% function ParameterRange()
aa=0.5:0.1:2;
bb=0.5:0.1:2;
cc= -5:0.1:1;

[a,b,c]=meshgrid(aa,bb,cc);

constraint1 = -a-b-c-1;
constraint2 = -a-b+c+1;
constraint3 = -a+b+c-1;
constraint4 =  a-b+c-1;


domain = max(max(max(constraint1,constraint2),constraint3),constraint4)<=0;

disp([num2str(min(constraint1.*domain,[],'all')),' <= C1 <= ',num2str(max(constraint1.*domain,[],'all'))])

disp([num2str(min(constraint2.*domain,[],'all')),' <= C2 <= ',num2str(max(constraint2.*domain,[],'all'))])

disp([num2str(min(constraint3.*domain,[],'all')),' <= C3 <= ',num2str(max(constraint3.*domain,[],'all'))])

disp([num2str(min(constraint4.*domain,[],'all')),' <= C4 <= ',num2str(max(constraint4.*domain,[],'all'))])

isosurface(a,b,c,-max(max(max(constraint1,constraint2),constraint3),constraint4),0)
isocaps(a,b,c,-max(max(max(constraint1,constraint2),constraint3),constraint4),0)
axis equal;axis tight;
camlight