[13] | 1 | /**CFile*********************************************************************** |
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| 2 | |
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| 3 | FileName [cuddWindow.c] |
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| 4 | |
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| 5 | PackageName [cudd] |
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| 6 | |
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| 7 | Synopsis [Functions for variable reordering by window permutation.] |
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| 8 | |
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| 9 | Description [Internal procedures included in this module: |
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| 10 | <ul> |
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| 11 | <li> cuddWindowReorder() |
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| 12 | </ul> |
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| 13 | Static procedures included in this module: |
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| 14 | <ul> |
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| 15 | <li> ddWindow2() |
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| 16 | <li> ddWindowConv2() |
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| 17 | <li> ddPermuteWindow3() |
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| 18 | <li> ddWindow3() |
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| 19 | <li> ddWindowConv3() |
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| 20 | <li> ddPermuteWindow4() |
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| 21 | <li> ddWindow4() |
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| 22 | <li> ddWindowConv4() |
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| 23 | </ul>] |
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| 24 | |
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| 25 | Author [Fabio Somenzi] |
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| 26 | |
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| 27 | Copyright [Copyright (c) 1995-2004, Regents of the University of Colorado |
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| 28 | |
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| 29 | All rights reserved. |
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| 30 | |
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| 31 | Redistribution and use in source and binary forms, with or without |
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| 32 | modification, are permitted provided that the following conditions |
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| 33 | are met: |
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| 34 | |
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| 35 | Redistributions of source code must retain the above copyright |
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| 36 | notice, this list of conditions and the following disclaimer. |
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| 37 | |
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| 38 | Redistributions in binary form must reproduce the above copyright |
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| 39 | notice, this list of conditions and the following disclaimer in the |
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| 40 | documentation and/or other materials provided with the distribution. |
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| 41 | |
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| 42 | Neither the name of the University of Colorado nor the names of its |
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| 43 | contributors may be used to endorse or promote products derived from |
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| 44 | this software without specific prior written permission. |
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| 45 | |
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| 46 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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| 47 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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| 48 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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| 49 | FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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| 50 | COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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| 51 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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| 52 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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| 53 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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| 54 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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| 55 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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| 56 | ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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| 57 | POSSIBILITY OF SUCH DAMAGE.] |
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| 58 | |
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| 59 | ******************************************************************************/ |
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| 60 | |
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| 61 | #include "util.h" |
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| 62 | #include "cuddInt.h" |
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| 63 | |
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| 64 | /*---------------------------------------------------------------------------*/ |
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| 65 | /* Constant declarations */ |
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| 66 | /*---------------------------------------------------------------------------*/ |
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| 67 | |
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| 68 | |
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| 69 | /*---------------------------------------------------------------------------*/ |
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| 70 | /* Stucture declarations */ |
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| 71 | /*---------------------------------------------------------------------------*/ |
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| 72 | |
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| 73 | |
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| 74 | /*---------------------------------------------------------------------------*/ |
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| 75 | /* Type declarations */ |
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| 76 | /*---------------------------------------------------------------------------*/ |
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| 77 | |
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| 78 | |
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| 79 | /*---------------------------------------------------------------------------*/ |
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| 80 | /* Variable declarations */ |
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| 81 | /*---------------------------------------------------------------------------*/ |
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| 82 | |
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| 83 | #ifndef lint |
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| 84 | static char rcsid[] DD_UNUSED = "$Id: cuddWindow.c,v 1.14 2009/02/20 02:14:58 fabio Exp $"; |
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| 85 | #endif |
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| 86 | |
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| 87 | #ifdef DD_STATS |
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| 88 | extern int ddTotalNumberSwapping; |
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| 89 | extern int ddTotalNISwaps; |
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| 90 | #endif |
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| 91 | |
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| 92 | /*---------------------------------------------------------------------------*/ |
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| 93 | /* Macro declarations */ |
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| 94 | /*---------------------------------------------------------------------------*/ |
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| 95 | |
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| 96 | |
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| 97 | /**AutomaticStart*************************************************************/ |
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| 98 | |
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| 99 | /*---------------------------------------------------------------------------*/ |
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| 100 | /* Static function prototypes */ |
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| 101 | /*---------------------------------------------------------------------------*/ |
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| 102 | |
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| 103 | static int ddWindow2 (DdManager *table, int low, int high); |
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| 104 | static int ddWindowConv2 (DdManager *table, int low, int high); |
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| 105 | static int ddPermuteWindow3 (DdManager *table, int x); |
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| 106 | static int ddWindow3 (DdManager *table, int low, int high); |
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| 107 | static int ddWindowConv3 (DdManager *table, int low, int high); |
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| 108 | static int ddPermuteWindow4 (DdManager *table, int w); |
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| 109 | static int ddWindow4 (DdManager *table, int low, int high); |
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| 110 | static int ddWindowConv4 (DdManager *table, int low, int high); |
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| 111 | |
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| 112 | /**AutomaticEnd***************************************************************/ |
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| 113 | |
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| 114 | |
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| 115 | /*---------------------------------------------------------------------------*/ |
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| 116 | /* Definition of exported functions */ |
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| 117 | /*---------------------------------------------------------------------------*/ |
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| 118 | |
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| 119 | /*---------------------------------------------------------------------------*/ |
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| 120 | /* Definition of internal functions */ |
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| 121 | /*---------------------------------------------------------------------------*/ |
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| 122 | |
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| 123 | |
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| 124 | /**Function******************************************************************** |
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| 125 | |
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| 126 | Synopsis [Reorders by applying the method of the sliding window.] |
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| 127 | |
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| 128 | Description [Reorders by applying the method of the sliding window. |
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| 129 | Tries all possible permutations to the variables in a window that |
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| 130 | slides from low to high. The size of the window is determined by |
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| 131 | submethod. Assumes that no dead nodes are present. Returns 1 in |
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| 132 | case of success; 0 otherwise.] |
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| 133 | |
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| 134 | SideEffects [None] |
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| 135 | |
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| 136 | ******************************************************************************/ |
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| 137 | int |
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| 138 | cuddWindowReorder( |
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| 139 | DdManager * table /* DD table */, |
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| 140 | int low /* lowest index to reorder */, |
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| 141 | int high /* highest index to reorder */, |
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| 142 | Cudd_ReorderingType submethod /* window reordering option */) |
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| 143 | { |
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| 144 | |
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| 145 | int res; |
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| 146 | #ifdef DD_DEBUG |
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| 147 | int supposedOpt; |
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| 148 | #endif |
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| 149 | |
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| 150 | switch (submethod) { |
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| 151 | case CUDD_REORDER_WINDOW2: |
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| 152 | res = ddWindow2(table,low,high); |
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| 153 | break; |
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| 154 | case CUDD_REORDER_WINDOW3: |
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| 155 | res = ddWindow3(table,low,high); |
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| 156 | break; |
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| 157 | case CUDD_REORDER_WINDOW4: |
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| 158 | res = ddWindow4(table,low,high); |
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| 159 | break; |
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| 160 | case CUDD_REORDER_WINDOW2_CONV: |
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| 161 | res = ddWindowConv2(table,low,high); |
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| 162 | break; |
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| 163 | case CUDD_REORDER_WINDOW3_CONV: |
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| 164 | res = ddWindowConv3(table,low,high); |
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| 165 | #ifdef DD_DEBUG |
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| 166 | supposedOpt = table->keys - table->isolated; |
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| 167 | res = ddWindow3(table,low,high); |
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| 168 | if (table->keys - table->isolated != (unsigned) supposedOpt) { |
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| 169 | (void) fprintf(table->err, "Convergence failed! (%d != %d)\n", |
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| 170 | table->keys - table->isolated, supposedOpt); |
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| 171 | } |
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| 172 | #endif |
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| 173 | break; |
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| 174 | case CUDD_REORDER_WINDOW4_CONV: |
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| 175 | res = ddWindowConv4(table,low,high); |
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| 176 | #ifdef DD_DEBUG |
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| 177 | supposedOpt = table->keys - table->isolated; |
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| 178 | res = ddWindow4(table,low,high); |
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| 179 | if (table->keys - table->isolated != (unsigned) supposedOpt) { |
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| 180 | (void) fprintf(table->err,"Convergence failed! (%d != %d)\n", |
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| 181 | table->keys - table->isolated, supposedOpt); |
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| 182 | } |
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| 183 | #endif |
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| 184 | break; |
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| 185 | default: return(0); |
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| 186 | } |
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| 187 | |
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| 188 | return(res); |
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| 189 | |
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| 190 | } /* end of cuddWindowReorder */ |
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| 191 | |
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| 192 | |
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| 193 | /*---------------------------------------------------------------------------*/ |
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| 194 | /* Definition of static functions */ |
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| 195 | /*---------------------------------------------------------------------------*/ |
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| 196 | |
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| 197 | /**Function******************************************************************** |
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| 198 | |
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| 199 | Synopsis [Reorders by applying a sliding window of width 2.] |
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| 200 | |
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| 201 | Description [Reorders by applying a sliding window of width 2. |
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| 202 | Tries both permutations of the variables in a window |
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| 203 | that slides from low to high. Assumes that no dead nodes are |
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| 204 | present. Returns 1 in case of success; 0 otherwise.] |
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| 205 | |
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| 206 | SideEffects [None] |
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| 207 | |
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| 208 | ******************************************************************************/ |
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| 209 | static int |
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| 210 | ddWindow2( |
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| 211 | DdManager * table, |
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| 212 | int low, |
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| 213 | int high) |
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| 214 | { |
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| 215 | |
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| 216 | int x; |
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| 217 | int res; |
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| 218 | int size; |
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| 219 | |
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| 220 | #ifdef DD_DEBUG |
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| 221 | assert(low >= 0 && high < table->size); |
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| 222 | #endif |
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| 223 | |
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| 224 | if (high-low < 1) return(0); |
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| 225 | |
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| 226 | res = table->keys - table->isolated; |
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| 227 | for (x = low; x < high; x++) { |
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| 228 | size = res; |
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| 229 | res = cuddSwapInPlace(table,x,x+1); |
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| 230 | if (res == 0) return(0); |
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| 231 | if (res >= size) { /* no improvement: undo permutation */ |
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| 232 | res = cuddSwapInPlace(table,x,x+1); |
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| 233 | if (res == 0) return(0); |
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| 234 | } |
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| 235 | #ifdef DD_STATS |
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| 236 | if (res < size) { |
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| 237 | (void) fprintf(table->out,"-"); |
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| 238 | } else { |
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| 239 | (void) fprintf(table->out,"="); |
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| 240 | } |
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| 241 | fflush(table->out); |
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| 242 | #endif |
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| 243 | } |
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| 244 | |
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| 245 | return(1); |
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| 246 | |
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| 247 | } /* end of ddWindow2 */ |
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| 248 | |
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| 249 | |
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| 250 | /**Function******************************************************************** |
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| 251 | |
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| 252 | Synopsis [Reorders by repeatedly applying a sliding window of width 2.] |
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| 253 | |
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| 254 | Description [Reorders by repeatedly applying a sliding window of width |
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| 255 | 2. Tries both permutations of the variables in a window |
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| 256 | that slides from low to high. Assumes that no dead nodes are |
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| 257 | present. Uses an event-driven approach to determine convergence. |
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| 258 | Returns 1 in case of success; 0 otherwise.] |
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| 259 | |
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| 260 | SideEffects [None] |
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| 261 | |
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| 262 | ******************************************************************************/ |
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| 263 | static int |
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| 264 | ddWindowConv2( |
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| 265 | DdManager * table, |
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| 266 | int low, |
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| 267 | int high) |
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| 268 | { |
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| 269 | int x; |
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| 270 | int res; |
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| 271 | int nwin; |
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| 272 | int newevent; |
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| 273 | int *events; |
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| 274 | int size; |
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| 275 | |
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| 276 | #ifdef DD_DEBUG |
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| 277 | assert(low >= 0 && high < table->size); |
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| 278 | #endif |
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| 279 | |
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| 280 | if (high-low < 1) return(ddWindowConv2(table,low,high)); |
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| 281 | |
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| 282 | nwin = high-low; |
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| 283 | events = ALLOC(int,nwin); |
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| 284 | if (events == NULL) { |
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| 285 | table->errorCode = CUDD_MEMORY_OUT; |
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| 286 | return(0); |
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| 287 | } |
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| 288 | for (x=0; x<nwin; x++) { |
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| 289 | events[x] = 1; |
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| 290 | } |
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| 291 | |
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| 292 | res = table->keys - table->isolated; |
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| 293 | do { |
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| 294 | newevent = 0; |
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| 295 | for (x=0; x<nwin; x++) { |
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| 296 | if (events[x]) { |
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| 297 | size = res; |
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| 298 | res = cuddSwapInPlace(table,x+low,x+low+1); |
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| 299 | if (res == 0) { |
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| 300 | FREE(events); |
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| 301 | return(0); |
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| 302 | } |
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| 303 | if (res >= size) { /* no improvement: undo permutation */ |
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| 304 | res = cuddSwapInPlace(table,x+low,x+low+1); |
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| 305 | if (res == 0) { |
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| 306 | FREE(events); |
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| 307 | return(0); |
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| 308 | } |
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| 309 | } |
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| 310 | if (res < size) { |
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| 311 | if (x < nwin-1) events[x+1] = 1; |
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| 312 | if (x > 0) events[x-1] = 1; |
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| 313 | newevent = 1; |
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| 314 | } |
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| 315 | events[x] = 0; |
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| 316 | #ifdef DD_STATS |
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| 317 | if (res < size) { |
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| 318 | (void) fprintf(table->out,"-"); |
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| 319 | } else { |
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| 320 | (void) fprintf(table->out,"="); |
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| 321 | } |
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| 322 | fflush(table->out); |
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| 323 | #endif |
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| 324 | } |
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| 325 | } |
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| 326 | #ifdef DD_STATS |
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| 327 | if (newevent) { |
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| 328 | (void) fprintf(table->out,"|"); |
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| 329 | fflush(table->out); |
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| 330 | } |
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| 331 | #endif |
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| 332 | } while (newevent); |
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| 333 | |
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| 334 | FREE(events); |
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| 335 | |
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| 336 | return(1); |
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| 337 | |
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| 338 | } /* end of ddWindowConv3 */ |
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| 339 | |
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| 340 | |
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| 341 | /**Function******************************************************************** |
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| 342 | |
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| 343 | Synopsis [Tries all the permutations of the three variables between |
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| 344 | x and x+2 and retains the best.] |
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| 345 | |
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| 346 | Description [Tries all the permutations of the three variables between |
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| 347 | x and x+2 and retains the best. Assumes that no dead nodes are |
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| 348 | present. Returns the index of the best permutation (1-6) in case of |
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| 349 | success; 0 otherwise.Assumes that no dead nodes are present. Returns |
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| 350 | the index of the best permutation (1-6) in case of success; 0 |
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| 351 | otherwise.] |
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| 352 | |
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| 353 | SideEffects [None] |
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| 354 | |
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| 355 | ******************************************************************************/ |
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| 356 | static int |
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| 357 | ddPermuteWindow3( |
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| 358 | DdManager * table, |
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| 359 | int x) |
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| 360 | { |
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| 361 | int y,z; |
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| 362 | int size,sizeNew; |
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| 363 | int best; |
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| 364 | |
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| 365 | #ifdef DD_DEBUG |
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| 366 | assert(table->dead == 0); |
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| 367 | assert(x+2 < table->size); |
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| 368 | #endif |
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| 369 | |
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| 370 | size = table->keys - table->isolated; |
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| 371 | y = x+1; z = y+1; |
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| 372 | |
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| 373 | /* The permutation pattern is: |
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| 374 | ** (x,y)(y,z) |
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| 375 | ** repeated three times to get all 3! = 6 permutations. |
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| 376 | */ |
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| 377 | #define ABC 1 |
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| 378 | best = ABC; |
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| 379 | |
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| 380 | #define BAC 2 |
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| 381 | sizeNew = cuddSwapInPlace(table,x,y); |
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| 382 | if (sizeNew < size) { |
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| 383 | if (sizeNew == 0) return(0); |
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| 384 | best = BAC; |
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| 385 | size = sizeNew; |
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| 386 | } |
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| 387 | #define BCA 3 |
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| 388 | sizeNew = cuddSwapInPlace(table,y,z); |
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| 389 | if (sizeNew < size) { |
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| 390 | if (sizeNew == 0) return(0); |
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| 391 | best = BCA; |
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| 392 | size = sizeNew; |
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| 393 | } |
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| 394 | #define CBA 4 |
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| 395 | sizeNew = cuddSwapInPlace(table,x,y); |
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| 396 | if (sizeNew < size) { |
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| 397 | if (sizeNew == 0) return(0); |
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| 398 | best = CBA; |
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| 399 | size = sizeNew; |
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| 400 | } |
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| 401 | #define CAB 5 |
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| 402 | sizeNew = cuddSwapInPlace(table,y,z); |
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| 403 | if (sizeNew < size) { |
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| 404 | if (sizeNew == 0) return(0); |
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| 405 | best = CAB; |
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| 406 | size = sizeNew; |
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| 407 | } |
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| 408 | #define ACB 6 |
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| 409 | sizeNew = cuddSwapInPlace(table,x,y); |
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| 410 | if (sizeNew < size) { |
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| 411 | if (sizeNew == 0) return(0); |
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| 412 | best = ACB; |
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| 413 | size = sizeNew; |
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| 414 | } |
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| 415 | |
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| 416 | /* Now take the shortest route to the best permuytation. |
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| 417 | ** The initial permutation is ACB. |
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| 418 | */ |
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| 419 | switch(best) { |
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| 420 | case BCA: if (!cuddSwapInPlace(table,y,z)) return(0); |
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| 421 | case CBA: if (!cuddSwapInPlace(table,x,y)) return(0); |
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| 422 | case ABC: if (!cuddSwapInPlace(table,y,z)) return(0); |
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| 423 | case ACB: break; |
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| 424 | case BAC: if (!cuddSwapInPlace(table,y,z)) return(0); |
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| 425 | case CAB: if (!cuddSwapInPlace(table,x,y)) return(0); |
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| 426 | break; |
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| 427 | default: return(0); |
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| 428 | } |
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| 429 | |
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| 430 | #ifdef DD_DEBUG |
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| 431 | assert(table->keys - table->isolated == (unsigned) size); |
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| 432 | #endif |
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| 433 | |
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| 434 | return(best); |
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| 435 | |
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| 436 | } /* end of ddPermuteWindow3 */ |
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| 437 | |
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| 438 | |
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| 439 | /**Function******************************************************************** |
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| 440 | |
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| 441 | Synopsis [Reorders by applying a sliding window of width 3.] |
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| 442 | |
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| 443 | Description [Reorders by applying a sliding window of width 3. |
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| 444 | Tries all possible permutations to the variables in a |
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| 445 | window that slides from low to high. Assumes that no dead nodes are |
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| 446 | present. Returns 1 in case of success; 0 otherwise.] |
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| 447 | |
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| 448 | SideEffects [None] |
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| 449 | |
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| 450 | ******************************************************************************/ |
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| 451 | static int |
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| 452 | ddWindow3( |
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| 453 | DdManager * table, |
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| 454 | int low, |
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| 455 | int high) |
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| 456 | { |
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| 457 | |
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| 458 | int x; |
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| 459 | int res; |
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| 460 | |
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| 461 | #ifdef DD_DEBUG |
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| 462 | assert(low >= 0 && high < table->size); |
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| 463 | #endif |
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| 464 | |
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| 465 | if (high-low < 2) return(ddWindow2(table,low,high)); |
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| 466 | |
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| 467 | for (x = low; x+1 < high; x++) { |
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| 468 | res = ddPermuteWindow3(table,x); |
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| 469 | if (res == 0) return(0); |
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| 470 | #ifdef DD_STATS |
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| 471 | if (res == ABC) { |
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| 472 | (void) fprintf(table->out,"="); |
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| 473 | } else { |
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| 474 | (void) fprintf(table->out,"-"); |
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| 475 | } |
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| 476 | fflush(table->out); |
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| 477 | #endif |
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| 478 | } |
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| 479 | |
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| 480 | return(1); |
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| 481 | |
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| 482 | } /* end of ddWindow3 */ |
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| 483 | |
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| 484 | |
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| 485 | /**Function******************************************************************** |
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| 486 | |
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| 487 | Synopsis [Reorders by repeatedly applying a sliding window of width 3.] |
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| 488 | |
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| 489 | Description [Reorders by repeatedly applying a sliding window of width |
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| 490 | 3. Tries all possible permutations to the variables in a |
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| 491 | window that slides from low to high. Assumes that no dead nodes are |
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| 492 | present. Uses an event-driven approach to determine convergence. |
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| 493 | Returns 1 in case of success; 0 otherwise.] |
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| 494 | |
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| 495 | SideEffects [None] |
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| 496 | |
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| 497 | ******************************************************************************/ |
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| 498 | static int |
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| 499 | ddWindowConv3( |
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| 500 | DdManager * table, |
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| 501 | int low, |
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| 502 | int high) |
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| 503 | { |
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| 504 | int x; |
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| 505 | int res; |
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| 506 | int nwin; |
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| 507 | int newevent; |
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| 508 | int *events; |
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| 509 | |
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| 510 | #ifdef DD_DEBUG |
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| 511 | assert(low >= 0 && high < table->size); |
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| 512 | #endif |
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| 513 | |
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| 514 | if (high-low < 2) return(ddWindowConv2(table,low,high)); |
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| 515 | |
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| 516 | nwin = high-low-1; |
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| 517 | events = ALLOC(int,nwin); |
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| 518 | if (events == NULL) { |
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| 519 | table->errorCode = CUDD_MEMORY_OUT; |
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| 520 | return(0); |
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| 521 | } |
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| 522 | for (x=0; x<nwin; x++) { |
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| 523 | events[x] = 1; |
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| 524 | } |
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| 525 | |
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| 526 | do { |
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| 527 | newevent = 0; |
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| 528 | for (x=0; x<nwin; x++) { |
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| 529 | if (events[x]) { |
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| 530 | res = ddPermuteWindow3(table,x+low); |
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| 531 | switch (res) { |
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| 532 | case ABC: |
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| 533 | break; |
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| 534 | case BAC: |
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| 535 | if (x < nwin-1) events[x+1] = 1; |
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| 536 | if (x > 1) events[x-2] = 1; |
---|
| 537 | newevent = 1; |
---|
| 538 | break; |
---|
| 539 | case BCA: |
---|
| 540 | case CBA: |
---|
| 541 | case CAB: |
---|
| 542 | if (x < nwin-2) events[x+2] = 1; |
---|
| 543 | if (x < nwin-1) events[x+1] = 1; |
---|
| 544 | if (x > 0) events[x-1] = 1; |
---|
| 545 | if (x > 1) events[x-2] = 1; |
---|
| 546 | newevent = 1; |
---|
| 547 | break; |
---|
| 548 | case ACB: |
---|
| 549 | if (x < nwin-2) events[x+2] = 1; |
---|
| 550 | if (x > 0) events[x-1] = 1; |
---|
| 551 | newevent = 1; |
---|
| 552 | break; |
---|
| 553 | default: |
---|
| 554 | FREE(events); |
---|
| 555 | return(0); |
---|
| 556 | } |
---|
| 557 | events[x] = 0; |
---|
| 558 | #ifdef DD_STATS |
---|
| 559 | if (res == ABC) { |
---|
| 560 | (void) fprintf(table->out,"="); |
---|
| 561 | } else { |
---|
| 562 | (void) fprintf(table->out,"-"); |
---|
| 563 | } |
---|
| 564 | fflush(table->out); |
---|
| 565 | #endif |
---|
| 566 | } |
---|
| 567 | } |
---|
| 568 | #ifdef DD_STATS |
---|
| 569 | if (newevent) { |
---|
| 570 | (void) fprintf(table->out,"|"); |
---|
| 571 | fflush(table->out); |
---|
| 572 | } |
---|
| 573 | #endif |
---|
| 574 | } while (newevent); |
---|
| 575 | |
---|
| 576 | FREE(events); |
---|
| 577 | |
---|
| 578 | return(1); |
---|
| 579 | |
---|
| 580 | } /* end of ddWindowConv3 */ |
---|
| 581 | |
---|
| 582 | |
---|
| 583 | /**Function******************************************************************** |
---|
| 584 | |
---|
| 585 | Synopsis [Tries all the permutations of the four variables between w |
---|
| 586 | and w+3 and retains the best.] |
---|
| 587 | |
---|
| 588 | Description [Tries all the permutations of the four variables between |
---|
| 589 | w and w+3 and retains the best. Assumes that no dead nodes are |
---|
| 590 | present. Returns the index of the best permutation (1-24) in case of |
---|
| 591 | success; 0 otherwise.] |
---|
| 592 | |
---|
| 593 | SideEffects [None] |
---|
| 594 | |
---|
| 595 | ******************************************************************************/ |
---|
| 596 | static int |
---|
| 597 | ddPermuteWindow4( |
---|
| 598 | DdManager * table, |
---|
| 599 | int w) |
---|
| 600 | { |
---|
| 601 | int x,y,z; |
---|
| 602 | int size,sizeNew; |
---|
| 603 | int best; |
---|
| 604 | |
---|
| 605 | #ifdef DD_DEBUG |
---|
| 606 | assert(table->dead == 0); |
---|
| 607 | assert(w+3 < table->size); |
---|
| 608 | #endif |
---|
| 609 | |
---|
| 610 | size = table->keys - table->isolated; |
---|
| 611 | x = w+1; y = x+1; z = y+1; |
---|
| 612 | |
---|
| 613 | /* The permutation pattern is: |
---|
| 614 | * (w,x)(y,z)(w,x)(x,y) |
---|
| 615 | * (y,z)(w,x)(y,z)(x,y) |
---|
| 616 | * repeated three times to get all 4! = 24 permutations. |
---|
| 617 | * This gives a hamiltonian circuit of Cayley's graph. |
---|
| 618 | * The codes to the permutation are assigned in topological order. |
---|
| 619 | * The permutations at lower distance from the final permutation are |
---|
| 620 | * assigned lower codes. This way we can choose, between |
---|
| 621 | * permutations that give the same size, one that requires the minimum |
---|
| 622 | * number of swaps from the final permutation of the hamiltonian circuit. |
---|
| 623 | * There is an exception to this rule: ABCD is given Code 1, to |
---|
| 624 | * avoid oscillation when convergence is sought. |
---|
| 625 | */ |
---|
| 626 | #define ABCD 1 |
---|
| 627 | best = ABCD; |
---|
| 628 | |
---|
| 629 | #define BACD 7 |
---|
| 630 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 631 | if (sizeNew < size) { |
---|
| 632 | if (sizeNew == 0) return(0); |
---|
| 633 | best = BACD; |
---|
| 634 | size = sizeNew; |
---|
| 635 | } |
---|
| 636 | #define BADC 13 |
---|
| 637 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 638 | if (sizeNew < size) { |
---|
| 639 | if (sizeNew == 0) return(0); |
---|
| 640 | best = BADC; |
---|
| 641 | size = sizeNew; |
---|
| 642 | } |
---|
| 643 | #define ABDC 8 |
---|
| 644 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 645 | if (sizeNew < size || (sizeNew == size && ABDC < best)) { |
---|
| 646 | if (sizeNew == 0) return(0); |
---|
| 647 | best = ABDC; |
---|
| 648 | size = sizeNew; |
---|
| 649 | } |
---|
| 650 | #define ADBC 14 |
---|
| 651 | sizeNew = cuddSwapInPlace(table,x,y); |
---|
| 652 | if (sizeNew < size) { |
---|
| 653 | if (sizeNew == 0) return(0); |
---|
| 654 | best = ADBC; |
---|
| 655 | size = sizeNew; |
---|
| 656 | } |
---|
| 657 | #define ADCB 9 |
---|
| 658 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 659 | if (sizeNew < size || (sizeNew == size && ADCB < best)) { |
---|
| 660 | if (sizeNew == 0) return(0); |
---|
| 661 | best = ADCB; |
---|
| 662 | size = sizeNew; |
---|
| 663 | } |
---|
| 664 | #define DACB 15 |
---|
| 665 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 666 | if (sizeNew < size) { |
---|
| 667 | if (sizeNew == 0) return(0); |
---|
| 668 | best = DACB; |
---|
| 669 | size = sizeNew; |
---|
| 670 | } |
---|
| 671 | #define DABC 20 |
---|
| 672 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 673 | if (sizeNew < size) { |
---|
| 674 | if (sizeNew == 0) return(0); |
---|
| 675 | best = DABC; |
---|
| 676 | size = sizeNew; |
---|
| 677 | } |
---|
| 678 | #define DBAC 23 |
---|
| 679 | sizeNew = cuddSwapInPlace(table,x,y); |
---|
| 680 | if (sizeNew < size) { |
---|
| 681 | if (sizeNew == 0) return(0); |
---|
| 682 | best = DBAC; |
---|
| 683 | size = sizeNew; |
---|
| 684 | } |
---|
| 685 | #define BDAC 19 |
---|
| 686 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 687 | if (sizeNew < size || (sizeNew == size && BDAC < best)) { |
---|
| 688 | if (sizeNew == 0) return(0); |
---|
| 689 | best = BDAC; |
---|
| 690 | size = sizeNew; |
---|
| 691 | } |
---|
| 692 | #define BDCA 21 |
---|
| 693 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 694 | if (sizeNew < size || (sizeNew == size && BDCA < best)) { |
---|
| 695 | if (sizeNew == 0) return(0); |
---|
| 696 | best = BDCA; |
---|
| 697 | size = sizeNew; |
---|
| 698 | } |
---|
| 699 | #define DBCA 24 |
---|
| 700 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 701 | if (sizeNew < size) { |
---|
| 702 | if (sizeNew == 0) return(0); |
---|
| 703 | best = DBCA; |
---|
| 704 | size = sizeNew; |
---|
| 705 | } |
---|
| 706 | #define DCBA 22 |
---|
| 707 | sizeNew = cuddSwapInPlace(table,x,y); |
---|
| 708 | if (sizeNew < size || (sizeNew == size && DCBA < best)) { |
---|
| 709 | if (sizeNew == 0) return(0); |
---|
| 710 | best = DCBA; |
---|
| 711 | size = sizeNew; |
---|
| 712 | } |
---|
| 713 | #define DCAB 18 |
---|
| 714 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 715 | if (sizeNew < size || (sizeNew == size && DCAB < best)) { |
---|
| 716 | if (sizeNew == 0) return(0); |
---|
| 717 | best = DCAB; |
---|
| 718 | size = sizeNew; |
---|
| 719 | } |
---|
| 720 | #define CDAB 12 |
---|
| 721 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 722 | if (sizeNew < size || (sizeNew == size && CDAB < best)) { |
---|
| 723 | if (sizeNew == 0) return(0); |
---|
| 724 | best = CDAB; |
---|
| 725 | size = sizeNew; |
---|
| 726 | } |
---|
| 727 | #define CDBA 17 |
---|
| 728 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 729 | if (sizeNew < size || (sizeNew == size && CDBA < best)) { |
---|
| 730 | if (sizeNew == 0) return(0); |
---|
| 731 | best = CDBA; |
---|
| 732 | size = sizeNew; |
---|
| 733 | } |
---|
| 734 | #define CBDA 11 |
---|
| 735 | sizeNew = cuddSwapInPlace(table,x,y); |
---|
| 736 | if (sizeNew < size || (sizeNew == size && CBDA < best)) { |
---|
| 737 | if (sizeNew == 0) return(0); |
---|
| 738 | best = CBDA; |
---|
| 739 | size = sizeNew; |
---|
| 740 | } |
---|
| 741 | #define BCDA 16 |
---|
| 742 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 743 | if (sizeNew < size || (sizeNew == size && BCDA < best)) { |
---|
| 744 | if (sizeNew == 0) return(0); |
---|
| 745 | best = BCDA; |
---|
| 746 | size = sizeNew; |
---|
| 747 | } |
---|
| 748 | #define BCAD 10 |
---|
| 749 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 750 | if (sizeNew < size || (sizeNew == size && BCAD < best)) { |
---|
| 751 | if (sizeNew == 0) return(0); |
---|
| 752 | best = BCAD; |
---|
| 753 | size = sizeNew; |
---|
| 754 | } |
---|
| 755 | #define CBAD 5 |
---|
| 756 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 757 | if (sizeNew < size || (sizeNew == size && CBAD < best)) { |
---|
| 758 | if (sizeNew == 0) return(0); |
---|
| 759 | best = CBAD; |
---|
| 760 | size = sizeNew; |
---|
| 761 | } |
---|
| 762 | #define CABD 3 |
---|
| 763 | sizeNew = cuddSwapInPlace(table,x,y); |
---|
| 764 | if (sizeNew < size || (sizeNew == size && CABD < best)) { |
---|
| 765 | if (sizeNew == 0) return(0); |
---|
| 766 | best = CABD; |
---|
| 767 | size = sizeNew; |
---|
| 768 | } |
---|
| 769 | #define CADB 6 |
---|
| 770 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 771 | if (sizeNew < size || (sizeNew == size && CADB < best)) { |
---|
| 772 | if (sizeNew == 0) return(0); |
---|
| 773 | best = CADB; |
---|
| 774 | size = sizeNew; |
---|
| 775 | } |
---|
| 776 | #define ACDB 4 |
---|
| 777 | sizeNew = cuddSwapInPlace(table,w,x); |
---|
| 778 | if (sizeNew < size || (sizeNew == size && ACDB < best)) { |
---|
| 779 | if (sizeNew == 0) return(0); |
---|
| 780 | best = ACDB; |
---|
| 781 | size = sizeNew; |
---|
| 782 | } |
---|
| 783 | #define ACBD 2 |
---|
| 784 | sizeNew = cuddSwapInPlace(table,y,z); |
---|
| 785 | if (sizeNew < size || (sizeNew == size && ACBD < best)) { |
---|
| 786 | if (sizeNew == 0) return(0); |
---|
| 787 | best = ACBD; |
---|
| 788 | size = sizeNew; |
---|
| 789 | } |
---|
| 790 | |
---|
| 791 | /* Now take the shortest route to the best permutation. |
---|
| 792 | ** The initial permutation is ACBD. |
---|
| 793 | */ |
---|
| 794 | switch(best) { |
---|
| 795 | case DBCA: if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 796 | case BDCA: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 797 | case CDBA: if (!cuddSwapInPlace(table,w,x)) return(0); |
---|
| 798 | case ADBC: if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 799 | case ABDC: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 800 | case ACDB: if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 801 | case ACBD: break; |
---|
| 802 | case DCBA: if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 803 | case BCDA: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 804 | case CBDA: if (!cuddSwapInPlace(table,w,x)) return(0); |
---|
| 805 | if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 806 | if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 807 | break; |
---|
| 808 | case DBAC: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 809 | case DCAB: if (!cuddSwapInPlace(table,w,x)) return(0); |
---|
| 810 | case DACB: if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 811 | case BACD: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 812 | case CABD: if (!cuddSwapInPlace(table,w,x)) return(0); |
---|
| 813 | break; |
---|
| 814 | case DABC: if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 815 | case BADC: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 816 | case CADB: if (!cuddSwapInPlace(table,w,x)) return(0); |
---|
| 817 | if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 818 | break; |
---|
| 819 | case BDAC: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 820 | case CDAB: if (!cuddSwapInPlace(table,w,x)) return(0); |
---|
| 821 | case ADCB: if (!cuddSwapInPlace(table,y,z)) return(0); |
---|
| 822 | case ABCD: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 823 | break; |
---|
| 824 | case BCAD: if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 825 | case CBAD: if (!cuddSwapInPlace(table,w,x)) return(0); |
---|
| 826 | if (!cuddSwapInPlace(table,x,y)) return(0); |
---|
| 827 | break; |
---|
| 828 | default: return(0); |
---|
| 829 | } |
---|
| 830 | |
---|
| 831 | #ifdef DD_DEBUG |
---|
| 832 | assert(table->keys - table->isolated == (unsigned) size); |
---|
| 833 | #endif |
---|
| 834 | |
---|
| 835 | return(best); |
---|
| 836 | |
---|
| 837 | } /* end of ddPermuteWindow4 */ |
---|
| 838 | |
---|
| 839 | |
---|
| 840 | /**Function******************************************************************** |
---|
| 841 | |
---|
| 842 | Synopsis [Reorders by applying a sliding window of width 4.] |
---|
| 843 | |
---|
| 844 | Description [Reorders by applying a sliding window of width 4. |
---|
| 845 | Tries all possible permutations to the variables in a |
---|
| 846 | window that slides from low to high. Assumes that no dead nodes are |
---|
| 847 | present. Returns 1 in case of success; 0 otherwise.] |
---|
| 848 | |
---|
| 849 | SideEffects [None] |
---|
| 850 | |
---|
| 851 | ******************************************************************************/ |
---|
| 852 | static int |
---|
| 853 | ddWindow4( |
---|
| 854 | DdManager * table, |
---|
| 855 | int low, |
---|
| 856 | int high) |
---|
| 857 | { |
---|
| 858 | |
---|
| 859 | int w; |
---|
| 860 | int res; |
---|
| 861 | |
---|
| 862 | #ifdef DD_DEBUG |
---|
| 863 | assert(low >= 0 && high < table->size); |
---|
| 864 | #endif |
---|
| 865 | |
---|
| 866 | if (high-low < 3) return(ddWindow3(table,low,high)); |
---|
| 867 | |
---|
| 868 | for (w = low; w+2 < high; w++) { |
---|
| 869 | res = ddPermuteWindow4(table,w); |
---|
| 870 | if (res == 0) return(0); |
---|
| 871 | #ifdef DD_STATS |
---|
| 872 | if (res == ABCD) { |
---|
| 873 | (void) fprintf(table->out,"="); |
---|
| 874 | } else { |
---|
| 875 | (void) fprintf(table->out,"-"); |
---|
| 876 | } |
---|
| 877 | fflush(table->out); |
---|
| 878 | #endif |
---|
| 879 | } |
---|
| 880 | |
---|
| 881 | return(1); |
---|
| 882 | |
---|
| 883 | } /* end of ddWindow4 */ |
---|
| 884 | |
---|
| 885 | |
---|
| 886 | /**Function******************************************************************** |
---|
| 887 | |
---|
| 888 | Synopsis [Reorders by repeatedly applying a sliding window of width 4.] |
---|
| 889 | |
---|
| 890 | Description [Reorders by repeatedly applying a sliding window of width |
---|
| 891 | 4. Tries all possible permutations to the variables in a |
---|
| 892 | window that slides from low to high. Assumes that no dead nodes are |
---|
| 893 | present. Uses an event-driven approach to determine convergence. |
---|
| 894 | Returns 1 in case of success; 0 otherwise.] |
---|
| 895 | |
---|
| 896 | SideEffects [None] |
---|
| 897 | |
---|
| 898 | ******************************************************************************/ |
---|
| 899 | static int |
---|
| 900 | ddWindowConv4( |
---|
| 901 | DdManager * table, |
---|
| 902 | int low, |
---|
| 903 | int high) |
---|
| 904 | { |
---|
| 905 | int x; |
---|
| 906 | int res; |
---|
| 907 | int nwin; |
---|
| 908 | int newevent; |
---|
| 909 | int *events; |
---|
| 910 | |
---|
| 911 | #ifdef DD_DEBUG |
---|
| 912 | assert(low >= 0 && high < table->size); |
---|
| 913 | #endif |
---|
| 914 | |
---|
| 915 | if (high-low < 3) return(ddWindowConv3(table,low,high)); |
---|
| 916 | |
---|
| 917 | nwin = high-low-2; |
---|
| 918 | events = ALLOC(int,nwin); |
---|
| 919 | if (events == NULL) { |
---|
| 920 | table->errorCode = CUDD_MEMORY_OUT; |
---|
| 921 | return(0); |
---|
| 922 | } |
---|
| 923 | for (x=0; x<nwin; x++) { |
---|
| 924 | events[x] = 1; |
---|
| 925 | } |
---|
| 926 | |
---|
| 927 | do { |
---|
| 928 | newevent = 0; |
---|
| 929 | for (x=0; x<nwin; x++) { |
---|
| 930 | if (events[x]) { |
---|
| 931 | res = ddPermuteWindow4(table,x+low); |
---|
| 932 | switch (res) { |
---|
| 933 | case ABCD: |
---|
| 934 | break; |
---|
| 935 | case BACD: |
---|
| 936 | if (x < nwin-1) events[x+1] = 1; |
---|
| 937 | if (x > 2) events[x-3] = 1; |
---|
| 938 | newevent = 1; |
---|
| 939 | break; |
---|
| 940 | case BADC: |
---|
| 941 | if (x < nwin-3) events[x+3] = 1; |
---|
| 942 | if (x < nwin-1) events[x+1] = 1; |
---|
| 943 | if (x > 0) events[x-1] = 1; |
---|
| 944 | if (x > 2) events[x-3] = 1; |
---|
| 945 | newevent = 1; |
---|
| 946 | break; |
---|
| 947 | case ABDC: |
---|
| 948 | if (x < nwin-3) events[x+3] = 1; |
---|
| 949 | if (x > 0) events[x-1] = 1; |
---|
| 950 | newevent = 1; |
---|
| 951 | break; |
---|
| 952 | case ADBC: |
---|
| 953 | case ADCB: |
---|
| 954 | case ACDB: |
---|
| 955 | if (x < nwin-3) events[x+3] = 1; |
---|
| 956 | if (x < nwin-2) events[x+2] = 1; |
---|
| 957 | if (x > 0) events[x-1] = 1; |
---|
| 958 | if (x > 1) events[x-2] = 1; |
---|
| 959 | newevent = 1; |
---|
| 960 | break; |
---|
| 961 | case DACB: |
---|
| 962 | case DABC: |
---|
| 963 | case DBAC: |
---|
| 964 | case BDAC: |
---|
| 965 | case BDCA: |
---|
| 966 | case DBCA: |
---|
| 967 | case DCBA: |
---|
| 968 | case DCAB: |
---|
| 969 | case CDAB: |
---|
| 970 | case CDBA: |
---|
| 971 | case CBDA: |
---|
| 972 | case BCDA: |
---|
| 973 | case CADB: |
---|
| 974 | if (x < nwin-3) events[x+3] = 1; |
---|
| 975 | if (x < nwin-2) events[x+2] = 1; |
---|
| 976 | if (x < nwin-1) events[x+1] = 1; |
---|
| 977 | if (x > 0) events[x-1] = 1; |
---|
| 978 | if (x > 1) events[x-2] = 1; |
---|
| 979 | if (x > 2) events[x-3] = 1; |
---|
| 980 | newevent = 1; |
---|
| 981 | break; |
---|
| 982 | case BCAD: |
---|
| 983 | case CBAD: |
---|
| 984 | case CABD: |
---|
| 985 | if (x < nwin-2) events[x+2] = 1; |
---|
| 986 | if (x < nwin-1) events[x+1] = 1; |
---|
| 987 | if (x > 1) events[x-2] = 1; |
---|
| 988 | if (x > 2) events[x-3] = 1; |
---|
| 989 | newevent = 1; |
---|
| 990 | break; |
---|
| 991 | case ACBD: |
---|
| 992 | if (x < nwin-2) events[x+2] = 1; |
---|
| 993 | if (x > 1) events[x-2] = 1; |
---|
| 994 | newevent = 1; |
---|
| 995 | break; |
---|
| 996 | default: |
---|
| 997 | FREE(events); |
---|
| 998 | return(0); |
---|
| 999 | } |
---|
| 1000 | events[x] = 0; |
---|
| 1001 | #ifdef DD_STATS |
---|
| 1002 | if (res == ABCD) { |
---|
| 1003 | (void) fprintf(table->out,"="); |
---|
| 1004 | } else { |
---|
| 1005 | (void) fprintf(table->out,"-"); |
---|
| 1006 | } |
---|
| 1007 | fflush(table->out); |
---|
| 1008 | #endif |
---|
| 1009 | } |
---|
| 1010 | } |
---|
| 1011 | #ifdef DD_STATS |
---|
| 1012 | if (newevent) { |
---|
| 1013 | (void) fprintf(table->out,"|"); |
---|
| 1014 | fflush(table->out); |
---|
| 1015 | } |
---|
| 1016 | #endif |
---|
| 1017 | } while (newevent); |
---|
| 1018 | |
---|
| 1019 | FREE(events); |
---|
| 1020 | |
---|
| 1021 | return(1); |
---|
| 1022 | |
---|
| 1023 | } /* end of ddWindowConv4 */ |
---|