You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
62 lines
2.8 KiB
62 lines
2.8 KiB
function pts = recurse_quad_pts(CPWmat,bdbx,p,initlvls,lvls,tol)
|
|
%recurse_quad Performs recursive quadtree integration
|
|
% Inputs:
|
|
% CPWmat One bezier object representing one boundary of domain
|
|
% bdbx bdbx a quad which intersects the boundary of the domain
|
|
% funct Function to be integrated f = @(x,y)...
|
|
% p Order of tensor-product Gaussian quad rule to be used
|
|
% lvls Levels of adaptive quadtree subdivision to perform
|
|
%
|
|
% Outputs:
|
|
% Nquads Totol number of quadrature points used
|
|
% value Estimate of value of integral over domain using quadtree
|
|
pts=zeros(3,0);
|
|
if initlvls>0
|
|
daughtbxs{1} = [bdbx(1) (bdbx(1)+bdbx(2))/2 bdbx(3) (bdbx(3) + bdbx(4))/2];
|
|
daughtbxs{2} = [(bdbx(1)+bdbx(2))/2 bdbx(2) bdbx(3) (bdbx(3) + bdbx(4))/2];
|
|
daughtbxs{3} = [(bdbx(1)+bdbx(2))/2 bdbx(2) (bdbx(3) + bdbx(4))/2 bdbx(4)];
|
|
daughtbxs{4} = [bdbx(1) (bdbx(1)+bdbx(2))/2 (bdbx(3) + bdbx(4))/2 bdbx(4)];
|
|
for i=1:4
|
|
pts2 = recurse_quad_pts(CPWmat,daughtbxs{i},p,initlvls-1,lvls,tol);
|
|
pts = [pts; pts2];
|
|
end
|
|
else
|
|
if lvls==0
|
|
quadpts = gauss2Dbdspts(bdbx,p);
|
|
% pts2=shapeIEvalpts(quadpts,CPWmat,1,tol);
|
|
pts = [pts; quadpts];
|
|
% rectangle('position',[bdbx(1) bdbx(3) bdbx(2)-bdbx(1) bdbx(4)-bdbx(3)])
|
|
% hold on
|
|
else
|
|
daughtbxs{1} = [bdbx(1) (bdbx(1)+bdbx(2))/2 bdbx(3) (bdbx(3) + bdbx(4))/2];
|
|
daughtbxs{2} = [(bdbx(1)+bdbx(2))/2 bdbx(2) bdbx(3) (bdbx(3) + bdbx(4))/2];
|
|
daughtbxs{3} = [(bdbx(1)+bdbx(2))/2 bdbx(2) (bdbx(3) + bdbx(4))/2 bdbx(4)];
|
|
daughtbxs{4} = [bdbx(1) (bdbx(1)+bdbx(2))/2 (bdbx(3) + bdbx(4))/2 bdbx(4)];
|
|
for i=1:4
|
|
% if lvls==3
|
|
% bdpts = [daughtbxs{i}(1) daughtbxs{i}(3);
|
|
% daughtbxs{i}(1) daughtbxs{i}(4);
|
|
% daughtbxs{i}(2) daughtbxs{i}(3);
|
|
% daughtbxs{i}(2) daughtbxs{i}(4);];
|
|
% % scatter(bdpts(:,1),bdpts(:,2),100,'r.');
|
|
% end
|
|
isContID=isContainedBx(daughtbxs{i},CPWmat,1,tol,p);
|
|
isContIDpert=isContainedBx(daughtbxs{i}+[.00000001 -.00000001 .00000001 -.00000001],CPWmat,1,tol,p);
|
|
if isContIDpert == 0
|
|
isContID = 0;
|
|
end
|
|
if isContID == 0
|
|
quadpts = gauss2Dbdspts(daughtbxs{i},p);
|
|
% pts2=shapIEvalpts(quadpts,CPWmat,1,tol);
|
|
% rectangle('Position',[daughtbxs{i}(1) daughtbxs{i}(3) daughtbxs{i}(2)-daughtbxs{i}(1) daughtbxs{i}(4)-daughtbxs{i}(3)])
|
|
% hold on
|
|
pts = [pts; quadpts];
|
|
elseif isContID == 1
|
|
pts2 = recurse_quad_pts(CPWmat,daughtbxs{i},p,0,lvls-1,tol);
|
|
pts = [pts; pts2];
|
|
end
|
|
end
|
|
end
|
|
end
|
|
end
|
|
|
|
|