qGraph function added for C-space
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buildPRM.m
31
buildPRM.m
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@ -22,7 +22,7 @@
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
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hold off;
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i = 1;
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Points=zeros(2, nbPoints);
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@ -43,11 +43,11 @@ function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
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drawLine(top_line);
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hold on;
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drawLine(bottom_line);
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center_box=[L2 L2; -L2 L2; -L2 -L2; L2 -L2]
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center_box=[L2 L2; -L2 L2; -L2 -L2; L2 -L2];
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drawPolygon(center_box);
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hold on;
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poly_a=circleToPolygon([0 0 L2-L1], 32);%create a polygon for matgeom with the circle info (smaller one)
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poly_b=circleToPolygon([0 0 L1+L2], 32);%bigger one radius=3
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@ -56,7 +56,7 @@ function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
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%creates random angle values for Q1 and Q2
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Q=[rand()*(rangeQ1Q2(1,2)-rangeQ1Q2(1,1))+rangeQ1Q2(1,1);rand()*(rangeQ1Q2(2,2)-rangeQ1Q2(2,1))+rangeQ1Q2(2,1)];
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theta=[Q(1,1);Q(2,1)];
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OutOfRange=0; %set the boolean
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bTee=dh2ForwardKinematics(theta, d, a, alpha, jointNumber); %FW kinematics
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@ -72,29 +72,29 @@ function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
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endif
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if (OutOfRange==0)
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Q_storage(1:2, i)=Q;
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Points(1:2, i)=jTee; %assign the current random point to the Points matrix
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MatrixOfLinks(i, i)=1; %it doesnt intersect with the obstacles when compared to itself
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if i == 1
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drawPoint(jTee(1,1), jTee(2,1)); %draw the point
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endif
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if i>=2 %i=1 useless
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for j=1:i %compare with the other points to check if it can be connected to them
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intersect=0; %set no intersection to start with
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%takes the coordinates of the current and past points
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current_point=[Points(1, i), Points(2, i)];
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current_point=[Points(1, i), Points(2, i)];
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previous_point=[Points(1, j), Points(2, j)];
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%creates a line-segment between the points before checking if that line-segment instersects an obstacle
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L = createEdge(current_point, previous_point);
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%intersect returns a vector of points of intersection meaning that if it is empty, there is no intersection
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if (isempty(intersectEdgePolygon(L, poly_a))!=1 | isempty(intersectEdgePolygon(L, poly_b))!=1 | isempty(intersectEdgePolygon(L, center_box))!=1)
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intersect=1; % intersection happenned
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else %if there is no intersection, plot the line-segment and the point and adds it to the list of valid points
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MatrixOfLinks(i, j)=1;
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MatrixOfLinks(j,i)=1;
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@ -108,10 +108,11 @@ function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
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i= i + 1;
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endif
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end
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MatrixOfLinks
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Points %display the points vector to check on the graph
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qGraph (Q_storage, nbPoints, MatrixOfLinks)
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%saves the results into a .mat file
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save(strcat(MapFilename,'.mat'), 'Points', 'MatrixOfLinks')
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@ -0,0 +1,25 @@
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# Created by Octave 7.3.0, Tue Jan 10 14:36:10 2023 GMT <unknown@LAPTOP-EJ1AIJHT>
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# name: Points
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# type: matrix
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# rows: 2
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# columns: 10
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-2.9722694997088999 2.2027074585576791 -2.4163314018998832 -1.563641777935366 1.8247189104154553 -0.17308723248350155 0.24577290552178044 -0.80469834936605633 2.0135592026997866 -0.36560396489119051
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0.047890118375208762 -0.42713698315704518 -0.30925089631194735 -1.216804326954257 1.3865824550438368 1.3067789455813377 -1.2708472666201218 1.1717992231942889 -0.02269206049426975 1.84133215165838
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# name: MatrixOfLinks
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# type: matrix
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# rows: 10
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# columns: 10
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1 0 1 1 0 0 0 1 0 1
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0 1 0 0 1 0 0 0 1 0
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1 0 1 1 0 0 0 0 0 1
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1 0 1 1 0 0 1 0 0 0
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0 1 0 0 1 1 0 1 1 1
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0 0 0 0 1 1 0 1 0 1
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0 0 0 1 0 0 1 0 0 0
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1 0 0 0 1 1 0 1 0 1
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0 1 0 0 1 0 0 0 1 0
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1 0 1 0 1 1 0 1 0 1
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@ -0,0 +1,36 @@
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## Author: adril <adril@LAPTOP-EJ1AIJHT>
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## Created: 2023-01-10
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
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%
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% Task:
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%
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% Inputs:
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% -
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%
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% Outputs:
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% - None
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%
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% Adrien Lasserre (adrien.lasserre@ecam.fr) & Gwenn Durpoix-Espinasson (g.durpoix-espinasson@ecam.fr)
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% 10/01/2023
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%
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% Check library matgeom: https://octave.sourceforge.io/matgeom/overview.html
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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function qGraph (Q, nbPoints, mat)
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hold off;
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figure 2
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for i=1:nbPoints
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for j=1:nbPoints
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drawPoint(Q(1,i), Q(2,i));
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current_point=[Q(1, i), Q(2, i)];
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previous_point=[Q(1, j), Q(2, j)];
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if mat(i, j)==1 & mat(j, i)==1
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L = createEdge(current_point, previous_point);
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hold on;
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drawEdge(L);
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endif
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endfor
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endfor
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endfunction
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@ -0,0 +1,16 @@
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# graph
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# nodes
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5 2
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10 10
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20 10
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10 20
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20 20
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27 15
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# edges
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6
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1 2
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1 3
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2 4
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2 5
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3 4
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4 5
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@ -52,7 +52,6 @@ intersectLinePolygon(L, poly_a)
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isempty(intersectLinePolygon(L, poly_a))!=1
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## This should be how we apply the function:
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####rangeQ1Q2=[-5, -5; 5, 5];
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####nbPoints=10;
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