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m20160811_02_compare2CoilsetsFromRegcoil.m
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%regcoilFilenames = {'20160801-01-066-W7X-leastSquaresScan_mdspw3/nu128_nv128_mf3_nf3_nescoil/regcoil_out.w7x.nc'};
%{
regcoilFilenames = {...
'20160801-01-066-W7X-leastSquaresScan_mdspw3/nu128_nv128_mf3_nf3_nescoil/regcoil_out.w7x.nc',...
'20160801-01-078-W7X_REGCOIL_withBnorm_mpol32_ntor32_ntheta128_nzeta128_tightAlphaRange/regcoil_out.w7x.nc'};
ilambdas = [1, 60+1]
%}
regcoilFilenames = {...
'20160801-01-066-W7X-leastSquaresScan_mdspw3/nu128_nv128_mf3_nf3_nescoil/regcoil_out.w7x.nc',...
'20160801-01-069-W7X_nescoil_svd_scan_mpol24_ntor24_ntheta128_nzeta128_mdspw3/regcoil_out.w7x.nc'};
%ilambdas = [1, 1108+1]
ilambdas = [1, 1109+1]
nescinFilenames = {'W7X/nescin.d23p4_tm_with_winding_surface_from_Drevlak',...
'W7X/nescin.d23p4_tm_with_winding_surface_from_Drevlak'};
%filenames = {'20160801-01-012-W7X_REGCOIL_noBnorm_mpol8_ntor8_ntheta64_nzeta64/regcoil_out.w7x.nc',...
% '20160801-01-012-W7X_REGCOIL_noBnorm_mpol8_ntor8_ntheta64_nzeta64/regcoil_out.w7x.nc'};
%regcoilFilenames = {'20160801-01-079-W7X_REGCOIL_withBnorm_mpol32_ntor32_ntheta128_nzeta128_uniform_0.5m_offset/regcoil_out.w7x.nc',...
% '20160801-01-080-W7X_REGCOIL_withBnorm_mpol32_ntor32_ntheta128_nzeta128_uniform_0.5m_offset_eqarc/regcoil_out.w7x.nc'};
%nescinFilenames = {'/global/cscratch1/sd/landrema/20160801-01-regcoilPaper/W7X/nescin.d23p4_tm_uniform_0.5m_offset',...
% '/global/cscratch1/sd/landrema/20160801-01-regcoilPaper/W7X/nescin.d23p4_tm_uniform_0.5m_offset_eqarc'};
%filename='/Users/mattland/Box Sync/work16/nescoutTo3DCoils/nescout.d23p4_tm_separation0.25_4x4';
%filenames={'/Users/mattland/Box Sync/work16/nescoutTo3DCoils/nescout.d23p4_tm_separation0.5_4x4_eqarc',...
% '/Users/mattland/Box Sync/work16/nescoutTo3DCoils/nescout.d23p4_tm_separation0.5_4x4'};
%filenames={'/Users/mattland/Box Sync/work16/nescoutTo3DCoils/nescout.d23p4_tm_separation0.5_4x4',...
% '/Users/mattland/Box Sync/work16/nescoutTo3DCoils/nescout.d23p4_tm_separation0.5_4x4_eqarc'};
%filename='/Users/mattland/Box Sync/work16/nescoutTo3DCoils/nescout.d23p4_tm_separation0.75_4x4';
% 20160730: This script has been updated to use the correct sign for the secular part of the current potential.
coil_thickness = 0.05;
colors = [1,0,0;
1,0.7,0;
0,0.8,0;
0,0,1;
1,0,1];
ntheta=150;
nzeta=160;
figure(4)
clf
for whichFile = 1:2
ilambda = ilambdas(whichFile);
% Read regcoil_out file:
filename = regcoilFilenames{whichFile};
fprintf(['Reading ',filename,'\n'])
nfp = double(ncread(filename,'nfp'));
chi2_B = ncread(filename,'chi2_B');
chi2_K = ncread(filename,'chi2_K');
fprintf('chi2_B: %g, chi2_K: %g\n',chi2_B(ilambda),chi2_K(ilambda))
net_poloidal_current_Amperes = ncread(filename,'net_poloidal_current_Amperes');
theta = ncread(filename,'theta_coil');
nzeta = double(ncread(filename,'nzeta_coil'));
nzetal=nzeta*nfp;
zetal = linspace(0,2*pi,nzetal+1);
zetal(end)=[];
[zetal_2D, theta_2D] = meshgrid(zetal,theta);
potential0 = ncread(filename,'current_potential');
potential1 = potential0(:,:,ilambda);
%size(potential0)
%fprintf('Here comes current potential:\n')
%potential0(:,:,ilambda)
potential = kron(ones(1,nfp),potential1) + kron(((1:nfp)-1)*net_poloidal_current_Amperes/nfp,ones(numel(theta),nzeta));
potential = potential / net_poloidal_current_Amperes * nfp;
%fprintf('Here comes final potential:\n')
%potential
%fprintf('Here comes size(potential):\n')
%size(potential)
%return
fprintf('min/max of potential1: %g / %g\n',min(min(potential1)), max(max(potential1)))
fprintf('min/max of potential: %g / %g\n',min(min(potential)), max(max(potential)))
% Read surface from nescin file:
filename = nescinFilenames{whichFile};
fprintf(['Reading ',filename,'\n'])
fid = fopen(filename,'r');
%{
line = fgetl(fid); % Grid spatial dimensions
line = fgetl(fid); % nu,nv,...
line = fgetl(fid); % 256 64 256 64 64 10 F
line = fgetl(fid); % <blank>
line = fgetl(fid); % Fourier Dimensions
line = fgetl(fid); % mf, nf, md, nd
line = fgetl(fid); % 4 4 24 20
data = sscanf(line,'%d %d %d %d');
mf=data(1);
nf=data(2);
line = fgetl(fid); % <blank>
line = fgetl(fid); % Plasma information from VMEC
line = fgetl(fid); % np, iota_edge, phip_edge, curpol
line = fgetl(fid); % <values>
line
data = sscanf(line,'%d %g %g %g');
nfp=data(1);
iota_edge=data(2);
phip_edge = data(3);
curpol = data(4);
fprintf('Read nfp=%d\n',nfp)
line = fgetl(fid); % <blank>
line = fgetl(fid); % Current controls
line = fgetl(fid); % cut, cup, ibex
line = fgetl(fid); % <values>
data = sscanf(line,'%g %g %g');
cut=data(1);
cup=data(2);
%}
%{
nzetal=nzeta*nfp;
theta = linspace(0,2*pi,ntheta+1);
theta(end)=[];
zetal = linspace(0,2*pi,nzetal+1);
zetal(end)=[];
[zetal_2D, theta_2D] = meshgrid(zetal,theta);
%}
%search_string = '----- Coil Surface';
search_string = '------ Current Surface:'
while true
line = fgetl(fid);
if strncmp(line,search_string,numel(search_string))
break
end
end
line = fgetl(fid); %Number of fourier modes in table
line = fgetl(fid);
mnmax_nescin = sscanf(line,'%d');
fprintf(' Reading %d modes from nescin file %s\n',mnmax_nescin,filename)
line = fgetl(fid); %Table of fourier coefficients
line = fgetl(fid); %m,n,crc2,czs2,crs2,czc2
xm_nescin = zeros(mnmax_nescin,1);
xn_nescin = zeros(mnmax_nescin,1);
rmnc_nescin = zeros(mnmax_nescin,1);
zmns_nescin = zeros(mnmax_nescin,1);
for i=1:mnmax_nescin
line = fgetl(fid);
data = sscanf(line,'%d %d %g %g %g %g %g %g');
xm_nescin(i) = data(1);
xn_nescin(i) = data(2);
rmnc_nescin(i) = data(3);
zmns_nescin(i) = data(4);
end
%{
% Build current potential
v = zetal_2D*nfp/(2*pi);
u = theta_2D/(2*pi);
It = cut;
Ip = cup*nfp;
%potential = -Ip*v/nfp - It*u; %The signs are wrong here!!
potential = Ip*v/nfp + It*u;
search_string = '---- Phi(m,n) for least squares ---';
while true
line = fgetl(fid);
if strncmp(line,search_string,numel(search_string))
break
end
end
for m = 0:mf
for n = (-nf):nf
line = fgetl(fid);
data = sscanf(line,'%d %d %g');
potential = potential + data(3)*sin(2*pi*(m*u+n*v));
end
end
%}
fclose(fid);
% Done reading nescin file.
fprintf(['Done reading ',filename,'\n'])
figure(whichFile*10+1)
clf
% W7-X has 50 modular coils
%contours = linspace(0,2*pi,51);
%contours = linspace(-nfp,0,51); %This line works if the sign for the secular part of the current potential is wrong.
contours = linspace(0,nfp,51);
contours(end)= [];
dc = contours(2)-contours(1);
contours = contours + 0.5*dc;
contourf(zetal_2D,theta_2D,potential,contours)
%contourf(zetal_2D,theta_2D,potential,25)
hold on
colorbar
xlabel('zeta')
ylabel('theta')
title('Current potential')
set(gcf,'Position',[12 374 1248 313])
%return
contours_theta = cell(5,1);
contours_zeta = cell(5,1);
contours_x = cell(5,1);
contours_y = cell(5,1);
contours_z = cell(5,1);
contours_dxdtheta = cell(5,1);
contours_dydtheta = cell(5,1);
contours_dzdtheta = cell(5,1);
contours_dxdzeta = cell(5,1);
contours_dydzeta = cell(5,1);
contours_dzdzeta = cell(5,1);
coils_x = cell(5,1);
coils_y = cell(5,1);
coils_z = cell(5,1);
for j=1:5
this_contour = contours(j+10);
C = contourc(zetal,theta,potential,[this_contour,this_contour]);
N = C(2,1);
if N ~= size(C,2)-1
fprintf('It appears there are multiple disconnected contours. This program presently cannot handle this.\n')
N
size(C)
end
this_zeta = C(1,2:end)';
this_theta = C(2,2:end)';
contours_zeta{j} = [this_zeta; this_zeta(1)];
contours_theta{j} = [this_theta; this_theta(1)];
plot(contours_zeta{j},contours_theta{j},'r','LineWidth',2)
contours_x{j} = zeros(size(contours_theta{j}));
contours_y{j} = zeros(size(contours_theta{j}));
contours_z{j} = zeros(size(contours_theta{j}));
contours_dxdtheta{j} = zeros(size(contours_theta{j}));
contours_dydtheta{j} = zeros(size(contours_theta{j}));
contours_dzdtheta{j} = zeros(size(contours_theta{j}));
contours_dxdzeta{j} = zeros(size(contours_theta{j}));
contours_dydzeta{j} = zeros(size(contours_theta{j}));
contours_dzdzeta{j} = zeros(size(contours_theta{j}));
end
x = zeros(size(theta_2D));
y = zeros(size(theta_2D));
z = zeros(size(theta_2D));
dxdtheta = zeros(size(theta_2D));
dydtheta = zeros(size(theta_2D));
dzdtheta = zeros(size(theta_2D));
dxdzeta = zeros(size(theta_2D));
dydzeta = zeros(size(theta_2D));
dzdzeta = zeros(size(theta_2D));
for i = 1:mnmax_nescin
angle = xm_nescin(i)*theta_2D + xn_nescin(i)*zetal_2D*nfp;
%angle2 = zetal_2D + pi; % Rotate everything in the x-y plane
angle2 = zetal_2D;
x = x + rmnc_nescin(i)*cos(angle).*cos(angle2);
y = y + rmnc_nescin(i)*cos(angle).*sin(angle2);
z = z + zmns_nescin(i)*sin(angle);
%{
dxdtheta = dxdtheta - xm_nescin(i)*rmnc_nescin(i)*sin(angle).*cos(angle2);
dydtheta = dydtheta - xm_nescin(i)*rmnc_nescin(i)*sin(angle).*sin(angle2);
dzdtheta = dzdtheta + xm_nescin(i)*zmns_nescin(i)*cos(angle);
dxdzeta = dxdzeta - nfp*xn_nescin(i)*rmnc_nescin(i)*sin(angle).*cos(angle2) ...
- rmnc_nescin(i)*cos(angle).*sin(angle2);
dydzeta = dydzeta - nfp*xn_nescin(i)*rmnc_nescin(i)*sin(angle).*sin(angle2) ...
+ rmnc_nescin(i)*cos(angle).*cos(angle2);
dzdzeta = dzdzeta + nfp*xn_nescin(i)*zmns_nescin(i)*cos(angle);
%}
for j=1:5
angle = xm_nescin(i)*contours_theta{j} + xn_nescin(i)*contours_zeta{j}*nfp;
angle2 = contours_zeta{j};
contours_x{j} = contours_x{j} + rmnc_nescin(i)*cos(angle).*cos(angle2);
contours_y{j} = contours_y{j} + rmnc_nescin(i)*cos(angle).*sin(angle2);
contours_z{j} = contours_z{j} + zmns_nescin(i)*sin(angle);
contours_dxdtheta{j} = contours_dxdtheta{j} - xm_nescin(i)*rmnc_nescin(i)*sin(angle).*cos(angle2);
contours_dydtheta{j} = contours_dydtheta{j} - xm_nescin(i)*rmnc_nescin(i)*sin(angle).*sin(angle2);
contours_dzdtheta{j} = contours_dzdtheta{j} + xm_nescin(i)*zmns_nescin(i)*cos(angle);
contours_dxdzeta{j} = contours_dxdzeta{j} - nfp*xn_nescin(i)*rmnc_nescin(i)*sin(angle).*cos(angle2) ...
- rmnc_nescin(i)*cos(angle).*sin(angle2);
contours_dydzeta{j} = contours_dydzeta{j} - nfp*xn_nescin(i)*rmnc_nescin(i)*sin(angle).*sin(angle2) ...
+ rmnc_nescin(i)*cos(angle).*cos(angle2);
contours_dzdzeta{j} = contours_dzdzeta{j} + nfp*xn_nescin(i)*zmns_nescin(i)*cos(angle);
end
end
for j=1:5
% Compute normal direction:
Nx = contours_dydzeta{j} .* contours_dzdtheta{j} - contours_dzdzeta{j} .* contours_dydtheta{j};
Ny = contours_dzdzeta{j} .* contours_dxdtheta{j} - contours_dxdzeta{j} .* contours_dzdtheta{j};
Nz = contours_dxdzeta{j} .* contours_dydtheta{j} - contours_dydzeta{j} .* contours_dxdtheta{j};
norm_normal = sqrt(Nx.*Nx + Ny.*Ny + Nz.*Nz);
Nx = Nx ./ norm_normal;
Ny = Ny ./ norm_normal;
Nz = Nz ./ norm_normal;
% Compute tangent direction:
indices = (1:numel(contours_x{j}))';
next_index = circshift(indices,[-1,0]);
prev_index = circshift(indices,[1,0]);
Tx = contours_x{j}(next_index) - contours_x{j}(prev_index);
Ty = contours_y{j}(next_index) - contours_y{j}(prev_index);
Tz = contours_z{j}(next_index) - contours_z{j}(prev_index);
norm_tangent = sqrt(Tx.*Tx + Ty.*Ty + Tz.*Tz);
Tx = Tx ./ norm_tangent;
Ty = Ty ./ norm_tangent;
Tz = Tz ./ norm_tangent;
% Compute binormal:
Bx = Ty .* Nz - Tz .* Ny;
By = Tz .* Nx - Tx .* Nz;
Bz = Tx .* Ny - Ty .* Nx;
coils_x{j} = [...
contours_x{j} + coil_thickness*(Nx+Bx), ...
contours_x{j} + coil_thickness*(Nx-Bx), ...
contours_x{j} + coil_thickness*(-Nx-Bx), ...
contours_x{j} + coil_thickness*(-Nx+Bx), ...
contours_x{j} + coil_thickness*(Nx+Bx)];
coils_y{j} = [...
contours_y{j} + coil_thickness*(Ny+By), ...
contours_y{j} + coil_thickness*(Ny-By), ...
contours_y{j} + coil_thickness*(-Ny-By), ...
contours_y{j} + coil_thickness*(-Ny+By), ...
contours_y{j} + coil_thickness*(Ny+By)];
coils_z{j} = [...
contours_z{j} + coil_thickness*(Nz+Bz), ...
contours_z{j} + coil_thickness*(Nz-Bz), ...
contours_z{j} + coil_thickness*(-Nz-Bz), ...
contours_z{j} + coil_thickness*(-Nz+Bz), ...
contours_z{j} + coil_thickness*(Nz+Bz)];
end
figure(whichFile*10+2)
surf(x,y,z)
daspect([1,1,1])
axis vis3d
hold on
for j=1:5
plot3(contours_x{j},contours_y{j},contours_z{j},'r','LineWidth',2)
end
light
lighting gouraud
%zoom(1.6)
%campos([ 574.9370 -457.0244 424.3304])
%camva(1.0271)
axis off
figure(whichFile*10+3)
clf
for j=1:5
plot3(contours_x{j},contours_y{j},contours_z{j},'.-r','LineWidth',2,'MarkerSize',15)
hold on
end
daspect([1,1,1])
axis vis3d
axis off
figure(4)
if whichFile==1
clf
edgeColor='k';
offset=0;
else
edgeColor=':k';
alpha=0.5;
colors = alpha*colors + (1-alpha)*ones(5,3);
offset=0;
end
set(gcf,'Color','w')
ambientStrength = 0.5;
diffuseStrength = 1;
for j=1:5
surf(-coils_x{j}+offset,-coils_y{j},coils_z{j},'EdgeColor','none','FaceColor',colors(j,:),'AmbientStrength',ambientStrength,'DiffuseStrength',diffuseStrength)
hold on
for k=1:4
plot3(-coils_x{j}(:,k)+offset,-coils_y{j}(:,k),coils_z{j}(:,k),edgeColor,'LineWidth',1.3)
end
end
end
daspect([1,1,1])
axis vis3d
axis off
%light
%campos([-1.4267 18.9647 29.7379])
campos([-2.3196 24.0172 -17.4164])
camlight
%lighting gouraud
camva(6)
%annotation(gcf,'textbox',[0.19 0.85 0.5 0.03],'String','(d)','FontSize',18,'FitBoxToText','off','LineStyle','none');
%annotation(gcf,'textbox',[0.1 0.85 0.9 0.03],'String','REGCOIL','FontSize',18,'FitBoxToText','off','LineStyle','none','HorizontalAlignment','center');
%figureFilename = ['/Users/mattland/Box Sync/work16/REGCOIL paper/',mfilename];
%figureFilename = mfilename
%export_fig(figureFilename,'-png','-r200')