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Unified Diff: fusl/src/math/atanl.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/atanl.c
diff --git a/fusl/src/math/atanl.c b/fusl/src/math/atanl.c
index 79a3edb805a093c0e4a78df4685975e64201d178..cefd9374338ee92e14b50083a83f2534523c50f5 100644
--- a/fusl/src/math/atanl.c
+++ b/fusl/src/math/atanl.c
@@ -17,168 +17,175 @@
#include "libm.h"
#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
-long double atanl(long double x)
-{
- return atan(x);
+long double atanl(long double x) {
+ return atan(x);
}
#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
#if LDBL_MANT_DIG == 64
-#define EXPMAN(u) ((u.i.se & 0x7fff)<<8 | (u.i.m>>55 & 0xff))
+#define EXPMAN(u) ((u.i.se & 0x7fff) << 8 | (u.i.m >> 55 & 0xff))
static const long double atanhi[] = {
- 4.63647609000806116202e-01L,
- 7.85398163397448309628e-01L,
- 9.82793723247329067960e-01L,
- 1.57079632679489661926e+00L,
+ 4.63647609000806116202e-01L, 7.85398163397448309628e-01L,
+ 9.82793723247329067960e-01L, 1.57079632679489661926e+00L,
};
static const long double atanlo[] = {
- 1.18469937025062860669e-20L,
- -1.25413940316708300586e-20L,
- 2.55232234165405176172e-20L,
- -2.50827880633416601173e-20L,
+ 1.18469937025062860669e-20L, -1.25413940316708300586e-20L,
+ 2.55232234165405176172e-20L, -2.50827880633416601173e-20L,
};
static const long double aT[] = {
- 3.33333333333333333017e-01L,
- -1.99999999999999632011e-01L,
- 1.42857142857046531280e-01L,
- -1.11111111100562372733e-01L,
- 9.09090902935647302252e-02L,
- -7.69230552476207730353e-02L,
- 6.66661718042406260546e-02L,
- -5.88158892835030888692e-02L,
- 5.25499891539726639379e-02L,
- -4.70119845393155721494e-02L,
- 4.03539201366454414072e-02L,
- -2.91303858419364158725e-02L,
- 1.24822046299269234080e-02L,
+ 3.33333333333333333017e-01L, -1.99999999999999632011e-01L,
+ 1.42857142857046531280e-01L, -1.11111111100562372733e-01L,
+ 9.09090902935647302252e-02L, -7.69230552476207730353e-02L,
+ 6.66661718042406260546e-02L, -5.88158892835030888692e-02L,
+ 5.25499891539726639379e-02L, -4.70119845393155721494e-02L,
+ 4.03539201366454414072e-02L, -2.91303858419364158725e-02L,
+ 1.24822046299269234080e-02L,
};
-static long double T_even(long double x)
-{
- return aT[0] + x * (aT[2] + x * (aT[4] + x * (aT[6] +
- x * (aT[8] + x * (aT[10] + x * aT[12])))));
+static long double T_even(long double x) {
+ return aT[0] +
+ x * (aT[2] +
+ x * (aT[4] +
+ x * (aT[6] + x * (aT[8] + x * (aT[10] + x * aT[12])))));
}
-static long double T_odd(long double x)
-{
- return aT[1] + x * (aT[3] + x * (aT[5] + x * (aT[7] +
- x * (aT[9] + x * aT[11]))));
+static long double T_odd(long double x) {
+ return aT[1] +
+ x * (aT[3] + x * (aT[5] + x * (aT[7] + x * (aT[9] + x * aT[11]))));
}
#elif LDBL_MANT_DIG == 113
-#define EXPMAN(u) ((u.i.se & 0x7fff)<<8 | u.i.top>>8)
+#define EXPMAN(u) ((u.i.se & 0x7fff) << 8 | u.i.top >> 8)
const long double atanhi[] = {
- 4.63647609000806116214256231461214397e-01L,
- 7.85398163397448309615660845819875699e-01L,
- 9.82793723247329067985710611014666038e-01L,
- 1.57079632679489661923132169163975140e+00L,
+ 4.63647609000806116214256231461214397e-01L,
+ 7.85398163397448309615660845819875699e-01L,
+ 9.82793723247329067985710611014666038e-01L,
+ 1.57079632679489661923132169163975140e+00L,
};
const long double atanlo[] = {
- 4.89509642257333492668618435220297706e-36L,
- 2.16795253253094525619926100651083806e-35L,
- -2.31288434538183565909319952098066272e-35L,
- 4.33590506506189051239852201302167613e-35L,
+ 4.89509642257333492668618435220297706e-36L,
+ 2.16795253253094525619926100651083806e-35L,
+ -2.31288434538183565909319952098066272e-35L,
+ 4.33590506506189051239852201302167613e-35L,
};
const long double aT[] = {
- 3.33333333333333333333333333333333125e-01L,
- -1.99999999999999999999999999999180430e-01L,
- 1.42857142857142857142857142125269827e-01L,
- -1.11111111111111111111110834490810169e-01L,
- 9.09090909090909090908522355708623681e-02L,
- -7.69230769230769230696553844935357021e-02L,
- 6.66666666666666660390096773046256096e-02L,
- -5.88235294117646671706582985209643694e-02L,
- 5.26315789473666478515847092020327506e-02L,
- -4.76190476189855517021024424991436144e-02L,
- 4.34782608678695085948531993458097026e-02L,
- -3.99999999632663469330634215991142368e-02L,
- 3.70370363987423702891250829918659723e-02L,
- -3.44827496515048090726669907612335954e-02L,
- 3.22579620681420149871973710852268528e-02L,
- -3.03020767654269261041647570626778067e-02L,
- 2.85641979882534783223403715930946138e-02L,
- -2.69824879726738568189929461383741323e-02L,
- 2.54194698498808542954187110873675769e-02L,
- -2.35083879708189059926183138130183215e-02L,
- 2.04832358998165364349957325067131428e-02L,
- -1.54489555488544397858507248612362957e-02L,
- 8.64492360989278761493037861575248038e-03L,
- -2.58521121597609872727919154569765469e-03L,
+ 3.33333333333333333333333333333333125e-01L,
+ -1.99999999999999999999999999999180430e-01L,
+ 1.42857142857142857142857142125269827e-01L,
+ -1.11111111111111111111110834490810169e-01L,
+ 9.09090909090909090908522355708623681e-02L,
+ -7.69230769230769230696553844935357021e-02L,
+ 6.66666666666666660390096773046256096e-02L,
+ -5.88235294117646671706582985209643694e-02L,
+ 5.26315789473666478515847092020327506e-02L,
+ -4.76190476189855517021024424991436144e-02L,
+ 4.34782608678695085948531993458097026e-02L,
+ -3.99999999632663469330634215991142368e-02L,
+ 3.70370363987423702891250829918659723e-02L,
+ -3.44827496515048090726669907612335954e-02L,
+ 3.22579620681420149871973710852268528e-02L,
+ -3.03020767654269261041647570626778067e-02L,
+ 2.85641979882534783223403715930946138e-02L,
+ -2.69824879726738568189929461383741323e-02L,
+ 2.54194698498808542954187110873675769e-02L,
+ -2.35083879708189059926183138130183215e-02L,
+ 2.04832358998165364349957325067131428e-02L,
+ -1.54489555488544397858507248612362957e-02L,
+ 8.64492360989278761493037861575248038e-03L,
+ -2.58521121597609872727919154569765469e-03L,
};
-static long double T_even(long double x)
-{
- return (aT[0] + x * (aT[2] + x * (aT[4] + x * (aT[6] + x * (aT[8] +
- x * (aT[10] + x * (aT[12] + x * (aT[14] + x * (aT[16] +
- x * (aT[18] + x * (aT[20] + x * aT[22])))))))))));
+static long double T_even(long double x) {
+ return (
+ aT[0] +
+ x * (aT[2] +
+ x * (aT[4] +
+ x * (aT[6] +
+ x * (aT[8] +
+ x * (aT[10] +
+ x * (aT[12] +
+ x * (aT[14] +
+ x * (aT[16] +
+ x * (aT[18] +
+ x * (aT[20] +
+ x * aT[22])))))))))));
}
-static long double T_odd(long double x)
-{
- return (aT[1] + x * (aT[3] + x * (aT[5] + x * (aT[7] + x * (aT[9] +
- x * (aT[11] + x * (aT[13] + x * (aT[15] + x * (aT[17] +
- x * (aT[19] + x * (aT[21] + x * aT[23])))))))))));
+static long double T_odd(long double x) {
+ return (
+ aT[1] +
+ x * (aT[3] +
+ x * (aT[5] +
+ x * (aT[7] +
+ x * (aT[9] +
+ x * (aT[11] +
+ x * (aT[13] +
+ x * (aT[15] +
+ x * (aT[17] +
+ x * (aT[19] +
+ x * (aT[21] +
+ x * aT[23])))))))))));
}
#endif
-long double atanl(long double x)
-{
- union ldshape u = {x};
- long double w, s1, s2, z;
- int id;
- unsigned e = u.i.se & 0x7fff;
- unsigned sign = u.i.se >> 15;
- unsigned expman;
+long double atanl(long double x) {
+ union ldshape u = {x};
+ long double w, s1, s2, z;
+ int id;
+ unsigned e = u.i.se & 0x7fff;
+ unsigned sign = u.i.se >> 15;
+ unsigned expman;
- if (e >= 0x3fff + LDBL_MANT_DIG + 1) { /* if |x| is large, atan(x)~=pi/2 */
- if (isnan(x))
- return x;
- return sign ? -atanhi[3] : atanhi[3];
- }
- /* Extract the exponent and the first few bits of the mantissa. */
- expman = EXPMAN(u);
- if (expman < ((0x3fff - 2) << 8) + 0xc0) { /* |x| < 0.4375 */
- if (e < 0x3fff - (LDBL_MANT_DIG+1)/2) { /* if |x| is small, atanl(x)~=x */
- /* raise underflow if subnormal */
- if (e == 0)
- FORCE_EVAL((float)x);
- return x;
- }
- id = -1;
- } else {
- x = fabsl(x);
- if (expman < (0x3fff << 8) + 0x30) { /* |x| < 1.1875 */
- if (expman < ((0x3fff - 1) << 8) + 0x60) { /* 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 (expman < ((0x3fff + 1) << 8) + 0x38) { /* |x| < 2.4375 */
- id = 2;
- x = (x-1.5)/(1.0+1.5*x);
- } else { /* 2.4375 <= |x| */
- id = 3;
- x = -1.0/x;
- }
- }
- }
- /* end of argument reduction */
- z = x*x;
- w = z*z;
- /* break sum aT[i]z**(i+1) into odd and even poly */
- s1 = z*T_even(w);
- s2 = w*T_odd(w);
- if (id < 0)
- return x - x*(s1+s2);
- z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
- return sign ? -z : z;
+ if (e >= 0x3fff + LDBL_MANT_DIG + 1) { /* if |x| is large, atan(x)~=pi/2 */
+ if (isnan(x))
+ return x;
+ return sign ? -atanhi[3] : atanhi[3];
+ }
+ /* Extract the exponent and the first few bits of the mantissa. */
+ expman = EXPMAN(u);
+ if (expman < ((0x3fff - 2) << 8) + 0xc0) { /* |x| < 0.4375 */
+ if (e <
+ 0x3fff - (LDBL_MANT_DIG + 1) / 2) { /* if |x| is small, atanl(x)~=x */
+ /* raise underflow if subnormal */
+ if (e == 0)
+ FORCE_EVAL((float)x);
+ return x;
+ }
+ id = -1;
+ } else {
+ x = fabsl(x);
+ if (expman < (0x3fff << 8) + 0x30) { /* |x| < 1.1875 */
+ if (expman < ((0x3fff - 1) << 8) + 0x60) { /* 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 (expman < ((0x3fff + 1) << 8) + 0x38) { /* |x| < 2.4375 */
+ id = 2;
+ x = (x - 1.5) / (1.0 + 1.5 * x);
+ } else { /* 2.4375 <= |x| */
+ id = 3;
+ x = -1.0 / x;
+ }
+ }
+ }
+ /* end of argument reduction */
+ z = x * x;
+ w = z * z;
+ /* break sum aT[i]z**(i+1) into odd and even poly */
+ s1 = z * T_even(w);
+ s2 = w * T_odd(w);
+ if (id < 0)
+ return x - x * (s1 + s2);
+ z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x);
+ return sign ? -z : z;
}
#endif
« fusl/arch/aarch64/atomic_arch.h ('K') | « fusl/src/math/atanhl.c ('k') | fusl/src/math/cbrt.c » ('j') | no next file with comments »

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