clarify that rotation
is a circular shift (rename to shift_circ
)
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@ -32,7 +32,7 @@ import numpy # type: ignore
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import scipy.sparse as sparse # type: ignore
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from ..fdmath import vec, dx_lists_t, vfdfield_t
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from ..fdmath.operators import shift_with_mirror, rotation, curl_forward, curl_back
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from ..fdmath.operators import shift_with_mirror, shift_circ, curl_forward, curl_back
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__author__ = 'Jan Petykiewicz'
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@ -316,7 +316,7 @@ def poynting_e_cross(e: vfdfield_t, dxes: dx_lists_t) -> sparse.spmatrix:
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"""
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shape = [len(dx) for dx in dxes[0]]
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fx, fy, fz = [rotation(i, shape, 1) for i in range(3)]
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fx, fy, fz = [shift_circ(i, shape, 1) for i in range(3)]
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dxag = [dx.ravel(order='C') for dx in numpy.meshgrid(*dxes[0], indexing='ij')]
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Ex, Ey, Ez = [ei * da for ei, da in zip(numpy.split(e, 3), dxag)]
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@ -343,7 +343,7 @@ def poynting_h_cross(h: vfdfield_t, dxes: dx_lists_t) -> sparse.spmatrix:
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"""
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shape = [len(dx) for dx in dxes[0]]
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fx, fy, fz = [rotation(i, shape, 1) for i in range(3)]
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fx, fy, fz = [shift_circ(i, shape, 1) for i in range(3)]
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dxag = [dx.ravel(order='C') for dx in numpy.meshgrid(*dxes[0], indexing='ij')]
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dxbg = [dx.ravel(order='C') for dx in numpy.meshgrid(*dxes[1], indexing='ij')]
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@ -417,7 +417,7 @@ def e_boundary_source(mask: vfdfield_t,
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jmask = numpy.zeros_like(mask, dtype=bool)
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def shift_rot(axis: int, polarity: int) -> sparse.spmatrix:
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return rotation(axis=axis, shape=shape, shift_distance=polarity)
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return shift_circ(axis=axis, shape=shape, shift_distance=polarity)
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def shift_mir(axis: int, polarity: int) -> sparse.spmatrix:
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return shift_with_mirror(axis=axis, shape=shape, shift_distance=polarity)
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@ -10,7 +10,7 @@ import scipy.sparse as sparse # type: ignore
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from .types import vfdfield_t
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def rotation(axis: int, shape: Sequence[int], shift_distance: int = 1) -> sparse.spmatrix:
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def shift_circ(axis: int, shape: Sequence[int], shift_distance: int = 1) -> sparse.spmatrix:
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"""
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Utility operator for performing a circular shift along a specified axis by a
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specified number of elements.
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@ -104,7 +104,7 @@ def deriv_forward(dx_e: Sequence[numpy.ndarray]) -> List[sparse.spmatrix]:
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dx_e_expanded = numpy.meshgrid(*dx_e, indexing='ij')
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def deriv(axis: int) -> sparse.spmatrix:
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return rotation(axis, shape, 1) - sparse.eye(n)
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return shift_circ(axis, shape, 1) - sparse.eye(n)
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Ds = [sparse.diags(+1 / dx.ravel(order='C')) @ deriv(a)
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for a, dx in enumerate(dx_e_expanded)]
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@ -129,7 +129,7 @@ def deriv_back(dx_h: Sequence[numpy.ndarray]) -> List[sparse.spmatrix]:
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dx_h_expanded = numpy.meshgrid(*dx_h, indexing='ij')
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def deriv(axis: int) -> sparse.spmatrix:
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return rotation(axis, shape, -1) - sparse.eye(n)
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return shift_circ(axis, shape, -1) - sparse.eye(n)
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Ds = [sparse.diags(-1 / dx.ravel(order='C')) @ deriv(a)
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for a, dx in enumerate(dx_h_expanded)]
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@ -186,7 +186,7 @@ def avg_forward(axis: int, shape: Sequence[int]) -> sparse.spmatrix:
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raise Exception('Invalid shape: {}'.format(shape))
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n = numpy.prod(shape)
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return 0.5 * (sparse.eye(n) + rotation(axis, shape))
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return 0.5 * (sparse.eye(n) + shift_circ(axis, shape))
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def avg_back(axis: int, shape: Sequence[int]) -> sparse.spmatrix:
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