micropython/lib/libm/kf_sin.c

/*
 * This file is part of the MicroPython project, http://micropython.org/
 *
 * These math functions are taken from newlib-nano-2, the newlib/libm/math
 * directory, available from https://github.com/32bitmicro/newlib-nano-2.
 *
 * Appropriate copyright headers are reproduced below.
 */

/* kf_sin.c -- float version of k_sin.c
 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
 */

/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice 
 * is preserved.
 * ====================================================
 */

#include "fdlibm.h"

#ifdef __STDC__
static const float 
#else
static float 
#endif
half =  5.0000000000e-01,/* 0x3f000000 */
S1  = -1.6666667163e-01, /* 0xbe2aaaab */
S2  =  8.3333337680e-03, /* 0x3c088889 */
S3  = -1.9841270114e-04, /* 0xb9500d01 */
S4  =  2.7557314297e-06, /* 0x3638ef1b */
S5  = -2.5050759689e-08, /* 0xb2d72f34 */
S6  =  1.5896910177e-10; /* 0x2f2ec9d3 */

#ifdef __STDC__
	float __kernel_sinf(float x, float y, int iy)
#else
	float __kernel_sinf(x, y, iy)
	float x,y; int iy;		/* iy=0 if y is zero */
#endif
{
	float z,r,v;
	__int32_t ix;
	GET_FLOAT_WORD(ix,x);
	ix &= 0x7fffffff;			/* high word of x */
	if(ix<0x32000000)			/* |x| < 2**-27 */
	   {if((int)x==0) return x;}		/* generate inexact */
	z	=  x*x;
	v	=  z*x;
	r	=  S2+z*(S3+z*(S4+z*(S5+z*S6)));
	if(iy==0) return x+v*(S1+z*r);
	else      return x-((z*(half*y-v*r)-y)-v*S1);
}