################################################################################ # # TRIQS: a Toolbox for Research in Interacting Quantum Systems # # Copyright (C) 2011-2012 by M. Ferrero, O. Parcollet # # TRIQS is free software: you can redistribute it and/or modify it under the # terms of the GNU General Public License as published by the Free Software # Foundation, either version 3 of the License, or (at your option) any later # version. # # TRIQS is distributed in the hope that it will be useful, but WITHOUT ANY # WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS # FOR A PARTICULAR PURPOSE. See the GNU General Public License for more # details. # # You should have received a copy of the GNU General Public License along with # TRIQS. If not, see . # ################################################################################ import numpy import lazy_expressions, descriptor_base #from gf import MeshImFreq from types import IntType, SliceType, StringType from tools import LazyCTX #, IndicesConverter, get_indices_in_dict, py_deserialize from _gf_plot import PlotWrapperPartialReduce #from gf import TailGf #--------------------- [ ] operator ------------------------------------------ def __getitem__(self, key): """Key is a tuple of index (n1, n2) as defined at construction""" if len(key) !=2: raise KeyError, "[ ] must be given two arguments" sl1, sl2 = key if type(sl1) == StringType and type(sl2) == StringType: # Convert the indices to integer indices_converter = [ IndicesConverter(self.indicesL), IndicesConverter(self.indicesR)] sl1, sl2 = [ indices_converter[i].convertToNumpyIndex(k) for i, k in enumerate(key) ] if type (sl1) != slice: sl1 = slice (sl1, sl1+1) if type (sl2) != slice: sl2 = slice (sl2, sl2+1) return self.__class__(indicesL = list(self.indicesL)[sl1], indicesR = list(self.indicesR)[sl2], name = self.name, mesh = self.mesh, data = self.data[:,sl1,sl2], tail = self.tail._make_slice(sl1, sl2)) def __setitem__(self, key, val): g = self.__getitem__(key) g <<= val #-------------- PLOT --------------------------------------- def _real_plot(self): """Use self.real in a plot to plot only the real part""" return PlotWrapperPartialReduce(self, RI='R') def _imag_plot(self): """Use self.imag in a plot to plot only the imag part""" return PlotWrapperPartialReduce(self, RI='I') #-------- LAZY expression system ----------------------------------------- def add_precall (self, y): if descriptor_base.is_lazy(y): return lazy_expressions.make_lazy(self) + y def sub_precall (self, y): if descriptor_base.is_lazy(y): return lazy_expressions.make_lazy(self) - y def mul_precall (self, y): if descriptor_base.is_lazy(y): return lazy_expressions.make_lazy(self) * y def div_precall (self, y): if descriptor_base.is_lazy(y): return lazy_expressions.make_lazy(self) / y def _ilshift_(self, A): """ A can be two things: * G <<= any_init will init the GFBloc with the initializer * G <<= g2 where g2 is a GFBloc will copy g2 into self """ import descriptors if isinstance(A, self.__class__): if self is not A: self.copy_from(A) # otherwise it is useless AND does not work !! elif isinstance(A, lazy_expressions.LazyExpr): # A is a lazy_expression made of GF, scalars, descriptors A2= descriptors.convert_scalar_to_const(A) def e_t (x): if not isinstance(x, descriptors.Base): return x tmp = self.copy() x(tmp) return tmp self.copy_from (lazy_expressions.eval_expr_with_context(e_t, A2) ) elif isinstance(A, lazy_expressions.LazyExprTerminal): #e.g. g<<= SemiCircular (...) self <<= lazy_expressions.LazyExpr(A) elif descriptors.is_scalar(A): #in the case it is a scalar .... self <<= lazy_expressions.LazyExpr(A) else: raise RuntimeError, " <<= operator: RHS not understood" return self #--------------------------------------------------- def from_L_G_R(self, L, G, R): N1 = self.data.shape[1] N2 = self.data.shape[2] assert L.shape[0] == N1 assert L.shape[1] == G.data.shape[1] assert R.shape[0] == G.data.shape[2] assert R.shape[1] == N2 MatrixStack(self.data).matmul_L_R(L, G.data, R) # this might be a bit slow for o in range(G.tail.order_min, G.tail.order_max+1): self.tail[o] = numpy.dot(L, numpy.dot(G.tail[o], R)) self.tail.mask.fill(G.tail.order_max) #--------------------------------------------------- def invert(self): """Invert the matrix for all arguments""" MatrixStack(self.data).invert() self.tail.invert() #--------------------------------------------------- # FIXME NEVER USED CLEAN UP #def transpose(self): # """Transposes the GF Bloc: return a new transposed view""" # ### WARNING: this depends on the C++ layering .... # return self.__class__( # indices = list(self.indices), # mesh = self.mesh, # data = self.data.transpose( (0, 2, 1) ), # tail = self.tail.transpose(), # name = self.name+'(t)') #--------------------------------------------------- def conjugate(self): """Complex conjugate of the GF Bloc. It follow the policy of numpy and make a copy only if the Green function is complex valued""" return self.__class__( indices = list(self.indices), mesh = self.mesh, data = self.data.conjugate(), tail = self.tail.conjugate(), name = self.name+'*') #------------------ Density ----------------------------------- def total_density(self): """Trace density""" return numpy.trace(self.density())