2012-11-07 16:00:00 UTC

# Think Parallel

Status: Passed
Results: 1275 (cyc: 7, node: 952)
CPU Time: 44.408
Score: 1316.45
Submitted at: 2012-11-05 03:57:49 UTC
Scored at: 2012-11-05 04:00:45 UTC

Current Rank: 490th (Highest: 1st )
Based on: Thinkless slugging (diff)
Basis for: Post Optimizer (diff)
Basis for: Twenty of deux (diff)
Basis for: try107 (diff)
...and 16 others.

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Code
```function xyOut = solver(a, xyIn, wts)
deg=diag(sum(a));
[V,~]=eig(deg-a,deg);
N = length(a);
A = triu(a,1);
for ss=1:3
[xy{ss} xy{ss+3}] = solver_alfonsoz (a, xyIn , wts, ss+1, N, V+rand(size(V))/25); % (Biswas)
%    NN(ss) = gradeIt(A,xy{ss});
%    NN(ss+3) = gradeIt(A,xy{ss+3});
end
[xy{7} xy{8}] = solver_alfonsoz (a, xyIn , wts, 1, N, V);
%NN(7) = gradeIt(A,xy{7});
%NN(8) = gradeIt(A,xy{8});
xy{9} = solver_hannes(xyIn, N, V(:,2:3));
%NN(9) = gradeIt(A,xy{9});

parfor ss=1:9
NN(ss)=gradeIt(A,xy{ss})
end

[ZBest,best] = min(NN);
xyOut = xy{best};

% Jiggle the Best
sprev = rng(0,'twister'); % Non-disturb rng seq by reset post jiggle

for ii=1:2
for jiggle=1:10
xyOutZ=xyOut+randi([-ii ii],N,2);
grade=gradeIt(A,xyOutZ);
if grade<ZBest && size(unique(xyOutZ,'rows'),1)==N
xyOut=xyOutZ; % Use jiggle enhanced for more jiggling
%break % Faster with Break but not Best Code/Time/Knots Trade
ZBest=grade;
end
end
end

rng(sprev) % See a 2 Knot impact w/o any xyOut change

end

function [xyOut xyOut1] = solver_alfonsoz(a, xyIn, wts, ss, N, V)
randn('seed',ss);
xyOut=V(:,2:3);
sN=sqrt(N);
for ncut=1:2
Mbeta=((1-ss/15)*eye(N)+(ss/15)*bsxfun(@rdivide,a+eye(N),sum(a,2)+1))^10;
for n1=1:(117+ss)
xyOut=Mbeta*xyOut;
xc = bsxfun(@minus,xyOut,sum(xyOut)/N);
[c1,D]=svd(xc');
xyOut=xc*c1*diag(sN./(.1+D([1 4])))*c1';
end
[i,j]=find(a>0.0075+ss*5.1e-4);
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;
end

xyOutH=xyOut;
single_idx = find(sum(a)==1);
[singles_link, ~] = find(a(:,single_idx)==1);
xyOut(single_idx,:)=xyOut(singles_link,:);

for zsingle=1:2
xyOut0=sqrt(N)*detrend(xyOut,'constant')*diag(1./std(xyOut,1,1));
k=5;
[sxyOut0,idxequal]=sortrows(round(15*xyOut0)); % (Biswas)
idxequal=idxequal(all(~diff(sxyOut0,1,1),2));
xyOut=round(xyOut0);
while size(unique(xyOut,'rows'),1)~=N
k=k*(1.0+ss*0.055);
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)));
if zsingle==1
xyOut1=xyOut;
xyOut=xyOutH;
end
end
end

function xyOut = solver_hannes(xyIn, N, V)
mult    = norm(max(xyIn)-min(xyIn))/norm(max(V)-min(V));
xyOut   = [];
while size(unique(xyOut,'rows'),1)<N
xyOut       = round(V*mult);
[~,i]       = unique(xyOut,'rows');
m           = setdiff(1:N,i);
xyOut(m,:)  = xyOut(m,:) + round(rand(length(m),2))*2 - 1;
mult        = mult*1.5;
end
end

function S = gradeIt(A,XYnew)
nLines = nnz(A);
[p1i,p2i] = find(A);
[pickr,pickc] = find(tril(true(nLines),-1));
X = [XYnew(p1i,:) XYnew(p2i,:)];
x1 = X(pickr,:);
x3 = X(pickc,:);
S = sum(areIntersecting(x1(:,1),x1(:,2),x1(:,3),x1(:,4),x3(:,1),x3(:,2),x3(:,3),x3(:,4)));
end

function bool = areIntersecting(x1,y1,x2,y2,x3,y3,x4,y4)
a = x1.*y2 - y1.*x2;
b = x3.*y4 - y3.*x4;
Px_n = a.*(x3 - x4) - b.*(x1 - x2);
Py_n = a.*(y3 - y4) - b.*(y1 - y2);
Pxy_d = (x1 - x2).*(y3 - y4) - (y1 - y2).*(x3 - x4);
bool = isPointBetween(x1, x2, Px_n, Pxy_d) & ...
isPointBetween(y1, y2, Py_n, Pxy_d) & ...
isPointBetween(x3, x4, Px_n, Pxy_d) & ...
isPointBetween(y3, y4, Py_n, Pxy_d);
end

function bool = isPointBetween(pt1, pt2, num, den)
bool = (pt1.*den - num).*(num - pt2.*den) >= 0;
end```