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MAIN2D_CompareEtalon.m
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MAIN2D_CompareEtalon.m
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clearContext; format short; echo on;
%%
sExampleName = 'EX22a'; % 'EX01'; % 'EX23'; %
sDataDirectory = 'C:\MATLAB\R2011b'; % 'C:\Matlab\R2009b'; % 'D:\MATLAB\R2011b'; %
sBaseRunID = 'LAST'; % ''; % 'LAST'; % '20100205_170006_125'; %
[ pTask pInitWave ] = setTaskParams('Schrodinger', '2D', sExampleName, sDataDirectory, sBaseRunID); pTaskE = pTask;
%% Calc "exact" solution
[pCalc pFile] = setCalcParams(pTask, {'FFDS'}, [0 4*1200/1 4*2*(3/5)*1000/1 NaN 0 0 4*2*64/1], {'TRISYS', 'SSP', 'CONST'}); %
% [pCalc pFile] = setCalcParams(pTask, {'FFDS'}, [0 1*1200/4/10 1*(3/5)*1000/2 NaN 0 0 1*128/4], {'TRISYS', 'SSP'});
% EX02m : 4*1200/1 4*(3/5)* 800/1 NaN 0 0 4*128/1
% EX22a : 8*1200/1 8*(3/5)*1000/1 NaN 0 0 4*128/1
[pVisual pCalc] = setVisualParams(pTask, pCalc, [0 0 0 0 0], [1 10 0 0], [0 1]); % [1 0 10 0 0]
pCalc.bCalcError = false; % pVisual.bPlotTimeBehaviour = false;
echo off; tic
MAIN2D_ONE_TIME_LEVEL
echo on ; toc
pCalcE = pCalc; pFileE = pFile; sLabelYE_D = pVisual.pPlotError.sLabelY; sFileSuffixE = pVisual.pPlotError.sFileSuffix;
P = [ ...
% 4*1200/1 4*(3/5)*1000/1 4*64/1
% 2*1200/1 2*(3/5)*1000/1 2*64/1
1*1200/1 2*(3/5)*1000/1 2*64/1
% 1*1200/1 1*(3/5)*1000/1 1*64/1
% 1*1200/4/10 1*(3/5)*1000/2 1*128/4
% 8*1200/1 8*(3/5)*1000/1 8*64/1
% 1*1200/4 1*(3/5)*1000/4 1*128/4
% 1*1200/1 1*(3/5)*1000/1 1*128/2
% 1*1200/1 2*(3/5)*1000/1 1*128/1
% 1*1200/1 4*(3/5)*1000/1 1*128/1
];
% s = size(P, 1)+1;
% for j=2.^(-4:1)%(-1:1)
% for m=2.^0%(-1:1)
% for k=2.^(-4:1)%(-1:1)
% P(s, :) = [ j*1200/1 m*(3/5)*1000/1 k*64/1 ];
% s = s + 1;
% end
% end
% end
%%
% s = size(P, 1)+1;
% for j=2.^(-4:-3)%(-2:2)
% for m=2.^(2)
% for k=2.^(2)
% P(s, :) = [ j*1200/1 m*(3/5)*1000/1 k*64/1 ];
% s = s + 1;
% end
% end
% end
% s = size(P, 1)+1;
% for j=2.^(2)
% for m=2.^(-3:-3)%(-2:2)
% for k=2.^(2)
% P(s, :) = [ j*1200/1 m*(3/5)*1000/1 k*64/1 ];
% s = s + 1;
% end
% end
% end
% s = size(P, 1)+1;
% for j=2.^(2)
% for m=2.^(2)
% for k=2.^(-4:-3)%(-2:2)
% P(s, :) = [ j*1200/1 m*(3/5)*1000/1 k*64/1 ];
% s = s + 1;
% end
% end
% end
% P = unique(P, 'rows');
for pp=1:size(P, 1)
pTask = pTaskE; pCalc = []; pFile = []; pVisual = []; pp
% sExampleName = 'EX22a'; [ pTask pInitWave ] = setTaskParams('Schrodinger', '2D', sExampleName, sDataDirectory, sBaseRunID); pTaskE = pTask;
%% Calc solution
[pCalc pFile] = setCalcParams(pTask, {'FFDS'}, [0 P(pp, 1) P(pp, 2) NaN 0 0 P(pp, 3)], {'TRISYS', 'SSP', 'CONST'}); %
[pVisual pCalc] = setVisualParams(pTask, pCalc, [1 1 10 0 0], [1 10 0 0], [0 1]); % [1 0 10 0 0], [1 10 0 0]
pCalc.bCalcError = false; % pVisual.bPlotTimeBehaviour = false;
echo off; tic
MAIN2D_ONE_TIME_LEVEL
P(pp, 8) = toc;
if pVisual.bPlotTimeBehaviour
close(pVisual.pPlot3D.hFigure);
end
pCalcA = pCalc; pFileA = pFile; sLabelYA = pVisual.pPlotError.sLabelY; sFileSuffixA = pVisual.pPlotError.sFileSuffix;
%% Calc absolute and relative errors
tic
sLabelYE = sLabelYE_D;
if pCalcE.n ~= pCalcA.n || pCalcE.K ~= pCalcA.K || pCalcE.m ~= pCalcA.m
sLabelYE = [ sLabelYE ' (' ];
sLabelYA = [ sLabelYA ' (' ];
if pCalcE.n ~= pCalcA.n
sLabelYE = [ sLabelYE 'J=' num2str(pCalcE.n-1) ];
sLabelYA = [ sLabelYA 'J=' num2str(pCalcA.n-1) ];
end
if pCalcE.K ~= pCalcA.K
if pCalcE.n ~= pCalcA.n
sLabelYE = [ sLabelYE ',' ];
sLabelYA = [ sLabelYA ',' ];
end
sLabelYE = [ sLabelYE 'K=' num2str(pCalcE.K-1) ];
sLabelYA = [ sLabelYA 'K=' num2str(pCalcA.K-1) ];
end
if pCalcE.m ~= pCalcA.m
if pCalcE.K ~= pCalcA.K || pCalcE.n ~= pCalcA.n
sLabelYE = [ sLabelYE ',' ];
sLabelYA = [ sLabelYA ',' ];
end
sLabelYE = [ sLabelYE 'M=' num2str(pCalcE.m-1) ];
sLabelYA = [ sLabelYA 'M=' num2str(pCalcA.m-1) ];
end
sLabelYE = [ sLabelYE ')' ];
sLabelYA = [ sLabelYA ')' ];
end
s1 = (pCalcE.K-1)/(pCalcA.K-1);
s2 = (pCalcE.n-1)/(pCalcA.n-1);
s3 = (pCalcE.m-1)/(pCalcA.m-1);
h = pCalc.h_mod; delta = pCalc.delta;
er1 = zeros(1, pCalcA.m); er1_e = er1; er2 = er1; er2_e = er1;
hw = waitbar(0, 'Calc error: please wait...');
for k=pCalc.nFreq
if k > 1
sFullName = [ pCalcE.sWorkDirectory '\' pFileE.pSolution.sName '_M=' num2str((k-1)*s3) '.' pFileE.pSolution.sExtension ];
else
sFullName = pFileE.pSolution.sFullName;
end
U_E = loadVariable(sFullName, pFileE.pSolution.bLoad, mfilename); U_E = [ zeros(1, pCalcE.n); U_E; zeros(1, pCalcE.n) ];
if k > 1
sFullName = [ pCalcA.sWorkDirectory '\' pFileA.pSolution.sName '_M=' num2str(k-1) '.' pFileA.pSolution.sExtension ];
else
sFullName = pFileA.pSolution.sFullName;
end
U_A = loadVariable(sFullName, pFileA.pSolution.bLoad, mfilename); U_A = [ zeros(1, pCalcA.n); U_A; zeros(1, pCalcA.n) ];
%%
% if k==1
% pVisual.pPlot3D = initGraphics('3D', pVisual.pPlot3D);
% end
% Ua = U_E(1:s1:end, 1:s2:end) - U_A(:, :);
% % x = pCalc.h_mod*((0:(pCalc.n_mod-1))); y = pCalc.delta*(1:(pCalc.K-2));
% % ind_x = 1.5-0.5 <= x & x <= 1.6+0.5;
% % Ua(:, ind_x) = 0;
% pVisual.pPlot3D = plot3DSolutionAndErrorBehaviour(U_A(2:(end-1), :), Ua(2:(end-1), :), pVisual.pPlot3D, pTask);
%%
er1(k) = max(max(abs(U_E(1:s1:end, 1:s2:end) - U_A(:, :))));
er1_e(k) = max(max(abs(U_E(1:s1:end, 1:s2:end))));
er2(k) = sqrt(sum(sum(abs(U_E(1:s1:end, 1:s2:end) - U_A(:, :)).^2*h*delta)));
er2_e(k) = sqrt(sum(sum(abs(U_E(1:s1:end, 1:s2:end)).^2*h*delta)));
%% solution
% er1(k) = max(max(abs(U_E(:, :))));
% er1_e(k) = 1;
% er2(k) = sqrt(sum(sum(abs(U_E(:, :)).^2*h*delta)));
% er2_e(k) = 1;
waitbar(k/pCalc.nFreq(end), hw, sprintf('%s %0.2f%s', 'Calculate error: ', k/pCalc.nFreq(end)*100, '%'));
end
er1r = er1./er1_e; rError.CNormOfSolution = er1_e; rError.CAbs = er1; rError.CRel = er1r;
er2r = er2./er2_e; rError.L2NormOfSolution = er2_e; rError.L2Abs = er2; rError.L2Rel = er2r;
P(pp, 4) = max(er1 );
P(pp, 5) = max(er2 );
P(pp, 6) = max(er1r);
P(pp, 7) = max(er2r);
close(hw);
%% Plot absolute and relative errors
pVisual.pPlotError.sFileSuffix = [ sFileSuffixA '_VS_' sFileSuffixE ];
if isfield(pTask, 'V_Q')
pVisual.pPlotError.sFileSuffix = [ 'Q=' num2str(int32(max(pTask.V_Q))) '_' pVisual.pPlotError.sFileSuffix ];
end
if isfield(pTask, 'V_lambda')
pVisual.pPlotError.sFileSuffix = [ 'LAMBDA=' num2str(pTask.V_lambda) '_' pVisual.pPlotError.sFileSuffix ];
end
pVisual.pPlotError.sLabelY = ''; % [ sLabelYE ' vs ' sLabelYA ]; %
pVisual.pPlotError.nFontSize = pVisual.pPlotError.nFontSize - 2;
pVisual.pPlotError.nPosition = [0 0 1 1];
hf = plotErrorBehaviour(pVisual.pPlotError, [ rError.CAbs(pCalc.nFreq); rError.L2Abs(pCalc.nFreq) ]...
, [ rError.CRel(pCalc.nFreq); rError.L2Rel(pCalc.nFreq) ]); % suptitle([ sLabelYE ' vs ' sLabelYA ]);
saveImage(hf, pVisual.pPlotError, '', mfilename); close(hf);
% pVisual.pPlotError.sTitle = {''};
% hf = plotErrorBehaviour(pVisual.pPlotError, [ rError.CNormOfSolution(pCalc.nFreq); rError.L2NormOfSolution(pCalc.nFreq) ], []);
% saveImage(hf, pVisual.pPlotError, 'SOLUTION', mfilename); close(hf);
P(pp, 9) = toc;
end
csvwrite([sExampleName '_' pCalc.method '_' pCalc.type '_' datestr(now,'yyyymmdd_HHMMSS') '.csv'], P);