working buildPRM function

This commit is contained in:
Gwenn DURPOIX-ESPINASSON 2023-01-09 16:14:15 +01:00
parent 743cfb9e77
commit e7c410c79b
3 changed files with 56 additions and 25 deletions

View File

@ -22,6 +22,9 @@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename) function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
hold off;
i = 1;
Points=zeros(2, nbPoints); Points=zeros(2, nbPoints);
MatrixOfLinks=zeros(nbPoints, nbPoints); MatrixOfLinks=zeros(nbPoints, nbPoints);
alpha=[0;0]; alpha=[0;0];
@ -29,25 +32,39 @@ function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
a=[L1;L2]; a=[L1;L2];
jointNumber=[1;2]; jointNumber=[1;2];
figure 1 figure 1; hold on;
b=drawCircle(0, 0, L2); b=drawCircle(0, 0, L1+L2); %teacher's functions for drawing circles
c=drawCircle(0, 0, L1);%teacher's functions for drawing circles hold on;
c=drawCircle(0, 0, L2-L1);
hold on;
%creates the lines defining the prohibited areas
top_line = createLine([0,L1,1,0]);
bottom_line = createLine([0,-L1,1,0]);
drawLine(top_line);
hold on;
drawLine(bottom_line);
center_box=[L2 L2; -L2 L2; -L2 -L2; L2 -L2]
drawPolygon(center_box);
hold on;
poly_a=circleToPolygon([0 0 L2], 32);%create a polygon for matgeom with the circle info (smaller one)
poly_b=circleToPolygon([0 0 L1], 32);%bigger one radius=2
for i=1:nbPoints % won't give 10 points if intersection happens poly_a=circleToPolygon([0 0 L2-L1], 32);%create a polygon for matgeom with the circle info (smaller one)
poly_b=circleToPolygon([0 0 L1+L2], 32);%bigger one radius=3
while i <= nbPoints % will work until 10 valid points are found (no intersection)
%creates random angle values for Q1 and Q2
Q=[rand()*(rangeQ1Q2(1,2)-rangeQ1Q2(1,1))+rangeQ1Q2(1,1);rand()*(rangeQ1Q2(2,2)-rangeQ1Q2(2,1))+rangeQ1Q2(2,1)]; Q=[rand()*(rangeQ1Q2(1,2)-rangeQ1Q2(1,1))+rangeQ1Q2(1,1);rand()*(rangeQ1Q2(2,2)-rangeQ1Q2(2,1))+rangeQ1Q2(2,1)];
theta=[Q(1,1);Q(2,1)]; theta=[Q(1,1);Q(2,1)];
OutOfRange=0; %set the boolean OutOfRange=0; %set the boolean
bTee=dh2ForwardKinematics(theta, d, a, alpha, jointNumber); %FW kinematics bTee=dh2ForwardKinematics(theta, d, a, alpha, jointNumber); %FW kinematics
jTee=bTee(1:2, 4); %only retrieve the x and y (2D) values jTee=bTee(1:2, 4); %only retrieve the x and y (2D) values
%checks if the end effector is in a prohibited zone
if (jTee(2,1)>=L1) if (jTee(2,1)>=L1)
OutOfRange=1; %is out if in that area OutOfRange=1; %is not valid if in that area
elseif (jTee(2,1)<=-L1) elseif (jTee(2,1)<=-L1)
OutOfRange=1; OutOfRange=1;
elseif (abs(jTee(1,1)) <= L2 && abs(jTee(2,1)) <=L2) elseif (abs(jTee(1,1)) <= L2 && abs(jTee(2,1)) <=L2)
@ -55,34 +72,47 @@ function buildPRM (rangeQ1Q2, nbPoints, L1, L2, MapFilename)
endif endif
if (OutOfRange==0) if (OutOfRange==0)
Points(1:2, i)=jTee; %assign the current random point to the Points matrix Points(1:2, i)=jTee; %assign the current random point to the Points matrix
MatrixOfLinks(i, i)=1; %it doesnt intersect with the obstacles when compared to itself MatrixOfLinks(i, i)=1; %it doesnt intersect with the obstacles when compared to itself
if i == 1
drawPoint(jTee(1,1), jTee(2,1)); %draw the point
endif
if i>=2 %i=1 useless if i>=2 %i=1 useless
for j=1:i %cmare with the other points if there is an intersection
for j=1:i %compare with the other points to check if it can be connected to them
intersect=0; %set no intersection to start with intersect=0; %set no intersection to start with
%takes the coordinates of the current and past points
current_point=[Points(1, i), Points(2, i)];
previous_point=[Points(1, j), Points(2, j)];
dx=Points(1,i)-Points(1, j); %dx for creating the line - dif between x actual and x at n-1 %creates a line-segment between the points before checking if that line-segment instersects an obstacle
dy=Points(2,i)-Points(2, j); L = createEdge(current_point, previous_point);
LINE=[Points(1, i), Points(2, i), dx, dy]; % creation of the vector LINE %intersect returns a vector of points of intersection meaning that if it is empty, there is no intersection
if (isempty(intersectEdgePolygon(L, poly_a))!=1 | isempty(intersectEdgePolygon(L, poly_b))!=1 | isempty(intersectEdgePolygon(L, center_box))!=1)
L = createLine(LINE); %creation of the line with matgeom
hold on %plotting the line
drawLine(L);
if (isempty(intersectLinePolygon(L, poly_a))!=1)%intersect returns a vector of points of intersection
%meaning that if it is empty, there is no intersection
intersect=1; % intersection happenned intersect=1; % intersection happenned
else
else %if there is no intersection, plot the line-segment and the point and adds it to the list of valid points
MatrixOfLinks(i, j)=1; MatrixOfLinks(i, j)=1;
MatrixOfLinks(j,i)=1; MatrixOfLinks(j,i)=1;
hold on hold on;%plotting the line
drawEdge(L);
hold on;
drawPoint(jTee(1,1), jTee(2,1)); %draw the point drawPoint(jTee(1,1), jTee(2,1)); %draw the point
endif endif
endfor endfor
endif endif
i= i + 1;
endif endif
endfor end
MatrixOfLinks
Points %display the points vector to check on the graph Points %display the points vector to check on the graph
%saves the results into a .mat file
save(strcat(MapFilename,'.mat'), 'Points', 'MatrixOfLinks')
end end

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@ -7,6 +7,7 @@ clear all
##These are all of the tries I made with the matgeom library to try and develop the code ##These are all of the tries I made with the matgeom library to try and develop the code
figure 1 figure 1
a=drawCircle(0, 0, 1); a=drawCircle(0, 0, 1);
hold on;
b=drawCircle(0, 0, 2); b=drawCircle(0, 0, 2);
##figure 2 ##figure 2

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