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""" |
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Author(s): Matthew Loper |
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See LICENCE.txt for licensing and contact information. |
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""" |
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from .ch import Ch |
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import numpy as np |
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from .utils import row, col |
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import scipy.sparse as sp |
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import weakref |
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__all__ = ['sort', 'tile', 'repeat', 'transpose', 'rollaxis', 'swapaxes', 'reshape', 'Select', |
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'atleast_1d', 'atleast_2d', 'atleast_3d', 'squeeze', 'expand_dims', 'fliplr', 'flipud', |
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'concatenate', 'vstack', 'hstack', 'dstack', 'ravel', 'diag', 'diagflat', 'roll', 'rot90'] |
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class Permute(Ch): |
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pass |
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def ravel(a, order='C'): |
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assert(order=='C') |
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if isinstance (a, np.ndarray): |
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self = Ch(a) |
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return reshape(a=a, newshape=(-1,)) |
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class Reorder(Permute): |
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dterms = 'a', |
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def on_changed(self, which): |
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if not hasattr(self, 'dr_lookup'): |
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self.dr_lookup = {} |
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def compute_r(self): |
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return self.reorder(self.a.r) |
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def compute_dr_wrt(self, wrt): |
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if wrt is self.a: |
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if False: |
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from scipy.sparse.linalg.interface import LinearOperator |
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return LinearOperator((self.size, wrt.size), lambda x : self.reorder(x.reshape(self.a.shape)).ravel()) |
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else: |
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a = self.a |
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asz = a.size |
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ashape = a.shape |
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key = self.unique_reorder_id() |
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if key not in self.dr_lookup or key is None: |
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JS = self.reorder(np.arange(asz).reshape(ashape)) |
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IS = np.arange(JS.size) |
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data = np.ones_like(IS) |
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shape = JS.shape |
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self.dr_lookup[key] = sp.csc_matrix((data, (IS, JS.ravel())), shape=(self.r.size, wrt.r.size)) |
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return self.dr_lookup[key] |
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class Sort(Reorder): |
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dterms = 'a' |
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terms = 'axis', 'kind', 'order' |
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def reorder(self, a): return np.sort(a, self.axis, self.kind, self.order) |
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def unique_reorder_id(self): return None |
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def sort(a, axis=-1, kind='quicksort', order=None): |
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return Sort(a=a, axis=axis, kind=kind, order=order) |
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class Tile(Reorder): |
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dterms = 'a', |
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terms = 'reps', |
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term_order = 'a', 'reps' |
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def reorder(self, a): return np.tile(a, self.reps) |
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def unique_reorder_id(self): return (self.a.shape, tuple(self.reps)) |
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def tile(A, reps): |
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return Tile(a=A, reps=reps) |
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class Diag(Reorder): |
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dterms = 'a', |
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terms = 'k', |
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def reorder(self, a): return np.diag(a, self.k) |
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def unique_reorder_id(self): return (self.a.shape, self.k) |
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def diag(v, k=0): |
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return Diag(a=v, k=k) |
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class DiagFlat(Reorder): |
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dterms = 'a', |
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terms = 'k', |
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def reorder(self, a): return np.diagflat(a, self.k) |
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def unique_reorder_id(self): return (self.a.shape, self.k) |
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def diagflat(v, k=0): |
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return DiagFlat(a=v, k=k) |
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class Repeat(Reorder): |
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dterms = 'a', |
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terms = 'repeats', 'axis' |
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def reorder(self, a): return np.repeat(a, self.repeats, self.axis) |
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def unique_reorder_id(self): return (self.repeats, self.axis) |
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def repeat(a, repeats, axis=None): |
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return Repeat(a=a, repeats=repeats, axis=axis) |
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class transpose(Reorder): |
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dterms = 'a' |
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terms = 'axes' |
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term_order = 'a', 'axes' |
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def reorder(self, a): return np.require(np.transpose(a, axes=self.axes), requirements='C') |
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def unique_reorder_id(self): return (self.a.shape, None if self.axes is None else tuple(self.axes)) |
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def on_changed(self, which): |
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if not hasattr(self, 'axes'): |
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self.axes = None |
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super(self.__class__, self).on_changed(which) |
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class rollaxis(Reorder): |
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dterms = 'a' |
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terms = 'axis', 'start' |
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term_order = 'a', 'axis', 'start' |
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def reorder(self, a): return np.rollaxis(a, axis=self.axis, start=self.start) |
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def unique_reorder_id(self): return (self.a.shape, self.axis, self.start) |
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def on_changed(self, which): |
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if not hasattr(self, 'start'): |
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self.start = 0 |
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super(self.__class__, self).on_changed(which) |
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class swapaxes(Reorder): |
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dterms = 'a' |
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terms = 'axis1', 'axis2' |
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term_order = 'a', 'axis1', 'axis2' |
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def reorder(self, a): return np.swapaxes(a, axis1=self.axis1, axis2=self.axis2) |
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def unique_reorder_id(self): return (self.a.shape, self.axis1, self.axis2) |
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class Roll(Reorder): |
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dterms = 'a', |
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terms = 'shift', 'axis' |
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term_order = 'a', 'shift', 'axis' |
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def reorder(self, a): return np.roll(a, self.shift, self.axis) |
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def unique_reorder_id(self): return (self.shift, self.axis) |
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def roll(a, shift, axis=None): |
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return Roll(a, shift, axis) |
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class Rot90(Reorder): |
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dterms = 'a', |
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terms = 'k', |
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def reorder(self, a): return np.rot90(a, self.k) |
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def unique_reorder_id(self): return (self.a.shape, self.k) |
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def rot90(m, k=1): |
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return Rot90(a=m, k=k) |
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class Reshape(Permute): |
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dterms = 'a', |
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terms = 'newshape', |
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term_order= 'a', 'newshape' |
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def compute_r(self): |
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return self.a.r.reshape(self.newshape) |
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def compute_dr_wrt(self, wrt): |
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if wrt is self.a: |
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return sp.eye(self.a.size, self.a.size) |
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def reshape(a, newshape): |
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while isinstance(a, Reshape): |
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a = a.a |
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return Reshape(a=a, newshape=newshape) |
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class Select(Permute): |
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terms = ['idxs', 'preferred_shape'] |
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dterms = ['a'] |
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term_order = 'a', 'idxs', 'preferred_shape' |
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def compute_r(self): |
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result = self.a.r.ravel()[self.idxs].copy() |
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if hasattr(self, 'preferred_shape'): |
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return result.reshape(self.preferred_shape) |
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else: |
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return result |
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def compute_dr_wrt(self, obj): |
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if obj is self.a: |
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if not hasattr(self, '_dr_cached'): |
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IS = np.arange(len(self.idxs)) |
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JS = self.idxs.ravel() |
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ij = np.vstack((row(IS), row(JS))) |
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data = np.ones(len(self.idxs)) |
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self._dr_cached = sp.csc_matrix((data, ij), shape=(len(self.idxs), np.prod(self.a.shape))) |
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return self._dr_cached |
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def on_changed(self, which): |
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if hasattr(self, '_dr_cached'): |
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if 'idxs' in which or self.a.r.size != self._dr_cached.shape[1]: |
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del self._dr_cached |
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class AtleastNd(Ch): |
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dterms = 'x' |
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terms = 'ndims' |
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def compute_r(self): |
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xr = self.x.r |
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if self.ndims == 1: |
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target_shape = np.atleast_1d(xr).shape |
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elif self.ndims == 2: |
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target_shape = np.atleast_2d(xr).shape |
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elif self.ndims == 3: |
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target_shape = np.atleast_3d(xr).shape |
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else: |
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raise Exception('Need ndims to be 1, 2, or 3.') |
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return xr.reshape(target_shape) |
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def compute_dr_wrt(self, wrt): |
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if wrt is self.x: |
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return 1 |
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def atleast_nd(ndims, *arys): |
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arys = [AtleastNd(x=ary, ndims=ndims) for ary in arys] |
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return arys if len(arys) > 1 else arys[0] |
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def atleast_1d(*arys): |
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return atleast_nd(1, *arys) |
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def atleast_2d(*arys): |
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return atleast_nd(2, *arys) |
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def atleast_3d(*arys): |
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return atleast_nd(3, *arys) |
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def squeeze(a, axis=None): |
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if isinstance(a, np.ndarray): |
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return np.squeeze(a, axis) |
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shape = np.squeeze(a.r, axis).shape |
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return a.reshape(shape) |
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def expand_dims(a, axis): |
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if isinstance(a, np.ndarray): |
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return np.expand_dims(a, axis) |
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shape = np.expand_dims(a.r, axis).shape |
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return a.reshape(shape) |
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def fliplr(m): |
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return m[:,::-1] |
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def flipud(m): |
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return m[::-1,...] |
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class Concatenate(Ch): |
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def on_changed(self, which): |
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if not hasattr(self, 'dr_cached'): |
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self.dr_cached = weakref.WeakKeyDictionary() |
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@property |
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def our_terms(self): |
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if not hasattr(self, '_our_terms'): |
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self._our_terms = [getattr(self, s) for s in self.dterms] |
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return self._our_terms |
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def __getstate__(self): |
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if hasattr(self, 'dr_cached'): |
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del self.dr_cached |
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return super(self.__class__, self).__getstate__() |
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def compute_r(self): |
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return np.concatenate([t.r for t in self.our_terms], axis=self.axis) |
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@property |
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def everything(self): |
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if not hasattr(self, '_everything'): |
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self._everything = np.arange(self.r.size).reshape(self.r.shape) |
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self._everything = np.swapaxes(self._everything, self.axis, 0) |
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return self._everything |
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def compute_dr_wrt(self, wrt): |
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if not hasattr(self, 'dr_cached'): |
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self.dr_cached = weakref.WeakKeyDictionary() |
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if wrt in self.dr_cached and self.dr_cached[wrt] is not None: |
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return self.dr_cached[wrt] |
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if wrt not in self.our_terms: |
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return |
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_JS = np.arange(wrt.size) |
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_data = np.ones(wrt.size) |
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IS = [] |
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JS = [] |
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data = [] |
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offset = 0 |
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for term in self.our_terms: |
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tsz = term.shape[self.axis] |
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if term is wrt: |
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JS += [_JS] |
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data += [_data] |
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IS += [np.swapaxes(self.everything[offset:offset+tsz], self.axis, 0).ravel()] |
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offset += tsz |
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IS = np.concatenate(IS).ravel() |
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JS = np.concatenate(JS).ravel() |
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data = np.concatenate(data) |
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res = sp.csc_matrix((data, (IS, JS)), shape=(self.r.size, wrt.size)) |
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if len(list(self._parents.keys())) != 1: |
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self.dr_cached[wrt] = res |
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else: |
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self.dr_cached[wrt] = None |
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return res |
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def expand_concatenates(mtxs, axis=0): |
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mtxs = list(mtxs) |
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done = [] |
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while len(mtxs) > 0: |
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mtx = mtxs.pop(0) |
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if isinstance(mtx, Concatenate) and mtx.axis == axis: |
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mtxs = [getattr(mtx, s) for s in mtx.dterms] + mtxs |
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else: |
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done.append(mtx) |
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return done |
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def concatenate(mtxs, axis=0, **kwargs): |
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mtxs = expand_concatenates(mtxs, axis) |
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result = Concatenate(**kwargs) |
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result.dterms = [] |
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for i, mtx in enumerate(mtxs): |
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result.dterms.append('m%d' % (i,)) |
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setattr(result, result.dterms[-1], mtx) |
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result.axis = axis |
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return result |
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def hstack(mtxs, **kwargs): |
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return concatenate(mtxs, axis=1, **kwargs) |
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def vstack(mtxs, **kwargs): |
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return concatenate([atleast_2d(m) for m in mtxs], axis=0, **kwargs) |
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def dstack(mtxs, **kwargs): |
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return concatenate([atleast_3d(m) for m in mtxs], axis=2, **kwargs) |
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