| /*- |
| * 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 <math.h> |
| #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* p_sin, double* p_cos) { |
| 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* p_sinf, float* p_cosf) { |
| 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* p_sinl, long double* p_cosl) { |
| *psin = sin(x); |
| *pcos = cos(x); |
| } |
