# Copyright (c) 2014-2018 Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
# Copyright (c) 2014-2018 Centre national de la recherche scientifique (CNRS)
# Copyright (c) 2018-2020 Simons Foundation
#
# This program 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.
#
# This program 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 may obtain a copy of the License at
# https:#www.gnu.org/licenses/gpl-3.0.txt
#
# Authors: Michel Ferrero, Olivier Parcollet, Nils Wentzell
r""" """
import numpy
from math import *
from .lazy_expressions import LazyExprTerminal, LazyExpr, transform
[docs]
class LazyCTX:
[docs]
def __init__ (self, G):
self.G = G
def _is_compatible_for_ops(self, g):
m1,m2 = self.G.mesh, g.mesh
return m1 is m2 or m1 == m2
def __eq__ (self, y):
return isinstance(y, self.__class__) and self._is_compatible_for_ops(y.G)
def __call__ (self, x):
if not isinstance(x, descriptor_base.Base): return x
tmp = self.G.copy()
x(tmp)
return tmp
[docs]
def is_lazy(y):
return isinstance(y,(Omega_, LazyExpr, LazyExprTerminal))
[docs]
def is_scalar(x):
return type(x) in [ type(1), type(1.0), type(1j), numpy.ndarray, int, numpy.int_, numpy.int8, numpy.int16, numpy.int32, float, numpy.float_, numpy.float32, numpy.float64, complex, numpy.complex_, numpy.complex64, numpy.complex128 ]
[docs]
def convert_scalar_to_const(expr):
# if the expression is a pure scalar, replace it by Const
t = expr.get_terminal()
if is_scalar(t): return LazyExpr( Const(t) )
# otherwise: replace all scalar appearing in +/- operations by Const
def act (tag, childs):
if tag in ["+", "-"]:
for n,c in enumerate(childs):
t = c.get_terminal()
if is_scalar(t): childs[n] = Const (t)
return (tag,childs)
return transform(expr, act)
[docs]
class Base (LazyExprTerminal):
[docs]
def __init__(self,**kargs):
self.__dict__.update(kargs)
# The Base for any descriptor taking a BlockGf
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class BaseBlock(Base):
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def __init__ (self, G, *args, **kw):
Base.__init__(self, G = G)
if self.is_block_descriptor():
self.descriptor_iter = (self.__class__(g, *args, **kw) for i,g in G)
[docs]
def is_block_descriptor(self):
return self.G.__class__.__name__ == 'BlockGf'
def __iter__ (self):
return self.descriptor_iter
#########################################################################
[docs]
class Function (Base):
r"""
Stores a python function
If the Green's function is defined on an array of points :math:`x_i`, then it will be initialized to :math:`F(x_i)`.
"""
[docs]
def __init__ (self, function):
r"""
:param function: the function :math:`\omega \rightarrow function(\omega)`
"""
Base.__init__(self, function=function)
def __call__(self,G):
if not(callable(self.function)): raise RuntimeError("GFInitializer.Function: f must be callable")
res = G.data[...]
try:
for n,om in enumerate(G.mesh): res[n,...] = self.function(om.value)
except:
print("The given function has a problem...")
raise
return G
#########################################################################
[docs]
class Const(Base):
[docs]
def __init__ (self, C):
Base.__init__(self, C=C)
def __call__(self,G):
C = self.C
if G.mesh.__class__.__name__ not in ['MeshImFreq', 'MeshReFreq']:
raise TypeError("This initializer is only correct in frequency")
if not isinstance(C,numpy.ndarray) and G.target_rank > 0:
assert G.target_shape[0]==G.target_shape[1], "Const only applies to square G"
C = C*numpy.identity(G.target_shape[0])
if G.target_rank > 0 and C.shape != (G.target_shape[0],G.target_shape[1]): raise RuntimeError("Size of constant incorrect")
Function(lambda om: C)(G)
return G
#########################################################################
[docs]
class Omega_(Base):
r"""The function:math:`\omega \rightarrow \omega` """
def __str__(self): return "Omega"
def __call__(self,G):
if G.mesh.__class__.__name__ not in ['MeshImFreq', 'MeshReFreq']:
raise TypeError("This initializer is only correct in frequency")
Id = 1. if G.target_rank == 0 else numpy.identity(G.target_shape[0])
for n,om in enumerate(G.mesh): G.data[n,...] = om*Id
return G
##########################################################################
Omega = Omega_()
iOmega_n = Omega_()
##########################################################################