How to get different colours for different regions for this problem

How to get different colours for different regions for this problem? Here are 10 regions and I want to colour the regions? How to modify the code to get the desired result?

x=0:.00001:1;
y=x.*x;
plot(x,y,'r')
hold on
z=sqrt(x);
plot(x,z);
hold on
y=x;
plot(x,y,'g')
y=1-x;
hold on
plot(x,y,'k')
x=0:.00001:.334;
y=1-2*x;
hold on
plot(x,y,'r')
axis([0 1 0 1])

[KSSV]

Take the vertices of required closed area and use patch or fill.

[Atom]

How to do that? Please show me by one example using the code above

Answer 1

[Robert U]

Hi pallav pal,

one example patch as requested. All others can be drawn accordingly.

x1=0:.00001:1;
x2=0:.00001:.334;

y1=x1.*x1;
z1=sqrt(x1);
y2=x1;
y3=1-x1;
y4=1-2*x2;

plot(x1,y1,'r')
hold on
plot(x1,z1);
plot(x1,y2,'g')
plot(x1,y3,'k')
plot(x2,y4,'r')

axis([0 1 0 1])

area1 = min(y1,y3);
patch('XData',[x1,0],'YData',[area1,0],'FaceAlpha',0.7,'FaceColor','red')

Kind regards,

Robert

[Atom]

Thank you... but I don't get a region colored... getting the following error...

??? Error using ==> patch

Not enough input arguments.

Error in ==> test at 16

patch([x1,0],[area1,0],'FaceAlpha',0.7,'FaceColor','red')

[Robert U]

My fault in syntax:

patch('XData',[x1,0],'YData',[area1,0],'FaceAlpha',0.7,'FaceColor','red')

I corrected the answer.

[Atom]

Would you please colour the smallest region of the plot...

[Robert U]

x1=0:.00001:1;
x2=0:.00001:.334;
y1=x1.*x1;
z1=sqrt(x1);
y2=x1;
y3=1-x1;
y4=1-2*x2;
plot(x1,y1,'r')
hold on
plot(x1,z1);
plot(x1,y2,'g')
plot(x1,y3,'k')
plot(x2,y4,'r')
axis([0 1 0 1])
area1 = min(y1,y3);
% resample y4, out of range set to Zero
y4res = interp1(x2,y4,x1,'linear',0);

% define boolean selections
boolSel1 = z1>=y4res & z1<=y3;
boolSel2 = y3 >= y2 & z1 >= y3;
boolSel3 = y2 >= y4res;
boolSel4 = y4res >= y2 & y4res <= z1;

%create patch y coordinates of "smallest area"
area2 = [z1( boolSel1 )  y3(boolSel2) flip(y2(boolSel3)) flip(y4res(boolSel4))];

patch('XData',[x1,0],'YData',[area1,0],'FaceAlpha',0.7,'FaceColor','red')
patch('XData',[x1(boolSel1|boolSel2),flip(x1(boolSel3|boolSel4))],'YData',[area2],...
      'FaceAlpha',0.7,'FaceColor','green')

Kind regards,

Robert

[Atom]

thanks a lot