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+% -------------------------------------------------------------------------
+% Copyright (c) 2018 AT&T Intellectual Property
+%
+% Licensed under the Apache License, Version 2.0 (the "License");
+% you may not use this file except in compliance with the License.
+% You may obtain a copy of the License at
+%
+% http://www.apache.org/licenses/LICENSE-2.0
+%
+% Unless required by applicable law or agreed to in writing, software
+% distributed under the License is distributed on an "AS IS" BASIS,
+% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+% See the License for the specific language governing permissions and
+% limitations under the License.
+%
+% -------------------------------------------------------------------------
+%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Parameters and its assertions
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% Number of cells/radios.
+int: NUM_NODES;
+
+% Maximum number of Physical Cell Identifiers to be assigned to the nodes.
+int: NUM_PCIS;
+
+% Number of edges between neighbor nodes. There is a edge (i,j) if and only
+% if nodes i and j are neighbors, i.e., an user equipment (UE) can make
+% handoff between i and j. Such edges are used to avoid **COLLISIONS**, i.e.,
+% to guarantee that nodes i and j have different PCIs.
+int: NUM_NEIGHBORS;
+
+% Each line represents an edge between direct neighbors as defined before.
+array[1..NUM_NEIGHBORS, 1..2] of int: NEIGHBORS;
+
+% Number of undirect neighbor pairs (j, k) such that both j and k are direct
+% neighbors of node i, i.e., (j, k) exits if and only if exists (i, j) and
+% (i, k). Nodes (i, k) can generate "confunsions" in the network if they have
+% the same PCI. Such edges are used to avoid/minimize **CONFUSIONS**.
+int: NUM_SECOND_LEVEL_NEIGHBORS;
+
+% Each line represents an edge between undirect neighbors as defined before.
+array[1..NUM_SECOND_LEVEL_NEIGHBORS, 1..2] of int: SECOND_LEVEL_NEIGHBORS;
+
+% ids of cells for which the pci should remain unchanged
+set of int: PCI_UNCHANGEABLE_CELLS;
+
+% This array has the original pcis of all the cells. array is indexed by the ids
+% of the cell. eg. ORIGINAL_PCIS[3] returns the pci of cell whose id is 3.
+% ids start from 0
+% array[0..NUM_NODES-1] of 0..NUM_PCIS-1: ORIGINAL_PCIS;
+array[1..NUM_NODES] of 0..NUM_PCIS-1: ORIGINAL_PCIS;
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Decision variables
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% Defines the PCI for each node.
+array[0..NUM_NODES-1] of var 0..NUM_PCIS-1: pci;
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Constraints
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+constraint
+if(length(PCI_UNCHANGEABLE_CELLS) !=0) then
+forall(i in PCI_UNCHANGEABLE_CELLS)(
+ pci[i] == ORIGINAL_PCIS[i+1]
+)
+endif;
+
+
+% Direct neighbors must have different PCIs for avoid **COLLISION**.
+constraint
+forall(i in 1..NUM_NEIGHBORS)(
+ pci[NEIGHBORS[i, 1]] != pci[NEIGHBORS[i, 2]]
+);
+
+% Undirect neighbors must have different PCIs for avoid **CONFUSIONS**.
+constraint
+forall(i in 1..NUM_SECOND_LEVEL_NEIGHBORS)(
+ pci[SECOND_LEVEL_NEIGHBORS[i, 1]] != pci[SECOND_LEVEL_NEIGHBORS[i, 2]]
+);
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Objective function
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+% Just satisfy the problem.
+solve :: int_search(pci, smallest, indomain_min, complete) satisfy;
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Output
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+output
+["node,pci\n"] ++
+[
+ show(node) ++ "," ++ show(pci[node]) ++ "\n"
+| node in 0..NUM_NODES-1
+]