%--------------------------
 % @Author: Jingqiao Hu
 % @Date: 2021-12-10 14:30:54
 % @LastEditTime: 2021-12-15 11:11:39
%--------------------------
function plotting_MMC(MMCs, maxx, minx, maxy, miny, pb,optDesign,loop)

    globaly = (maxy - miny) * 2;
    globalx = (maxx - minx) * 2;
    dx = (maxx - minx) / globalx;
    [coorx, coory] = meshgrid(dx * [-globalx/2 : globalx/2], dx * [-globaly/2 :globaly/2]); 

    phi_max = repmat(-1e5, globaly+1, globalx+1);
%     phi0 = 0;
    parfor ele = 1 : size(MMCs, 1)
        mmc = MMCs(ele, :);
        nc = size(mmc, 1);
        
        for i = 1:nc
            phi = tPhi(mmc(i, :), coorx, coory);
            phi_max = max(phi_max, phi);
%             phi0 = phi0 + exp(pb * phi);
        end
    end
%     phi_max = log(phi0) / pb;

    figure(2); clf; contourf(coorx, coory, reshape(phi_max, globaly+1, globalx+1), [0,0], 'LineWidth',1); 
    
    % plot bounding box
    if strcmp(optDesign, 'Lshape')
        bbx_x = [minx,maxx,maxx,0,0,   minx,minx]';
        bbx_y = [miny,miny,0,   0,maxy,maxy,miny]';
    else
        bbx_x = [minx,maxx,maxx,minx,minx]';
        bbx_y = [miny,miny,maxy,maxy,miny]';        
    end   
    hold on; plot(bbx_x,bbx_y,'k','LineWidth',1);
    axis equal; axis off; pause(1e-6);
    colormap(gray); caxis([-2,1]);    
        
%     datapath = "data/fig/"+optDesign+"_"+loop+".pdf";
%     saveas(gcf, datapath);
end

function H = Heaviside(phi, epsilon) 
    alpha=1e-3; % parameter alpha in the Heaviside function 
    phi = phi(:);

    num_all=[1 : length(phi)]'; 
    num1=find(phi>epsilon); 
    H(num1)=1; 
    num2=find(phi<-epsilon); 
    H(num2)=alpha; 
    num3=setdiff(num_all,[num1;num2]); 
    H(num3)=3*(1-alpha)/4*(phi(num3)/epsilon-phi(num3).^3/(3*(epsilon)^3))+ (1+alpha)/2; 
end