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Unified Diff: fusl/src/math/__tan.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/__tan.c
diff --git a/fusl/src/math/__tan.c b/fusl/src/math/__tan.c
index 8019844d3bc2dac0916290ecb5c05a63e8b7ffc8..543ac8723661f6e5a1d245aa7dfe1eaba122d32c 100644
--- a/fusl/src/math/__tan.c
+++ b/fusl/src/math/__tan.c
@@ -12,7 +12,8 @@
* kernel tan function on ~[-pi/4, pi/4] (except on -0), pi/4 ~ 0.7854
* Input x is assumed to be bounded by ~pi/4 in magnitude.
* Input y is the tail of x.
- * Input odd indicates whether tan (if odd = 0) or -1/tan (if odd = 1) is returned.
+ * Input odd indicates whether tan (if odd = 0) or -1/tan (if odd = 1) is
+ * returned.
*
* Algorithm
* 1. Since tan(-x) = -tan(x), we need only to consider positive x.
@@ -45,66 +46,67 @@
#include "libm.h"
-static const double T[] = {
- 3.33333333333334091986e-01, /* 3FD55555, 55555563 */
- 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */
- 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */
- 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */
- 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */
- 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */
- 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */
- 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */
- 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */
- 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */
- 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */
- -1.85586374855275456654e-05, /* BEF375CB, DB605373 */
- 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */
+static const double T[] =
+ {
+ 3.33333333333334091986e-01, /* 3FD55555, 55555563 */
+ 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */
+ 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */
+ 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */
+ 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */
+ 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */
+ 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */
+ 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */
+ 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */
+ 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */
+ 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */
+ -1.85586374855275456654e-05, /* BEF375CB, DB605373 */
+ 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */
},
-pio4 = 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */
-pio4lo = 3.06161699786838301793e-17; /* 3C81A626, 33145C07 */
+ pio4 = 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */
+ pio4lo = 3.06161699786838301793e-17; /* 3C81A626, 33145C07 */
-double __tan(double x, double y, int odd)
-{
- double_t z, r, v, w, s, a;
- double w0, a0;
- uint32_t hx;
- int big, sign;
+double __tan(double x, double y, int odd) {
+ double_t z, r, v, w, s, a;
+ double w0, a0;
+ uint32_t hx;
+ int big, sign;
- GET_HIGH_WORD(hx,x);
- big = (hx&0x7fffffff) >= 0x3FE59428; /* |x| >= 0.6744 */
- if (big) {
- sign = hx>>31;
- if (sign) {
- x = -x;
- y = -y;
- }
- x = (pio4 - x) + (pio4lo - y);
- y = 0.0;
- }
- z = x * x;
- w = z * z;
- /*
- * Break x^5*(T[1]+x^2*T[2]+...) into
- * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
- * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
- */
- r = T[1] + w*(T[3] + w*(T[5] + w*(T[7] + w*(T[9] + w*T[11]))));
- v = z*(T[2] + w*(T[4] + w*(T[6] + w*(T[8] + w*(T[10] + w*T[12])))));
- s = z * x;
- r = y + z*(s*(r + v) + y) + s*T[0];
- w = x + r;
- if (big) {
- s = 1 - 2*odd;
- v = s - 2.0 * (x + (r - w*w/(w + s)));
- return sign ? -v : v;
- }
- if (!odd)
- return w;
- /* -1.0/(x+r) has up to 2ulp error, so compute it accurately */
- w0 = w;
- SET_LOW_WORD(w0, 0);
- v = r - (w0 - x); /* w0+v = r+x */
- a0 = a = -1.0 / w;
- SET_LOW_WORD(a0, 0);
- return a0 + a*(1.0 + a0*w0 + a0*v);
+ GET_HIGH_WORD(hx, x);
+ big = (hx & 0x7fffffff) >= 0x3FE59428; /* |x| >= 0.6744 */
+ if (big) {
+ sign = hx >> 31;
+ if (sign) {
+ x = -x;
+ y = -y;
+ }
+ x = (pio4 - x) + (pio4lo - y);
+ y = 0.0;
+ }
+ z = x * x;
+ w = z * z;
+ /*
+ * Break x^5*(T[1]+x^2*T[2]+...) into
+ * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
+ * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
+ */
+ r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + w * T[11]))));
+ v = z *
+ (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + w * T[12])))));
+ s = z * x;
+ r = y + z * (s * (r + v) + y) + s * T[0];
+ w = x + r;
+ if (big) {
+ s = 1 - 2 * odd;
+ v = s - 2.0 * (x + (r - w * w / (w + s)));
+ return sign ? -v : v;
+ }
+ if (!odd)
+ return w;
+ /* -1.0/(x+r) has up to 2ulp error, so compute it accurately */
+ w0 = w;
+ SET_LOW_WORD(w0, 0);
+ v = r - (w0 - x); /* w0+v = r+x */
+ a0 = a = -1.0 / w;
+ SET_LOW_WORD(a0, 0);
+ return a0 + a * (1.0 + a0 * w0 + a0 * v);
}

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