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// Compute an approximate Voronoi Diagram with a Jump Flooding Algorithm (JFA) | |
// | |
// References | |
// http://en.wikipedia.org/wiki/Voronoi_diagram | |
// http://www.comp.nus.edu.sg/~tants/jfa.html | |
// http://www.utdallas.edu/~guodongrong/Papers/Dissertation.pdf | |
// | |
// Thanks to David Coeurjolly for contributing this example | |
// minFunctor | |
// Tuple = <seeds,seeds + k,seeds + m*k, seeds - k, | |
// seeds - m*k, seeds+ k+m*k,seeds + k-m*k, | |
// seeds- k+m*k,seeds - k+m*k, i> | |
struct minFunctor | |
{ | |
int m, n, k; | |
__host__ __device__ | |
minFunctor(int m, int n, int k) | |
: m(m), n(n), k(k) {} | |
//To decide I have to change my current Voronoi site | |
__host__ __device__ | |
int minVoro(int x_i, int y_i, int p, int q) | |
{ | |
if (q == m*n) | |
return p; | |
// coordinates of points p and q | |
int y_q = q / m; | |
int x_q = q - y_q * m; | |
int y_p = p / m; | |
int x_p = p - y_p * m; | |
// squared distances | |
int d_iq = (x_i-x_q) * (x_i-x_q) + (y_i-y_q) * (y_i-y_q); | |
int d_ip = (x_i-x_p) * (x_i-x_p) + (y_i-y_p) * (y_i-y_p); | |
if (d_iq < d_ip) | |
return q; // q is closer | |
else | |
return p; | |
} | |
//For each point p+{-k,0,k}, we keep the Site with minimum distance | |
template <typename Tuple> | |
__host__ __device__ | |
int operator()(const Tuple &t) | |
{ | |
//Current point and site | |
int i = thrust::get<9>(t); | |
int v = thrust::get<0>(t); | |
//Current point coordinates | |
int y = i / m; | |
int x = i - y * m; | |
if (x >= k) | |
{ | |
v = minVoro(x, y, v, thrust::get<3>(t)); | |
if (y >= k) | |
v = minVoro(x, y, v, thrust::get<8>(t)); | |
if (y + k < n) | |
v = minVoro(x, y, v, thrust::get<7>(t)); | |
} | |
if (x + k < m) | |
{ | |
v = minVoro(x, y, v, thrust::get<1>(t)); | |
if (y >= k) | |
v = minVoro(x, y, v, thrust::get<6>(t)); | |
if (y + k < n) | |
v = minVoro(x, y, v, thrust::get<5>(t)); | |
} | |
if (y >= k) | |
v = minVoro(x, y, v, thrust::get<4>(t)); | |
if (y + k < n) | |
v = minVoro(x, y, v, thrust::get<2>(t)); | |
//global return | |
return v; | |
} | |
}; | |
// print an M-by-N array | |
template <typename T> | |
void print(int m, int n, const thrust::device_vector<T>& d_data) | |
{ | |
thrust::host_vector<T> h_data = d_data; | |
for(int i = 0; i < m; i++) | |
{ | |
for(int j = 0; j < n; j++) | |
std::cout << std::setw(4) << h_data[i * n + j] << " "; | |
std::cout << "\n"; | |
} | |
} | |
void generate_random_sites(thrust::host_vector<int> &t, int Nb, int m, int n) | |
{ | |
thrust::default_random_engine rng; | |
thrust::uniform_int_distribution<int> dist(0, m * n - 1); | |
for(int k = 0; k < Nb; k++) | |
{ | |
int index = dist(rng); | |
t[index] = index + 1; | |
} | |
} | |
//Export the tab to PGM image format | |
void vector_to_pgm(thrust::host_vector<int> &t, int m, int n, const char *out) | |
{ | |
assert(static_cast<int>(t.size()) == m * n && | |
"Vector size does not match image dims."); | |
std::fstream f(out, std::fstream::out); | |
f << "P2\n"; | |
f << m << " " << n << "\n"; | |
f << "253\n"; | |
//Hash function to map values to [0,255] | |
auto to_grey_level = [](int in_value) -> int | |
{ | |
return (71 * in_value) % 253; | |
}; | |
for (int value : t) | |
{ | |
f << to_grey_level(value) << " "; | |
} | |
f << "\n"; | |
f.close(); | |
} | |
/************Main Jfa loop********************/ | |
// Perform a jump with step k | |
void jfa(thrust::device_vector<int>& in,thrust::device_vector<int>& out, unsigned int k, int m, int n) | |
{ | |
thrust::transform( | |
thrust::make_zip_iterator( | |
thrust::make_tuple(in.begin(), | |
in.begin() + k, | |
in.begin() + m*k, | |
in.begin() - k, | |
in.begin() - m*k, | |
in.begin() + k+m*k, | |
in.begin() + k-m*k, | |
in.begin() - k+m*k, | |
in.begin() - k-m*k, | |
thrust::counting_iterator<int>(0))), | |
thrust::make_zip_iterator( | |
thrust::make_tuple(in.begin(), | |
in.begin() + k, | |
in.begin() + m*k, | |
in.begin() - k, | |
in.begin() - m*k, | |
in.begin() + k+m*k, | |
in.begin() + k-m*k, | |
in.begin() - k+m*k, | |
in.begin() - k-m*k, | |
thrust::counting_iterator<int>(0)))+ n*m, | |
out.begin(), | |
minFunctor(m,n,k)); | |
} | |
/********************************************/ | |
void display_time(timer& t) | |
{ | |
std::cout << " ( "<< 1e3 * t.elapsed() << "ms )" << std::endl; | |
} | |
int main(void) | |
{ | |
int m = 2048; // number of rows | |
int n = 2048; // number of columns | |
int s = 1000; // number of sites | |
timer t; | |
//Host vector to encode a 2D image | |
std::cout << "[Inititialize " << m << "x" << n << " Image]" << std::endl; | |
t.restart(); | |
thrust::host_vector<int> seeds_host(m*n, m*n); | |
generate_random_sites(seeds_host,s,m,n); | |
display_time(t); | |
std::cout<<"[Copy to Device]" << std::endl; | |
t.restart(); | |
thrust::device_vector<int> seeds = seeds_host; | |
thrust::device_vector<int> temp(seeds); | |
display_time(t); | |
//JFA+1 : before entering the log(n) loop, we perform a jump with k=1 | |
std::cout<<"[JFA stepping]" << std::endl; | |
t.restart(); | |
jfa(seeds,temp,1,m,n); | |
seeds.swap(temp); | |
//JFA : main loop with k=n/2, n/4, ..., 1 | |
for(int k = thrust::max(m,n) / 2; k > 0; k /= 2) | |
{ | |
jfa(seeds,temp,k,m,n); | |
seeds.swap(temp); | |
} | |
display_time(t); | |
std::cout <<" ( " << seeds.size() / (1e6 * t.elapsed()) << " MPixel/s ) " << std::endl; | |
std::cout << "[Device to Host Copy]" << std::endl; | |
t.restart(); | |
seeds_host = seeds; | |
display_time(t); | |
std::cout << "[PGM Export]" << std::endl; | |
t.restart(); | |
vector_to_pgm(seeds_host, m, n, "discrete_voronoi.pgm"); | |
display_time(t); | |
return 0; | |
} | |