1 | /**CFile*********************************************************************** |
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2 | |
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3 | FileName [spfdSpfd.c] |
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4 | |
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5 | PackageName [spfd] |
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6 | |
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7 | Synopsis [Routines to perform SPFD computation.] |
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8 | |
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9 | Description [Routines to perform SPFD computation.] |
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10 | |
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11 | SeeAlso [spfdProg.c] |
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12 | |
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13 | Author [Balakrishna Kumthekar] |
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14 | |
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15 | Copyright [This file was created at the University of Colorado at Boulder. |
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16 | The University of Colorado at Boulder makes no warranty about the suitability |
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17 | of this software for any purpose. It is presented on an AS IS basis.] |
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18 | |
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19 | ******************************************************************************/ |
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20 | |
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21 | #include "spfdInt.h" |
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22 | |
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23 | /*---------------------------------------------------------------------------*/ |
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24 | /* Constant declarations */ |
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25 | /*---------------------------------------------------------------------------*/ |
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26 | |
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27 | |
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28 | /*---------------------------------------------------------------------------*/ |
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29 | /* Type declarations */ |
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30 | /*---------------------------------------------------------------------------*/ |
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31 | |
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32 | |
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33 | /*---------------------------------------------------------------------------*/ |
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34 | /* Structure declarations */ |
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35 | /*---------------------------------------------------------------------------*/ |
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36 | |
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37 | |
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38 | /*---------------------------------------------------------------------------*/ |
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39 | /* Variable declarations */ |
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40 | /*---------------------------------------------------------------------------*/ |
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41 | |
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42 | |
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43 | /*---------------------------------------------------------------------------*/ |
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44 | /* Macro declarations */ |
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45 | /*---------------------------------------------------------------------------*/ |
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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 | static bdd_node * ComputeAuxRel(SpfdApplData_t *applData, bdd_node *faninRel, Ntk_Node_t *from, int piSwap); |
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55 | |
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56 | /**AutomaticEnd***************************************************************/ |
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57 | |
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58 | |
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59 | /*---------------------------------------------------------------------------*/ |
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60 | /* Definition of exported functions */ |
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61 | /*---------------------------------------------------------------------------*/ |
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62 | |
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63 | |
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64 | /*---------------------------------------------------------------------------*/ |
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65 | /* Definition of internal functions */ |
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66 | /*---------------------------------------------------------------------------*/ |
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67 | |
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68 | /**Function******************************************************************** |
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69 | |
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70 | Synopsis [Given two functions represented by bdd1 and bdd0, compute |
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71 | its SPFD.] |
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72 | |
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73 | SideEffects [None] |
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74 | |
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75 | ******************************************************************************/ |
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76 | bdd_node * |
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77 | SpfdNodeComputeSpfdFromOnAndOffSet( |
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78 | SpfdApplData_t *applData, |
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79 | Ntk_Node_t *regNode, |
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80 | bdd_node *bdd1, |
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81 | bdd_node *bdd0) |
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82 | { |
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83 | bdd_manager *ddManager = applData->ddManager; |
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84 | int numFanin = Ntk_NodeReadNumFanins(regNode); |
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85 | bdd_node **yVars,**yAuxVars; |
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86 | bdd_node *ddTemp,*rel,*spfd; |
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87 | Ntk_Node_t *fanin; |
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88 | int j,clean; |
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89 | |
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90 | /* If bdd1 and bdd0 are not specified, replace bdd1 and bdd0 by the |
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91 | node's local ON-set and OFF-set respectively */ |
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92 | clean = 0; |
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93 | if (bdd1 == NIL(bdd_node) || |
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94 | bdd0 == NIL(bdd_node)) { |
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95 | Ntk_Network_t *network; |
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96 | network = Ntk_NodeReadNetwork(regNode); |
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97 | bdd_ref(bdd1 = SpfdNodeReadLocalBdd(network,regNode)); |
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98 | bdd_ref(bdd0 = bdd_not_bdd_node(bdd1)); |
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99 | /* Delete bdd1 and bdd0 at the end.*/ |
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100 | clean = 1; |
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101 | } |
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102 | |
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103 | /* Array of variables for swapping */ |
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104 | numFanin = Ntk_NodeReadNumFanins(regNode); |
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105 | yVars = ALLOC(bdd_node *,numFanin); |
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106 | yAuxVars = ALLOC(bdd_node *,numFanin); |
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107 | Ntk_NodeForEachFanin(regNode,j,fanin) { |
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108 | yVars[j] = bdd_bdd_ith_var(ddManager,Ntk_NodeReadMddId(fanin)); |
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109 | yAuxVars[j] = bdd_bdd_ith_var(ddManager, |
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110 | SpfdNodeReadAuxId(applData,fanin)); |
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111 | } |
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112 | |
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113 | /* spfd is bdd1(y) * bdd0(y') + bdd1(y') * bdd0(y) */ |
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114 | bdd_ref(ddTemp = bdd_bdd_swap_variables(ddManager,bdd0, |
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115 | yVars,yAuxVars,numFanin)); |
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116 | bdd_ref(rel = bdd_bdd_and(ddManager,bdd1,ddTemp)); |
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117 | bdd_recursive_deref(ddManager,ddTemp); |
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118 | |
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119 | bdd_ref(ddTemp = bdd_bdd_swap_variables(ddManager,rel, |
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120 | yVars,yAuxVars,numFanin)); |
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121 | bdd_ref(spfd = bdd_bdd_or(ddManager,rel,ddTemp)); |
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122 | bdd_recursive_deref(ddManager,rel); |
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123 | bdd_recursive_deref(ddManager,ddTemp); |
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124 | FREE(yVars); |
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125 | FREE(yAuxVars); |
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126 | |
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127 | if (clean) { |
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128 | bdd_recursive_deref(ddManager,bdd1); |
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129 | bdd_recursive_deref(ddManager,bdd0); |
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130 | } |
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131 | return spfd; |
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132 | } /* End of SpfdNodeComputeSpfdFromOnAndOffSet */ |
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133 | |
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134 | |
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135 | /**Function******************************************************************** |
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136 | |
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137 | Synopsis [Compute the SPFD of 'from', as the union of SPFDs of its |
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138 | fanout wires.] |
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139 | |
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140 | SideEffects [None] |
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141 | |
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142 | ******************************************************************************/ |
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143 | bdd_node * |
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144 | SpfdNodeComputeSpfdFromFanouts( |
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145 | SpfdApplData_t *applData, |
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146 | Ntk_Node_t *from) |
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147 | { |
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148 | bdd_manager *ddManager = applData->ddManager; |
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149 | st_table *currBddReq; |
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150 | st_table *wireTable,*wiresRemoved; |
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151 | array_t *ordArray; |
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152 | bdd_node *result,*var,*varAux,*ddTemp,*ddTemp2; |
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153 | bdd_node *wireSpfd,*toSpfd,*fromSpfd,*xCube; |
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154 | bdd_node *step1,*faninRel,*faninRelAux,*inter,*final; |
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155 | bdd_node **firstCompose,**secondCompose; |
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156 | bdd_node *logicZero; |
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157 | Ntk_Node_t *fanin,*to; |
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158 | int index,i,j; |
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159 | int size,piSwap; |
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160 | |
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161 | |
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162 | if (Ntk_NodeReadNumFanouts(from) < 1) { |
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163 | (void) fprintf(vis_stdout, |
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164 | "** spfd error: Node %s has no fanouts.\n", |
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165 | Ntk_NodeReadName(from)); |
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166 | return NIL(bdd_node); |
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167 | } |
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168 | currBddReq = applData->currBddReq; |
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169 | xCube = applData->currXCube; |
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170 | logicZero = bdd_read_logic_zero(ddManager); |
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171 | |
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172 | /* Compute the characteristic function of the fanin relation: |
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173 | faninRel = \prod y_i == f_i(X) */ |
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174 | faninRel = SpfdComputeNodeArrayRelation(applData,currBddReq,NIL(array_t), |
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175 | Ntk_NodeReadFanins(from), |
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176 | TRUE,&piSwap); |
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177 | |
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178 | /* Convert faninRel(y,pi) to faninRel(\hat{y},pi) */ |
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179 | faninRelAux = ComputeAuxRel(applData,faninRel,from,piSwap); |
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180 | |
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181 | /* Compute SPFD wire by wire according to the order specified for |
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182 | each fanout node. */ |
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183 | wireTable = applData->currWireTable; |
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184 | wiresRemoved = applData->wiresRemoved; |
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185 | bdd_ref(fromSpfd = logicZero); |
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186 | Ntk_NodeForEachFanout(from,j,to) { |
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187 | |
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188 | bdd_ref(result = bdd_read_one(ddManager)); |
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189 | ordArray = SpfdNodeReadFaninOrder(applData,to); |
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190 | arrayForEachItem(Ntk_Node_t *,ordArray,i,fanin) { |
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191 | var = bdd_bdd_ith_var(ddManager,Ntk_NodeReadMddId(fanin)); |
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192 | index = SpfdNodeReadAuxId(applData,fanin); |
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193 | varAux = bdd_bdd_ith_var(ddManager,index); |
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194 | |
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195 | if (fanin != from) { |
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196 | /* XNOR */ |
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197 | bdd_ref(ddTemp = bdd_bdd_xnor(ddManager,var,varAux)); |
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198 | } else { |
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199 | /* XOR */ |
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200 | bdd_ref(ddTemp = bdd_bdd_xor(ddManager,var,varAux)); |
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201 | } |
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202 | bdd_ref(ddTemp2 = bdd_bdd_and(ddManager,result,ddTemp)); |
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203 | bdd_recursive_deref(ddManager,result); |
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204 | bdd_recursive_deref(ddManager,ddTemp); |
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205 | result = ddTemp2; |
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206 | |
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207 | if (fanin == from) |
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208 | break; |
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209 | } |
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210 | |
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211 | /* Compute AND of result and the SPFD of 'to'. */ |
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212 | toSpfd = SpfdNodeReadSpfd(applData,to); |
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213 | if (toSpfd == NIL(bdd_node)) { |
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214 | (void) fprintf(vis_stderr, |
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215 | "** spfd error: Spfd expected but not found.\n"); |
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216 | (void) fprintf(vis_stderr, "To node:\n"); |
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217 | Ntk_NodePrint(vis_stderr, to, TRUE, TRUE); |
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218 | (void) fprintf(vis_stderr, "From node:\n"); |
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219 | Ntk_NodePrint(vis_stderr, from, TRUE, TRUE); |
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220 | fflush(vis_stderr); |
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221 | assert(0); |
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222 | } |
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223 | bdd_ref(wireSpfd = bdd_bdd_and(ddManager,toSpfd,result)); |
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224 | bdd_recursive_deref(ddManager,result); |
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225 | |
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226 | /* Convert wireSpfd from fanout space to fanin space */ |
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227 | /* Prepare the vectors for composition */ |
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228 | size = bdd_num_vars(ddManager); |
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229 | firstCompose = ALLOC(bdd_node *,size); |
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230 | secondCompose = ALLOC(bdd_node *,size); |
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231 | for (i = 0; i < size; i++) { |
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232 | firstCompose[i] = bdd_bdd_ith_var(ddManager,i); |
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233 | secondCompose[i] = bdd_bdd_ith_var(ddManager,i); |
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234 | } |
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235 | |
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236 | arrayForEachItem(Ntk_Node_t *,ordArray,i,fanin) { |
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237 | int id,auxId; |
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238 | |
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239 | id = Ntk_NodeReadMddId(fanin); |
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240 | auxId = SpfdNodeReadAuxId(applData,fanin); |
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241 | st_lookup(currBddReq,(char *)fanin,(char **)&firstCompose[id]); |
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242 | secondCompose[auxId] = firstCompose[id]; |
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243 | } |
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244 | |
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245 | /* Perform the steps of compose --> existential abstraction twice */ |
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246 | bdd_ref(step1 = bdd_bdd_vector_compose(ddManager,wireSpfd,firstCompose)); |
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247 | bdd_recursive_deref(ddManager,wireSpfd); |
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248 | FREE(firstCompose); |
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249 | bdd_ref(inter = bdd_bdd_and_abstract(ddManager,faninRel,step1,xCube)); |
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250 | bdd_recursive_deref(ddManager,step1); |
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251 | |
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252 | /* The second of compose --> existential abstraction steps */ |
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253 | bdd_ref(ddTemp = bdd_bdd_vector_compose(ddManager,inter,secondCompose)); |
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254 | bdd_recursive_deref(ddManager,inter); |
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255 | FREE(secondCompose); |
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256 | bdd_ref(final = bdd_bdd_and_abstract(ddManager,faninRelAux, |
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257 | ddTemp,xCube)); |
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258 | bdd_recursive_deref(ddManager,ddTemp); |
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259 | |
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260 | /* Now 'final' is in the fanin space */ |
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261 | if (final == logicZero) { |
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262 | st_table *sinkTable; |
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263 | Ntk_Node_t *tempNode; |
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264 | boolean add; |
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265 | |
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266 | /* Check if this wire has already been removed. If yes, skip */ |
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267 | add = TRUE; |
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268 | if (st_lookup(wiresRemoved,(char *)from,&sinkTable) && |
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269 | st_lookup(sinkTable,(char *)to,&tempNode)) { |
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270 | add = FALSE; |
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271 | } |
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272 | |
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273 | if (add) { |
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274 | if (spfdVerbose > 2) |
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275 | (void) fprintf(vis_stdout, |
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276 | "** spfd info: wire %s --> %s has empty spfd.\n", |
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277 | Ntk_NodeReadName(from),Ntk_NodeReadName(to)); |
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278 | |
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279 | /* Add to the wireTable */ |
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280 | if (st_lookup(wireTable,(char *)from,&sinkTable)) { |
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281 | st_insert(sinkTable,(char *)to,(char *)to); |
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282 | } else { |
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283 | sinkTable = st_init_table(st_ptrcmp,st_ptrhash); |
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284 | st_insert(sinkTable,(char *)to,(char *)to); |
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285 | st_insert(wireTable,(char *)from,(char *)sinkTable); |
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286 | } |
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287 | } |
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288 | } |
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289 | |
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290 | bdd_ref(ddTemp = bdd_bdd_or(ddManager,fromSpfd,final)); |
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291 | bdd_recursive_deref(ddManager,fromSpfd); |
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292 | bdd_recursive_deref(ddManager,final); |
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293 | |
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294 | fromSpfd = ddTemp; |
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295 | } |
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296 | bdd_recursive_deref(ddManager,faninRel); |
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297 | bdd_recursive_deref(ddManager,faninRelAux); |
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298 | |
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299 | /* Swap variables for fromSpfd if necessary */ |
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300 | if (piSwap) { /* If we have used alternate PI ids */ |
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301 | ddTemp = SpfdSwapPiAndAltPi(applData,fromSpfd); |
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302 | bdd_recursive_deref(ddManager,fromSpfd); |
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303 | fromSpfd = ddTemp; |
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304 | } |
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305 | |
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306 | return fromSpfd; |
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307 | |
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308 | } /* End of SpfdNodeComputeSpfdFromFanouts */ |
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309 | |
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310 | |
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311 | /**Function******************************************************************** |
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312 | |
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313 | Synopsis [Compute the strongly connected components in the SPFD of |
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314 | regNode. 'tempVars' are extra variables required during this |
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315 | computation. For detailed description please refer to: |
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316 | |
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317 | Subarnarekha Sinha and Robert K. Brayton. Implementation and use of |
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318 | SPFDs in optimizaing Boolean networks. In International Conference |
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319 | on Computer Aided Design, 1998.] |
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320 | |
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321 | SideEffects [None] |
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322 | |
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323 | ******************************************************************************/ |
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324 | st_table * |
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325 | SpfdNodeComputeSCCs( |
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326 | SpfdApplData_t *applData, |
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327 | Ntk_Node_t *regNode, |
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328 | bdd_node **tempVars) |
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329 | { |
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330 | bdd_manager *ddManager = applData->ddManager; |
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331 | st_table *inUseVars = applData->currInUseVars; |
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332 | Ntk_Node_t *fanin; |
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333 | st_table *SCC; |
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334 | bdd_node *spfd,*spfd2,*auxCube; |
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335 | bdd_node *ddTemp1,*ddTemp2,*logicZero,*faninCube; |
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336 | bdd_node *Ny,*E1y,*E0y; |
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337 | bdd_node *from,*To,*new_,*reached; |
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338 | bdd_node **faninVars,**auxVars; |
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339 | int i,numFanin,varsAllocated; |
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340 | |
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341 | numFanin = Ntk_NodeReadNumFanins(regNode); |
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342 | SCC = st_init_table(st_ptrcmp,st_ptrhash); |
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343 | spfd = SpfdNodeReadSpfd(applData,regNode); |
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344 | logicZero = bdd_read_logic_zero(ddManager); |
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345 | |
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346 | if (spfd == logicZero) |
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347 | return SCC; |
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348 | |
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349 | varsAllocated = 0; |
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350 | /* Allocate variables if necessary */ |
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351 | if (tempVars == NIL(bdd_node *)) { |
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352 | tempVars = SpfdAllocateTemporaryVariables(ddManager,inUseVars,numFanin); |
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353 | varsAllocated = 1; |
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354 | } |
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355 | |
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356 | faninVars = ALLOC(bdd_node *,numFanin); |
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357 | auxVars = ALLOC(bdd_node *,numFanin); |
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358 | Ntk_NodeForEachFanin(regNode,i,fanin) { |
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359 | faninVars[i] = bdd_bdd_ith_var(ddManager,Ntk_NodeReadMddId(fanin)); |
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360 | auxVars[i] = bdd_bdd_ith_var(ddManager, |
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361 | SpfdNodeReadAuxId(applData,fanin)); |
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362 | } |
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363 | |
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364 | bdd_ref(auxCube = bdd_bdd_compute_cube(ddManager,auxVars, |
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365 | NIL(int),numFanin)); |
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366 | /* Compute spfd2 = \exists_{\hat{y}} spfd(y,\hat{y}) * |
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367 | spfd(\hat{y},\tilde{y}) */ |
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368 | bdd_ref(ddTemp1 = bdd_bdd_swap_variables(ddManager,spfd,faninVars, |
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369 | auxVars,numFanin)); |
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370 | bdd_ref(ddTemp2 = bdd_bdd_swap_variables(ddManager,ddTemp1,faninVars, |
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371 | tempVars,numFanin)); |
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372 | bdd_recursive_deref(ddManager,ddTemp1); |
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373 | bdd_ref(spfd2 = bdd_bdd_and_abstract(ddManager,spfd,ddTemp2,auxCube)); |
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374 | bdd_recursive_deref(ddManager,ddTemp2); |
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375 | |
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376 | /* SCC computation */ |
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377 | bdd_ref(faninCube = bdd_bdd_compute_cube(ddManager,faninVars, |
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378 | NIL(int),numFanin)); |
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379 | /* Compute N(y) = \exists_{\hat{y}} spfd(y,\hat{y}) */ |
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380 | bdd_ref(Ny = bdd_bdd_exist_abstract(ddManager,spfd,auxCube)); |
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381 | bdd_recursive_deref(ddManager,auxCube); |
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382 | |
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383 | while (Ny != logicZero) { |
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384 | /* To compute E1(y) perform the fixpoint image computation */ |
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385 | bdd_ref(from = bdd_bdd_pick_one_minterm(ddManager,Ny,faninVars,numFanin)); |
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386 | bdd_ref(reached = from); |
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387 | do { |
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388 | bdd_ref(ddTemp1 = bdd_bdd_and_abstract(ddManager,spfd2,from,faninCube)); |
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389 | bdd_recursive_deref(ddManager,from); |
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390 | bdd_ref(To = bdd_bdd_swap_variables(ddManager,ddTemp1,tempVars, |
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391 | faninVars,numFanin)); |
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392 | bdd_recursive_deref(ddManager,ddTemp1); |
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393 | bdd_ref(new_ = bdd_bdd_and(ddManager,To,bdd_not_bdd_node(reached))); |
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394 | bdd_recursive_deref(ddManager,To); |
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395 | bdd_ref(ddTemp1 = bdd_bdd_or(ddManager,reached,new_)); |
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396 | bdd_recursive_deref(ddManager,reached); |
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397 | reached = ddTemp1; |
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398 | from = new_; |
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399 | } while (new_ != logicZero); |
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400 | |
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401 | E1y = reached; |
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402 | |
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403 | /* E_0(y) = \exists_{\hat{y}} spfd(y,\hat{y}) * E_1(y) */ |
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404 | bdd_ref(ddTemp1 = bdd_bdd_and_abstract(ddManager,spfd,E1y,faninCube)); |
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405 | bdd_ref(E0y = bdd_bdd_swap_variables(ddManager,ddTemp1,auxVars, |
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406 | faninVars,numFanin)); |
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407 | bdd_recursive_deref(ddManager,ddTemp1); |
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408 | |
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409 | /* Update Ny: Ny = Ny * (E1y + E0y)' */ |
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410 | bdd_ref(ddTemp1 = bdd_bdd_or(ddManager,E1y,E0y)); |
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411 | bdd_ref(ddTemp2 = bdd_bdd_and(ddManager,Ny,bdd_not_bdd_node(ddTemp1))); |
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412 | bdd_recursive_deref(ddManager,ddTemp1); |
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413 | bdd_recursive_deref(ddManager,Ny); |
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414 | Ny = ddTemp2; |
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415 | |
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416 | /* Store E1y and E0y in an st_table */ |
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417 | st_insert(SCC,(char *)E1y,(char *)E0y); |
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418 | } |
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419 | bdd_recursive_deref(ddManager,faninCube); |
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420 | bdd_recursive_deref(ddManager,Ny); |
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421 | |
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422 | FREE(auxVars); |
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423 | FREE(faninVars); |
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424 | |
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425 | if (varsAllocated) { |
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426 | long id; |
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427 | for (i = 0; i < numFanin; i++) { |
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428 | id = (long) bdd_node_read_index(tempVars[i]); |
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429 | st_delete(inUseVars,&id,NIL(char *)); |
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430 | } |
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431 | FREE(tempVars); |
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432 | } |
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433 | |
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434 | return SCC; |
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435 | |
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436 | } /* End of SpfdNodeComputeSCCs */ |
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437 | |
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438 | /*---------------------------------------------------------------------------*/ |
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439 | /* Definition of static functions */ |
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440 | /*---------------------------------------------------------------------------*/ |
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441 | |
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442 | /**Function******************************************************************** |
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443 | |
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444 | Synopsis [Convert faninRel which is interms of Y, to Y', the |
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445 | auxillary variables.] |
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446 | |
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447 | SideEffects [None] |
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448 | |
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449 | ******************************************************************************/ |
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450 | static bdd_node * |
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451 | ComputeAuxRel( |
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452 | SpfdApplData_t *applData, |
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453 | bdd_node *faninRel, |
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454 | Ntk_Node_t *from, |
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455 | int piSwap) |
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456 | { |
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457 | bdd_node **fromVars,**toVars; |
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458 | int numFi = Ntk_NodeReadNumFanins(from); |
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459 | int k,altId; |
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460 | Ntk_Node_t *fanin; |
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461 | bdd_node *faninRelAux; |
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462 | st_table *piAltVars; |
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463 | bdd_manager *ddManager = applData->ddManager; |
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464 | |
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465 | piAltVars = applData->currPiAltVars; |
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466 | |
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467 | /* Collect variables for swapping. */ |
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468 | fromVars = ALLOC(bdd_node *,numFi); |
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469 | toVars = ALLOC(bdd_node *,numFi); |
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470 | Ntk_NodeForEachFanin(from,k,fanin) { |
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471 | int id = Ntk_NodeReadMddId(fanin); |
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472 | if (piSwap && st_lookup(piAltVars,(char *)(long)id,&altId)) { |
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473 | fromVars[k] = bdd_bdd_ith_var(ddManager,altId); |
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474 | } else { |
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475 | fromVars[k] = bdd_bdd_ith_var(ddManager,id); |
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476 | } |
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477 | toVars[k] = bdd_bdd_ith_var(ddManager,SpfdNodeReadAuxId(applData,fanin)); |
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478 | } |
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479 | bdd_ref(faninRelAux = bdd_bdd_swap_variables(ddManager,faninRel,fromVars, |
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480 | toVars,numFi)); |
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481 | FREE(fromVars); |
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482 | FREE(toVars); |
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483 | |
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484 | return faninRelAux; |
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485 | |
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486 | } /* End of ComputeAuxRel */ |
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