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/*
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* H update equations
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*
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* Template parameters:
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* mu False if (mu == 1) everywhere
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* pmc False if no PMC anywhere
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* common_cl Rendered code from common.cl
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*
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* Arguments:
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* ctype *E E-field
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* ctype *H H-field
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* ctype *inv_mu 1/mu (at H-field locations)
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* char *pmc Boolean mask denoting presence of PMC (at H-field locations)
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* ctype *inv_dex 1/dx_e (complex cell widths for x direction at E locations)
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* ctype *inv_dey 1/dy_e (complex cell widths for y direction at E locations)
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* ctype *inv_dez 1/dz_e (complex cell widths for z direction at E locations)
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*
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*/
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{{common_cl}}
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__global ctype *inv_mu_x = inv_mu + XX;
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__global ctype *inv_mu_y = inv_mu + YY;
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__global ctype *inv_mu_z = inv_mu + ZZ;
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__global ctype *pmc_x = pmc + XX;
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__global ctype *pmc_y = pmc + YY;
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__global ctype *pmc_z = pmc + ZZ;
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/*
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* Implement periodic boundary conditions
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*
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* ipx gives the index of the adjacent cell in the plus-x direction ([i]ndex [p]lus [x]).
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* In the event that we start at x == (sx - 1), we actually want to wrap around and grab the cell
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* where x == 0 instead, ie. ipx = i - (sx - 1) * dix .
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*/
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int ipx, ipy, ipz;
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if ( x == sx - 1 ) {
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ipx = i - (sx - 1) * dix;
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} else {
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ipx = i + dix;
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}
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if ( y == sy - 1 ) {
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ipy = i - (sy - 1) * diy;
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} else {
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ipy = i + diy;
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}
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if ( z == sz - 1 ) {
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ipz = i - (sz - 1) * diz;
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} else {
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ipz = i + diz;
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}
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//Update H components; set them to 0 if PMC is enabled at that location.
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//Mu division and PMC conditional are only included if {{mu}} and {{pmc}} are true
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{% if pmc -%}
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if (pmc_x[i] != 0) {
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Hx[i] = zero;
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} else
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{%- endif -%}
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{
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ctype Dzy = mul(sub(Ez[ipy], Ez[i]), inv_dey[y]);
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ctype Dyz = mul(sub(Ey[ipz], Ey[i]), inv_dez[z]);
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ctype x_curl = sub(Dzy, Dyz);
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{%- if mu -%}
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Hx[i] = mul(inv_mu_x[i], x_curl);
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{%- else -%}
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Hx[i] = x_curl;
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{%- endif %}
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}
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{% if pmc -%}
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if (pmc_y[i] != 0) {
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Hy[i] = zero;
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} else
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{%- endif -%}
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{
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ctype Dxz = mul(sub(Ex[ipz], Ex[i]), inv_dez[z]);
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ctype Dzx = mul(sub(Ez[ipx], Ez[i]), inv_dex[x]);
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ctype y_curl = sub(Dxz, Dzx);
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{%- if mu -%}
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Hy[i] = mul(inv_mu_y[i], y_curl);
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{%- else -%}
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Hy[i] = y_curl;
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{%- endif %}
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}
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{% if pmc -%}
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if (pmc_z[i] != 0) {
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Hz[i] = zero;
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} else
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{%- endif -%}
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{
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ctype Dyx = mul(sub(Ey[ipx], Ey[i]), inv_dex[x]);
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ctype Dxy = mul(sub(Ex[ipy], Ex[i]), inv_dey[y]);
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ctype z_curl = sub(Dyx, Dxy);
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{%- if mu -%}
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Hz[i] = mul(inv_mu_z[i], z_curl);
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{%- else -%}
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Hz[i] = z_curl;
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{%- endif %}
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}
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/*
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* End H update equations
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*/
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