How to find the are between two graphs?

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Angelavtc
Angelavtc on 27 Apr 2020
Answered: Angelavtc on 29 Apr 2020
Hello to all!
How can I find the area in purple between the two graphs in green and blue? is there a exchange file that can do this for me? Considering y limits as [-3000,3000] ?
I attach the points data (x1,y1 definies one curve and x2,y2 the other).
Thanks in advance!

Accepted Answer

Angelavtc
Angelavtc on 29 Apr 2020
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%1st graph %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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t=25
x1=Array_jan_13{t}.Volume;
y1=Array_jan_13{t}.Price;
%x2=Array_jan_13_s{t}.Volume_s
%y2=Array_jan_13_s{t}.Price_s
line1 = 2500*ones(1, length(x1));
%line2 = 2500*ones(1, length(x2));
x_inter=intersectPoints_jan_13{t}.x0;
y_inter=intersectPoints_jan_13{t}.y0;
hFig = figure
plot(x1, y1, 'r-', 'LineWidth', 2)
hold on
%plot(x2, y2, 'g-', 'LineWidth', 2)
%hold on
plot(x1, line1, 'b', 'LineWidth', 2);
hold on
%plot(x2, line2, 'b', 'LineWidth', 2);
%hold on
plot(x_inter,y_inter,'r.','markersize',18)
%CALCULATE THE AREA ABOVE THE DEMAND CURVE UNTIL THE INTERSECTION POINT
n=50000
%INTERPOLATE VALUES
x1_new=linspace(x1(1),x_inter,n);
y1_new=interp1(x1,y1,x1_new);
line_fine1 = 2500*ones(1, length(x1_new));
hFig = figure
plot(x1_new, y1_new, 'r-', 'LineWidth', 2)
hold on
plot(x1_new, line_fine1, 'b', 'LineWidth', 2);
hold on
plot(x_inter,y_inter,'r.','markersize',18)
%Gives the position of the first element in y1_new that meets the
%condition of being less than the condition
indexLeft = find(y1_new < 2500, 1, 'first');
% Put up vertical where the are will be calculated
xline(x1_new(indexLeft), 'Color', 'm', 'LineWidth', 2);
%the last element in demand that intersects which will be the last element
%where the area will be calculated
xline(x1_new(end), 'Color', 'y', 'LineWidth', 2);
% COMPUTE AREAS BETWEEN CURVE AND FLAT BLUE LINE
% Find that area below the line at 2500
%asigna los valores de x_fine desde el primer elemento hasta
%uno antes de que la curva y fuera mayor a 1
x_area=x1_new(indexLeft : end);
y_area=line_fine1(indexLeft : end)-y1_new(indexLeft : end);
area_Loss_up = trapz(x_area, y_area)
% To double check, compute area by summing also.
area_Loss2_up = sum(y_area) * abs(x1_new(2) - x1_new(1)) % Should be fairly close.
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%2ND GRAPH %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%Calculate the area between the y=2500 and supply curve
%until the intersection point
t=25
x2=Array_jan_13_s{t}.Volume_s;
y2=Array_jan_13_s{t}.Price_s;
line2 = 2500*ones(1, length(x2));
x_inter=intersectPoints_jan_13{t}.x0
y_inter=intersectPoints_jan_13{t}.y0
hFig = figure
plot(x2, y2, 'r-', 'LineWidth', 2)
hold on
plot(x2, line2, 'b', 'LineWidth', 2);
hold on
plot(x_inter,y_inter,'r.','markersize',18)
%CALCULATE THE AREA ABOVE THE DEMAND CURVE UNTIL THE INTERSECTION POINT
n=50000;
%INTERPOLATE VALUES
x2_new=linspace(x_inter, x2(end),n);
y2_new=interp1(x2,y2,x2_new);
line_fine2 = 2500*ones(1, length(x2_new));
hFig = figure
plot(x2_new, y2_new, 'r-', 'LineWidth', 2)
hold on
plot(x2_new, line_fine2, 'b', 'LineWidth', 2);
hold on
plot(x_inter,y_inter,'r.','markersize',18)
%Gives the position of the last element in y2_new that meets the
%condition of being less than the condition
indexLeft = find(y2_new < 2500, 1, 'last');
% Put up vertical where the are will be calculated
xline(x2_new(indexLeft), 'Color', 'm', 'LineWidth', 2);
%the first element in demand that intersects which will be the last element
%where the area will be calculated
xline(x2_new(1), 'Color', 'y', 'LineWidth', 2);
% COMPUTE AREAS BETWEEN CURVE AND FLAT BLUE LINE
% Find that area below the line at 2500
x_area_s=x2_new(1 : indexLeft);
y_area_s=line_fine2(1 : indexLeft)-y2_new(1 : indexLeft);
area_Loss_s_up = trapz(x_area_s, y_area_s)
% To double check, compute area by summing also.
area_Loss2_s_up= sum(y_area_s) * abs(x2_new(2) - x2_new(1))
Total_area_up=area_Loss_up+area_Loss_s_up
Total_area2_up=area_Loss2_up+area_Loss2_s_up

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