How to calculate individual areas under plot

I'm trying to calculate areas between individual x values underneath my current plot, from the code below;

clear
clc

x = [0 1 2 3 4 5 6 7 8 9 10 11 12];
y = -[0 -0.5 -0.8 -0.8 -1 -1.1 -1.2 -1.2 -1.4 -1.2 -1.1 -1 0]; 

plot (x,y,'r')
area (x,y)
An = (trapz(x,y));

How would I calculate and store values of the area between the ranges of 0 to 1, 1 to 2 etc. onwards, whilst relating it still to the original matrix its attached to? Would it be also possible to return this value for the areas as a matrix the same size as x and y?

Any help would be appreciated,

Thanks.

Answer 1

[Image Analyst]

Try this:

% Create sample data.
x = [0 1 2 3 4 5 6 7 8 9 10 11 12]
y = -[0 -0.5 -0.8 -0.8 -1 -1.1 -1.2 -1.2 -1.4 -1.2 -1.1 -1 0];
subplot(2, 1, 1);
area(x,y)
grid on;
hold on;
% Draw grid lines on top of area.
for k = 1 : length(x)
	xline(x(k), 'Color', 'k');
end
yt = yticks;
for k = 1 : length(yt)
	yline(yt(k), 'Color', 'k');
end
plot (x, y, 'r.-', 'LineWidth', 3, 'MarkerSize', 30)
xlabel('x', 'FontSize', 20);
ylabel('y', 'FontSize', 20);

% Compute areas.
An = (trapz(x,y)) % Overall area.
% Compute areas within each pair of x locations.
midpoints = (y(1:end-1) + y(2:end))/2
deltax = diff(x)
areas = deltax .* midpoints
subplot(2, 1, 2);
bar(x(1:end-1)-x(1)+ 0.5, areas);
title('Areas of Each Zone', 'FontSize', 20);
xlabel('x', 'FontSize', 20);
ylabel('Area in zone', 'FontSize', 20);
grid on;

[Hamzah Mahmood]

Thank you so much Image Analyst, this works great This is a big help! Thanks.