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<h1>pbori_routines_misc.h</h1><a href="pbori__routines__misc_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">// -*- c++ -*-</span>
<a name="l00002"></a>00002 <span class="comment">//*****************************************************************************</span>
<a name="l00143"></a>00143 <span class="comment"></span><span class="comment">//*****************************************************************************</span>
<a name="l00144"></a>00144
<a name="l00145"></a>00145 <span class="comment">// include basic definitions</span>
<a name="l00146"></a>00146 <span class="preprocessor">#include "<a class="code" href="pbori__defs_8h.html">pbori_defs.h</a>"</span>
<a name="l00147"></a>00147
<a name="l00148"></a>00148 <span class="comment">// temprarily</span>
<a name="l00149"></a>00149 <span class="preprocessor">#include "<a class="code" href="CIdxVariable_8h.html">CIdxVariable.h</a>"</span>
<a name="l00150"></a>00150
<a name="l00151"></a>00151 <span class="comment">// temprarily</span>
<a name="l00152"></a>00152 <span class="preprocessor">#include "<a class="code" href="CacheManager_8h.html">CacheManager.h</a>"</span>
<a name="l00153"></a>00153
<a name="l00154"></a>00154 <span class="preprocessor">#include "<a class="code" href="CDDOperations_8h.html">CDDOperations.h</a>"</span>
<a name="l00155"></a>00155
<a name="l00156"></a>00156 <a class="code" href="pbori__defs_8h.html#6ae360a591580558f31b6157ee792a10" title="Start project&#39;s namespace.">BEGIN_NAMESPACE_PBORI</a>
<a name="l00157"></a>00157
<a name="l00158"></a>00158 <span class="keyword">template</span><<span class="keyword">class</span> Iterator>
<a name="l00159"></a>00159 <span class="keyword">typename</span> Iterator::value_type
<a name="l00160"></a><a class="code" href="namespacepolybori.html#3aa5e73310d2cdf3649303097a82d3eb">00160</a> <a class="code" href="namespacepolybori.html#3aa5e73310d2cdf3649303097a82d3eb">index_vector_hash</a>(Iterator start, Iterator finish){
<a name="l00161"></a>00161
<a name="l00162"></a>00162 <span class="keyword">typedef</span> <span class="keyword">typename</span> Iterator::value_type value_type;
<a name="l00163"></a>00163
<a name="l00164"></a>00164 value_type vars = 0;
<a name="l00165"></a>00165 value_type sum = 0;
<a name="l00166"></a>00166
<a name="l00167"></a>00167 <span class="keywordflow">while</span> (start != finish){
<a name="l00168"></a>00168 vars++;
<a name="l00169"></a>00169 sum += ((*start)+1) * ((*start)+1);
<a name="l00170"></a>00170 ++start;
<a name="l00171"></a>00171 }
<a name="l00172"></a>00172 <span class="keywordflow">return</span> sum * vars;
<a name="l00173"></a>00173 }
<a name="l00174"></a>00174
<a name="l00177"></a>00177 <span class="keyword">template</span> <<span class="keyword">class</span> DegreeCacher, <span class="keyword">class</span> NaviType>
<a name="l00178"></a>00178 <span class="keyword">typename</span> NaviType::size_type
<a name="l00179"></a><a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">00179</a> <a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(<span class="keyword">const</span> DegreeCacher& cache, NaviType navi) {
<a name="l00180"></a>00180
<a name="l00181"></a>00181 <span class="keyword">typedef</span> <span class="keyword">typename</span> NaviType::size_type size_type;
<a name="l00182"></a>00182
<a name="l00183"></a>00183 <span class="keywordflow">if</span> (navi.isConstant()) <span class="comment">// No need for caching of constant nodes' degrees</span>
<a name="l00184"></a>00184 <span class="keywordflow">return</span> 0;
<a name="l00185"></a>00185
<a name="l00186"></a>00186 <span class="comment">// Look whether result was cached before</span>
<a name="l00187"></a>00187 <span class="keyword">typename</span> DegreeCacher::node_type result = cache.find(navi);
<a name="l00188"></a>00188 <span class="keywordflow">if</span> (result.isValid())
<a name="l00189"></a>00189 <span class="keywordflow">return</span> *result;
<a name="l00190"></a>00190
<a name="l00191"></a>00191 <span class="comment">// Get degree of then branch (contains at least one valid path)...</span>
<a name="l00192"></a>00192 size_type deg = <a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(cache, navi.thenBranch()) + 1;
<a name="l00193"></a>00193
<a name="l00194"></a>00194 <span class="comment">// ... combine with degree of else branch</span>
<a name="l00195"></a>00195 deg = std::max(deg, <a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(cache, navi.elseBranch()) );
<a name="l00196"></a>00196
<a name="l00197"></a>00197 <span class="comment">// Write result to cache</span>
<a name="l00198"></a>00198 cache.insert(navi, deg);
<a name="l00199"></a>00199
<a name="l00200"></a>00200 <span class="keywordflow">return</span> deg;
<a name="l00201"></a>00201 }
<a name="l00202"></a>00202
<a name="l00207"></a>00207 <span class="keyword">template</span> <<span class="keyword">class</span> DegreeCacher, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> SizeType>
<a name="l00208"></a>00208 <span class="keyword">typename</span> NaviType::size_type
<a name="l00209"></a><a class="code" href="namespacepolybori.html#56c5c8490b73dc6e6b41192088b5f692">00209</a> <a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(<span class="keyword">const</span> DegreeCacher& cache, NaviType navi, SizeType bound) {
<a name="l00210"></a>00210
<a name="l00211"></a>00211 <span class="keyword">typedef</span> <span class="keyword">typename</span> NaviType::size_type size_type;
<a name="l00212"></a>00212
<a name="l00213"></a>00213 <span class="comment">// No need for caching of constant nodes' degrees</span>
<a name="l00214"></a>00214 <span class="keywordflow">if</span> (bound == 0 || navi.isConstant())
<a name="l00215"></a>00215 <span class="keywordflow">return</span> 0;
<a name="l00216"></a>00216
<a name="l00217"></a>00217 <span class="comment">// Look whether result was cached before</span>
<a name="l00218"></a>00218 <span class="keyword">typename</span> DegreeCacher::node_type result = cache.find(navi);
<a name="l00219"></a>00219 <span class="keywordflow">if</span> (result.isValid())
<a name="l00220"></a>00220 <span class="keywordflow">return</span> *result;
<a name="l00221"></a>00221
<a name="l00222"></a>00222 <span class="comment">// Get degree of then branch (contains at least one valid path)...</span>
<a name="l00223"></a>00223 size_type deg = <a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(cache, navi.thenBranch(), bound - 1) + 1;
<a name="l00224"></a>00224
<a name="l00225"></a>00225 <span class="comment">// ... combine with degree of else branch</span>
<a name="l00226"></a>00226 <span class="keywordflow">if</span> (bound > deg) <span class="comment">// if deg <= bound, we are already finished</span>
<a name="l00227"></a>00227 deg = std::max(deg, <a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(cache, navi.elseBranch(), bound) );
<a name="l00228"></a>00228
<a name="l00229"></a>00229 <span class="comment">// Write result to cache</span>
<a name="l00230"></a>00230 cache.insert(navi, deg);
<a name="l00231"></a>00231
<a name="l00232"></a>00232 <span class="keywordflow">return</span> deg;
<a name="l00233"></a>00233 }
<a name="l00234"></a>00234
<a name="l00235"></a>00235 <span class="keyword">template</span> <<span class="keyword">class </span>Iterator, <span class="keyword">class </span>NameGenerator,
<a name="l00236"></a>00236 <span class="keyword">class </span>Separator, <span class="keyword">class </span>EmptySetType,
<a name="l00237"></a>00237 <span class="keyword">class </span>OStreamType>
<a name="l00238"></a>00238 <span class="keywordtype">void</span>
<a name="l00239"></a><a class="code" href="namespacepolybori.html#533ec22fb123df8821c8b554221621ad">00239</a> <a class="code" href="namespacepolybori.html#533ec22fb123df8821c8b554221621ad">dd_print_term</a>(Iterator start, Iterator finish, <span class="keyword">const</span> NameGenerator& get_name,
<a name="l00240"></a>00240 <span class="keyword">const</span> Separator& sep, <span class="keyword">const</span> EmptySetType& emptyset,
<a name="l00241"></a>00241 OStreamType& os){
<a name="l00242"></a>00242
<a name="l00243"></a>00243 <span class="keywordflow">if</span> (start != finish){
<a name="l00244"></a>00244 os << get_name(*start);
<a name="l00245"></a>00245 ++start;
<a name="l00246"></a>00246 }
<a name="l00247"></a>00247 <span class="keywordflow">else</span>
<a name="l00248"></a>00248 os << emptyset();
<a name="l00249"></a>00249
<a name="l00250"></a>00250 <span class="keywordflow">while</span> (start != finish){
<a name="l00251"></a>00251 os << sep() << get_name(*start);
<a name="l00252"></a>00252 ++start;
<a name="l00253"></a>00253 }
<a name="l00254"></a>00254 }
<a name="l00255"></a>00255
<a name="l00256"></a>00256 <span class="keyword">template</span> <<span class="keyword">class </span>TermType, <span class="keyword">class </span>NameGenerator,
<a name="l00257"></a>00257 <span class="keyword">class </span>Separator, <span class="keyword">class </span>EmptySetType,
<a name="l00258"></a>00258 <span class="keyword">class </span>OStreamType>
<a name="l00259"></a>00259 <span class="keywordtype">void</span>
<a name="l00260"></a><a class="code" href="namespacepolybori.html#ea50e5351a9c49f09a83cb507e77e99d">00260</a> <a class="code" href="namespacepolybori.html#533ec22fb123df8821c8b554221621ad">dd_print_term</a>(<span class="keyword">const</span> TermType& term, <span class="keyword">const</span> NameGenerator& get_name,
<a name="l00261"></a>00261 <span class="keyword">const</span> Separator& sep, <span class="keyword">const</span> EmptySetType& emptyset,
<a name="l00262"></a>00262 OStreamType& os){
<a name="l00263"></a>00263 <a class="code" href="namespacepolybori.html#533ec22fb123df8821c8b554221621ad">dd_print_term</a>(term.begin(), term.end(), get_name, sep, emptyset, os);
<a name="l00264"></a>00264 }
<a name="l00265"></a>00265
<a name="l00266"></a>00266
<a name="l00267"></a>00267 <span class="keyword">template</span> <<span class="keyword">class </span>Iterator, <span class="keyword">class </span>NameGenerator,
<a name="l00268"></a>00268 <span class="keyword">class </span>Separator, <span class="keyword">class </span>InnerSeparator,
<a name="l00269"></a>00269 <span class="keyword">class </span>EmptySetType, <span class="keyword">class </span>OStreamType>
<a name="l00270"></a>00270 <span class="keywordtype">void</span>
<a name="l00271"></a><a class="code" href="namespacepolybori.html#8951c207d9ea95a12159bb467a08d882">00271</a> <a class="code" href="namespacepolybori.html#8951c207d9ea95a12159bb467a08d882">dd_print_terms</a>(Iterator start, Iterator finish, <span class="keyword">const</span> NameGenerator& get_name,
<a name="l00272"></a>00272 <span class="keyword">const</span> Separator& sep, <span class="keyword">const</span> InnerSeparator& innersep,
<a name="l00273"></a>00273 <span class="keyword">const</span> EmptySetType& emptyset, OStreamType& os) {
<a name="l00274"></a>00274
<a name="l00275"></a>00275 <span class="keywordflow">if</span> (start != finish){
<a name="l00276"></a>00276 <a class="code" href="namespacepolybori.html#533ec22fb123df8821c8b554221621ad">dd_print_term</a>(*start, get_name, innersep, emptyset, os);
<a name="l00277"></a>00277 ++start;
<a name="l00278"></a>00278 }
<a name="l00279"></a>00279
<a name="l00280"></a>00280 <span class="keywordflow">while</span> (start != finish){
<a name="l00281"></a>00281 os << sep();
<a name="l00282"></a>00282 <a class="code" href="namespacepolybori.html#533ec22fb123df8821c8b554221621ad">dd_print_term</a>(*start, get_name, innersep, emptyset, os);
<a name="l00283"></a>00283 ++start;
<a name="l00284"></a>00284 }
<a name="l00285"></a>00285
<a name="l00286"></a>00286 }
<a name="l00287"></a>00287
<a name="l00288"></a>00288
<a name="l00289"></a>00289 <span class="keyword">template</span> <<span class="keyword">class</span> CacheType, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> PolyType>
<a name="l00290"></a>00290 PolyType
<a name="l00291"></a><a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">00291</a> <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(<span class="keyword">const</span> CacheType& cache_mgr,
<a name="l00292"></a>00292 NaviType firstNavi, NaviType secondNavi, PolyType init){
<a name="l00293"></a>00293 <span class="comment">// Extract subtypes</span>
<a name="l00294"></a>00294 <span class="keyword">typedef</span> <span class="keyword">typename</span> PolyType::dd_type dd_type;
<a name="l00295"></a>00295 <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">NaviType::idx_type</a> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">idx_type</a>;
<a name="l00296"></a>00296 <span class="keyword">typedef</span> NaviType navigator;
<a name="l00297"></a>00297
<a name="l00298"></a>00298 <span class="keywordflow">if</span> (firstNavi.isConstant()) {
<a name="l00299"></a>00299 <span class="keywordflow">if</span>(firstNavi.terminalValue())
<a name="l00300"></a>00300 <span class="keywordflow">return</span> cache_mgr.generate(secondNavi);
<a name="l00301"></a>00301 <span class="keywordflow">else</span>
<a name="l00302"></a>00302 <span class="keywordflow">return</span> cache_mgr.zero();
<a name="l00303"></a>00303 }
<a name="l00304"></a>00304
<a name="l00305"></a>00305 <span class="keywordflow">if</span> (secondNavi.isConstant()) {
<a name="l00306"></a>00306 <span class="keywordflow">if</span>(secondNavi.terminalValue())
<a name="l00307"></a>00307 <span class="keywordflow">return</span> cache_mgr.generate(firstNavi);
<a name="l00308"></a>00308 <span class="keywordflow">else</span>
<a name="l00309"></a>00309 <span class="keywordflow">return</span> cache_mgr.zero();
<a name="l00310"></a>00310 }
<a name="l00311"></a>00311 <span class="keywordflow">if</span> (firstNavi == secondNavi)
<a name="l00312"></a>00312 <span class="keywordflow">return</span> cache_mgr.generate(firstNavi);
<a name="l00313"></a>00313
<a name="l00314"></a>00314 <span class="comment">// Look up, whether operation was already used</span>
<a name="l00315"></a>00315 navigator cached = cache_mgr.find(firstNavi, secondNavi);
<a name="l00316"></a>00316 PolyType result = cache_mgr.zero();
<a name="l00317"></a>00317
<a name="l00318"></a>00318 <span class="keywordflow">if</span> (cached.isValid()) { <span class="comment">// Cache lookup sucessful</span>
<a name="l00319"></a>00319 <span class="keywordflow">return</span> cache_mgr.generate(cached);
<a name="l00320"></a>00320 }
<a name="l00321"></a>00321 <span class="keywordflow">else</span> { <span class="comment">// Cache lookup not sucessful</span>
<a name="l00322"></a>00322 <span class="comment">// Get top variable's index</span>
<a name="l00323"></a>00323
<a name="l00324"></a>00324 <span class="keywordflow">if</span> (*secondNavi < *firstNavi)
<a name="l00325"></a>00325 std::swap(firstNavi, secondNavi);
<a name="l00326"></a>00326
<a name="l00327"></a>00327 idx_type index = *firstNavi;
<a name="l00328"></a>00328
<a name="l00329"></a>00329 <span class="comment">// Get then- and else-branches wrt. current indexed variable</span>
<a name="l00330"></a>00330 navigator as0 = firstNavi.elseBranch();
<a name="l00331"></a>00331 navigator as1 = firstNavi.thenBranch();
<a name="l00332"></a>00332
<a name="l00333"></a>00333 navigator bs0;
<a name="l00334"></a>00334 navigator bs1;
<a name="l00335"></a>00335
<a name="l00336"></a>00336 <span class="keywordflow">if</span> (*secondNavi == index) {
<a name="l00337"></a>00337 bs0 = secondNavi.elseBranch();
<a name="l00338"></a>00338 bs1 = secondNavi.thenBranch();
<a name="l00339"></a>00339 }
<a name="l00340"></a>00340 <span class="keywordflow">else</span> {
<a name="l00341"></a>00341 bs0 = secondNavi;
<a name="l00342"></a>00342 bs1 = result.navigation();
<a name="l00343"></a>00343 }
<a name="l00344"></a>00344
<a name="l00345"></a>00345
<a name="l00346"></a>00346 <span class="preprocessor">#ifdef PBORI_FAST_MULTIPLICATION</span>
<a name="l00347"></a>00347 <span class="preprocessor"></span> <span class="keywordflow">if</span> (*firstNavi == *secondNavi) {
<a name="l00348"></a>00348
<a name="l00349"></a>00349 PolyType res00 = <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, as0, bs0, init);
<a name="l00350"></a>00350
<a name="l00351"></a>00351 PolyType res10 = PolyType(cache_mgr.generate(as1)) +
<a name="l00352"></a>00352 PolyType(cache_mgr.generate(as0));
<a name="l00353"></a>00353 PolyType res01 = PolyType(cache_mgr.generate(bs0)) +
<a name="l00354"></a>00354 PolyType(cache_mgr.generate(bs1));
<a name="l00355"></a>00355
<a name="l00356"></a>00356 PolyType res11 =
<a name="l00357"></a>00357 <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr,
<a name="l00358"></a>00358 res10.navigation(), res01.navigation(),
<a name="l00359"></a>00359 init) - res00;
<a name="l00360"></a>00360
<a name="l00361"></a>00361 result = dd_type(index, res11.diagram(), res00.diagram());
<a name="l00362"></a>00362 } <span class="keywordflow">else</span>
<a name="l00363"></a>00363 <span class="preprocessor">#endif</span>
<a name="l00364"></a>00364 <span class="preprocessor"></span> {
<a name="l00365"></a>00365 <span class="keywordtype">bool</span> as1_zero=<span class="keyword">false</span>;
<a name="l00366"></a>00366 <span class="keywordflow">if</span> (as0 == as1)
<a name="l00367"></a>00367 bs1 = result.navigation();
<a name="l00368"></a>00368 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (bs0 == bs1){
<a name="l00369"></a>00369 as1 = result.navigation();
<a name="l00370"></a>00370 as1_zero=<span class="keyword">true</span>;
<a name="l00371"></a>00371 }
<a name="l00372"></a>00372 <span class="comment">// Do recursion</span>
<a name="l00373"></a>00373 NaviType zero_ptr = result.navigation();
<a name="l00374"></a>00374
<a name="l00375"></a>00375 <span class="keywordflow">if</span> (as1_zero){
<a name="l00376"></a>00376 result = dd_type(index,
<a name="l00377"></a>00377 <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, as0, bs1,
<a name="l00378"></a>00378 init).diagram(),
<a name="l00379"></a>00379 <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, as0, bs0,
<a name="l00380"></a>00380 init).diagram() );
<a name="l00381"></a>00381 } <span class="keywordflow">else</span>{
<a name="l00382"></a>00382 PolyType bs01 = PolyType(cache_mgr.generate(bs0)) +
<a name="l00383"></a>00383 PolyType(cache_mgr.generate(bs1));
<a name="l00384"></a>00384 result = dd_type(index,
<a name="l00385"></a>00385 ( <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr,
<a name="l00386"></a>00386 bs01.navigation(),
<a name="l00387"></a>00387 as1, init) +
<a name="l00388"></a>00388 <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, as0, bs1, init)
<a name="l00389"></a>00389 ).diagram(),
<a name="l00390"></a>00390 <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr,
<a name="l00391"></a>00391 as0, bs0,
<a name="l00392"></a>00392 init).diagram()
<a name="l00393"></a>00393 );
<a name="l00394"></a>00394 }
<a name="l00395"></a>00395
<a name="l00396"></a>00396 }
<a name="l00397"></a>00397 <span class="comment">// Insert in cache</span>
<a name="l00398"></a>00398 cache_mgr.insert(firstNavi, secondNavi, result.navigation());
<a name="l00399"></a>00399 }
<a name="l00400"></a>00400
<a name="l00401"></a>00401 <span class="keywordflow">return</span> result;
<a name="l00402"></a>00402 }
<a name="l00403"></a>00403
<a name="l00404"></a>00404
<a name="l00405"></a>00405 <span class="keyword">template</span> <<span class="keyword">class </span>CacheType, <span class="keyword">class </span>NaviType, <span class="keyword">class </span>PolyType,
<a name="l00406"></a>00406 <span class="keyword">class </span>MonomTag>
<a name="l00407"></a>00407 PolyType
<a name="l00408"></a><a class="code" href="namespacepolybori.html#b23927d40dec3c58318bc56726295a14">00408</a> <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(<span class="keyword">const</span> CacheType& cache_mgr,
<a name="l00409"></a>00409 NaviType monomNavi, NaviType navi, PolyType init,
<a name="l00410"></a>00410 MonomTag monom_tag ){
<a name="l00411"></a>00411
<a name="l00412"></a>00412 <span class="comment">// Extract subtypes</span>
<a name="l00413"></a>00413 <span class="keyword">typedef</span> <span class="keyword">typename</span> PolyType::dd_type dd_type;
<a name="l00414"></a>00414 <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">NaviType::idx_type</a> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">idx_type</a>;
<a name="l00415"></a>00415 <span class="keyword">typedef</span> NaviType navigator;
<a name="l00416"></a>00416
<a name="l00417"></a>00417 <span class="keywordflow">if</span> (monomNavi.isConstant()) {
<a name="l00418"></a>00418 <span class="keywordflow">if</span>(monomNavi.terminalValue())
<a name="l00419"></a>00419 <span class="keywordflow">return</span> cache_mgr.generate(navi);
<a name="l00420"></a>00420 <span class="keywordflow">else</span>
<a name="l00421"></a>00421 <span class="keywordflow">return</span> cache_mgr.zero();
<a name="l00422"></a>00422 }
<a name="l00423"></a>00423
<a name="l00424"></a>00424 assert(monomNavi.elseBranch().isEmpty());
<a name="l00425"></a>00425
<a name="l00426"></a>00426 <span class="keywordflow">if</span> (navi.isConstant()) {
<a name="l00427"></a>00427 <span class="keywordflow">if</span>(navi.terminalValue())
<a name="l00428"></a>00428 <span class="keywordflow">return</span> cache_mgr.generate(monomNavi);
<a name="l00429"></a>00429 <span class="keywordflow">else</span>
<a name="l00430"></a>00430 <span class="keywordflow">return</span> cache_mgr.zero();
<a name="l00431"></a>00431 }
<a name="l00432"></a>00432 <span class="keywordflow">if</span> (monomNavi == navi)
<a name="l00433"></a>00433 <span class="keywordflow">return</span> cache_mgr.generate(monomNavi);
<a name="l00434"></a>00434
<a name="l00435"></a>00435 <span class="comment">// Look up, whether operation was already used</span>
<a name="l00436"></a>00436 navigator cached = cache_mgr.find(monomNavi, navi);
<a name="l00437"></a>00437
<a name="l00438"></a>00438 <span class="keywordflow">if</span> (cached.isValid()) { <span class="comment">// Cache lookup sucessful</span>
<a name="l00439"></a>00439 <span class="keywordflow">return</span> cache_mgr.generate(cached);
<a name="l00440"></a>00440 }
<a name="l00441"></a>00441
<a name="l00442"></a>00442 <span class="comment">// Cache lookup not sucessful</span>
<a name="l00443"></a>00443 <span class="comment">// Get top variables' index</span>
<a name="l00444"></a>00444
<a name="l00445"></a>00445 idx_type index = *navi;
<a name="l00446"></a>00446 idx_type monomIndex = *monomNavi;
<a name="l00447"></a>00447
<a name="l00448"></a>00448 <span class="keywordflow">if</span> (monomIndex < index) { <span class="comment">// Case: index may occure within monom</span>
<a name="l00449"></a>00449 init = <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, monomNavi.thenBranch(), navi,
<a name="l00450"></a>00450 init, monom_tag).diagram().change(monomIndex);
<a name="l00451"></a>00451 }
<a name="l00452"></a>00452 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (monomIndex == index) { <span class="comment">// Case: monom and poly start with same index</span>
<a name="l00453"></a>00453
<a name="l00454"></a>00454 <span class="comment">// Increment navigators</span>
<a name="l00455"></a>00455 navigator monomThen = monomNavi.thenBranch();
<a name="l00456"></a>00456 navigator naviThen = navi.thenBranch();
<a name="l00457"></a>00457 navigator naviElse = navi.elseBranch();
<a name="l00458"></a>00458
<a name="l00459"></a>00459 <span class="keywordflow">if</span> (naviThen != naviElse)
<a name="l00460"></a>00460 init = (<a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, monomThen, naviThen, init,
<a name="l00461"></a>00461 monom_tag)
<a name="l00462"></a>00462 + <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, monomThen, naviElse, init,
<a name="l00463"></a>00463 monom_tag)).diagram().change(index);
<a name="l00464"></a>00464 }
<a name="l00465"></a>00465 <span class="keywordflow">else</span> { <span class="comment">// Case: var(index) not part of monomial</span>
<a name="l00466"></a>00466
<a name="l00467"></a>00467 init =
<a name="l00468"></a>00468 dd_type(index,
<a name="l00469"></a>00469 <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, monomNavi, navi.thenBranch(),
<a name="l00470"></a>00470 init, monom_tag).diagram(),
<a name="l00471"></a>00471 <a class="code" href="namespacepolybori.html#22a0e96cd805d1b3b734d34a6d84359f">dd_multiply_recursively</a>(cache_mgr, monomNavi, navi.elseBranch(),
<a name="l00472"></a>00472 init, monom_tag).diagram() );
<a name="l00473"></a>00473 }
<a name="l00474"></a>00474
<a name="l00475"></a>00475 <span class="comment">// Insert in cache</span>
<a name="l00476"></a>00476 cache_mgr.insert(monomNavi, navi, init.navigation());
<a name="l00477"></a>00477
<a name="l00478"></a>00478 <span class="keywordflow">return</span> init;
<a name="l00479"></a>00479 }
<a name="l00480"></a>00480
<a name="l00481"></a>00481
<a name="l00482"></a>00482 <span class="keyword">template</span> <<span class="keyword">class</span> DDGenerator, <span class="keyword">class</span> Iterator, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> PolyType>
<a name="l00483"></a>00483 PolyType
<a name="l00484"></a><a class="code" href="namespacepolybori.html#fc41ffeb47799b69daa17f73bd048b77">00484</a> <a class="code" href="namespacepolybori.html#fc41ffeb47799b69daa17f73bd048b77">dd_multiply_recursively_exp</a>(<span class="keyword">const</span> DDGenerator& ddgen,
<a name="l00485"></a>00485 Iterator start, Iterator finish,
<a name="l00486"></a>00486 NaviType navi, PolyType init){
<a name="l00487"></a>00487 <span class="comment">// Extract subtypes</span>
<a name="l00488"></a>00488 <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">NaviType::idx_type</a> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">idx_type</a>;
<a name="l00489"></a>00489 <span class="keyword">typedef</span> <span class="keyword">typename</span> PolyType::dd_type dd_type;
<a name="l00490"></a>00490 <span class="keyword">typedef</span> NaviType navigator;
<a name="l00491"></a>00491
<a name="l00492"></a>00492 <span class="keywordflow">if</span> (start == finish)
<a name="l00493"></a>00493 <span class="keywordflow">return</span> ddgen.generate(navi);
<a name="l00494"></a>00494
<a name="l00495"></a>00495 PolyType result;
<a name="l00496"></a>00496 <span class="keywordflow">if</span> (navi.isConstant()) {
<a name="l00497"></a>00497 <span class="keywordflow">if</span>(navi.terminalValue()) {
<a name="l00498"></a>00498
<a name="l00499"></a>00499 std::reverse_iterator<Iterator> rstart(finish), rfinish(start);
<a name="l00500"></a>00500 result = ddgen.generate(navi);
<a name="l00501"></a>00501 <span class="keywordflow">while</span> (rstart != rfinish) {
<a name="l00502"></a>00502 result = result.diagram().change(*rstart);
<a name="l00503"></a>00503 ++rstart;
<a name="l00504"></a>00504 }
<a name="l00505"></a>00505 }
<a name="l00506"></a>00506 <span class="keywordflow">else</span>
<a name="l00507"></a>00507 <span class="keywordflow">return</span> ddgen.zero();
<a name="l00508"></a>00508
<a name="l00509"></a>00509 <span class="keywordflow">return</span> result;
<a name="l00510"></a>00510 }
<a name="l00511"></a>00511
<a name="l00512"></a>00512 <span class="comment">// Cache lookup not sucessful</span>
<a name="l00513"></a>00513 <span class="comment">// Get top variables' index</span>
<a name="l00514"></a>00514
<a name="l00515"></a>00515 idx_type index = *navi;
<a name="l00516"></a>00516 idx_type monomIndex = *start;
<a name="l00517"></a>00517
<a name="l00518"></a>00518 <span class="keywordflow">if</span> (monomIndex < index) { <span class="comment">// Case: index may occure within monom</span>
<a name="l00519"></a>00519
<a name="l00520"></a>00520 Iterator next(start);
<a name="l00521"></a>00521 <span class="keywordflow">while</span>( (next != finish) && (*next < index) )
<a name="l00522"></a>00522 ++next;
<a name="l00523"></a>00523
<a name="l00524"></a>00524 result = <a class="code" href="namespacepolybori.html#fc41ffeb47799b69daa17f73bd048b77">dd_multiply_recursively_exp</a>(ddgen, next, finish, navi, init);
<a name="l00525"></a>00525
<a name="l00526"></a>00526 std::reverse_iterator<Iterator> rstart(next), rfinish(start);
<a name="l00527"></a>00527 <span class="keywordflow">while</span> (rstart != rfinish) {
<a name="l00528"></a>00528 result = result.diagram().change(*rstart);
<a name="l00529"></a>00529 ++rstart;
<a name="l00530"></a>00530 }
<a name="l00531"></a>00531 }
<a name="l00532"></a>00532 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (monomIndex == index) { <span class="comment">// Case: monom and poly start with same index</span>
<a name="l00533"></a>00533
<a name="l00534"></a>00534 <span class="comment">// Increment navigators</span>
<a name="l00535"></a>00535 ++start;
<a name="l00536"></a>00536
<a name="l00537"></a>00537 navigator naviThen = navi.thenBranch();
<a name="l00538"></a>00538 navigator naviElse = navi.elseBranch();
<a name="l00539"></a>00539
<a name="l00540"></a>00540 <span class="keywordflow">if</span> (naviThen != naviElse)
<a name="l00541"></a>00541 result =(<a class="code" href="namespacepolybori.html#fc41ffeb47799b69daa17f73bd048b77">dd_multiply_recursively_exp</a>(ddgen, start, finish, naviThen, init)
<a name="l00542"></a>00542 + <a class="code" href="namespacepolybori.html#fc41ffeb47799b69daa17f73bd048b77">dd_multiply_recursively_exp</a>(ddgen, start, finish, naviElse,
<a name="l00543"></a>00543 init)).diagram().change(index);
<a name="l00544"></a>00544 }
<a name="l00545"></a>00545 <span class="keywordflow">else</span> { <span class="comment">// Case: var(index) not part of monomial</span>
<a name="l00546"></a>00546
<a name="l00547"></a>00547 result =
<a name="l00548"></a>00548 dd_type(index,
<a name="l00549"></a>00549 <a class="code" href="namespacepolybori.html#fc41ffeb47799b69daa17f73bd048b77">dd_multiply_recursively_exp</a>(ddgen, start, finish,
<a name="l00550"></a>00550 navi.thenBranch(), init).diagram(),
<a name="l00551"></a>00551 <a class="code" href="namespacepolybori.html#fc41ffeb47799b69daa17f73bd048b77">dd_multiply_recursively_exp</a>(ddgen, start, finish,
<a name="l00552"></a>00552 navi.elseBranch(), init).diagram() );
<a name="l00553"></a>00553 }
<a name="l00554"></a>00554
<a name="l00555"></a>00555 <span class="keywordflow">return</span> result;
<a name="l00556"></a>00556 }
<a name="l00557"></a>00557
<a name="l00558"></a>00558 <span class="keyword">template</span><<span class="keyword">class</span> DegCacheMgr, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> SizeType>
<a name="l00559"></a><a class="code" href="namespacepolybori.html#5365780965fdb8d59018edfce826ec62">00559</a> <span class="keywordtype">bool</span> <a class="code" href="namespacepolybori.html#5365780965fdb8d59018edfce826ec62">max_degree_on_then</a>(<span class="keyword">const</span> DegCacheMgr& deg_mgr, NaviType navi,
<a name="l00560"></a>00560 SizeType degree, <a class="code" href="structpolybori_1_1valid__tag.html" title="This class shows, whether a property of an order is valid.">valid_tag</a> is_descending) {
<a name="l00561"></a>00561 navi.incrementThen();
<a name="l00562"></a>00562 <span class="keywordflow">return</span> ((<a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(deg_mgr, navi, degree - 1) + 1) == degree);
<a name="l00563"></a>00563 }
<a name="l00564"></a>00564
<a name="l00565"></a>00565 <span class="keyword">template</span><<span class="keyword">class</span> DegCacheMgr, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> SizeType>
<a name="l00566"></a><a class="code" href="namespacepolybori.html#9e63e5c83ff8294cb73060d383d76472">00566</a> <span class="keywordtype">bool</span> <a class="code" href="namespacepolybori.html#5365780965fdb8d59018edfce826ec62">max_degree_on_then</a>(<span class="keyword">const</span> DegCacheMgr& deg_mgr, NaviType navi,
<a name="l00567"></a>00567 SizeType degree, <a class="code" href="structpolybori_1_1invalid__tag.html" title="This class shows, whether a property of an order is invalid.">invalid_tag</a> non_descending) {
<a name="l00568"></a>00568 navi.incrementElse();
<a name="l00569"></a>00569 <span class="keywordflow">return</span> (<a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(deg_mgr, navi, degree) != degree);
<a name="l00570"></a>00570 }
<a name="l00571"></a>00571
<a name="l00572"></a>00572
<a name="l00573"></a>00573 <span class="comment">// with degree bound</span>
<a name="l00574"></a>00574 <span class="keyword">template</span> <<span class="keyword">class </span>CacheType, <span class="keyword">class </span>DegCacheMgr, <span class="keyword">class </span>NaviType,
<a name="l00575"></a>00575 <span class="keyword">class </span>TermType, <span class="keyword">class </span>SizeType, <span class="keyword">class </span>DescendingProperty>
<a name="l00576"></a>00576 TermType
<a name="l00577"></a><a class="code" href="namespacepolybori.html#b1601a76391dd8f0fd4f2837e565b43b">00577</a> <a class="code" href="namespacepolybori.html#b1601a76391dd8f0fd4f2837e565b43b">dd_recursive_degree_lead</a>(<span class="keyword">const</span> CacheType& cache_mgr, <span class="keyword">const</span> DegCacheMgr&
<a name="l00578"></a>00578 deg_mgr,
<a name="l00579"></a>00579 NaviType navi, TermType init, SizeType degree,
<a name="l00580"></a>00580 DescendingProperty prop) {
<a name="l00581"></a>00581
<a name="l00582"></a>00582 <span class="keywordflow">if</span> ((degree == 0) || navi.isConstant())
<a name="l00583"></a>00583 <span class="keywordflow">return</span> cache_mgr.generate(navi);
<a name="l00584"></a>00584
<a name="l00585"></a>00585 <span class="comment">// Check cache for previous results</span>
<a name="l00586"></a>00586 NaviType cached = cache_mgr.find(navi);
<a name="l00587"></a>00587 <span class="keywordflow">if</span> (cached.isValid())
<a name="l00588"></a>00588 <span class="keywordflow">return</span> cache_mgr.generate(cached);
<a name="l00589"></a>00589
<a name="l00590"></a>00590 <span class="comment">// Go to next branch</span>
<a name="l00591"></a>00591 <span class="keywordflow">if</span> ( <a class="code" href="namespacepolybori.html#5365780965fdb8d59018edfce826ec62">max_degree_on_then</a>(deg_mgr, navi, degree, prop) ) {
<a name="l00592"></a>00592 NaviType then_branch = navi.thenBranch();
<a name="l00593"></a>00593 init = <a class="code" href="namespacepolybori.html#b1601a76391dd8f0fd4f2837e565b43b">dd_recursive_degree_lead</a>(cache_mgr, deg_mgr, then_branch,
<a name="l00594"></a>00594 init, degree - 1, prop);
<a name="l00595"></a>00595 <span class="keywordflow">if</span> ((navi.elseBranch().isEmpty()) && (init.navigation()==then_branch))
<a name="l00596"></a>00596 init = cache_mgr.generate(navi);
<a name="l00597"></a>00597 <span class="keywordflow">else</span>
<a name="l00598"></a>00598 init = init.change(*navi);
<a name="l00599"></a>00599
<a name="l00600"></a>00600 }
<a name="l00601"></a>00601 <span class="keywordflow">else</span> {
<a name="l00602"></a>00602 init = <a class="code" href="namespacepolybori.html#b1601a76391dd8f0fd4f2837e565b43b">dd_recursive_degree_lead</a>(cache_mgr, deg_mgr, navi.elseBranch(),
<a name="l00603"></a>00603 init, degree, prop);
<a name="l00604"></a>00604 }
<a name="l00605"></a>00605
<a name="l00606"></a>00606 NaviType resultNavi(init.navigation());
<a name="l00607"></a>00607 cache_mgr.insert(navi, resultNavi);
<a name="l00608"></a>00608 deg_mgr.insert(resultNavi, degree);
<a name="l00609"></a>00609
<a name="l00610"></a>00610 <span class="keywordflow">return</span> init;
<a name="l00611"></a>00611 }
<a name="l00612"></a>00612
<a name="l00613"></a>00613 <span class="keyword">template</span> <<span class="keyword">class </span>CacheType, <span class="keyword">class </span>DegCacheMgr, <span class="keyword">class </span>NaviType,
<a name="l00614"></a>00614 <span class="keyword">class </span>TermType, <span class="keyword">class </span>DescendingProperty>
<a name="l00615"></a>00615 TermType
<a name="l00616"></a><a class="code" href="namespacepolybori.html#5585c64684eaa745d07e5bd716abc2ba">00616</a> <a class="code" href="namespacepolybori.html#b1601a76391dd8f0fd4f2837e565b43b">dd_recursive_degree_lead</a>(<span class="keyword">const</span> CacheType& cache_mgr, <span class="keyword">const</span> DegCacheMgr& deg_mgr,
<a name="l00617"></a>00617 NaviType navi, TermType init, DescendingProperty prop){
<a name="l00618"></a>00618
<a name="l00619"></a>00619 <span class="keywordflow">if</span> (navi.isConstant())
<a name="l00620"></a>00620 <span class="keywordflow">return</span> cache_mgr.generate(navi);
<a name="l00621"></a>00621
<a name="l00622"></a>00622 <span class="keywordflow">return</span> <a class="code" href="namespacepolybori.html#b1601a76391dd8f0fd4f2837e565b43b">dd_recursive_degree_lead</a>(cache_mgr, deg_mgr, navi, init,
<a name="l00623"></a>00623 <a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(deg_mgr, navi), prop);
<a name="l00624"></a>00624 }
<a name="l00625"></a>00625
<a name="l00626"></a>00626 <span class="keyword">template</span> <<span class="keyword">class </span>CacheType, <span class="keyword">class </span>DegCacheMgr, <span class="keyword">class </span>NaviType,
<a name="l00627"></a>00627 <span class="keyword">class </span>TermType, <span class="keyword">class </span>SizeType, <span class="keyword">class </span>DescendingProperty>
<a name="l00628"></a>00628 TermType&
<a name="l00629"></a><a class="code" href="namespacepolybori.html#280291d41ef4ddc8a5ef4fceabc119f3">00629</a> <a class="code" href="namespacepolybori.html#280291d41ef4ddc8a5ef4fceabc119f3">dd_recursive_degree_leadexp</a>(<span class="keyword">const</span> CacheType& cache_mgr,
<a name="l00630"></a>00630 <span class="keyword">const</span> DegCacheMgr& deg_mgr,
<a name="l00631"></a>00631 NaviType navi, TermType& result,
<a name="l00632"></a>00632 SizeType degree,
<a name="l00633"></a>00633 DescendingProperty prop) {
<a name="l00634"></a>00634
<a name="l00635"></a>00635 <span class="keywordflow">if</span> ((degree == 0) || navi.isConstant())
<a name="l00636"></a>00636 <span class="keywordflow">return</span> result;
<a name="l00637"></a>00637
<a name="l00638"></a>00638 <span class="comment">// Check cache for previous result</span>
<a name="l00639"></a>00639 NaviType cached = cache_mgr.find(navi);
<a name="l00640"></a>00640 <span class="keywordflow">if</span> (cached.isValid())
<a name="l00641"></a>00641 <span class="keywordflow">return</span> result = result.multiplyFirst(cache_mgr.generate(cached));
<a name="l00642"></a>00642
<a name="l00643"></a>00643 <span class="comment">// Prepare next branch</span>
<a name="l00644"></a>00644 <span class="keywordflow">if</span> ( <a class="code" href="namespacepolybori.html#5365780965fdb8d59018edfce826ec62">max_degree_on_then</a>(deg_mgr, navi, degree, prop) ) {
<a name="l00645"></a>00645 result.push_back(*navi);
<a name="l00646"></a>00646 navi.incrementThen();
<a name="l00647"></a>00647 --degree;
<a name="l00648"></a>00648 }
<a name="l00649"></a>00649 <span class="keywordflow">else</span>
<a name="l00650"></a>00650 navi.incrementElse();
<a name="l00651"></a>00651
<a name="l00652"></a>00652 <span class="keywordflow">return</span>
<a name="l00653"></a>00653 <a class="code" href="namespacepolybori.html#280291d41ef4ddc8a5ef4fceabc119f3">dd_recursive_degree_leadexp</a>(cache_mgr, deg_mgr, navi, result, degree, prop);
<a name="l00654"></a>00654 }
<a name="l00655"></a>00655
<a name="l00656"></a>00656 <span class="keyword">template</span> <<span class="keyword">class </span>CacheType, <span class="keyword">class </span>DegCacheMgr, <span class="keyword">class </span>NaviType,
<a name="l00657"></a>00657 <span class="keyword">class </span>TermType, <span class="keyword">class </span>DescendingProperty>
<a name="l00658"></a>00658 TermType&
<a name="l00659"></a><a class="code" href="namespacepolybori.html#e91d5ae8f41cad0591f2a0942095b035">00659</a> <a class="code" href="namespacepolybori.html#280291d41ef4ddc8a5ef4fceabc119f3">dd_recursive_degree_leadexp</a>(<span class="keyword">const</span> CacheType& cache_mgr,
<a name="l00660"></a>00660 <span class="keyword">const</span> DegCacheMgr& deg_mgr,
<a name="l00661"></a>00661 NaviType navi, TermType& result,
<a name="l00662"></a>00662 DescendingProperty prop) {
<a name="l00663"></a>00663
<a name="l00664"></a>00664 <span class="keywordflow">if</span> (navi.isConstant())
<a name="l00665"></a>00665 <span class="keywordflow">return</span> result;
<a name="l00666"></a>00666
<a name="l00667"></a>00667 <span class="keywordflow">return</span> <a class="code" href="namespacepolybori.html#280291d41ef4ddc8a5ef4fceabc119f3">dd_recursive_degree_leadexp</a>(cache_mgr, deg_mgr, navi, result,
<a name="l00668"></a>00668 <a class="code" href="namespacepolybori.html#11073584b523f82b3febaac201b86365">dd_cached_degree</a>(deg_mgr, navi), prop);
<a name="l00669"></a>00669 }
<a name="l00670"></a>00670
<a name="l00671"></a>00671 <span class="comment">// Existential Abstraction. Given a ZDD F, and a set of variables</span>
<a name="l00672"></a>00672 <span class="comment">// S, remove all occurrences of s in S from any subset in F. This can</span>
<a name="l00673"></a>00673 <span class="comment">// be implemented by cofactoring F with respect to s = 1 and s = 0,</span>
<a name="l00674"></a>00674 <span class="comment">// then forming the union of these results. </span>
<a name="l00675"></a>00675
<a name="l00676"></a>00676
<a name="l00677"></a>00677 <span class="keyword">template</span> <<span class="keyword">class</span> CacheType, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> TermType>
<a name="l00678"></a>00678 TermType
<a name="l00679"></a><a class="code" href="namespacepolybori.html#06e2642e9e7ff6183dac970dc88bac79">00679</a> <a class="code" href="namespacepolybori.html#06e2642e9e7ff6183dac970dc88bac79">dd_existential_abstraction</a>(<span class="keyword">const</span> CacheType& cache_mgr,
<a name="l00680"></a>00680 NaviType varsNavi, NaviType navi, TermType init){
<a name="l00681"></a>00681
<a name="l00682"></a>00682 <span class="keyword">typedef</span> <span class="keyword">typename</span> TermType::dd_type dd_type;
<a name="l00683"></a>00683 <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">TermType::idx_type</a> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">idx_type</a>;
<a name="l00684"></a>00684
<a name="l00685"></a>00685 <span class="keywordflow">if</span> (navi.isConstant())
<a name="l00686"></a>00686 <span class="keywordflow">return</span> cache_mgr.generate(navi);
<a name="l00687"></a>00687
<a name="l00688"></a>00688 idx_type index(*navi);
<a name="l00689"></a>00689 <span class="keywordflow">while</span> (!varsNavi.isConstant() && ((*varsNavi) < index))
<a name="l00690"></a>00690 varsNavi.incrementThen();
<a name="l00691"></a>00691
<a name="l00692"></a>00692 <span class="keywordflow">if</span> (varsNavi.isConstant())
<a name="l00693"></a>00693 <span class="keywordflow">return</span> cache_mgr.generate(navi);
<a name="l00694"></a>00694
<a name="l00695"></a>00695 <span class="comment">// Check cache for previous result</span>
<a name="l00696"></a>00696 NaviType cached = cache_mgr.find(varsNavi, navi);
<a name="l00697"></a>00697 <span class="keywordflow">if</span> (cached.isValid())
<a name="l00698"></a>00698 <span class="keywordflow">return</span> cache_mgr.generate(cached);
<a name="l00699"></a>00699
<a name="l00700"></a>00700 NaviType thenNavi(navi.thenBranch()), elseNavi(navi.elseBranch());
<a name="l00701"></a>00701
<a name="l00702"></a>00702 TermType thenResult =
<a name="l00703"></a>00703 <a class="code" href="namespacepolybori.html#06e2642e9e7ff6183dac970dc88bac79">dd_existential_abstraction</a>(cache_mgr, varsNavi, thenNavi, init);
<a name="l00704"></a>00704
<a name="l00705"></a>00705 TermType elseResult =
<a name="l00706"></a>00706 <a class="code" href="namespacepolybori.html#06e2642e9e7ff6183dac970dc88bac79">dd_existential_abstraction</a>(cache_mgr, varsNavi, elseNavi, init);
<a name="l00707"></a>00707
<a name="l00708"></a>00708 <span class="keywordflow">if</span> ((*varsNavi) == index)
<a name="l00709"></a>00709 init = thenResult.unite(elseResult);
<a name="l00710"></a>00710 <span class="keywordflow">else</span> <span class="keywordflow">if</span> ( (thenResult.navigation() == thenNavi) &&
<a name="l00711"></a>00711 (elseResult.navigation() == elseNavi) )
<a name="l00712"></a>00712 init = cache_mgr.generate(navi);
<a name="l00713"></a>00713 <span class="keywordflow">else</span>
<a name="l00714"></a>00714 init = dd_type(index, thenResult, elseResult);
<a name="l00715"></a>00715
<a name="l00716"></a>00716 <span class="comment">// Insert result to cache</span>
<a name="l00717"></a>00717 cache_mgr.insert(varsNavi, navi, init.navigation());
<a name="l00718"></a>00718
<a name="l00719"></a>00719 <span class="keywordflow">return</span> init;
<a name="l00720"></a>00720 }
<a name="l00721"></a>00721
<a name="l00722"></a>00722
<a name="l00723"></a>00723
<a name="l00724"></a>00724 <span class="keyword">template</span> <<span class="keyword">class</span> CacheType, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> PolyType>
<a name="l00725"></a>00725 PolyType
<a name="l00726"></a><a class="code" href="namespacepolybori.html#9d5b2010f690cb8780331d5869912a3d">00726</a> <a class="code" href="namespacepolybori.html#9d5b2010f690cb8780331d5869912a3d">dd_divide_recursively</a>(<span class="keyword">const</span> CacheType& cache_mgr,
<a name="l00727"></a>00727 NaviType navi, NaviType monomNavi, PolyType init){
<a name="l00728"></a>00728
<a name="l00729"></a>00729 <span class="comment">// Extract subtypes</span>
<a name="l00730"></a>00730 <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">NaviType::idx_type</a> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">idx_type</a>;
<a name="l00731"></a>00731 <span class="keyword">typedef</span> NaviType navigator;
<a name="l00732"></a>00732 <span class="keyword">typedef</span> <span class="keyword">typename</span> PolyType::dd_type dd_type;
<a name="l00733"></a>00733
<a name="l00734"></a>00734 <span class="keywordflow">if</span> (monomNavi.isConstant()) {
<a name="l00735"></a>00735 <span class="keywordflow">if</span>(monomNavi.terminalValue())
<a name="l00736"></a>00736 <span class="keywordflow">return</span> cache_mgr.generate(navi);
<a name="l00737"></a>00737 <span class="keywordflow">else</span>
<a name="l00738"></a>00738 <span class="keywordflow">return</span> cache_mgr.zero();
<a name="l00739"></a>00739 }
<a name="l00740"></a>00740
<a name="l00741"></a>00741 assert(monomNavi.elseBranch().isEmpty());
<a name="l00742"></a>00742
<a name="l00743"></a>00743 <span class="keywordflow">if</span> (navi.isConstant())
<a name="l00744"></a>00744 <span class="keywordflow">return</span> cache_mgr.zero();
<a name="l00745"></a>00745
<a name="l00746"></a>00746 <span class="keywordflow">if</span> (monomNavi == navi)
<a name="l00747"></a>00747 <span class="keywordflow">return</span> cache_mgr.one();
<a name="l00748"></a>00748
<a name="l00749"></a>00749 <span class="comment">// Look up, whether operation was already used</span>
<a name="l00750"></a>00750 navigator cached = cache_mgr.find(navi, monomNavi);
<a name="l00751"></a>00751
<a name="l00752"></a>00752 <span class="keywordflow">if</span> (cached.isValid()) { <span class="comment">// Cache lookup sucessful</span>
<a name="l00753"></a>00753 <span class="keywordflow">return</span> cache_mgr.generate(cached);
<a name="l00754"></a>00754 }
<a name="l00755"></a>00755
<a name="l00756"></a>00756 <span class="comment">// Cache lookup not sucessful</span>
<a name="l00757"></a>00757 <span class="comment">// Get top variables' index</span>
<a name="l00758"></a>00758
<a name="l00759"></a>00759 idx_type index = *navi;
<a name="l00760"></a>00760 idx_type monomIndex = *monomNavi;
<a name="l00761"></a>00761
<a name="l00762"></a>00762 <span class="keywordflow">if</span> (monomIndex == index) { <span class="comment">// Case: monom and poly start with same index</span>
<a name="l00763"></a>00763
<a name="l00764"></a>00764 <span class="comment">// Increment navigators</span>
<a name="l00765"></a>00765 navigator monomThen = monomNavi.thenBranch();
<a name="l00766"></a>00766 navigator naviThen = navi.thenBranch();
<a name="l00767"></a>00767
<a name="l00768"></a>00768 init = <a class="code" href="namespacepolybori.html#9d5b2010f690cb8780331d5869912a3d">dd_divide_recursively</a>(cache_mgr, naviThen, monomThen, init);
<a name="l00769"></a>00769 }
<a name="l00770"></a>00770 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (monomIndex > index) { <span class="comment">// Case: monomIndex may occure within poly</span>
<a name="l00771"></a>00771
<a name="l00772"></a>00772 init =
<a name="l00773"></a>00773 dd_type(index,
<a name="l00774"></a>00774 <a class="code" href="namespacepolybori.html#9d5b2010f690cb8780331d5869912a3d">dd_divide_recursively</a>(cache_mgr, navi.thenBranch(), monomNavi,
<a name="l00775"></a>00775 init).diagram(),
<a name="l00776"></a>00776 <a class="code" href="namespacepolybori.html#9d5b2010f690cb8780331d5869912a3d">dd_divide_recursively</a>(cache_mgr, navi.elseBranch(), monomNavi,
<a name="l00777"></a>00777 init).diagram() );
<a name="l00778"></a>00778 }
<a name="l00779"></a>00779
<a name="l00780"></a>00780 <span class="comment">// Insert in cache</span>
<a name="l00781"></a>00781 cache_mgr.insert(navi, monomNavi, init.navigation());
<a name="l00782"></a>00782
<a name="l00783"></a>00783 <span class="keywordflow">return</span> init;
<a name="l00784"></a>00784 }
<a name="l00785"></a>00785
<a name="l00786"></a>00786
<a name="l00787"></a>00787
<a name="l00788"></a>00788 <span class="keyword">template</span> <<span class="keyword">class</span> DDGenerator, <span class="keyword">class</span> Iterator, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> PolyType>
<a name="l00789"></a>00789 PolyType
<a name="l00790"></a><a class="code" href="namespacepolybori.html#db03e7f6aeab9c254b3590112db7714a">00790</a> <a class="code" href="namespacepolybori.html#db03e7f6aeab9c254b3590112db7714a">dd_divide_recursively_exp</a>(<span class="keyword">const</span> DDGenerator& ddgen,
<a name="l00791"></a>00791 NaviType navi, Iterator start, Iterator finish,
<a name="l00792"></a>00792 PolyType init){
<a name="l00793"></a>00793
<a name="l00794"></a>00794 <span class="comment">// Extract subtypes</span>
<a name="l00795"></a>00795 <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">NaviType::idx_type</a> <a class="code" href="namespacepolybori_1_1groebner.html#ef37a95e97afbd561cc4c5f84d660765">idx_type</a>;
<a name="l00796"></a>00796 <span class="keyword">typedef</span> <span class="keyword">typename</span> PolyType::dd_type dd_type;
<a name="l00797"></a>00797 <span class="keyword">typedef</span> NaviType navigator;
<a name="l00798"></a>00798
<a name="l00799"></a>00799 <span class="keywordflow">if</span> (start == finish)
<a name="l00800"></a>00800 <span class="keywordflow">return</span> ddgen.generate(navi);
<a name="l00801"></a>00801
<a name="l00802"></a>00802 <span class="keywordflow">if</span> (navi.isConstant())
<a name="l00803"></a>00803 <span class="keywordflow">return</span> ddgen.zero();
<a name="l00804"></a>00804
<a name="l00805"></a>00805
<a name="l00806"></a>00806 <span class="comment">// Cache lookup not sucessful</span>
<a name="l00807"></a>00807 <span class="comment">// Get top variables' index</span>
<a name="l00808"></a>00808
<a name="l00809"></a>00809 idx_type index = *navi;
<a name="l00810"></a>00810 idx_type monomIndex = *start;
<a name="l00811"></a>00811
<a name="l00812"></a>00812 PolyType result;
<a name="l00813"></a>00813 <span class="keywordflow">if</span> (monomIndex == index) { <span class="comment">// Case: monom and poly start with same index</span>
<a name="l00814"></a>00814
<a name="l00815"></a>00815 <span class="comment">// Increment navigators</span>
<a name="l00816"></a>00816 ++start;
<a name="l00817"></a>00817 navigator naviThen = navi.thenBranch();
<a name="l00818"></a>00818
<a name="l00819"></a>00819 result = <a class="code" href="namespacepolybori.html#db03e7f6aeab9c254b3590112db7714a">dd_divide_recursively_exp</a>(ddgen, naviThen, start, finish, init);
<a name="l00820"></a>00820 }
<a name="l00821"></a>00821 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (monomIndex > index) { <span class="comment">// Case: monomIndex may occure within poly</span>
<a name="l00822"></a>00822
<a name="l00823"></a>00823 result =
<a name="l00824"></a>00824 dd_type(index,
<a name="l00825"></a>00825 <a class="code" href="namespacepolybori.html#db03e7f6aeab9c254b3590112db7714a">dd_divide_recursively_exp</a>(ddgen, navi.thenBranch(), start, finish,
<a name="l00826"></a>00826 init).diagram(),
<a name="l00827"></a>00827 <a class="code" href="namespacepolybori.html#db03e7f6aeab9c254b3590112db7714a">dd_divide_recursively_exp</a>(ddgen, navi.elseBranch(), start, finish,
<a name="l00828"></a>00828 init).diagram() );
<a name="l00829"></a>00829 }
<a name="l00830"></a>00830 <span class="keywordflow">else</span>
<a name="l00831"></a>00831 result = ddgen.zero();
<a name="l00832"></a>00832
<a name="l00833"></a>00833 <span class="keywordflow">return</span> result;
<a name="l00834"></a>00834 }
<a name="l00835"></a>00835
<a name="l00838"></a>00838 <span class="keyword">template</span> <<span class="keyword">class</span> CacheType, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> MonomType>
<a name="l00839"></a>00839 MonomType
<a name="l00840"></a><a class="code" href="namespacepolybori.html#dcd04d2da6906fb2b104820203802ea0">00840</a> <a class="code" href="namespacepolybori.html#dcd04d2da6906fb2b104820203802ea0">cached_used_vars</a>(<span class="keyword">const</span> CacheType& cache, NaviType navi, MonomType init) {
<a name="l00841"></a>00841
<a name="l00842"></a>00842 <span class="keywordflow">if</span> (navi.isConstant()) <span class="comment">// No need for caching of constant nodes' degrees</span>
<a name="l00843"></a>00843 <span class="keywordflow">return</span> init;
<a name="l00844"></a>00844
<a name="l00845"></a>00845 <span class="comment">// Look whether result was cached before</span>
<a name="l00846"></a>00846 NaviType cached_result = cache.find(navi);
<a name="l00847"></a>00847
<a name="l00848"></a>00848 <span class="keyword">typedef</span> <span class="keyword">typename</span> MonomType::poly_type poly_type;
<a name="l00849"></a>00849 <span class="keywordflow">if</span> (cached_result.isValid())
<a name="l00850"></a>00850 <span class="keywordflow">return</span> <a class="code" href="classpolybori_1_1CDDOperations.html">CDDOperations</a><<span class="keyword">typename</span> MonomType::dd_type,
<a name="l00851"></a>00851 MonomType>().getMonomial(cache.generate(cached_result));
<a name="l00852"></a>00852
<a name="l00853"></a>00853 MonomType result = <a class="code" href="namespacepolybori.html#dcd04d2da6906fb2b104820203802ea0">cached_used_vars</a>(cache, navi.thenBranch(), init);
<a name="l00854"></a>00854 result *= <a class="code" href="namespacepolybori.html#dcd04d2da6906fb2b104820203802ea0">cached_used_vars</a>(cache, navi.elseBranch(), init);
<a name="l00855"></a>00855
<a name="l00856"></a>00856 result.changeAssign(*navi);
<a name="l00857"></a>00857
<a name="l00858"></a>00858 <span class="comment">// Write result to cache</span>
<a name="l00859"></a>00859 cache.insert(navi, result.diagram().navigation());
<a name="l00860"></a>00860
<a name="l00861"></a>00861 <span class="keywordflow">return</span> result;
<a name="l00862"></a>00862 }
<a name="l00863"></a>00863
<a name="l00864"></a>00864 <span class="keyword">template</span> <<span class="keyword">class</span> NaviType, <span class="keyword">class</span> Iterator>
<a name="l00865"></a>00865 <span class="keywordtype">bool</span>
<a name="l00866"></a><a class="code" href="namespacepolybori.html#721132760de802e5de5c4c8e53ceabcf">00866</a> <a class="code" href="namespacepolybori.html#721132760de802e5de5c4c8e53ceabcf">dd_owns</a>(NaviType navi, Iterator start, Iterator finish) {
<a name="l00867"></a>00867
<a name="l00868"></a>00868 <span class="keywordflow">if</span> (start == finish) {
<a name="l00869"></a>00869 <span class="keywordflow">while</span>(!navi.isConstant())
<a name="l00870"></a>00870 navi.incrementElse();
<a name="l00871"></a>00871 <span class="keywordflow">return</span> navi.terminalValue();
<a name="l00872"></a>00872 }
<a name="l00873"></a>00873
<a name="l00874"></a>00874 <span class="keywordflow">while</span>(!navi.isConstant() && (*start > *navi) )
<a name="l00875"></a>00875 navi.incrementElse();
<a name="l00876"></a>00876
<a name="l00877"></a>00877 <span class="keywordflow">if</span> (navi.isConstant() || (*start != *navi))
<a name="l00878"></a>00878 <span class="keywordflow">return</span> <span class="keyword">false</span>;
<a name="l00879"></a>00879
<a name="l00880"></a>00880 <span class="keywordflow">return</span> <a class="code" href="namespacepolybori.html#721132760de802e5de5c4c8e53ceabcf">dd_owns</a>(navi.thenBranch(), ++start, finish);
<a name="l00881"></a>00881 }
<a name="l00882"></a>00882
<a name="l00883"></a>00883 <span class="comment">// determine the part of a polynomials of a given degree</span>
<a name="l00884"></a>00884 <span class="keyword">template</span> <<span class="keyword">class</span> CacheType, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> DegType, <span class="keyword">class</span> SetType>
<a name="l00885"></a>00885 SetType
<a name="l00886"></a><a class="code" href="namespacepolybori.html#41cf533e9730a8a912cc95dba2698dfb">00886</a> <a class="code" href="namespacepolybori.html#41cf533e9730a8a912cc95dba2698dfb">dd_graded_part</a>(<span class="keyword">const</span> CacheType& cache, NaviType navi, DegType deg,
<a name="l00887"></a>00887 SetType init) {
<a name="l00888"></a>00888
<a name="l00889"></a>00889
<a name="l00890"></a>00890 <span class="keywordflow">if</span> (deg == 0) {
<a name="l00891"></a>00891 <span class="keywordflow">while</span>(!navi.isConstant())
<a name="l00892"></a>00892 navi.incrementElse();
<a name="l00893"></a>00893 <span class="keywordflow">return</span> cache.generate(navi);
<a name="l00894"></a>00894 }
<a name="l00895"></a>00895
<a name="l00896"></a>00896 <span class="keywordflow">if</span>(navi.isConstant())
<a name="l00897"></a>00897 <span class="keywordflow">return</span> cache.zero();
<a name="l00898"></a>00898
<a name="l00899"></a>00899 <span class="comment">// Look whether result was cached before</span>
<a name="l00900"></a>00900 NaviType cached = cache.find(navi, deg);
<a name="l00901"></a>00901
<a name="l00902"></a>00902 <span class="keywordflow">if</span> (cached.isValid())
<a name="l00903"></a>00903 <span class="keywordflow">return</span> cache.generate(cached);
<a name="l00904"></a>00904
<a name="l00905"></a>00905 SetType result =
<a name="l00906"></a>00906 SetType(*navi,
<a name="l00907"></a>00907 <a class="code" href="namespacepolybori.html#41cf533e9730a8a912cc95dba2698dfb">dd_graded_part</a>(cache, navi.thenBranch(), deg - 1, init),
<a name="l00908"></a>00908 <a class="code" href="namespacepolybori.html#41cf533e9730a8a912cc95dba2698dfb">dd_graded_part</a>(cache, navi.elseBranch(), deg, init)
<a name="l00909"></a>00909 );
<a name="l00910"></a>00910
<a name="l00911"></a>00911 <span class="comment">// store result for later reuse</span>
<a name="l00912"></a>00912 cache.insert(navi, deg, result.navigation());
<a name="l00913"></a>00913
<a name="l00914"></a>00914 <span class="keywordflow">return</span> result;
<a name="l00915"></a>00915 }
<a name="l00916"></a>00916
<a name="l00917"></a>00917
<a name="l00922"></a>00922 <span class="keyword">template</span> <<span class="keyword">class</span> CacheManager, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> SetType>
<a name="l00923"></a>00923 SetType
<a name="l00924"></a><a class="code" href="namespacepolybori.html#fb5a6eb8fcb25e03a9c1c82bd60045fd">00924</a> <a class="code" href="namespacepolybori.html#fb5a6eb8fcb25e03a9c1c82bd60045fd">dd_first_divisors_of</a>(<a class="code" href="classpolybori_1_1CacheManager.html">CacheManager</a> cache_mgr, NaviType navi,
<a name="l00925"></a>00925 NaviType rhsNavi, SetType init ) {
<a name="l00926"></a>00926
<a name="l00927"></a>00927 <span class="keyword">typedef</span> <span class="keyword">typename</span> SetType::dd_type dd_type;
<a name="l00928"></a>00928 <span class="keywordflow">while</span>( (!navi.isConstant()) && (*rhsNavi != *navi) ) {
<a name="l00929"></a>00929
<a name="l00930"></a>00930 <span class="keywordflow">if</span> ( (*rhsNavi < *navi) && (!rhsNavi.isConstant()) )
<a name="l00931"></a>00931 rhsNavi.incrementThen();
<a name="l00932"></a>00932 <span class="keywordflow">else</span>
<a name="l00933"></a>00933 navi.incrementElse();
<a name="l00934"></a>00934 }
<a name="l00935"></a>00935
<a name="l00936"></a>00936 <span class="keywordflow">if</span> (navi.isConstant()) <span class="comment">// At end of path</span>
<a name="l00937"></a>00937 <span class="keywordflow">return</span> cache_mgr.generate(navi);
<a name="l00938"></a>00938
<a name="l00939"></a>00939 <span class="comment">// Look up, whether operation was already used</span>
<a name="l00940"></a>00940 NaviType result = cache_mgr.find(navi, rhsNavi);
<a name="l00941"></a>00941
<a name="l00942"></a>00942 <span class="keywordflow">if</span> (result.isValid()) <span class="comment">// Cache lookup sucessful</span>
<a name="l00943"></a>00943 <span class="keywordflow">return</span> cache_mgr.generate(result);
<a name="l00944"></a>00944
<a name="l00945"></a>00945 assert(*rhsNavi == *navi);
<a name="l00946"></a>00946
<a name="l00947"></a>00947 <span class="comment">// Compute new result</span>
<a name="l00948"></a>00948 init = dd_type(*rhsNavi,
<a name="l00949"></a>00949 <a class="code" href="namespacepolybori.html#fb5a6eb8fcb25e03a9c1c82bd60045fd">dd_first_divisors_of</a>(cache_mgr, navi.thenBranch(), rhsNavi,
<a name="l00950"></a>00950 init).diagram(),
<a name="l00951"></a>00951 <a class="code" href="namespacepolybori.html#fb5a6eb8fcb25e03a9c1c82bd60045fd">dd_first_divisors_of</a>(cache_mgr, navi.elseBranch(), rhsNavi,
<a name="l00952"></a>00952 init).diagram() );
<a name="l00953"></a>00953 <span class="comment">// Insert result to cache</span>
<a name="l00954"></a>00954 cache_mgr.insert(navi, rhsNavi, init.navigation());
<a name="l00955"></a>00955
<a name="l00956"></a>00956 <span class="keywordflow">return</span> init;
<a name="l00957"></a>00957 }
<a name="l00958"></a>00958
<a name="l00959"></a>00959 <span class="keyword">template</span> <<span class="keyword">class</span> CacheType, <span class="keyword">class</span> NaviType, <span class="keyword">class</span> SetType>
<a name="l00960"></a>00960 SetType
<a name="l00961"></a><a class="code" href="namespacepolybori.html#09033c4dd20314aabe518a8994be46ee">00961</a> <a class="code" href="namespacepolybori.html#09033c4dd20314aabe518a8994be46ee">dd_first_multiples_of</a>(<span class="keyword">const</span> CacheType& cache_mgr,
<a name="l00962"></a>00962 NaviType navi, NaviType rhsNavi, SetType init){
<a name="l00963"></a>00963
<a name="l00964"></a>00964 <span class="keyword">typedef</span> <span class="keyword">typename</span> SetType::dd_type dd_type;
<a name="l00965"></a>00965
<a name="l00966"></a>00966 <span class="keywordflow">if</span>(rhsNavi.isConstant())
<a name="l00967"></a>00967 <span class="keywordflow">if</span>(rhsNavi.terminalValue())
<a name="l00968"></a>00968 <span class="keywordflow">return</span> cache_mgr.generate(navi);
<a name="l00969"></a>00969 <span class="keywordflow">else</span>
<a name="l00970"></a>00970 <span class="keywordflow">return</span> cache_mgr.generate(rhsNavi);
<a name="l00971"></a>00971
<a name="l00972"></a>00972 <span class="keywordflow">if</span> (navi.isConstant() || (*navi > *rhsNavi))
<a name="l00973"></a>00973 <span class="keywordflow">return</span> cache_mgr.zero();
<a name="l00974"></a>00974
<a name="l00975"></a>00975 <span class="keywordflow">if</span> (*navi == *rhsNavi)
<a name="l00976"></a>00976 <span class="keywordflow">return</span> <a class="code" href="namespacepolybori.html#09033c4dd20314aabe518a8994be46ee">dd_first_multiples_of</a>(cache_mgr, navi.thenBranch(),
<a name="l00977"></a>00977 rhsNavi.thenBranch(), init).<a class="code" href="classchange.html" title="Accessing .change().">change</a>(*navi);
<a name="l00978"></a>00978
<a name="l00979"></a>00979 <span class="comment">// Look up old result - if any</span>
<a name="l00980"></a>00980 NaviType result = cache_mgr.find(navi, rhsNavi);
<a name="l00981"></a>00981
<a name="l00982"></a>00982 <span class="keywordflow">if</span> (result.isValid())
<a name="l00983"></a>00983 <span class="keywordflow">return</span> cache_mgr.generate(result);
<a name="l00984"></a>00984
<a name="l00985"></a>00985 <span class="comment">// Compute new result</span>
<a name="l00986"></a>00986 init = dd_type(*navi,
<a name="l00987"></a>00987 <a class="code" href="namespacepolybori.html#09033c4dd20314aabe518a8994be46ee">dd_first_multiples_of</a>(cache_mgr, navi.thenBranch(),
<a name="l00988"></a>00988 rhsNavi, init).diagram(),
<a name="l00989"></a>00989 <a class="code" href="namespacepolybori.html#09033c4dd20314aabe518a8994be46ee">dd_first_multiples_of</a>(cache_mgr, navi.elseBranch(),
<a name="l00990"></a>00990 rhsNavi, init).diagram() );
<a name="l00991"></a>00991
<a name="l00992"></a>00992 <span class="comment">// Insert new result in cache</span>
<a name="l00993"></a>00993 cache_mgr.insert(navi, rhsNavi, init.navigation());
<a name="l00994"></a>00994
<a name="l00995"></a>00995 <span class="keywordflow">return</span> init;
<a name="l00996"></a>00996 }
<a name="l00997"></a>00997
<a name="l00998"></a>00998
<a name="l00999"></a>00999 <a class="code" href="pbori__defs_8h.html#faf094fde6c1a7f1aad18bcb455f3b06" title="Finish project&#39;s namespace.">END_NAMESPACE_PBORI</a>
</pre></div></div>
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