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11210 libm should be cstyle(1ONBLD) clean
@@ -16,62 +16,68 @@
* fields enclosed by brackets "[]" replaced with your own identifying
* information: Portions Copyright [yyyy] [name of copyright owner]
*
* CDDL HEADER END
*/
+
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
+
/*
* Copyright 2005 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
#pragma weak __sin = sin
-/* INDENT OFF */
+
/*
* sin(x)
* Accurate Table look-up algorithm by K.C. Ng, May, 1995.
*
* Algorithm: see sincos.c
*/
#include "libm.h"
static const double sc[] = {
-/* ONE = */ 1.0,
+/* ONE = */
+ 1.0,
/* NONE = */ -1.0,
+
/*
* |sin(x) - (x+pp1*x^3+pp2*x^5)| <= 2^-58.79 for |x| < 0.008
*/
-/* PP1 = */ -0.166666666666316558867252052378889521480627858683055567,
-/* PP2 = */ .008333315652997472323564894248466758248475374977974017927,
+/* PP1 = */-0.166666666666316558867252052378889521480627858683055567,
+/* PP2 = */.008333315652997472323564894248466758248475374977974017927,
+
/*
* |(sin(x) - (x+p1*x^3+...+p4*x^9)|
* |------------------------------ | <= 2^-57.63 for |x| < 0.1953125
* | x |
*/
/* P1 = */ -1.666666666666629669805215138920301589656e-0001,
/* P2 = */ 8.333333332390951295683993455280336376663e-0003,
/* P3 = */ -1.984126237997976692791551778230098403960e-0004,
/* P4 = */ 2.753403624854277237649987622848330351110e-0006,
+
/*
* |cos(x) - (1+qq1*x^2+qq2*x^4)| <= 2^-55.99 for |x| <= 0.008 (0x3f80624d)
*/
-/* QQ1 = */ -0.4999999999975492381842911981948418542742729,
-/* QQ2 = */ 0.041666542904352059294545209158357640398771740,
+/* QQ1 = */-0.4999999999975492381842911981948418542742729,
+/* QQ2 = */0.041666542904352059294545209158357640398771740,
/* PI_H = */ 3.1415926535897931159979634685,
/* PI_L = */ 1.22464679914735317722606593227425e-16,
/* PI_L0 = */ 1.22464679914558443311283879205095e-16,
/* PI_L1 = */ 1.768744113227140223300005233735517376e-28,
/* PI2_H = */ 6.2831853071795862319959269370,
/* PI2_L = */ 2.44929359829470635445213186454850e-16,
/* PI2_L0 = */ 2.44929359829116886622567758410190e-16,
/* PI2_L1 = */ 3.537488226454280446600010467471034752e-28,
};
-/* INDENT ON */
+
#define ONEA sc
#define ONE sc[0]
#define NONE sc[1]
#define PP1 sc[2]
@@ -92,11 +98,12 @@
#define PI2_L1 sc[17]
extern const double _TBL_sincos[], _TBL_sincosx[];
double
-sin(double x) {
+sin(double x)
+{
double z, y[2], w, s, v, p, q;
int i, j, n, hx, ix, lx;
hx = ((int *)&x)[HIWORD];
lx = ((int *)&x)[LOWORD];
@@ -104,80 +111,97 @@
if (ix <= 0x3fc50000) { /* |x| < .1640625 */
if (ix < 0x3e400000) /* |x| < 2**-27 */
if ((int)x == 0)
return (x);
+
z = x * x;
+
if (ix < 0x3f800000) /* |x| < 2**-8 */
w = (z * x) * (PP1 + z * PP2);
else
w = (x * z) * ((P1 + z * P2) + (z * z) * (P3 + z * P4));
+
return (x + w);
}
/* for .1640625 < x < M, */
n = ix >> 20;
+
if (n < 0x402) { /* x < 8 */
i = (((ix >> 12) & 0xff) | 0x100) >> (0x401 - n);
j = i - 10;
x = fabs(x);
v = x - _TBL_sincosx[j];
+
if (((j - 181) ^ (j - 201)) < 0) {
/* near pi, sin(x) = sin(pi-x) */
p = PI_H - x;
i = ix - 0x400921fb;
x = p + PI_L;
+
if ((i | ((lx - 0x54442D00) & 0xffffff00)) == 0) {
/* very close to pi */
x = p + PI_L0;
- return ((hx >= 0)? x + PI_L1 : -(x + PI_L1));
+ return ((hx >= 0) ? x + PI_L1 : -(x + PI_L1));
}
+
z = x * x;
+
if (((ix - 0x40092000) >> 11) == 0) {
/* |pi-x|<2**-8 */
w = PI_L + (z * x) * (PP1 + z * PP2);
} else {
- w = PI_L + (z * x) * ((P1 + z * P2) +
- (z * z) * (P3 + z * P4));
+ w = PI_L + (z * x) * ((P1 + z * P2) + (z * z) *
+ (P3 + z * P4));
}
- return ((hx >= 0)? p + w : -p - w);
+
+ return ((hx >= 0) ? p + w : -p - w);
}
+
s = v * v;
+
if (((j - 382) ^ (j - 402)) < 0) {
/* near 2pi, sin(x) = sin(x-2pi) */
p = x - PI2_H;
i = ix - 0x401921fb;
x = p - PI2_L;
+
if ((i | ((lx - 0x54442D00) & 0xffffff00)) == 0) {
/* very close to 2pi */
x = p - PI2_L0;
- return ((hx >= 0)? x - PI2_L1 : -(x - PI2_L1));
+ return ((hx >= 0) ? x - PI2_L1 : -(x - PI2_L1));
}
+
z = x * x;
+
if (((ix - 0x40192000) >> 10) == 0) {
/* |x-2pi|<2**-8 */
w = (z * x) * (PP1 + z * PP2) - PI2_L;
} else {
- w = (z * x) * ((P1 + z * P2) +
- (z * z) * (P3 + z * P4)) - PI2_L;
+ w = (z * x) * ((P1 + z * P2) + (z * z) * (P3 +
+ z * P4)) - PI2_L;
}
- return ((hx >= 0)? p + w : -p - w);
+
+ return ((hx >= 0) ? p + w : -p - w);
}
+
j <<= 1;
- w = _TBL_sincos[j+1];
+ w = _TBL_sincos[j + 1];
z = _TBL_sincos[j];
p = v + (v * s) * (PP1 + s * PP2);
q = s * (QQ1 + s * QQ2);
v = w * p + z * q;
- return ((hx >= 0)? z + v : -z - v);
+ return ((hx >= 0) ? z + v : -z - v);
}
if (ix >= 0x7ff00000) /* sin(Inf or NaN) is NaN */
return (x / x);
/* argument reduction needed */
n = __rem_pio2(x, y);
+
switch (n & 3) {
case 0:
return (__k_sin(y[0], y[1]));
case 1:
return (__k_cos(y[0], y[1]));