]> www.ginac.de Git - ginac.git/blobdiff - ginac/expairseq.cpp
Transform abs(x)^n => x^n if x is real and n is even.
[ginac.git] / ginac / expairseq.cpp
index 3ed9e2892a23040c8bbb8e2ce4bf3ebfed36705f..7c6e5223653889730407aa0fd5a246417cc06f6d 100644 (file)
@@ -3,7 +3,7 @@
  *  Implementation of sequences of expression pairs. */
 
 /*
- *  GiNaC Copyright (C) 1999-2008 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2011 Johannes Gutenberg University Mainz, Germany
  *
  *  This program is free software; you can redistribute it and/or modify
  *  it under the terms of the GNU General Public License as published by
  *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
  */
 
-#include <iostream>
-#include <algorithm>
-#include <string>
-#include <stdexcept>
-#include <iterator>
-
 #include "expairseq.h"
 #include "lst.h"
 #include "add.h"
 #include "archive.h"
 #include "operators.h"
 #include "utils.h"
+#include "hash_seed.h"
 #include "indexed.h"
 
+#include <algorithm>
 #if EXPAIRSEQ_USE_HASHTAB
 #include <cmath>
 #endif // EXPAIRSEQ_USE_HASHTAB
+#include <iostream>
+#include <iterator>
+#include <stdexcept>
+#include <string>
 
 namespace GiNaC {
 
@@ -69,9 +69,9 @@ public:
 
 // public
 
-expairseq::expairseq() : inherited(&expairseq::tinfo_static)
+expairseq::expairseq() 
 #if EXPAIRSEQ_USE_HASHTAB
-                                                   , hashtabsize(0)
+       : hashtabsize(0)
 #endif // EXPAIRSEQ_USE_HASHTAB
 {}
 
@@ -108,20 +108,20 @@ void expairseq::copy(const expairseq &other)
 // other constructors
 //////////
 
-expairseq::expairseq(const ex &lh, const ex &rh) : inherited(&expairseq::tinfo_static)
+expairseq::expairseq(const ex &lh, const ex &rh)
 {
        construct_from_2_ex(lh,rh);
        GINAC_ASSERT(is_canonical());
 }
 
-expairseq::expairseq(const exvector &v) : inherited(&expairseq::tinfo_static)
+expairseq::expairseq(const exvector &v)
 {
        construct_from_exvector(v);
        GINAC_ASSERT(is_canonical());
 }
 
 expairseq::expairseq(const epvector &v, const ex &oc, bool do_index_renaming)
-  : inherited(&expairseq::tinfo_static), overall_coeff(oc)
+  :  overall_coeff(oc)
 {
        GINAC_ASSERT(is_a<numeric>(oc));
        construct_from_epvector(v, do_index_renaming);
@@ -129,7 +129,7 @@ expairseq::expairseq(const epvector &v, const ex &oc, bool do_index_renaming)
 }
 
 expairseq::expairseq(std::auto_ptr<epvector> vp, const ex &oc, bool do_index_renaming)
-  : inherited(&expairseq::tinfo_static), overall_coeff(oc)
+  :  overall_coeff(oc)
 {
        GINAC_ASSERT(vp.get()!=0);
        GINAC_ASSERT(is_a<numeric>(oc));
@@ -141,11 +141,9 @@ expairseq::expairseq(std::auto_ptr<epvector> vp, const ex &oc, bool do_index_ren
 // archiving
 //////////
 
-expairseq::expairseq(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst)
-#if EXPAIRSEQ_USE_HASHTAB
-       , hashtabsize(0)
-#endif
+void expairseq::read_archive(const archive_node &n, lst &sym_lst) 
 {
+       inherited::read_archive(n, sym_lst);
        archive_node::archive_node_cit first = n.find_first("rest");
        archive_node::archive_node_cit last = n.find_last("coeff");
        ++last;
@@ -177,7 +175,6 @@ void expairseq::archive(archive_node &n) const
        n.add_ex("overall_coeff", overall_coeff);
 }
 
-DEFAULT_UNARCHIVE(expairseq)
 
 //////////
 // functions overriding virtual functions from base classes
@@ -374,29 +371,16 @@ ex expairseq::conjugate() const
                return *this;
        }
        ex result = thisexpairseq(newepv ? *newepv : seq, x);
-       if (newepv) {
-               delete newepv;
-       }
+       delete newepv;
        return result;
 }
 
-bool expairseq::is_polynomial(const ex & var) const
-{
-       if (!is_exactly_a<add>(*this) && !is_exactly_a<mul>(*this))
-               return basic::is_polynomial(var);
-       for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) {
-               if (!(i->rest).is_polynomial(var))
-                       return false;
-       }
-       return true;
-}
-
-bool expairseq::match(const ex & pattern, lst & repl_lst) const
+bool expairseq::match(const ex & pattern, exmap & repl_lst) const
 {
        // This differs from basic::match() because we want "a+b+c+d" to
        // match "d+*+b" with "*" being "a+c", and we want to honor commutativity
 
-       if (this->tinfo() == ex_to<basic>(pattern).tinfo()) {
+       if (typeid(*this) == typeid(ex_to<basic>(pattern))) {
 
                // Check whether global wildcard (one that matches the "rest of the
                // expression", like "*" above) is present
@@ -427,20 +411,10 @@ bool expairseq::match(const ex & pattern, lst & repl_lst) const
                                continue;
                        exvector::iterator it = ops.begin(), itend = ops.end();
                        while (it != itend) {
-                               lst::const_iterator last_el = repl_lst.end();
-                               --last_el;
                                if (it->match(p, repl_lst)) {
                                        ops.erase(it);
                                        goto found;
                                }
-                               while(true) {
-                                       lst::const_iterator next_el = last_el;
-                                       ++next_el;
-                                       if(next_el == repl_lst.end())
-                                               break;
-                                       else
-                                               repl_lst.remove_last();
-                               }
                                ++it;
                        }
                        return false; // no match found
@@ -458,11 +432,11 @@ found:            ;
                        for (size_t i=0; i<num; i++)
                                vp->push_back(split_ex_to_pair(ops[i]));
                        ex rest = thisexpairseq(vp, default_overall_coeff());
-                       for (lst::const_iterator it = repl_lst.begin(); it != repl_lst.end(); ++it) {
-                               if (it->op(0).is_equal(global_wildcard))
-                                       return rest.is_equal(it->op(1));
+                       for (exmap::const_iterator it = repl_lst.begin(); it != repl_lst.end(); ++it) {
+                               if (it->first.is_equal(global_wildcard))
+                                       return rest.is_equal(it->second);
                        }
-                       repl_lst.append(global_wildcard == rest);
+                       repl_lst[global_wildcard] = rest;
                        return true;
 
                } else {
@@ -479,7 +453,7 @@ ex expairseq::subs(const exmap & m, unsigned options) const
 {
        std::auto_ptr<epvector> vp = subschildren(m, options);
        if (vp.get())
-               return ex_to<basic>(thisexpairseq(vp, overall_coeff, true));
+               return ex_to<basic>(thisexpairseq(vp, overall_coeff, (options & subs_options::no_index_renaming) == 0));
        else if ((options & subs_options::algebraic) && is_exactly_a<mul>(*this))
                return static_cast<const mul *>(this)->algebraic_subs_mul(m, options);
        else
@@ -625,7 +599,7 @@ unsigned expairseq::return_type() const
 
 unsigned expairseq::calchash() const
 {
-       unsigned v = golden_ratio_hash((p_int)this->tinfo());
+       unsigned v = make_hash_seed(typeid(*this));
        epvector::const_iterator i = seq.begin();
        const epvector::const_iterator end = seq.end();
        while (i != end) {
@@ -803,8 +777,8 @@ void expairseq::construct_from_2_ex_via_exvector(const ex &lh, const ex &rh)
 
 void expairseq::construct_from_2_ex(const ex &lh, const ex &rh)
 {
-       if (ex_to<basic>(lh).tinfo()==this->tinfo()) {
-               if (ex_to<basic>(rh).tinfo()==this->tinfo()) {
+       if (typeid(ex_to<basic>(lh)) == typeid(*this)) {
+               if (typeid(ex_to<basic>(rh)) == typeid(*this)) {
 #if EXPAIRSEQ_USE_HASHTAB
                        unsigned totalsize = ex_to<expairseq>(lh).seq.size() +
                                             ex_to<expairseq>(rh).seq.size();
@@ -838,7 +812,7 @@ void expairseq::construct_from_2_ex(const ex &lh, const ex &rh)
 #endif // EXPAIRSEQ_USE_HASHTAB
                        return;
                }
-       } else if (ex_to<basic>(rh).tinfo()==this->tinfo()) {
+       } else if (typeid(ex_to<basic>(rh)) == typeid(*this)) {
 #if EXPAIRSEQ_USE_HASHTAB
                unsigned totalsize=ex_to<expairseq>(rh).seq.size()+1;
                if (calc_hashtabsize(totalsize)!=0) {
@@ -899,7 +873,7 @@ void expairseq::construct_from_2_ex(const ex &lh, const ex &rh)
 }
 
 void expairseq::construct_from_2_expairseq(const expairseq &s1,
-                                                                                  const expairseq &s2)
+                                           const expairseq &s2)
 {
        combine_overall_coeff(s1.overall_coeff);
        combine_overall_coeff(s2.overall_coeff);
@@ -954,7 +928,7 @@ void expairseq::construct_from_2_expairseq(const expairseq &s1,
 }
 
 void expairseq::construct_from_expairseq_ex(const expairseq &s,
-                                                                                       const ex &e)
+                                            const ex &e)
 {
        combine_overall_coeff(s.overall_coeff);
        if (is_exactly_a<numeric>(e)) {
@@ -1019,7 +993,7 @@ void expairseq::construct_from_exvector(const exvector &v)
 {
        // simplifications: +(a,+(b,c),d) -> +(a,b,c,d) (associativity)
        //                  +(d,b,c,a) -> +(a,b,c,d) (canonicalization)
-       //                  +(...,x,*(x,c1),*(x,c2)) -> +(...,*(x,1+c1+c2)) (c1, c2 numeric())
+       //                  +(...,x,*(x,c1),*(x,c2)) -> +(...,*(x,1+c1+c2)) (c1, c2 numeric)
        //                  (same for (+,*) -> (*,^)
 
        make_flat(v);
@@ -1035,8 +1009,8 @@ void expairseq::construct_from_epvector(const epvector &v, bool do_index_renamin
 {
        // simplifications: +(a,+(b,c),d) -> +(a,b,c,d) (associativity)
        //                  +(d,b,c,a) -> +(a,b,c,d) (canonicalization)
-       //                  +(...,x,*(x,c1),*(x,c2)) -> +(...,*(x,1+c1+c2)) (c1, c2 numeric())
-       //                  (same for (+,*) -> (*,^)
+       //                  +(...,x,*(x,c1),*(x,c2)) -> +(...,*(x,1+c1+c2)) (c1, c2 numeric)
+       //                  same for (+,*) -> (*,^)
 
        make_flat(v, do_index_renaming);
 #if EXPAIRSEQ_USE_HASHTAB
@@ -1061,7 +1035,7 @@ void expairseq::make_flat(const exvector &v)
        
        cit = v.begin();
        while (cit!=v.end()) {
-               if (ex_to<basic>(*cit).tinfo()==this->tinfo()) {
+               if (typeid(ex_to<basic>(*cit)) == typeid(*this)) {
                        ++nexpairseqs;
                        noperands += ex_to<expairseq>(*cit).seq.size();
                }
@@ -1078,7 +1052,7 @@ void expairseq::make_flat(const exvector &v)
        make_flat_inserter mf(v, do_idx_rename);
        cit = v.begin();
        while (cit!=v.end()) {
-               if (ex_to<basic>(*cit).tinfo()==this->tinfo()) {
+               if (typeid(ex_to<basic>(*cit)) == typeid(*this)) {
                        ex newfactor = mf.handle_factor(*cit, _ex1);
                        const expairseq &subseqref = ex_to<expairseq>(newfactor);
                        combine_overall_coeff(subseqref.overall_coeff);
@@ -1113,7 +1087,7 @@ void expairseq::make_flat(const epvector &v, bool do_index_renaming)
        
        cit = v.begin();
        while (cit!=v.end()) {
-               if (ex_to<basic>(cit->rest).tinfo()==this->tinfo()) {
+               if (typeid(ex_to<basic>(cit->rest)) == typeid(*this)) {
                        ++nexpairseqs;
                        noperands += ex_to<expairseq>(cit->rest).seq.size();
                }
@@ -1131,7 +1105,7 @@ void expairseq::make_flat(const epvector &v, bool do_index_renaming)
        // copy elements and split off numerical part
        cit = v.begin();
        while (cit!=v.end()) {
-               if (ex_to<basic>(cit->rest).tinfo()==this->tinfo() &&
+               if ((typeid(ex_to<basic>(cit->rest)) == typeid(*this)) &&
                    this->can_make_flat(*cit)) {
                        ex newrest = mf.handle_factor(cit->rest, cit->coeff);
                        const expairseq &subseqref = ex_to<expairseq>(newrest);
@@ -1458,7 +1432,7 @@ bool expairseq::has_coeff_0() const
 }
 
 void expairseq::add_numerics_to_hashtab(epvector::iterator first_numeric,
-                                                                               epvector::const_iterator last_non_zero)
+                                        epvector::const_iterator last_non_zero)
 {
        if (first_numeric == seq.end()) return; // no numerics