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#define native_log2 log2
#define native_cos cos
#ifdef KHR_DP_EXTENSION
#pragma OPENCL EXTENSION cl_khr_fp64 : enable
#else
#pragma OPENCL EXTENSION cl_amd_fp64 : enable
#endif
__kernel void calculate(__global uchar4 * mandelbrotImage, const double posx, const double posy, const double stepSizeX, const double stepSizeY, const uint maxIterations, const int width)
{
//printf("%f, %f, %f, %f, %u, %d", posx, posy, stepSizeX, stepSizeY, maxIterations, width);
int tid = get_global_id(0);
int i = tid % (width / 4);
int j = tid / (width / 4);
int4 veci = {4 * i, 4 * i + 1, 4 * i + 2, 4 * i + 3};
int4 vecj = {j, j, j, j};
double4 x0;
x0.s0 = (double)(posx + stepSizeX * (double)veci.s0);
x0.s1 = (double)(posx + stepSizeX * (double)veci.s1);
x0.s2 = (double)(posx + stepSizeX * (double)veci.s2);
x0.s3 = (double)(posx + stepSizeX * (double)veci.s3);
double4 y0;
y0.s0 = (double)(posy + stepSizeY * (double)vecj.s0);
y0.s1 = (double)(posy + stepSizeY * (double)vecj.s1);
y0.s2 = (double)(posy + stepSizeY * (double)vecj.s2);
y0.s3 = (double)(posy + stepSizeY * (double)vecj.s3);
double4 x = x0;
double4 y = y0;
uint iter=0;
double4 tmp;
int4 stay;
int4 ccount = 0;
stay.s0 = (x.s0 * x.s0 + y.s0 * y.s0) <= 4.0;
stay.s1 = (x.s1 * x.s1 + y.s1 * y.s1) <= 4.0;
stay.s2 = (x.s2 * x.s2 + y.s2 * y.s2) <= 4.0;
stay.s3 = (x.s3 * x.s3 + y.s3 * y.s3) <= 4.0;
double4 savx = x;
double4 savy = y;
for(iter=0; (stay.s0 | stay.s1 | stay.s2 | stay.s3) && (iter < maxIterations); iter+= 16)
{
x = savx;
y = savy;
// Two iterations
tmp = MUL_ADD(-y, y, MUL_ADD(x, x, x0)); // tmp = x * x + x0 - y * y;
y = MUL_ADD(2.0 * x, y, y0); //y = 2.0 * x * y + y0;
x = MUL_ADD(-y, y, MUL_ADD(tmp, tmp, x0));// x = tmp * tmp + x0 - y * y;
y = MUL_ADD(2.0 * tmp, y, y0); //y = 2.0 * tmp * y + y0;
// Two iterations
tmp = MUL_ADD(-y, y, MUL_ADD(x, x, x0));
y = MUL_ADD(2.0 * x, y, y0);
x = MUL_ADD(-y, y, MUL_ADD(tmp, tmp, x0));
y = MUL_ADD(2.0 * tmp, y, y0);
// Two iterations
tmp = MUL_ADD(-y, y, MUL_ADD(x, x, x0));
y = MUL_ADD(2.0 * x, y, y0);
x = MUL_ADD(-y, y, MUL_ADD(tmp, tmp, x0));
y = MUL_ADD(2.0 * tmp, y, y0);
// Two iterations
tmp = MUL_ADD(-y, y, MUL_ADD(x, x, x0));
y = MUL_ADD(2.0 * x, y, y0);
x = MUL_ADD(-y, y, MUL_ADD(tmp, tmp, x0));
y = MUL_ADD(2.0 * tmp, y, y0);
// Two iterations
tmp = MUL_ADD(-y, y, MUL_ADD(x, x, x0));
y = MUL_ADD(2.0 * x, y, y0);
x = MUL_ADD(-y, y, MUL_ADD(tmp, tmp, x0));
y = MUL_ADD(2.0 * tmp, y, y0);
// Two iterations
tmp = MUL_ADD(-y, y, MUL_ADD(x, x, x0));
y = MUL_ADD(2.0 * x, y, y0);
x = MUL_ADD(-y, y, MUL_ADD(tmp, tmp, x0));
y = MUL_ADD(2.0 * tmp, y, y0);
// Two iterations
tmp = MUL_ADD(-y, y, MUL_ADD(x, x, x0));
y = MUL_ADD(2.0 * x, y, y0);
x = MUL_ADD(-y, y, MUL_ADD(tmp, tmp, x0));
y = MUL_ADD(2.0 * tmp, y, y0);
// Two iterations
tmp = MUL_ADD(-y, y, MUL_ADD(x, x, x0));
y = MUL_ADD(2.0 * x, y, y0);
x = MUL_ADD(-y, y, MUL_ADD(tmp, tmp, x0));
y = MUL_ADD(2.0 * tmp, y, y0);
stay.s0 = (x.s0 * x.s0 + y.s0 * y.s0) <= 4.0;
stay.s1 = (x.s1 * x.s1 + y.s1 * y.s1) <= 4.0;
stay.s2 = (x.s2 * x.s2 + y.s2 * y.s2) <= 4.0;
stay.s3 = (x.s3 * x.s3 + y.s3 * y.s3) <= 4.0;
savx.s0 = (stay.s0 ? x.s0 : savx.s0);
savx.s1 = (stay.s1 ? x.s1 : savx.s1);
savx.s2 = (stay.s2 ? x.s2 : savx.s2);
savx.s3 = (stay.s3 ? x.s3 : savx.s3);
savy.s0 = (stay.s0 ? y.s0 : savy.s0);
savy.s1 = (stay.s1 ? y.s1 : savy.s1);
savy.s2 = (stay.s2 ? y.s2 : savy.s2);
savy.s3 = (stay.s3 ? y.s3 : savy.s3);
ccount += stay*16;
}
// Handle remainder
if (!(stay.s0 & stay.s1 & stay.s2 & stay.s3))
{
iter = 16;
do
{
x = savx;
y = savy;
stay.s0 = ((x.s0 * x.s0 + y.s0 * y.s0) <= 4.0) &&
(ccount.s0 < maxIterations);
stay.s1 = ((x.s1 * x.s1 + y.s1 * y.s1) <= 4.0) &&
(ccount.s1 < maxIterations);
stay.s2 = ((x.s2 * x.s2 + y.s2 * y.s2) <= 4.0) &&
(ccount.s2 < maxIterations);
stay.s3 = ((x.s3 * x.s3 + y.s3 * y.s3) <= 4.0) &&
(ccount.s3 < maxIterations);
tmp = x;
x = MUL_ADD(-y, y, MUL_ADD(x, x, x0));
y = MUL_ADD(2.0 * tmp, y, y0); //y = 2.0 * tmp * y + y0;
ccount += stay;
iter--;
savx.s0 = (stay.s0 ? x.s0 : savx.s0);
savx.s1 = (stay.s1 ? x.s1 : savx.s1);
savx.s2 = (stay.s2 ? x.s2 : savx.s2);
savx.s3 = (stay.s3 ? x.s3 : savx.s3);
savy.s0 = (stay.s0 ? y.s0 : savy.s0);
savy.s1 = (stay.s1 ? y.s1 : savy.s1);
savy.s2 = (stay.s2 ? y.s2 : savy.s2);
savy.s3 = (stay.s3 ? y.s3 : savy.s3);
} while ((stay.s0 | stay.s1 | stay.s2 | stay.s3) && iter);
}
x = savx;
y = savy;
double4 fc = convert_double4(ccount);
fc.s0 = (double)ccount.s0 + 1 -
native_log2(native_log2(x.s0 * x.s0 + y.s0 * y.s0));
fc.s1 = (double)ccount.s1 + 1 -
native_log2(native_log2(x.s1 * x.s1 + y.s1 * y.s1));
fc.s2 = (double)ccount.s2 + 1 -
native_log2(native_log2(x.s2 * x.s2 + y.s2 * y.s2));
fc.s3 = (double)ccount.s3 + 1 -
native_log2(native_log2(x.s3 * x.s3 + y.s3 * y.s3));
double c = fc.s0 * 2.0 * 3.1416 / 256.0;
uchar4 color[4];
color[0].s0 = ((1.0 + native_cos(c)) * 0.5) * 255;
color[0].s1 = ((1.0 + native_cos(2.0 * c + 2.0 * 3.1416 / 3.0)) * 0.5) * 255;
color[0].s2 = ((1.0 + native_cos(c - 2.0 * 3.1416 / 3.0)) * 0.5) * 255;
color[0].s3 = 0xff;
if (ccount.s0 == maxIterations)
{
color[0].s0 = 0;
color[0].s1 = 0;
color[0].s2 = 0;
}
mandelbrotImage[4 * tid] = color[0];
c = fc.s1 * 2.0 * 3.1416 / 256.0;
color[1].s0 = ((1.0 + native_cos(c)) * 0.5) * 255;
color[1].s1 = ((1.0 + native_cos(2.0 * c + 2.0 * 3.1416 / 3.0)) * 0.5) * 255;
color[1].s2 = ((1.0 + native_cos(c - 2.0 * 3.1416 / 3.0)) * 0.5) * 255;
color[1].s3 = 0xff;
if (ccount.s1 == maxIterations)
{
color[1].s0 = 0;
color[1].s1 = 0;
color[1].s2 = 0;
}
mandelbrotImage[4 * tid + 1] = color[1];
c = fc.s2 * 2.0 * 3.1416 / 256.0;
color[2].s0 = ((1.0 + native_cos(c)) * 0.5) * 255;
color[2].s1 = ((1.0 + native_cos(2.0 * c + 2.0 * 3.1416 / 3.0)) * 0.5) * 255;
color[2].s2 = ((1.0 + native_cos(c - 2.0 * 3.1416 / 3.0)) * 0.5) * 255;
color[2].s3 = 0xff;
if (ccount.s2 == maxIterations)
{
color[2].s0 = 0;
color[2].s1 = 0;
color[2].s2 = 0;
}
mandelbrotImage[4 * tid + 2] = color[2];
c = fc.s3 * 2.0 * 3.1416 / 256.0;
color[3].s0 = ((1.0 + native_cos(c)) * 0.5) * 255;
color[3].s1 = ((1.0 + native_cos(2.0 * c + 2.0 * 3.1416 / 3.0)) * 0.5) * 255;
color[3].s2 = ((1.0 + native_cos(c - 2.0 * 3.1416 / 3.0)) * 0.5) * 255;
color[3].s3 = 0xff;
if (ccount.s3 == maxIterations)
{
color[3].s0 = 0;
color[3].s1 = 0;
color[3].s2 = 0;
}
mandelbrotImage[4 * tid + 3] = color[3];
}
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