%--------------------------
 % @Author: Jingqiao Hu
 % @Date: 2021-12-08 20:00:42
 % @LastEditTime: 2021-12-11 20:22:12

 % [t1,t2,t3, x, y, len, sin(theta)]
%--------------------------
function [MMCs, nc_local] = MMC_init_cvt(t, vnodes_cell, vedges_cell)

    ncvt = size(vnodes_cell, 1);
    nc_local = zeros(ncvt, 1);

    MMCs = cell(ncvt, 1); % saves all properties, [t1,t2,t3,x, y, len, sin(theta)]

    for ele = 1 : ncvt
        nodes = vnodes_cell{ele};
        edges = vedges_cell{ele};

        nedges = size(edges, 1);
        nc_local(ele) = nedges;
        
        % the other props
        nodes1 = nodes(edges(:, 1), :);
        nodes2 = nodes(edges(:, 2), :);

        nodes3 = (nodes1 + nodes2) / 2;
        x = nodes3(:,1);
        y = nodes3(:,2);

        len = vecnorm(nodes2 - nodes1, 2, 2);

        sina = abs(nodes2(:,2) - nodes1(:,2)) ./ len;
        dir = (nodes2(:,2) < nodes1(:,2)) .* (nodes2(:,1) < nodes1(:,1)) + ...
              (nodes2(:,2) > nodes1(:,2)) .* (nodes2(:,1) > nodes1(:,1));
        sina(dir < 1) = -sina(dir < 1); 
        
        mmc_prop = zeros(nedges, 7); 
        mmc_prop(:, 1:3) = t;
        mmc_prop(:, 4) = x;
        mmc_prop(:, 5) = y;
        mmc_prop(:, 6) = len/2;
        mmc_prop(:, 7) = sina;
        
        MMCs{ele} = mmc_prop;
    end 
end