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							282 lines
						
					
					
						
							8.9 KiB
						
					
					
				
			
		
		
		
			
			
			
				
					
				
				
					
				
			
		
		
	
	
							282 lines
						
					
					
						
							8.9 KiB
						
					
					
				
								/**
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								  @file
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								  @ingroup cudd
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								  @brief Computation of signatures.
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								  @author Fabio Somenzi
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								  @copyright@parblock
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								  Copyright (c) 1995-2015, Regents of the University of Colorado
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								  All rights reserved.
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								  Redistribution and use in source and binary forms, with or without
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								  modification, are permitted provided that the following conditions
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								  are met:
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								  Redistributions of source code must retain the above copyright
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								  notice, this list of conditions and the following disclaimer.
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								  Redistributions in binary form must reproduce the above copyright
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								  notice, this list of conditions and the following disclaimer in the
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								  documentation and/or other materials provided with the distribution.
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								  Neither the name of the University of Colorado nor the names of its
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								  contributors may be used to endorse or promote products derived from
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								  this software without specific prior written permission.
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								  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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								  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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								  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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								  FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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								  COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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								  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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								  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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								  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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								  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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								  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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								  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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								  POSSIBILITY OF SUCH DAMAGE.
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								  @endparblock
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								*/
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								#include "util.h"
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								#include "cuddInt.h"
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								/*---------------------------------------------------------------------------*/
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								/* Constant declarations                                                     */
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								/*---------------------------------------------------------------------------*/
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								/*---------------------------------------------------------------------------*/
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								/* Stucture declarations                                                     */
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								/*---------------------------------------------------------------------------*/
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								/*---------------------------------------------------------------------------*/
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								/* Type declarations                                                         */
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								/*---------------------------------------------------------------------------*/
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								/*---------------------------------------------------------------------------*/
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								/* Variable declarations                                                     */
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								/*---------------------------------------------------------------------------*/
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								/*---------------------------------------------------------------------------*/
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								/* Macro declarations                                                        */
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								/*---------------------------------------------------------------------------*/
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								/** \cond */
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								/*---------------------------------------------------------------------------*/
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								/* Static function prototypes                                                */
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								/*---------------------------------------------------------------------------*/
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								static double * ddCofMintermAux (DdManager *dd, DdNode *node, st_table *table);
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								/** \endcond */
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								/*---------------------------------------------------------------------------*/
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								/* Definition of exported functions                                          */
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								/*---------------------------------------------------------------------------*/
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								/**
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								  @brief Computes the fraction of minterms in the on-set of all the
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								  positive cofactors of a %BDD or %ADD.
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								  @details The array has as many positions as there are %BDD variables
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								  in the manager plus one. The last position of the array contains the
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								  fraction of the minterms in the ON-set of the function represented
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								  by the %BDD or %ADD. The other positions of the array hold the
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								  variable signatures.
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								  @return the pointer to an array of doubles if successful; NULL
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								  otherwise.
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								  @sideeffect None
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								*/
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								double *
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								Cudd_CofMinterm(
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								  DdManager * dd,
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								  DdNode * node)
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								{
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								    st_table	*table;
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								    double	*values;
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								    double	*result = NULL;
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								    int		i, firstLevel;
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								    int		size;
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								#ifdef DD_STATS
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								    unsigned long startTime;
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								    startTime = util_cpu_time();
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								    dd->num_calls = 0;
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								#endif
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								    table = st_init_table(st_ptrcmp, st_ptrhash);
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								    if (table == NULL) {
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									(void) fprintf(dd->err,
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										       "out-of-memory, couldn't measure DD cofactors.\n");
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									dd->errorCode = CUDD_MEMORY_OUT;
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									return(NULL);
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								    }
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								    size = dd->size;
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								    values = ddCofMintermAux(dd, node, table);
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								    if (values != NULL) {
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									result = ALLOC(double,size + 1);
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									if (result != NULL) {
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									    if (Cudd_IsConstantInt(node))
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										firstLevel = 1;
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									    else
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										firstLevel = cuddI(dd,Cudd_Regular(node)->index);
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									    for (i = 0; i < size; i++) {
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										if (i >= cuddI(dd,Cudd_Regular(node)->index)) {
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										    result[dd->invperm[i]] = values[i - firstLevel];
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										} else {
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										    result[dd->invperm[i]] = values[size - firstLevel];
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										}
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									    }
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									    result[size] = values[size - firstLevel];
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									} else {
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									    dd->errorCode = CUDD_MEMORY_OUT;
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									}
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								    }
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								    if (Cudd_Regular(node)->ref == 1) FREE(values);
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								    st_foreach(table, cuddStCountfree, NULL);
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								    st_free_table(table);
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								#ifdef DD_STATS
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								    (void) fprintf(dd->out,"Number of calls: %d\n", dd->num_calls);
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								    (void) fprintf(dd->out,"Time to compute measures: %s\n",
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										  util_print_time(util_cpu_time() - startTime));
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								#endif
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								    if (result == NULL) {
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									(void) fprintf(dd->out,
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										       "out-of-memory, couldn't measure DD cofactors.\n");
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									dd->errorCode = CUDD_MEMORY_OUT;
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								    }
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								    return(result);
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								} /* end of Cudd_CofMinterm */
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								/*---------------------------------------------------------------------------*/
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								/* Definition of internal functions                                          */
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								/*---------------------------------------------------------------------------*/
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								/*---------------------------------------------------------------------------*/
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								/* Definition of static functions                                            */
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								/*---------------------------------------------------------------------------*/
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								/**
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								  @brief Recursive Step for Cudd_CofMinterm function.
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								  @details Traverses the %DD node and computes the fraction of minterms
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								  in the on-set of all positive cofactors simultaneously.  It
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								  allocates an array with two more entries than there are variables
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								  below the one labeling the node.  One extra entry (the first in the
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								  array) is for the variable labeling the node. The other entry (the
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								  last one in the array) holds the fraction of minterms of the
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								  function rooted at node.  Each other entry holds the value for one
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								  cofactor. The array is put in a symbol table, to avoid repeated
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								  computation, and its address is returned by the procedure, for use
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								  by the caller.
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								  @return a pointer to the array of cofactor measures.
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								  @sideeffect None
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								*/
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								static double *
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								ddCofMintermAux(
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								  DdManager * dd,
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								  DdNode * node,
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								  st_table * table)
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								{
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								    DdNode	*N;		/* regular version of node */
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								    DdNode	*Nv, *Nnv;
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								    double	*values;
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								    double	*valuesT, *valuesE;
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								    int		i;
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								    int		localSize, localSizeT, localSizeE;
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								    double	vT, vE;
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								    int		size = dd->size;
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								    statLine(dd);
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								#ifdef DD_STATS
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								    dd->num_calls++;
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								#endif
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								    if (st_lookup(table, node, (void **) &values)) {
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									return(values);
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								    }
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								    N = Cudd_Regular(node);
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								    if (cuddIsConstant(N)) {
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									localSize = 1;
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								    } else {
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									localSize = size - cuddI(dd,N->index) + 1;
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								    }
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								    values = ALLOC(double, localSize);
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								    if (values == NULL) {
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									dd->errorCode = CUDD_MEMORY_OUT;
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									return(NULL);
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								    }
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								    if (cuddIsConstant(N)) {
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									if (node == DD_ZERO(dd) || node == Cudd_Not(DD_ONE(dd))) {
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									    values[0] = 0.0;
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									} else {
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									    values[0] = 1.0;
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									}
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								    } else {
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									Nv = Cudd_NotCond(cuddT(N),N!=node);
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									Nnv = Cudd_NotCond(cuddE(N),N!=node);
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									valuesT = ddCofMintermAux(dd, Nv, table);
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									if (valuesT == NULL) return(NULL);
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									valuesE = ddCofMintermAux(dd, Nnv, table);
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									if (valuesE == NULL) return(NULL);
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									if (Cudd_IsConstantInt(Nv)) {
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									    localSizeT = 1;
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									} else {
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									    localSizeT = size - cuddI(dd,Cudd_Regular(Nv)->index) + 1;
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									}
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									if (Cudd_IsConstantInt(Nnv)) {
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									    localSizeE = 1;
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									} else {
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									    localSizeE = size - cuddI(dd,Cudd_Regular(Nnv)->index) + 1;
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									}
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									values[0] = valuesT[localSizeT - 1];
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									for (i = 1; i < localSize; i++) {
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									    if (i >= cuddI(dd,Cudd_Regular(Nv)->index) - cuddI(dd,N->index)) {
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										vT = valuesT[i - cuddI(dd,Cudd_Regular(Nv)->index) +
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											    cuddI(dd,N->index)];
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									    } else {
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										vT = valuesT[localSizeT - 1];
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									    }
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									    if (i >= cuddI(dd,Cudd_Regular(Nnv)->index) - cuddI(dd,N->index)) {
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										vE = valuesE[i - cuddI(dd,Cudd_Regular(Nnv)->index) +
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											    cuddI(dd,N->index)];
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									    } else {
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										vE = valuesE[localSizeE - 1];
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									    }
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									    values[i] = (vT + vE) / 2.0;
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									}
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									if (Cudd_Regular(Nv)->ref == 1) FREE(valuesT);
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									if (Cudd_Regular(Nnv)->ref == 1) FREE(valuesE);
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								    }
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								    if (N->ref > 1) {
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									if (st_add_direct(table, node, values) == ST_OUT_OF_MEM) {
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									    FREE(values);
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									    return(NULL);
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									}
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								    }
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								    return(values);
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								} /* end of ddCofMintermAux */
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