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+// $Id: maxsize.cpp 5188 2012-08-30 00:31:31Z dub $
+
+/*
+ Copyright (c) 2007-2012, Trustees of The Leland Stanford Junior University
+ All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without
+ modification, are permitted provided that the following conditions are met:
+
+ Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+ Neither the name of the Stanford University nor the names of its contributors
+ may be used to endorse or promote products derived from this software without
+ specific prior written permission.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+ AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+ LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include "booksim.hpp"
+#include <iostream>
+
+#include "maxsize.hpp"
+
+// shortest augmenting path:
+//
+// for all unmatched left nodes,
+// push node onto work stack
+// end
+//
+// for all j,
+// from[j] = undefined
+// end
+//
+// do,
+//
+// while( !stack.empty ),
+//
+// nl = stack.pop
+// for each edge (nl,j),
+// if ( ( lmatch[nl] != j ) && ( from[j] == undefined ) ),
+// if ( rmatch[j] == undefined ),
+// stop // augmenting path found
+// else
+// from[j] = nl
+// newstack.push( rmatch[j] )
+// end
+// end
+// end
+// end
+//
+// stack = newstack
+// end
+//
+
+//#define DEBUG_MAXSIZE
+//#define PRINT_MATCHING
+
+MaxSizeMatch::MaxSizeMatch( Module *parent, const string& name,
+ int inputs, int outputs ) :
+ DenseAllocator( parent, name, inputs, outputs )
+{
+ _from.resize(outputs);
+ _s = new int [inputs];
+ _ns = new int [inputs];
+ _prio = 0;
+}
+
+MaxSizeMatch::~MaxSizeMatch( )
+{
+ delete [] _s;
+ delete [] _ns;
+}
+
+void MaxSizeMatch::Allocate( )
+{
+
+ // augment as many times as possible
+ // (this is an O(N^3) maximum-size matching algorithm)
+ while( _ShortestAugmenting( ) );
+
+ // next time, start at next input to ensure fairness
+ _prio = (_prio + 1) % _inputs;
+}
+
+
+bool MaxSizeMatch::_ShortestAugmenting( )
+{
+ int i, j, jn;
+ int slen, nslen;
+
+ // start with empty stack
+ slen = 0;
+
+ // push all unassigned inputs to the stack
+ for ( i = 0; i < _inputs; ++i ) {
+ j = (i + _prio) % _inputs;
+ if ( _inmatch[j] == -1 ) { // start with unmatched left nodes
+ _s[slen++] = j;
+ }
+ }
+
+ _from.assign(_inputs, -1);
+
+ for ( int iter = 0; iter < _inputs; iter++ ) {
+ nslen = 0;
+
+ for ( int e = 0; e < slen; ++e ) {
+ i = _s[e];
+
+ for ( j = 0; j < _outputs; ++j ) {
+ if ( ( _request[i][j].label != -1 ) && // edge (i,j) exists
+ ( _inmatch[i] != j ) && // (i,j) is not contained in the current matching
+ ( _from[j] == -1 ) ) { // no shorter path to j exists
+
+ _from[j] = i; // how did we get to j?
+
+#ifdef DEBUG_MAXSIZE
+ cout << " got to " << j << " from " << i << endl;
+#endif
+ if ( _outmatch[j] == -1 ) { // j is unmatched -- augmenting path found
+ goto found_augmenting;
+ } else { // j is matched
+ _ns[nslen] = _outmatch[j]; // add the destination of this edge to the leaf nodes
+ nslen++;
+
+#ifdef DEBUG_MAXSIZE
+ cout << " adding " << _outmatch[j] << endl;
+#endif
+ }
+ }
+ }
+ }
+
+ // no augmenting path found yet, swap stacks
+ int * t = _s;
+ _s = _ns;
+ _ns = t;
+ slen = nslen;
+ }
+
+ return false; // no augmenting paths
+
+ found_augmenting:
+
+ // the augmenting path ends at node j on the right
+
+#ifdef DEBUG_MAXSIZE
+ cout << "Found path: " << j << "c <- ";
+#endif
+
+ i = _from[j];
+ _outmatch[j] = i;
+
+#ifdef DEBUG_MAXSIZE
+ cout << i;
+#endif
+
+ while ( _inmatch[i] != -1 ) { // loop until the end of the path
+ jn = _inmatch[i]; // remove previous edge (i,jn) and add (i,j)
+ _inmatch[i] = j;
+
+#ifdef DEBUG_MAXSIZE
+ cout << " <- " << j << "c <- ";
+#endif
+
+ j = jn; // add edge from (jn,in)
+ i = _from[j];
+ _outmatch[j] = i;
+
+#ifdef DEBUG_MAXSIZE
+ cout << i;
+#endif
+ }
+
+#ifdef DEBUG_MAXSIZE
+ cout << endl;
+#endif
+
+ _inmatch[i] = j;
+
+#ifdef PRINT_MATCHING
+ cout << "left matching: ";
+
+ for ( i = 0; i < _inputs; i++ ) {
+ cout << _inmatch[i] << " ";
+ }
+ cout << endl;
+
+ cout << "right matching: ";
+ for ( i = 0; i < _outputs; i++ ) {
+ cout << _outmatch[i] << " ";
+ }
+ cout << endl;
+#endif
+
+ return true;
+}