diff options
Diffstat (limited to 'usr/src/lib/libm/common/R/__cosf.c')
-rw-r--r-- | usr/src/lib/libm/common/R/__cosf.c | 86 |
1 files changed, 86 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/R/__cosf.c b/usr/src/lib/libm/common/R/__cosf.c new file mode 100644 index 0000000000..c17cc00b7f --- /dev/null +++ b/usr/src/lib/libm/common/R/__cosf.c @@ -0,0 +1,86 @@ +/* + * 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 */ +/* + * float __k_cos(double x); + * kernel (float) cos 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 + * 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 + * + * The remez error 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[] = { +/* C0 = */ 1.09349482127188401868272000389539985058873853699e-0003, +/* C1 = */ -5.03324285989964979398034700054920226866107675091e-0004, +/* C2 = */ 2.43792880266971107750418061559602239831538067410e-0005, +/* C3 = */ 9.14499072605666582228127405245558035523741471271e+0002, +/* C4 = */ -3.63151270591815439197122504991683846785293207730e+0001, +}; + +#define C0 q[0] +#define C1 q[1] +#define C2 q[2] +#define C3 q[3] +#define C4 q[4] + +float +__k_cosf(double x) { + float ft; + double z; + int hx; + + hx = ((int *) &x)[HIWORD]; /* hx = leading x */ + if ((hx & ~0x80000000) < 0x3f100000) { /* |x| < 2**-14 */ + ft = (float) 1; + if (((int) x) == 0) /* raise inexact if x != 0 */ + return (ft); + } + z = x * x; + ft = (float) (((C0 + z * C1) + (z * z) * C2) * (C3 + z * (C4 + z))); + return (ft); +} |