mirror of
https://github.com/triqs/dft_tools
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404 lines
15 KiB
Python
404 lines
15 KiB
Python
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################################################################################
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#
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# TRIQS: a Toolbox for Research in Interacting Quantum Systems
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#
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# Copyright (C) 2011-2012 by M. Ferrero, O. Parcollet
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#
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# TRIQS is free software: you can redistribute it and/or modify it under the
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# terms of the GNU General Public License as published by the Free Software
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# Foundation, either version 3 of the License, or (at your option) any later
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# version.
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#
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# TRIQS is distributed in the hope that it will be useful, but WITHOUT ANY
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# WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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# FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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# details.
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#
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# You should have received a copy of the GNU General Public License along with
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# TRIQS. If not, see <http://www.gnu.org/licenses/>.
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#
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################################################################################
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import numpy
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import lazy_expressions, descriptors
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from gf import MeshImFreq
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from pytriqs.plot.protocol import clip_array
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from types import IntType, SliceType, StringType
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from tools import LazyCTX, IndicesConverter, get_indices_in_dict, py_deserialize
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from impl_plot import PlotWrapperPartialReduce
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from nothing import Nothing
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from gf import TailGf
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from matrix_stack import MatrixStack
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import copy_reg
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from nothing import Nothing
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def builder_cls_with_dict_arg(cls, args): return cls(**args)
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def reductor(x):
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return (builder_cls_with_dict_arg, (x._derived, x.__reduce_to_dict__()) )
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class GfGeneric:
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def __init__(self, mesh, data, singularity, symmetry, indices_pack, name, derived):
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self._mesh = mesh
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self._data = data
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self._singularity = singularity
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self._symmetry = symmetry
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self._indices_pack = indices_pack
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self.name = name
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self._derived = derived
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self.indicesR, self.indicesL = indices_pack
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copy_reg.pickle(derived, reductor, builder_cls_with_dict_arg )
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@property
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def mesh(self): return self._mesh
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@property
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def tail(self): return self._singularity
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@tail.setter
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def tail(self, t):
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if type(t) == TailGf:
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assert (self.N1, self.N2) == (t.N1, t.N2)
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self._singularity.copy_from (t)
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elif type(t) == Nothing:
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self._singularity = Nothing()
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else:
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raise RuntimeError, "invalid rhs for tail assignment"
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@property
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def data(self): return self._data
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@data.setter
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def data (self, value): self._data[:,:,:] = value
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@property
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def indices(self):
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assert (self.indicesR == self.indicesL), "right and left indices are different"
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return self.indicesR
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@property
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def N1(self): return self._data.shape[1]
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@property
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def N2(self): return self._data.shape[2]
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#--------------------- h5 and reduction ------------------------------------------
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def __reduce_to_dict__(self):
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return {'mesh': self._mesh, 'data': self._data,
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'tail': self._singularity, 'symmetry': self._symmetry,
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'indices_pack': self._indices_pack, 'name': self.name }
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def __write_hdf5__ (self, gr, key):
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self.__write_hdf5_cython__(gr, key)
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gr[key].create_group('indices')
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gr[key]['indices']['left'] = self.indicesL
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gr[key]['indices']['right'] = self.indicesR
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#gr[key]['name'] = self.name
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#--------------------- copies ------------------------------------------
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def copy(self):
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return self._derived(indices_pack = self._indices_pack, mesh = self._mesh,
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data = self._data.copy(), tail = self._singularity.copy(),
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name = self.name)
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def copy_from(self, X):
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assert self._derived is X._derived
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assert self.mesh == X.mesh
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self.data = X.data
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self.tail = X.tail
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#assert list(self._indices)== list(X._indices)
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self._symmetry = X._symmetry
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self.name = X.name
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#--------------------- [ ] operator ------------------------------------------
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def __getitem__(self, key):
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"""Key is a tuple of index (n1, n2) as defined at construction"""
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if len(key) !=2: raise KeyError, "[ ] must be given two arguments"
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sl1, sl2 = key
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if type(sl1) == StringType and type(sl2) == StringType:
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# Convert the indices to integer
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indices_converter = [ IndicesConverter(self.indicesL), IndicesConverter(self.indicesR)]
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sl1, sl2 = [ indices_converter[i].convertToNumpyIndex(k) for i, k in enumerate(key) ]
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if type (sl1) != slice: sl1 = slice (sl1, sl1+1)
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if type (sl2) != slice: sl2 = slice (sl2, sl2+1)
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return self.__class__(indicesL = list(self.indicesL)[sl1],
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indicesR = list(self.indicesR)[sl2],
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name = self.name,
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mesh = self.mesh,
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data = self.data[:,sl1,sl2],
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tail = self.tail._make_slice(sl1, sl2))
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def __setitem__(self, key, val):
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g = self.__getitem__(key)
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g <<= val
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#------------- Iteration ------------------------------------
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def __iter__(self):
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for i in self.indicesL:
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for j in self.indicesR:
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b =self[i, j]
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b.name = "%s_%s_%s"%(self.name if hasattr(self, 'name') else '', i, j)
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yield i, j, b
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#---------------- Repr, str ---------------------------------
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def __str__(self):
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return self.name if self.name else repr(self)
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def __repr__(self):
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return """%s %s: indicesL = %s, indicesR = %s"""%(self.__class__.__name__, self.name,
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[x for x in self.indicesL], [x for x in self.indicesR])
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#-------------- PLOT ---------------------------------------
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@property
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def real(self):
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"""Use self.real in a plot to plot only the real part"""
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return PlotWrapperPartialReduce(self, RI='R')
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@property
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def imag(self):
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"""Use self.imag in a plot to plot only the imag part"""
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return PlotWrapperPartialReduce(self, RI='I')
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#------------------
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def x_data_view(self, x_window = None, flatten_y = False):
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"""
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:param x_window: the window of x variable (omega/omega_n/t/tau) for which data is requested
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if None, take the full window
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:param flatten_y: If the Green function is of size (1, 1) flatten the array as a 1d array
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:rtype: a tuple (X, data) where
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* X is a 1d numpy of the x variable inside the window requested
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* data is a 3d numpy array of dim (:,:, len(X)), the corresponding slice of data
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If flatten_y is True and dim is (1, 1, *), returns a 1d numpy
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"""
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X = [x.imag for x in self.mesh] if type(self.mesh) == MeshImFreq else [x for x in self.mesh]
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X, data = numpy.array(X), self.data
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if x_window:
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sl = clip_array (X, *x_window) if x_window else slice(len(X)) # the slice due to clip option x_window
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X, data = X[sl], data[sl,:,:]
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if flatten_y and data.shape[1:3]==(1, 1): data = data[:,0,0]
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return X, data
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#-------- LAZY expression system -----------------------------------------
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def __lazy_expr_eval_context__(self):
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return LazyCTX(self)
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def __eq__(self, other):
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raise RuntimeError, " Operator not defined "
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def __ilshift__(self, A):
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""" A can be two things:
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* G <<= any_init will init the GFBloc with the initializer
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* G <<= g2 where g2 is a GFBloc will copy g2 into self
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"""
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if isinstance(A, self.__class__):
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if self is not A: self.copy_from(A) # otherwise it is useless AND does not work !!
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elif isinstance(A, lazy_expressions.LazyExpr): # A is a lazy_expression made of GF, scalars, descriptors
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A2= descriptors.convert_scalar_to_const(A)
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def e_t (x):
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if not isinstance(x, descriptors.Base): return x
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tmp = self.copy()
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x(tmp)
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return tmp
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self.copy_from (lazy_expressions.eval_expr_with_context(e_t, A2) )
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elif isinstance(A, lazy_expressions.LazyExprTerminal): #e.g. g<<= SemiCircular (...)
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self <<= lazy_expressions.LazyExpr(A)
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elif descriptors.is_scalar(A): #in the case it is a scalar ....
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self <<= lazy_expressions.LazyExpr(A)
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else:
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raise RuntimeError, " <<= operator: RHS not understood"
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return self
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#-------------------- Arithmetic operations ---------------------------------
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def __add_iadd_impl (self, lhs, arg, is_add):
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d, t, rhs = lhs.data, lhs.tail,None
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if type(lhs) == type(arg):
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d[:,:,:] += arg.data
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t += arg.tail
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elif isinstance(arg, numpy.ndarray): # an array considered as a constant function
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MatrixStack(lhs.data).add(arg)
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rhs = arg
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elif descriptors.is_scalar(arg): # just a scalar
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arg = arg*numpy.identity(lhs.N1,dtype = lhs.data.dtype )
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MatrixStack(lhs.data).add(arg)
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assert lhs.tail.shape[0] == lhs.tail.shape[1], "tail + scalar only valid in diagonal case"
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rhs = numpy.identity(lhs.tail.shape[0]) *arg
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else:
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raise RuntimeError, " argument type not recognized in += for %s"%arg
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if rhs !=None :
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new_tail = TailGf(shape=lhs.tail.shape, size=lhs.tail.size, order_min=min(0,lhs.tail.order_min))
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new_tail[0][:,:] = rhs
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# if it is add, then we CAN change the shape of the tail, and
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# reassign it since it is a new object, just create (then use the
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# _singularity object.
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# otherwise we can not, since it could be view, so we use the tail
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# and if shape is not correct, = i.e. copy_from will raise an error
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if is_add : lhs._singularity = lhs.tail + new_tail
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else : lhs.tail = lhs.tail + new_tail
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return lhs
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def __iadd__(self, arg):
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return self.__add_iadd_impl(self,arg,False)
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def __add__(self, y):
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if descriptors.is_lazy(y): return lazy_expressions.make_lazy(self) + y
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c = self.copy()
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return self.__add_iadd_impl(c,y,True)
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def __radd__(self, y): return self.__add__(y)
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def __sub_isub_impl (self, lhs, arg, is_sub):
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d, t, rhs = lhs.data, lhs.tail,None
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if type(lhs) == type(arg):
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d[:,:,:] -= arg.data
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t -= arg.tail
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elif isinstance(arg, numpy.ndarray): # an array considered as a constant function
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MatrixStack(lhs.data).sub(arg)
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rhs = arg
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elif descriptors.is_scalar(arg): # just a scalar
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arg = arg*numpy.identity(lhs.N1,dtype = lhs.data.dtype )
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MatrixStack(lhs.data).sub(arg)
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assert lhs.tail.shape[0] == lhs.tail.shape[1], "tail - scalar only valid in diagonal case"
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rhs = numpy.identity(lhs.tail.shape[0]) *arg
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else:
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raise RuntimeError, " argument type not recognized in -= for %s"%arg
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if rhs !=None :
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new_tail = TailGf(shape=lhs.tail.shape, size=lhs.tail.size, order_min=min(0,lhs.tail.order_min))
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new_tail[0][:,:] = rhs
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if is_sub : lhs._singularity = lhs.tail - new_tail
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else : lhs.tail = lhs.tail - new_tail
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return lhs
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def __isub__(self, arg):
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return self.__sub_isub_impl(self,arg,False)
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def __sub__(self, y):
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if descriptors.is_lazy(y): return lazy_expressions.make_lazy(self) - y
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c = self.copy()
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return self.__sub_isub_impl(c,y,True)
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def __rsub__(self, y):
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c = (-1)*self.copy()
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return c + y # very important to use the as +, cf above, _singularity vs tail
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def __imul__(self, arg):
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if type(self) == type(arg):
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d, d2 = self.data, arg.data
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assert d.shape == d2.shape, " Green function block multiplication with arrays of different size !"
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for om in range (d.shape[0]):
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d[om,:,:] = numpy.dot(d[om,:,:], d2[om,:,:])
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self.tail = self.tail * arg.tail
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elif descriptors.is_scalar(arg):
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self.data *= arg
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self.tail *= arg
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else:
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raise RuntimeError, " argument type not recognized in *= for %s"%arg
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return self
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def __mul__(self, arg):
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if descriptors.is_lazy(arg):
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return lazy_expressions.make_lazy(self) * arg
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else:
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res = self.copy()
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res *= arg
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return res
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def __rmul__(self, arg):
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if descriptors.is_lazy(arg):
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return arg * lazy_expressions.make_lazy(self)
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elif descriptors.is_scalar(arg):
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return self.__mul__(arg)
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def from_L_G_R(self, L, G, R):
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N1 = self.data.shape[1]
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N2 = self.data.shape[2]
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assert L.shape[0] == N1
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assert L.shape[1] == G.data.shape[1]
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assert R.shape[0] == G.data.shape[2]
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assert R.shape[1] == N2
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MatrixStack(self.data).matmul_L_R(L, G.data, R)
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# this might be a bit slow
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t = TailGf(shape=(N1,N2), size=G.tail.order_max-G.tail.order_min+1, order_min=G.tail.order_min)
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for o in range(t.order_min, t.order_max+1):
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t[o] = numpy.dot(L, numpy.dot(G.tail[o], R))
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self.tail = t
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def __idiv__(self, arg):
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""" If arg is a scalar, simple scalar multiplication
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"""
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if descriptors.is_lazy(arg): return lazy_expressions.make_lazy(self) / arg
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if descriptors.is_scalar(arg):
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self.data /= arg
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self.tail /= arg
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else:
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raise RuntimeError, " argument type not recognized in imul for %s"%arg
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return self
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def __div__(self, arg):
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assert descriptors.is_scalar(arg), "Error in /"
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res = self.copy()
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res /= arg
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return res
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#---------------------------------------------------
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def zero(self):
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self <<= 0.0
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#---------------------------------------------------
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def invert(self):
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"""Invert the matrix for all arguments"""
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MatrixStack(self.data).invert()
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self.tail.invert()
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#---------------------------------------------------
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def transpose(self):
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"""Transposes the GF Bloc: return a new transposed view"""
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### WARNING: this depends on the C++ layering ....
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return self.__class__(
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indices = list(self.indices),
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mesh = self.mesh,
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data = self.data.transpose( (0, 2, 1) ),
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tail = self.tail.transpose(),
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name = self.name+'(t)')
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#---------------------------------------------------
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def conjugate(self):
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"""Complex conjugate of the GF Bloc. It follow the policy of numpy and
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make a copy only if the Green function is complex valued"""
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return self.__class__(
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indices = list(self.indices),
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mesh = self.mesh,
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data = self.data.conjugate(),
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tail = self.tail.conjugate(),
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name = self.name+'*')
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#------------------ Density -----------------------------------
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def total_density(self):
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"""Trace density"""
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return numpy.trace(self.density())
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