25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * CDDL HEADER START
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The contents of this file are subject to the terms of the
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Common Development and Distribution License (the "License").
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * You may not use this file except in compliance with the License.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * or http://www.opensolaris.org/os/licensing.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * See the License for the specific language governing permissions
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * and limitations under the License.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * When distributing Covered Code, include this CDDL HEADER in each
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * If applicable, add the following below this CDDL HEADER, with the
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * fields enclosed by brackets "[]" replaced with your own identifying
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * information: Portions Copyright [yyyy] [name of copyright owner]
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * CDDL HEADER END
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Use is subject to license terms.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* INDENT OFF */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * void __k_sincosf(double x, float *s, float *c);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * kernel (float) sincos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Input x is in double and assumed to be bounded by ~pi/4 in magnitude.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Method: Let z = x * x, then
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * S(x) = x(S0 + S1*z)(S2 + S3*z + z*z)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * C(x) = (C0 + C1*z + C2*z*z) * (C3 + C4*z + z*z)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * S0 = 1.85735322054308378716204874632872525989806770558e-0003
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * S1 = -1.95035094218403635082921458859320791358115801259e-0004
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * S2 = 5.38400550766074785970952495168558701485841707252e+0002
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * S3 = -3.31975110777873728964197739157371509422022905947e+0001
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * C0 = 1.09349482127188401868272000389539985058873853699e-0003
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * C1 = -5.03324285989964979398034700054920226866107675091e-0004
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * C2 = 2.43792880266971107750418061559602239831538067410e-0005
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * C3 = 9.14499072605666582228127405245558035523741471271e+0002
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * C4 = -3.63151270591815439197122504991683846785293207730e+0001
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The remez error in S is bound by |(sin(x) - S(x))/x| < 2**(-28.2)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The remez error in C is bound by |cos(x) - C(x)| < 2**(-34.2)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The hexadecimal values are the intended ones for the following constants.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The decimal values may be used, provided that the compiler will convert
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * from decimal to binary accurately enough to produce the hexadecimal values
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* INDENT ON */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisstatic const double q[] = {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* S0 = */ 1.85735322054308378716204874632872525989806770558e-0003,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* S1 = */ -1.95035094218403635082921458859320791358115801259e-0004,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* S2 = */ 5.38400550766074785970952495168558701485841707252e+0002,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* S3 = */ -3.31975110777873728964197739157371509422022905947e+0001,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* C0 = */ 1.09349482127188401868272000389539985058873853699e-0003,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* C1 = */ -5.03324285989964979398034700054920226866107675091e-0004,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* C2 = */ 2.43792880266971107750418061559602239831538067410e-0005,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* C3 = */ 9.14499072605666582228127405245558035523741471271e+0002,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/* C4 = */ -3.63151270591815439197122504991683846785293207730e+0001,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis__k_sincosf(double x, float *s, float *c) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis hx = ((int *) &x)[HIWORD]; /* hx = leading x */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis /* small argument */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((hx & ~0x80000000) < 0x3f100000) { /* if |x| < 2**-14 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *s = (float) x; *c = (float) 1;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis if ((int) x == 0) /* raise inexact if x != 0 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *s = (float) ((x * (S0 + z * S1)) * (S2 + z * (S3 + z)));
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis *c = (float) (((C0 + z * C1) + (z * z) * C2) * (C3 + z * (C4 + z)));