[14] | 1 | /**CFile*********************************************************************** |
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| 2 | |
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| 3 | FileName [restrUtil.c] |
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| 4 | |
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| 5 | PackageName [restr] |
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| 6 | |
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| 7 | Synopsis [Support functions used in the package.] |
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| 8 | |
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| 9 | Description [Support functions used in the package.] |
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| 10 | |
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| 11 | SeeAlso [restrDebug.c] |
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| 12 | |
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| 13 | Author [Balakrishna Kumthekar <kumtheka@colorado.edu>] |
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| 14 | |
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| 15 | Copyright [This file was created at the University of Colorado at |
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| 16 | Boulder. The University of Colorado at Boulder makes no warranty |
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| 17 | about the suitability of this software for any purpose. It is |
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| 18 | presented on an AS IS basis.] |
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| 19 | |
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| 20 | ******************************************************************************/ |
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| 21 | |
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| 22 | #include "restrInt.h" |
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| 23 | |
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| 24 | /*---------------------------------------------------------------------------*/ |
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| 25 | /* Constant declarations */ |
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| 26 | /*---------------------------------------------------------------------------*/ |
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| 27 | |
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| 28 | |
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| 29 | /*---------------------------------------------------------------------------*/ |
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| 30 | /* Type declarations */ |
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| 31 | /*---------------------------------------------------------------------------*/ |
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| 32 | |
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| 33 | |
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| 34 | /*---------------------------------------------------------------------------*/ |
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| 35 | /* Structure declarations */ |
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| 36 | /*---------------------------------------------------------------------------*/ |
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| 37 | |
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| 38 | |
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| 39 | /*---------------------------------------------------------------------------*/ |
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| 40 | /* Variable declarations */ |
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| 41 | /*---------------------------------------------------------------------------*/ |
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| 42 | |
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| 43 | |
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| 44 | /*---------------------------------------------------------------------------*/ |
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| 45 | /* Macro declarations */ |
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| 46 | /*---------------------------------------------------------------------------*/ |
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| 47 | |
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| 48 | /**AutomaticStart*************************************************************/ |
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| 49 | |
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| 50 | /*---------------------------------------------------------------------------*/ |
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| 51 | /* Static function prototypes */ |
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| 52 | /*---------------------------------------------------------------------------*/ |
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| 53 | |
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| 54 | |
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| 55 | /**AutomaticEnd***************************************************************/ |
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| 56 | |
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| 57 | |
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| 58 | /*---------------------------------------------------------------------------*/ |
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| 59 | /* Definition of exported functions */ |
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| 60 | /*---------------------------------------------------------------------------*/ |
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| 61 | |
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| 62 | |
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| 63 | /*---------------------------------------------------------------------------*/ |
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| 64 | /* Definition of internal functions */ |
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| 65 | /*---------------------------------------------------------------------------*/ |
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| 66 | |
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| 67 | /**Function******************************************************************** |
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| 68 | |
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| 69 | Synopsis [Returns the primary output node array for the given network.] |
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| 70 | |
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| 71 | Description [Returns the primary output node array for the given network.] |
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| 72 | |
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| 73 | SideEffects [None] |
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| 74 | |
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| 75 | SeeAlso [RestrGetNextStateArray] |
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| 76 | |
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| 77 | ******************************************************************************/ |
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| 78 | array_t * |
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| 79 | RestrGetOutputArray(Ntk_Network_t *network) |
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| 80 | { |
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| 81 | lsGen gen; |
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| 82 | Ntk_Node_t *node; |
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| 83 | array_t *outputArray; |
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| 84 | |
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| 85 | outputArray = array_alloc(char *, 0); |
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| 86 | Ntk_NetworkForEachPrimaryOutput(network, gen, node) { |
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| 87 | array_insert_last(char *, outputArray, Ntk_NodeReadName(node)); |
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| 88 | } |
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| 89 | |
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| 90 | return outputArray; |
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| 91 | } |
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| 92 | |
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| 93 | /**Function******************************************************************** |
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| 94 | |
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| 95 | Synopsis [Computes the product |
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| 96 | \prod_{i=0}^{i=n-1} funArray_{i}(x) \equiv funArray_{i}(y)] |
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| 97 | |
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| 98 | Description [Computes the product |
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| 99 | \prod_{i=0}^{i=n-1} funArray_{i}(x) \equiv funArray_{i}(y). |
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| 100 | |
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| 101 | funArray is an array of BDDs and each has xVars in its |
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| 102 | support. nVars is the number of xVars and yVars.] |
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| 103 | |
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| 104 | SideEffects [None] |
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| 105 | |
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| 106 | SeeAlso [RestrComputeTRWithIds] |
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| 107 | |
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| 108 | ******************************************************************************/ |
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| 109 | bdd_node * |
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| 110 | RestrCreateProductOutput( |
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| 111 | bdd_manager *ddManager, |
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| 112 | array_t *funArray, |
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| 113 | bdd_node **xVars, |
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| 114 | bdd_node **yVars, |
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| 115 | int nVars) |
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| 116 | { |
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| 117 | bdd_node *ddtemp, *ddtemp1; |
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| 118 | bdd_node *fn, *result; |
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| 119 | int i, num = array_n(funArray); |
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| 120 | |
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| 121 | bdd_ref(result = bdd_read_one(ddManager)); |
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| 122 | |
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| 123 | for(i = 0; i < num; i++) { |
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| 124 | |
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| 125 | ddtemp = array_fetch(bdd_node *, funArray, i);; |
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| 126 | |
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| 127 | ddtemp1 = bdd_bdd_swap_variables(ddManager,ddtemp,xVars,yVars,nVars); |
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| 128 | bdd_ref(ddtemp1); |
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| 129 | fn = bdd_bdd_xnor(ddManager,ddtemp1,ddtemp); |
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| 130 | bdd_ref(fn); |
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| 131 | bdd_recursive_deref(ddManager,ddtemp1); |
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| 132 | ddtemp1 = bdd_bdd_and(ddManager,result,fn); |
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| 133 | bdd_ref(ddtemp1); |
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| 134 | bdd_recursive_deref(ddManager,fn); |
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| 135 | bdd_recursive_deref(ddManager,result); |
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| 136 | result = ddtemp1; |
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| 137 | } |
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| 138 | |
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| 139 | return result; |
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| 140 | } |
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| 141 | |
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| 142 | /**Function******************************************************************** |
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| 143 | |
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| 144 | Synopsis [The function computes the following relations: |
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| 145 | \prod_{i=0}^{i=n-1} (y_i \equiv f_i(x)) and |
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| 146 | \prod_{i=0}^{i=n-1} (y_i \equiv f_i(x)) \wedge (v_i \equiv f_i(u)) and |
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| 147 | returns them in an array.] |
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| 148 | |
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| 149 | Description [The function computes the following relations: |
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| 150 | \prod_{i=0}^{i=n-1} (y_i \equiv f_i(x)) and |
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| 151 | \prod_{i=0}^{i=n-1} (y_i \equiv f_i(x)) \wedge (v_i \equiv f_i(u)) and |
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| 152 | returns them in an array. |
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| 153 | |
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| 154 | nextBdds is an array of nVar BDDs and has xVars in its |
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| 155 | support. xVars, yVars, uVars and vVars are arrays of BDD variables.] |
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| 156 | |
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| 157 | SideEffects [None] |
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| 158 | |
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| 159 | SeeAlso [RestrCreateProductOutput] |
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| 160 | |
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| 161 | ******************************************************************************/ |
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| 162 | array_t * |
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| 163 | RestrComputeTRWithIds( |
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| 164 | bdd_manager *ddManager, |
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| 165 | array_t *nextBdds, |
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| 166 | bdd_node **xVars, |
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| 167 | bdd_node **yVars, |
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| 168 | bdd_node **uVars, |
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| 169 | bdd_node **vVars, |
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| 170 | int nVars) |
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| 171 | { |
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| 172 | bdd_node *ddtemp1, *ddtemp2; |
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| 173 | bdd_node *oldTR, *fn; |
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| 174 | array_t *composite; |
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| 175 | int i; |
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| 176 | |
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| 177 | |
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| 178 | /* First compute oldTR(x,y) = \prod_{i=0}^{i=n-1} (y_i \equiv f_i(x)) */ |
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| 179 | bdd_ref(oldTR = bdd_read_one(ddManager)); |
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| 180 | |
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| 181 | for(i = 0; i < nVars; i++) { |
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| 182 | ddtemp2 = array_fetch(bdd_node *, nextBdds, i); |
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| 183 | |
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| 184 | fn = bdd_bdd_xnor(ddManager,ddtemp2,yVars[i]); |
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| 185 | bdd_ref(fn); |
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| 186 | ddtemp1 = bdd_bdd_and(ddManager,oldTR,fn); |
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| 187 | bdd_ref(ddtemp1); |
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| 188 | bdd_recursive_deref(ddManager,fn); |
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| 189 | bdd_recursive_deref(ddManager,oldTR); |
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| 190 | oldTR = ddtemp1; |
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| 191 | } |
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| 192 | |
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| 193 | /* fn(u,v) = oldTR(x-->u,y-->v) */ |
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| 194 | ddtemp2 = bdd_bdd_swap_variables(ddManager,oldTR,xVars,uVars,nVars); |
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| 195 | bdd_ref(ddtemp2); |
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| 196 | fn = bdd_bdd_swap_variables(ddManager,ddtemp2,yVars,vVars,nVars); |
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| 197 | bdd_ref(fn); |
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| 198 | bdd_recursive_deref(ddManager,ddtemp2); |
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| 199 | ddtemp1 = bdd_bdd_and(ddManager,fn,oldTR); |
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| 200 | bdd_ref(ddtemp1); |
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| 201 | bdd_recursive_deref(ddManager,fn); |
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| 202 | |
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| 203 | /* Return both the relations */ |
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| 204 | composite = array_alloc(bdd_node *,0); |
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| 205 | array_insert_last(bdd_node *,composite,oldTR); |
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| 206 | array_insert_last(bdd_node *,composite,ddtemp1); |
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| 207 | |
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| 208 | return composite; |
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| 209 | } |
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| 210 | |
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| 211 | /**Function******************************************************************** |
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| 212 | |
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| 213 | Synopsis [This function returns the state equivalence relation for an FSM.] |
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| 214 | |
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| 215 | Description [This function returns the state equivalence relation |
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| 216 | for an FSM. Lambda is the primary output relation and TR is the |
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| 217 | state transition relation of the product machine. Lambda has xVars, |
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| 218 | uVars and piVars in its support. TR has piVars, xVars,yVars,uVars |
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| 219 | and vVars in its support. nPi is the number of piVars and nVars is |
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| 220 | the number of xVars. xVars, yVars, uVars and vVars are all of the |
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| 221 | same size, i.e., nVars. The returned BDD is a function of xVars and |
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| 222 | uVars. |
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| 223 | |
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| 224 | For more information on the algorithm, please refer to "Dont care |
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| 225 | minimization of multi-level sequential logic networks", ICCAD 90.] |
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| 226 | |
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| 227 | SideEffects [None] |
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| 228 | |
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| 229 | SeeAlso [RestrComputeEquivRelationUsingCofactors] |
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| 230 | |
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| 231 | ******************************************************************************/ |
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| 232 | bdd_node * |
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| 233 | RestrGetEquivRelation( |
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| 234 | bdd_manager *mgr, |
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| 235 | bdd_node *Lambda, |
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| 236 | bdd_node *tranRelation, |
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| 237 | bdd_node **xVars, |
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| 238 | bdd_node **yVars, |
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| 239 | bdd_node **uVars, |
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| 240 | bdd_node **vVars, |
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| 241 | bdd_node **piVars, |
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| 242 | int nVars, |
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| 243 | int nPi, |
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| 244 | boolean restrVerbose) |
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| 245 | |
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| 246 | { |
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| 247 | bdd_node *initialEsp, *espK; |
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| 248 | bdd_node *espKPlusOne; |
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| 249 | bdd_node *inputCube, *nextCube; |
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| 250 | bdd_node **allPreVars, **allNexVars; |
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| 251 | bdd_node *temp; |
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| 252 | int i,depth; |
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| 253 | |
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| 254 | allPreVars = ALLOC(bdd_node *, 2*nVars); |
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| 255 | allNexVars = ALLOC(bdd_node *, 2*nVars); |
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| 256 | for(i = 0; i < nVars;i++) { |
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| 257 | allPreVars[i] = xVars[i]; |
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| 258 | allNexVars[i] = yVars[i]; |
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| 259 | } |
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| 260 | for(i = 0; i < nVars;i++) { |
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| 261 | allPreVars[i+nVars] = uVars[i]; |
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| 262 | allNexVars[i+nVars] = vVars[i]; |
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| 263 | } |
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| 264 | |
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| 265 | nextCube = bdd_bdd_compute_cube(mgr,allNexVars,NIL(int),2*nVars); |
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| 266 | bdd_ref(nextCube); |
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| 267 | |
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| 268 | inputCube = bdd_bdd_compute_cube(mgr,piVars,NIL(int),nPi); |
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| 269 | bdd_ref(inputCube); |
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| 270 | |
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| 271 | initialEsp = bdd_bdd_univ_abstract(mgr,Lambda,inputCube); |
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| 272 | bdd_ref(initialEsp); |
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| 273 | |
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| 274 | espK = bdd_bdd_swap_variables(mgr,initialEsp,allPreVars, |
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| 275 | allNexVars,2*nVars); |
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| 276 | bdd_ref(espK); |
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| 277 | |
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| 278 | depth = 0; |
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| 279 | do { |
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| 280 | bdd_node *image, *temp1; |
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| 281 | image = bdd_bdd_and_abstract(mgr,tranRelation, espK, nextCube); |
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| 282 | bdd_ref(image); |
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| 283 | |
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| 284 | temp1 = bdd_bdd_univ_abstract(mgr,image,inputCube); |
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| 285 | bdd_ref(temp1); |
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| 286 | bdd_recursive_deref(mgr,image); |
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| 287 | |
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| 288 | espKPlusOne = bdd_bdd_and(mgr,temp1,initialEsp); |
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| 289 | bdd_ref(espKPlusOne); |
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| 290 | bdd_recursive_deref(mgr,temp1); |
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| 291 | temp1 = bdd_bdd_swap_variables(mgr,espKPlusOne,allPreVars, |
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| 292 | allNexVars,2*nVars); |
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| 293 | bdd_ref(temp1); |
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| 294 | bdd_recursive_deref(mgr,espKPlusOne); |
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| 295 | espKPlusOne = temp1; |
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| 296 | |
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| 297 | if (espKPlusOne == espK) { |
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| 298 | break; |
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| 299 | } |
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| 300 | bdd_recursive_deref(mgr,espK); |
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| 301 | espK = espKPlusOne; |
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| 302 | depth++; |
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| 303 | } while (1); |
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| 304 | |
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| 305 | if (restrVerbose) |
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| 306 | (void) fprintf(vis_stdout,"** restr info: EQ. relation computation depth = %d\n", |
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| 307 | depth); |
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| 308 | |
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| 309 | bdd_recursive_deref(mgr,espKPlusOne); |
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| 310 | bdd_recursive_deref(mgr,initialEsp); |
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| 311 | bdd_recursive_deref(mgr,inputCube); |
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| 312 | bdd_recursive_deref(mgr,nextCube); |
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| 313 | |
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| 314 | bdd_ref(temp = bdd_bdd_swap_variables(mgr,espK,allNexVars, |
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| 315 | allPreVars,2*nVars)); |
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| 316 | bdd_recursive_deref(mgr,espK); |
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| 317 | espK = temp; |
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| 318 | |
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| 319 | FREE(allPreVars); |
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| 320 | FREE(allNexVars); |
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| 321 | |
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| 322 | return espK; |
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| 323 | } |
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| 324 | |
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| 325 | /**Function******************************************************************** |
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| 326 | |
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| 327 | Synopsis [This function returns the state equivalence relation for an FSM.] |
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| 328 | |
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| 329 | Description [This function returns the state equivalence relation |
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| 330 | for an FSM. Lambda is the primary output relation and TR is the |
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| 331 | state transition relation of the product machine. Lambda has xVars, |
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| 332 | uVars and piVars in its support. TR has piVars, xVars,yVars,uVars |
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| 333 | and vVars in its support. nPi is the number of piVars and nVars is |
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| 334 | the number of xVars. xVars, yVars, uVars and vVars are all of the |
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| 335 | same size, i.e., nVars. The returned BDD is a function of xVars and |
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| 336 | uVars. |
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| 337 | |
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| 338 | For more information on the algorithm, please refer to "Extending Equivalence |
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| 339 | Class Computation to Large FSMs", ICCD 96.] |
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| 340 | |
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| 341 | SideEffects [] |
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| 342 | |
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| 343 | SeeAlso [RestrGetEquivRelation] |
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| 344 | |
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| 345 | ******************************************************************************/ |
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| 346 | bdd_node * |
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| 347 | RestrComputeEquivRelationUsingCofactors( |
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| 348 | bdd_manager *mgr, |
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| 349 | bdd_node *Lambda, |
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| 350 | bdd_node *TR, |
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| 351 | bdd_node **xVars, |
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| 352 | bdd_node **yVars, |
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| 353 | bdd_node **uVars, |
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| 354 | bdd_node **vVars, |
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| 355 | bdd_node **piVars, |
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| 356 | int nVars, |
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| 357 | int nPi, |
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| 358 | boolean restrVerbose) |
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| 359 | |
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| 360 | { |
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| 361 | bdd_node *espKxu, *espKyv, *espKPlusOne, *espKMinusOne; |
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| 362 | bdd_node *espKCofKMinusOne; |
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| 363 | bdd_node *inputCube, *nextCube; |
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| 364 | bdd_node *tranRelation; |
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| 365 | bdd_node *newTran; |
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| 366 | bdd_node **allPreVars, **allNexVars; |
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| 367 | int i,depth; |
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| 368 | |
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| 369 | bdd_ref(tranRelation = TR); |
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| 370 | |
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| 371 | allPreVars = ALLOC(bdd_node *, 2*nVars); |
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| 372 | allNexVars = ALLOC(bdd_node *, 2*nVars); |
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| 373 | for(i = 0; i < nVars;i++) { |
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| 374 | allPreVars[i] = xVars[i]; |
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| 375 | allNexVars[i] = yVars[i]; |
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| 376 | } |
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| 377 | for(i = 0; i < nVars;i++) { |
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| 378 | allPreVars[i+nVars] = uVars[i]; |
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| 379 | allNexVars[i+nVars] = vVars[i]; |
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| 380 | } |
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| 381 | |
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| 382 | /* nextCube is a cube of yVars and vVars */ |
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| 383 | nextCube = bdd_bdd_compute_cube(mgr,allNexVars,NIL(int),2*nVars); |
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| 384 | bdd_ref(nextCube); |
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| 385 | |
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| 386 | /* inputCube is a cube of piVars */ |
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| 387 | inputCube = bdd_bdd_compute_cube(mgr,piVars,NIL(int),nPi); |
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| 388 | bdd_ref(inputCube); |
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| 389 | |
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| 390 | /* espKxu = \forall_{piVars} Lambda */ |
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| 391 | espKxu = bdd_bdd_univ_abstract(mgr,Lambda,inputCube); |
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| 392 | bdd_ref(espKxu); |
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| 393 | |
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| 394 | espKyv = bdd_bdd_swap_variables(mgr,espKxu,allPreVars, |
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| 395 | allNexVars,2*nVars); |
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| 396 | bdd_ref(espKyv); |
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| 397 | bdd_ref(espKMinusOne = bdd_read_one(mgr)); |
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| 398 | bdd_ref(espKPlusOne = bdd_read_one(mgr)); |
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| 399 | |
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| 400 | /* The following loop is essentially the following: |
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| 401 | * E_{k+1} = E_k \wedge (\forall_x(func)) where |
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| 402 | * func = \exists_{yv} ((TR \downarrow E_k) \wedge (E_k \downarrow E_{k-1})) |
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| 403 | */ |
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| 404 | depth = 0; |
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| 405 | while (1) { |
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| 406 | bdd_node *image, *temp1; |
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| 407 | |
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| 408 | bdd_recursive_deref(mgr, espKPlusOne); |
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| 409 | bdd_ref(espKCofKMinusOne = bdd_bdd_constrain(mgr, espKyv, |
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| 410 | espKMinusOne)); |
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| 411 | bdd_recursive_deref(mgr, espKMinusOne); |
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| 412 | bdd_ref(espKMinusOne = espKyv); |
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| 413 | |
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| 414 | bdd_ref(newTran = bdd_bdd_constrain(mgr, tranRelation, espKxu)); |
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| 415 | |
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| 416 | image = bdd_bdd_and_abstract(mgr,newTran, espKCofKMinusOne, nextCube); |
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| 417 | bdd_ref(image); |
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| 418 | bdd_recursive_deref(mgr, newTran); |
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| 419 | bdd_recursive_deref(mgr, espKCofKMinusOne); |
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| 420 | |
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| 421 | temp1 = bdd_bdd_univ_abstract(mgr,image,inputCube); |
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| 422 | bdd_ref(temp1); |
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| 423 | bdd_recursive_deref(mgr,image); |
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| 424 | espKPlusOne = bdd_bdd_and(mgr,temp1,espKxu); |
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| 425 | bdd_ref(espKPlusOne); |
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| 426 | bdd_recursive_deref(mgr,temp1); |
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| 427 | |
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| 428 | if (espKPlusOne == espKxu) { |
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| 429 | bdd_recursive_deref(mgr,espKMinusOne); |
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| 430 | bdd_recursive_deref(mgr,espKxu); |
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| 431 | bdd_recursive_deref(mgr,espKyv); |
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| 432 | bdd_recursive_deref(mgr,tranRelation); |
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| 433 | bdd_recursive_deref(mgr,inputCube); |
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| 434 | bdd_recursive_deref(mgr,nextCube); |
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| 435 | FREE(allPreVars); |
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| 436 | FREE(allNexVars); |
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| 437 | if (restrVerbose) { |
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| 438 | (void) fprintf(vis_stdout,"** restr info: EQ. relation computation depth = %d\n", |
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| 439 | depth); |
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| 440 | } |
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| 441 | return espKPlusOne; |
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| 442 | } |
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| 443 | |
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| 444 | bdd_recursive_deref(mgr, espKxu); |
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| 445 | bdd_ref(espKxu = espKPlusOne); |
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| 446 | bdd_recursive_deref(mgr, espKyv); |
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| 447 | espKyv = bdd_bdd_swap_variables(mgr,espKxu,allPreVars, |
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| 448 | allNexVars,2*nVars); |
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| 449 | bdd_ref(espKyv); |
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| 450 | |
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| 451 | depth++; |
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| 452 | } |
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| 453 | |
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| 454 | } |
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| 455 | |
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| 456 | /**Function******************************************************************** |
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| 457 | |
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| 458 | Synopsis [Returns the BDD for the augmented tr.] |
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| 459 | |
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| 460 | Description [Returns the BDD for the augmented tr. The procedure of |
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| 461 | augmentation is as follows: If there exists a pair (x,y) in tr and a |
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| 462 | pair (y,v) in equivRelation, then the augmented tr has an additional |
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| 463 | pair (x,v) added to it. The newly added edges are called 'ghost |
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| 464 | edges'. Moreover, tr is a function of xVars and yVars, while |
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| 465 | equivRelation is a function of yVars and vVars. nVars is the size of |
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| 466 | yVars and vVars each. The returned BDD has the same support |
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| 467 | variables as tr. |
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| 468 | |
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| 469 | The boolean formulation is: |
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| 470 | |
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| 471 | T^a(x,y) = \exists_z E(y,z) \wedge T(x,z)] |
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| 472 | |
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| 473 | SideEffects [None] |
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| 474 | |
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| 475 | SeeAlso [] |
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| 476 | |
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| 477 | ******************************************************************************/ |
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| 478 | bdd_node * |
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| 479 | RestrComputeTrWithGhostEdges( |
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| 480 | bdd_manager *mgr, |
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| 481 | bdd_node **yVars, |
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| 482 | bdd_node **vVars, |
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| 483 | bdd_node *tr, |
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| 484 | bdd_node *equivRelation, |
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| 485 | int nVars) |
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| 486 | { |
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| 487 | bdd_node *abstractCube; |
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| 488 | bdd_node *temp; |
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| 489 | bdd_node *ghostTR; |
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| 490 | |
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| 491 | abstractCube = bdd_bdd_compute_cube(mgr,yVars,NIL(int),nVars); |
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| 492 | bdd_ref(abstractCube); |
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| 493 | |
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| 494 | temp = bdd_bdd_and_abstract(mgr,tr,equivRelation,abstractCube); |
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| 495 | bdd_ref(temp); |
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| 496 | bdd_recursive_deref(mgr,abstractCube); |
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| 497 | |
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| 498 | ghostTR = bdd_bdd_swap_variables(mgr,temp,vVars,yVars,nVars); |
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| 499 | bdd_ref(ghostTR); |
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| 500 | bdd_recursive_deref(mgr,temp); |
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| 501 | |
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| 502 | return ghostTR; |
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| 503 | } |
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| 504 | |
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| 505 | /**Function******************************************************************** |
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| 506 | |
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| 507 | Synopsis [Returns a 0-1 ADD containing minterms such that the |
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| 508 | discriminant for those minterms in f is greater than that in g.] |
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| 509 | |
---|
| 510 | Description [Returns a 0-1 ADD containing minterms such that the |
---|
| 511 | discriminant for those minterms in f is greater than that in g.] |
---|
| 512 | |
---|
| 513 | SideEffects [None] |
---|
| 514 | |
---|
| 515 | SeeAlso [cuddAddApply.c] |
---|
| 516 | ******************************************************************************/ |
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| 517 | bdd_node * |
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| 518 | RestrAddMaximum( |
---|
| 519 | bdd_manager *ddManager, |
---|
| 520 | bdd_node **f, |
---|
| 521 | bdd_node **g) |
---|
| 522 | { |
---|
| 523 | bdd_node *plusInf; |
---|
| 524 | bdd_node *zero, *one; |
---|
| 525 | |
---|
| 526 | zero = bdd_read_zero(ddManager); |
---|
| 527 | one = bdd_read_one(ddManager); |
---|
| 528 | plusInf = bdd_read_plus_infinity(ddManager); |
---|
| 529 | |
---|
| 530 | if(*g == plusInf) { |
---|
| 531 | return zero; |
---|
| 532 | } |
---|
| 533 | |
---|
| 534 | if(bdd_is_constant(*f) && bdd_is_constant(*g)) { |
---|
| 535 | if(bdd_add_value(*f) > bdd_add_value(*g)) { |
---|
| 536 | return one; |
---|
| 537 | } else { |
---|
| 538 | return zero; |
---|
| 539 | } |
---|
| 540 | } |
---|
| 541 | return NULL; |
---|
| 542 | } |
---|
| 543 | |
---|
| 544 | |
---|
| 545 | /**Function******************************************************************** |
---|
| 546 | |
---|
| 547 | Synopsis [Returns a 0-1 ADD containing minterms such that the |
---|
| 548 | discriminant for those minterms in f is equal to that in g.] |
---|
| 549 | |
---|
| 550 | Description [Returns a 0-1 ADD containing minterms such that the |
---|
| 551 | discriminant for those minterms in f is equal to that in g.] |
---|
| 552 | |
---|
| 553 | SideEffects [None] |
---|
| 554 | |
---|
| 555 | SeeAlso [cuddAddApply.c] |
---|
| 556 | |
---|
| 557 | ******************************************************************************/ |
---|
| 558 | bdd_node * |
---|
| 559 | RestrAddEqual( |
---|
| 560 | bdd_manager *ddManager, |
---|
| 561 | bdd_node **f, |
---|
| 562 | bdd_node **g) |
---|
| 563 | { |
---|
| 564 | bdd_node *zero, *one; |
---|
| 565 | |
---|
| 566 | zero = bdd_read_zero(ddManager); |
---|
| 567 | one = bdd_read_one(ddManager); |
---|
| 568 | |
---|
| 569 | if(*f == *g) { |
---|
| 570 | return one; |
---|
| 571 | } |
---|
| 572 | |
---|
| 573 | if(bdd_is_constant(*f) && bdd_is_constant(*g)) { |
---|
| 574 | return zero; |
---|
| 575 | } |
---|
| 576 | return NULL; |
---|
| 577 | } |
---|
| 578 | |
---|
| 579 | /**Function******************************************************************** |
---|
| 580 | |
---|
| 581 | Synopsis [Given an array of BDD ids, return the array of |
---|
| 582 | corresponding BDDs.] |
---|
| 583 | |
---|
| 584 | Description [Given an array of BDD ids, return the array of |
---|
| 585 | corresponding BDDs.] |
---|
| 586 | |
---|
| 587 | SideEffects [None] |
---|
| 588 | |
---|
| 589 | SeeAlso [] |
---|
| 590 | |
---|
| 591 | ******************************************************************************/ |
---|
| 592 | bdd_node ** |
---|
| 593 | RestrBddNodeArrayFromIdArray( |
---|
| 594 | bdd_manager *ddManager, |
---|
| 595 | array_t *idArray) |
---|
| 596 | { |
---|
| 597 | bdd_node **xvars; |
---|
| 598 | int i,id; |
---|
| 599 | int nvars = array_n(idArray); |
---|
| 600 | |
---|
| 601 | xvars = ALLOC(bdd_node *, nvars); |
---|
| 602 | if (xvars == NULL) |
---|
| 603 | return NULL; |
---|
| 604 | |
---|
| 605 | for(i = 0; i < nvars; i++) { |
---|
| 606 | id = array_fetch(int,idArray,i); |
---|
| 607 | xvars[i] = bdd_bdd_ith_var(ddManager,id); |
---|
| 608 | bdd_ref(xvars[i]); |
---|
| 609 | } |
---|
| 610 | return xvars; |
---|
| 611 | } |
---|
| 612 | |
---|
| 613 | /**Function******************************************************************** |
---|
| 614 | |
---|
| 615 | Synopsis [Calculate the average bit change in the STG.] |
---|
| 616 | |
---|
| 617 | Description [Calculate the average bit change in the STG. probTR is an ADD |
---|
| 618 | representing the absolute transition probability matrix of the STG. |
---|
| 619 | xVars and yVars are the present and next state variables respectively. nVars |
---|
| 620 | is the number of state variables. |
---|
| 621 | |
---|
| 622 | average bit change = (\exists^+_x(probTr * HD(x,y))). ] |
---|
| 623 | |
---|
| 624 | SideEffects [None] |
---|
| 625 | |
---|
| 626 | SeeAlso [] |
---|
| 627 | ******************************************************************************/ |
---|
| 628 | double |
---|
| 629 | RestrAverageBitChange( |
---|
| 630 | bdd_manager *manager, |
---|
| 631 | bdd_node *probTR, |
---|
| 632 | bdd_node **xVars, |
---|
| 633 | bdd_node **yVars, |
---|
| 634 | int nVars) |
---|
| 635 | { |
---|
| 636 | bdd_node *diff, *cube, *PA, *QA; |
---|
| 637 | bdd_node **vars; |
---|
| 638 | double Mean; |
---|
| 639 | int i; |
---|
| 640 | |
---|
| 641 | vars = ALLOC(bdd_node *,2*nVars); |
---|
| 642 | for (i = 0; i < nVars; i++) { |
---|
| 643 | vars[i] = bdd_add_ith_var(manager,bdd_node_read_index(xVars[i])); |
---|
| 644 | bdd_ref(vars[i]); |
---|
| 645 | } |
---|
| 646 | for (i = nVars; i < 2*nVars; i++) { |
---|
| 647 | vars[i] = bdd_add_ith_var(manager,bdd_node_read_index(yVars[i-nVars])); |
---|
| 648 | bdd_ref(vars[i]); |
---|
| 649 | } |
---|
| 650 | |
---|
| 651 | cube = bdd_add_compute_cube(manager,vars,NIL(int),2*nVars); |
---|
| 652 | bdd_ref(cube); |
---|
| 653 | |
---|
| 654 | /* Calculate the Hamming distance ADD. This ADD represents the hamming |
---|
| 655 | * distance between two vectors represented by xVars and yVars. |
---|
| 656 | */ |
---|
| 657 | bdd_ref(diff = bdd_add_hamming(manager,xVars,yVars,nVars)); |
---|
| 658 | bdd_ref(PA = bdd_add_apply(manager,bdd_add_times,probTR,diff)); |
---|
| 659 | bdd_recursive_deref(manager,diff); |
---|
| 660 | |
---|
| 661 | /* And now add and abstract all the variables.*/ |
---|
| 662 | bdd_ref(QA = bdd_add_exist_abstract(manager,PA,cube)); |
---|
| 663 | bdd_recursive_deref(manager,PA); |
---|
| 664 | bdd_recursive_deref(manager,cube); |
---|
| 665 | Mean = (double)bdd_add_value(QA); |
---|
| 666 | bdd_recursive_deref(manager,QA); |
---|
| 667 | |
---|
| 668 | for (i = 0; i < 2*nVars; i++) { |
---|
| 669 | bdd_recursive_deref(manager,vars[i]); |
---|
| 670 | } |
---|
| 671 | FREE(vars); |
---|
| 672 | return Mean; |
---|
| 673 | } |
---|
| 674 | |
---|
| 675 | /**Function******************************************************************** |
---|
| 676 | |
---|
| 677 | Synopsis [Create an extra set of auxillary BDD variables--corresponding to |
---|
| 678 | present and next state variables of the network--required during |
---|
| 679 | restructuring.] |
---|
| 680 | |
---|
| 681 | SideEffects [None] |
---|
| 682 | |
---|
| 683 | SeeAlso [] |
---|
| 684 | |
---|
| 685 | ******************************************************************************/ |
---|
| 686 | array_t * |
---|
| 687 | RestrCreateNewStateVars( |
---|
| 688 | Ntk_Network_t *network, |
---|
| 689 | bdd_manager *ddManager, |
---|
| 690 | bdd_node **xVars, |
---|
| 691 | bdd_node **yVars) |
---|
| 692 | |
---|
| 693 | { |
---|
| 694 | Ntk_Node_t *node1; |
---|
| 695 | char *name, *name1; |
---|
| 696 | array_t *varValues; |
---|
| 697 | array_t *nameArray; |
---|
| 698 | int i,id,index; |
---|
| 699 | int nVars = Ntk_NetworkReadNumLatches(network); |
---|
| 700 | |
---|
| 701 | array_t *uVarIds, *vVarIds; |
---|
| 702 | array_t *result; |
---|
| 703 | |
---|
| 704 | varValues = array_alloc(int, 0); |
---|
| 705 | nameArray = array_alloc(char *,0); |
---|
| 706 | uVarIds = array_alloc(int, 0); |
---|
| 707 | vVarIds = array_alloc(int, 0); |
---|
| 708 | result = array_alloc(array_t *, 0); |
---|
| 709 | |
---|
| 710 | id = bdd_num_vars(ddManager); |
---|
| 711 | |
---|
| 712 | for (i = 0; i < nVars; i++) { |
---|
| 713 | index = bdd_node_read_index(yVars[i]); |
---|
| 714 | node1 = Ntk_NetworkFindNodeByMddId(network,index); |
---|
| 715 | name = Ntk_NodeReadName(node1); |
---|
| 716 | name1 = util_strcat3(name,"$NTK2",""); |
---|
| 717 | array_insert_last(int,varValues,2); |
---|
| 718 | array_insert_last(char *,nameArray,name1); |
---|
| 719 | array_insert_last(int, vVarIds, id); |
---|
| 720 | id++; |
---|
| 721 | |
---|
| 722 | index = bdd_node_read_index(xVars[i]); |
---|
| 723 | node1 = Ntk_NetworkFindNodeByMddId(network,index); |
---|
| 724 | name = Ntk_NodeReadName(node1); |
---|
| 725 | name1 = util_strcat3(name,"$NTK2",""); |
---|
| 726 | array_insert_last(int,varValues,2); |
---|
| 727 | array_insert_last(char *,nameArray,name1); |
---|
| 728 | array_insert_last(int, uVarIds, id); |
---|
| 729 | id++; |
---|
| 730 | |
---|
| 731 | } |
---|
| 732 | mdd_create_variables(ddManager,varValues,nameArray,NIL(array_t)); |
---|
| 733 | |
---|
| 734 | arrayForEachItem(char *,nameArray,i,name) { |
---|
| 735 | FREE(name); |
---|
| 736 | } |
---|
| 737 | array_free(nameArray); |
---|
| 738 | array_free(varValues); |
---|
| 739 | |
---|
| 740 | array_insert_last(array_t *, result, uVarIds); |
---|
| 741 | array_insert_last(array_t *, result, vVarIds); |
---|
| 742 | |
---|
| 743 | return result; |
---|
| 744 | } |
---|
| 745 | |
---|
| 746 | |
---|
| 747 | /**Function******************************************************************** |
---|
| 748 | |
---|
| 749 | Synopsis [In the absence of initial order of the variables, this |
---|
| 750 | function assings MDD Ids to the input, present state and next state |
---|
| 751 | variables.] |
---|
| 752 | |
---|
| 753 | Description [In the absence of initial order of the variables, this |
---|
| 754 | function assigns MDD Ids to the input, present state and next state |
---|
| 755 | variables. |
---|
| 756 | |
---|
| 757 | This procedure is NOT currently used and is here for future purposes.] |
---|
| 758 | |
---|
| 759 | SideEffects [The BDD manager is changed accordingly.] |
---|
| 760 | |
---|
| 761 | SeeAlso [] |
---|
| 762 | ******************************************************************************/ |
---|
| 763 | void |
---|
| 764 | RestrSetInitialOrder( |
---|
| 765 | Ntk_Network_t *network, |
---|
| 766 | bdd_manager *ddManager) |
---|
| 767 | |
---|
| 768 | { |
---|
| 769 | Ntk_Node_t *node, *node1; |
---|
| 770 | lsGen gen; |
---|
| 771 | char *name; |
---|
| 772 | array_t *varValues; |
---|
| 773 | array_t *nameArray; |
---|
| 774 | int id; |
---|
| 775 | |
---|
| 776 | varValues = array_alloc(int,0); |
---|
| 777 | nameArray = array_alloc(char *,0); |
---|
| 778 | |
---|
| 779 | id = 0; |
---|
| 780 | Ntk_NetworkForEachLatch(network,gen,node) { |
---|
| 781 | node1 = Ntk_NodeReadShadow(node); |
---|
| 782 | name = util_strsav(Ntk_NodeReadName(node1)); |
---|
| 783 | Ntk_NodeSetMddId(node1,id); |
---|
| 784 | array_insert_last(int,varValues,2); |
---|
| 785 | array_insert_last(char *,nameArray,name); |
---|
| 786 | id++; |
---|
| 787 | |
---|
| 788 | name = util_strsav(Ntk_NodeReadName(node)); |
---|
| 789 | Ntk_NodeSetMddId(node,id); |
---|
| 790 | array_insert_last(int,varValues,2); |
---|
| 791 | array_insert_last(char *,nameArray,name); |
---|
| 792 | id++; |
---|
| 793 | } |
---|
| 794 | |
---|
| 795 | Ntk_NetworkForEachPrimaryInput(network,gen,node) { |
---|
| 796 | name = util_strsav(Ntk_NodeReadName(node)); |
---|
| 797 | Ntk_NodeSetMddId(node,id); |
---|
| 798 | array_insert_last(int,varValues,2); |
---|
| 799 | array_insert_last(char *,nameArray,name); |
---|
| 800 | id++; |
---|
| 801 | } |
---|
| 802 | |
---|
| 803 | mdd_create_variables(ddManager,varValues,nameArray,NIL(array_t)); |
---|
| 804 | |
---|
| 805 | id = 0; |
---|
| 806 | arrayForEachItem(char *, nameArray, id, name) { |
---|
| 807 | FREE(name); |
---|
| 808 | } |
---|
| 809 | array_free(nameArray); |
---|
| 810 | array_free(varValues); |
---|
| 811 | |
---|
| 812 | } |
---|
| 813 | |
---|