""" Author(s): Matthew Loper See LICENCE.txt for licensing and contact information. """ from .ch import Ch import numpy as np from .utils import row, col import scipy.sparse as sp import weakref __all__ = ['sort', 'tile', 'repeat', 'transpose', 'rollaxis', 'swapaxes', 'reshape', 'Select', 'atleast_1d', 'atleast_2d', 'atleast_3d', 'squeeze', 'expand_dims', 'fliplr', 'flipud', 'concatenate', 'vstack', 'hstack', 'dstack', 'ravel', 'diag', 'diagflat', 'roll', 'rot90'] # Classes deriving from "Permute" promise to only reorder/reshape class Permute(Ch): pass def ravel(a, order='C'): assert(order=='C') if isinstance (a, np.ndarray): self = Ch(a) return reshape(a=a, newshape=(-1,)) class Reorder(Permute): dterms = 'a', def on_changed(self, which): if not hasattr(self, 'dr_lookup'): self.dr_lookup = {} def compute_r(self): return self.reorder(self.a.r) def compute_dr_wrt(self, wrt): if wrt is self.a: if False: from scipy.sparse.linalg.interface import LinearOperator return LinearOperator((self.size, wrt.size), lambda x : self.reorder(x.reshape(self.a.shape)).ravel()) else: a = self.a asz = a.size ashape = a.shape key = self.unique_reorder_id() if key not in self.dr_lookup or key is None: JS = self.reorder(np.arange(asz).reshape(ashape)) IS = np.arange(JS.size) data = np.ones_like(IS) shape = JS.shape self.dr_lookup[key] = sp.csc_matrix((data, (IS, JS.ravel())), shape=(self.r.size, wrt.r.size)) return self.dr_lookup[key] class Sort(Reorder): dterms = 'a' terms = 'axis', 'kind', 'order' def reorder(self, a): return np.sort(a, self.axis, self.kind, self.order) def unique_reorder_id(self): return None def sort(a, axis=-1, kind='quicksort', order=None): return Sort(a=a, axis=axis, kind=kind, order=order) class Tile(Reorder): dterms = 'a', terms = 'reps', term_order = 'a', 'reps' def reorder(self, a): return np.tile(a, self.reps) def unique_reorder_id(self): return (self.a.shape, tuple(self.reps)) def tile(A, reps): return Tile(a=A, reps=reps) class Diag(Reorder): dterms = 'a', terms = 'k', def reorder(self, a): return np.diag(a, self.k) def unique_reorder_id(self): return (self.a.shape, self.k) def diag(v, k=0): return Diag(a=v, k=k) class DiagFlat(Reorder): dterms = 'a', terms = 'k', def reorder(self, a): return np.diagflat(a, self.k) def unique_reorder_id(self): return (self.a.shape, self.k) def diagflat(v, k=0): return DiagFlat(a=v, k=k) class Repeat(Reorder): dterms = 'a', terms = 'repeats', 'axis' def reorder(self, a): return np.repeat(a, self.repeats, self.axis) def unique_reorder_id(self): return (self.repeats, self.axis) def repeat(a, repeats, axis=None): return Repeat(a=a, repeats=repeats, axis=axis) class transpose(Reorder): dterms = 'a' terms = 'axes' term_order = 'a', 'axes' def reorder(self, a): return np.require(np.transpose(a, axes=self.axes), requirements='C') def unique_reorder_id(self): return (self.a.shape, None if self.axes is None else tuple(self.axes)) def on_changed(self, which): if not hasattr(self, 'axes'): self.axes = None super(self.__class__, self).on_changed(which) class rollaxis(Reorder): dterms = 'a' terms = 'axis', 'start' term_order = 'a', 'axis', 'start' def reorder(self, a): return np.rollaxis(a, axis=self.axis, start=self.start) def unique_reorder_id(self): return (self.a.shape, self.axis, self.start) def on_changed(self, which): if not hasattr(self, 'start'): self.start = 0 super(self.__class__, self).on_changed(which) class swapaxes(Reorder): dterms = 'a' terms = 'axis1', 'axis2' term_order = 'a', 'axis1', 'axis2' def reorder(self, a): return np.swapaxes(a, axis1=self.axis1, axis2=self.axis2) def unique_reorder_id(self): return (self.a.shape, self.axis1, self.axis2) class Roll(Reorder): dterms = 'a', terms = 'shift', 'axis' term_order = 'a', 'shift', 'axis' def reorder(self, a): return np.roll(a, self.shift, self.axis) def unique_reorder_id(self): return (self.shift, self.axis) def roll(a, shift, axis=None): return Roll(a, shift, axis) class Rot90(Reorder): dterms = 'a', terms = 'k', def reorder(self, a): return np.rot90(a, self.k) def unique_reorder_id(self): return (self.a.shape, self.k) def rot90(m, k=1): return Rot90(a=m, k=k) class Reshape(Permute): dterms = 'a', terms = 'newshape', term_order= 'a', 'newshape' def compute_r(self): return self.a.r.reshape(self.newshape) def compute_dr_wrt(self, wrt): if wrt is self.a: return sp.eye(self.a.size, self.a.size) #return self.a.dr_wrt(wrt) # def reshape(a, newshape): # if isinstance(a, Reshape) and a.newshape == newshape: # return a # return Reshape(a=a, newshape=newshape) def reshape(a, newshape): while isinstance(a, Reshape): a = a.a return Reshape(a=a, newshape=newshape) # class And(Ch): # dterms = 'x1', 'x2' # # def compute_r(self): # if True: # needs_work = [self.x1, self.x2] # done = [] # while len(needs_work) > 0: # todo = needs_work.pop() # if isinstance(todo, And): # needs_work += [todo.x1, todo.x2] # else: # done = [todo] + done # return np.concatenate([d.r.ravel() for d in done]) # else: # return np.concatenate((self.x1.r.ravel(), self.x2.r.ravel())) # # # This is only here for reverse mode to work. # # Most of the time, the overridden dr_wrt is callpath gets used. # def compute_dr_wrt(self, wrt): # # if wrt is not self.x1 and wrt is not self.x2: # return # # input_len = wrt.r.size # x1_len = self.x1.r.size # x2_len = self.x2.r.size # # mtxs = [] # if wrt is self.x1: # mtxs.append(sp.spdiags(np.ones(x1_len), 0, x1_len, x1_len)) # else: # mtxs.append(sp.csc_matrix((x1_len, input_len))) # # if wrt is self.x2: # mtxs.append(sp.spdiags(np.ones(x2_len), 0, x2_len, x2_len)) # else: # mtxs.append(sp.csc_matrix((x2_len, input_len))) # # # if any([sp.issparse(mtx) for mtx in mtxs]): # result = sp.vstack(mtxs, format='csc') # else: # result = np.vstack(mtxs) # # return result # # def dr_wrt(self, wrt, want_stacks=False, reverse_mode=False): # self._call_on_changed() # # input_len = wrt.r.size # x1_len = self.x1.r.size # x2_len = self.x2.r.size # # mtxs = [] # if wrt is self.x1: # mtxs.append(sp.spdiags(np.ones(x1_len), 0, x1_len, x1_len)) # else: # if isinstance(self.x1, And): # tmp_mtxs = self.x1.dr_wrt(wrt, want_stacks=True, reverse_mode=reverse_mode) # for mtx in tmp_mtxs: # mtxs.append(mtx) # else: # mtxs.append(self.x1.dr_wrt(wrt, reverse_mode=reverse_mode)) # if mtxs[-1] is None: # mtxs[-1] = sp.csc_matrix((x1_len, input_len)) # # if wrt is self.x2: # mtxs.append(sp.spdiags(np.ones(x2_len), 0, x2_len, x2_len)) # else: # if isinstance(self.x2, And): # tmp_mtxs = self.x2.dr_wrt(wrt, want_stacks=True, reverse_mode=reverse_mode) # for mtx in tmp_mtxs: # mtxs.append(mtx) # else: # mtxs.append(self.x2.dr_wrt(wrt, reverse_mode=reverse_mode)) # if mtxs[-1] is None: # mtxs[-1] = sp.csc_matrix((x2_len, input_len)) # # if want_stacks: # return mtxs # else: # if any([sp.issparse(mtx) for mtx in mtxs]): # result = sp.vstack(mtxs, format='csc') # else: # result = np.vstack(mtxs) # # return result class Select(Permute): terms = ['idxs', 'preferred_shape'] dterms = ['a'] term_order = 'a', 'idxs', 'preferred_shape' def compute_r(self): result = self.a.r.ravel()[self.idxs].copy() if hasattr(self, 'preferred_shape'): return result.reshape(self.preferred_shape) else: return result def compute_dr_wrt(self, obj): if obj is self.a: if not hasattr(self, '_dr_cached'): IS = np.arange(len(self.idxs)) JS = self.idxs.ravel() ij = np.vstack((row(IS), row(JS))) data = np.ones(len(self.idxs)) self._dr_cached = sp.csc_matrix((data, ij), shape=(len(self.idxs), np.prod(self.a.shape))) return self._dr_cached def on_changed(self, which): if hasattr(self, '_dr_cached'): if 'idxs' in which or self.a.r.size != self._dr_cached.shape[1]: del self._dr_cached class AtleastNd(Ch): dterms = 'x' terms = 'ndims' def compute_r(self): xr = self.x.r if self.ndims == 1: target_shape = np.atleast_1d(xr).shape elif self.ndims == 2: target_shape = np.atleast_2d(xr).shape elif self.ndims == 3: target_shape = np.atleast_3d(xr).shape else: raise Exception('Need ndims to be 1, 2, or 3.') return xr.reshape(target_shape) def compute_dr_wrt(self, wrt): if wrt is self.x: return 1 def atleast_nd(ndims, *arys): arys = [AtleastNd(x=ary, ndims=ndims) for ary in arys] return arys if len(arys) > 1 else arys[0] def atleast_1d(*arys): return atleast_nd(1, *arys) def atleast_2d(*arys): return atleast_nd(2, *arys) def atleast_3d(*arys): return atleast_nd(3, *arys) def squeeze(a, axis=None): if isinstance(a, np.ndarray): return np.squeeze(a, axis) shape = np.squeeze(a.r, axis).shape return a.reshape(shape) def expand_dims(a, axis): if isinstance(a, np.ndarray): return np.expand_dims(a, axis) shape = np.expand_dims(a.r, axis).shape return a.reshape(shape) def fliplr(m): return m[:,::-1] def flipud(m): return m[::-1,...] class Concatenate(Ch): def on_changed(self, which): if not hasattr(self, 'dr_cached'): self.dr_cached = weakref.WeakKeyDictionary() @property def our_terms(self): if not hasattr(self, '_our_terms'): self._our_terms = [getattr(self, s) for s in self.dterms] return self._our_terms def __getstate__(self): # Have to get rid of WeakKeyDictionaries for serialization if hasattr(self, 'dr_cached'): del self.dr_cached return super(self.__class__, self).__getstate__() def compute_r(self): return np.concatenate([t.r for t in self.our_terms], axis=self.axis) @property def everything(self): if not hasattr(self, '_everything'): self._everything = np.arange(self.r.size).reshape(self.r.shape) self._everything = np.swapaxes(self._everything, self.axis, 0) return self._everything def compute_dr_wrt(self, wrt): if not hasattr(self, 'dr_cached'): self.dr_cached = weakref.WeakKeyDictionary() if wrt in self.dr_cached and self.dr_cached[wrt] is not None: return self.dr_cached[wrt] if wrt not in self.our_terms: return _JS = np.arange(wrt.size) _data = np.ones(wrt.size) IS = [] JS = [] data = [] offset = 0 for term in self.our_terms: tsz = term.shape[self.axis] if term is wrt: JS += [_JS] data += [_data] IS += [np.swapaxes(self.everything[offset:offset+tsz], self.axis, 0).ravel()] offset += tsz IS = np.concatenate(IS).ravel() JS = np.concatenate(JS).ravel() data = np.concatenate(data) res = sp.csc_matrix((data, (IS, JS)), shape=(self.r.size, wrt.size)) if len(list(self._parents.keys())) != 1: self.dr_cached[wrt] = res else: self.dr_cached[wrt] = None return res def expand_concatenates(mtxs, axis=0): mtxs = list(mtxs) done = [] while len(mtxs) > 0: mtx = mtxs.pop(0) if isinstance(mtx, Concatenate) and mtx.axis == axis: mtxs = [getattr(mtx, s) for s in mtx.dterms] + mtxs else: done.append(mtx) return done def concatenate(mtxs, axis=0, **kwargs): mtxs = expand_concatenates(mtxs, axis) result = Concatenate(**kwargs) result.dterms = [] for i, mtx in enumerate(mtxs): result.dterms.append('m%d' % (i,)) setattr(result, result.dterms[-1], mtx) result.axis = axis return result def hstack(mtxs, **kwargs): return concatenate(mtxs, axis=1, **kwargs) def vstack(mtxs, **kwargs): return concatenate([atleast_2d(m) for m in mtxs], axis=0, **kwargs) def dstack(mtxs, **kwargs): return concatenate([atleast_3d(m) for m in mtxs], axis=2, **kwargs)