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gprMax/gprMax/pml_updates/pml_updates_magnetic_MRIPML_gpu.py

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# Copyright (C) 2015-2019: The University of Edinburgh
# Authors: Craig Warren and Antonis Giannopoulos
#
# This file is part of gprMax.
#
# gprMax is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# gprMax is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with gprMax. If not, see <http://www.gnu.org/licenses/>.
from string import Template
kernels_template_pml_magnetic_MRIPML = Template("""
// Macros for converting subscripts to linear index:
#define INDEX2D_R(m, n) (m)*($NY_R)+(n)
#define INDEX2D_MAT(m, n) (m)*($NY_MATCOEFFS)+(n)
#define INDEX3D_FIELDS(i, j, k) (i)*($NY_FIELDS)*($NZ_FIELDS)+(j)*($NZ_FIELDS)+(k)
#define INDEX4D_ID(p, i, j, k) (p)*($NX_ID)*($NY_ID)*($NZ_ID)+(i)*($NY_ID)*($NZ_ID)+(j)*($NZ_ID)+(k)
#define INDEX4D_PHI1(p, i, j, k) (p)*(NX_PHI1)*(NY_PHI1)*(NZ_PHI1)+(i)*(NY_PHI1)*(NZ_PHI1)+(j)*(NZ_PHI1)+(k)
#define INDEX4D_PHI2(p, i, j, k) (p)*(NX_PHI2)*(NY_PHI2)*(NZ_PHI2)+(i)*(NY_PHI2)*(NZ_PHI2)+(j)*(NZ_PHI2)+(k)
// Material coefficients (read-only) in constant memory (64KB)
__device__ __constant__ $REAL updatecoeffsH[$N_updatecoeffsH];
__global__ void order1_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, const $REAL* __restrict__ Hx, $REAL *Hy, $REAL *Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hy and Hz field components for the xminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, dEy, dEz;
$REAL dx = d;
int ii, jj, kk, materialHy, materialHz;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = xf - (i1 + 1);
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,i1)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,i1)];
RE0 = RE[INDEX2D_R(0,i1)];
RF0 = RF[INDEX2D_R(0,i1)];
RC0 = IRA * RB0 * RF0;
// Hy
materialHy = ID[INDEX4D_ID(4,ii,jj,kk)];
dEz = (Ez[INDEX3D_FIELDS(ii+1,jj,kk)] - Ez[INDEX3D_FIELDS(ii,jj,kk)]) / dx;
Hy[INDEX3D_FIELDS(ii,jj,kk)] = Hy[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHy,4)] * (IRA1 * dEz - IRA * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * dEz - RC0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)];
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = xf - (i2 + 1);
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,i2)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,i2)];
RE0 = RE[INDEX2D_R(0,i2)];
RF0 = RF[INDEX2D_R(0,i2)];
RC0 = IRA * RB0 * RF0;
// Hz
materialHz = ID[INDEX4D_ID(5,ii,jj,kk)];
dEy = (Ey[INDEX3D_FIELDS(ii+1,jj,kk)] - Ey[INDEX3D_FIELDS(ii,jj,kk)]) / dx;
Hz[INDEX3D_FIELDS(ii,jj,kk)] = Hz[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHz,4)] * (IRA1 * dEy - IRA * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * dEy - RC0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)];
}
}
__global__ void order2_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, const $REAL* __restrict__ Hx, $REAL *Hy, $REAL *Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hy and Hz field components for the xminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2, dEy, dEz;
$REAL dx = d;
int ii, jj, kk, materialHy, materialHz;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = xf - (i1 + 1);
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,i1)] + RA[INDEX2D_R(1,i1)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,i1)];
RE0 = RE[INDEX2D_R(0,i1)];
RF0 = RF[INDEX2D_R(0,i1)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,i1)];
RE1 = RE[INDEX2D_R(1,i1)];
RF1 = RF[INDEX2D_R(1,i1)];
RC1 = IRA * RF1;
// Hy
Psi1 = RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)];
materialHy = ID[INDEX4D_ID(4,ii,jj,kk)];
dEz = (Ez[INDEX3D_FIELDS(ii+1,jj,kk)] - Ez[INDEX3D_FIELDS(ii,jj,kk)]) / dx;
Hy[INDEX3D_FIELDS(ii,jj,kk)] = Hy[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHy,4)] * (IRA1 * dEz - IRA * Psi1);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] + RC1 * (dEz - Psi1);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * (dEz - Psi1);
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = xf - (i2 + 1);
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,i2)] + RA[INDEX2D_R(1,i2)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,i2)];
RE0 = RE[INDEX2D_R(0,i2)];
RF0 = RF[INDEX2D_R(0,i2)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,i2)];
RE1 = RE[INDEX2D_R(1,i2)];
RF1 = RF[INDEX2D_R(1,i2)];
RC1 = IRA * RF1;
// Hz
Psi2 = RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)];
materialHz = ID[INDEX4D_ID(5,ii,jj,kk)];
dEy = (Ey[INDEX3D_FIELDS(ii+1,jj,kk)] - Ey[INDEX3D_FIELDS(ii,jj,kk)]) / dx;
Hz[INDEX3D_FIELDS(ii,jj,kk)] = Hz[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHz,4)] * (IRA * dEy - IRA * Psi2);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] + RC1 * (dEy - Psi2);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * (dEy - Psi2);
}
}
__global__ void order1_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, const $REAL* __restrict__ Hx, $REAL *Hy, $REAL *Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hy and Hz field components for the xplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, dEy, dEz;
$REAL dx = d;
int ii, jj, kk, materialHy, materialHz;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,i1)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,i1)];
RE0 = RE[INDEX2D_R(0,i1)];
RF0 = RF[INDEX2D_R(0,i1)];
RC0 = IRA * RB0 * RF0;
// Hy
materialHy = ID[INDEX4D_ID(4,ii,jj,kk)];
dEz = (Ez[INDEX3D_FIELDS(ii+1,jj,kk)] - Ez[INDEX3D_FIELDS(ii,jj,kk)]) / dx;
Hy[INDEX3D_FIELDS(ii,jj,kk)] = Hy[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHy,4)] * (IRA1 * dEz - IRA * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * dEz - RC0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)];
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,i2)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,i2)];
RE0 = RE[INDEX2D_R(0,i2)];
RF0 = RF[INDEX2D_R(0,i2)];
RC0 = IRA * RB0 * RF0;
// Hz
materialHz = ID[INDEX4D_ID(5,ii,jj,kk)];
dEy = (Ey[INDEX3D_FIELDS(ii+1,jj,kk)] - Ey[INDEX3D_FIELDS(ii,jj,kk)]) / dx;
Hz[INDEX3D_FIELDS(ii,jj,kk)] = Hz[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHz,4)] * (IRA1 * dEy - IRA * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * dEy - RC0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)];
}
}
__global__ void order2_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, const $REAL* __restrict__ Hx, $REAL *Hy, $REAL *Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hy and Hz field components for the xplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2, dEy, dEz;
$REAL dx = d;
int ii, jj, kk, materialHy, materialHz;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,i1)] + RA[INDEX2D_R(1,i1)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,i1)];
RE0 = RE[INDEX2D_R(0,i1)];
RF0 = RF[INDEX2D_R(0,i1)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,i1)];
RE1 = RE[INDEX2D_R(1,i1)];
RF1 = RF[INDEX2D_R(1,i1)];
RC1 = IRA * RF1;
// Hy
Psi1 = RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)];
materialHy = ID[INDEX4D_ID(4,ii,jj,kk)];
dEz = (Ez[INDEX3D_FIELDS(ii+1,jj,kk)] - Ez[INDEX3D_FIELDS(ii,jj,kk)]) / dx;
Hy[INDEX3D_FIELDS(ii,jj,kk)] = Hy[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHy,4)] * (IRA1 * dEz - IRA * Psi1);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] + RC1 * (dEz - Psi1);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * (dEz - Psi1);
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,i2)] + RA[INDEX2D_R(1,i2)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,i2)];
RE0 = RE[INDEX2D_R(0,i2)];
RF0 = RF[INDEX2D_R(0,i2)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,i2)];
RE1 = RE[INDEX2D_R(1,i2)];
RF1 = RF[INDEX2D_R(1,i2)];
RC1 = IRA * RF1;
// Hz
Psi2 = RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)];
materialHz = ID[INDEX4D_ID(5,ii,jj,kk)];
dEy = (Ey[INDEX3D_FIELDS(ii+1,jj,kk)] - Ey[INDEX3D_FIELDS(ii,jj,kk)]) / dx;
Hz[INDEX3D_FIELDS(ii,jj,kk)] = Hz[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHz,4)] * (IRA1 * dEy - IRA * Psi2);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] + RC1 * (dEy - Psi2);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * (dEy - Psi2);
}
}
__global__ void order1_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, $REAL *Hx, const $REAL* __restrict__ Hy, $REAL *Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hx and Hz field components for the yminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, dEx, dEz;
$REAL dy = d;
int ii, jj, kk, materialHx, materialHz;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = yf - (j1 + 1);
kk = k1 + zs;
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,j1)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,j1)];
RE0 = RE[INDEX2D_R(0,j1)];
RF0 = RF[INDEX2D_R(0,j1)];
RC0 = IRA * RB0 * RF0;
// Hx
materialHx = ID[INDEX4D_ID(3,ii,jj,kk)];
dEz = (Ez[INDEX3D_FIELDS(ii,jj+1,kk)] - Ez[INDEX3D_FIELDS(ii,jj,kk)]) / dy;
Hx[INDEX3D_FIELDS(ii,jj,kk)] = Hx[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHx,4)] * (IRA1 * dEz - IRA * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * dEz - RC0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)];
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = yf - (j2 + 1);
kk = k2 + zs;
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,j2)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,j2)];
RE0 = RE[INDEX2D_R(0,j2)];
RF0 = RF[INDEX2D_R(0,j2)];
RC0 = IRA * RB0 * RF0;
// Hz
materialHz = ID[INDEX4D_ID(5,ii,jj,kk)];
dEx = (Ex[INDEX3D_FIELDS(ii,jj+1,kk)] - Ex[INDEX3D_FIELDS(ii,jj,kk)]) / dy;
Hz[INDEX3D_FIELDS(ii,jj,kk)] = Hz[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHz,4)] * (IRA1 * dEx - IRA * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * dEx - RC0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)];
}
}
__global__ void order2_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, $REAL *Hx, const $REAL* __restrict__ Hy, $REAL *Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hx and Hz field components for the yminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2, dEx, dEz;
$REAL dy = d;
int ii, jj, kk, materialHx, materialHz;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = yf - (j1 + 1);
kk = k1 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,j1)] + RA[INDEX2D_R(1,j1)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,j1)];
RE0 = RE[INDEX2D_R(0,j1)];
RF0 = RF[INDEX2D_R(0,j1)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,j1)];
RE1 = RE[INDEX2D_R(1,j1)];
RF1 = RF[INDEX2D_R(1,j1)];
RC1 = IRA * RF1;
// Hx
Psi1 = RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)];
materialHx = ID[INDEX4D_ID(3,ii,jj,kk)];
dEz = (Ez[INDEX3D_FIELDS(ii,jj+1,kk)] - Ez[INDEX3D_FIELDS(ii,jj,kk)]) / dy;
Hx[INDEX3D_FIELDS(ii,jj,kk)] = Hx[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHx,4)] * (IRA1 * dEz - IRA * Psi1);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] + RC1 * (dEz - Psi1);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * (dEz - Psi1);
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = yf - (j2 + 1);
kk = k2 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,j2)] + RA[INDEX2D_R(1,j2)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,j2)];
RE0 = RE[INDEX2D_R(0,j2)];
RF0 = RF[INDEX2D_R(0,j2)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,j2)];
RE1 = RE[INDEX2D_R(1,j2)];
RF1 = RF[INDEX2D_R(1,j2)];
RC1 = IRA * RF1;
// Hz
Psi2 = RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)];
materialHz = ID[INDEX4D_ID(5,ii,jj,kk)];
dEx = (Ex[INDEX3D_FIELDS(ii,jj+1,kk)] - Ex[INDEX3D_FIELDS(ii,jj,kk)]) / dy;
Hz[INDEX3D_FIELDS(ii,jj,kk)] = Hz[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHz,4)] * (IRA1 * dEx - IRA * Psi2);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] + RC1 * (dEx - Psi2);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * (dEx - Psi2);
}
}
__global__ void order1_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, $REAL *Hx, const $REAL* __restrict__ Hy, $REAL *Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hx and Hz field components for the yplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, dEx, dEz;
$REAL dy = d;
int ii, jj, kk, materialHx, materialHz;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,j1)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,j1)];
RE0 = RE[INDEX2D_R(0,j1)];
RF0 = RF[INDEX2D_R(0,j1)];
RC0 = IRA * RB0 * RF0;
// Hx
materialHx = ID[INDEX4D_ID(3,ii,jj,kk)];
dEz = (Ez[INDEX3D_FIELDS(ii,jj+1,kk)] - Ez[INDEX3D_FIELDS(ii,jj,kk)]) / dy;
Hx[INDEX3D_FIELDS(ii,jj,kk)] = Hx[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHx,4)] * (IRA1 * dEz - IRA * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * dEz - RC0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)];
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,j2)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,j2)];
RE0 = RE[INDEX2D_R(0,j2)];
RF0 = RF[INDEX2D_R(0,j2)];
RC0 = IRA * RB0 * RF0;
// Hz
materialHz = ID[INDEX4D_ID(5,ii,jj,kk)];
dEx = (Ex[INDEX3D_FIELDS(ii,jj+1,kk)] - Ex[INDEX3D_FIELDS(ii,jj,kk)]) / dy;
Hz[INDEX3D_FIELDS(ii,jj,kk)] = Hz[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHz,4)] * (IRA1 * dEx - IRA * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * dEx - RC0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)];
}
}
__global__ void order2_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, $REAL *Hx, const $REAL* __restrict__ Hy, $REAL *Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hx and Hz field components for the yplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2, dEx, dEz;
$REAL dy = d;
int ii, jj, kk, materialHx, materialHz;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,j1)] + RA[INDEX2D_R(1,j1)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,j1)];
RE0 = RE[INDEX2D_R(0,j1)];
RF0 = RF[INDEX2D_R(0,j1)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,j1)];
RE1 = RE[INDEX2D_R(1,j1)];
RF1 = RF[INDEX2D_R(1,j1)];
RC1 = IRA * RF1;
// Hx
Psi1 = RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)];
materialHx = ID[INDEX4D_ID(3,ii,jj,kk)];
dEz = (Ez[INDEX3D_FIELDS(ii,jj+1,kk)] - Ez[INDEX3D_FIELDS(ii,jj,kk)]) / dy;
Hx[INDEX3D_FIELDS(ii,jj,kk)] = Hx[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHx,4)] * (IRA1 * dEz - IRA * Psi1);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] + RC1 * (dEz - Psi1);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * (dEz - Psi1);
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,j2)] + RA[INDEX2D_R(1,j2)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,j2)];
RE0 = RE[INDEX2D_R(0,j2)];
RF0 = RF[INDEX2D_R(0,j2)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,j2)];
RE1 = RE[INDEX2D_R(1,j2)];
RF1 = RF[INDEX2D_R(1,j2)];
RC1 = IRA * RF1;
// Hz
Psi2 = RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)];
materialHz = ID[INDEX4D_ID(5,ii,jj,kk)];
dEx = (Ex[INDEX3D_FIELDS(ii,jj+1,kk)] - Ex[INDEX3D_FIELDS(ii,jj,kk)]) / dy;
Hz[INDEX3D_FIELDS(ii,jj,kk)] = Hz[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHz,4)] * (IRA1 * dEx - IRA * Psi2);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] + RC1 * (dEx - Psi2);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * (dEx - Psi2);
}
}
__global__ void order1_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, $REAL *Hx, $REAL *Hy, const $REAL* __restrict__ Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hx and Hy field components for the zminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, dEx, dEy;
$REAL dz = d;
int ii, jj, kk, materialHx, materialHy;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = j1 + ys;
kk = zf - (k1 + 1);
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,k1)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,k1)];
RE0 = RE[INDEX2D_R(0,k1)];
RF0 = RF[INDEX2D_R(0,k1)];
RC0 = IRA * RB0 * RF0;
// Hx
materialHx = ID[INDEX4D_ID(3,ii,jj,kk)];
dEy = (Ey[INDEX3D_FIELDS(ii,jj,kk+1)] - Ey[INDEX3D_FIELDS(ii,jj,kk)]) / dz;
Hx[INDEX3D_FIELDS(ii,jj,kk)] = Hx[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHx,4)] * (IRA1 * dEy - IRA * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * dEy - RC0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)];
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = zf - (k2 + 1);
// PML coefficients
IRA = 1 / RA[INDEX2D_R(0,k2)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,k2)];
RE0 = RE[INDEX2D_R(0,k2)];
RF0 = RF[INDEX2D_R(0,k2)];
RC0 = IRA * RB0 * RF0;
// Hy
materialHy = ID[INDEX4D_ID(4,ii,jj,kk)];
dEx = (Ex[INDEX3D_FIELDS(ii,jj,kk+1)] - Ex[INDEX3D_FIELDS(ii,jj,kk)]) / dz;
Hy[INDEX3D_FIELDS(ii,jj,kk)] = Hy[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHy,4)] * (IRA1 * dEx - IRA * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * dEx - RC0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)];
}
}
__global__ void order2_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, $REAL *Hx, $REAL *Hy, const $REAL* __restrict__ Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hx and Hy field components for the zminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2, dEx, dEy;
$REAL dz = d;
int ii, jj, kk, materialHx, materialHy;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = j1 + ys;
kk = zf - (k1 + 1);
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,k1)] + RA[INDEX2D_R(1,k1)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,k1)];
RE0 = RE[INDEX2D_R(0,k1)];
RF0 = RF[INDEX2D_R(0,k1)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,k1)];
RE1 = RE[INDEX2D_R(1,k1)];
RF1 = RF[INDEX2D_R(1,k1)];
RC1 = IRA * RF1;
// Hx
Psi1 = RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)];
materialHx = ID[INDEX4D_ID(3,ii,jj,kk)];
dEy = (Ey[INDEX3D_FIELDS(ii,jj,kk+1)] - Ey[INDEX3D_FIELDS(ii,jj,kk)]) / dz;
Hx[INDEX3D_FIELDS(ii,jj,kk)] = Hx[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHx,4)] * (IRA1 * dEy - IRA * Psi1);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] + RC1 * (dEy - Psi1);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * (dEy - Psi1);
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = zf - (k2 + 1);
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,k2)] + RA[INDEX2D_R(1,k2)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,k2)];
RE0 = RE[INDEX2D_R(0,k2)];
RF0 = RF[INDEX2D_R(0,k2)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,k2)];
RE1 = RE[INDEX2D_R(1,k2)];
RF1 = RF[INDEX2D_R(1,k2)];
RC1 = IRA * RF1;
// Hy
Psi2 = RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)];
materialHy = ID[INDEX4D_ID(4,ii,jj,kk)];
dEx = (Ex[INDEX3D_FIELDS(ii,jj,kk+1)] - Ex[INDEX3D_FIELDS(ii,jj,kk)]) / dz;
Hy[INDEX3D_FIELDS(ii,jj,kk)] = Hy[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHy,4)] * (IRA1 * dEx - IRA * Psi2);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] + RC1 * (dEx - Psi2);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * (dEx - Psi2);
}
}
__global__ void order1_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, $REAL *Hx, $REAL *Hy, const $REAL* __restrict__ Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hx and Hy field components for the zplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, dEx, dEy;
$REAL dz = d;
int ii, jj, kk, materialHx, materialHy;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
IRA = RA[INDEX2D_R(0,k1)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,k1)];
RE0 = RE[INDEX2D_R(0,k1)];
RF0 = RF[INDEX2D_R(0,k1)];
RC0 = IRA * RB0 * RF0;
// Hx
materialHx = ID[INDEX4D_ID(3,ii,jj,kk)];
dEy = (Ey[INDEX3D_FIELDS(ii,jj,kk+1)] - Ey[INDEX3D_FIELDS(ii,jj,kk)]) / dz;
Hx[INDEX3D_FIELDS(ii,jj,kk)] = Hx[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHx,4)] * (IRA1 * dEy - IRA * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * dEy - RC0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)];
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
IRA = RA[INDEX2D_R(0,k2)];
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,k2)];
RE0 = RE[INDEX2D_R(0,k2)];
RF0 = RF[INDEX2D_R(0,k2)];
RC0 = IRA * RB0 * RF0;
// Hy
materialHy = ID[INDEX4D_ID(4,ii,jj,kk)];
dEx = (Ex[INDEX3D_FIELDS(ii,jj,kk+1)] - Ex[INDEX3D_FIELDS(ii,jj,kk)]) / dz;
Hy[INDEX3D_FIELDS(ii,jj,kk)] = Hy[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHy,4)] * (IRA1 * dEx - IRA * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * dEx - RC0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)];
}
}
__global__ void order2_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int NX_PHI1, int NY_PHI1, int NZ_PHI1, int NX_PHI2, int NY_PHI2, int NZ_PHI2, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, const $REAL* __restrict__ Ey, const $REAL* __restrict__ Ez, $REAL *Hx, $REAL *Hy, const $REAL* __restrict__ Hz, $REAL *PHI1, $REAL *PHI2, const $REAL* __restrict__ RA, const $REAL* __restrict__ RB, const $REAL* __restrict__ RE, const $REAL* __restrict__ RF, $REAL d) {
// This function updates the Hx and Hy field components for the zplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_HPHI, NY_HPHI, NZ_HPHI: Dimensions of PHI1 and PHI2 PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML magnetic coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current tREad
int idx = blockIdx.x * blockDim.x + tREadIdx.x;
// Convert the linear index to subscripts for PML PHI1 (4D) arrays
int p1 = idx / (NX_PHI1 * NY_PHI1 * NZ_PHI1);
int i1 = (idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) / (NY_PHI1 * NZ_PHI1);
int j1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) / NZ_PHI1;
int k1 = ((idx % (NX_PHI1 * NY_PHI1 * NZ_PHI1)) % (NY_PHI1 * NZ_PHI1)) % NZ_PHI1;
// Convert the linear index to subscripts for PML PHI2 (4D) arrays
int p2 = idx / (NX_PHI2 * NY_PHI2 * NZ_PHI2);
int i2 = (idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) / (NY_PHI2 * NZ_PHI2);
int j2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) / NZ_PHI2;
int k2 = ((idx % (NX_PHI2 * NY_PHI2 * NZ_PHI2)) % (NY_PHI2 * NZ_PHI2)) % NZ_PHI2;
$REAL IRA, IRA1, RB0, RC0, RE0, RF0, RB1, RC1, RE1, RF1, Psi1, Psi2, dEx, dEy;
$REAL dz = d;
int ii, jj, kk, materialHx, materialHy;
int nx = xf - xs;
int ny = yf - ys;
int nz = zf - zs;
if (p1 == 0 && i1 < nx && j1 < ny && k1 < nz) {
// Subscripts for field arrays
ii = i1 + xs;
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,k1)] + RA[INDEX2D_R(0,k1)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,k1)];
RE0 = RE[INDEX2D_R(0,k1)];
RF0 = RF[INDEX2D_R(0,k1)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,k1)];
RE1 = RE[INDEX2D_R(1,k1)];
RF1 = RF[INDEX2D_R(1,k1)];
RC1 = IRA * RF1;
// Hx
Psi1 = RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)];
materialHx = ID[INDEX4D_ID(3,ii,jj,kk)];
dEy = (Ey[INDEX3D_FIELDS(ii,jj,kk+1)] - Ey[INDEX3D_FIELDS(ii,jj,kk)]) / dz;
Hx[INDEX3D_FIELDS(ii,jj,kk)] = Hx[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsH[INDEX2D_MAT(materialHx,4)] * (IRA1 * dEy - IRA * Psi1);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] + RC1 * (dEy - Psi1);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RC0 * (dEy - Psi1);
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
IRA = 1 / (RA[INDEX2D_R(0,k2)] + RA[INDEX2D_R(0,k2)]);
IRA1 = IRA - 1;
RB0 = RB[INDEX2D_R(0,k2)];
RE0 = RE[INDEX2D_R(0,k2)];
RF0 = RF[INDEX2D_R(0,k2)];
RC0 = IRA * RF0;
RB1 = RB[INDEX2D_R(1,k2)];
RE1 = RE[INDEX2D_R(1,k2)];
RF1 = RF[INDEX2D_R(1,k2)];
RC1 = IRA * RF1;
// Hy
Psi2 = RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)];
materialHy = ID[INDEX4D_ID(4,ii,jj,kk)];
dEx = (Ex[INDEX3D_FIELDS(ii,jj,kk+1)] - Ex[INDEX3D_FIELDS(ii,jj,kk)]) / dz;
Hy[INDEX3D_FIELDS(ii,jj,kk)] = Hy[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsH[INDEX2D_MAT(materialHy,4)] * (IRA1 * dEx - IRA * Psi2);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] + RC1 * (dEx - Psi2);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RC0 * (dEx - Psi2);
}
}
""")
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