/*- * Copyright (c) 2010 The Android Open Source Project * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. * */ #define _GNU_SOURCE 1 #include #define INLINE_KERNEL_COSDF #define INLINE_KERNEL_SINDF #include "src/math_private.h" #include "src/k_cosf.c" #include "src/k_sinf.c" /* Small multiples of pi/2 rounded to double precision. */ static const double s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ /* For implementation details, see src/s_sin.c, src/s_cos.c */ void sincos(double x, double *psin, double *pcos) { double y[2], z=0.0; int32_t n, ix; /* High word of x. */ GET_HIGH_WORD(ix, x); /* |x| ~< pi/4 */ ix &= 0x7fffffff; if(ix <= 0x3fe921fb) { if(ix < 0x3e400000) { /* \x\ < 2**-27 */ if((int)x==0) { /* generate inexact */ *psin = x; *pcos = 1.0; return; } } *psin = __kernel_sin(x, z, 0); *pcos = __kernel_cos(x, z); return; } else if(ix>=0x7ff00000) { /* sin(Inf or NaN) and cos(Inf or NaN) is NaN */ *psin = *pcos = x-x; return; } else { n = __ieee754_rem_pio2(x, y); switch(n&3) { case 0: *psin = __kernel_sin(y[0],y[1],1); *pcos = __kernel_cos(y[0],y[1]); return; case 1: *psin = __kernel_cos(y[0],y[1]); *pcos = -__kernel_sin(y[0],y[1],1); return; case 2: *psin = -__kernel_sin(y[0],y[1],1); *pcos = -__kernel_cos(y[0],y[1]); return; default: *psin = -__kernel_cos(y[0],y[1]); *pcos = __kernel_sin(y[0],y[1],1); return; } } } /* For implementation details, see src/s_sinf.c, src/s_cosf.c */ void sincosf(float x, float *psin, float *pcos) { float y[2]; int32_t n, hx, ix; GET_FLOAT_WORD(hx, x); ix = hx & 0x7fffffff; if(ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ if(ix < 0x39800000) { /* |x| < 2**-12 */ if(((int)x)==0) { /* x with inexact if x != 0 */ *psin = x; *pcos = 1.0; return; } } *psin = __kernel_sindf(x); *pcos = __kernel_cosdf(x); return; } else if(ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ if(ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ if(hx>0) { *psin = __kernel_cosdf(x - s1pio2); *pcos = __kernel_sindf(s1pio2 - x); return; } else { *psin = -__kernel_cosdf(x + s1pio2); *pcos = __kernel_sindf(x + s1pio2); return; } } else { *psin = __kernel_sindf((hx > 0 ? s2pio2 : -s2pio2) - x); *pcos = -__kernel_cosdf(x + (hx > 0 ? -s2pio2 : s2pio2)); return; } } else if(ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ if(ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ if(hx>0) { *psin = -__kernel_cosdf(x - s3pio2); *pcos = __kernel_sindf(x - s3pio2); return; } else { *psin = __kernel_cosdf(x + s3pio2); *pcos = __kernel_sindf(-s3pio2 - x); return; } } else { *psin = __kernel_sindf(x + (hx > 0 ? -s4pio2 : s4pio2)); *pcos = __kernel_cosdf(x + (hx > 0 ? -s4pio2 : s4pio2)); return; } } else if(ix>=0x7f800000) { /* sin and cos (Inf or NaN) is NaN */ *psin = *pcos = x-x; return; } else { n = __ieee754_rem_pio2f(x,y); switch(n&3) { case 0: *psin = __kernel_sindf((double)y[0]+y[1]); *pcos = __kernel_cosdf((double)y[0]+y[1]); return; case 1: *psin = __kernel_cosdf((double)y[0]+y[1]); *pcos = __kernel_sindf(-(double)y[0]-y[1]); return; case 2: *psin = __kernel_sindf(-(double)y[0]-y[1]); *pcos = -__kernel_cosdf((double)y[0]+y[1]); return; default: *psin = -__kernel_cosdf((double)y[0]+y[1]); *pcos = __kernel_sindf((double)y[0]+y[1]); return; } } } void sincosl(long double x, long double *psin, long double *pcos) { *psin = sin(x); *pcos = cos(x); }