { /* |x| < 2^-27 */
+ if (ix < 0x00100000)
+ /* raise underflow for subnormal x */
+ FORCE_EVAL((float)x);
+ return x;
+ }
+ id = -1;
+ } else {
+ x = fabs(x);
+ if (ix < 0x3ff30000) { /* |x| < 1.1875 */
+ if (ix < 0x3fe60000) { /* 7/16 <= |x| < 11/16 */
+ id = 0;
+ x = (2.0 * x - 1.0) / (2.0 + x);
+ } else { /* 11/16 <= |x| < 19/16 */
+ id = 1;
+ x = (x - 1.0) / (x + 1.0);
+ }
+ } else {
+ if (ix < 0x40038000) { /* |x| < 2.4375 */
+ id = 2;
+ x = (x - 1.5) / (1.0 + 1.5 * x);
+ } else { /* 2.4375 <= |x| < 2^66 */
+ id = 3;
+ x = -1.0 / 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] + w * (aT[6] + w * (aT[8] + w * aT[10])))));
+ s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9]))));
+ if (id < 0)
+ return x - x * (s1 + s2);
+ z = atanhi[id] - (x * (s1 + s2) - atanlo[id] - x);
+ return sign ? -z : z;
}

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