import("fft.lib");
import("fft2d.lib");

DILATION_MIN = 0;
EROSION_MAX = 255;

strel_shift_dilation = DILATION_MIN : vectorize(1);
strel_shift_erosion = EROSION_MAX : vectorize(1);

spray_by_three(n) = _ <: par(i, n, ([i], [i+1], [i+2]));

tri_max = max, _ : max;
tri_maxs(n) = par(i, n, tri_max);
tri_min = min, _ : min;
tri_mins(n) = par(i, n, tri_min);

dilating(n) = strel_shift_dilation, _, strel_shift_dilation : #, _ : # : spray_by_three(n) : tri_maxs(n) : nconcat(n); // vector io
eroding(n) = strel_shift_erosion, _, strel_shift_erosion : #, _ : # : spray_by_three(n) : tri_mins(n) : nconcat(n); // vector io

dilation_line(x, y) = serialize : dilating(x) : vectorize(y); // matrix io
erosion_line(x, y) = serialize : eroding(x) : vectorize(y); // matrix io

dilation_column(x, y) = matrix_transpose(y, x) : serialize : dilating(y) : vectorize(x) : matrix_transpose(x, y); 
erosion_column(x, y) = matrix_transpose(y, x) : serialize : eroding(y) : vectorize(x) : matrix_transpose(x, y); 

dilation_square(x, y) = dilation_line(x, y) : dilation_column(x, y); 
erosion_square(x, y) = erosion_line(x, y) : erosion_column(x, y); 

cross = _, _ <: !, _, _, !;

dilations_line(x, y, iter) = _ : (iter, ((cross : ((0, 1 : prefix), _, _ : select2) : dilation_line(x, y))~_), (iter - 1)) : rdtable;

erosions_line(x, y, iter) = _ : (iter, ((cross : ((0, 1 : prefix), _, _ : select2) : erosion_line(x, y))~_), (iter - 1)) : rdtable;

dilations_column(x, y, iter) = _ : (iter, ((cross : ((0, 1 : prefix), _, _ : select2) : dilation_column(x, y))~_), (iter - 1)) : rdtable;

erosions_column(x, y, iter) = _ : (iter, ((cross : ((0, 1 : prefix), _, _ : select2) : erosion_column(x, y))~_), (iter - 1)) : rdtable;

dilations_square(x, y, iter) = _ : (iter, ((cross : ((0, 1 : prefix), _, _ : select2) : dilation_square(x, y))~_), (iter - 1)) : rdtable;

erosions_square(x, y, iter) = _ : (iter, ((cross : ((0, 1 : prefix), _, _ : select2) : erosion_square(x, y))~_), (iter - 1)) : rdtable;

opening_line(x, y, iter) = erosions_line(x, y, iter) : dilations_line(x, y, iter);
closing_line(x, y, iter) = dilations_line(x, y, iter) : erosions_line(x, y, iter);

opening_column(x, y, iter) = erosions_column(x, y, iter) : dilations_column(x, y, iter);
closing_column(x, y, iter) = dilations_column(x, y, iter) : erosions_column(x, y, iter);

opening_square(x, y, iter) = erosions_square(x, y, iter) : dilations_square(x, y, iter);
closing_square(x, y, iter) = dilations_square(x, y, iter) : erosions_square(x, y, iter);

threshold(x, y, low, high) = _ <: (_, (low : vectorize(x) : vectorize(y)) : >), (_, (high : vectorize(x) : vectorize(y)) : <) : &;

mask_adjusting(x, y, o7, o8, d9, d10) = opening_column(x, y, o7) : opening_line(x, y, o8) : dilations_square(x, y, d9) : dilations_line(x, y, d10);

licenceplate(x, y, o1, c2, t3, t4, t5, t6, o7, o8, d9, d10) = vectorize(y) <: (opening_line(x, y, o1), closing_line(x, y, c2) : threshold(x, y, t3, t4), threshold(x, y, t5, t6) : & : mask_adjusting(x, y, o7, o8, d9, d10)), _ : * : serialize;

//process = dilations_line(8, 8, 3);
//process = erosions(8, 8, 3);
//process = open(8, 8, 2);
//process = close(8, 8, 5);
//process = licenceplate(4, 4, 1, 4, 1, 50, 150, 255, 1, 1, 5, 20);