MATLAB: Finding the common range between two ranges

MATLABsort

I have two matrix such as

X1=[0.316227766016838 0.346410161513775

0.509901951359279 0.529150262212918

1.63401346383682 1.63707055437449

2.28035085019828 2.37276210354093

3.24961536185438 4.78330429724056

4.96689037527506 5.00199960015992

5.06655701635736 6.06959636219741

6.07782855960910 9.43292107461946

9.61145150328503 10 ]

X2=[0.223606797749979 0.223606797749979

0.447213595499958 0.458257569495584

2.11423745118660 2.14242852856286

2.22485954612870 2.27815714997890

3.24653661614959 3.24807635378234

3.28329103187640 4.72652091923859

4.91121166312347 4.94064773081425

5.00299910053960 6.06959636219741

6.07865116617165 9.61093127641645

9.78110423214066 10]

I need to know the common ranges between X1 and X2 if it exist. Dimensions of X1 and X2 are not same

For example (3.28329103187640 4.72652091923859) range is common to both X1 and X2

Similarlyand 5.06655701635736 6.06959636219741 and so-on.

Can anybody help me how to do this in matlab?

Best Answer

You can use this RangeIntersection function on FEX

% Test data
X1=[0.316227766016838	0.346410161513775
0.509901951359279	0.529150262212918
1.63401346383682	1.63707055437449
2.28035085019828	2.37276210354093
3.24961536185438	4.78330429724056
4.96689037527506	5.00199960015992
5.06655701635736	6.06959636219741
6.07782855960910	9.43292107461946
9.61145150328503	10	]
X2=[0.223606797749979	0.223606797749979
0.447213595499958	0.458257569495584
2.11423745118660	2.14242852856286
2.22485954612870	2.27815714997890
3.24653661614959	3.24807635378234
3.28329103187640	4.72652091923859
4.91121166312347	4.94064773081425
5.00299910053960	6.06959636219741
6.07865116617165	9.61093127641645
9.78110423214066	10]
% https://fr.mathworks.com/matlabcentral/fileexchange/24254-interval-merging
[l,r] = RangeIntersection(X1(:,1),X1(:,2),X2(:,1),X2(:,2));
I = [l(:) r(:)]

It returns

I =
    3.2833    4.7265
    5.0666    6.0696
    6.0787    9.4329
    9.7811   10.0000

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MATLAB: ‘Matrix dimensions must agree error’

You need a mesh to create contour plot

bbfun = @(x1,x2) (4-2.1.*x1.^2+x1.^4/3).*x1.^2 + x1.*x2 + (-4+4*x2.^2) .*x2.^2; 
x1 = -2:1/100:2;
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Hi, I understand you are trying to plot common elements between two datasets. You can use intersect function to get an overlap between two datasets.Here is a sample code for it.

clc;clear all;
x1 = [1, 2, 3, 4, 5, 6, 7];
y1 = [1, 4, 9, 16, 25, 36, 49];
x2 = [1.5, 3, 4.5, 6];
y2 = [10, 6, 4, 0];
[common_x1x2,locx1,locx2 ] = intersect(x1,x2); % Common Element between x1 & x2
common_y1=y1(locx1);    % Corresponding Element in y1
common_y2=y2(locx2);    % Corresponding Element in y2
plot(common_x1x2,common_y1,common_x1x2,common_y2);

You Can also plot both the dataset.

clc;clear all;
x1 = [1, 2, 3, 4, 5, 6, 7];
y1 = [1, 4, 9, 16, 25, 36, 49];
x2 = [1.5, 3, 4.5, 6];
y2 = [10, 6, 4, 0];
diffx2x1=setdiff(x2,x1);
x1new=[x1,diffx2x1];
y1new=[y1,zeros(1,length(diffx2x1))];
diffx1x2=setdiff(x1,x2);
x2new=[x2,diffx1x2];
y2new=[y2,zeros(1,length(diffx1x2))];
plot(x1new,y1new,'o')
hold on
plot(x2new,y2new,'o')
hold off

Best Answer

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