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11210 libm should be cstyle(1ONBLD) clean
*** 16,36 ****
* 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 __sincos = sincos
- /* INDENT OFF */
/*
* sincos(x,s,c)
* Accurate Table look-up algorithm by K.C. Ng, 2000.
*
* 1. Reduce x to x>0 by cos(-x)=cos(x), sin(-x)=-sin(x).
--- 16,37 ----
* 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 __sincos = sincos
/*
* sincos(x,s,c)
* Accurate Table look-up algorithm by K.C. Ng, 2000.
*
* 1. Reduce x to x>0 by cos(-x)=cos(x), sin(-x)=-sin(x).
*** 89,120 ****
* TRIG(x) returns trig(x) nearly rounded (less than 1 ulp)
*/
#include "libm.h"
static const double sc[] = {
! /* 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,
/*
* |(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,
/* Q1 = */ -0.5,
/* Q2 = */ 4.166666666500350703680945520860748617445e-0002,
/* Q3 = */ -1.388888596436972210694266290577848696006e-0003,
/* Q4 = */ 2.478563078858589473679519517892953492192e-0005,
/* PIO2_H = */ 1.570796326794896557999,
--- 90,126 ----
* TRIG(x) returns trig(x) nearly rounded (less than 1 ulp)
*/
#include "libm.h"
+ /* BEGIN CSTYLED */
static const double sc[] = {
! /* 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,
!
/*
* |(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,
/* Q1 = */ -0.5,
/* Q2 = */ 4.166666666500350703680945520860748617445e-0002,
/* Q3 = */ -1.388888596436972210694266290577848696006e-0003,
/* Q4 = */ 2.478563078858589473679519517892953492192e-0005,
/* PIO2_H = */ 1.570796326794896557999,
*** 136,146 ****
/* PI5O2_H = */ 7.853981633974482789995,
/* PI5O2_L = */ 3.061616997868382943065e-16,
/* PI5O2_L0 = */ 3.061616997861941598865e-16,
/* PI5O2_L1 = */ 6.441344200433640781982e-28,
};
! /* INDENT ON */
#define ONE sc[0]
#define PP1 sc[2]
#define PP2 sc[3]
#define P1 sc[4]
--- 142,152 ----
/* PI5O2_H = */ 7.853981633974482789995,
/* PI5O2_L = */ 3.061616997868382943065e-16,
/* PI5O2_L0 = */ 3.061616997861941598865e-16,
/* PI5O2_L1 = */ 6.441344200433640781982e-28,
};
! /* END CSTYLED */
#define ONE sc[0]
#define PP1 sc[2]
#define PP2 sc[3]
#define P1 sc[4]
*** 172,187 ****
#define PI5O2_H sc[30]
#define PI5O2_L sc[31]
#define PI5O2_L0 sc[32]
#define PI5O2_L1 sc[33]
#define PoS(x, z) ((x * z) * (PP1 + z * PP2))
! #define PoL(x, z) ((x * z) * ((P1 + z * P2) + (z * z) * (P3 + z * P4)))
extern const double _TBL_sincos[], _TBL_sincosx[];
void
! sincos(double x, double *s, double *c) {
double z, y[2], w, t, v, p, q;
int i, j, n, hx, ix, lx;
hx = ((int *)&x)[HIWORD];
lx = ((int *)&x)[LOWORD];
--- 178,195 ----
#define PI5O2_H sc[30]
#define PI5O2_L sc[31]
#define PI5O2_L0 sc[32]
#define PI5O2_L1 sc[33]
#define PoS(x, z) ((x * z) * (PP1 + z * PP2))
! #define PoL(x, z) ((x * z) * ((P1 + z * P2) + (z * z) * \
! (P3 + z * P4)))
extern const double _TBL_sincos[], _TBL_sincosx[];
void
! sincos(double x, double *s, double *c)
! {
double z, y[2], w, t, v, p, q;
int i, j, n, hx, ix, lx;
hx = ((int *)&x)[HIWORD];
lx = ((int *)&x)[LOWORD];
*** 189,357 ****
if (ix <= 0x3fc50000) { /* |x| < 10.5/64 = 0.164062500 */
if (ix < 0x3e400000) { /* |x| < 2**-27 */
if ((int)x == 0)
*c = ONE;
*s = x;
} else {
z = x * x;
if (ix < 0x3f800000) { /* |x| < 0.008 */
q = z * (QQ1 + z * QQ2);
p = PoS(x, z);
} else {
! q = z * ((Q1 + z * Q2) + (z * z) *
! (Q3 + z * Q4));
p = PoL(x, z);
}
*c = ONE + q;
*s = x + p;
}
return;
}
n = ix >> 20;
i = (((ix >> 12) & 0xff) | 0x100) >> (0x401 - n);
j = i - 10;
if (n < 0x402) { /* |x| < 8 */
x = fabs(x);
v = x - _TBL_sincosx[j];
t = v * v;
! w = _TBL_sincos[(j<<1)];
! z = _TBL_sincos[(j<<1)+1];
p = v + PoS(v, t);
q = t * (QQ1 + t * QQ2);
! if ((((j - 81) ^ (j - 101)) |
! ((j - 282) ^ (j - 302)) |
! ((j - 483) ^ (j - 503)) |
! ((j - 181) ^ (j - 201)) |
! ((j - 382) ^ (j - 402))) < 0) {
if (j <= 101) {
/* near pi/2, cos(x) = sin(pi/2-x) */
t = w * q + z * p;
! *s = (hx >= 0)? w + t : -w - t;
p = PIO2_H - x;
i = ix - 0x3ff921fb;
x = p + PIO2_L;
! if ((i | ((lx - 0x54442D00) &
! 0xffffff00)) == 0) {
/* very close to pi/2 */
x = p + PIO2_L0;
*c = x + PIO2_L1;
} else {
z = x * x;
if (((ix - 0x3ff92000) >> 12) == 0) {
/* |pi/2-x|<2**-8 */
w = PIO2_L + PoS(x, z);
} else {
w = PIO2_L + PoL(x, z);
}
*c = p + w;
}
} else if (j <= 201) {
/* near pi, sin(x) = sin(pi-x) */
*c = z - (w * p - z * q);
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;
! *s = (hx >= 0)? x + PI_L1 :
! -(x + PI_L1);
} else {
z = x * x;
if (((ix - 0x40092000) >> 11) == 0) {
/* |pi-x|<2**-8 */
w = PI_L + PoS(x, z);
} else {
w = PI_L + PoL(x, z);
}
! *s = (hx >= 0)? p + w : -p - w;
}
} else if (j <= 302) {
/* near 3/2pi, cos(x)=sin(x-3/2pi) */
t = w * q + z * p;
! *s = (hx >= 0)? w + t : -w - t;
p = x - PI3O2_H;
i = ix - 0x4012D97C;
x = p - PI3O2_L;
! if ((i | ((lx - 0x7f332100) &
! 0xffffff00)) == 0) {
/* very close to 3/2pi */
x = p - PI3O2_L0;
*c = x - PI3O2_L1;
} else {
z = x * x;
if (((ix - 0x4012D800) >> 9) == 0) {
/* |3/2pi-x|<2**-8 */
w = PoS(x, z) - PI3O2_L;
} else {
w = PoL(x, z) - PI3O2_L;
}
*c = p + w;
}
} else if (j <= 402) {
/* near 2pi, sin(x)=sin(x-2pi) */
*c = z - (w * p - z * q);
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;
! *s = (hx >= 0)? x - PI2_L1 :
! -(x - PI2_L1);
} else {
z = x * x;
if (((ix - 0x40192000) >> 10) == 0) {
/* |x-2pi|<2**-8 */
w = PoS(x, z) - PI2_L;
} else {
w = PoL(x, z) - PI2_L;
}
! *s = (hx >= 0)? p + w : -p - w;
}
} else {
/* near 5pi/2, cos(x) = sin(5pi/2-x) */
t = w * q + z * p;
! *s = (hx >= 0)? w + t : -w - t;
p = PI5O2_H - x;
i = ix - 0x401F6A7A;
x = p + PI5O2_L;
! if ((i | ((lx - 0x29553800) &
! 0xffffff00)) == 0) {
/* very close to pi/2 */
x = p + PI5O2_L0;
*c = x + PI5O2_L1;
} else {
z = x * x;
if (((ix - 0x401F6A7A) >> 7) == 0) {
/* |5pi/2-x|<2**-8 */
w = PI5O2_L + PoS(x, z);
} else {
w = PI5O2_L + PoL(x, z);
}
*c = p + w;
}
}
} else {
*c = z - (w * p - z * q);
t = w * q + z * p;
! *s = (hx >= 0)? w + t : -w - t;
}
return;
}
if (ix >= 0x7ff00000) {
*s = *c = x / x;
return;
}
/* argument reduction needed */
n = __rem_pio2(x, y);
switch (n & 3) {
case 0:
*s = __k_sincos(y[0], y[1], c);
break;
case 1:
--- 197,386 ----
if (ix <= 0x3fc50000) { /* |x| < 10.5/64 = 0.164062500 */
if (ix < 0x3e400000) { /* |x| < 2**-27 */
if ((int)x == 0)
*c = ONE;
+
*s = x;
} else {
z = x * x;
+
if (ix < 0x3f800000) { /* |x| < 0.008 */
q = z * (QQ1 + z * QQ2);
p = PoS(x, z);
} else {
! q = z * ((Q1 + z * Q2) + (z * z) * (Q3 + z *
! Q4));
p = PoL(x, z);
}
+
*c = ONE + q;
*s = x + p;
}
+
return;
}
n = ix >> 20;
i = (((ix >> 12) & 0xff) | 0x100) >> (0x401 - n);
j = i - 10;
+
if (n < 0x402) { /* |x| < 8 */
x = fabs(x);
v = x - _TBL_sincosx[j];
t = v * v;
! w = _TBL_sincos[(j << 1)];
! z = _TBL_sincos[(j << 1) + 1];
p = v + PoS(v, t);
q = t * (QQ1 + t * QQ2);
!
! if ((((j - 81) ^ (j - 101)) | ((j - 282) ^ (j - 302)) | ((j -
! 483) ^ (j - 503)) | ((j - 181) ^ (j - 201)) | ((j - 382) ^
! (j - 402))) < 0) {
if (j <= 101) {
/* near pi/2, cos(x) = sin(pi/2-x) */
t = w * q + z * p;
! *s = (hx >= 0) ? w + t : -w - t;
p = PIO2_H - x;
i = ix - 0x3ff921fb;
x = p + PIO2_L;
!
! if ((i | ((lx - 0x54442D00) & 0xffffff00)) ==
! 0) {
/* very close to pi/2 */
x = p + PIO2_L0;
*c = x + PIO2_L1;
} else {
z = x * x;
+
if (((ix - 0x3ff92000) >> 12) == 0) {
/* |pi/2-x|<2**-8 */
w = PIO2_L + PoS(x, z);
} else {
w = PIO2_L + PoL(x, z);
}
+
*c = p + w;
}
} else if (j <= 201) {
/* near pi, sin(x) = sin(pi-x) */
*c = z - (w * p - z * q);
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;
! *s = (hx >= 0) ? x + PI_L1 : -(x +
! PI_L1);
} else {
z = x * x;
+
if (((ix - 0x40092000) >> 11) == 0) {
/* |pi-x|<2**-8 */
w = PI_L + PoS(x, z);
} else {
w = PI_L + PoL(x, z);
}
!
! *s = (hx >= 0) ? p + w : -p - w;
}
} else if (j <= 302) {
/* near 3/2pi, cos(x)=sin(x-3/2pi) */
t = w * q + z * p;
! *s = (hx >= 0) ? w + t : -w - t;
p = x - PI3O2_H;
i = ix - 0x4012D97C;
x = p - PI3O2_L;
!
! if ((i | ((lx - 0x7f332100) & 0xffffff00)) ==
! 0) {
/* very close to 3/2pi */
x = p - PI3O2_L0;
*c = x - PI3O2_L1;
} else {
z = x * x;
+
if (((ix - 0x4012D800) >> 9) == 0) {
/* |3/2pi-x|<2**-8 */
w = PoS(x, z) - PI3O2_L;
} else {
w = PoL(x, z) - PI3O2_L;
}
+
*c = p + w;
}
} else if (j <= 402) {
/* near 2pi, sin(x)=sin(x-2pi) */
*c = z - (w * p - z * q);
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;
! *s = (hx >= 0) ? x - PI2_L1 : -(x -
! PI2_L1);
} else {
z = x * x;
+
if (((ix - 0x40192000) >> 10) == 0) {
/* |x-2pi|<2**-8 */
w = PoS(x, z) - PI2_L;
} else {
w = PoL(x, z) - PI2_L;
}
!
! *s = (hx >= 0) ? p + w : -p - w;
}
} else {
/* near 5pi/2, cos(x) = sin(5pi/2-x) */
t = w * q + z * p;
! *s = (hx >= 0) ? w + t : -w - t;
p = PI5O2_H - x;
i = ix - 0x401F6A7A;
x = p + PI5O2_L;
!
! if ((i | ((lx - 0x29553800) & 0xffffff00)) ==
! 0) {
/* very close to pi/2 */
x = p + PI5O2_L0;
*c = x + PI5O2_L1;
} else {
z = x * x;
+
if (((ix - 0x401F6A7A) >> 7) == 0) {
/* |5pi/2-x|<2**-8 */
w = PI5O2_L + PoS(x, z);
} else {
w = PI5O2_L + PoL(x, z);
}
+
*c = p + w;
}
}
} else {
*c = z - (w * p - z * q);
t = w * q + z * p;
! *s = (hx >= 0) ? w + t : -w - t;
}
+
return;
}
if (ix >= 0x7ff00000) {
*s = *c = x / x;
return;
}
/* argument reduction needed */
n = __rem_pio2(x, y);
+
switch (n & 3) {
case 0:
*s = __k_sincos(y[0], y[1], c);
break;
case 1: