%--------------------------
 % @Author: Jingqiao Hu
 % @Date: 2021-10-13 20:30:29
 % @LastEditTime: 2021-12-06 15:32:29

 % paras:
 % MMCs: [t1,t2,t3, x, y, len, sin(theta)], 7 paras
 % NOTE: for the shared edge between neighbored voronoi cells, it have different phi for different cell
%--------------------------
function [MMCs, MMCs_max, MMCs_min, MMCs_num] = generate_MMC_fromCVT(cvt_num, t0, t_max, t_min)

    % coor = [];
    % phi_global = [];
    % tri_faces_global = [];
    % idx = 1;
    
    MMCs = cell(cvt_num, 1);
    MMCs_min = cell(cvt_num, 1);
    MMCs_max = cell(cvt_num, 1);
    
    center_pnts = zeros(cvt_num,2);

    MMCs_num = 0;
    
    for i = 0:cvt_num-1
        [vor_edges_num, vor_center_pnt, vor_nodes, vor_edges] = read_voronoi(i);
        center_pnts(i+1,:) = vor_center_pnt';
        
        % [tri_pnts_num, tri_faces_num, tri_nodes, tri_faces] = read_cdt(i);

        MMCi = zeros(7,vor_edges_num);
        MMCi(1:3, :) = t0;
        
        % each_phi = cell(vor_edges_num, 1);
        % phi0 = 0;
        
        for j = 1:vor_edges_num
            n1 = vor_nodes(vor_edges(j,1)+1, :); 
            n2 = vor_nodes(vor_edges(j,2)+1, :);
            % skip too short edge
            if norm(n1 - n2) < 2e-1
                continue;
            end
            cn = (n1 + n2) / 2;
            
            MMCi(4:5, j) = cn; % [x,y]             
            MMCi(6, j) = norm(n2 - n1) / 2;
            MMCi(7, j) = abs(n2(2) - cn(2)) / norm(n2 - cn);
            if (n2(2) - cn(2))>0
                MMCi(7, j) = -MMCi(7, j);
            end
            if (n2(1) - cn(1))>0
                MMCi(7, j) = -MMCi(7, j);
            end
            
            % tmpPhi = tPhi(MMCi, tri_nodes(:,1), tri_nodes(:,2));
            % each_phi{j} = tmpPhi;
            % phi0 = phi0 + exp(p * tmpPhi);
        end               
        % phi_max = log(phi0) / p;
        % H = Heaviside_simply(phi_max, 0.07*4);

        MMCs{i+1} = MMCi;
        MMCi(1:3) = t_max;
        MMCs_max{i+1} = MMCi;
        MMCi(1:3) = t_min;
        MMCs_min{i+1} = MMCi;

        MMCs_num = MMCs_num + vor_edges_num;

        % coor = [coor; tri_nodes]; % [n,2]
        % phi_global = [phi_global; H(:)]; % [n,1]
        % tri_faces_global = [tri_faces_global; tri_faces + idx];
        % idx = idx + size(tri_nodes, 1);
        
        % figure(1); clf; trimesh(tri_faces+1, tri_nodes(:,1), tri_nodes(:,2), phi_max); % axis equal; axis off;
    end
    
    % trimesh(tri_faces_global, coor(:,1), coor(:,2), phi_global); 
    % figure; trisurf(tri_faces_global, coor(:,1), coor(:,2), phi_global); 
end

function [edges_num, center_pnt, nodes, edges] = read_voronoi(i)
    datapath = ['data/cvt/vcell',num2str(i)]; 
    fileID = fopen(datapath, 'r');
    info = fscanf(fileID, '%f');

    edges_num = info(1); % edges num of the v-cell
    center_pnt = info(2:3); % the coordinate of the center point of the v-cell
    nodes = reshape(info(4 : 4+edges_num*2-1), 2, [])'; % all nodes coodinates of the v-cell
    edges = reshape(info(4+edges_num*2 : end), 2, [])'; % edges of the v-cell, formed of node-idx      
    
    fclose(fileID);
end