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Commit 2181ae58 authored by Neel Shah's avatar Neel Shah
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renamed new operator as MatrixProductOperator

parent b3dffa01
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src/operators/general_matrix_product.py deleted 100644 → 0
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import numpy as np
from .. import utilities
from ..domain_tuple import DomainTuple
from ..field import Field
from ..domains.rg_space import RGSpace
from .linear_operator import LinearOperator
class GeneralMatrixProduct(LinearOperator):
"""Matrix multiplication with input field.
This operator supports scipy.sparse matrices and numpy arrays
as the matrix to be applied.
For numpy array matrices, can apply the matrix over a subspace
of the input.
If the input arrays have more than one dimension, for
scipy.sparse matrices the `flatten` keyword argument must be
set to true. This means that the input field will be flattened
before applying the matrix and reshaped to its original shape
afterwards. Flattening is only supported when the domain and target
are the same, and a target can't be specified if flatten=True'
Matrices are tested regarding their compatibility with the
called for application method.
Flattening and subspace application are mutually exclusive.
The target space type and distances can be specified. If
unspecified, it defaults to an RGSpace with default distance
convention. Either a single domain or a DomainTuple of the valid
shape can be set as the target.
When applied to specific subspaces of the domain, the
non-participating subspaces of the domain retain their positions
in the target space. The order of other axes in the target space is
the matrix's axes in their original order. This convention matches
with the endomorphic MatrixProductOperator.
Parameters
----------
domain: :class:`Domain` or :class:`DomainTuple`
Domain of the operator.
If :class:`Domain` it is assumed to have only one subspace.
matrix: scipy.sparse matrix or numpy array
Quadratic matrix of shape `(domain.shape, domain.shape)`
(if `not flatten`) that supports `matrix.transpose()`.
If it is not a numpy array, needs to be applicable to the val
array of input fields by `matrix.dot()`.
spaces: int or tuple of int, optional
The subdomain(s) of "domain" which the operator acts on.
If None, it acts on all elements.
Only possible for numpy array matrices.
If `len(domain) > 1` and `flatten=False`, this parameter is
mandatory.
flatten: boolean, optional
Whether the input value array should be flattened before
applying the matrix and reshaped to its original shape
afterwards.
Needed for scipy.sparse matrices if `len(domain) > 1`.
target: :class:`Domain` or :class:`DomainTuple`, optional
Target of the operator. It must be of the valid shape, other
parameters like domain type and distances are flexible. The
default is an RGSpace with default distances convention.
"""
def __init__(self, domain, matrix, spaces=None, flatten=False, target=None):
self._capability = self.TIMES | self.ADJOINT_TIMES
self._domain = DomainTuple.make(domain)
mat_dim = len(matrix.shape)
domain_shape = domain.shape
domain_dim = len(domain_shape)
# take shortcut for trivial case
if spaces is not None:
if len(self._domain.shape) == 1 and spaces == (0, ):
spaces = None
if spaces is None:
self._spaces = None
self._active_axes = utilities.my_sum(self._domain.axes)
self._inactive_axes = ()
if flatten:
domain_shape = (utilities.my_product(domain_shape), )
target_space_shape = domain_shape
target_dim = len(target_space_shape)
mat_inactive_axes_dim = mat_dim - len(domain_shape)
if mat_inactive_axes_dim < 0:
raise ValueError("Domain has more dimensions than matrix.")
target_space_shape = matrix.shape[:mat_inactive_axes_dim]
target_dim = mat_inactive_axes_dim
else:
if flatten:
raise ValueError(
"Cannot flatten input AND apply to a subspace")
if not isinstance(matrix, np.ndarray):
raise ValueError(
"Application to subspaces only supported for numpy array matrices."
)
self._spaces = utilities.parse_spaces(spaces, len(self._domain))
active_axes = []
self._inactive_axes = list(range(len(self._domain)))
domain_shape = []
for space_idx in spaces:
domain_shape += self._domain[space_idx].shape
active_axes += self._domain.axes[space_idx]
if space_idx in self._inactive_axes:
self._inactive_axes.remove(space_idx)
domain_shape = tuple(domain_shape)
self._active_axes = tuple(active_axes)
self._inactive_axes = tuple(self._inactive_axes)
mat_inactive_axes_dim = mat_dim - len(domain_shape)
if mat_inactive_axes_dim < 0:
raise ValueError("Domain has more dimensions than matrix.")
target_dim = mat_inactive_axes_dim + len(self._inactive_axes)
domain_dim = len(domain_shape)
target_space_shape = []
matrix_shape_idx = 0
for i in range(target_dim):
if i in tuple(self._inactive_axes):
for j in range(len(self._domain[i].shape)):
target_space_shape.append(self._domain[i].shape[j])
else:
target_space_shape.append(matrix.shape[matrix_shape_idx])
matrix_shape_idx +=1
target_space_shape = tuple(target_space_shape)
self._mat_last_n = tuple([-domain_dim + i for i in range(domain_dim)])
self._mat_first_n = np.arange(domain_dim)
self._target_last_n = tuple([-len(self._inactive_axes) + i for
i in range(len(self._inactive_axes))])
# mat_last_m is needed for adjoint application even if spaces=None
self._mat_last_m = tuple([-mat_inactive_axes_dim + i for i in
range(mat_inactive_axes_dim)])
self._target_axes = tuple(range(len(target_space_shape)))
if spaces != None:
self._field_axes = list(self._target_axes)
for i in list(self._target_axes):
if i in self._inactive_axes:
self._field_axes.remove(i)
self._field_axes = tuple(self._field_axes)
if target == None:
if flatten:
self._target = self._domain
else:
if target_dim != 0:
default_target = DomainTuple.make(RGSpace(shape=target_space_shape))
else:
default_target = DomainTuple.make(None)
self._target = default_target
elif flatten:
raise ValueError("Flattening is supported only for endomorphic application,"
+ " and you can't specify a target.")
elif target.shape == target_space_shape:
self._target = DomainTuple.make(target)
else:
raise ValueError(f"Target space has invalid shape.\n"
+"Its shape should be {target_space_shape}.")
matrix_appl_shape = matrix.shape[mat_inactive_axes_dim:]
if matrix_appl_shape != domain_shape:
raise ValueError("Matrix doesn't fit with the domain.\n" +
f"Shape of matrix axes used in summation: {matrix_appl_shape},\n " +
f"Shape of domain axes used in summation: {domain_shape}.")
self._mat = matrix
self._mat_tr = matrix.transpose().conjugate()
self._flatten = flatten
def apply(self, x, mode):
self._check_input(x, mode)
times = (mode == self.TIMES)
m = self._mat if times else self._mat_tr
target = self._target if times else self._domain
if self._spaces is None:
if not self._flatten:
if times:
res = np.tensordot(m, x.val, axes=len(x.domain.shape))
else:
mat_axes = np.flip(self._mat_last_m)
field_axes = self._target_axes
res = np.tensordot(m, x.val, axes=(mat_axes, field_axes))
res = res.transpose()
else:
res = m.dot(x.val.flatten()).reshape(self._domain.shape)
return Field(target, res)
if times:
mat_axes = self._mat_last_n
move_axes = self._target_last_n
res = np.tensordot(m, x.val, axes=(mat_axes, self._active_axes))
res = np.moveaxis(res, move_axes, self._inactive_axes)
else:
mat_axes = np.flip(self._mat_last_m)
move_axes = np.flip(self._mat_first_n)
field_axes = self._field_axes
res = np.tensordot(m, x.val, axes=(mat_axes, field_axes))
res = np.moveaxis(res, move_axes, self._active_axes)
return Field(target, res)
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