publicImage/gprMax
1
0
派生 0
镜像自地址 https://gitee.com/sunhf/gprMax.git 已同步 2025-08-06 12:36:51 +08:00
代码 工单 软件包 项目 版本发布 百科 动态

Performance improvements to Cython code.

浏览代码
这个提交包含在：
Craig Warren
2016-02-23 17:35:10 +00:00
父节点 927b637d33
当前提交 d064be785a
共有 3 个文件被更改，包括 408 次插入 和 342 次删除
下载 Patch 文件 下载 Diff 文件 展开所有文件 折叠所有文件

222
gprMax/fields_update.pyx
查看文件

@@ -25,7 +25,7 @@ from gprMax.constants cimport floattype_t, complextype_t
#########################################
# Electric field updates - Ex component #
#########################################
cpdef update_ex(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Hz):
cpdef void update_ex(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Hz):
"""This function updates the Ex field components.
Args:
@@ -34,19 +34,20 @@ cpdef update_ex(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updateco
updatecoeffs, ID, E, H (memoryviews): Access to update coeffients, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if ny == 1 or nz == 1:
pass
else:
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(1, nz):
listIndex = ID[0, i, j, k]
Ex[i, j, k] = updatecoeffsE[listIndex, 0] * Ex[i, j, k] + updatecoeffsE[listIndex, 2] * (Hz[i, j, k] - Hz[i, j - 1, k]) - updatecoeffsE[listIndex, 3] * (Hy[i, j, k] - Hy[i, j, k - 1])
material = ID[0, i, j, k]
Ex[i, j, k] = updatecoeffsE[material, 0] * Ex[i, j, k] + updatecoeffsE[material, 2] * (Hz[i, j, k] - Hz[i, j - 1, k]) - updatecoeffsE[material, 3] * (Hy[i, j, k] - Hy[i, j, k - 1])
cpdef update_ex_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int maxpoles, floattype_t[:, :] updatecoeffsE, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Tx, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Hz):
cpdef void update_ex_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int maxpoles, floattype_t[:, ::1] updatecoeffsE, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Tx, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Hz):
"""This function updates the Ex field components when dispersive materials (with multiple poles) are present.
Args:
@@ -56,23 +57,24 @@ cpdef update_ex_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int
updatecoeffs, T, ID, E, H (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex, p
cdef Py_ssize_t i, j, k, p
cdef int material
cdef float phi = 0.0
if ny == 1 or nz == 1:
pass
else:
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(1, nz):
listIndex = ID[0, i, j, k]
material = ID[0, i, j, k]
phi = 0.0
for p in range(0, maxpoles):
phi = phi + updatecoeffsdispersive[listIndex, p * 3].real * Tx[p, i, j, k].real
Tx[p, i, j, k] = updatecoeffsdispersive[listIndex, 1 + (p * 3)] * Tx[p, i, j, k] + updatecoeffsdispersive[listIndex, 2 + (p * 3)] * Ex[i, j, k]
Ex[i, j, k] = updatecoeffsE[listIndex, 0] * Ex[i, j, k] + updatecoeffsE[listIndex, 2] * (Hz[i, j, k] - Hz[i, j - 1, k]) - updatecoeffsE[listIndex, 3] * (Hy[i, j, k] - Hy[i, j, k - 1]) - updatecoeffsE[listIndex, 4] * phi
phi = phi + updatecoeffsdispersive[material, p * 3].real * Tx[p, i, j, k].real
Tx[p, i, j, k] = updatecoeffsdispersive[material, 1 + (p * 3)] * Tx[p, i, j, k] + updatecoeffsdispersive[material, 2 + (p * 3)] * Ex[i, j, k]
Ex[i, j, k] = updatecoeffsE[material, 0] * Ex[i, j, k] + updatecoeffsE[material, 2] * (Hz[i, j, k] - Hz[i, j - 1, k]) - updatecoeffsE[material, 3] * (Hy[i, j, k] - Hy[i, j, k - 1]) - updatecoeffsE[material, 4] * phi
cpdef update_ex_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int maxpoles, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Tx, floattype_t[:, :, :] Ex):
cpdef void update_ex_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int maxpoles, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Tx, floattype_t[:, :, ::1] Ex):
"""This function updates the Ex field components when dispersive materials (with multiple poles) are present.
Args:
@@ -82,20 +84,21 @@ cpdef update_ex_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int
updatecoeffs, T, ID, E (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex, p
cdef Py_ssize_t i, j, k, p
cdef int material
if ny == 1 or nz == 1:
pass
else:
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(1, nz):
listIndex = ID[0, i, j, k]
material = ID[0, i, j, k]
for p in range(0, maxpoles):
Tx[p, i, j, k] = Tx[p, i, j, k] - updatecoeffsdispersive[listIndex, 2 + (p * 3)] * Ex[i, j, k]
Tx[p, i, j, k] = Tx[p, i, j, k] - updatecoeffsdispersive[material, 2 + (p * 3)] * Ex[i, j, k]
cpdef update_ex_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsE, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Tx, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Hz):
cpdef void update_ex_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsE, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Tx, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Hz):
"""This function updates the Ex field components when dispersive materials (with 1 pole) are present.
Args:
@@ -104,22 +107,23 @@ cpdef update_ex_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floatty
updatecoeffs, T, ID, E, H (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
cdef float phi = 0.0
if ny == 1 or nz == 1:
pass
else:
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(1, nz):
listIndex = ID[0, i, j, k]
phi = updatecoeffsdispersive[listIndex, 0].real * Tx[0, i, j, k].real
Tx[0, i, j, k] = updatecoeffsdispersive[listIndex, 1] * Tx[0, i, j, k] + updatecoeffsdispersive[listIndex, 2] * Ex[i, j, k]
Ex[i, j, k] = updatecoeffsE[listIndex, 0] * Ex[i, j, k] + updatecoeffsE[listIndex, 2] * (Hz[i, j, k] - Hz[i, j - 1, k]) - updatecoeffsE[listIndex, 3] * (Hy[i, j, k] - Hy[i, j, k - 1]) - updatecoeffsE[listIndex, 4] * phi
material = ID[0, i, j, k]
phi = updatecoeffsdispersive[material, 0].real * Tx[0, i, j, k].real
Tx[0, i, j, k] = updatecoeffsdispersive[material, 1] * Tx[0, i, j, k] + updatecoeffsdispersive[material, 2] * Ex[i, j, k]
Ex[i, j, k] = updatecoeffsE[material, 0] * Ex[i, j, k] + updatecoeffsE[material, 2] * (Hz[i, j, k] - Hz[i, j - 1, k]) - updatecoeffsE[material, 3] * (Hy[i, j, k] - Hy[i, j, k - 1]) - updatecoeffsE[material, 4] * phi
cpdef update_ex_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Tx, floattype_t[:, :, :] Ex):
cpdef void update_ex_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Tx, floattype_t[:, :, ::1] Ex):
"""This function updates the Ex field components when dispersive materials (with 1 pole) are present.
Args:
@@ -128,22 +132,23 @@ cpdef update_ex_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complex
updatecoeffs, T, ID, E (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if ny == 1 or nz == 1:
pass
else:
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(1, nz):
listIndex = ID[0, i, j, k]
Tx[0, i, j, k] = Tx[0, i, j, k] - updatecoeffsdispersive[listIndex, 2] * Ex[i, j, k]
material = ID[0, i, j, k]
Tx[0, i, j, k] = Tx[0, i, j, k] - updatecoeffsdispersive[material, 2] * Ex[i, j, k]
#########################################
# Electric field updates - Ey component #
#########################################
cpdef update_ey(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Hz):
cpdef void update_ey(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Hz):
"""This function updates the Ey field components.
Args:
@@ -152,19 +157,20 @@ cpdef update_ey(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updateco
updatecoeffs, ID, E, H (memoryviews): Access to update coeffients, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if nx == 1 or nz == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(1, nz):
listIndex = ID[1, i, j, k]
Ey[i, j, k] = updatecoeffsE[listIndex, 0] * Ey[i, j, k] + updatecoeffsE[listIndex, 3] * (Hx[i, j, k] - Hx[i, j, k - 1]) - updatecoeffsE[listIndex, 1] * (Hz[i, j, k] - Hz[i - 1, j, k])
material = ID[1, i, j, k]
Ey[i, j, k] = updatecoeffsE[material, 0] * Ey[i, j, k] + updatecoeffsE[material, 3] * (Hx[i, j, k] - Hx[i, j, k - 1]) - updatecoeffsE[material, 1] * (Hz[i, j, k] - Hz[i - 1, j, k])
cpdef update_ey_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int maxpoles, floattype_t[:, :] updatecoeffsE, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Ty, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Hz):
cpdef void update_ey_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int maxpoles, floattype_t[:, ::1] updatecoeffsE, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Ty, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Hz):
"""This function updates the Ey field components when dispersive materials (with multiple poles) are present.
Args:
@@ -174,24 +180,25 @@ cpdef update_ey_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int
updatecoeffs, T, ID, E, H (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex, p
cdef Py_ssize_t i, j, k, p
cdef int material
cdef float phi = 0.0
if nx == 1 or nz == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(1, nz):
listIndex = ID[1, i, j, k]
material = ID[1, i, j, k]
phi = 0.0
for p in range(0, maxpoles):
phi = phi + updatecoeffsdispersive[listIndex, p * 3].real * Ty[p, i, j, k].real
Ty[p, i, j, k] = updatecoeffsdispersive[listIndex, 1 + (p * 3)] * Ty[p, i, j, k] + updatecoeffsdispersive[listIndex, 2 + (p * 3)] * Ey[i, j, k]
Ey[i, j, k] = updatecoeffsE[listIndex, 0] * Ey[i, j, k] + updatecoeffsE[listIndex, 3] * (Hx[i, j, k] - Hx[i, j, k - 1]) - updatecoeffsE[listIndex, 1] * (Hz[i, j, k] - Hz[i - 1, j, k]) - updatecoeffsE[listIndex, 4] * phi
phi = phi + updatecoeffsdispersive[material, p * 3].real * Ty[p, i, j, k].real
Ty[p, i, j, k] = updatecoeffsdispersive[material, 1 + (p * 3)] * Ty[p, i, j, k] + updatecoeffsdispersive[material, 2 + (p * 3)] * Ey[i, j, k]
Ey[i, j, k] = updatecoeffsE[material, 0] * Ey[i, j, k] + updatecoeffsE[material, 3] * (Hx[i, j, k] - Hx[i, j, k - 1]) - updatecoeffsE[material, 1] * (Hz[i, j, k] - Hz[i - 1, j, k]) - updatecoeffsE[material, 4] * phi
cpdef update_ey_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int maxpoles, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Ty, floattype_t[:, :, :] Ey):
cpdef void update_ey_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int maxpoles, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Ty, floattype_t[:, :, ::1] Ey):
"""This function updates the Ey field components when dispersive materials (with multiple poles) are present.
Args:
@@ -201,20 +208,21 @@ cpdef update_ey_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int
updatecoeffs, T, ID, E, H (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex, p
cdef Py_ssize_t i, j, k, p
cdef int material
if nx == 1 or nz == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(1, nz):
listIndex = ID[1, i, j, k]
material = ID[1, i, j, k]
for p in range(0, maxpoles):
Ty[p, i, j, k] = Ty[p, i, j, k] - updatecoeffsdispersive[listIndex, 2 + (p * 3)] * Ey[i, j, k]
Ty[p, i, j, k] = Ty[p, i, j, k] - updatecoeffsdispersive[material, 2 + (p * 3)] * Ey[i, j, k]
cpdef update_ey_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsE, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Ty, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Hz):
cpdef void update_ey_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsE, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Ty, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Hz):
"""This function updates the Ey field components when dispersive materials (with 1 pole) are present.
Args:
@@ -223,22 +231,23 @@ cpdef update_ey_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floatty
updatecoeffs, T, ID, E, H (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
cdef float phi = 0.0
if nx == 1 or nz == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(1, nz):
listIndex = ID[1, i, j, k]
phi = updatecoeffsdispersive[listIndex, 0].real * Ty[0, i, j, k].real
Ty[0, i, j, k] = updatecoeffsdispersive[listIndex, 1] * Ty[0, i, j, k] + updatecoeffsdispersive[listIndex, 2] * Ey[i, j, k]
Ey[i, j, k] = updatecoeffsE[listIndex, 0] * Ey[i, j, k] + updatecoeffsE[listIndex, 3] * (Hx[i, j, k] - Hx[i, j, k - 1]) - updatecoeffsE[listIndex, 1] * (Hz[i, j, k] - Hz[i - 1, j, k]) - updatecoeffsE[listIndex, 4] * phi
material = ID[1, i, j, k]
phi = updatecoeffsdispersive[material, 0].real * Ty[0, i, j, k].real
Ty[0, i, j, k] = updatecoeffsdispersive[material, 1] * Ty[0, i, j, k] + updatecoeffsdispersive[material, 2] * Ey[i, j, k]
Ey[i, j, k] = updatecoeffsE[material, 0] * Ey[i, j, k] + updatecoeffsE[material, 3] * (Hx[i, j, k] - Hx[i, j, k - 1]) - updatecoeffsE[material, 1] * (Hz[i, j, k] - Hz[i - 1, j, k]) - updatecoeffsE[material, 4] * phi
cpdef update_ey_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Ty, floattype_t[:, :, :] Ey):
cpdef void update_ey_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Ty, floattype_t[:, :, ::1] Ey):
"""This function updates the Ey field components when dispersive materials (with 1 pole) are present.
Args:
@@ -247,22 +256,23 @@ cpdef update_ey_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complex
updatecoeffs, T, ID, E (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if nx == 1 or nz == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(1, nz):
listIndex = ID[1, i, j, k]
Ty[0, i, j, k] = Ty[0, i, j, k] - updatecoeffsdispersive[listIndex, 2] * Ey[i, j, k]
material = ID[1, i, j, k]
Ty[0, i, j, k] = Ty[0, i, j, k] - updatecoeffsdispersive[material, 2] * Ey[i, j, k]
#########################################
# Electric field updates - Ez component #
#########################################
cpdef update_ez(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Hy):
cpdef void update_ez(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Hy):
"""This function updates the Ez field components.
Args:
@@ -271,19 +281,20 @@ cpdef update_ez(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updateco
updatecoeffs, ID, E, H (memoryviews): Access to update coeffients, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if nx == 1 or ny == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(0, nz):
listIndex = ID[2, i, j, k]
Ez[i, j, k] = updatecoeffsE[listIndex, 0] * Ez[i, j, k] + updatecoeffsE[listIndex, 1] * (Hy[i, j, k] - Hy[i - 1, j, k]) - updatecoeffsE[listIndex, 2] * (Hx[i, j, k] - Hx[i, j - 1, k])
material = ID[2, i, j, k]
Ez[i, j, k] = updatecoeffsE[material, 0] * Ez[i, j, k] + updatecoeffsE[material, 1] * (Hy[i, j, k] - Hy[i - 1, j, k]) - updatecoeffsE[material, 2] * (Hx[i, j, k] - Hx[i, j - 1, k])
cpdef update_ez_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int maxpoles, floattype_t[:, :] updatecoeffsE, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Tz, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Hy):
cpdef void update_ez_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int maxpoles, floattype_t[:, ::1] updatecoeffsE, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Tz, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Hy):
"""This function updates the Ez field components when dispersive materials (with multiple poles) are present.
Args:
@@ -293,24 +304,25 @@ cpdef update_ez_dispersive_multipole_A(int nx, int ny, int nz, int nthreads, int
updatecoeffs, T, ID, E, H (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex, p
cdef Py_ssize_t i, j, k, p
cdef int material
cdef float phi = 0.0
if nx == 1 or ny == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(0, nz):
listIndex = ID[2, i, j, k]
material = ID[2, i, j, k]
phi = 0.0
for p in range(0, maxpoles):
phi = phi + updatecoeffsdispersive[listIndex, p * 3].real * Tz[p, i, j, k].real
Tz[p, i, j, k] = updatecoeffsdispersive[listIndex, 1 + (p * 3)] * Tz[p, i, j, k] + updatecoeffsdispersive[listIndex, 2 + (p * 3)] * Ez[i, j, k]
Ez[i, j, k] = updatecoeffsE[listIndex, 0] * Ez[i, j, k] + updatecoeffsE[listIndex, 1] * (Hy[i, j, k] - Hy[i - 1, j, k]) - updatecoeffsE[listIndex, 2] * (Hx[i, j, k] - Hx[i, j - 1, k]) - updatecoeffsE[listIndex, 4] * phi
phi = phi + updatecoeffsdispersive[material, p * 3].real * Tz[p, i, j, k].real
Tz[p, i, j, k] = updatecoeffsdispersive[material, 1 + (p * 3)] * Tz[p, i, j, k] + updatecoeffsdispersive[material, 2 + (p * 3)] * Ez[i, j, k]
Ez[i, j, k] = updatecoeffsE[material, 0] * Ez[i, j, k] + updatecoeffsE[material, 1] * (Hy[i, j, k] - Hy[i - 1, j, k]) - updatecoeffsE[material, 2] * (Hx[i, j, k] - Hx[i, j - 1, k]) - updatecoeffsE[material, 4] * phi
cpdef update_ez_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int maxpoles, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Tz, floattype_t[:, :, :] Ez):
cpdef void update_ez_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int maxpoles, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Tz, floattype_t[:, :, ::1] Ez):
"""This function updates the Ez field components when dispersive materials (with multiple poles) are present.
Args:
@@ -320,20 +332,21 @@ cpdef update_ez_dispersive_multipole_B(int nx, int ny, int nz, int nthreads, int
updatecoeffs, T, ID, E (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex, p
cdef Py_ssize_t i, j, k, p
cdef int material
if nx == 1 or ny == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(0, nz):
listIndex = ID[2, i, j, k]
material = ID[2, i, j, k]
for p in range(0, maxpoles):
Tz[p, i, j, k] = Tz[p, i, j, k] - updatecoeffsdispersive[listIndex, 2 + (p * 3)] * Ez[i, j, k]
Tz[p, i, j, k] = Tz[p, i, j, k] - updatecoeffsdispersive[material, 2 + (p * 3)] * Ez[i, j, k]
cpdef update_ez_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsE, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Tz, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Hy):
cpdef void update_ez_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsE, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Tz, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Hy):
"""This function updates the Ez field components when dispersive materials (with 1 pole) are present.
Args:
@@ -342,22 +355,23 @@ cpdef update_ez_dispersive_1pole_A(int nx, int ny, int nz, int nthreads, floatty
updatecoeffs, T, ID, E, H (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
cdef float phi = 0.0
if nx == 1 or ny == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(0, nz):
listIndex = ID[2, i, j, k]
phi = updatecoeffsdispersive[listIndex, 0].real * Tz[0, i, j, k].real
Tz[0, i, j, k] = updatecoeffsdispersive[listIndex, 1] * Tz[0, i, j, k] + updatecoeffsdispersive[listIndex, 2] * Ez[i, j, k]
Ez[i, j, k] = updatecoeffsE[listIndex, 0] * Ez[i, j, k] + updatecoeffsE[listIndex, 1] * (Hy[i, j, k] - Hy[i - 1, j, k]) - updatecoeffsE[listIndex, 2] * (Hx[i, j, k] - Hx[i, j - 1, k]) - updatecoeffsE[listIndex, 4] * phi
material = ID[2, i, j, k]
phi = updatecoeffsdispersive[material, 0].real * Tz[0, i, j, k].real
Tz[0, i, j, k] = updatecoeffsdispersive[material, 1] * Tz[0, i, j, k] + updatecoeffsdispersive[material, 2] * Ez[i, j, k]
Ez[i, j, k] = updatecoeffsE[material, 0] * Ez[i, j, k] + updatecoeffsE[material, 1] * (Hy[i, j, k] - Hy[i - 1, j, k]) - updatecoeffsE[material, 2] * (Hx[i, j, k] - Hx[i, j - 1, k]) - updatecoeffsE[material, 4] * phi
cpdef update_ez_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complextype_t[:, :] updatecoeffsdispersive, np.uint32_t[:, :, :, :] ID, complextype_t[:, :, :, :] Tz, floattype_t[:, :, :] Ez):
cpdef void update_ez_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complextype_t[:, ::1] updatecoeffsdispersive, np.uint32_t[:, :, :, ::1] ID, complextype_t[:, :, :, ::1] Tz, floattype_t[:, :, ::1] Ez):
"""This function updates the Ez field components when dispersive materials (with 1 pole) are present.
Args:
@@ -366,22 +380,23 @@ cpdef update_ez_dispersive_1pole_B(int nx, int ny, int nz, int nthreads, complex
updatecoeffs, T, ID, E (memoryviews): Access to update coeffients, temporary, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if nx == 1 or ny == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(0, nz):
listIndex = ID[2, i, j, k]
Tz[0, i, j, k] = Tz[0, i, j, k] - updatecoeffsdispersive[listIndex, 2] * Ez[i, j, k]
material = ID[2, i, j, k]
Tz[0, i, j, k] = Tz[0, i, j, k] - updatecoeffsdispersive[material, 2] * Ez[i, j, k]
#########################################
# Magnetic field updates - Hx component #
#########################################
cpdef update_hx(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Ez):
cpdef void update_hx(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Ez):
"""This function updates the Hx field components.
Args:
@@ -390,22 +405,23 @@ cpdef update_hx(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updateco
updatecoeffs, ID, E, H (memoryviews): Access to update coeffients, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if nx == 1:
pass
else:
for i in prange(1, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(1, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i, j, k]
Hx[i, j, k] = updatecoeffsH[listIndex, 0] * Hx[i, j, k] - updatecoeffsH[listIndex, 2] * (Ez[i, j + 1, k] - Ez[i, j, k]) + updatecoeffsH[listIndex, 3] * (Ey[i, j, k + 1] - Ey[i, j, k])
material = ID[3, i, j, k]
Hx[i, j, k] = updatecoeffsH[material, 0] * Hx[i, j, k] - updatecoeffsH[material, 2] * (Ez[i, j + 1, k] - Ez[i, j, k]) + updatecoeffsH[material, 3] * (Ey[i, j, k + 1] - Ey[i, j, k])
#########################################
# Magnetic field updates - Hy component #
#########################################
cpdef update_hy(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Ez):
cpdef void update_hy(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Ez):
"""This function updates the Hy field components.
Args:
@@ -414,22 +430,23 @@ cpdef update_hy(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updateco
updatecoeffs, ID, E, H (memoryviews): Access to update coeffients, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if ny == 1:
pass
else:
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(1, ny):
for k in range(0, nz):
listIndex = ID[4, i, j, k]
Hy[i, j, k] = updatecoeffsH[listIndex, 0] * Hy[i, j, k] - updatecoeffsH[listIndex, 3] * (Ex[i, j, k + 1] - Ex[i, j, k]) + updatecoeffsH[listIndex, 1] * (Ez[i + 1, j, k] - Ez[i, j, k])
material = ID[4, i, j, k]
Hy[i, j, k] = updatecoeffsH[material, 0] * Hy[i, j, k] - updatecoeffsH[material, 3] * (Ex[i, j, k + 1] - Ex[i, j, k]) + updatecoeffsH[material, 1] * (Ez[i + 1, j, k] - Ez[i, j, k])
#########################################
# Magnetic field updates - Hz component #
#########################################
cpdef update_hz(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Ey):
cpdef void update_hz(int nx, int ny, int nz, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Ey):
"""This function updates the Hz field components.
Args:
@@ -438,14 +455,15 @@ cpdef update_hz(int nx, int ny, int nz, int nthreads, floattype_t[:, :] updateco
updatecoeffs, ID, E, H (memoryviews): Access to update coeffients, ID and field component arrays
"""
cdef int i, j, k, listIndex
cdef Py_ssize_t i, j, k
cdef int material
if nz == 1:
pass
else:
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(1, nz):
listIndex = ID[5, i, j, k]
Hz[i, j, k] = updatecoeffsH[listIndex, 0] * Hz[i, j, k] - updatecoeffsH[listIndex, 1] * (Ey[i + 1, j, k] - Ey[i, j, k]) + updatecoeffsH[listIndex, 2] * (Ex[i, j + 1, k] - Ex[i, j, k])
material = ID[5, i, j, k]
Hz[i, j, k] = updatecoeffsH[material, 0] * Hz[i, j, k] - updatecoeffsH[material, 1] * (Ey[i + 1, j, k] - Ey[i, j, k]) + updatecoeffsH[material, 2] * (Ex[i, j + 1, k] - Ex[i, j, k])

264
gprMax/pml_1order_update.pyx
查看文件

@@ -25,7 +25,7 @@ from gprMax.constants cimport floattype_t, complextype_t
#############################################
# Electric field PML updates - Ex component #
#############################################
cpdef update_pml_1order_ex_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hz, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef void update_pml_1order_ex_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hz, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Ex field components in the y stretching direction.
Args:
@@ -36,22 +36,23 @@ cpdef update_pml_1order_ex_yplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[0, i + xs, j + ys, k + zs]
material = ID[0, i + xs, j + ys, k + zs]
dHz = (Hz[i + xs, j + ys, k + zs] - Hz[i + xs, j - 1 + ys, k + zs]) / dy
Ex[i + xs, j + ys, k + zs] = Ex[i + xs, j + ys, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, j] - 1) * dHz + RB[0, j] * EPhi[0, i, j, k])
Ex[i + xs, j + ys, k + zs] = Ex[i + xs, j + ys, k + zs] + updatecoeffsE[material, 4] * ((RA[0, j] - 1) * dHz + RB[0, j] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, j] * EPhi[0, i, j, k] - RF[0, j] * dHz
cpdef update_pml_1order_ex_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hz, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef void update_pml_1order_ex_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hz, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Ex field components in the y stretching direction.
Args:
@@ -62,22 +63,23 @@ cpdef update_pml_1order_ex_yminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[0, i + xs, yf - j, k + zs]
material = ID[0, i + xs, yf - j, k + zs]
dHz = (Hz[i + xs, yf - j, k + zs] - Hz[i + xs, yf - j - 1, k + zs]) / dy
Ex[i + xs, yf - j, k + zs] = Ex[i + xs, yf - j, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, j] - 1) * dHz + RB[0, j] * EPhi[0, i, j, k])
Ex[i + xs, yf - j, k + zs] = Ex[i + xs, yf - j, k + zs] + updatecoeffsE[material, 4] * ((RA[0, j] - 1) * dHz + RB[0, j] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, j] * EPhi[0, i, j, k] - RF[0, j] * dHz
cpdef update_pml_1order_ex_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hy, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef void update_pml_1order_ex_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hy, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Ex field components in the z stretching direction.
Args:
@@ -88,22 +90,23 @@ cpdef update_pml_1order_ex_zplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[0, i + xs, j + ys, k + zs]
material = ID[0, i + xs, j + ys, k + zs]
dHy = (Hy[i + xs, j + ys, k + zs] - Hy[i + xs, j + ys, k - 1 + zs]) / dz
Ex[i + xs, j + ys, k + zs] = Ex[i + xs, j + ys, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, k] - 1) * dHy + RB[0, k] * EPhi[0, i, j, k])
Ex[i + xs, j + ys, k + zs] = Ex[i + xs, j + ys, k + zs] - updatecoeffsE[material, 4] * ((RA[0, k] - 1) * dHy + RB[0, k] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, k] * EPhi[0, i, j, k] - RF[0, k] * dHy
cpdef update_pml_1order_ex_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hy, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef void update_pml_1order_ex_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hy, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Ex field components in the z stretching direction.
Args:
@@ -114,25 +117,26 @@ cpdef update_pml_1order_ex_zminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[0, i + xs, j + ys, zf - k]
material = ID[0, i + xs, j + ys, zf - k]
dHy = (Hy[i + xs, j + ys, zf - k] - Hy[i + xs, j + ys, zf - k - 1]) / dz
Ex[i + xs, j + ys, zf - k] = Ex[i + xs, j + ys, zf - k] - updatecoeffsE[listIndex, 4] * ((RA[0, k] - 1) * dHy + RB[0, k] * EPhi[0, i, j, k])
Ex[i + xs, j + ys, zf - k] = Ex[i + xs, j + ys, zf - k] - updatecoeffsE[material, 4] * ((RA[0, k] - 1) * dHy + RB[0, k] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, k] * EPhi[0, i, j, k] - RF[0, k] * dHy
#############################################
# Electric field PML updates - Ey component #
#############################################
cpdef update_pml_1order_ey_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hz, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef void update_pml_1order_ey_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hz, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Ey field components in the x stretching direction.
Args:
@@ -143,22 +147,23 @@ cpdef update_pml_1order_ey_xplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[1, i + xs, j + ys, k + zs]
material = ID[1, i + xs, j + ys, k + zs]
dHz = (Hz[i + xs, j + ys, k + zs] - Hz[i - 1 + xs, j + ys, k + zs]) / dx
Ey[i + xs, j + ys, k + zs] = Ey[i + xs, j + ys, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, i] - 1) * dHz + RB[0, i] * EPhi[0, i, j, k])
Ey[i + xs, j + ys, k + zs] = Ey[i + xs, j + ys, k + zs] - updatecoeffsE[material, 4] * ((RA[0, i] - 1) * dHz + RB[0, i] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, i] * EPhi[0, i, j, k] - RF[0, i] * dHz
cpdef update_pml_1order_ey_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hz, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef void update_pml_1order_ey_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hz, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Ey field components in the x stretching direction.
Args:
@@ -169,22 +174,23 @@ cpdef update_pml_1order_ey_xminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[1, xf - i, j + ys, k + zs]
material = ID[1, xf - i, j + ys, k + zs]
dHz = (Hz[xf - i, j + ys, k + zs] - Hz[xf - i - 1, j + ys, k + zs]) / dx
Ey[xf - i, j + ys, k + zs] = Ey[xf - i, j + ys, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, i] - 1) * dHz + RB[0, i] * EPhi[0, i, j, k])
Ey[xf - i, j + ys, k + zs] = Ey[xf - i, j + ys, k + zs] - updatecoeffsE[material, 4] * ((RA[0, i] - 1) * dHz + RB[0, i] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, i] * EPhi[0, i, j, k] - RF[0, i] * dHz
cpdef update_pml_1order_ey_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hx, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef void update_pml_1order_ey_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hx, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Ey field components in the z stretching direction.
Args:
@@ -195,22 +201,23 @@ cpdef update_pml_1order_ey_zplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[1, i + xs, j + ys, k + zs]
material = ID[1, i + xs, j + ys, k + zs]
dHx = (Hx[i + xs, j + ys, k + zs] - Hx[i + xs, j + ys, k - 1 + zs]) / dz
Ey[i + xs, j + ys, k + zs] = Ey[i + xs, j + ys, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, k] - 1) * dHx + RB[0, k] * EPhi[0, i, j, k])
Ey[i + xs, j + ys, k + zs] = Ey[i + xs, j + ys, k + zs] + updatecoeffsE[material, 4] * ((RA[0, k] - 1) * dHx + RB[0, k] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, k] * EPhi[0, i, j, k] - RF[0, k] * dHx
cpdef update_pml_1order_ey_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hx, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef void update_pml_1order_ey_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hx, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Ey field components in the z stretching direction.
Args:
@@ -221,25 +228,26 @@ cpdef update_pml_1order_ey_zminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[1, i + xs, j + ys, zf - k]
material = ID[1, i + xs, j + ys, zf - k]
dHx = (Hx[i + xs, j + ys, zf - k] - Hx[i + xs, j + ys, zf - k - 1]) / dz
Ey[i + xs, j + ys, zf - k] = Ey[i + xs, j + ys, zf - k] + updatecoeffsE[listIndex, 4] * ((RA[0, k] - 1) * dHx + RB[0, k] * EPhi[0, i, j, k])
Ey[i + xs, j + ys, zf - k] = Ey[i + xs, j + ys, zf - k] + updatecoeffsE[material, 4] * ((RA[0, k] - 1) * dHx + RB[0, k] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, k] * EPhi[0, i, j, k] - RF[0, k] * dHx
#############################################
# Electric field PML updates - Ez component #
#############################################
cpdef update_pml_1order_ez_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hy, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef void update_pml_1order_ez_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hy, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Ey field components in the z stretching direction.
Args:
@@ -250,22 +258,23 @@ cpdef update_pml_1order_ez_xplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[2, i + xs, j + ys, k + zs]
material = ID[2, i + xs, j + ys, k + zs]
dHy = (Hy[i + xs, j + ys, k + zs] - Hy[i - 1 + xs, j + ys, k + zs]) / dx
Ez[i + xs, j + ys, k + zs] = Ez[i + xs, j + ys, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, i] - 1) * dHy + RB[0, i] * EPhi[0, i, j, k])
Ez[i + xs, j + ys, k + zs] = Ez[i + xs, j + ys, k + zs] + updatecoeffsE[material, 4] * ((RA[0, i] - 1) * dHy + RB[0, i] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, i] * EPhi[0, i, j, k] - RF[0, i] * dHy
cpdef update_pml_1order_ez_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hy, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef void update_pml_1order_ez_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hy, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Ez field components in the x stretching direction.
Args:
@@ -276,22 +285,23 @@ cpdef update_pml_1order_ez_xminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[2, xf - i, j + ys, k + zs]
material = ID[2, xf - i, j + ys, k + zs]
dHy = (Hy[xf - i, j + ys, k + zs] - Hy[xf - i - 1, j + ys, k + zs]) / dx
Ez[xf - i, j + ys, k + zs] = Ez[xf - i, j + ys, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, i] - 1) * dHy + RB[0, i] * EPhi[0, i, j, k])
Ez[xf - i, j + ys, k + zs] = Ez[xf - i, j + ys, k + zs] + updatecoeffsE[material, 4] * ((RA[0, i] - 1) * dHy + RB[0, i] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, i] * EPhi[0, i, j, k] - RF[0, i] * dHy
cpdef update_pml_1order_ez_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hx, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef void update_pml_1order_ez_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hx, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Ez field components in the y stretching direction.
Args:
@@ -302,22 +312,23 @@ cpdef update_pml_1order_ez_yplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[2, i + xs, j + ys, k + zs]
material = ID[2, i + xs, j + ys, k + zs]
dHx = (Hx[i + xs, j + ys, k + zs] - Hx[i + xs, j - 1 + ys, k + zs]) / dy
Ez[i + xs, j + ys, k + zs] = Ez[i + xs, j + ys, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, j] - 1) * dHx + RB[0, j] * EPhi[0, i, j, k])
Ez[i + xs, j + ys, k + zs] = Ez[i + xs, j + ys, k + zs] - updatecoeffsE[material, 4] * ((RA[0, j] - 1) * dHx + RB[0, j] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, j] * EPhi[0, i, j, k] - RF[0, j] * dHx
cpdef update_pml_1order_ez_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hx, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef void update_pml_1order_ez_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hx, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Ez field components in the y stretching direction.
Args:
@@ -328,25 +339,26 @@ cpdef update_pml_1order_ez_yminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[2, i + xs, yf - j, k + zs]
material = ID[2, i + xs, yf - j, k + zs]
dHx = (Hx[i + xs, yf - j, k + zs] - Hx[i + xs, yf - j - 1, k + zs]) / dy
Ez[i + xs, yf - j, k + zs] = Ez[i + xs, yf - j, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, j] - 1) * dHx + RB[0, j] * EPhi[0, i, j, k])
Ez[i + xs, yf - j, k + zs] = Ez[i + xs, yf - j, k + zs] - updatecoeffsE[material, 4] * ((RA[0, j] - 1) * dHx + RB[0, j] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, j] * EPhi[0, i, j, k] - RF[0, j] * dHx
#############################################
# Magnetic field PML updates - Hx component #
#############################################
cpdef update_pml_1order_hx_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ez, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef void update_pml_1order_hx_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ez, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Hx field components in the y stretching direction.
Args:
@@ -357,22 +369,23 @@ cpdef update_pml_1order_hx_yplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i + xs, j + ys, k + zs]
material = ID[3, i + xs, j + ys, k + zs]
dEz = (Ez[i + xs, j + 1 + ys, k + zs] - Ez[i + xs, j + ys, k + zs]) / dy
Hx[i + xs, j + ys, k + zs] = Hx[i + xs, j + ys, k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, j] - 1) * dEz + RB[0, j] * HPhi[0, i, j, k])
Hx[i + xs, j + ys, k + zs] = Hx[i + xs, j + ys, k + zs] - updatecoeffsH[material, 4] * ((RA[0, j] - 1) * dEz + RB[0, j] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, j] * HPhi[0, i, j, k] - RF[0, j] * dEz
cpdef update_pml_1order_hx_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ez, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef void update_pml_1order_hx_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ez, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Hx field components in the y stretching direction.
Args:
@@ -383,22 +396,23 @@ cpdef update_pml_1order_hx_yminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i + xs, yf - (j + 1), k + zs]
material = ID[3, i + xs, yf - (j + 1), k + zs]
dEz = (Ez[i + xs, yf - j, k + zs] - Ez[i + xs, yf - (j + 1), k + zs]) / dy
Hx[i + xs, yf - (j + 1), k + zs] = Hx[i + xs, yf - (j + 1), k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, j] - 1) * dEz + RB[0, j] * HPhi[0, i, j, k])
Hx[i + xs, yf - (j + 1), k + zs] = Hx[i + xs, yf - (j + 1), k + zs] - updatecoeffsH[material, 4] * ((RA[0, j] - 1) * dEz + RB[0, j] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, j] * HPhi[0, i, j, k] - RF[0, j] * dEz
cpdef update_pml_1order_hx_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ey, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef void update_pml_1order_hx_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ey, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Hx field components in the z stretching direction.
Args:
@@ -409,22 +423,23 @@ cpdef update_pml_1order_hx_zplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i + xs, j + ys, k + zs]
material = ID[3, i + xs, j + ys, k + zs]
dEy = (Ey[i + xs, j + ys, k + 1 + zs] - Ey[i + xs, j + ys, k + zs]) / dz
Hx[i + xs, j + ys, k + zs] = Hx[i + xs, j + ys, k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, k] - 1) * dEy + RB[0, k] * HPhi[0, i, j, k])
Hx[i + xs, j + ys, k + zs] = Hx[i + xs, j + ys, k + zs] + updatecoeffsH[material, 4] * ((RA[0, k] - 1) * dEy + RB[0, k] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, k] * HPhi[0, i, j, k] - RF[0, k] * dEy
cpdef update_pml_1order_hx_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ey, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef void update_pml_1order_hx_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ey, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Hx field components in the z stretching direction.
Args:
@@ -435,25 +450,26 @@ cpdef update_pml_1order_hx_zminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i + xs, j + ys, zf - (k + 1)]
material = ID[3, i + xs, j + ys, zf - (k + 1)]
dEy = (Ey[i + xs, j + ys, zf - k] - Ey[i + xs, j + ys, zf - (k + 1)]) / dz
Hx[i + xs, j + ys, zf - (k + 1)] = Hx[i + xs, j + ys, zf - (k + 1)] + updatecoeffsH[listIndex, 4] * ((RA[0, k] - 1) * dEy + RB[0, k] * HPhi[0, i, j, k])
Hx[i + xs, j + ys, zf - (k + 1)] = Hx[i + xs, j + ys, zf - (k + 1)] + updatecoeffsH[material, 4] * ((RA[0, k] - 1) * dEy + RB[0, k] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, k] * HPhi[0, i, j, k] - RF[0, k] * dEy
#############################################
# Magnetic field PML updates - Hy component #
#############################################
cpdef update_pml_1order_hy_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ez, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef void update_pml_1order_hy_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ez, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Hy field components in the x stretching direction.
Args:
@@ -464,22 +480,23 @@ cpdef update_pml_1order_hy_xplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[4, i + xs, j + ys, k + zs]
material = ID[4, i + xs, j + ys, k + zs]
dEz = (Ez[i + 1 + xs, j + ys, k + zs] - Ez[i + xs, j + ys, k + zs]) / dx
Hy[i + xs, j + ys, k + zs] = Hy[i + xs, j + ys, k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, i] - 1) * dEz + RB[0, i] * HPhi[0, i, j, k])
Hy[i + xs, j + ys, k + zs] = Hy[i + xs, j + ys, k + zs] + updatecoeffsH[material, 4] * ((RA[0, i] - 1) * dEz + RB[0, i] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, i] * HPhi[0, i, j, k] - RF[0, i] * dEz
cpdef update_pml_1order_hy_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ez, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef void update_pml_1order_hy_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ez, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Hy field components in the x stretching direction.
Args:
@@ -490,22 +507,23 @@ cpdef update_pml_1order_hy_xminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[4, xf - (i + 1), j + ys, k + zs]
material = ID[4, xf - (i + 1), j + ys, k + zs]
dEz = (Ez[xf - i, j + ys, k + zs] - Ez[xf - (i + 1), j + ys, k + zs]) / dx
Hy[xf - (i + 1), j + ys, k + zs] = Hy[xf - (i + 1), j + ys, k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, i] - 1) * dEz + RB[0, i] * HPhi[0, i, j, k])
Hy[xf - (i + 1), j + ys, k + zs] = Hy[xf - (i + 1), j + ys, k + zs] + updatecoeffsH[material, 4] * ((RA[0, i] - 1) * dEz + RB[0, i] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, i] * HPhi[0, i, j, k] - RF[0, i] * dEz
cpdef update_pml_1order_hy_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ex, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef void update_pml_1order_hy_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ex, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Hy field components in the z stretching direction.
Args:
@@ -516,22 +534,23 @@ cpdef update_pml_1order_hy_zplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[4, i + xs, j + ys, k + zs]
material = ID[4, i + xs, j + ys, k + zs]
dEx = (Ex[i + xs, j + ys, k + 1 + zs] - Ex[i + xs, j + ys, k + zs]) / dz
Hy[i + xs, j + ys, k + zs] = Hy[i + xs, j + ys, k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, k] - 1) * dEx + RB[0, k] * HPhi[0, i, j, k])
Hy[i + xs, j + ys, k + zs] = Hy[i + xs, j + ys, k + zs] - updatecoeffsH[material, 4] * ((RA[0, k] - 1) * dEx + RB[0, k] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, k] * HPhi[0, i, j, k] - RF[0, k] * dEx
cpdef update_pml_1order_hy_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ex, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef void update_pml_1order_hy_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ex, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Hy field components in the z stretching direction.
Args:
@@ -542,25 +561,26 @@ cpdef update_pml_1order_hy_zminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[4, i + xs, j + ys, zf - (k + 1)]
material = ID[4, i + xs, j + ys, zf - (k + 1)]
dEx = (Ex[i + xs, j + ys, zf - k] - Ex[i + xs, j + ys, zf - (k + 1)]) / dz
Hy[i + xs, j + ys, zf - (k + 1)] = Hy[i + xs, j + ys, zf - (k + 1)] - updatecoeffsH[listIndex, 4] * ((RA[0, k] - 1) * dEx + RB[0, k] * HPhi[0, i, j, k])
Hy[i + xs, j + ys, zf - (k + 1)] = Hy[i + xs, j + ys, zf - (k + 1)] - updatecoeffsH[material, 4] * ((RA[0, k] - 1) * dEx + RB[0, k] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, k] * HPhi[0, i, j, k] - RF[0, k] * dEx
#############################################
# Magnetic field PML updates - Hz component #
#############################################
cpdef update_pml_1order_hz_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ey, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef void update_pml_1order_hz_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ey, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Hz field components in the x stretching direction.
Args:
@@ -571,22 +591,23 @@ cpdef update_pml_1order_hz_xplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[5, i + xs, j + ys, k + zs]
material = ID[5, i + xs, j + ys, k + zs]
dEy = (Ey[i + 1 + xs, j + ys, k + zs] - Ey[i + xs, j + ys, k + zs]) / dx
Hz[i + xs, j + ys, k + zs] = Hz[i + xs, j + ys, k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, i] - 1) * dEy + RB[0, i] * HPhi[0, i, j, k])
Hz[i + xs, j + ys, k + zs] = Hz[i + xs, j + ys, k + zs] - updatecoeffsH[material, 4] * ((RA[0, i] - 1) * dEy + RB[0, i] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, i] * HPhi[0, i, j, k] - RF[0, i] * dEy
cpdef update_pml_1order_hz_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ey, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef void update_pml_1order_hz_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ey, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Hz field components in the x stretching direction.
Args:
@@ -597,22 +618,23 @@ cpdef update_pml_1order_hz_xminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[5, xf - (i + 1), j + ys, k + zs]
material = ID[5, xf - (i + 1), j + ys, k + zs]
dEy = (Ey[xf - i, j + ys, k + zs] - Ey[xf - (i + 1), j + ys, k + zs]) / dx
Hz[xf - (i + 1), j + ys, k + zs] = Hz[xf - (i + 1), j + ys, k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, i] - 1) * dEy + RB[0, i] * HPhi[0, i, j, k])
Hz[xf - (i + 1), j + ys, k + zs] = Hz[xf - (i + 1), j + ys, k + zs] - updatecoeffsH[material, 4] * ((RA[0, i] - 1) * dEy + RB[0, i] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, i] * HPhi[0, i, j, k] - RF[0, i] * dEy
cpdef update_pml_1order_hz_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ex, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef void update_pml_1order_hz_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ex, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Hz field components in the y stretching direction.
Args:
@@ -623,22 +645,23 @@ cpdef update_pml_1order_hz_yplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[5, i + xs, j + ys, k + zs]
material = ID[5, i + xs, j + ys, k + zs]
dEx = (Ex[i + xs, j + 1 + ys, k + zs] - Ex[i + xs, j + ys, k + zs]) / dy
Hz[i + xs, j + ys, k + zs] = Hz[i + xs, j + ys, k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, j] - 1) * dEx + RB[0, j] * HPhi[0, i, j, k])
Hz[i + xs, j + ys, k + zs] = Hz[i + xs, j + ys, k + zs] + updatecoeffsH[material, 4] * ((RA[0, j] - 1) * dEx + RB[0, j] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, j] * HPhi[0, i, j, k] - RF[0, j] * dEx
cpdef update_pml_1order_hz_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ex, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef void update_pml_1order_hz_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ex, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Hz field components in the y stretching direction.
Args:
@@ -649,17 +672,18 @@ cpdef update_pml_1order_hz_yminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[5, i + xs, yf - (j + 1), k + zs]
material = ID[5, i + xs, yf - (j + 1), k + zs]
dEx = (Ex[i + xs, yf - j, k + zs] - Ex[i + xs, yf - (j + 1), k + zs]) / dy
Hz[i + xs, yf - (j + 1), k + zs] = Hz[i + xs, yf - (j + 1), k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, j] - 1) * dEx + RB[0, j] * HPhi[0, i, j, k])
Hz[i + xs, yf - (j + 1), k + zs] = Hz[i + xs, yf - (j + 1), k + zs] + updatecoeffsH[material, 4] * ((RA[0, j] - 1) * dEx + RB[0, j] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, j] * HPhi[0, i, j, k] - RF[0, j] * dEx

264
gprMax/pml_2order_update.pyx
查看文件

@@ -25,7 +25,7 @@ from gprMax.constants cimport floattype_t, complextype_t
#############################################
# Electric field PML updates - Ex component #
#############################################
cpdef update_pml_2order_ex_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hz, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef update_pml_2order_ex_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hz, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Ex field components in the y stretching direction.
Args:
@@ -36,23 +36,24 @@ cpdef update_pml_2order_ex_yplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[0, i + xs, j + ys, k + zs]
material = ID[0, i + xs, j + ys, k + zs]
dHz = (Hz[i + xs, j + ys, k + zs] - Hz[i + xs, j - 1 + ys, k + zs]) / dy
Ex[i + xs, j + ys, k + zs] = Ex[i + xs, j + ys, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, j] * RA[1, j] - 1) * dHz + RA[1, j] * RB[0, j] * EPhi[0, i, j, k] + RB[1, j] * EPhi[1, i, j, k])
Ex[i + xs, j + ys, k + zs] = Ex[i + xs, j + ys, k + zs] + updatecoeffsE[material, 4] * ((RA[0, j] * RA[1, j] - 1) * dHz + RA[1, j] * RB[0, j] * EPhi[0, i, j, k] + RB[1, j] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, j] * EPhi[1, i, j, k] - RF[1, j] * (RA[0, j] * dHz + RB[0, j] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, j] * EPhi[0, i, j, k] - RF[0, j] * dHz
cpdef update_pml_2order_ex_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hz, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef update_pml_2order_ex_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hz, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Ex field components in the y stretching direction.
Args:
@@ -63,23 +64,24 @@ cpdef update_pml_2order_ex_yminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[0, i + xs, yf - j, k + zs]
material = ID[0, i + xs, yf - j, k + zs]
dHz = (Hz[i + xs, yf - j, k + zs] - Hz[i + xs, yf - j - 1, k + zs]) / dy
Ex[i + xs, yf - j, k + zs] = Ex[i + xs, yf - j, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, j] * RA[1, j] - 1) * dHz + RA[1, j] * RB[0, j] * EPhi[0, i, j, k] + RB[1, j] * EPhi[1, i, j, k])
Ex[i + xs, yf - j, k + zs] = Ex[i + xs, yf - j, k + zs] + updatecoeffsE[material, 4] * ((RA[0, j] * RA[1, j] - 1) * dHz + RA[1, j] * RB[0, j] * EPhi[0, i, j, k] + RB[1, j] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, j] * EPhi[1, i, j, k] - RF[1, j] * (RA[0, j] * dHz + RB[0, j] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, j] * EPhi[0, i, j, k] - RF[0, j] * dHz
cpdef update_pml_2order_ex_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hy, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef update_pml_2order_ex_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hy, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Ex field components in the z stretching direction.
Args:
@@ -90,23 +92,24 @@ cpdef update_pml_2order_ex_zplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[0, i + xs, j + ys, k + zs]
material = ID[0, i + xs, j + ys, k + zs]
dHy = (Hy[i + xs, j + ys, k + zs] - Hy[i + xs, j + ys, k - 1 + zs]) / dz
Ex[i + xs, j + ys, k + zs] = Ex[i + xs, j + ys, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, k] * RA[1, k] - 1) * dHy + RA[1, k] * RB[0, k] * EPhi[0, i, j, k] + RB[1, k] * EPhi[1, i, j, k])
Ex[i + xs, j + ys, k + zs] = Ex[i + xs, j + ys, k + zs] - updatecoeffsE[material, 4] * ((RA[0, k] * RA[1, k] - 1) * dHy + RA[1, k] * RB[0, k] * EPhi[0, i, j, k] + RB[1, k] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, k] * EPhi[1, i, j, k] - RF[1, k] * (RA[0, k] * dHy + RB[0, k] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, k] * EPhi[0, i, j, k] - RF[0, k] * dHy
cpdef update_pml_2order_ex_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ex, floattype_t[:, :, :] Hy, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef update_pml_2order_ex_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ex, floattype_t[:, :, ::1] Hy, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Ex field components in the z stretching direction.
Args:
@@ -117,18 +120,19 @@ cpdef update_pml_2order_ex_zminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[0, i + xs, j + ys, zf - k]
material = ID[0, i + xs, j + ys, zf - k]
dHy = (Hy[i + xs, j + ys, zf - k] - Hy[i + xs, j + ys, zf - k - 1]) / dz
Ex[i + xs, j + ys, zf - k] = Ex[i + xs, j + ys, zf - k] - updatecoeffsE[listIndex, 4] * ((RA[0, k] * RA[1, k] - 1) * dHy + RA[1, k] * RB[0, k] * EPhi[0, i, j, k] + RB[1, k] * EPhi[1, i, j, k])
Ex[i + xs, j + ys, zf - k] = Ex[i + xs, j + ys, zf - k] - updatecoeffsE[material, 4] * ((RA[0, k] * RA[1, k] - 1) * dHy + RA[1, k] * RB[0, k] * EPhi[0, i, j, k] + RB[1, k] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, k] * EPhi[1, i, j, k] - RF[1, k] * (RA[0, k] * dHy + RB[0, k] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, k] * EPhi[0, i, j, k] - RF[0, k] * dHy
@@ -136,7 +140,7 @@ cpdef update_pml_2order_ex_zminus(int xs, int xf, int ys, int yf, int zs, int zf
#############################################
# Electric field PML updates - Ey component #
#############################################
cpdef update_pml_2order_ey_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hz, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef update_pml_2order_ey_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hz, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Ey field components in the x stretching direction.
Args:
@@ -147,23 +151,24 @@ cpdef update_pml_2order_ey_xplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[1, i + xs, j + ys, k + zs]
material = ID[1, i + xs, j + ys, k + zs]
dHz = (Hz[i + xs, j + ys, k + zs] - Hz[i - 1 + xs, j + ys, k + zs]) / dx
Ey[i + xs, j + ys, k + zs] = Ey[i + xs, j + ys, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, i] * RA[1, i] - 1) * dHz + RA[1, i] * RB[0, i] * EPhi[0, i, j, k] + RB[1, i] * EPhi[1, i, j, k])
Ey[i + xs, j + ys, k + zs] = Ey[i + xs, j + ys, k + zs] - updatecoeffsE[material, 4] * ((RA[0, i] * RA[1, i] - 1) * dHz + RA[1, i] * RB[0, i] * EPhi[0, i, j, k] + RB[1, i] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, i] * EPhi[1, i, j, k] - RF[1, i] * (RA[0, i] * dHz + RB[0, i] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, i] * EPhi[0, i, j, k] - RF[0, i] * dHz
cpdef update_pml_2order_ey_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hz, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef update_pml_2order_ey_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hz, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Ey field components in the x stretching direction.
Args:
@@ -174,23 +179,24 @@ cpdef update_pml_2order_ey_xminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[1, xf - i, j + ys, k + zs]
material = ID[1, xf - i, j + ys, k + zs]
dHz = (Hz[xf - i, j + ys, k + zs] - Hz[xf - i - 1, j + ys, k + zs]) / dx
Ey[xf - i, j + ys, k + zs] = Ey[xf - i, j + ys, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, i] * RA[1, i] - 1) * dHz + RA[1, i] * RB[0, i] * EPhi[0, i, j, k] + RB[1, i] * EPhi[1, i, j, k])
Ey[xf - i, j + ys, k + zs] = Ey[xf - i, j + ys, k + zs] - updatecoeffsE[material, 4] * ((RA[0, i] * RA[1, i] - 1) * dHz + RA[1, i] * RB[0, i] * EPhi[0, i, j, k] + RB[1, i] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, i] * EPhi[1, i, j, k] - RF[1, i] * (RA[0, i] * dHz + RB[0, i] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, i] * EPhi[0, i, j, k] - RF[0, i] * dHz
cpdef update_pml_2order_ey_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hx, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef update_pml_2order_ey_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hx, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Ey field components in the z stretching direction.
Args:
@@ -201,23 +207,24 @@ cpdef update_pml_2order_ey_zplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[1, i + xs, j + ys, k + zs]
material = ID[1, i + xs, j + ys, k + zs]
dHx = (Hx[i + xs, j + ys, k + zs] - Hx[i + xs, j + ys, k - 1 + zs]) / dz
Ey[i + xs, j + ys, k + zs] = Ey[i + xs, j + ys, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, k] * RA[1, k] - 1) * dHx + RA[1, k] * RB[0, k] * EPhi[0, i, j, k] + RB[1, k] * EPhi[1, i, j, k])
Ey[i + xs, j + ys, k + zs] = Ey[i + xs, j + ys, k + zs] + updatecoeffsE[material, 4] * ((RA[0, k] * RA[1, k] - 1) * dHx + RA[1, k] * RB[0, k] * EPhi[0, i, j, k] + RB[1, k] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, k] * EPhi[1, i, j, k] - RF[1, k] * (RA[0, k] * dHx + RB[0, k] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, k] * EPhi[0, i, j, k] - RF[0, k] * dHx
cpdef update_pml_2order_ey_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ey, floattype_t[:, :, :] Hx, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef update_pml_2order_ey_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ey, floattype_t[:, :, ::1] Hx, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Ey field components in the z stretching direction.
Args:
@@ -228,18 +235,19 @@ cpdef update_pml_2order_ey_zminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[1, i + xs, j + ys, zf - k]
material = ID[1, i + xs, j + ys, zf - k]
dHx = (Hx[i + xs, j + ys, zf - k] - Hx[i + xs, j + ys, zf - k - 1]) / dz
Ey[i + xs, j + ys, zf - k] = Ey[i + xs, j + ys, zf - k] + updatecoeffsE[listIndex, 4] * ((RA[0, k] * RA[1, k] - 1) * dHx + RA[1, k] * RB[0, k] * EPhi[0, i, j, k] + RB[1, k] * EPhi[1, i, j, k])
Ey[i + xs, j + ys, zf - k] = Ey[i + xs, j + ys, zf - k] + updatecoeffsE[material, 4] * ((RA[0, k] * RA[1, k] - 1) * dHx + RA[1, k] * RB[0, k] * EPhi[0, i, j, k] + RB[1, k] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, k] * EPhi[1, i, j, k] - RF[1, k] * (RA[0, k] * dHx + RB[0, k] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, k] * EPhi[0, i, j, k] - RF[0, k] * dHx
@@ -247,7 +255,7 @@ cpdef update_pml_2order_ey_zminus(int xs, int xf, int ys, int yf, int zs, int zf
#############################################
# Electric field PML updates - Ez component #
#############################################
cpdef update_pml_2order_ez_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hy, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef update_pml_2order_ez_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hy, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Ey field components in the z stretching direction.
Args:
@@ -258,23 +266,24 @@ cpdef update_pml_2order_ez_xplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[2, i + xs, j + ys, k + zs]
material = ID[2, i + xs, j + ys, k + zs]
dHy = (Hy[i + xs, j + ys, k + zs] - Hy[i - 1 + xs, j + ys, k + zs]) / dx
Ez[i + xs, j + ys, k + zs] = Ez[i + xs, j + ys, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, i] * RA[1, i] - 1) * dHy + RA[1, i] * RB[0, i] * EPhi[0, i, j, k] + RB[1, i] * EPhi[1, i, j, k])
Ez[i + xs, j + ys, k + zs] = Ez[i + xs, j + ys, k + zs] + updatecoeffsE[material, 4] * ((RA[0, i] * RA[1, i] - 1) * dHy + RA[1, i] * RB[0, i] * EPhi[0, i, j, k] + RB[1, i] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, i] * EPhi[1, i, j, k] - RF[1, i] * (RA[0, i] * dHy + RB[0, i] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, i] * EPhi[0, i, j, k] - RF[0, i] * dHy
cpdef update_pml_2order_ez_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hy, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef update_pml_2order_ez_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hy, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Ez field components in the x stretching direction.
Args:
@@ -285,23 +294,24 @@ cpdef update_pml_2order_ez_xminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[2, xf - i, j + ys, k + zs]
material = ID[2, xf - i, j + ys, k + zs]
dHy = (Hy[xf - i, j + ys, k + zs] - Hy[xf - i - 1, j + ys, k + zs]) / dx
Ez[xf - i, j + ys, k + zs] = Ez[xf - i, j + ys, k + zs] + updatecoeffsE[listIndex, 4] * ((RA[0, i] * RA[1, i] - 1) * dHy + RA[1, i] * RB[0, i] * EPhi[0, i, j, k] + RB[1, i] * EPhi[1, i, j, k])
Ez[xf - i, j + ys, k + zs] = Ez[xf - i, j + ys, k + zs] + updatecoeffsE[material, 4] * ((RA[0, i] * RA[1, i] - 1) * dHy + RA[1, i] * RB[0, i] * EPhi[0, i, j, k] + RB[1, i] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, i] * EPhi[1, i, j, k] - RF[1, i] * (RA[0, i] * dHy + RB[0, i] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, i] * EPhi[0, i, j, k] - RF[0, i] * dHy
cpdef update_pml_2order_ez_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hx, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef update_pml_2order_ez_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hx, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Ez field components in the y stretching direction.
Args:
@@ -312,23 +322,24 @@ cpdef update_pml_2order_ez_yplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[2, i + xs, j + ys, k + zs]
material = ID[2, i + xs, j + ys, k + zs]
dHx = (Hx[i + xs, j + ys, k + zs] - Hx[i + xs, j - 1 + ys, k + zs]) / dy
Ez[i + xs, j + ys, k + zs] = Ez[i + xs, j + ys, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, j] * RA[1, j] - 1) * dHx + RA[1, j] * RB[0, j] * EPhi[0, i, j, k] + RB[1, j] * EPhi[1, i, j, k])
Ez[i + xs, j + ys, k + zs] = Ez[i + xs, j + ys, k + zs] - updatecoeffsE[material, 4] * ((RA[0, j] * RA[1, j] - 1) * dHx + RA[1, j] * RB[0, j] * EPhi[0, i, j, k] + RB[1, j] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, j] * EPhi[1, i, j, k] - RF[1, j] * (RA[0, j] * dHx + RB[0, j] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, j] * EPhi[0, i, j, k] - RF[0, j] * dHx
cpdef update_pml_2order_ez_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsE, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Ez, floattype_t[:, :, :] Hx, floattype_t[:, :, :, :] EPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef update_pml_2order_ez_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsE, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Ez, floattype_t[:, :, ::1] Hx, floattype_t[:, :, :, ::1] EPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Ez field components in the y stretching direction.
Args:
@@ -339,18 +350,19 @@ cpdef update_pml_2order_ez_yminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dHx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[2, i + xs, yf - j, k + zs]
material = ID[2, i + xs, yf - j, k + zs]
dHx = (Hx[i + xs, yf - j, k + zs] - Hx[i + xs, yf - j - 1, k + zs]) / dy
Ez[i + xs, yf - j, k + zs] = Ez[i + xs, yf - j, k + zs] - updatecoeffsE[listIndex, 4] * ((RA[0, j] * RA[1, j] - 1) * dHx + RA[1, j] * RB[0, j] * EPhi[0, i, j, k] + RB[1, j] * EPhi[1, i, j, k])
Ez[i + xs, yf - j, k + zs] = Ez[i + xs, yf - j, k + zs] - updatecoeffsE[material, 4] * ((RA[0, j] * RA[1, j] - 1) * dHx + RA[1, j] * RB[0, j] * EPhi[0, i, j, k] + RB[1, j] * EPhi[1, i, j, k])
EPhi[1, i, j, k] = RE[1, j] * EPhi[1, i, j, k] - RF[1, j] * (RA[0, j] * dHx + RB[0, j] * EPhi[0, i, j, k])
EPhi[0, i, j, k] = RE[0, j] * EPhi[0, i, j, k] - RF[0, j] * dHx
@@ -358,7 +370,7 @@ cpdef update_pml_2order_ez_yminus(int xs, int xf, int ys, int yf, int zs, int zf
#############################################
# Magnetic field PML updates - Hx component #
#############################################
cpdef update_pml_2order_hx_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ez, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef update_pml_2order_hx_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ez, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Hx field components in the y stretching direction.
Args:
@@ -369,23 +381,24 @@ cpdef update_pml_2order_hx_yplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i + xs, j + ys, k + zs]
material = ID[3, i + xs, j + ys, k + zs]
dEz = (Ez[i + xs, j + 1 + ys, k + zs] - Ez[i + xs, j + ys, k + zs]) / dy
Hx[i + xs, j + ys, k + zs] = Hx[i + xs, j + ys, k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, j] * RA[1, j] - 1) * dEz + RA[1, j] * RB[0, j] * HPhi[0, i, j, k] + RB[1, j] * HPhi[1, i, j, k])
Hx[i + xs, j + ys, k + zs] = Hx[i + xs, j + ys, k + zs] - updatecoeffsH[material, 4] * ((RA[0, j] * RA[1, j] - 1) * dEz + RA[1, j] * RB[0, j] * HPhi[0, i, j, k] + RB[1, j] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, j] * HPhi[1, i, j, k] - RF[1, j] * (RA[0, j] * dEz + RB[0, j] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, j] * HPhi[0, i, j, k] - RF[0, j] * dEz
cpdef update_pml_2order_hx_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ez, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef update_pml_2order_hx_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ez, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Hx field components in the y stretching direction.
Args:
@@ -396,23 +409,24 @@ cpdef update_pml_2order_hx_yminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i + xs, yf - (j + 1), k + zs]
material = ID[3, i + xs, yf - (j + 1), k + zs]
dEz = (Ez[i + xs, yf - j, k + zs] - Ez[i + xs, yf - (j + 1), k + zs]) / dy
Hx[i + xs, yf - (j + 1), k + zs] = Hx[i + xs, yf - (j + 1), k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, j] * RA[1, j] - 1) * dEz + RA[1, j] * RB[0, j] * HPhi[0, i, j, k] + RB[1, j] * HPhi[1, i, j, k])
Hx[i + xs, yf - (j + 1), k + zs] = Hx[i + xs, yf - (j + 1), k + zs] - updatecoeffsH[material, 4] * ((RA[0, j] * RA[1, j] - 1) * dEz + RA[1, j] * RB[0, j] * HPhi[0, i, j, k] + RB[1, j] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, j] * HPhi[1, i, j, k] - RF[1, j] * (RA[0, j] * dEz + RB[0, j] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, j] * HPhi[0, i, j, k] - RF[0, j] * dEz
cpdef update_pml_2order_hx_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ey, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef update_pml_2order_hx_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ey, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Hx field components in the z stretching direction.
Args:
@@ -423,23 +437,24 @@ cpdef update_pml_2order_hx_zplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i + xs, j + ys, k + zs]
material = ID[3, i + xs, j + ys, k + zs]
dEy = (Ey[i + xs, j + ys, k + 1 + zs] - Ey[i + xs, j + ys, k + zs]) / dz
Hx[i + xs, j + ys, k + zs] = Hx[i + xs, j + ys, k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, k] * RA[1, k] - 1) * dEy + RA[1, k] * RB[0, k] * HPhi[0, i, j, k] + RB[1, k] * HPhi[1, i, j, k])
Hx[i + xs, j + ys, k + zs] = Hx[i + xs, j + ys, k + zs] + updatecoeffsH[material, 4] * ((RA[0, k] * RA[1, k] - 1) * dEy + RA[1, k] * RB[0, k] * HPhi[0, i, j, k] + RB[1, k] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, k] * HPhi[1, i, j, k] - RF[1, k] * (RA[0, k] * dEy + RB[0, k] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, k] * HPhi[0, i, j, k] - RF[0, k] * dEy
cpdef update_pml_2order_hx_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hx, floattype_t[:, :, :] Ey, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef update_pml_2order_hx_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hx, floattype_t[:, :, ::1] Ey, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Hx field components in the z stretching direction.
Args:
@@ -450,18 +465,19 @@ cpdef update_pml_2order_hx_zminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[3, i + xs, j + ys, zf - (k + 1)]
material = ID[3, i + xs, j + ys, zf - (k + 1)]
dEy = (Ey[i + xs, j + ys, zf - k] - Ey[i + xs, j + ys, zf - (k + 1)]) / dz
Hx[i + xs, j + ys, zf - (k + 1)] = Hx[i + xs, j + ys, zf - (k + 1)] + updatecoeffsH[listIndex, 4] * ((RA[0, k] * RA[1, k] - 1) * dEy + RA[1, k] * RB[0, k] * HPhi[0, i, j, k] + RB[1, k] * HPhi[1, i, j, k])
Hx[i + xs, j + ys, zf - (k + 1)] = Hx[i + xs, j + ys, zf - (k + 1)] + updatecoeffsH[material, 4] * ((RA[0, k] * RA[1, k] - 1) * dEy + RA[1, k] * RB[0, k] * HPhi[0, i, j, k] + RB[1, k] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, k] * HPhi[1, i, j, k] - RF[1, k] * (RA[0, k] * dEy + RB[0, k] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, k] * HPhi[0, i, j, k] - RF[0, k] * dEy
@@ -469,7 +485,7 @@ cpdef update_pml_2order_hx_zminus(int xs, int xf, int ys, int yf, int zs, int zf
#############################################
# Magnetic field PML updates - Hy component #
#############################################
cpdef update_pml_2order_hy_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ez, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef update_pml_2order_hy_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ez, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Hy field components in the x stretching direction.
Args:
@@ -480,23 +496,24 @@ cpdef update_pml_2order_hy_xplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[4, i + xs, j + ys, k + zs]
material = ID[4, i + xs, j + ys, k + zs]
dEz = (Ez[i + 1 + xs, j + ys, k + zs] - Ez[i + xs, j + ys, k + zs]) / dx
Hy[i + xs, j + ys, k + zs] = Hy[i + xs, j + ys, k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, i] * RA[1, i] - 1) * dEz + RA[1, i] * RB[0, i] * HPhi[0, i, j, k] + RB[1, i] * HPhi[1, i, j, k])
Hy[i + xs, j + ys, k + zs] = Hy[i + xs, j + ys, k + zs] + updatecoeffsH[material, 4] * ((RA[0, i] * RA[1, i] - 1) * dEz + RA[1, i] * RB[0, i] * HPhi[0, i, j, k] + RB[1, i] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, i] * HPhi[1, i, j, k] - RF[1, i] * (RA[0, i] * dEz + RB[0, i] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, i] * HPhi[0, i, j, k] - RF[0, i] * dEz
cpdef update_pml_2order_hy_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ez, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef update_pml_2order_hy_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ez, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Hy field components in the x stretching direction.
Args:
@@ -507,23 +524,24 @@ cpdef update_pml_2order_hy_xminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEz
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[4, xf - (i + 1), j + ys, k + zs]
material = ID[4, xf - (i + 1), j + ys, k + zs]
dEz = (Ez[xf - i, j + ys, k + zs] - Ez[xf - (i + 1), j + ys, k + zs]) / dx
Hy[xf - (i + 1), j + ys, k + zs] = Hy[xf - (i + 1), j + ys, k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, i] * RA[1, i] - 1) * dEz + RA[1, i] * RB[0, i] * HPhi[0, i, j, k] + RB[1, i] * HPhi[1, i, j, k])
Hy[xf - (i + 1), j + ys, k + zs] = Hy[xf - (i + 1), j + ys, k + zs] + updatecoeffsH[material, 4] * ((RA[0, i] * RA[1, i] - 1) * dEz + RA[1, i] * RB[0, i] * HPhi[0, i, j, k] + RB[1, i] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, i] * HPhi[1, i, j, k] - RF[1, i] * (RA[0, i] * dEz + RB[0, i] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, i] * HPhi[0, i, j, k] - RF[0, i] * dEz
cpdef update_pml_2order_hy_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ex, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef update_pml_2order_hy_zplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ex, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Hy field components in the z stretching direction.
Args:
@@ -534,23 +552,24 @@ cpdef update_pml_2order_hy_zplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[4, i + xs, j + ys, k + zs]
material = ID[4, i + xs, j + ys, k + zs]
dEx = (Ex[i + xs, j + ys, k + 1 + zs] - Ex[i + xs, j + ys, k + zs]) / dz
Hy[i + xs, j + ys, k + zs] = Hy[i + xs, j + ys, k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, k] * RA[1, k] - 1) * dEx + RA[1, k] * RB[0, k] * HPhi[0, i, j, k] + RB[1, k] * HPhi[1, i, j, k])
Hy[i + xs, j + ys, k + zs] = Hy[i + xs, j + ys, k + zs] - updatecoeffsH[material, 4] * ((RA[0, k] * RA[1, k] - 1) * dEx + RA[1, k] * RB[0, k] * HPhi[0, i, j, k] + RB[1, k] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, k] * HPhi[1, i, j, k] - RF[1, k] * (RA[0, k] * dEx + RB[0, k] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, k] * HPhi[0, i, j, k] - RF[0, k] * dEx
cpdef update_pml_2order_hy_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hy, floattype_t[:, :, :] Ex, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dz):
cpdef update_pml_2order_hy_zminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hy, floattype_t[:, :, ::1] Ex, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dz):
"""This function updates the Hy field components in the z stretching direction.
Args:
@@ -561,18 +580,19 @@ cpdef update_pml_2order_hy_zminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[4, i + xs, j + ys, zf - (k + 1)]
material = ID[4, i + xs, j + ys, zf - (k + 1)]
dEx = (Ex[i + xs, j + ys, zf - k] - Ex[i + xs, j + ys, zf - (k + 1)]) / dz
Hy[i + xs, j + ys, zf - (k + 1)] = Hy[i + xs, j + ys, zf - (k + 1)] - updatecoeffsH[listIndex, 4] * ((RA[0, k] * RA[1, k] - 1) * dEx + RA[1, k] * RB[0, k] * HPhi[0, i, j, k] + RB[1, k] * HPhi[1, i, j, k])
Hy[i + xs, j + ys, zf - (k + 1)] = Hy[i + xs, j + ys, zf - (k + 1)] - updatecoeffsH[material, 4] * ((RA[0, k] * RA[1, k] - 1) * dEx + RA[1, k] * RB[0, k] * HPhi[0, i, j, k] + RB[1, k] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, k] * HPhi[1, i, j, k] - RF[1, k] * (RA[0, k] * dEx + RB[0, k] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, k] * HPhi[0, i, j, k] - RF[0, k] * dEx
@@ -580,7 +600,7 @@ cpdef update_pml_2order_hy_zminus(int xs, int xf, int ys, int yf, int zs, int zf
#############################################
# Magnetic field PML updates - Hz component #
#############################################
cpdef update_pml_2order_hz_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ey, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef update_pml_2order_hz_xplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ey, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Hz field components in the x stretching direction.
Args:
@@ -591,23 +611,24 @@ cpdef update_pml_2order_hz_xplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[5, i + xs, j + ys, k + zs]
material = ID[5, i + xs, j + ys, k + zs]
dEy = (Ey[i + 1 + xs, j + ys, k + zs] - Ey[i + xs, j + ys, k + zs]) / dx
Hz[i + xs, j + ys, k + zs] = Hz[i + xs, j + ys, k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, i] * RA[1, i] - 1) * dEy + RA[1, i] * RB[0, i] * HPhi[0, i, j, k] + RB[1, i] * HPhi[1, i, j, k])
Hz[i + xs, j + ys, k + zs] = Hz[i + xs, j + ys, k + zs] - updatecoeffsH[material, 4] * ((RA[0, i] * RA[1, i] - 1) * dEy + RA[1, i] * RB[0, i] * HPhi[0, i, j, k] + RB[1, i] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, i] * HPhi[1, i, j, k] - RF[1, i] * (RA[0, i] * dEy + RB[0, i] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, i] * HPhi[0, i, j, k] - RF[0, i] * dEy
cpdef update_pml_2order_hz_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ey, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dx):
cpdef update_pml_2order_hz_xminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ey, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dx):
"""This function updates the Hz field components in the x stretching direction.
Args:
@@ -618,23 +639,24 @@ cpdef update_pml_2order_hz_xminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEy
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[5, xf - (i + 1), j + ys, k + zs]
material = ID[5, xf - (i + 1), j + ys, k + zs]
dEy = (Ey[xf - i, j + ys, k + zs] - Ey[xf - (i + 1), j + ys, k + zs]) / dx
Hz[xf - (i + 1), j + ys, k + zs] = Hz[xf - (i + 1), j + ys, k + zs] - updatecoeffsH[listIndex, 4] * ((RA[0, i] * RA[1, i] - 1) * dEy + RA[1, i] * RB[0, i] * HPhi[0, i, j, k] + RB[1, i] * HPhi[1, i, j, k])
Hz[xf - (i + 1), j + ys, k + zs] = Hz[xf - (i + 1), j + ys, k + zs] - updatecoeffsH[material, 4] * ((RA[0, i] * RA[1, i] - 1) * dEy + RA[1, i] * RB[0, i] * HPhi[0, i, j, k] + RB[1, i] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, i] * HPhi[1, i, j, k] - RF[1, i] * (RA[0, i] * dEy + RB[0, i] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, i] * HPhi[0, i, j, k] - RF[0, i] * dEy
cpdef update_pml_2order_hz_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ex, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef update_pml_2order_hz_yplus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ex, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Hz field components in the y stretching direction.
Args:
@@ -645,23 +667,24 @@ cpdef update_pml_2order_hz_yplus(int xs, int xf, int ys, int yf, int zs, int zf,
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[5, i + xs, j + ys, k + zs]
material = ID[5, i + xs, j + ys, k + zs]
dEx = (Ex[i + xs, j + 1 + ys, k + zs] - Ex[i + xs, j + ys, k + zs]) / dy
Hz[i + xs, j + ys, k + zs] = Hz[i + xs, j + ys, k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, j] * RA[1, j] - 1) * dEx + RA[1, j] * RB[0, j] * HPhi[0, i, j, k] + RB[1, j] * HPhi[1, i, j, k])
Hz[i + xs, j + ys, k + zs] = Hz[i + xs, j + ys, k + zs] + updatecoeffsH[material, 4] * ((RA[0, j] * RA[1, j] - 1) * dEx + RA[1, j] * RB[0, j] * HPhi[0, i, j, k] + RB[1, j] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, j] * HPhi[1, i, j, k] - RF[1, j] * (RA[0, j] * dEx + RB[0, j] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, j] * HPhi[0, i, j, k] - RF[0, j] * dEx
cpdef update_pml_2order_hz_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, :] updatecoeffsH, np.uint32_t[:, :, :, :] ID, floattype_t[:, :, :] Hz, floattype_t[:, :, :] Ex, floattype_t[:, :, :, :] HPhi, floattype_t[:, :] RA, floattype_t[:, :] RB, floattype_t[:, :] RE, floattype_t[:, :] RF, float dy):
cpdef update_pml_2order_hz_yminus(int xs, int xf, int ys, int yf, int zs, int zf, int nthreads, floattype_t[:, ::1] updatecoeffsH, np.uint32_t[:, :, :, ::1] ID, floattype_t[:, :, ::1] Hz, floattype_t[:, :, ::1] Ex, floattype_t[:, :, :, ::1] HPhi, floattype_t[:, ::1] RA, floattype_t[:, ::1] RB, floattype_t[:, ::1] RE, floattype_t[:, ::1] RF, float dy):
"""This function updates the Hz field components in the y stretching direction.
Args:
@@ -672,18 +695,19 @@ cpdef update_pml_2order_hz_yminus(int xs, int xf, int ys, int yf, int zs, int zf
dx, dy, dz (float): Spatial discretisation
"""
cdef int i, j, k, nx, ny, nz, listIndex
cdef Py_ssize_t i, j, k
cdef int nx, ny, nz, material
cdef float dEx
nx = xf - xs
ny = yf - ys
nz = zf - zs
for i in prange(0, nx, nogil=True, schedule='static', chunksize=1, num_threads=nthreads):
for i in prange(0, nx, nogil=True, schedule='static', num_threads=nthreads):
for j in range(0, ny):
for k in range(0, nz):
listIndex = ID[5, i + xs, yf - (j + 1), k + zs]
material = ID[5, i + xs, yf - (j + 1), k + zs]
dEx = (Ex[i + xs, yf - j, k + zs] - Ex[i + xs, yf - (j + 1), k + zs]) / dy
Hz[i + xs, yf - (j + 1), k + zs] = Hz[i + xs, yf - (j + 1), k + zs] + updatecoeffsH[listIndex, 4] * ((RA[0, j] * RA[1, j] - 1) * dEx + RA[1, j] * RB[0, j] * HPhi[0, i, j, k] + RB[1, j] * HPhi[1, i, j, k])
Hz[i + xs, yf - (j + 1), k + zs] = Hz[i + xs, yf - (j + 1), k + zs] + updatecoeffsH[material, 4] * ((RA[0, j] * RA[1, j] - 1) * dEx + RA[1, j] * RB[0, j] * HPhi[0, i, j, k] + RB[1, j] * HPhi[1, i, j, k])
HPhi[1, i, j, k] = RE[1, j] * HPhi[1, i, j, k] - RF[1, j] * (RA[0, j] * dEx + RB[0, j] * HPhi[0, i, j, k])
HPhi[0, i, j, k] = RE[0, j] * HPhi[0, i, j, k] - RF[0, j] * dEx