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Geant4/externals/g4tools/include/tools/glutess/priorityq

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Differences between /externals/g4tools/include/tools/glutess/priorityq (Version 11.3.0) and /externals/g4tools/include/tools/glutess/priorityq (Version 11.1.1)


  1 // see license file for original license.           1 // see license file for original license.
  2                                                     2 
  3 #ifndef tools_glutess_priorityq                     3 #ifndef tools_glutess_priorityq
  4 #define tools_glutess_priorityq                     4 #define tools_glutess_priorityq
  5                                                     5 
  6 #include <climits>    /* LONG_MAX */                6 #include <climits>    /* LONG_MAX */
  7 #include "memalloc"                                 7 #include "memalloc"
  8                                                     8 
  9 /* Include all the code for the regular heap-b      9 /* Include all the code for the regular heap-based queue here. */
 10                                                    10 
 11 //////////////////////////////////////////////     11 /////////////////////////////////////////////////////////////////
 12 //#include "priorityq-heap.ic"                     12 //#include "priorityq-heap.ic"
 13 //#include "priorityq-heap"                        13 //#include "priorityq-heap"
 14                                                    14 
 15 /* Use #define's so that another heap implemen     15 /* Use #define's so that another heap implementation can use this one */
 16                                                    16 
 17 #define PQkey     PQHeapKey                        17 #define PQkey     PQHeapKey
 18 #define PQhandle    PQHeapHandle                   18 #define PQhandle    PQHeapHandle
 19 #define PriorityQ   PriorityQHeap                  19 #define PriorityQ   PriorityQHeap
 20                                                    20 
 21 #define pqNewPriorityQ(leq) __gl_pqHeapNewPrio     21 #define pqNewPriorityQ(leq) __gl_pqHeapNewPriorityQ(leq)
 22 #define pqDeletePriorityQ(pq) __gl_pqHeapDelet     22 #define pqDeletePriorityQ(pq) __gl_pqHeapDeletePriorityQ(pq)
 23                                                    23 
 24 /* The basic operations are insertion of a new     24 /* The basic operations are insertion of a new key (pqInsert),
 25  * and examination/extraction of a key whose v     25  * and examination/extraction of a key whose value is minimum
 26  * (pqMinimum/pqExtractMin).  Deletion is also     26  * (pqMinimum/pqExtractMin).  Deletion is also allowed (pqDelete);
 27  * for this purpose pqInsert returns a "handle     27  * for this purpose pqInsert returns a "handle" which is supplied
 28  * as the argument.                                28  * as the argument.
 29  *                                                 29  *
 30  * An initial heap may be created efficiently      30  * An initial heap may be created efficiently by calling pqInsert
 31  * repeatedly, then calling pqInit.  In any ca     31  * repeatedly, then calling pqInit.  In any case pqInit must be called
 32  * before any operations other than pqInsert a     32  * before any operations other than pqInsert are used.
 33  *                                                 33  *
 34  * If the heap is empty, pqMinimum/pqExtractMi     34  * If the heap is empty, pqMinimum/pqExtractMin will return a NULL key.
 35  * This may also be tested with pqIsEmpty.         35  * This may also be tested with pqIsEmpty.
 36  */                                                36  */
 37 #define pqInit(pq)    __gl_pqHeapInit(pq)          37 #define pqInit(pq)    __gl_pqHeapInit(pq)
 38 #define pqInsert(pq,key)  __gl_pqHeapInsert(pq     38 #define pqInsert(pq,key)  __gl_pqHeapInsert(pq,key)
 39 #define pqMinimum(pq)   __gl_pqHeapMinimum(pq)     39 #define pqMinimum(pq)   __gl_pqHeapMinimum(pq)
 40 #define pqExtractMin(pq)  __gl_pqHeapExtractMi     40 #define pqExtractMin(pq)  __gl_pqHeapExtractMin(pq)
 41 #define pqDelete(pq,handle) __gl_pqHeapDelete(     41 #define pqDelete(pq,handle) __gl_pqHeapDelete(pq,handle)
 42 #define pqIsEmpty(pq)   __gl_pqHeapIsEmpty(pq)     42 #define pqIsEmpty(pq)   __gl_pqHeapIsEmpty(pq)
 43                                                    43 
 44 /* Since we support deletion the data structur     44 /* Since we support deletion the data structure is a little more
 45  * complicated than an ordinary heap.  "nodes"     45  * complicated than an ordinary heap.  "nodes" is the heap itself;
 46  * active nodes are stored in the range 1..pq-     46  * active nodes are stored in the range 1..pq->size.  When the
 47  * heap exceeds its allocated size (pq->max),      47  * heap exceeds its allocated size (pq->max), its size doubles.
 48  * The children of node i are nodes 2i and 2i+     48  * The children of node i are nodes 2i and 2i+1.
 49  *                                                 49  *
 50  * Each node stores an index into an array "ha     50  * Each node stores an index into an array "handles".  Each handle
 51  * stores a key, plus a pointer back to the no     51  * stores a key, plus a pointer back to the node which currently
 52  * represents that key (ie. nodes[handles[i].n     52  * represents that key (ie. nodes[handles[i].node].handle == i).
 53  */                                                53  */
 54                                                    54 
 55 typedef void *PQkey;                               55 typedef void *PQkey;
 56 typedef long PQhandle;                             56 typedef long PQhandle;
 57 typedef struct PriorityQ PriorityQ;                57 typedef struct PriorityQ PriorityQ;
 58                                                    58 
 59 typedef struct { PQhandle handle; } PQnode;        59 typedef struct { PQhandle handle; } PQnode;
 60 typedef struct { PQkey key; PQhandle node; } P     60 typedef struct { PQkey key; PQhandle node; } PQhandleElem;
 61                                                    61 
 62 struct PriorityQ {                                 62 struct PriorityQ {
 63   PQnode  *nodes;                                  63   PQnode  *nodes;
 64   PQhandleElem  *handles;                          64   PQhandleElem  *handles;
 65   long    size, max;                               65   long    size, max;
 66   PQhandle  freeList;                              66   PQhandle  freeList;
 67   int   initialized;                               67   int   initialized;
 68   int   (*leq)(PQkey key1, PQkey key2);            68   int   (*leq)(PQkey key1, PQkey key2);
 69 };                                                 69 };
 70                                                    70   
 71 #define __gl_pqHeapMinimum(pq)  ((pq)->handles     71 #define __gl_pqHeapMinimum(pq)  ((pq)->handles[(pq)->nodes[1].handle].key)
 72 #define __gl_pqHeapIsEmpty(pq)  ((pq)->size ==     72 #define __gl_pqHeapIsEmpty(pq)  ((pq)->size == 0)
 73                                                    73 
 74 //////////////////////////////////////////////     74 /////////////////////////////////////////////////////////////////
 75 //////////////////////////////////////////////     75 /////////////////////////////////////////////////////////////////
 76 //#define INIT_SIZE 32                             76 //#define INIT_SIZE 32
 77 inline long INIT_SIZE() {                          77 inline long INIT_SIZE() {
 78   static const long s_value = 32;                  78   static const long s_value = 32;
 79   return s_value;                                  79   return s_value;
 80 }                                                  80 }
 81                                                    81 
 82 /* Violates modularity, but a little faster */     82 /* Violates modularity, but a little faster */
 83 #include "geom"                                    83 #include "geom"
 84 #define LEQ(x,y)  VertLeq((GLUvertex *)x, (GLU     84 #define LEQ(x,y)  VertLeq((GLUvertex *)x, (GLUvertex *)y)
 85                                                    85 
 86 /* really __gl_pqHeapNewPriorityQ */               86 /* really __gl_pqHeapNewPriorityQ */
 87 inline PriorityQ *pqNewPriorityQ( int (*leq)(P     87 inline PriorityQ *pqNewPriorityQ( int (*leq)(PQkey key1, PQkey key2) )
 88 {                                                  88 {
 89   PriorityQ *pq = (PriorityQ *)memAlloc( sizeo     89   PriorityQ *pq = (PriorityQ *)memAlloc( sizeof( PriorityQ ));
 90   if (pq == NULL) return NULL;                     90   if (pq == NULL) return NULL;
 91                                                    91 
 92   pq->size = 0;                                    92   pq->size = 0;
 93   pq->max = INIT_SIZE();                           93   pq->max = INIT_SIZE();
 94   pq->nodes = (PQnode *)memAlloc( (INIT_SIZE()     94   pq->nodes = (PQnode *)memAlloc( (INIT_SIZE() + 1) * sizeof(pq->nodes[0]) );
 95   if (pq->nodes == NULL) {                         95   if (pq->nodes == NULL) {
 96      memFree(pq);                                  96      memFree(pq);
 97      return NULL;                                  97      return NULL;
 98   }                                                98   }
 99                                                    99 
100   pq->handles = (PQhandleElem *)memAlloc( (INI    100   pq->handles = (PQhandleElem *)memAlloc( (INIT_SIZE() + 1) * sizeof(pq->handles[0]) );
101   if (pq->handles == NULL) {                      101   if (pq->handles == NULL) {
102      memFree(pq->nodes);                          102      memFree(pq->nodes);
103      memFree(pq);                                 103      memFree(pq);
104      return NULL;                                 104      return NULL;
105   }                                               105   }
106                                                   106 
107   pq->initialized = TOOLS_GLU_FALSE;              107   pq->initialized = TOOLS_GLU_FALSE;
108   pq->freeList = 0;                               108   pq->freeList = 0;
109   pq->leq = leq;                                  109   pq->leq = leq;
110                                                   110 
111   pq->nodes[1].handle = 1;  /* so that Minimum    111   pq->nodes[1].handle = 1;  /* so that Minimum() returns NULL */
112   pq->handles[1].key = NULL;                      112   pq->handles[1].key = NULL;
113   return pq;                                      113   return pq;
114 }                                                 114 }
115                                                   115 
116 /* really __gl_pqHeapDeletePriorityQ */           116 /* really __gl_pqHeapDeletePriorityQ */
117 inline void pqDeletePriorityQ( PriorityQ *pq )    117 inline void pqDeletePriorityQ( PriorityQ *pq )
118 {                                                 118 {
119   memFree( pq->handles );                         119   memFree( pq->handles );
120   memFree( pq->nodes );                           120   memFree( pq->nodes );
121   memFree( pq );                                  121   memFree( pq );
122 }                                                 122 }
123                                                   123 
124                                                   124 
125 inline/*static*/ void static_FloatDown( Priori    125 inline/*static*/ void static_FloatDown( PriorityQ *pq, long curr )
126 {                                                 126 {
127   PQnode *n = pq->nodes;                          127   PQnode *n = pq->nodes;
128   PQhandleElem *h = pq->handles;                  128   PQhandleElem *h = pq->handles;
129   PQhandle hCurr, hChild;                         129   PQhandle hCurr, hChild;
130   long child;                                     130   long child;
131                                                   131 
132   hCurr = n[curr].handle;                         132   hCurr = n[curr].handle;
133   for( ;; ) {                                     133   for( ;; ) {
134     child = curr << 1;                            134     child = curr << 1;
135     if( child < pq->size && LEQ( h[n[child+1].    135     if( child < pq->size && LEQ( h[n[child+1].handle].key,
136          h[n[child].handle].key )) {              136          h[n[child].handle].key )) {
137       ++child;                                    137       ++child;
138     }                                             138     }
139                                                   139 
140     assert(child <= pq->max);                     140     assert(child <= pq->max);
141                                                   141 
142     hChild = n[child].handle;                     142     hChild = n[child].handle;
143     if( child > pq->size || LEQ( h[hCurr].key,    143     if( child > pq->size || LEQ( h[hCurr].key, h[hChild].key )) {
144       n[curr].handle = hCurr;                     144       n[curr].handle = hCurr;
145       h[hCurr].node = curr;                       145       h[hCurr].node = curr;
146       break;                                      146       break;
147     }                                             147     }
148     n[curr].handle = hChild;                      148     n[curr].handle = hChild;
149     h[hChild].node = curr;                        149     h[hChild].node = curr;
150     curr = child;                                 150     curr = child;
151   }                                               151   }
152 }                                                 152 }
153                                                   153 
154                                                   154 
155 inline/*static*/ void static_FloatUp( Priority    155 inline/*static*/ void static_FloatUp( PriorityQ *pq, long curr )
156 {                                                 156 {
157   PQnode *n = pq->nodes;                          157   PQnode *n = pq->nodes;
158   PQhandleElem *h = pq->handles;                  158   PQhandleElem *h = pq->handles;
159   PQhandle hCurr, hParent;                        159   PQhandle hCurr, hParent;
160   long parent;                                    160   long parent;
161                                                   161 
162   hCurr = n[curr].handle;                         162   hCurr = n[curr].handle;
163   for( ;; ) {                                     163   for( ;; ) {
164     parent = curr >> 1;                           164     parent = curr >> 1;
165     hParent = n[parent].handle;                   165     hParent = n[parent].handle;
166     if( parent == 0 || LEQ( h[hParent].key, h[    166     if( parent == 0 || LEQ( h[hParent].key, h[hCurr].key )) {
167       n[curr].handle = hCurr;                     167       n[curr].handle = hCurr;
168       h[hCurr].node = curr;                       168       h[hCurr].node = curr;
169       break;                                      169       break;
170     }                                             170     }
171     n[curr].handle = hParent;                     171     n[curr].handle = hParent;
172     h[hParent].node = curr;                       172     h[hParent].node = curr;
173     curr = parent;                                173     curr = parent;
174   }                                               174   }
175 }                                                 175 }
176                                                   176 
177 /* really __gl_pqHeapInit */                      177 /* really __gl_pqHeapInit */
178 inline void pqInit( PriorityQ *pq )               178 inline void pqInit( PriorityQ *pq )
179 {                                                 179 {
180   long i;                                         180   long i;
181                                                   181 
182   /* This method of building a heap is O(n), r    182   /* This method of building a heap is O(n), rather than O(n lg n). */
183                                                   183 
184   for( i = pq->size; i >= 1; --i ) {              184   for( i = pq->size; i >= 1; --i ) {
185     static_FloatDown( pq, i );                    185     static_FloatDown( pq, i );
186   }                                               186   }
187   pq->initialized = TOOLS_GLU_TRUE;               187   pq->initialized = TOOLS_GLU_TRUE;
188 }                                                 188 }
189                                                   189 
190 /* really __gl_pqHeapInsert */                    190 /* really __gl_pqHeapInsert */
191 /* returns LONG_MAX iff out of memory */          191 /* returns LONG_MAX iff out of memory */
192 inline PQhandle pqInsert( PriorityQ *pq, PQkey    192 inline PQhandle pqInsert( PriorityQ *pq, PQkey keyNew )
193 {                                                 193 {
194   long curr;                                      194   long curr;
195   PQhandle free;                                  195   PQhandle free;
196                                                   196 
197   curr = ++ pq->size;                             197   curr = ++ pq->size;
198   if( (curr*2) > pq->max ) {                      198   if( (curr*2) > pq->max ) {
199     PQnode *saveNodes= pq->nodes;                 199     PQnode *saveNodes= pq->nodes;
200     PQhandleElem *saveHandles= pq->handles;       200     PQhandleElem *saveHandles= pq->handles;
201                                                   201 
202     /* If the heap overflows, double its size.    202     /* If the heap overflows, double its size. */
203     pq->max <<= 1;                                203     pq->max <<= 1;
204     pq->nodes = (PQnode *)memRealloc( pq->node    204     pq->nodes = (PQnode *)memRealloc( pq->nodes, 
205              (size_t)                             205              (size_t) 
206              ((pq->max + 1) * sizeof( pq->node    206              ((pq->max + 1) * sizeof( pq->nodes[0] )));
207     if (pq->nodes == NULL) {                      207     if (pq->nodes == NULL) {
208        pq->nodes = saveNodes; /* restore ptr t    208        pq->nodes = saveNodes; /* restore ptr to free upon return */
209        return LONG_MAX;                           209        return LONG_MAX;
210     }                                             210     }
211     pq->handles = (PQhandleElem *)memRealloc(     211     pq->handles = (PQhandleElem *)memRealloc( pq->handles,
212                            (size_t)               212                            (size_t)
213                             ((pq->max + 1) *      213                             ((pq->max + 1) * 
214                  sizeof( pq->handles[0] )));      214                  sizeof( pq->handles[0] )));
215     if (pq->handles == NULL) {                    215     if (pq->handles == NULL) {
216        pq->handles = saveHandles; /* restore p    216        pq->handles = saveHandles; /* restore ptr to free upon return */
217        return LONG_MAX;                           217        return LONG_MAX;
218     }                                             218     }
219   }                                               219   }
220                                                   220 
221   if( pq->freeList == 0 ) {                       221   if( pq->freeList == 0 ) {
222     free = curr;                                  222     free = curr;
223   } else {                                        223   } else {
224     free = pq->freeList;                          224     free = pq->freeList;
225     pq->freeList = pq->handles[free].node;        225     pq->freeList = pq->handles[free].node;
226   }                                               226   }
227                                                   227 
228   pq->nodes[curr].handle = free;                  228   pq->nodes[curr].handle = free;
229   pq->handles[free].node = curr;                  229   pq->handles[free].node = curr;
230   pq->handles[free].key = keyNew;                 230   pq->handles[free].key = keyNew;
231                                                   231 
232   if( pq->initialized ) {                         232   if( pq->initialized ) {
233     static_FloatUp( pq, curr );                   233     static_FloatUp( pq, curr );
234   }                                               234   }
235   assert(free != LONG_MAX);                       235   assert(free != LONG_MAX);
236   return free;                                    236   return free;
237 }                                                 237 }
238                                                   238 
239 /* really __gl_pqHeapExtractMin */                239 /* really __gl_pqHeapExtractMin */
240 inline PQkey pqExtractMin( PriorityQ *pq )        240 inline PQkey pqExtractMin( PriorityQ *pq )
241 {                                                 241 {
242   PQnode *n = pq->nodes;                          242   PQnode *n = pq->nodes;
243   PQhandleElem *h = pq->handles;                  243   PQhandleElem *h = pq->handles;
244   PQhandle hMin = n[1].handle;                    244   PQhandle hMin = n[1].handle;
245   PQkey min = h[hMin].key;                        245   PQkey min = h[hMin].key;
246                                                   246 
247   if( pq->size > 0 ) {                            247   if( pq->size > 0 ) {
248     n[1].handle = n[pq->size].handle;             248     n[1].handle = n[pq->size].handle;
249     h[n[1].handle].node = 1;                      249     h[n[1].handle].node = 1;
250                                                   250 
251     h[hMin].key = NULL;                           251     h[hMin].key = NULL;
252     h[hMin].node = pq->freeList;                  252     h[hMin].node = pq->freeList;
253     pq->freeList = hMin;                          253     pq->freeList = hMin;
254                                                   254 
255     if( -- pq->size > 0 ) {                       255     if( -- pq->size > 0 ) {
256       static_FloatDown( pq, 1 );                  256       static_FloatDown( pq, 1 );
257     }                                             257     }
258   }                                               258   }
259   return min;                                     259   return min;
260 }                                                 260 }
261                                                   261 
262 /* really __gl_pqHeapDelete */                    262 /* really __gl_pqHeapDelete */
263 inline void pqDelete( PriorityQ *pq, PQhandle     263 inline void pqDelete( PriorityQ *pq, PQhandle hCurr )
264 {                                                 264 {
265   PQnode *n = pq->nodes;                          265   PQnode *n = pq->nodes;
266   PQhandleElem *h = pq->handles;                  266   PQhandleElem *h = pq->handles;
267   long curr;                                      267   long curr;
268                                                   268 
269   assert( hCurr >= 1 && hCurr <= pq->max && h[    269   assert( hCurr >= 1 && hCurr <= pq->max && h[hCurr].key != NULL );
270                                                   270 
271   curr = h[hCurr].node;                           271   curr = h[hCurr].node;
272   n[curr].handle = n[pq->size].handle;            272   n[curr].handle = n[pq->size].handle;
273   h[n[curr].handle].node = curr;                  273   h[n[curr].handle].node = curr;
274                                                   274 
275   if( curr <= -- pq->size ) {                     275   if( curr <= -- pq->size ) {
276     if( curr <= 1 || LEQ( h[n[curr>>1].handle]    276     if( curr <= 1 || LEQ( h[n[curr>>1].handle].key, h[n[curr].handle].key )) {
277       static_FloatDown( pq, curr );               277       static_FloatDown( pq, curr );
278     } else {                                      278     } else {
279       static_FloatUp( pq, curr );                 279       static_FloatUp( pq, curr );
280     }                                             280     }
281   }                                               281   }
282   h[hCurr].key = NULL;                            282   h[hCurr].key = NULL;
283   h[hCurr].node = pq->freeList;                   283   h[hCurr].node = pq->freeList;
284   pq->freeList = hCurr;                           284   pq->freeList = hCurr;
285 }                                                 285 }
286                                                   286 
287 /* Now redefine all the function names to map     287 /* Now redefine all the function names to map to their "Sort" versions. */
288                                                   288 
289 //////////////////////////////////////////////    289 /////////////////////////////////////////////////////////////////
290 //#include "priorityq-sort"                       290 //#include "priorityq-sort"
291                                                   291 
292 #undef PQkey                                      292 #undef PQkey
293 #undef PQhandle                                   293 #undef PQhandle
294 #undef PriorityQ                                  294 #undef PriorityQ
295 #undef pqNewPriorityQ                             295 #undef pqNewPriorityQ
296 #undef pqDeletePriorityQ                          296 #undef pqDeletePriorityQ
297 #undef pqInit                                     297 #undef pqInit
298 #undef pqInsert                                   298 #undef pqInsert
299 #undef pqMinimum                                  299 #undef pqMinimum
300 #undef pqExtractMin                               300 #undef pqExtractMin
301 #undef pqDelete                                   301 #undef pqDelete
302 #undef pqIsEmpty                                  302 #undef pqIsEmpty
303                                                   303 
304 /* Use #define's so that another heap implemen    304 /* Use #define's so that another heap implementation can use this one */
305                                                   305 
306 #define PQkey     PQSortKey                       306 #define PQkey     PQSortKey
307 #define PQhandle    PQSortHandle                  307 #define PQhandle    PQSortHandle
308 #define PriorityQ   PriorityQSort                 308 #define PriorityQ   PriorityQSort
309                                                   309 
310 #define pqNewPriorityQ(leq) __gl_pqSortNewPrio    310 #define pqNewPriorityQ(leq) __gl_pqSortNewPriorityQ(leq)
311 #define pqDeletePriorityQ(pq) __gl_pqSortDelet    311 #define pqDeletePriorityQ(pq) __gl_pqSortDeletePriorityQ(pq)
312                                                   312 
313 /* The basic operations are insertion of a new    313 /* The basic operations are insertion of a new key (pqInsert),
314  * and examination/extraction of a key whose v    314  * and examination/extraction of a key whose value is minimum
315  * (pqMinimum/pqExtractMin).  Deletion is also    315  * (pqMinimum/pqExtractMin).  Deletion is also allowed (pqDelete);
316  * for this purpose pqInsert returns a "handle    316  * for this purpose pqInsert returns a "handle" which is supplied
317  * as the argument.                               317  * as the argument.
318  *                                                318  *
319  * An initial heap may be created efficiently     319  * An initial heap may be created efficiently by calling pqInsert
320  * repeatedly, then calling pqInit.  In any ca    320  * repeatedly, then calling pqInit.  In any case pqInit must be called
321  * before any operations other than pqInsert a    321  * before any operations other than pqInsert are used.
322  *                                                322  *
323  * If the heap is empty, pqMinimum/pqExtractMi    323  * If the heap is empty, pqMinimum/pqExtractMin will return a NULL key.
324  * This may also be tested with pqIsEmpty.        324  * This may also be tested with pqIsEmpty.
325  */                                               325  */
326 #define pqInit(pq)    __gl_pqSortInit(pq)         326 #define pqInit(pq)    __gl_pqSortInit(pq)
327 #define pqInsert(pq,key)  __gl_pqSortInsert(pq    327 #define pqInsert(pq,key)  __gl_pqSortInsert(pq,key)
328 #define pqMinimum(pq)   __gl_pqSortMinimum(pq)    328 #define pqMinimum(pq)   __gl_pqSortMinimum(pq)
329 #define pqExtractMin(pq)  __gl_pqSortExtractMi    329 #define pqExtractMin(pq)  __gl_pqSortExtractMin(pq)
330 #define pqDelete(pq,handle) __gl_pqSortDelete(    330 #define pqDelete(pq,handle) __gl_pqSortDelete(pq,handle)
331 #define pqIsEmpty(pq)   __gl_pqSortIsEmpty(pq)    331 #define pqIsEmpty(pq)   __gl_pqSortIsEmpty(pq)
332                                                   332 
333                                                   333 
334 /* Since we support deletion the data structur    334 /* Since we support deletion the data structure is a little more
335  * complicated than an ordinary heap.  "nodes"    335  * complicated than an ordinary heap.  "nodes" is the heap itself;
336  * active nodes are stored in the range 1..pq-    336  * active nodes are stored in the range 1..pq->size.  When the
337  * heap exceeds its allocated size (pq->max),     337  * heap exceeds its allocated size (pq->max), its size doubles.
338  * The children of node i are nodes 2i and 2i+    338  * The children of node i are nodes 2i and 2i+1.
339  *                                                339  *
340  * Each node stores an index into an array "ha    340  * Each node stores an index into an array "handles".  Each handle
341  * stores a key, plus a pointer back to the no    341  * stores a key, plus a pointer back to the node which currently
342  * represents that key (ie. nodes[handles[i].n    342  * represents that key (ie. nodes[handles[i].node].handle == i).
343  */                                               343  */
344                                                   344 
345 typedef PQHeapKey PQkey;                          345 typedef PQHeapKey PQkey;
346 typedef PQHeapHandle PQhandle;                    346 typedef PQHeapHandle PQhandle;
347 typedef struct PriorityQ PriorityQ;               347 typedef struct PriorityQ PriorityQ;
348                                                   348 
349 struct PriorityQ {                                349 struct PriorityQ {
350   PriorityQHeap *heap;                            350   PriorityQHeap *heap;
351   PQkey   *keys;                                  351   PQkey   *keys;
352   PQkey   **order;                                352   PQkey   **order;
353   PQhandle  size, max;                            353   PQhandle  size, max;
354   int   initialized;                              354   int   initialized;
355   int   (*leq)(PQkey key1, PQkey key2);           355   int   (*leq)(PQkey key1, PQkey key2);
356 };                                                356 };
357                                                   357   
358 /* really __gl_pqSortNewPriorityQ */              358 /* really __gl_pqSortNewPriorityQ */
359 inline PriorityQ *pqNewPriorityQ( int (*leq)(P    359 inline PriorityQ *pqNewPriorityQ( int (*leq)(PQkey key1, PQkey key2) )
360 {                                                 360 {
361   PriorityQ *pq = (PriorityQ *)memAlloc( sizeo    361   PriorityQ *pq = (PriorityQ *)memAlloc( sizeof( PriorityQ ));
362   if (pq == NULL) return NULL;                    362   if (pq == NULL) return NULL;
363                                                   363 
364   pq->heap = __gl_pqHeapNewPriorityQ( leq );      364   pq->heap = __gl_pqHeapNewPriorityQ( leq );
365   if (pq->heap == NULL) {                         365   if (pq->heap == NULL) {
366      memFree(pq);                                 366      memFree(pq);
367      return NULL;                                 367      return NULL;
368   }                                               368   }
369                                                   369 
370   pq->keys = (PQHeapKey *)memAlloc( INIT_SIZE(    370   pq->keys = (PQHeapKey *)memAlloc( INIT_SIZE() * sizeof(pq->keys[0]) );
371   if (pq->keys == NULL) {                         371   if (pq->keys == NULL) {
372      __gl_pqHeapDeletePriorityQ(pq->heap);        372      __gl_pqHeapDeletePriorityQ(pq->heap);
373      memFree(pq);                                 373      memFree(pq);
374      return NULL;                                 374      return NULL;
375   }                                               375   }
376                                                   376 
377   pq->size = 0;                                   377   pq->size = 0;
378   pq->max = INIT_SIZE();                          378   pq->max = INIT_SIZE();
379   pq->initialized = TOOLS_GLU_FALSE;              379   pq->initialized = TOOLS_GLU_FALSE;
380   pq->leq = leq;                                  380   pq->leq = leq;
381   return pq;                                      381   return pq;
382 }                                                 382 }
383                                                   383 
384 /* really __gl_pqSortDeletePriorityQ */           384 /* really __gl_pqSortDeletePriorityQ */
385 inline void pqDeletePriorityQ( PriorityQ *pq )    385 inline void pqDeletePriorityQ( PriorityQ *pq )
386 {                                                 386 {
387   assert(pq != NULL);                             387   assert(pq != NULL); 
388   if (pq->heap != NULL) __gl_pqHeapDeletePrior    388   if (pq->heap != NULL) __gl_pqHeapDeletePriorityQ( pq->heap );
389   if (pq->order != NULL) memFree( pq->order );    389   if (pq->order != NULL) memFree( pq->order );
390   if (pq->keys != NULL) memFree( pq->keys );      390   if (pq->keys != NULL) memFree( pq->keys );
391   memFree( pq );                                  391   memFree( pq );
392 }                                                 392 }
393                                                   393 
394                                                   394 
395 #define LT(x,y)   (! LEQ(y,x))                    395 #define LT(x,y)   (! LEQ(y,x))
396 #define GT(x,y)   (! LEQ(x,y))                    396 #define GT(x,y)   (! LEQ(x,y))
397 //#define pq_Swap(a,b)  if(1){PQkey *tmp = *a;    397 //#define pq_Swap(a,b)  if(1){PQkey *tmp = *a; *a = *b; *b = tmp;}else
398 #define pq_Swap(a,b)  do{PQkey *tmp = *a; *a =    398 #define pq_Swap(a,b)  do{PQkey *tmp = *a; *a = *b; *b = tmp;} while(false)
399                                                   399 
400 /* really __gl_pqSortInit */                      400 /* really __gl_pqSortInit */
401 inline int pqInit( PriorityQ *pq )                401 inline int pqInit( PriorityQ *pq )
402 {                                                 402 {
403   PQkey **p, **r, **i, **j, *piv;                 403   PQkey **p, **r, **i, **j, *piv;
404   struct { PQkey **p, **r; } Stack[50], *top =    404   struct { PQkey **p, **r; } Stack[50], *top = Stack;
405   unsigned long seed = 2016473283;                405   unsigned long seed = 2016473283;
406                                                   406 
407   /* Create an array of indirect pointers to t    407   /* Create an array of indirect pointers to the keys, so that we
408    * the handles we have returned are still va    408    * the handles we have returned are still valid.
409    */                                             409    */
410 /*                                                410 /*
411   pq->order = (PQHeapKey **)memAlloc( (size_t)    411   pq->order = (PQHeapKey **)memAlloc( (size_t)
412                                   (pq->size *     412                                   (pq->size * sizeof(pq->order[0])) );
413 */                                                413 */
414   pq->order = (PQHeapKey **)memAlloc( (size_t)    414   pq->order = (PQHeapKey **)memAlloc( (size_t)
415                                   ((pq->size+1    415                                   ((pq->size+1) * sizeof(pq->order[0])) );
416 /* the previous line is a patch to compensate     416 /* the previous line is a patch to compensate for the fact that IBM */
417 /* machines return a null on a malloc of zero     417 /* machines return a null on a malloc of zero bytes (unlike SGI),   */
418 /* so we have to put in this defense to guard     418 /* so we have to put in this defense to guard against a memory      */
419 /* fault four lines down. from fossum@austin.i    419 /* fault four lines down. from fossum@austin.ibm.com.               */
420   if (pq->order == NULL) return 0;                420   if (pq->order == NULL) return 0;
421                                                   421 
422   p = pq->order;                                  422   p = pq->order;
423   r = p + pq->size - 1;                           423   r = p + pq->size - 1;
424   for( piv = pq->keys, i = p; i <= r; ++piv, +    424   for( piv = pq->keys, i = p; i <= r; ++piv, ++i ) {
425     *i = piv;                                     425     *i = piv;
426   }                                               426   }
427                                                   427 
428   /* Sort the indirect pointers in descending     428   /* Sort the indirect pointers in descending order,
429    * using randomized Quicksort                   429    * using randomized Quicksort
430    */                                             430    */
431   top->p = p; top->r = r; ++top;                  431   top->p = p; top->r = r; ++top;
432   while( --top >= Stack ) {                       432   while( --top >= Stack ) {
433     p = top->p;                                   433     p = top->p;
434     r = top->r;                                   434     r = top->r;
435     while( r > p + 10 ) {                         435     while( r > p + 10 ) {
436       seed = seed * 1539415821 + 1;               436       seed = seed * 1539415821 + 1;
437       i = p + seed % (r - p + 1);                 437       i = p + seed % (r - p + 1);
438       piv = *i;                                   438       piv = *i;
439       *i = *p;                                    439       *i = *p;
440       *p = piv;                                   440       *p = piv;
441       i = p - 1;                                  441       i = p - 1;
442       j = r + 1;                                  442       j = r + 1;
443       do {                                        443       do {
444   do { ++i; } while( GT( **i, *piv ));            444   do { ++i; } while( GT( **i, *piv ));
445   do { --j; } while( LT( **j, *piv ));            445   do { --j; } while( LT( **j, *piv ));
446   pq_Swap( i, j );                                446   pq_Swap( i, j );
447       } while( i < j );                           447       } while( i < j );
448       pq_Swap( i, j );  /* Undo last swap */      448       pq_Swap( i, j );  /* Undo last swap */
449       if( i - p < r - j ) {                       449       if( i - p < r - j ) {
450   top->p = j+1; top->r = r; ++top;                450   top->p = j+1; top->r = r; ++top;
451   r = i-1;                                        451   r = i-1;
452       } else {                                    452       } else {
453   top->p = p; top->r = i-1; ++top;                453   top->p = p; top->r = i-1; ++top;
454   p = j+1;                                        454   p = j+1;
455       }                                           455       }
456     }                                             456     }
457     /* Insertion sort small lists */              457     /* Insertion sort small lists */
458     for( i = p+1; i <= r; ++i ) {                 458     for( i = p+1; i <= r; ++i ) {
459       piv = *i;                                   459       piv = *i;
460       for( j = i; j > p && LT( **(j-1), *piv )    460       for( j = i; j > p && LT( **(j-1), *piv ); --j ) {
461   *j = *(j-1);                                    461   *j = *(j-1);
462       }                                           462       }
463       *j = piv;                                   463       *j = piv;
464     }                                             464     }
465   }                                               465   }
466   pq->max = pq->size;                             466   pq->max = pq->size;
467   pq->initialized = TOOLS_GLU_TRUE;               467   pq->initialized = TOOLS_GLU_TRUE;
468   __gl_pqHeapInit( pq->heap );  /* always succ    468   __gl_pqHeapInit( pq->heap );  /* always succeeds */
469                                                   469 
470 #ifndef NDEBUG                                    470 #ifndef NDEBUG
471   p = pq->order;                                  471   p = pq->order;
472   r = p + pq->size - 1;                           472   r = p + pq->size - 1;
473   for( i = p; i < r; ++i ) {                      473   for( i = p; i < r; ++i ) {
474     assert( LEQ( **(i+1), **i ));                 474     assert( LEQ( **(i+1), **i ));
475   }                                               475   }
476 #endif                                            476 #endif
477                                                   477 
478   return 1;                                       478   return 1;
479 }                                                 479 }
480                                                   480 
481 /* really __gl_pqSortInsert */                    481 /* really __gl_pqSortInsert */
482 /* returns LONG_MAX iff out of memory */          482 /* returns LONG_MAX iff out of memory */ 
483 inline PQhandle pqInsert( PriorityQ *pq, PQkey    483 inline PQhandle pqInsert( PriorityQ *pq, PQkey keyNew )
484 {                                                 484 {
485   long curr;                                      485   long curr;
486                                                   486 
487   if( pq->initialized ) {                         487   if( pq->initialized ) {
488     return __gl_pqHeapInsert( pq->heap, keyNew    488     return __gl_pqHeapInsert( pq->heap, keyNew );
489   }                                               489   }
490   curr = pq->size;                                490   curr = pq->size;
491   if( ++ pq->size >= pq->max ) {                  491   if( ++ pq->size >= pq->max ) {
492     PQkey *saveKey= pq->keys;                     492     PQkey *saveKey= pq->keys;
493                                                   493 
494     /* If the heap overflows, double its size.    494     /* If the heap overflows, double its size. */
495     pq->max <<= 1;                                495     pq->max <<= 1;
496     pq->keys = (PQHeapKey *)memRealloc( pq->ke    496     pq->keys = (PQHeapKey *)memRealloc( pq->keys, 
497                             (size_t)              497                             (size_t)
498                                    (pq->max *     498                                    (pq->max * sizeof( pq->keys[0] )));
499     if (pq->keys == NULL) {                       499     if (pq->keys == NULL) { 
500        pq->keys = saveKey;  /* restore ptr to     500        pq->keys = saveKey;  /* restore ptr to free upon return */
501        return LONG_MAX;                           501        return LONG_MAX;
502     }                                             502     }
503   }                                               503   }
504   assert(curr != LONG_MAX);                       504   assert(curr != LONG_MAX); 
505   pq->keys[curr] = keyNew;                        505   pq->keys[curr] = keyNew;
506                                                   506 
507   /* Negative handles index the sorted array.     507   /* Negative handles index the sorted array. */
508   return -(curr+1);                               508   return -(curr+1);
509 }                                                 509 }
510                                                   510 
511 /* really __gl_pqSortExtractMin */                511 /* really __gl_pqSortExtractMin */
512 inline PQkey pqExtractMin( PriorityQ *pq )        512 inline PQkey pqExtractMin( PriorityQ *pq )
513 {                                                 513 {
514   PQkey sortMin, heapMin;                         514   PQkey sortMin, heapMin;
515                                                   515 
516   if( pq->size == 0 ) {                           516   if( pq->size == 0 ) {
517     return __gl_pqHeapExtractMin( pq->heap );     517     return __gl_pqHeapExtractMin( pq->heap );
518   }                                               518   }
519   sortMin = *(pq->order[pq->size-1]);             519   sortMin = *(pq->order[pq->size-1]);
520   if( ! __gl_pqHeapIsEmpty( pq->heap )) {         520   if( ! __gl_pqHeapIsEmpty( pq->heap )) {
521     heapMin = __gl_pqHeapMinimum( pq->heap );     521     heapMin = __gl_pqHeapMinimum( pq->heap );
522     if( LEQ( heapMin, sortMin )) {                522     if( LEQ( heapMin, sortMin )) {
523       return __gl_pqHeapExtractMin( pq->heap )    523       return __gl_pqHeapExtractMin( pq->heap );
524     }                                             524     }
525   }                                               525   }
526   do {                                            526   do {
527     -- pq->size;                                  527     -- pq->size;
528   } while( pq->size > 0 && *(pq->order[pq->siz    528   } while( pq->size > 0 && *(pq->order[pq->size-1]) == NULL );
529   return sortMin;                                 529   return sortMin;
530 }                                                 530 }
531                                                   531 
532 /* really __gl_pqSortMinimum */                   532 /* really __gl_pqSortMinimum */
533 inline PQkey pqMinimum( PriorityQ *pq )           533 inline PQkey pqMinimum( PriorityQ *pq )
534 {                                                 534 {
535   PQkey sortMin, heapMin;                         535   PQkey sortMin, heapMin;
536                                                   536 
537   if( pq->size == 0 ) {                           537   if( pq->size == 0 ) {
538     return __gl_pqHeapMinimum( pq->heap );        538     return __gl_pqHeapMinimum( pq->heap );
539   }                                               539   }
540   sortMin = *(pq->order[pq->size-1]);             540   sortMin = *(pq->order[pq->size-1]);
541   if( ! __gl_pqHeapIsEmpty( pq->heap )) {         541   if( ! __gl_pqHeapIsEmpty( pq->heap )) {
542     heapMin = __gl_pqHeapMinimum( pq->heap );     542     heapMin = __gl_pqHeapMinimum( pq->heap );
543     if( LEQ( heapMin, sortMin )) {                543     if( LEQ( heapMin, sortMin )) {
544       return heapMin;                             544       return heapMin;
545     }                                             545     }
546   }                                               546   }
547   return sortMin;                                 547   return sortMin;
548 }                                                 548 }
549                                                   549 
550 /* really __gl_pqSortIsEmpty */                   550 /* really __gl_pqSortIsEmpty */
551 inline int pqIsEmpty( PriorityQ *pq )             551 inline int pqIsEmpty( PriorityQ *pq )
552 {                                                 552 {
553   return (pq->size == 0) && __gl_pqHeapIsEmpty    553   return (pq->size == 0) && __gl_pqHeapIsEmpty( pq->heap );
554 }                                                 554 }
555                                                   555 
556 /* really __gl_pqSortDelete */                    556 /* really __gl_pqSortDelete */
557 inline void pqDelete( PriorityQ *pq, PQhandle     557 inline void pqDelete( PriorityQ *pq, PQhandle curr )
558 {                                                 558 {
559   if( curr >= 0 ) {                               559   if( curr >= 0 ) {
560     __gl_pqHeapDelete( pq->heap, curr );          560     __gl_pqHeapDelete( pq->heap, curr );
561     return;                                       561     return;
562   }                                               562   }
563   curr = -(curr+1);                               563   curr = -(curr+1);
564   assert( curr < pq->max && pq->keys[curr] !=     564   assert( curr < pq->max && pq->keys[curr] != NULL );
565                                                   565 
566   pq->keys[curr] = NULL;                          566   pq->keys[curr] = NULL;
567   while( pq->size > 0 && *(pq->order[pq->size-    567   while( pq->size > 0 && *(pq->order[pq->size-1]) == NULL ) {
568     -- pq->size;                                  568     -- pq->size;
569   }                                               569   }
570 }                                                 570 }
571                                                   571 
572 #endif                                            572 #endif