//vectorize = +;
//serialize = _ , 1 : +;
//concat = * ;
//nth = / ;


concat1 = case {
	(1) => _, 1 : vectorize ;
	(m) => concat1(m - 1), ( _, 1 : vectorize) : #;
};
 
concat2 = case {
	(1, m) => concat1(m), 1 : vectorize;
	(n, m) => concat2(n - 1, m), (concat1(m), 1 : vectorize) : #;
}; 

make_input_matrix(n, m) = _, m : vectorize : _, n : vectorize ;

make_output_matrix(n, m) = concat2(n, m);

accumulate_vector(k) = _ <: sum(i, k, ( _, i : []));

get_column(k, j) = _ <: par(p, k, ( _, p : [] : _, j : [])) : concat1(k);

get_line(i) = _, i : [];

make_line(i, k, m) = par(j, m, ( get_line(i), get_column(k, j) : * : accumulate_vector(k)));

multiply(n, k, m) = par(i, n, make_line(i, k, m));

matrix_mul(n, k, m) = make_input_matrix(n, k), make_input_matrix(k, m) <: multiply(n, k, m) : make_output_matrix(n, m);

matrix_output(n, m) = _ <: par(i, n, ( _, i : []));

matrix_mul_square(n) = matrix_mul(n, n, n) : matrix_output(n, n);

process = matrix_mul_square(10);