fn main() { // This code adapted from here: https://github.com/blademwang11/Topopt/blob/master/top88.m let script = " function xPhys = top88(nelx,nely,volfrac,penalMax,rmin) E0 = 1; Emin = 1e-9; nu = 0.3; penal = 0.96; A11 = [12 3 -6 -3; 3 12 3 0; -6 3 12 -3; -3 0 -3 12]; A12 = [-6 -3 0 3; -3 -6 -3 -6; 0 -3 -6 3; 3 -6 3 -6]; B11 = [-4 3 -2 9; 3 -4 -9 4; -2 -9 -4 -3; 9 4 -3 -4]; B12 = [ 2 -3 4 -9; -3 2 9 -2; 4 9 2 3; -9 -2 3 2]; KE = 1/(1-nu^2)/24*([A11 A12;A12' A11]+nu*[B11 B12;B12' B11]); nodenrs = reshape(1:(1+nelx)*(1+nely),1+nely,1+nelx); edofVec = reshape(2*nodenrs(1:end-1,1:end-1)+1,nelx*nely,1); edofMat = repmat(edofVec,1,8)+repmat([0 1 2*nely+[2 3 0 1] -2 -1],nelx*nely,1); iK = reshape(kron(edofMat,ones(8,1))',64*nelx*nely,1); jK = reshape(kron(edofMat,ones(1,8))',64*nelx*nely,1); F = sparse(2,1,-1,2*(nely+1)*(nelx+1),1); U = zeros(2*(nely+1)*(nelx+1),1); fixeddofs = union([1:2:2*(nely+1)],[2*(nelx+1)*(nely+1)]); alldofs = [1:2*(nely+1)*(nelx+1)]; freedofs = setdiff(alldofs,fixeddofs); iH = ones(nelx*nely*(2*(ceil(rmin)-1)+1)^2,1); jH = ones(size(iH)); sH = zeros(size(iH)); k = 0; for i1 = 1:nelx for j1 = 1:nely e1 = (i1-1)*nely+j1; for i2 = max(i1-(ceil(rmin)-1),1):min(i1+(ceil(rmin)-1),nelx) for j2 = max(j1-(ceil(rmin)-1),1):min(j1+(ceil(rmin)-1),nely) e2 = (i2-1)*nely+j2; k = k+1; iH(k) = e1; jH(k) = e2; sH(k) = max(0,rmin-sqrt((i1-i2)^2+(j1-j2)^2)); endfor endfor endfor endfor H = sparse(iH,jH,sH); Hs = sum(H,2); x = repmat(volfrac,nely,nelx); xPhys = x; loop = 0; change = 1; while (change > 0.01) loop = loop + 1; penal = min(penalMax, penal + 0.04); %% FE-ANALYSIS sK = reshape(KE(:)*(Emin+xPhys(:)'.^penal*(E0-Emin)),64*nelx*nely,1); K = sparse(iK,jK,sK); K = (K+K')/2; tic; U(freedofs) = K(freedofs,freedofs)\\F(freedofs); toc; ce = reshape(sum((U(edofMat)*KE).*U(edofMat),2),nely,nelx); c = sum(sum((Emin+xPhys.^penal*(E0-Emin)).*ce)); dc = -penal*(E0-Emin)*xPhys.^(penal-1).*ce; dv = ones(nely,nelx); dc(:) = H*(dc(:)./Hs); dv(:) = H*(dv(:)./Hs); l1 = 0; l2 = 1e9; move = 0.2; while ((l2-l1)/(l1+l2) > 1e-3) lmid = 0.5*(l2+l1); xnew = max(0,max(x-move,min(1,min(x+move,x.*sqrt(-dc./dv/lmid))))); xPhys(:) = (H*xnew(:))./Hs; if sum(xPhys(:)) > volfrac*nelx*nely, l1 = lmid; else l2 = lmid; endif endwhile change = max(abs(xnew(:)-x(:))); x = xnew; endwhile endfunction z = top88(10,10,0.5,3,3); "; let y = mocktave::eval(script); println!("{y:#?}"); }