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"Some utilities for working with index tuples."

# Copyright (C) 2008-2013 Martin Sandve Alnes
#
# This file is part of UFL.
#
# UFL is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# UFL 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 Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with UFL. If not, see <http://www.gnu.org/licenses/>.
#
# First added:  2008-03-14
# Last changed: 2011-06-02

from collections import defaultdict
from ufl.indexing import Index

#--- Utility functions ---

def complete_shape(shape, default_dim):
    "Complete shape tuple by replacing non-integers with a default dimension."
    return tuple((s if isinstance(s, int) else default_dim) for s in shape)

def unique_indices(indices):
    """Return a tuple of all indices from input, with
    no single index occuring more than once in output."""
    s = set()
    newindices = []
    for i in indices:
        if isinstance(i, Index):
            if not i in s:
                s.add(i)
                newindices.append(i)
    return tuple(newindices)

def repeated_indices(indices):
    "Return tuple of indices occuring more than once in input."
    ri = []
    s = set()
    for i in indices:
        if isinstance(i, Index):
            if i in s:
                ri.append(i)
            else:
                s.add(i)
    return tuple(ri)

def shared_indices(ai, bi):
    "Return a tuple of indices occuring in both index tuples ai and bi."
    bis = set(bi)
    return tuple(i for i in unique_indices(ai) if i in bis)

def single_indices(indices):
    "Return a tuple of all indices occuring exactly once in input."
    count = defaultdict(int)
    for i in indices:
        count[i] += 1
    return tuple(i for i in unique_indices(indices) if count[i] == 1)