sincosf.c revision 25c28e83beb90e7c80452a7c818c5e6f73a07dc8
/*
* CDDL HEADER START
*
* The contents of this file are subject to the terms of the
* Common Development and Distribution License (the "License").
* You may not use this file except in compliance with the License.
*
* You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
* or http://www.opensolaris.org/os/licensing.
* See the License for the specific language governing permissions
* and limitations under the License.
*
* When distributing Covered Code, include this CDDL HEADER in each
* file and include the License file at usr/src/OPENSOLARIS.LICENSE.
* If applicable, add the following below this CDDL HEADER, with the
* 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 sincosf = __sincosf
/* INDENT OFF */
/*
* For |x| < pi/4, let z = x * x, and approximate sin(x) by
*
* S(x) = x(S0 + S1*z)(S2 + S3*z + z*z)
* where
* S0 = 1.85735322054308378716204874632872525989806770558e-0003,
* S1 = -1.95035094218403635082921458859320791358115801259e-0004,
* S2 = 5.38400550766074785970952495168558701485841707252e+0002,
* S3 = -3.31975110777873728964197739157371509422022905947e+0001,
*
* with error bounded by |(sin(x) - S(x))/x| < 2**(-28.2), and
* cos(x) by
*
* C(x) = (C0 + C1*z + C2*z*z) * (C3 + C4*z + z*z)
* where
* C0 = 1.09349482127188401868272000389539985058873853699e-0003
* C1 = -5.03324285989964979398034700054920226866107675091e-0004
* C2 = 2.43792880266971107750418061559602239831538067410e-0005
* C3 = 9.14499072605666582228127405245558035523741471271e+0002
* C4 = -3.63151270591815439197122504991683846785293207730e+0001
*
* with error bounded by |cos(x) - C(x)| < 2**(-34.2).
*/
/* INDENT ON */
#include "libm.h"
extern const int _TBL_ipio2_inf[];
extern int __rem_pio2m(double *, double *, int, int, int, const int *);
#if defined(__i386) && !defined(__amd64)
extern int __swapRP(int);
#endif
static const double C[] = {
1.85735322054308378716204874632872525989806770558e-0003,
-1.95035094218403635082921458859320791358115801259e-0004,
5.38400550766074785970952495168558701485841707252e+0002,
-3.31975110777873728964197739157371509422022905947e+0001,
1.09349482127188401868272000389539985058873853699e-0003,
-5.03324285989964979398034700054920226866107675091e-0004,
2.43792880266971107750418061559602239831538067410e-0005,
9.14499072605666582228127405245558035523741471271e+0002,
-3.63151270591815439197122504991683846785293207730e+0001,
0.636619772367581343075535, /* 2^ -1 * 1.45F306DC9C883 */
0.5,
1.570796326734125614166, /* 2^ 0 * 1.921FB54400000 */
6.077100506506192601475e-11, /* 2^-34 * 1.0B4611A626331 */
};
#define S0 C[0]
#define S1 C[1]
#define S2 C[2]
#define S3 C[3]
#define C0 C[4]
#define C1 C[5]
#define C2 C[6]
#define C3 C[7]
#define C4 C[8]
#define invpio2 C[9]
#define half C[10]
#define pio2_1 C[11]
#define pio2_t C[12]
void
sincosf(float x, float *s, float *c)
{
double y, z, w;
float f, g;
int n, ix, hx, hy;
volatile int i;
hx = *((int *)&x);
ix = hx & 0x7fffffff;
y = (double)x;
if (ix <= 0x4016cbe4) { /* |x| < 3*pi/4 */
if (ix <= 0x3f490fdb) { /* |x| < pi/4 */
if (ix <= 0x39800000) { /* |x| <= 2**-12 */
i = (int)y;
#ifdef lint
i = i;
#endif
*s = x;
*c = 1.0f;
return;
}
z = y * y;
*s = (float)((y * (S0 + z * S1)) *
(S2 + z * (S3 + z)));
*c = (float)(((C0 + z * C1) + (z * z) * C2) *
(C3 + z * (C4 + z)));
} else if (hx > 0) {
y = (y - pio2_1) - pio2_t;
z = y * y;
*s = (float)(((C0 + z * C1) + (z * z) * C2) *
(C3 + z * (C4 + z)));
*c = (float)-((y * (S0 + z * S1)) *
(S2 + z * (S3 + z)));
} else {
y = (y + pio2_1) + pio2_t;
z = y * y;
*s = (float)-(((C0 + z * C1) + (z * z) * C2) *
(C3 + z * (C4 + z)));
*c = (float)((y * (S0 + z * S1)) *
(S2 + z * (S3 + z)));
}
return;
} else if (ix <= 0x49c90fdb) { /* |x| < 2^19*pi */
#if defined(__i386) && !defined(__amd64)
int rp;
rp = __swapRP(fp_extended);
#endif
w = y * invpio2;
if (hx < 0)
n = (int)(w - half);
else
n = (int)(w + half);
y = (y - n * pio2_1) - n * pio2_t;
#if defined(__i386) && !defined(__amd64)
if (rp != fp_extended)
(void) __swapRP(rp);
#endif
} else {
if (ix >= 0x7f800000) {
*s = *c = x / x;
return;
}
hy = ((int *)&y)[HIWORD];
n = ((hy >> 20) & 0x7ff) - 1046;
((int *)&w)[HIWORD] = (hy & 0xfffff) | 0x41600000;
((int *)&w)[LOWORD] = ((int *)&y)[LOWORD];
n = __rem_pio2m(&w, &y, n, 1, 0, _TBL_ipio2_inf);
if (hy < 0) {
y = -y;
n = -n;
}
}
z = y * y;
f = (float)((y * (S0 + z * S1)) * (S2 + z * (S3 + z)));
g = (float)(((C0 + z * C1) + (z * z) * C2) *
(C3 + z * (C4 + z)));
if (n & 2) {
f = -f;
g = -g;
}
if (n & 1) {
*s = g;
*c = -f;
} else {
*s = f;
*c = g;
}
}