From 069dbdfe9687403f38e3f23bdc45fcf227683568 Mon Sep 17 00:00:00 2001 From: Jake Connor Date: Fri, 14 Apr 2017 15:36:49 -0400 Subject: [PATCH 1/4] sped up circle/ellipse generation --- CondCode/CurrentCode.m | 8 +- CondCode/GetCurrents2.m | 176 ++++++++++++++++++++++++++++++++++++++++ 2 files changed, 181 insertions(+), 3 deletions(-) create mode 100644 CondCode/GetCurrents2.m diff --git a/CondCode/CurrentCode.m b/CondCode/CurrentCode.m index ef8f748..bf7a353 100644 --- a/CondCode/CurrentCode.m +++ b/CondCode/CurrentCode.m @@ -38,14 +38,14 @@ fc = k; for i = 1:nSims % V = 1 --> R = 1/I - Res(k,i) = 1/GetCurrents(ncircs,Max(k),nx,ny,... + Res(k,i) = 1/GetCurrents2(ncircs,Max(k),nx,ny,... Acond,Bcond,doPlot,SimType); end end else %if SimType == 'e' n = 20; - nSims = 30; + nSims = 1; Res = zeros(n, nSims); for k = 1:n @@ -53,13 +53,15 @@ fc = k; for i = 1:nSims % V = 1 --> R = 1/I - Res(k,i) = 1 / GetCurrents(Max(k), 10, nx, ny,... + Res(k,i) = 1 / GetCurrents2(Max(k), 10, nx, ny,... Acond, Bcond, doPlot, SimType); end end end +global im map; + if doPlot imwrite(im, map, 'imagefile.gif', 'DelayTime', 0.2, 'LoopCount', inf); figure diff --git a/CondCode/GetCurrents2.m b/CondCode/GetCurrents2.m new file mode 100644 index 0000000..15d5df1 --- /dev/null +++ b/CondCode/GetCurrents2.m @@ -0,0 +1,176 @@ +function [ Curr ] = GetCurrents2(ngeo, Max, nx, ny, Acond, Bcond, plot, SimType) +global im fig fc map + +ix = 1:nx; +iy = 1:ny; +[xx,yy] = meshgrid(ix,iy); +ft = 0*xx; +cMap = zeros(nx,ny) + Acond; + +if SimType == 'c' + pgeo = rand(ngeo, 2); + pgeo(:, 1) = pgeo(:, 1) * nx; + pgeo(:, 2) = pgeo(:, 2) * ny; + rgeo = rand(ngeo,1)*Max; + rcircs2 = rgeo.^2; + + + for p = 1:ngeo + ft = ((pgeo(p,1) - xx).^2 + (pgeo(p,2) - yy).^2) <= rcircs2(p); + cMap(ft) = Bcond; + end + +else %if SimType == 'e' + pgeo = rand(ngeo, 3); + pgeo(:, 1) = pgeo(:, 1) * nx; + pgeo(:, 2) = pgeo(:, 2) * ny; + pgeo(:, 3) = pgeo(:, 2) * 180; + rgeo = ones(ngeo, 1) * Max; + + %pgeo(p,1) = xloc + %pgeo(p,2) = yloc + %rgeo(p,2) = xrad + %rgeo(p,2) = yrad + %pgeo(p,3) = rotation (degrees) + % cMap = zeros(nx, ny); + + for p = 1:ngeo + ft = (... + (((xx-pgeo(p,1))*cosd(pgeo(p,3)) + (yy-pgeo(p,2))*sind(pgeo(p,3)))/(rgeo(p,1)*1)).^2 ... + + (((xx-pgeo(p,1))*sind(pgeo(p,3)) - (yy-pgeo(p,2))*cosd(pgeo(p,3)))/(rgeo(p,1)/4)).^2 ... + ) <= 1; + cMap(ft) = Bcond; + end + +end + + +G = sparse(nx*ny); +B = zeros(1,nx*ny); + +for i = 1:nx + for j = 1:ny + n = j + (i - 1) * ny; + + if i == 1 + G(n, :) = 0; + G(n, n) = 1; + B(n) = 1; + elseif i == nx + G(n, :) = 0; + G(n, n) = 1; + elseif j == 1 + nxm = j + (i - 2) * ny; + nxp = j + (i) * ny; + nyp = j + 1 + (i - 1) * ny; + + rxm = (cMap(i, j) + cMap(i - 1, j)) / 2.0; + rxp = (cMap(i, j) + cMap(i + 1, j)) / 2.0; + ryp = (cMap(i, j) + cMap(i, j + 1)) / 2.0; + + G(n, n) = -(rxm+rxp+ryp); + G(n, nxm) = rxm; + G(n, nxp) = rxp; + G(n, nyp) = ryp; + + elseif j == ny + nxm = j + (i - 2) * ny; + nxp = j + (i) * ny; + nym = j - 1 + (i - 1) * ny; + + rxm = (cMap(i, j) + cMap(i - 1, j)) / 2.0; + rxp = (cMap(i, j) + cMap(i + 1, j)) / 2.0; + rym = (cMap(i, j) + cMap(i, j - 1)) / 2.0; + + G(n, n) = -(rxm + rxp + rym); + G(n, nxm) = rxm; + G(n, nxp) = rxp; + G(n, nym) = rym; + else + nxm = j + (i-2)*ny; + nxp = j + (i)*ny; + nym = j-1 + (i-1)*ny; + nyp = j+1 + (i-1)*ny; + + rxm = (cMap(i,j) + cMap(i-1,j))/2.0; + rxp = (cMap(i,j) + cMap(i+1,j))/2.0; + rym = (cMap(i,j) + cMap(i,j-1))/2.0; + ryp = (cMap(i,j) + cMap(i,j+1))/2.0; + + G(n,n) = -(rxm+rxp+rym+ryp); + G(n,nxm) = rxm; + G(n,nxp) = rxp; + G(n,nym) = rym; + G(n,nyp) = ryp; + end + + end +end + +V = G\B'; + +Vmap = zeros(nx,ny); +for i = 1:nx + for j = 1:ny + n = j + (i - 1) * ny; + + Vmap(i, j) = V(n); + end +end + +for i = 1:nx + for j = 1:ny + if i == 1 + Ex(i, j) = (Vmap(i + 1, j) - Vmap(i, j)); + elseif i == nx + Ex(i, j) = (Vmap(i, j) - Vmap(i - 1, j)); + else + Ex(i, j) = (Vmap(i + 1, j) - Vmap(i - 1, j)) * 0.5; + end + if j == 1 + Ey(i, j) = (Vmap(i, j + 1) - Vmap(i, j)); + elseif j == ny + Ey(i, j) = (Vmap(i, j) - Vmap(i, j - 1)); + else + Ey(i, j) = (Vmap(i, j + 1) - Vmap(i, j - 1)) * 0.5; + end + end +end + +Ex = -Ex; +Ey = -Ey; + +eFlowx = cMap .* Ex; +eFlowy = cMap .* Ey; + +if plot + if fc == 1 + fig = figure(); + end + + subplot(2, 2, 1), H = surf(cMap'); + set(H, 'linestyle', 'none'); + view(0, 90); title('Current') + subplot(2, 2, 2), H = surf(Vmap'); + set(H, 'linestyle', 'none'); + view(0, 90); title('Voltage') + subplot(2, 2, 3), quiver(Ex', Ey'); + axis([0 nx 0 ny]); title('E Field') + subplot(2, 2, 4), quiver(eFlowx', eFlowy'); + axis([0 nx 0 ny]); title('E field * Current') + + if fc == 1 + f = getframe(fig); + [im, map] = rgb2ind(f.cdata, 256, 'nodither'); + im(1, 1, 1, 2) = 0; + else + f = getframe(fig); + im(:, :, 1, fc) = rgb2ind(f.cdata, map, 'nodither'); + end +end + +C0 = sum(eFlowx(1, :)); +Cnx = sum(eFlowx(nx, :)); +Curr = (C0 + Cnx) * 0.5; + +end From 74c352161d31dda83fd7a71589908dbe46bc8e9e Mon Sep 17 00:00:00 2001 From: Jake Connor Date: Fri, 14 Apr 2017 15:44:27 -0400 Subject: [PATCH 2/4] benchmarking commit type = 'e', n = 20, nsims = 1 old getcurrents: 332.0 seconds new getcurrents: 6.8 seconds --- CondCode/CurrentCode.m | 2 ++ 1 file changed, 2 insertions(+) diff --git a/CondCode/CurrentCode.m b/CondCode/CurrentCode.m index bf7a353..201ea1b 100644 --- a/CondCode/CurrentCode.m +++ b/CondCode/CurrentCode.m @@ -53,6 +53,8 @@ fc = k; for i = 1:nSims % V = 1 --> R = 1/I + Res(k,i) = 1 / GetCurrents(Max(k), 10, nx, ny,... + Acond, Bcond, doPlot, SimType); Res(k,i) = 1 / GetCurrents2(Max(k), 10, nx, ny,... Acond, Bcond, doPlot, SimType); end From de93ae9c5eb61f4a78c3857b7ca1648d1dc4eb1f Mon Sep 17 00:00:00 2001 From: Jake Connor Date: Fri, 14 Apr 2017 15:50:36 -0400 Subject: [PATCH 3/4] fin --- CondCode/CurrentCode.m | 4 +- CondCode/GetCurrents.m | 59 +++++++------- CondCode/GetCurrents2.m | 176 ---------------------------------------- CondCode/imagefile.gif | Bin 41113 -> 601071 bytes 4 files changed, 30 insertions(+), 209 deletions(-) delete mode 100644 CondCode/GetCurrents2.m diff --git a/CondCode/CurrentCode.m b/CondCode/CurrentCode.m index 201ea1b..0987d06 100644 --- a/CondCode/CurrentCode.m +++ b/CondCode/CurrentCode.m @@ -45,7 +45,7 @@ else %if SimType == 'e' n = 20; - nSims = 1; + nSims = 30; Res = zeros(n, nSims); for k = 1:n @@ -55,8 +55,6 @@ % V = 1 --> R = 1/I Res(k,i) = 1 / GetCurrents(Max(k), 10, nx, ny,... Acond, Bcond, doPlot, SimType); - Res(k,i) = 1 / GetCurrents2(Max(k), 10, nx, ny,... - Acond, Bcond, doPlot, SimType); end end diff --git a/CondCode/GetCurrents.m b/CondCode/GetCurrents.m index f17c442..620672b 100644 --- a/CondCode/GetCurrents.m +++ b/CondCode/GetCurrents.m @@ -1,6 +1,12 @@ function [ Curr ] = GetCurrents(ngeo, Max, nx, ny, Acond, Bcond, plot, SimType) global im fig fc map +ix = 1:nx; +iy = 1:ny; +[xx,yy] = meshgrid(ix,iy); +ft = 0*xx; +cMap = zeros(nx,ny) + Acond; + if SimType == 'c' pgeo = rand(ngeo, 2); pgeo(:, 1) = pgeo(:, 1) * nx; @@ -8,20 +14,12 @@ rgeo = rand(ngeo,1)*Max; rcircs2 = rgeo.^2; - cMap = zeros(nx,ny); - - for i = 1:nx - for j = 1:ny - cMap(i,j) = Acond; - for p = 1:ngeo - dx = (pgeo(p, 1) - i); - dy = (pgeo(p, 2) - j); - if dx * dx + dy * dy < rcircs2(p) - cMap(i, j) = Bcond; - end - end - end + + for p = 1:ngeo + ft = ((pgeo(p,1) - xx).^2 + (pgeo(p,2) - yy).^2) <= rcircs2(p); + cMap(ft) = Bcond; end + else %if SimType == 'e' pgeo = rand(ngeo, 3); pgeo(:, 1) = pgeo(:, 1) * nx; @@ -29,20 +27,21 @@ pgeo(:, 3) = pgeo(:, 2) * 180; rgeo = ones(ngeo, 1) * Max; - cMap = zeros(nx, ny); - - for i = 1:nx - for j = 1:ny - cMap(i, j) = Acond; - for p = 1:ngeo - point = [i, j]; - el = [pgeo(p, 1), pgeo(p, 2),rgeo(p), rgeo(p) / 4, pgeo(p, 3)]; - if isPointInEllipse(point, el) - cMap(i, j)= Bcond; - end - end - end + %pgeo(p,1) = xloc + %pgeo(p,2) = yloc + %rgeo(p,2) = xrad + %rgeo(p,2) = yrad + %pgeo(p,3) = rotation (degrees) + % cMap = zeros(nx, ny); + + for p = 1:ngeo + ft = (... + (((xx-pgeo(p,1))*cosd(pgeo(p,3)) + (yy-pgeo(p,2))*sind(pgeo(p,3)))/(rgeo(p,1)*1)).^2 ... + + (((xx-pgeo(p,1))*sind(pgeo(p,3)) - (yy-pgeo(p,2))*cosd(pgeo(p,3)))/(rgeo(p,1)/4)).^2 ... + ) <= 1; + cMap(ft) = Bcond; end + end @@ -151,14 +150,14 @@ subplot(2, 2, 1), H = surf(cMap'); set(H, 'linestyle', 'none'); - view(0, 90) + view(0, 90); title('Current') subplot(2, 2, 2), H = surf(Vmap'); set(H, 'linestyle', 'none'); - view(0, 90) + view(0, 90); title('Voltage') subplot(2, 2, 3), quiver(Ex', Ey'); - axis([0 nx 0 ny]); + axis([0 nx 0 ny]); title('E Field') subplot(2, 2, 4), quiver(eFlowx', eFlowy'); - axis([0 nx 0 ny]); + axis([0 nx 0 ny]); title('E field * Current') if fc == 1 f = getframe(fig); diff --git a/CondCode/GetCurrents2.m b/CondCode/GetCurrents2.m deleted file mode 100644 index 15d5df1..0000000 --- a/CondCode/GetCurrents2.m +++ /dev/null @@ -1,176 +0,0 @@ -function [ Curr ] = GetCurrents2(ngeo, Max, nx, ny, Acond, Bcond, plot, SimType) -global im fig fc map - -ix = 1:nx; -iy = 1:ny; -[xx,yy] = meshgrid(ix,iy); -ft = 0*xx; -cMap = zeros(nx,ny) + Acond; - -if SimType == 'c' - pgeo = rand(ngeo, 2); - pgeo(:, 1) = pgeo(:, 1) * nx; - pgeo(:, 2) = pgeo(:, 2) * ny; - rgeo = rand(ngeo,1)*Max; - rcircs2 = rgeo.^2; - - - for p = 1:ngeo - ft = ((pgeo(p,1) - xx).^2 + (pgeo(p,2) - yy).^2) <= rcircs2(p); - cMap(ft) = Bcond; - end - -else %if SimType == 'e' - pgeo = rand(ngeo, 3); - pgeo(:, 1) = pgeo(:, 1) * nx; - pgeo(:, 2) = pgeo(:, 2) * ny; - pgeo(:, 3) = pgeo(:, 2) * 180; - rgeo = ones(ngeo, 1) * Max; - - %pgeo(p,1) = xloc - %pgeo(p,2) = yloc - %rgeo(p,2) = xrad - %rgeo(p,2) = yrad - %pgeo(p,3) = rotation (degrees) - % cMap = zeros(nx, ny); - - for p = 1:ngeo - ft = (... - (((xx-pgeo(p,1))*cosd(pgeo(p,3)) + (yy-pgeo(p,2))*sind(pgeo(p,3)))/(rgeo(p,1)*1)).^2 ... - + (((xx-pgeo(p,1))*sind(pgeo(p,3)) - (yy-pgeo(p,2))*cosd(pgeo(p,3)))/(rgeo(p,1)/4)).^2 ... - ) <= 1; - cMap(ft) = Bcond; - end - -end - - -G = sparse(nx*ny); -B = zeros(1,nx*ny); - -for i = 1:nx - for j = 1:ny - n = j + (i - 1) * ny; - - if i == 1 - G(n, :) = 0; - G(n, n) = 1; - B(n) = 1; - elseif i == nx - G(n, :) = 0; - G(n, n) = 1; - elseif j == 1 - nxm = j + (i - 2) * ny; - nxp = j + (i) * ny; - nyp = j + 1 + (i - 1) * ny; - - rxm = (cMap(i, j) + cMap(i - 1, j)) / 2.0; - rxp = (cMap(i, j) + cMap(i + 1, j)) / 2.0; - ryp = (cMap(i, j) + cMap(i, j + 1)) / 2.0; - - G(n, n) = -(rxm+rxp+ryp); - G(n, nxm) = rxm; - G(n, nxp) = rxp; - G(n, nyp) = ryp; - - elseif j == ny - nxm = j + (i - 2) * ny; - nxp = j + (i) * ny; - nym = j - 1 + (i - 1) * ny; - - rxm = (cMap(i, j) + cMap(i - 1, j)) / 2.0; - rxp = (cMap(i, j) + cMap(i + 1, j)) / 2.0; - rym = (cMap(i, j) + cMap(i, j - 1)) / 2.0; - - G(n, n) = -(rxm + rxp + rym); - G(n, nxm) = rxm; - G(n, nxp) = rxp; - G(n, nym) = rym; - else - nxm = j + (i-2)*ny; - nxp = j + (i)*ny; - nym = j-1 + (i-1)*ny; - nyp = j+1 + (i-1)*ny; - - rxm = (cMap(i,j) + cMap(i-1,j))/2.0; - rxp = (cMap(i,j) + cMap(i+1,j))/2.0; - rym = (cMap(i,j) + cMap(i,j-1))/2.0; - ryp = (cMap(i,j) + cMap(i,j+1))/2.0; - - G(n,n) = -(rxm+rxp+rym+ryp); - G(n,nxm) = rxm; - G(n,nxp) = rxp; - G(n,nym) = rym; - G(n,nyp) = ryp; - end - - end -end - -V = G\B'; - -Vmap = zeros(nx,ny); -for i = 1:nx - for j = 1:ny - n = j + (i - 1) * ny; - - Vmap(i, j) = V(n); - end -end - -for i = 1:nx - for j = 1:ny - if i == 1 - Ex(i, j) = (Vmap(i + 1, j) - Vmap(i, j)); - elseif i == nx - Ex(i, j) = (Vmap(i, j) - Vmap(i - 1, j)); - else - Ex(i, j) = (Vmap(i + 1, j) - Vmap(i - 1, j)) * 0.5; - end - if j == 1 - Ey(i, j) = (Vmap(i, j + 1) - Vmap(i, j)); - elseif j == ny - Ey(i, j) = (Vmap(i, j) - Vmap(i, j - 1)); - else - Ey(i, j) = (Vmap(i, j + 1) - Vmap(i, j - 1)) * 0.5; - end - end -end - -Ex = -Ex; -Ey = -Ey; - -eFlowx = cMap .* Ex; -eFlowy = cMap .* Ey; - -if plot - if fc == 1 - fig = figure(); - end - - subplot(2, 2, 1), H = surf(cMap'); - set(H, 'linestyle', 'none'); - view(0, 90); title('Current') - subplot(2, 2, 2), H = surf(Vmap'); - set(H, 'linestyle', 'none'); - view(0, 90); title('Voltage') - subplot(2, 2, 3), quiver(Ex', Ey'); - axis([0 nx 0 ny]); title('E Field') - subplot(2, 2, 4), quiver(eFlowx', eFlowy'); - axis([0 nx 0 ny]); title('E field * Current') - - if fc == 1 - f = getframe(fig); - [im, map] = rgb2ind(f.cdata, 256, 'nodither'); - im(1, 1, 1, 2) = 0; - else - f = getframe(fig); - im(:, :, 1, fc) = rgb2ind(f.cdata, map, 'nodither'); - end -end - -C0 = sum(eFlowx(1, :)); -Cnx = sum(eFlowx(nx, :)); -Curr = (C0 + Cnx) * 0.5; - 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