__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
* 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 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
#include "libm.h"
/* INDENT OFF */
/*
* void __k_sincosf(double x, float *s, float *c);
* kernel (float) sincos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
* Input x is in double and assumed to be bounded by ~pi/4 in magnitude.
*
* Method: Let z = x * x, then
* S(x) = x(S0 + S1*z)(S2 + S3*z + z*z)
* C(x) = (C0 + C1*z + C2*z*z) * (C3 + C4*z + z*z)
* where
* S0 = 1.85735322054308378716204874632872525989806770558e-0003
* S1 = -1.95035094218403635082921458859320791358115801259e-0004
* S2 = 5.38400550766074785970952495168558701485841707252e+0002
* S3 = -3.31975110777873728964197739157371509422022905947e+0001
* C0 = 1.09349482127188401868272000389539985058873853699e-0003
* C1 = -5.03324285989964979398034700054920226866107675091e-0004
* C2 = 2.43792880266971107750418061559602239831538067410e-0005
* C3 = 9.14499072605666582228127405245558035523741471271e+0002
* C4 = -3.63151270591815439197122504991683846785293207730e+0001
*
* The remez error in S is bound by |(sin(x) - S(x))/x| < 2**(-28.2)
* The remez error in C is bound by |cos(x) - C(x)| < 2**(-34.2)
*
* Constants:
* The hexadecimal values are the intended ones for the following constants.
* The decimal values may be used, provided that the compiler will convert
* from decimal to binary accurately enough to produce the hexadecimal values
* shown.
*/
/* INDENT ON */
static const double q[] = {
/* S0 = */ 1.85735322054308378716204874632872525989806770558e-0003,
/* S1 = */ -1.95035094218403635082921458859320791358115801259e-0004,
/* S2 = */ 5.38400550766074785970952495168558701485841707252e+0002,
/* S3 = */ -3.31975110777873728964197739157371509422022905947e+0001,
/* C0 = */ 1.09349482127188401868272000389539985058873853699e-0003,
/* C1 = */ -5.03324285989964979398034700054920226866107675091e-0004,
/* C2 = */ 2.43792880266971107750418061559602239831538067410e-0005,
/* C3 = */ 9.14499072605666582228127405245558035523741471271e+0002,
/* C4 = */ -3.63151270591815439197122504991683846785293207730e+0001,
};
#define S0 q[0]
#define S1 q[1]
#define S2 q[2]
#define S3 q[3]
#define C0 q[4]
#define C1 q[5]
#define C2 q[6]
#define C3 q[7]
#define C4 q[8]
void
__k_sincosf(double x, float *s, float *c) {
double z;
int hx;
/* small argument */
*s = (float) x; *c = (float) 1;
if ((int) x == 0) /* raise inexact if x != 0 */
return;
}
z = x * x;
}