ABC: A System for Sequential Synthesis and Verification
 
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nwkUtil.c
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1
20
21#include <math.h>
22#include "nwk.h"
23#include "bool/kit/kit.h"
24
26
27
31
35
48{
49 Nwk_Obj_t * pObj;
50 int i;
51 if ( pNtk->nTravIds >= (1<<26)-1 )
52 {
53 pNtk->nTravIds = 0;
54 Nwk_ManForEachObj( pNtk, pObj, i )
55 pObj->TravId = 0;
56 }
57 pNtk->nTravIds++;
58}
59
72{
73 Nwk_Obj_t * pNode;
74 int i, nFaninsMax = 0;
75 Nwk_ManForEachNode( pNtk, pNode, i )
76 {
77 if ( nFaninsMax < Nwk_ObjFaninNum(pNode) )
78 nFaninsMax = Nwk_ObjFaninNum(pNode);
79 }
80 return nFaninsMax;
81}
82
95{
96 Nwk_Obj_t * pNode;
97 int i, nFanins = 0;
98 Nwk_ManForEachNode( pNtk, pNode, i )
99 nFanins += Nwk_ObjFaninNum(pNode);
100 return nFanins;
101}
102
103
116{
117 Nwk_Obj_t * pNode;
118 int i, Counter = 0;
119 Nwk_ManForEachCi( pNtk, pNode, i )
120 Counter += Nwk_ObjIsPi( pNode );
121 return Counter;
122}
123
136{
137 Nwk_Obj_t * pNode;
138 int i, Counter = 0;
139 Nwk_ManForEachCo( pNtk, pNode, i )
140 Counter += Nwk_ObjIsPo( pNode );
141 return Counter;
142}
143
156{
157 Nwk_Obj_t * pNode;
158 int i, nNodes = 0;
159 Nwk_ManForEachNode( pNtk, pNode, i )
160 {
161 if ( pNode->pFunc == NULL )
162 {
163 printf( "Nwk_ManGetAigNodeNum(): Local AIG of node %d is not assigned.\n", pNode->Id );
164 continue;
165 }
166 if ( Nwk_ObjFaninNum(pNode) < 2 )
167 continue;
168 nNodes += Hop_DagSize( pNode->pFunc );
169 }
170 return nNodes;
171}
172
185{
186 int Diff = (*pp1)->Level - (*pp2)->Level;
187 if ( Diff < 0 )
188 return -1;
189 if ( Diff > 0 )
190 return 1;
191 return 0;
192}
193
206{
207 int Diff = (*pp1)->Level - (*pp2)->Level;
208 if ( Diff > 0 )
209 return -1;
210 if ( Diff < 0 )
211 return 1;
212 return 0;
213}
214
227{
228 Nwk_Obj_t * pNext;
229 int i;
230 printf( "ObjId = %5d. ", pObj->Id );
231 if ( Nwk_ObjIsPi(pObj) )
232 printf( "PI" );
233 if ( Nwk_ObjIsPo(pObj) )
234 printf( "PO" );
235 if ( Nwk_ObjIsNode(pObj) )
236 printf( "Node" );
237 printf( " Fanins = " );
238 Nwk_ObjForEachFanin( pObj, pNext, i )
239 printf( "%d ", pNext->Id );
240 printf( " Fanouts = " );
241 Nwk_ObjForEachFanout( pObj, pNext, i )
242 printf( "%d ", pNext->Id );
243 printf( "\n" );
244}
245
257void Nwk_ManDumpBlif( Nwk_Man_t * pNtk, char * pFileName, Vec_Ptr_t * vPiNames, Vec_Ptr_t * vPoNames )
258{
259 FILE * pFile;
260 Vec_Ptr_t * vNodes;
261 Vec_Int_t * vTruth;
262 Vec_Int_t * vCover;
263 Nwk_Obj_t * pObj, * pFanin;
264 Aig_MmFlex_t * pMem;
265 char * pSop = NULL;
266 unsigned * pTruth;
267 int i, k, nDigits;
268 if ( Nwk_ManPoNum(pNtk) == 0 )
269 {
270 printf( "Nwk_ManDumpBlif(): Network does not have POs.\n" );
271 return;
272 }
273 // collect nodes in the DFS order
274 nDigits = Abc_Base10Log( Nwk_ManObjNumMax(pNtk) );
275 // write the file
276 pFile = fopen( pFileName, "w" );
277 fprintf( pFile, "# BLIF file written by procedure Nwk_ManDumpBlif()\n" );
278// fprintf( pFile, "# http://www.eecs.berkeley.edu/~alanmi/abc/\n" );
279 fprintf( pFile, ".model %s\n", pNtk->pName );
280 // write PIs
281 fprintf( pFile, ".inputs" );
282 Nwk_ManForEachCi( pNtk, pObj, i )
283 if ( vPiNames )
284 fprintf( pFile, " %s", (char*)Vec_PtrEntry(vPiNames, i) );
285 else
286 fprintf( pFile, " n%0*d", nDigits, pObj->Id );
287 fprintf( pFile, "\n" );
288 // write POs
289 fprintf( pFile, ".outputs" );
290 Nwk_ManForEachCo( pNtk, pObj, i )
291 if ( vPoNames )
292 fprintf( pFile, " %s", (char*)Vec_PtrEntry(vPoNames, i) );
293 else
294 fprintf( pFile, " n%0*d", nDigits, pObj->Id );
295 fprintf( pFile, "\n" );
296 // write nodes
297 pMem = Aig_MmFlexStart();
298 vTruth = Vec_IntAlloc( 1 << 16 );
299 vCover = Vec_IntAlloc( 1 << 16 );
300 vNodes = Nwk_ManDfs( pNtk );
301 Vec_PtrForEachEntry( Nwk_Obj_t *, vNodes, pObj, i )
302 {
303 if ( !Nwk_ObjIsNode(pObj) )
304 continue;
305 // derive SOP for the AIG
306 pTruth = Hop_ManConvertAigToTruth( pNtk->pManHop, Hop_Regular(pObj->pFunc), Nwk_ObjFaninNum(pObj), vTruth, 0 );
307 if ( Hop_IsComplement(pObj->pFunc) )
308 Kit_TruthNot( pTruth, pTruth, Nwk_ObjFaninNum(pObj) );
309 pSop = Kit_PlaFromTruth( pMem, pTruth, Nwk_ObjFaninNum(pObj), vCover );
310 // write the node
311 fprintf( pFile, ".names" );
312 if ( !Kit_TruthIsConst0(pTruth, Nwk_ObjFaninNum(pObj)) && !Kit_TruthIsConst1(pTruth, Nwk_ObjFaninNum(pObj)) )
313 {
314 Nwk_ObjForEachFanin( pObj, pFanin, k )
315 if ( vPiNames && Nwk_ObjIsPi(pFanin) )
316 fprintf( pFile, " %s", (char*)Vec_PtrEntry(vPiNames, Nwk_ObjPioNum(pFanin)) );
317 else
318 fprintf( pFile, " n%0*d", nDigits, pFanin->Id );
319 }
320 fprintf( pFile, " n%0*d\n", nDigits, pObj->Id );
321 // write the function
322 fprintf( pFile, "%s", pSop );
323 }
324 Vec_IntFree( vCover );
325 Vec_IntFree( vTruth );
326 Vec_PtrFree( vNodes );
327 Aig_MmFlexStop( pMem, 0 );
328 // write POs
329 Nwk_ManForEachCo( pNtk, pObj, i )
330 {
331 fprintf( pFile, ".names" );
332 if ( vPiNames && Nwk_ObjIsPi(Nwk_ObjFanin0(pObj)) )
333 fprintf( pFile, " %s", (char*)Vec_PtrEntry(vPiNames, Nwk_ObjPioNum(Nwk_ObjFanin0(pObj))) );
334 else
335 fprintf( pFile, " n%0*d", nDigits, Nwk_ObjFanin0(pObj)->Id );
336 if ( vPoNames )
337 fprintf( pFile, " %s\n", (char*)Vec_PtrEntry(vPoNames, Nwk_ObjPioNum(pObj)) );
338 else
339 fprintf( pFile, " n%0*d\n", nDigits, pObj->Id );
340 fprintf( pFile, "%d 1\n", !pObj->fInvert );
341 }
342 fprintf( pFile, ".end\n\n" );
343 fclose( pFile );
344}
345
358{
359 char Buffer[100];
360 Nwk_Obj_t * pNode;
361 Vec_Int_t * vFanins, * vFanouts;
362 int nFanins, nFanouts, nFaninsMax, nFanoutsMax, nFaninsAll, nFanoutsAll;
363 int i, k, nSizeMax;
364
365 // determine the largest fanin and fanout
366 nFaninsMax = nFanoutsMax = 0;
367 nFaninsAll = nFanoutsAll = 0;
368 Nwk_ManForEachNode( pNtk, pNode, i )
369 {
370 nFanins = Nwk_ObjFaninNum(pNode);
371 nFanouts = Nwk_ObjFanoutNum(pNode);
372 nFaninsAll += nFanins;
373 nFanoutsAll += nFanouts;
374 nFaninsMax = Abc_MaxInt( nFaninsMax, nFanins );
375 nFanoutsMax = Abc_MaxInt( nFanoutsMax, nFanouts );
376 }
377
378 // allocate storage for fanin/fanout numbers
379 nSizeMax = Abc_MaxInt( 10 * (Abc_Base10Log(nFaninsMax) + 1), 10 * (Abc_Base10Log(nFanoutsMax) + 1) );
380 vFanins = Vec_IntStart( nSizeMax );
381 vFanouts = Vec_IntStart( nSizeMax );
382
383 // count the number of fanins and fanouts
384 Nwk_ManForEachNode( pNtk, pNode, i )
385 {
386 nFanins = Nwk_ObjFaninNum(pNode);
387 nFanouts = Nwk_ObjFanoutNum(pNode);
388// nFanouts = Nwk_NodeMffcSize(pNode);
389
390 if ( nFanins < 10 )
391 Vec_IntAddToEntry( vFanins, nFanins, 1 );
392 else if ( nFanins < 100 )
393 Vec_IntAddToEntry( vFanins, 10 + nFanins/10, 1 );
394 else if ( nFanins < 1000 )
395 Vec_IntAddToEntry( vFanins, 20 + nFanins/100, 1 );
396 else if ( nFanins < 10000 )
397 Vec_IntAddToEntry( vFanins, 30 + nFanins/1000, 1 );
398 else if ( nFanins < 100000 )
399 Vec_IntAddToEntry( vFanins, 40 + nFanins/10000, 1 );
400 else if ( nFanins < 1000000 )
401 Vec_IntAddToEntry( vFanins, 50 + nFanins/100000, 1 );
402 else if ( nFanins < 10000000 )
403 Vec_IntAddToEntry( vFanins, 60 + nFanins/1000000, 1 );
404
405 if ( nFanouts < 10 )
406 Vec_IntAddToEntry( vFanouts, nFanouts, 1 );
407 else if ( nFanouts < 100 )
408 Vec_IntAddToEntry( vFanouts, 10 + nFanouts/10, 1 );
409 else if ( nFanouts < 1000 )
410 Vec_IntAddToEntry( vFanouts, 20 + nFanouts/100, 1 );
411 else if ( nFanouts < 10000 )
412 Vec_IntAddToEntry( vFanouts, 30 + nFanouts/1000, 1 );
413 else if ( nFanouts < 100000 )
414 Vec_IntAddToEntry( vFanouts, 40 + nFanouts/10000, 1 );
415 else if ( nFanouts < 1000000 )
416 Vec_IntAddToEntry( vFanouts, 50 + nFanouts/100000, 1 );
417 else if ( nFanouts < 10000000 )
418 Vec_IntAddToEntry( vFanouts, 60 + nFanouts/1000000, 1 );
419 }
420
421 printf( "The distribution of fanins and fanouts in the network:\n" );
422 printf( " Number Nodes with fanin Nodes with fanout\n" );
423 for ( k = 0; k < nSizeMax; k++ )
424 {
425 if ( vFanins->pArray[k] == 0 && vFanouts->pArray[k] == 0 )
426 continue;
427 if ( k < 10 )
428 printf( "%15d : ", k );
429 else
430 {
431 sprintf( Buffer, "%d - %d", (int)pow((double)10, k/10) * (k%10), (int)pow((double)10, k/10) * (k%10+1) - 1 );
432 printf( "%15s : ", Buffer );
433 }
434 if ( vFanins->pArray[k] == 0 )
435 printf( " " );
436 else
437 printf( "%12d ", vFanins->pArray[k] );
438 printf( " " );
439 if ( vFanouts->pArray[k] == 0 )
440 printf( " " );
441 else
442 printf( "%12d ", vFanouts->pArray[k] );
443 printf( "\n" );
444 }
445 Vec_IntFree( vFanins );
446 Vec_IntFree( vFanouts );
447
448 printf( "Fanins: Max = %d. Ave = %.2f. Fanouts: Max = %d. Ave = %.2f.\n",
449 nFaninsMax, 1.0*nFaninsAll/Nwk_ManNodeNum(pNtk),
450 nFanoutsMax, 1.0*nFanoutsAll/Nwk_ManNodeNum(pNtk) );
451}
452
465{
466 Nwk_Obj_t * pObj;
467 int i;
468 Nwk_ManForEachObj( pMan, pObj, i )
469 pObj->MarkA = pObj->MarkB = 0;
470}
471
483int Nwk_ManMinimumBaseNode( Nwk_Obj_t * pObj, Vec_Int_t * vTruth, int fVerbose )
484{
485 unsigned * pTruth;
486 Nwk_Obj_t * pFanin, * pObjNew;
487 Nwk_Man_t * pNtk = pObj->pMan;
488 int uSupp, nSuppSize, k, Counter = 0;
489 pTruth = Hop_ManConvertAigToTruth( pNtk->pManHop, Hop_Regular(pObj->pFunc), Nwk_ObjFaninNum(pObj), vTruth, 0 );
490 nSuppSize = Kit_TruthSupportSize(pTruth, Nwk_ObjFaninNum(pObj));
491 if ( nSuppSize == Nwk_ObjFaninNum(pObj) )
492 return 0;
493 Counter++;
494 uSupp = Kit_TruthSupport( pTruth, Nwk_ObjFaninNum(pObj) );
495 // create new node with the given support
496 pObjNew = Nwk_ManCreateNode( pNtk, nSuppSize, Nwk_ObjFanoutNum(pObj) );
497 Nwk_ObjForEachFanin( pObj, pFanin, k )
498 if ( uSupp & (1 << k) )
499 Nwk_ObjAddFanin( pObjNew, pFanin );
500 pObjNew->pFunc = Hop_Remap( pNtk->pManHop, pObj->pFunc, uSupp, Nwk_ObjFaninNum(pObj) );
501 if ( fVerbose )
502 printf( "Reducing node %d fanins from %d to %d.\n",
503 pObj->Id, Nwk_ObjFaninNum(pObj), Nwk_ObjFaninNum(pObjNew) );
504 Nwk_ObjReplace( pObj, pObjNew );
505 return 1;
506}
507
519int Nwk_ManMinimumBaseInt( Nwk_Man_t * pNtk, int fVerbose )
520{
521 Vec_Int_t * vTruth;
522 Nwk_Obj_t * pObj;
523 int i, Counter = 0;
524 vTruth = Vec_IntAlloc( 1 << 16 );
525 Nwk_ManForEachNode( pNtk, pObj, i )
526 Counter += Nwk_ManMinimumBaseNode( pObj, vTruth, fVerbose );
527 if ( fVerbose && Counter )
528 printf( "Support minimization reduced support of %d nodes.\n", Counter );
529 Vec_IntFree( vTruth );
530 return Counter;
531}
532
544void Nwk_ManMinimumBaseRec( Nwk_Man_t * pNtk, int fVerbose )
545{
546 int i;
547 abctime clk = Abc_Clock();
548 for ( i = 0; Nwk_ManMinimumBaseInt( pNtk, fVerbose ); i++ );
549 ABC_PRT( "Minbase", Abc_Clock() - clk );
550}
551
563void Nwk_ManMinimumBase( Nwk_Man_t * pNtk, int fVerbose )
564{
565 Vec_Int_t * vTruth;
566 Nwk_Obj_t * pObj;
567 int i, Counter = 0;
568 vTruth = Vec_IntAlloc( 1 << 16 );
569 Nwk_ManForEachNode( pNtk, pObj, i )
570 Counter += Nwk_ManMinimumBaseNode( pObj, vTruth, fVerbose );
571 if ( fVerbose && Counter )
572 printf( "Support minimization reduced support of %d nodes.\n", Counter );
573 Vec_IntFree( vTruth );
574}
575
587void Nwk_ManRemoveDupFaninsNode( Nwk_Obj_t * pObj, int iFan0, int iFan1, Vec_Int_t * vTruth )
588{
589 Hop_Man_t * pManHop = pObj->pMan->pManHop;
590// Nwk_Obj_t * pFanin0 = pObj->pFanio[iFan0];
591// Nwk_Obj_t * pFanin1 = pObj->pFanio[iFan1];
592 assert( pObj->pFanio[iFan0] == pObj->pFanio[iFan1] );
593 pObj->pFunc = Hop_Compose( pManHop, pObj->pFunc, Hop_IthVar(pManHop,iFan0), iFan1 );
594 Nwk_ManMinimumBaseNode( pObj, vTruth, 0 );
595}
596
608void Nwk_ManRemoveDupFanins( Nwk_Man_t * pNtk, int fVerbose )
609{
610 Vec_Int_t * vTruth;
611 Nwk_Obj_t * pObj;
612 int i, k, m, fFound;
613 // check if the nodes have duplicated fanins
614 vTruth = Vec_IntAlloc( 1 << 16 );
615 Nwk_ManForEachNode( pNtk, pObj, i )
616 {
617 fFound = 0;
618 for ( k = 0; k < pObj->nFanins; k++ )
619 {
620 for ( m = k + 1; m < pObj->nFanins; m++ )
621 if ( pObj->pFanio[k] == pObj->pFanio[m] )
622 {
623 if ( fVerbose )
624 printf( "Removing duplicated fanins of node %d (fanins %d and %d).\n",
625 pObj->Id, pObj->pFanio[k]->Id, pObj->pFanio[m]->Id );
626 Nwk_ManRemoveDupFaninsNode( pObj, k, m, vTruth );
627 fFound = 1;
628 break;
629 }
630 if ( fFound )
631 break;
632 }
633 }
634 Vec_IntFree( vTruth );
635// Nwk_ManMinimumBase( pNtk, fVerbose );
636}
637
641
642
644
ABC_INT64_T abctime
Definition abc_global.h:332
#define ABC_PRT(a, t)
Definition abc_global.h:255
#define ABC_NAMESPACE_IMPL_START
#define ABC_NAMESPACE_IMPL_END
void Aig_MmFlexStop(Aig_MmFlex_t *p, int fVerbose)
Definition aigMem.c:337
struct Aig_MmFlex_t_ Aig_MmFlex_t
Definition aig.h:53
Aig_MmFlex_t * Aig_MmFlexStart()
Definition aigMem.c:305
typedefABC_NAMESPACE_IMPL_START struct Vec_Int_t_ Vec_Int_t
DECLARATIONS ///.
Definition bblif.c:37
typedefABC_NAMESPACE_HEADER_START struct Hop_Man_t_ Hop_Man_t
INCLUDES ///.
Definition hop.h:49
Hop_Obj_t * Hop_Compose(Hop_Man_t *p, Hop_Obj_t *pRoot, Hop_Obj_t *pFunc, int iVar)
Definition hopDfs.c:415
Hop_Obj_t * Hop_IthVar(Hop_Man_t *p, int i)
FUNCTION DEFINITIONS ///.
Definition hopOper.c:63
Hop_Obj_t * Hop_Remap(Hop_Man_t *p, Hop_Obj_t *pRoot, unsigned uSupp, int nVars)
Definition hopDfs.c:518
int Hop_DagSize(Hop_Obj_t *pObj)
Definition hopDfs.c:279
unsigned * Hop_ManConvertAigToTruth(Hop_Man_t *p, Hop_Obj_t *pRoot, int nVars, Vec_Int_t *vTruth, int fMsbFirst)
Definition hopTruth.c:143
char * Kit_PlaFromTruth(void *p, unsigned *pTruth, int nVars, Vec_Int_t *vCover)
Definition kitPla.c:337
unsigned Kit_TruthSupport(unsigned *pTruth, int nVars)
Definition kitTruth.c:346
int Kit_TruthSupportSize(unsigned *pTruth, int nVars)
Definition kitTruth.c:327
struct Nwk_Man_t_ Nwk_Man_t
Definition ntlnwk.h:41
void Nwk_ManPrintFanioNew(Nwk_Man_t *pNtk)
Definition nwkUtil.c:357
int Nwk_ManPiNum(Nwk_Man_t *pNtk)
Definition nwkUtil.c:115
int Nwk_NodeCompareLevelsDecrease(Nwk_Obj_t **pp1, Nwk_Obj_t **pp2)
Definition nwkUtil.c:205
int Nwk_ManGetTotalFanins(Nwk_Man_t *pNtk)
Definition nwkUtil.c:94
int Nwk_ManGetAigNodeNum(Nwk_Man_t *pNtk)
Definition nwkUtil.c:155
void Nwk_ManRemoveDupFaninsNode(Nwk_Obj_t *pObj, int iFan0, int iFan1, Vec_Int_t *vTruth)
Definition nwkUtil.c:587
int Nwk_ManMinimumBaseNode(Nwk_Obj_t *pObj, Vec_Int_t *vTruth, int fVerbose)
Definition nwkUtil.c:483
int Nwk_ManGetFaninMax(Nwk_Man_t *pNtk)
Definition nwkUtil.c:71
ABC_NAMESPACE_IMPL_START void Nwk_ManIncrementTravId(Nwk_Man_t *pNtk)
DECLARATIONS ///.
Definition nwkUtil.c:47
int Nwk_ManPoNum(Nwk_Man_t *pNtk)
Definition nwkUtil.c:135
void Nwk_ManDumpBlif(Nwk_Man_t *pNtk, char *pFileName, Vec_Ptr_t *vPiNames, Vec_Ptr_t *vPoNames)
Definition nwkUtil.c:257
void Nwk_ManRemoveDupFanins(Nwk_Man_t *pNtk, int fVerbose)
Definition nwkUtil.c:608
void Nwk_ManCleanMarks(Nwk_Man_t *pMan)
Definition nwkUtil.c:464
void Nwk_ManMinimumBaseRec(Nwk_Man_t *pNtk, int fVerbose)
Definition nwkUtil.c:544
int Nwk_NodeCompareLevelsIncrease(Nwk_Obj_t **pp1, Nwk_Obj_t **pp2)
Definition nwkUtil.c:184
int Nwk_ManMinimumBaseInt(Nwk_Man_t *pNtk, int fVerbose)
Definition nwkUtil.c:519
void Nwk_ObjPrint(Nwk_Obj_t *pObj)
Definition nwkUtil.c:226
void Nwk_ManMinimumBase(Nwk_Man_t *pNtk, int fVerbose)
Definition nwkUtil.c:563
ABC_DLL Nwk_Obj_t * Nwk_ManCreateNode(Nwk_Man_t *pMan, int nFanins, int nFanouts)
Definition nwkObj.c:134
#define Nwk_ManForEachNode(p, pObj, i)
Definition nwk.h:192
#define Nwk_ManForEachCi(p, pObj, i)
ITERATORS ///.
Definition nwk.h:179
typedefABC_NAMESPACE_HEADER_START struct Nwk_Obj_t_ Nwk_Obj_t
INCLUDES ///.
Definition nwk.h:49
#define Nwk_ManForEachObj(p, pObj, i)
Definition nwk.h:189
#define Nwk_ObjForEachFanout(pObj, pFanout, i)
Definition nwk.h:201
ABC_DLL void Nwk_ObjAddFanin(Nwk_Obj_t *pObj, Nwk_Obj_t *pFanin)
Definition nwkFanio.c:165
ABC_DLL void Nwk_ObjReplace(Nwk_Obj_t *pNodeOld, Nwk_Obj_t *pNodeNew)
Definition nwkFanio.c:302
#define Nwk_ManForEachCo(p, pObj, i)
Definition nwk.h:181
ABC_DLL Vec_Ptr_t * Nwk_ManDfs(Nwk_Man_t *pNtk)
Definition nwkDfs.c:321
#define Nwk_ObjForEachFanin(pObj, pFanin, i)
Definition nwk.h:199
char * pName
Definition nwk.h:64
Hop_Man_t * pManHop
Definition nwk.h:73
int nTravIds
Definition nwk.h:78
#define assert(ex)
Definition util_old.h:213
char * sprintf()
typedefABC_NAMESPACE_HEADER_START struct Vec_Ptr_t_ Vec_Ptr_t
INCLUDES ///.
Definition vecPtr.h:42
#define Vec_PtrForEachEntry(Type, vVec, pEntry, i)
MACRO DEFINITIONS ///.
Definition vecPtr.h:55