diff options
Diffstat (limited to 'usr/src/lib/libm/common/R/__sincosf.c')
-rw-r--r-- | usr/src/lib/libm/common/R/__sincosf.c | 101 |
1 files changed, 101 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/R/__sincosf.c b/usr/src/lib/libm/common/R/__sincosf.c new file mode 100644 index 0000000000..89c12eeab9 --- /dev/null +++ b/usr/src/lib/libm/common/R/__sincosf.c @@ -0,0 +1,101 @@ +/* + * 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 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; + + hx = ((int *) &x)[HIWORD]; /* hx = leading x */ + /* small argument */ + if ((hx & ~0x80000000) < 0x3f100000) { /* if |x| < 2**-14 */ + *s = (float) x; *c = (float) 1; + if ((int) x == 0) /* raise inexact if x != 0 */ + return; + } + z = x * x; + *s = (float) ((x * (S0 + z * S1)) * (S2 + z * (S3 + z))); + *c = (float) (((C0 + z * C1) + (z * z) * C2) * (C3 + z * (C4 + z))); +} |