sincos.c
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上传日期:2007-01-17
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- /* sincos.c - math routines */
- /* Copyright 1992-1993 Wind River Systems, Inc. */
- /*
- modification history
- --------------------
- 01f,05feb93,jdi doc changes based on kdl review.
- 01e,02dec92,jdi doc tweaks.
- 01d,28oct92,jdi documentation cleanup.
- 01c,21sep92,smb changed function headers for mg.
- 01b,20sep92,smb documentation additions
- 01a,08jul92,smb documentation.
- */
- /*
- DESCRIPTION
- * Copyright (c) 1987 Regents of the University of California.
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms are permitted
- * provided that the above copyright notice and this paragraph are
- * duplicated in all such forms and that any documentation,
- * advertising materials, and other materials related to such
- * distribution and use acknowledge that the software was developed
- * by the University of California, Berkeley. The name of the
- * University may not be used to endorse or promote products derived
- * from this software without specific prior written permission.
- * THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR
- * IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
- * WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE.
- *
- * All recipients should regard themselves as participants in an ongoing
- * research project and hence should feel obligated to report their
- * experiences (good or bad) with these elementary function codes, using
- * the sendbug(8) program, to the authors.
- *
- SEE ALSO: American National Standard X3.159-1989
- NOMANUAL
- */
- #include "vxWorks.h"
- #include "math.h"
- #include "private/trigP.h"
- /*******************************************************************************
- *
- * sin - compute a sine (ANSI)
- *
- * This routine computes the sine of <x> in double precision.
- * The angle <x> is expressed in radians.
- *
- * INCLUDE FILES: math.h
- *
- * RETURNS: The double-precision sine of <x>.
- *
- * SEE ALSO: mathALib
- */
- double sin
- (
- double x /* angle in radians */
- )
- {
- double a,c,z;
- if(!finite(x)) /* sin(NaN) and sin(INF) must be NaN */
- return x-x;
- x=drem(x,PI2); /* reduce x into [-PI,PI] */
- a=copysign(x,one);
- if (a >= PIo4) {
- if(a >= PI3o4) /* ... in [3PI/4,PI] */
- x = copysign((a = PI-a),x);
- else { /* ... in [PI/4,3PI/4] */
- a = PIo2-a; /* rtn. sign(x)*C(PI/2-|x|) */
- z = a*a;
- c = cos__C(z);
- z *= half;
- a = (z >= thresh ? half-((z-half)-c) : one-(z-c));
- return copysign(a,x);
- }
- }
- if (a < small) { /* rtn. S(x) */
- big+a;
- return x;
- }
- return x+x*sin__S(x*x);
- }
- /*******************************************************************************
- *
- * cos - compute a cosine (ANSI)
- *
- * This routine computes the cosine of <x> in double precision.
- * The angle <x> is expressed in radians.
- *
- * INCLUDE FILES: math.h
- *
- * RETURNS: The double-precision cosine of <x>.
- *
- * SEE ALSO: mathALib
- */
- double cos
- (
- double x /* angle in radians */
- )
- {
- double a,c,z,s = 1.0;
- if(!finite(x)) /* cos(NaN) and cos(INF) must be NaN */
- return x-x;
- x=drem(x,PI2); /* reduce x into [-PI,PI] */
- a=copysign(x,one);
- if (a >= PIo4) {
- if (a >= PI3o4) { /* ... in [3PI/4,PI] */
- a = PI-a;
- s = negone;
- }
- else { /* ... in [PI/4,3PI/4] */
- a = PIo2-a;
- return a+a*sin__S(a*a); /* rtn. S(PI/2-|x|) */
- }
- }
- if (a < small) {
- big+a;
- return s; /* rtn. s*C(a) */
- }
- z = a*a;
- c = cos__C(z);
- z *= half;
- a = (z >= thresh ? half-((z-half)-c) : one-(z-c));
- return copysign(a,s);
- }