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538d3e755c910741eb45b56de3fa80ab2f46f999
gprMax/gprMax/cuda/pml_updates_electric_HORIPML.py
Craig Warren 538d3e755c Update authors and tidy imports.
2021-03-10 15:40:36 +00:00

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Python
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# Copyright (C) 2015-2021: The University of Edinburgh
# Authors: Craig Warren, Antonis Giannopoulos, and John Hartley
#
# This file is part of gprMax.
#
# gprMax is free software: you can redistribute it and/or modify
# it under the terms of the GNU GenRAl 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 GenRAl Public License for more details.
#
# You should have received a copy of the GNU GenRAl Public License
# along with gprMax. If not, see <http://www.gnu.org/licenses/>.
from string import Template
kernels_template_pml_electric_HORIPML = 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__ $REAL updatecoeffsE[$N_updatecoeffsE];
__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, int NY_R, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, $REAL *Ey, $REAL *Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ey and Ez field components for the xminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA01, RB0, RE0, RF0, dHy, dHz;
$REAL dx = d;
int ii, jj, kk, materialEy, materialEz;
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;
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
RA01 = RA[INDEX2D_R(0,i1)] - 1;
RB0 = RB[INDEX2D_R(0,i1)];
RE0 = RE[INDEX2D_R(0,i1)];
RF0 = RF[INDEX2D_R(0,i1)];
// Ey
materialEy = ID[INDEX4D_ID(1,ii,jj,kk)];
dHz = (Hz[INDEX3D_FIELDS(ii,jj,kk)] - Hz[INDEX3D_FIELDS(ii-1,jj,kk)]) / dx;
Ey[INDEX3D_FIELDS(ii,jj,kk)] = Ey[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEy,4)] * (RA01 * dHz + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHz;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = xf - i2;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
RA01 = RA[INDEX2D_R(0,i2)] - 1;
RB0 = RB[INDEX2D_R(0,i2)];
RE0 = RE[INDEX2D_R(0,i2)];
RF0 = RF[INDEX2D_R(0,i2)];
// Ez
materialEz = ID[INDEX4D_ID(2,ii,jj,kk)];
dHy = (Hy[INDEX3D_FIELDS(ii,jj,kk)] - Hy[INDEX3D_FIELDS(ii-1,jj,kk)]) / dx;
Ez[INDEX3D_FIELDS(ii,jj,kk)] = Ez[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEz,4)] * (RA01 * dHy + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHy;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, $REAL *Ey, $REAL *Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ey and Ez field components for the xminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01, dHy, dHz;
$REAL dx = d;
int ii, jj, kk, materialEy, materialEz;
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;
jj = j1 + ys;
kk = k1 + zs;
// PML coefficients
RA0 = RA[INDEX2D_R(0,i1)];
RB0 = RB[INDEX2D_R(0,i1)];
RE0 = RE[INDEX2D_R(0,i1)];
RF0 = RF[INDEX2D_R(0,i1)];
RA1 = RA[INDEX2D_R(1,i1)];
RB1 = RB[INDEX2D_R(1,i1)];
RE1 = RE[INDEX2D_R(1,i1)];
RF1 = RF[INDEX2D_R(1,i1)];
RA01 = RA[INDEX2D_R(0,i1)] * RA[INDEX2D_R(1,i1)] - 1;
// Ey
materialEy = ID[INDEX4D_ID(1,ii,jj,kk)];
dHz = (Hz[INDEX3D_FIELDS(ii,jj,kk)] - Hz[INDEX3D_FIELDS(ii-1,jj,kk)]) / dx;
Ey[INDEX3D_FIELDS(ii,jj,kk)] = Ey[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEy,4)] * (RA01 * dHz + RA1 * RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] - RF1 * (RA0 * dHz + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHz;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = xf - i2;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
RA0 = RA[INDEX2D_R(0,i2)];
RB0 = RB[INDEX2D_R(0,i2)];
RE0 = RE[INDEX2D_R(0,i2)];
RF0 = RF[INDEX2D_R(0,i2)];
RA1 = RA[INDEX2D_R(1,i2)];
RB1 = RB[INDEX2D_R(1,i2)];
RE1 = RE[INDEX2D_R(1,i2)];
RF1 = RF[INDEX2D_R(1,i2)];
RA01 = RA[INDEX2D_R(0,i2)] * RA[INDEX2D_R(1,i2)] - 1;
// Ez
materialEz = ID[INDEX4D_ID(2,ii,jj,kk)];
dHy = (Hy[INDEX3D_FIELDS(ii,jj,kk)] - Hy[INDEX3D_FIELDS(ii-1,jj,kk)]) / dx;
Ez[INDEX3D_FIELDS(ii,jj,kk)] = Ez[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEz,4)] * (RA01 * dHy + RA1 * RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] - RF1 * (RA0 * dHy + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHy;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, $REAL *Ey, $REAL *Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ey and Ez field components for the xplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA01, RB0, RE0, RF0, dHy, dHz;
$REAL dx = d;
int ii, jj, kk, materialEy, materialEz;
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
RA01 = RA[INDEX2D_R(0,i1)] - 1;
RB0 = RB[INDEX2D_R(0,i1)];
RE0 = RE[INDEX2D_R(0,i1)];
RF0 = RF[INDEX2D_R(0,i1)];
// Ey
materialEy = ID[INDEX4D_ID(1,ii,jj,kk)];
dHz = (Hz[INDEX3D_FIELDS(ii,jj,kk)] - Hz[INDEX3D_FIELDS(ii-1,jj,kk)]) / dx;
Ey[INDEX3D_FIELDS(ii,jj,kk)] = Ey[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEy,4)] * (RA01 * dHz + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHz;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
RA01 = RA[INDEX2D_R(0,i2)] - 1;
RB0 = RB[INDEX2D_R(0,i2)];
RE0 = RE[INDEX2D_R(0,i2)];
RF0 = RF[INDEX2D_R(0,i2)];
// Ez
materialEz = ID[INDEX4D_ID(2,ii,jj,kk)];
dHy = (Hy[INDEX3D_FIELDS(ii,jj,kk)] - Hy[INDEX3D_FIELDS(ii-1,jj,kk)]) / dx;
Ez[INDEX3D_FIELDS(ii,jj,kk)] = Ez[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEz,4)] * (RA01 * dHy + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHy;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, const $REAL* __restrict__ Ex, $REAL *Ey, $REAL *Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ey and Ez field components for the xplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01, dHy, dHz;
$REAL dx = d;
int ii, jj, kk, materialEy, materialEz;
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
RA0 = RA[INDEX2D_R(0,i1)];
RB0 = RB[INDEX2D_R(0,i1)];
RE0 = RE[INDEX2D_R(0,i1)];
RF0 = RF[INDEX2D_R(0,i1)];
RA1 = RA[INDEX2D_R(1,i1)];
RB1 = RB[INDEX2D_R(1,i1)];
RE1 = RE[INDEX2D_R(1,i1)];
RF1 = RF[INDEX2D_R(1,i1)];
RA01 = RA[INDEX2D_R(0,i1)] * RA[INDEX2D_R(1,i1)] - 1;
// Ey
materialEy = ID[INDEX4D_ID(1,ii,jj,kk)];
dHz = (Hz[INDEX3D_FIELDS(ii,jj,kk)] - Hz[INDEX3D_FIELDS(ii-1,jj,kk)]) / dx;
Ey[INDEX3D_FIELDS(ii,jj,kk)] = Ey[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEy,4)] * (RA01 * dHz + RA1 * RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] - RF1 * (RA0 * dHz + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHz;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
RA0 = RA[INDEX2D_R(0,i2)];
RB0 = RB[INDEX2D_R(0,i2)];
RE0 = RE[INDEX2D_R(0,i2)];
RF0 = RF[INDEX2D_R(0,i2)];
RA1 = RA[INDEX2D_R(1,i2)];
RB1 = RB[INDEX2D_R(1,i2)];
RE1 = RE[INDEX2D_R(1,i2)];
RF1 = RF[INDEX2D_R(1,i2)];
RA01 = RA[INDEX2D_R(0,i2)] * RA[INDEX2D_R(1,i2)] - 1;
// Ez
materialEz = ID[INDEX4D_ID(2,ii,jj,kk)];
dHy = (Hy[INDEX3D_FIELDS(ii,jj,kk)] - Hy[INDEX3D_FIELDS(ii-1,jj,kk)]) / dx;
Ez[INDEX3D_FIELDS(ii,jj,kk)] = Ez[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEz,4)] * (RA01 * dHy + RA1 * RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] - RF1 * (RA0 * dHy + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHy;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, $REAL *Ex, const $REAL* __restrict__ Ey, $REAL *Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ex and Ez field components for the yminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA01, RB0, RE0, RF0, dHx, dHz;
$REAL dy = d;
int ii, jj, kk, materialEx, materialEz;
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;
kk = k1 + zs;
// PML coefficients
RA01 = RA[INDEX2D_R(0,j1)] - 1;
RB0 = RB[INDEX2D_R(0,j1)];
RE0 = RE[INDEX2D_R(0,j1)];
RF0 = RF[INDEX2D_R(0,j1)];
// Ex
materialEx = ID[INDEX4D_ID(0,ii,jj,kk)];
dHz = (Hz[INDEX3D_FIELDS(ii,jj,kk)] - Hz[INDEX3D_FIELDS(ii,jj-1,kk)]) / dy;
Ex[INDEX3D_FIELDS(ii,jj,kk)] = Ex[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEx,4)] * (RA01 * dHz + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHz;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = yf - j2;
kk = k2 + zs;
// PML coefficients
RA01 = RA[INDEX2D_R(0,j2)] - 1;
RB0 = RB[INDEX2D_R(0,j2)];
RE0 = RE[INDEX2D_R(0,j2)];
RF0 = RF[INDEX2D_R(0,j2)];
// Ez
materialEz = ID[INDEX4D_ID(2,ii,jj,kk)];
dHx = (Hx[INDEX3D_FIELDS(ii,jj,kk)] - Hx[INDEX3D_FIELDS(ii,jj-1,kk)]) / dy;
Ez[INDEX3D_FIELDS(ii,jj,kk)] = Ez[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEz,4)] * (RA01 * dHx + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHx;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, $REAL *Ex, const $REAL* __restrict__ Ey, $REAL *Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ex and Ez field components for the yminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01, dHx, dHz;
$REAL dy = d;
int ii, jj, kk, materialEx, materialEz;
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;
kk = k1 + zs;
// PML coefficients
RA0 = RA[INDEX2D_R(0,j1)];
RB0 = RB[INDEX2D_R(0,j1)];
RE0 = RE[INDEX2D_R(0,j1)];
RF0 = RF[INDEX2D_R(0,j1)];
RA1 = RA[INDEX2D_R(1,j1)];
RB1 = RB[INDEX2D_R(1,j1)];
RE1 = RE[INDEX2D_R(1,j1)];
RF1 = RF[INDEX2D_R(1,j1)];
RA01 = RA[INDEX2D_R(0,j1)] * RA[INDEX2D_R(1,j1)] - 1;
// Ex
materialEx = ID[INDEX4D_ID(0,ii,jj,kk)];
dHz = (Hz[INDEX3D_FIELDS(ii,jj,kk)] - Hz[INDEX3D_FIELDS(ii,jj-1,kk)]) / dy;
Ex[INDEX3D_FIELDS(ii,jj,kk)] = Ex[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEx,4)] * (RA01 * dHz + RA1 * RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] - RF1 * (RA0 * dHz + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHz;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = yf - j2;
kk = k2 + zs;
// PML coefficients
RA0 = RA[INDEX2D_R(0,j2)];
RB0 = RB[INDEX2D_R(0,j2)];
RE0 = RE[INDEX2D_R(0,j2)];
RF0 = RF[INDEX2D_R(0,j2)];
RA1 = RA[INDEX2D_R(1,j2)];
RB1 = RB[INDEX2D_R(1,j2)];
RE1 = RE[INDEX2D_R(1,j2)];
RF1 = RF[INDEX2D_R(1,j2)];
RA01 = RA[INDEX2D_R(0,j2)] * RA[INDEX2D_R(1,j2)] - 1;
// Ez
materialEz = ID[INDEX4D_ID(2,ii,jj,kk)];
dHx = (Hx[INDEX3D_FIELDS(ii,jj,kk)] - Hx[INDEX3D_FIELDS(ii,jj-1,kk)]) / dy;
Ez[INDEX3D_FIELDS(ii,jj,kk)] = Ez[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEz,4)] * (RA01 * dHx + RA1 * RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] - RF1 * (RA0 * dHx + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHx;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, $REAL *Ex, const $REAL* __restrict__ Ey, $REAL *Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ex and Ez field components for the yplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA01, RB0, RE0, RF0, dHx, dHz;
$REAL dy = d;
int ii, jj, kk, materialEx, materialEz;
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
RA01 = RA[INDEX2D_R(0,j1)] - 1;
RB0 = RB[INDEX2D_R(0,j1)];
RE0 = RE[INDEX2D_R(0,j1)];
RF0 = RF[INDEX2D_R(0,j1)];
// Ex
materialEx = ID[INDEX4D_ID(0,ii,jj,kk)];
dHz = (Hz[INDEX3D_FIELDS(ii,jj,kk)] - Hz[INDEX3D_FIELDS(ii,jj-1,kk)]) / dy;
Ex[INDEX3D_FIELDS(ii,jj,kk)] = Ex[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEx,4)] * (RA01 * dHz + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHz;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
RA01 = RA[INDEX2D_R(0,j2)] - 1;
RB0 = RB[INDEX2D_R(0,j2)];
RE0 = RE[INDEX2D_R(0,j2)];
RF0 = RF[INDEX2D_R(0,j2)];
// Ez
materialEz = ID[INDEX4D_ID(2,ii,jj,kk)];
dHx = (Hx[INDEX3D_FIELDS(ii,jj,kk)] - Hx[INDEX3D_FIELDS(ii,jj-1,kk)]) / dy;
Ez[INDEX3D_FIELDS(ii,jj,kk)] = Ez[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEz,4)] * (RA01 * dHx + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHx;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, $REAL *Ex, const $REAL* __restrict__ Ey, $REAL *Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ex and Ez field components for the yplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01, dHx, dHz;
$REAL dy = d;
int ii, jj, kk, materialEx, materialEz;
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
RA0 = RA[INDEX2D_R(0,j1)];
RB0 = RB[INDEX2D_R(0,j1)];
RE0 = RE[INDEX2D_R(0,j1)];
RF0 = RF[INDEX2D_R(0,j1)];
RA1 = RA[INDEX2D_R(1,j1)];
RB1 = RB[INDEX2D_R(1,j1)];
RE1 = RE[INDEX2D_R(1,j1)];
RF1 = RF[INDEX2D_R(1,j1)];
RA01 = RA[INDEX2D_R(0,j1)] * RA[INDEX2D_R(1,j1)] - 1;
// Ex
materialEx = ID[INDEX4D_ID(0,ii,jj,kk)];
dHz = (Hz[INDEX3D_FIELDS(ii,jj,kk)] - Hz[INDEX3D_FIELDS(ii,jj-1,kk)]) / dy;
Ex[INDEX3D_FIELDS(ii,jj,kk)] = Ex[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEx,4)] * (RA01 * dHz + RA1 * RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] - RF1 * (RA0 * dHz + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHz;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
RA0 = RA[INDEX2D_R(0,j2)];
RB0 = RB[INDEX2D_R(0,j2)];
RE0 = RE[INDEX2D_R(0,j2)];
RF0 = RF[INDEX2D_R(0,j2)];
RA1 = RA[INDEX2D_R(1,j2)];
RB1 = RB[INDEX2D_R(1,j2)];
RE1 = RE[INDEX2D_R(1,j2)];
RF1 = RF[INDEX2D_R(1,j2)];
RA01 = RA[INDEX2D_R(0,j2)] * RA[INDEX2D_R(1,j2)] - 1;
// Ez
materialEz = ID[INDEX4D_ID(2,ii,jj,kk)];
dHx = (Hx[INDEX3D_FIELDS(ii,jj,kk)] - Hx[INDEX3D_FIELDS(ii,jj-1,kk)]) / dy;
Ez[INDEX3D_FIELDS(ii,jj,kk)] = Ez[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEz,4)] * (RA01 * dHx + RA1 * RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] - RF1 * (RA0 * dHx + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHx;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, $REAL *Ex, $REAL *Ey, const $REAL* __restrict__ Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ex and Ey field components for the zminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA01, RB0, RE0, RF0, dHx, dHy;
$REAL dz = d;
int ii, jj, kk, materialEx, materialEy;
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;
// PML coefficients
RA01 = RA[INDEX2D_R(0,k1)] - 1;
RB0 = RB[INDEX2D_R(0,k1)];
RE0 = RE[INDEX2D_R(0,k1)];
RF0 = RF[INDEX2D_R(0,k1)];
// Ex
materialEx = ID[INDEX4D_ID(0,ii,jj,kk)];
dHy = (Hy[INDEX3D_FIELDS(ii,jj,kk)] - Hy[INDEX3D_FIELDS(ii,jj,kk-1)]) / dz;
Ex[INDEX3D_FIELDS(ii,jj,kk)] = Ex[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEx,4)] * (RA01 * dHy + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHy;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = zf - k2;
// PML coefficients
RA01 = RA[INDEX2D_R(0,k2)] - 1;
RB0 = RB[INDEX2D_R(0,k2)];
RE0 = RE[INDEX2D_R(0,k2)];
RF0 = RF[INDEX2D_R(0,k2)];
// Ey
materialEy = ID[INDEX4D_ID(1,ii,jj,kk)];
dHx = (Hx[INDEX3D_FIELDS(ii,jj,kk)] - Hx[INDEX3D_FIELDS(ii,jj,kk-1)]) / dz;
Ey[INDEX3D_FIELDS(ii,jj,kk)] = Ey[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEy,4)] * (RA01 * dHx + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHx;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, $REAL *Ex, $REAL *Ey, const $REAL* __restrict__ Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ex and Ey field components for the zminus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01, dHx, dHy;
$REAL dz = d;
int ii, jj, kk, materialEx, materialEy;
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;
// PML coefficients
RA0 = RA[INDEX2D_R(0,k1)];
RB0 = RB[INDEX2D_R(0,k1)];
RE0 = RE[INDEX2D_R(0,k1)];
RF0 = RF[INDEX2D_R(0,k1)];
RA1 = RA[INDEX2D_R(1,k1)];
RB1 = RB[INDEX2D_R(1,k1)];
RE1 = RE[INDEX2D_R(1,k1)];
RF1 = RF[INDEX2D_R(1,k1)];
RA01 = RA[INDEX2D_R(0,k1)] * RA[INDEX2D_R(1,k1)] - 1;
// Ex
materialEx = ID[INDEX4D_ID(0,ii,jj,kk)];
dHy = (Hy[INDEX3D_FIELDS(ii,jj,kk)] - Hy[INDEX3D_FIELDS(ii,jj,kk-1)]) / dz;
Ex[INDEX3D_FIELDS(ii,jj,kk)] = Ex[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEx,4)] * (RA01 * dHy + RA1 * RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] - RF1 * (RA0 * dHy + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHy;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = zf - k2;
// PML coefficients
RA0 = RA[INDEX2D_R(0,k2)];
RB0 = RB[INDEX2D_R(0,k2)];
RE0 = RE[INDEX2D_R(0,k2)];
RF0 = RF[INDEX2D_R(0,k2)];
RA1 = RA[INDEX2D_R(1,k2)];
RB1 = RB[INDEX2D_R(1,k2)];
RE1 = RE[INDEX2D_R(1,k2)];
RF1 = RF[INDEX2D_R(1,k2)];
RA01 = RA[INDEX2D_R(0,k2)] * RA[INDEX2D_R(1,k2)] - 1;
// Ey
materialEy = ID[INDEX4D_ID(1,ii,jj,kk)];
dHx = (Hx[INDEX3D_FIELDS(ii,jj,kk)] - Hx[INDEX3D_FIELDS(ii,jj,kk-1)]) / dz;
Ey[INDEX3D_FIELDS(ii,jj,kk)] = Ey[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEy,4)] * (RA01 * dHx + RA1 * RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] - RF1 * (RA0 * dHx + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHx;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, $REAL *Ex, $REAL *Ey, const $REAL* __restrict__ Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ex and Ey field components for the zplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA01, RB0, RE0, RF0, dHx, dHy;
$REAL dz = d;
int ii, jj, kk, materialEx, materialEy;
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
RA01 = RA[INDEX2D_R(0,k1)] - 1;
RB0 = RB[INDEX2D_R(0,k1)];
RE0 = RE[INDEX2D_R(0,k1)];
RF0 = RF[INDEX2D_R(0,k1)];
// Ex
materialEx = ID[INDEX4D_ID(0,ii,jj,kk)];
dHy = (Hy[INDEX3D_FIELDS(ii,jj,kk)] - Hy[INDEX3D_FIELDS(ii,jj,kk-1)]) / dz;
Ex[INDEX3D_FIELDS(ii,jj,kk)] = Ex[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEx,4)] * (RA01 * dHy + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHy;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
RA01 = RA[INDEX2D_R(0,k2)] - 1;
RB0 = RB[INDEX2D_R(0,k2)];
RE0 = RE[INDEX2D_R(0,k2)];
RF0 = RF[INDEX2D_R(0,k2)];
// Ey
materialEy = ID[INDEX4D_ID(1,ii,jj,kk)];
dHx = (Hx[INDEX3D_FIELDS(ii,jj,kk)] - Hx[INDEX3D_FIELDS(ii,jj,kk-1)]) / dz;
Ey[INDEX3D_FIELDS(ii,jj,kk)] = Ey[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEy,4)] * (RA01 * dHx + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHx;
}
}
__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, int NY_R, const unsigned int* __restrict__ ID, $REAL *Ex, $REAL *Ey, const $REAL* __restrict__ Ez, const $REAL* __restrict__ Hx, const $REAL* __restrict__ 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 Ex and Ey field components for the zplus slab.
//
// Args:
// xs, xf, ys, yf, zs, zf: Cell coordinates of PML slab
// NX_PHI, NY_PHI, NZ_PHI, NY_R: Dimensions of PHI1, PHI2, and R PML arrays
// ID, E, H: Access to ID and field component arrays
// Phi, RA, RB, RE, RF: Access to PML electric coefficient arrays
// d: Spatial discretisation, e.g. dx, dy or dz
// Obtain the linear index corresponding to the current thread
int idx = blockIdx.x * blockDim.x + threadIdx.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 RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01, dHx, dHy;
$REAL dz = d;
int ii, jj, kk, materialEx, materialEy;
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
RA0 = RA[INDEX2D_R(0,k1)];
RB0 = RB[INDEX2D_R(0,k1)];
RE0 = RE[INDEX2D_R(0,k1)];
RF0 = RF[INDEX2D_R(0,k1)];
RA1 = RA[INDEX2D_R(1,k1)];
RB1 = RB[INDEX2D_R(1,k1)];
RE1 = RE[INDEX2D_R(1,k1)];
RF1 = RF[INDEX2D_R(1,k1)];
RA01 = RA[INDEX2D_R(0,k1)] * RA[INDEX2D_R(1,k1)] - 1;
// Ex
materialEx = ID[INDEX4D_ID(0,ii,jj,kk)];
dHy = (Hy[INDEX3D_FIELDS(ii,jj,kk)] - Hy[INDEX3D_FIELDS(ii,jj,kk-1)]) / dz;
Ex[INDEX3D_FIELDS(ii,jj,kk)] = Ex[INDEX3D_FIELDS(ii,jj,kk)] - updatecoeffsE[INDEX2D_MAT(materialEx,4)] * (RA01 * dHy + RA1 * RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] + RB1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(1,i1,j1,k1)] = RE1 * PHI1[INDEX4D_PHI1(1,i1,j1,k1)] - RF1 * (RA0 * dHy + RB0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)]);
PHI1[INDEX4D_PHI1(0,i1,j1,k1)] = RE0 * PHI1[INDEX4D_PHI1(0,i1,j1,k1)] - RF0 * dHy;
}
if (p2 == 0 && i2 < nx && j2 < ny && k2 < nz) {
// Subscripts for field arrays
ii = i2 + xs;
jj = j2 + ys;
kk = k2 + zs;
// PML coefficients
RA0 = RA[INDEX2D_R(0,k2)];
RB0 = RB[INDEX2D_R(0,k2)];
RE0 = RE[INDEX2D_R(0,k2)];
RF0 = RF[INDEX2D_R(0,k2)];
RA1 = RA[INDEX2D_R(1,k2)];
RB1 = RB[INDEX2D_R(1,k2)];
RE1 = RE[INDEX2D_R(1,k2)];
RF1 = RF[INDEX2D_R(1,k2)];
RA01 = RA[INDEX2D_R(0,k2)] * RA[INDEX2D_R(1,k2)] - 1;
// Ey
materialEy = ID[INDEX4D_ID(1,ii,jj,kk)];
dHx = (Hx[INDEX3D_FIELDS(ii,jj,kk)] - Hx[INDEX3D_FIELDS(ii,jj,kk-1)]) / dz;
Ey[INDEX3D_FIELDS(ii,jj,kk)] = Ey[INDEX3D_FIELDS(ii,jj,kk)] + updatecoeffsE[INDEX2D_MAT(materialEy,4)] * (RA01 * dHx + RA1 * RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] + RB1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(1,i2,j2,k2)] = RE1 * PHI2[INDEX4D_PHI2(1,i2,j2,k2)] - RF1 * (RA0 * dHx + RB0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)]);
PHI2[INDEX4D_PHI2(0,i2,j2,k2)] = RE0 * PHI2[INDEX4D_PHI2(0,i2,j2,k2)] - RF0 * dHx;
}
}
""")
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