Finish 2012-11-07 16:00:00 UTC

arttrap1.5.3t

by Amresh

Status: Passed
Results: 1326 (cyc: 7, node: 1009)
CPU Time: 109.941
Score: 146573.0
Submitted at: 2012-11-04 09:17:15 UTC
Scored at: 2012-11-04 09:22:06 UTC

Current Rank: 1699th (Highest: 590th )
Based on: arttrap1.5.2t (diff)

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Code
function xyOut = solver(a, xyIn, wts)

deg=diag(sum(a));
L=deg-a;
[V,~]=eig(L,deg);
N = size(a,1);

% Place nodes in radial pattern
for ss=2:2:20
 [xy{ss-1} xy{ss}]     = solver_alfonsoz  (a, xyIn , wts, ss/2+1, N, V);
 NN(ss-1)    = gradeIt(a,xy{ss-1});
 NN(ss)      = gradeIt(a,xy{ss});
 %Nknots(n) = numKnots(xy{ss},a);
end
for ss = 21:25
xy{ss}       = solver_hannes(xyIn, N, V);
NN(ss)        = gradeIt(a,xy{ss});
end
[~,best]    = min(NN);
xyOut       = xy{best};

end

function [xyOut xyOut1] = solver_alfonsoz(a, xyIn, wts, ss, N, V)

randn('seed',ss);
xyOut=V(:,2:3);

for ncut=1:2
    Mbeta=((1-ss/10)*eye(N)+(ss/10)*bsxfun(@rdivide,a+eye(N),sum(a,2)+1))^10;
    for n1=1:(117+ss)
        xyOut=Mbeta*xyOut;
        [c1,D]=svd(cov(xyOut,1));
        xyOut=(bsxfun(@minus,xyOut,mean(xyOut)))*c1*diag(1./sqrt(.1+diag(D)))*c1';
    end
    [i,j]=find(a>0.0075+ss*5.1e-4);%1.02/2000); 
    dd=sum((xyOut(i,:)-xyOut(j,:)).^2,2);
    k=find(dd>(3.15 + ss*0.102)*mean(dd));
    if isempty(k), break; end
    a(i(k)+N*(j(k)-1))=0.0075+ss*5.1e-4;%1.02/2000;
end


 xyOutH=xyOut;
 single_idx=find(sum(a)==1);    
 singles_link= mod(find(a(:,single_idx)==1)-1,N)+1;
 xyOut(single_idx,:)=xyOut(singles_link,:);

 for zsingle=1:2 % Overlay singletons
  
  xyOut0=sqrt(N)*detrend(xyOut,'constant')*diag(1./std(xyOut,1,1));
  k=5;
  [sxyOut0,idxequal]=sortrows(round((12+ss)*xyOut0)/(12+ss));
  idxequal=idxequal(all(~diff(sxyOut0,1,1),2));
  xyOut=round(xyOut0);
  while size(unique(xyOut,'rows'),1)~=N
    k=k*(1.0+ss*1.1/20);
    xyOut=xyOut0*k;
    xyOut(idxequal,:)=(xyOut0(idxequal,:)+randn(numel(idxequal),2)/(9+ss))*k;
    xyOut=round(xyOut);
  end

  xyOut = bsxfun(@minus,xyOut,round(wts*(xyOut-xyIn)./sum(wts))); % AV's

  if zsingle==1
   xyOut1=xyOut;
   xyOut=xyOutH;
  end
 end % zsingle

end

function xyOut = solver_hannes(xyIn, N, V)
    xyOut=0;
    outdiam=sqrt(sum((max(V(:,2:3))-min(V(:,2:3))).^2));
    indiam=sqrt(sum((max(xyIn)-min(xyIn)).^2));
    mult=indiam/outdiam;
    
    while size(unique(xyOut,'rows'),1)<N
    xyOut=round(V(:,2:3)*mult);
    [~,i]=unique(xyOut,'rows');
    m=setdiff(1:N,i);
    xyOut(m,:)=xyOut(m,:)+round(rand(size(m,2),2))*2-1;
    mult=mult*1.5;
    end
end

function S = gradeIt(a,XYnew)

A         = triu(a,1);
nLines    = nnz(A);
[p1i,p2i] = find(A);
pick      = tril(true(nLines),-1);
getElem = @(x)x(pick);
parfor nt=1:2
x1{nt}        = getElem(repmat(XYnew(p1i,nt) ,1,nLines));
x3{nt}        = getElem(repmat(XYnew(p1i,nt)',nLines,1));
x2{nt}        = getElem(repmat(XYnew(p2i,nt) ,1,nLines));
x4{nt}        = getElem(repmat(XYnew(p2i,nt)',nLines,1));
end

S         = sum(areIntersecting(x1{1},x1{2},x2{1},x2{2},x3{1},x3{2},x4{1},x4{2}));
end

function bool = areIntersecting(x1,y1,x2,y2,x3,y3,x4,y4)


Px_n = (x1.*y2 - y1.*x2).*(x3 - x4) - (x1 - x2).*(x3.*y4 - y3.*x4);
Px_d = (x1 - x2).*(y3 - y4) - (y1 - y2).*(x3 - x4);

Py_n = (x1.*y2 - y1.*x2).*(y3 - y4) - (y1 - y2).*(x3.*y4 - y3.*x4);
Py_d = (x1 - x2).*(y3 - y4) - (y1 - y2).*(x3 - x4);


bool = (isPointBetween(x1, x2, Px_n, Px_d) & ...
        isPointBetween(y1, y2, Py_n, Py_d) & ...
        isPointBetween(x3, x4, Px_n, Px_d) & ...
        isPointBetween(y3, y4, Py_n, Py_d));

end

function bool = isPointBetween(pt1, pt2, num, den)

bool = ((pt1.*den <= num) & (num <= pt2.*den)) | ...
       ((pt1.*den >= num) & (num >= pt2.*den));
end