* Implementation of GiNaC's products of expressions. */
/*
- * 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 <vector>
-#include <stdexcept>
-#include <limits>
-
#include "mul.h"
#include "add.h"
#include "power.h"
#include "symbol.h"
#include "compiler.h"
+#include <iostream>
+#include <limits>
+#include <stdexcept>
+#include <vector>
+
namespace GiNaC {
GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(mul, expairseq,
// archiving
//////////
-DEFAULT_ARCHIVING(mul)
-
//////////
// functions overriding virtual functions from base classes
//////////
case info_flags::integer_polynomial:
case info_flags::cinteger_polynomial:
case info_flags::rational_polynomial:
+ case info_flags::real:
+ case info_flags::rational:
+ case info_flags::integer:
+ case info_flags::crational:
+ case info_flags::cinteger:
+ case info_flags::positive:
+ case info_flags::nonnegative:
+ case info_flags::posint:
+ case info_flags::nonnegint:
+ case info_flags::even:
case info_flags::crational_polynomial:
case info_flags::rational_function: {
epvector::const_iterator i = seq.begin(), end = seq.end();
return false;
++i;
}
+ if (overall_coeff.is_equal(*_num1_p) && inf == info_flags::even)
+ return true;
return overall_coeff.info(inf);
}
case info_flags::algebraic: {
}
return false;
}
+ case info_flags::negative: {
+ bool neg = false;
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ const ex& factor = recombine_pair_to_ex(*i++);
+ if (factor.info(info_flags::positive))
+ continue;
+ else if (factor.info(info_flags::negative))
+ neg = !neg;
+ else
+ return false;
+ }
+ if (overall_coeff.info(info_flags::negative))
+ neg = !neg;
+ return neg;
+ }
+ case info_flags::negint: {
+ bool neg = false;
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ const ex& factor = recombine_pair_to_ex(*i++);
+ if (factor.info(info_flags::posint))
+ continue;
+ else if (factor.info(info_flags::negint))
+ neg = !neg;
+ else
+ return false;
+ }
+ if (overall_coeff.info(info_flags::negint))
+ neg = !neg;
+ else if (!overall_coeff.info(info_flags::posint))
+ return false;
+ return neg;
+ }
}
return inherited::info(inf);
}
+bool mul::is_polynomial(const ex & var) const
+{
+ for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) {
+ if (!i->rest.is_polynomial(var) ||
+ (i->rest.has(var) && !i->coeff.info(info_flags::integer))) {
+ return false;
+ }
+ }
+ return true;
+}
+
int mul::degree(const ex & s) const
{
// Sum up degrees of factors
int factor, int &nummatches, const std::vector<bool> &subsed,
std::vector<bool> &matched)
{
- if (factor == pat.nops())
+ GINAC_ASSERT(subsed.size() == e.nops());
+ GINAC_ASSERT(matched.size() == e.nops());
+
+ if (factor == (int)pat.nops())
return true;
for (size_t i=0; i<e.nops(); ++i) {
if(is_a<mul>(pattern)) {
exmap repls;
int nummatches = std::numeric_limits<int>::max();
- std::vector<bool> subsed(seq.size(), false);
- std::vector<bool> matched(seq.size(), false);
+ std::vector<bool> subsed(nops(), false);
+ std::vector<bool> matched(nops(), false);
if(algebraic_match_mul_with_mul(*this, pattern, repls, 0, nummatches,
subsed, matched))
return true;
ex mul::algebraic_subs_mul(const exmap & m, unsigned options) const
{
- std::vector<bool> subsed(seq.size(), false);
- exvector subsresult(seq.size());
+ std::vector<bool> subsed(nops(), false);
ex divide_by = 1;
ex multiply_by = 1;
if (is_exactly_a<mul>(it->first)) {
retry1:
int nummatches = std::numeric_limits<int>::max();
- std::vector<bool> currsubsed(seq.size(), false);
+ std::vector<bool> currsubsed(nops(), false);
exmap repls;
if(!algebraic_match_mul_with_mul(*this, it->first, repls, 0, nummatches, subsed, currsubsed))
return ((*this)/divide_by)*multiply_by;
}
+ex mul::conjugate() const
+{
+ // The base class' method is wrong here because we have to be careful at
+ // branch cuts. power::conjugate takes care of that already, so use it.
+ epvector *newepv = 0;
+ for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) {
+ if (newepv) {
+ newepv->push_back(split_ex_to_pair(recombine_pair_to_ex(*i).conjugate()));
+ continue;
+ }
+ ex x = recombine_pair_to_ex(*i);
+ ex c = x.conjugate();
+ if (c.is_equal(x)) {
+ continue;
+ }
+ newepv = new epvector;
+ newepv->reserve(seq.size());
+ for (epvector::const_iterator j=seq.begin(); j!=i; ++j) {
+ newepv->push_back(*j);
+ }
+ newepv->push_back(split_ex_to_pair(c));
+ }
+ ex x = overall_coeff.conjugate();
+ if (!newepv && are_ex_trivially_equal(x, overall_coeff)) {
+ return *this;
+ }
+ ex result = thisexpairseq(newepv ? *newepv : seq, x);
+ delete newepv;
+ return result;
+}
+
+
// protected
/** Implementation of ex::diff() for a product. It applies the product rule.
return std::auto_ptr<epvector>(0); // nothing has changed
}
+GINAC_BIND_UNARCHIVER(mul);
+
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff