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radix-4-float.cl~
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radix-4-float.cl~
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//#pragma OPENCL EXTENSION cl_amd_fp64 : enable
#ifndef M_PI
#define M_PI 3.14156265358979323846
#endif
#define BLK 4
inline void FFT2(float2 * v)
{
float2 v0 = v[0];
v[0] = v0 + v[1];
v[1] = v0 - v[1];
}
inline void FFT4(float2 * v,int direction)
{
float2 x = v[0];
v[0] = x + v[2];
v[2] = x - v[2];
x = v[1];
v[1] = x + v[3];
v[3] = x - v[3];
x = v[0];
v[0] = x + v[1];
v[1] = x - v[1];
x = v[2];
v[2] = (float2)(x.x + v[3].y, x.y-v[3].x);
v[3] = (float2)(x.x - v[3].y, x.y+v[3].x);
x = v[2];
v[2] = v[1];
v[1] = x;
if(direction == -1)
{
x = v[3];
v[3] = v[1];
v[1] = x;
}
}
//Stockham radix-4 fft
__kernel void fft1D(
__global float2 *a,
__global float2 *b,
int N,
int Ns,
int direction,
int offset_line)
{
//local float2 l_a[64];
int gid = get_global_id(0);
//int t = get_local_id(0);
//radix-4 fft
float2 v[4];
int idxS = gid;
float2 x;
//float2 y;
int mask = Ns -1;
float angle = -2.0 *(gid & mask)/(Ns << 2) * direction;
float s = sinpi(angle);
float c = cospi(angle);
int offset = offset_line * N;
if(Ns ==16)
printf("angle = %f t = %d 16 a[] = %f %f %f %f \n",angle,gid,a[gid].x,a[gid+16].x,a[gid+32].x,a[gid+48].x);
v[0] = a[offset +idxS];
v[1] = a[offset +idxS+ N/4];
x = v[1];
v[1] = (float2)(x.x* c- x.y* s, x.x * s + x.y * c);
//v[1].x = x.x*c -x.y*s;
//v[1].y = x.x*s +x.y*c;
v[2] = a[offset + idxS + N/2 ];
x = v[2];
//y = (float2)(2*c*c -1, 2*c*s);
float cc = 2*c*c -1;
float ss = 2*c*s;
v[2] = (float2) (x.x* cc- x.y* ss, x.x * ss + x.y * cc);
//v[2] = (float2) (x.x* (2*c*c -1)- x.y* 2*c*s, x.x * 2*c*s + x.y * (2*c*c -1));
//v[2].x = x.x * cc -x.y *ss;
//v[2].y = x.x*ss + x.y * cc;
v[3] = a[offset+idxS + 3 * N / 4];
x = v[3];
float ccc = cc*c -ss*s;
float sss = cc*s +ss*c;
//y = (float2)(c*c*c -3*s*s*c, 3 *s *c*c -s * s* s);
//v[3] = (float2) (x.x* (c*c*c -3*s*s*c)- x.y* (3 *s *c*c -s * s* s), x.x * (3 *s *c*c -s * s* s) + x.y * (c*c*c -3*s*s*c));
v[3] = (float2) (x.x* ccc- x.y* sss, x.x * sss + x.y * ccc);
//if(Ns ==16)
//printf("t = %d 16 %f %f %f %f\n",gid,v[0].x,v[1].x,v[2].x,v[3].x);
FFT4(v,direction);
int idxD = (gid / Ns)*Ns*4 + (gid & mask);
//int idxD = (t/Ns)*4 +(t & mask);
//exchange(v,idxD,Ns,t,BLK);
/*barrier(CLK_LOCAL_MEM_FENCE);
for(int r=0; r<4;r++)
{
int i = idxD +r*Ns;
l_a[i] = v[r];
}
barrier(CLK_LOCAL_MEM_FENCE);
for(int r=0; r<4;r++)
{
int i = t + r*BLK;
v[r] = l_a[i];
}
//barrier(CLK_GLOBAL_MEM_FENCE);
idxD = get_group_id(0) *4*BLK + t;*/
b[offset+ idxD ] = v[0];
b[offset+ idxD + Ns] = v[1];
b[offset + idxD + 2 * Ns] = v[2];
b[offset + idxD + 3 * Ns] = v[3];
}