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% Tests 1D, 2D and 3D optimal interpolation.
% All tests should pass; any error indicates that either
% there is a bug in the optimal interpolation package or
% that it is incrorrectly installed.
function test_optiminterp_mult
more off
printf('Testing multiple 1D-optimal interpolation: ');
try
% grid of background field
xi = linspace(0,1,50)';
fi_ref(:,1) = sin( xi*6 );
fi_ref(:,2) = cos( xi*6 );
% grid of observations
x = linspace(0,1,20)';
on = numel(x);
var = 0.01 * ones(on,1);
f(:,1) = sin( x*6 );
f(:,2) = cos( x*6 );
m = 15;
[fi,vari] = optiminterp1(x,f,var,0.1,m,xi);
rms = sqrt(mean((fi_ref(:) - fi(:)).^2));
if (rms > 0.005)
error('unexpected large difference with reference field');
end
disp('OK');
catch
disp('failed');
disp(lasterr);
end
printf('Testing multiple 2D-optimal interpolation: ');
try
clear fi_ref f
% grid of background field
[xi,yi] = ndgrid(linspace(0,1,30));
fi_ref(:,:,1) = sin( xi*6 ) .* cos( yi*6);
fi_ref(:,:,2) = cos( xi*6 ) .* sin( yi*6);
% grid of observations
[x,y] = ndgrid(linspace(0,1,20));
on = numel(x);
var = 0.01 * ones(on,1);
f(:,:,1) = sin( x*6 ) .* cos( y*6);
f(:,:,2) = cos( x*6 ) .* sin( y*6);
m = 30;
[fi,vari] = optiminterp2(x,y,f,var,0.1,0.1,m,xi,yi);
rms = sqrt(mean((fi_ref(:) - fi(:)).^2));
if (rms > 0.005)
error('unexpected large difference with reference field');
end
disp('OK');
catch
disp('failed');
disp(lasterr);
end
printf('Testing multiple 3D-optimal interpolation: ');
try
clear fi_ref f
% grid of background field
[xi,yi,zi] = ndgrid(linspace(0,1,15));
fi_ref(:,:,:,1) = sin(6*xi) .* cos(6*yi) .* sin(6*zi);
fi_ref(:,:,:,2) = cos(6*xi) .* sin(6*yi) .* cos(6*zi);
% grid of observations
[x,y,z] = ndgrid(linspace(0,1,10));
on = numel(x);
var = 0.01 * ones(on,1);
f(:,:,:,1) = sin(6*x) .* cos(6*y) .* sin(6*z);
f(:,:,:,2) = cos(6*x) .* sin(6*y) .* cos(6*z);
m = 20;
[fi,vari] = optiminterp3(x,y,z,f,var,0.1,0.1,0.1,m,xi,yi,zi);
rms = sqrt(mean((fi_ref(:) - fi(:)).^2));
if (rms > 0.04)
error('unexpected large difference with reference field');
end
disp('OK');
catch
disp('failed');
disp(lasterr);
end
printf('Testing multiple 4D-optimal interpolation: ');
try
clear fi_ref f
% grid of background field
[xi,yi,zi,ti] = ndgrid(linspace(0,1,5));
fi_ref(:,:,:,:,1) = sin(6*xi) .* cos(6*yi) .* sin(6*zi) .* cos(6*ti);
fi_ref(:,:,:,:,2) = cos(6*xi) .* sin(6*yi) .* cos(6*zi) .* sin(6*ti);
% grid of observations
[x,y,z,t] = ndgrid(linspace(0,1,10));
x = x(:);
y = y(:);
z = z(:);
t = t(:);
on = numel(x);
var = 0.01 * ones(on,1);
f(:,:,:,:,1) = sin(6*x) .* cos(6*y) .* sin(6*z) .* cos(6*t);
f(:,:,:,:,2) = cos(6*x) .* sin(6*y) .* cos(6*z) .* sin(6*t);
m = 20;
[fi,vari] = optiminterp4(x,y,z,t,f,var,0.1,0.1,0.1,0.1,m,xi,yi,zi,ti);
rms = sqrt(mean((fi_ref(:) - fi(:)).^2));
if (rms > 0.04)
error('unexpected large difference with reference field');
end
disp('OK');
catch
disp('failed');
disp(lasterr);
end
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