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SaveFunctions.m
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SaveFunctions.m
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% Copyright (C) 2018-2021 Pedro Gomes
% See full notice in NOTICE.md
%
1+1; clear ans % little hack to make this a "header" file
%% Write the hex elements of a 3D grid
function nel = writeHexBlock(fid,idx,offset,annulus)
[M,N,P] = size(idx);
v0 = idx(1:M-1, 1+annulus:N-1, 1:P-1); v0 = reshape(v0,1,numel(v0));
v1 = idx(1:M-1, 2+annulus:N, 1:P-1); v1 = reshape(v1,1,numel(v1));
v2 = idx( 2:M, 2+annulus:N, 1:P-1); v2 = reshape(v2,1,numel(v2));
v3 = idx( 2:M, 1+annulus:N-1, 1:P-1); v3 = reshape(v3,1,numel(v3));
v4 = idx(1:M-1, 1+annulus:N-1, 2:P ); v4 = reshape(v4,1,numel(v4));
v5 = idx(1:M-1, 2+annulus:N, 2:P ); v5 = reshape(v5,1,numel(v5));
v6 = idx( 2:M, 2+annulus:N, 2:P ); v6 = reshape(v6,1,numel(v6));
v7 = idx( 2:M, 1+annulus:N-1, 2:P ); v7 = reshape(v7,1,numel(v7));
eli = (0:((M-1)*(N-1-annulus)*(P-1)-1))+offset;
fprintf(fid,"12 %i %i %i %i %i %i %i %i %i\n",...
[v0; v3; v2; v1; v4; v7; v6; v5; eli]);
nel = eli(end)+1;
endfunction
%% Write wedge (triangular prism) elements
function nel = writeWedgeBlock(fid,tri,idx,offset)
M = rows(tri);
[N,P] = size(idx);
for i=1:P-1
v0 = idx(tri(:,1), i )'; v1 = idx(tri(:,2), i )'; v2 = idx(tri(:,3), i )';
v3 = idx(tri(:,1),i+1)'; v4 = idx(tri(:,2),i+1)'; v5 = idx(tri(:,3),i+1)';
eli = (0:M-1)+offset;
fprintf(fid,"13 %i %i %i %i %i %i %i\n",...
[v0; v1; v2; v3; v4; v5; eli]);
offset = eli(end)+1;
endfor
nel = offset;
endfunction
%% Write the point coordinates of a 3D hex grid
function npt = write3Dgrid(fid,X,Y,Z,dominated,offset)
[M,N,P] = size(X);
i = 1+dominated(1):M-dominated(2);
j = 1+dominated(3):N-dominated(4);
k = 1+dominated(5):P-dominated(6);
npt = numel(i)*numel(j)*numel(k);
x = reshape(X(i,j,k),1,npt);
y = reshape(Y(i,j,k),1,npt);
z = reshape(Z(i,j,k),1,npt);
idx = (0:npt-1)+offset;
fprintf(fid,"%e %e %e %i\n",[x; z; y; idx]);
npt = idx(end)+1;
endfunction
%% Write the point coordinates of a wedge block
function npt = writeWedgePts(fid,X,Y,Z,dominated,offset)
[N,P] = size(X);
keep = repmat(dominated==0,P,1);
x = reshape(X,1,N*P)(keep);
y = reshape(Y,1,N*P)(keep);
z = reshape(Z,1,N*P)(keep);
npt = sum(keep);
idx = (0:npt-1)+offset;
fprintf(fid,"%e %e %e %i\n",[x; z; y; idx]);
npt = idx(end)+1;
endfunction
%% Write IJ boundary of a 3D grid (quad elements)
function writeIJboundary(fid,idx,annulus,k,flip=false)
M = numel(idx(2:end,2+annulus:end,1));
v0 = reshape(idx(1:end-1, 1+annulus:end-1, k),1,M);
v1 = reshape(idx(1:end-1, 2+annulus:end, k),1,M);
v2 = reshape(idx( 2:end, 2+annulus:end, k),1,M);
v3 = reshape(idx( 2:end, 1+annulus:end-1, k),1,M);
if flip
fprintf(fid,"9 %i %i %i %i\n",[v0; v3; v2; v1]);
else
fprintf(fid,"9 %i %i %i %i\n",[v0; v1; v2; v3]);
endif
endfunction
%% Write JK boundary of a 3D grid (quad elements)
function writeJKboundary(fid,idx,annulus,i,jRange=[],kRange=[],flip=false)
[~,N,P] = size(idx);
if isempty(jRange)
jRange = 1+annulus:N-1;
else
jRange = annulus+jRange(1:end-1);
endif
if isempty(kRange)
kRange = 1:P-1;
else
kRange = kRange(1:end-1);
endif
M = numel(jRange)*numel(kRange);
v0 = reshape(idx(i, jRange, kRange ),1,M);
v1 = reshape(idx(i, jRange, kRange+1),1,M);
v2 = reshape(idx(i, jRange+1, kRange+1),1,M);
v3 = reshape(idx(i, jRange+1, kRange ),1,M);
if flip
fprintf(fid,"9 %i %i %i %i\n",[v0; v3; v2; v1]);
else
fprintf(fid,"9 %i %i %i %i\n",[v0; v1; v2; v3]);
endif
endfunction
%% Write IK boundary of a 3D grid (quad elements)
function writeIKboundary(fid,idx,j,iRange=[],kRange=[],flip=false)
[N,~,P] = size(idx);
if isempty(iRange)
iRange = 1:N-1;
else
iRange = iRange(1:end-1);
endif
if isempty(kRange)
kRange = 1:P-1;
else
kRange = kRange(1:end-1);
endif
M = numel(iRange)*numel(kRange);
v0 = reshape(idx( iRange, j, kRange ),1,M);
v1 = reshape(idx( iRange, j, kRange+1),1,M);
v2 = reshape(idx(iRange+1, j, kRange+1),1,M);
v3 = reshape(idx(iRange+1, j, kRange ),1,M);
if flip
fprintf(fid,"9 %i %i %i %i\n",[v0; v3; v2; v1]);
else
fprintf(fid,"9 %i %i %i %i\n",[v0; v1; v2; v3]);
endif
endfunction
%% Write boundary of triangles (section of wedge block)
function writeTriPatch(fid,tri,idx,k,flip=false)
v0 = idx(tri(:,1),k)';
v1 = idx(tri(:,2),k)';
v2 = idx(tri(:,3),k)';
if flip
fprintf(fid,"5 %i %i %i\n",[v0; v1; v2]);
else
fprintf(fid,"5 %i %i %i\n",[v0; v2; v1]);
endif
endfunction
%% Write the top and bottom of the wedge block (quad elements)
function writeWedgeEnds(fid,idx,mask,kRange=[],bottom=true,top=true,flip=false)
[N,P] = size(idx);
if isempty(kRange)
kRange = 1:P-1;
else
kRange = kRange(1:end-1);
endif
i0 = 1; i3 = 0;
while i3 != N
for i2 = i0+1:N
if mask(i2) != 0
i1 = i2+1;
for i3 = i1+1:N
if mask(i3) != 0
break;
endif
endfor
break;
endif
endfor
if bottom
v0 = idx(i0, kRange );
v1 = idx(i0,kRange+1);
v2 = idx(i1,kRange+1);
v3 = idx(i1, kRange );
if flip
fprintf(fid,"9 %i %i %i %i\n",[v0; v3; v2; v1]);
else
fprintf(fid,"9 %i %i %i %i\n",[v0; v1; v2; v3]);
endif
endif
if top
v0 = idx(i2, kRange );
v1 = idx(i2,kRange+1);
v2 = idx(i3,kRange+1);
v3 = idx(i3, kRange );
if flip
fprintf(fid,"9 %i %i %i %i\n",[v0; v3; v2; v1]);
else
fprintf(fid,"9 %i %i %i %i\n",[v0; v1; v2; v3]);
endif
endif
i0 = i1;
endwhile
endfunction