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

828 行
36 KiB
Cython
原始文件 Blame 文件历史

# 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 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/>.
import numpy as np
cimport numpy as np
from cython.parallel import prange
from gprMax.config cimport float_or_double
cpdef void order1_xminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ey and Ez field components for the xminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEy, materialEz
cdef float_or_double dx, dHy, dHz, RA01, RB0, RE0, RF0
dx = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
RA01 = RA[0, i] - 1
RB0 = RB[0, i]
RE0 = RE[0, i]
RF0 = RF[0, i]
ii = xf - i
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
# Ey
materialEy = ID[1, ii, jj, kk]
dHz = (Hz[ii, jj, kk] - Hz[ii - 1, jj, kk]) / dx
Ey[ii, jj, kk] = Ey[ii, jj, kk] - updatecoeffsE[materialEy, 4] * (RA01 * dHz + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHz
# Ez
materialEz = ID[2, ii, jj, kk]
dHy = (Hy[ii, jj, kk] - Hy[ii - 1, jj, kk]) / dx
Ez[ii, jj, kk] = Ez[ii, jj, kk] + updatecoeffsE[materialEz, 4] * (RA01 * dHy + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHy
cpdef void order2_xminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ey and Ez field components for the xminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEy, materialEz
cdef float_or_double dx, dHy, dHz, RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01
dx = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
RA0 = RA[0, i]
RB0 = RB[0, i]
RE0 = RE[0, i]
RF0 = RF[0, i]
RA1 = RA[1, i]
RB1 = RB[1, i]
RE1 = RE[1, i]
RF1 = RF[1, i]
RA01 = RA[0, i] * RA[1, i] - 1
ii = xf - i
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
# Ey
materialEy = ID[1, ii, jj, kk]
dHz = (Hz[ii, jj, kk] - Hz[ii - 1, jj, kk]) / dx
Ey[ii, jj, kk] = Ey[ii, jj, kk] - updatecoeffsE[materialEy, 4] * (RA01 * dHz + RA1 * RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k])
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] - RF1 * (RA0 * dHz + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHz
# Ez
materialEz = ID[2, ii, jj, kk]
dHy = (Hy[ii, jj, kk] - Hy[ii - 1, jj, kk]) / dx
Ez[ii, jj, kk] = Ez[ii, jj, kk] + updatecoeffsE[materialEz, 4] * (RA01 * dHy + RA1 * RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k])
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] - RF1 * (RA0 * dHy + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHy
cpdef void order1_xplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ey and Ez field components for the xplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEy, materialEz
cdef float_or_double dx, dHy, dHz, RA01, RB0, RE0, RF0
dx = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
RA01 = RA[0, i] - 1
RB0 = RB[0, i]
RE0 = RE[0, i]
RF0 = RF[0, i]
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
# Ey
materialEy = ID[1, ii, jj, kk]
dHz = (Hz[ii, jj, kk] - Hz[ii - 1, jj, kk]) / dx
Ey[ii, jj, kk] = Ey[ii, jj, kk] - updatecoeffsE[materialEy, 4] * (RA01 * dHz + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHz
# Ez
materialEz = ID[2, ii, jj, kk]
dHy = (Hy[ii, jj, kk] - Hy[ii - 1, jj, kk]) / dx
Ez[ii, jj, kk] = Ez[ii, jj, kk] + updatecoeffsE[materialEz, 4] * (RA01 * dHy + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHy
cpdef void order2_xplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ey and Ez field components for the xplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEy, materialEz
cdef float_or_double dx, dHy, dHz, RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01
dx = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
RA0 = RA[0, i]
RB0 = RB[0, i]
RE0 = RE[0, i]
RF0 = RF[0, i]
RA1 = RA[1, i]
RB1 = RB[1, i]
RE1 = RE[1, i]
RF1 = RF[1, i]
RA01 = RA[0, i] * RA[1, i] - 1
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
# Ey
materialEy = ID[1, ii, jj, kk]
dHz = (Hz[ii, jj, kk] - Hz[ii - 1, jj, kk]) / dx
Ey[ii, jj, kk] = Ey[ii, jj, kk] - updatecoeffsE[materialEy, 4] * (RA01 * dHz + RA1 * RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k])
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] - RF1 * (RA0 * dHz + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHz
# Ez
materialEz = ID[2, ii, jj, kk]
dHy = (Hy[ii, jj, kk] - Hy[ii - 1, jj, kk]) / dx
Ez[ii, jj, kk] = Ez[ii, jj, kk] + updatecoeffsE[materialEz, 4] * (RA01 * dHy + RA1 * RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k])
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] - RF1 * (RA0 * dHy + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHy
cpdef void order1_yminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ex and Ez field components for the yminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEx, materialEz
cdef float_or_double dy, dHx, dHz, RA01, RB0, RE0, RF0
dy = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = yf - j
RA01 = RA[0, j] - 1
RB0 = RB[0, j]
RE0 = RE[0, j]
RF0 = RF[0, j]
for k in range(0, nz):
kk = k + zs
# Ex
materialEx = ID[0, ii, jj, kk]
dHz = (Hz[ii, jj, kk] - Hz[ii, jj - 1, kk]) / dy
Ex[ii, jj, kk] = Ex[ii, jj, kk] + updatecoeffsE[materialEx, 4] * (RA01 * dHz + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHz
# Ez
materialEz = ID[2, ii, jj, kk]
dHx = (Hx[ii, jj, kk] - Hx[ii, jj - 1, kk]) / dy
Ez[ii, jj, kk] = Ez[ii, jj, kk] - updatecoeffsE[materialEz, 4] * (RA01 * dHx + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHx
cpdef void order2_yminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ex and Ez field components for the yminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEx, materialEz
cdef float_or_double dy, dHx, dHz, RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01
dy = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = yf - j
RA0 = RA[0, j]
RB0 = RB[0, j]
RE0 = RE[0, j]
RF0 = RF[0, j]
RA1 = RA[1, j]
RB1 = RB[1, j]
RE1 = RE[1, j]
RF1 = RF[1, j]
RA01 = RA[0, j] * RA[1, j] - 1
for k in range(0, nz):
kk = k + zs
# Ex
materialEx = ID[0, ii, jj, kk]
dHz = (Hz[ii, jj, kk] - Hz[ii, jj - 1, kk]) / dy
Ex[ii, jj, kk] = Ex[ii, jj, kk] + updatecoeffsE[materialEx, 4] * (RA01 * dHz + RA1 * RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k])
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] - RF1 * (RA0 * dHz + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHz
# Ez
materialEz = ID[2, ii, jj, kk]
dHx = (Hx[ii, jj, kk] - Hx[ii, jj - 1, kk]) / dy
Ez[ii, jj, kk] = Ez[ii, jj, kk] - updatecoeffsE[materialEz, 4] * (RA01 * dHx + RA1 * RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k])
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] - RF1 * (RA0 * dHx + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHx
cpdef void order1_yplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ex and Ez field components for the yplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEx, materialEz
cdef float_or_double dy, dHx, dHz, RA01, RB0, RE0, RF0
dy = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
RA01 = RA[0, j] - 1
RB0 = RB[0, j]
RE0 = RE[0, j]
RF0 = RF[0, j]
for k in range(0, nz):
kk = k + zs
# Ex
materialEx = ID[0, ii, jj, kk]
dHz = (Hz[ii, jj, kk] - Hz[ii, jj - 1, kk]) / dy
Ex[ii, jj, kk] = Ex[ii, jj, kk] + updatecoeffsE[materialEx, 4] * (RA01 * dHz + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHz
# Ez
materialEz = ID[2, ii, jj, kk]
dHx = (Hx[ii, jj, kk] - Hx[ii, jj - 1, kk]) / dy
Ez[ii, jj, kk] = Ez[ii, jj, kk] - updatecoeffsE[materialEz, 4] * (RA01 * dHx + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHx
cpdef void order2_yplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ex and Ez field components for the yplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEx, materialEz
cdef float_or_double dy, dHx, dHz, RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01
dy = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
RA0 = RA[0, j]
RB0 = RB[0, j]
RE0 = RE[0, j]
RF0 = RF[0, j]
RA1 = RA[1, j]
RB1 = RB[1, j]
RE1 = RE[1, j]
RF1 = RF[1, j]
RA01 = RA[0, j] * RA[1, j] - 1
for k in range(0, nz):
kk = k + zs
# Ex
materialEx = ID[0, ii, jj, kk]
dHz = (Hz[ii, jj, kk] - Hz[ii, jj - 1, kk]) / dy
Ex[ii, jj, kk] = Ex[ii, jj, kk] + updatecoeffsE[materialEx, 4] * (RA01 * dHz + RA1 * RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k])
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] - RF1 * (RA0 * dHz + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHz
# Ez
materialEz = ID[2, ii, jj, kk]
dHx = (Hx[ii, jj, kk] - Hx[ii, jj - 1, kk]) / dy
Ez[ii, jj, kk] = Ez[ii, jj, kk] - updatecoeffsE[materialEz, 4] * (RA01 * dHx + RA1 * RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k])
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] - RF1 * (RA0 * dHx + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHx
cpdef void order1_zminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ex and Ey field components for the zminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEx, materialEy
cdef float_or_double dz, dHx, dHy, RA01, RB0, RE0, RF0
dz = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = zf - k
RA01 = RA[0, k] - 1
RB0 = RB[0, k]
RE0 = RE[0, k]
RF0 = RF[0, k]
# Ex
materialEx = ID[0, ii, jj, kk]
dHy = (Hy[ii, jj, kk] - Hy[ii, jj, kk - 1]) / dz
Ex[ii, jj, kk] = Ex[ii, jj, kk] - updatecoeffsE[materialEx, 4] * (RA01 * dHy + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHy
# Ey
materialEy = ID[1, ii, jj, kk]
dHx = (Hx[ii, jj, kk] - Hx[ii, jj, kk - 1]) / dz
Ey[ii, jj, kk] = Ey[ii, jj, kk] + updatecoeffsE[materialEy, 4] * (RA01 * dHx + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHx
cpdef void order2_zminus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ex and Ey field components for the zminus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEx, materialEy
cdef float_or_double dz, dHx, dHy, RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01
dz = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = zf - k
RA0 = RA[0, k]
RB0 = RB[0, k]
RE0 = RE[0, k]
RF0 = RF[0, k]
RA1 = RA[1, k]
RB1 = RB[1, k]
RE1 = RE[1, k]
RF1 = RF[1, k]
RA01 = RA[0, k] * RA[1, k] - 1
# Ex
materialEx = ID[0, ii, jj, kk]
dHy = (Hy[ii, jj, kk] - Hy[ii, jj, kk - 1]) / dz
Ex[ii, jj, kk] = Ex[ii, jj, kk] - updatecoeffsE[materialEx, 4] * (RA01 * dHy + RA1 * RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k])
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] - RF1 * (RA0 * dHy + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHy
# Ey
materialEy = ID[1, ii, jj, kk]
dHx = (Hx[ii, jj, kk] - Hx[ii, jj, kk - 1]) / dz
Ey[ii, jj, kk] = Ey[ii, jj, kk] + updatecoeffsE[materialEy, 4] * (RA01 * dHx + RA1 * RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k])
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] - RF1 * (RA0 * dHx + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHx
cpdef void order1_zplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ex and Ey field components for the zplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEx, materialEy
cdef float_or_double dz, dHx, dHy, RA01, RB0, RE0, RF0
dz = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
RA01 = RA[0, k] - 1
RB0 = RB[0, k]
RE0 = RE[0, k]
RF0 = RF[0, k]
# Ex
materialEx = ID[0, ii, jj, kk]
dHy = (Hy[ii, jj, kk] - Hy[ii, jj, kk - 1]) / dz
Ex[ii, jj, kk] = Ex[ii, jj, kk] - updatecoeffsE[materialEx, 4] * (RA01 * dHy + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHy
# Ey
materialEy = ID[1, ii, jj, kk]
dHx = (Hx[ii, jj, kk] - Hx[ii, jj, kk - 1]) / dz
Ey[ii, jj, kk] = Ey[ii, jj, kk] + updatecoeffsE[materialEy, 4] * (RA01 * dHx + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHx
cpdef void order2_zplus(
int xs,
int xf,
int ys,
int yf,
int zs,
int zf,
int nthreads,
float_or_double[:, ::1] updatecoeffsE,
np.uint32_t[:, :, :, ::1] ID,
float_or_double[:, :, ::1] Ex,
float_or_double[:, :, ::1] Ey,
float_or_double[:, :, ::1] Ez,
float_or_double[:, :, ::1] Hx,
float_or_double[:, :, ::1] Hy,
float_or_double[:, :, ::1] Hz,
float_or_double[:, :, :, ::1] Phi1,
float_or_double[:, :, :, ::1] Phi2,
float_or_double[:, ::1] RA,
float_or_double[:, ::1] RB,
float_or_double[:, ::1] RE,
float_or_double[:, ::1] RF,
float d
):
"""This function updates the Ex and Ey field components for the zplus slab.
Args:
xs, xf, ys, yf, zs, zf (int): Cell coordinates of entire box
nthreads (int): Number of threads to use
updatecoeffs, ID, E, H (memoryviews): Access to update coefficients, ID and field component arrays
EPhi, RA, RB, RE, RF (memoryviews): Access to PML coefficient arrays
d (float): Spatial discretisation, e.g. dx, dy or dz
"""
cdef Py_ssize_t i, j, k, ii, jj, kk
cdef int nx, ny, nz, materialEx, materialEy
cdef float_or_double dz, dHx, dHy, RA0, RB0, RE0, RF0, RA1, RB1, RE1, RF1, RA01
dz = d
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
ii = i + xs
for j in range(0, ny):
jj = j + ys
for k in range(0, nz):
kk = k + zs
RA0 = RA[0, k]
RB0 = RB[0, k]
RE0 = RE[0, k]
RF0 = RF[0, k]
RA1 = RA[1, k]
RB1 = RB[1, k]
RE1 = RE[1, k]
RF1 = RF[1, k]
RA01 = RA[0, k] * RA[1, k] - 1
# Ex
materialEx = ID[0, ii, jj, kk]
dHy = (Hy[ii, jj, kk] - Hy[ii, jj, kk - 1]) / dz
Ex[ii, jj, kk] = Ex[ii, jj, kk] - updatecoeffsE[materialEx, 4] * (RA01 * dHy + RA1 * RB0 * Phi1[0, i, j, k] + RB1 * Phi1[1, i, j, k])
Phi1[1, i, j, k] = RE1 * Phi1[1, i, j, k] - RF1 * (RA0 * dHy + RB0 * Phi1[0, i, j, k])
Phi1[0, i, j, k] = RE0 * Phi1[0, i, j, k] - RF0 * dHy
# Ey
materialEy = ID[1, ii, jj, kk]
dHx = (Hx[ii, jj, kk] - Hx[ii, jj, kk - 1]) / dz
Ey[ii, jj, kk] = Ey[ii, jj, kk] + updatecoeffsE[materialEy, 4] * (RA01 * dHx + RA1 * RB0 * Phi2[0, i, j, k] + RB1 * Phi2[1, i, j, k])
Phi2[1, i, j, k] = RE1 * Phi2[1, i, j, k] - RF1 * (RA0 * dHx + RB0 * Phi2[0, i, j, k])
Phi2[0, i, j, k] = RE0 * Phi2[0, i, j, k] - RF0 * dHx
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