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/** @file add.cpp
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*
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* Implementation of GiNaC's sums of expressions. */
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/*
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* GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*/
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#include <iostream>
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#include <stdexcept>
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#include "add.h"
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#include "mul.h"
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#include "debugmsg.h"
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namespace GiNaC {
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//////////
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// default constructor, destructor, copy constructor assignment operator and helpers
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//////////
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// public
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add::add()
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{
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debugmsg("add default constructor",LOGLEVEL_CONSTRUCT);
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tinfo_key = TINFO_add;
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}
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add::~add()
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{
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debugmsg("add destructor",LOGLEVEL_DESTRUCT);
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destroy(0);
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}
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add::add(add const & other)
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{
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debugmsg("add copy constructor",LOGLEVEL_CONSTRUCT);
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copy(other);
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}
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add const & add::operator=(add const & other)
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{
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debugmsg("add operator=",LOGLEVEL_ASSIGNMENT);
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if (this != &other) {
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destroy(1);
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copy(other);
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}
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return *this;
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}
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// protected
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void add::copy(add const & other)
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{
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expairseq::copy(other);
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}
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void add::destroy(bool call_parent)
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{
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if (call_parent) expairseq::destroy(call_parent);
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}
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//////////
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// other constructors
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//////////
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// public
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add::add(ex const & lh, ex const & rh)
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{
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debugmsg("add constructor from ex,ex",LOGLEVEL_CONSTRUCT);
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tinfo_key = TINFO_add;
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overall_coeff=exZERO();
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construct_from_2_ex(lh,rh);
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GINAC_ASSERT(is_canonical());
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}
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add::add(exvector const & v)
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{
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debugmsg("add constructor from exvector",LOGLEVEL_CONSTRUCT);
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tinfo_key = TINFO_add;
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overall_coeff=exZERO();
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construct_from_exvector(v);
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GINAC_ASSERT(is_canonical());
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}
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/*
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add::add(epvector const & v, bool do_not_canonicalize)
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{
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debugmsg("add constructor from epvector,bool",LOGLEVEL_CONSTRUCT);
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tinfo_key = TINFO_add;
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if (do_not_canonicalize) {
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seq=v;
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#ifdef EXPAIRSEQ_USE_HASHTAB
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combine_same_terms(); // to build hashtab
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#endif // def EXPAIRSEQ_USE_HASHTAB
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} else {
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construct_from_epvector(v);
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}
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GINAC_ASSERT(is_canonical());
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}
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*/
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add::add(epvector const & v)
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{
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debugmsg("add constructor from epvector",LOGLEVEL_CONSTRUCT);
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tinfo_key = TINFO_add;
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overall_coeff=exZERO();
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construct_from_epvector(v);
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GINAC_ASSERT(is_canonical());
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}
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add::add(epvector const & v, ex const & oc)
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{
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debugmsg("add constructor from epvector,ex",LOGLEVEL_CONSTRUCT);
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tinfo_key = TINFO_add;
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overall_coeff=oc;
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construct_from_epvector(v);
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GINAC_ASSERT(is_canonical());
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}
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add::add(epvector * vp, ex const & oc)
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{
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debugmsg("add constructor from epvector *,ex",LOGLEVEL_CONSTRUCT);
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tinfo_key = TINFO_add;
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GINAC_ASSERT(vp!=0);
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overall_coeff=oc;
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construct_from_epvector(*vp);
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delete vp;
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GINAC_ASSERT(is_canonical());
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}
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//////////
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// functions overriding virtual functions from bases classes
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//////////
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// public
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basic * add::duplicate() const
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{
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debugmsg("add duplicate",LOGLEVEL_DUPLICATE);
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return new add(*this);
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}
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bool add::info(unsigned inf) const
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{
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// TODO: optimize
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if (inf==info_flags::polynomial || inf==info_flags::integer_polynomial || inf==info_flags::rational_polynomial || inf==info_flags::rational_function) {
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for (epvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
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if (!(recombine_pair_to_ex(*it).info(inf)))
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return false;
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}
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return true;
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} else {
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return expairseq::info(inf);
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}
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}
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int add::degree(symbol const & s) const
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{
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int deg=INT_MIN;
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if (!overall_coeff.is_equal(exZERO())) {
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deg=0;
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}
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int cur_deg;
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for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
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cur_deg=(*cit).rest.degree(s);
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if (cur_deg>deg) deg=cur_deg;
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}
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return deg;
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}
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int add::ldegree(symbol const & s) const
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{
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int deg=INT_MAX;
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if (!overall_coeff.is_equal(exZERO())) {
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deg=0;
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}
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int cur_deg;
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for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
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cur_deg=(*cit).rest.ldegree(s);
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if (cur_deg<deg) deg=cur_deg;
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}
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return deg;
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}
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ex add::coeff(symbol const & s, int const n) const
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{
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epvector coeffseq;
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coeffseq.reserve(seq.size());
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epvector::const_iterator it=seq.begin();
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while (it!=seq.end()) {
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coeffseq.push_back(combine_ex_with_coeff_to_pair((*it).rest.coeff(s,n),
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(*it).coeff));
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++it;
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}
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if (n==0) {
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return (new add(coeffseq,overall_coeff))->setflag(status_flags::dynallocated);
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}
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return (new add(coeffseq))->setflag(status_flags::dynallocated);
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}
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/*
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ex add::eval(int level) const
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{
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// simplifications: +(...,x,c1,c2) -> +(...,x,c1+c2) (c1, c2 numeric())
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// +(...,(c1,c2)) -> (...,(c1*c2,1)) (normalize)
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// +(...,x,0) -> +(...,x)
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// +(x) -> x
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// +() -> 0
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debugmsg("add eval",LOGLEVEL_MEMBER_FUNCTION);
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epvector newseq=seq;
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epvector::iterator it1,it2;
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// +(...,x,c1,c2) -> +(...,x,c1+c2) (c1, c2 numeric())
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it2=newseq.end()-1;
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it1=it2-1;
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while ((newseq.size()>=2)&&is_exactly_of_type(*(*it1).rest.bp,numeric)&&
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is_exactly_of_type(*(*it2).rest.bp,numeric)) {
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*it1=expair(ex_to_numeric((*it1).rest).mul(ex_to_numeric((*it1).coeff))
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.add(ex_to_numeric((*it2).rest).mul(ex_to_numeric((*it2).coeff))),exONE());
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newseq.pop_back();
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it2=newseq.end()-1;
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it1=it2-1;
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}
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if ((newseq.size()>=1)&&is_exactly_of_type(*(*it2).rest.bp,numeric)) {
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// +(...,(c1,c2)) -> (...,(c1*c2,1)) (normalize)
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*it2=expair(ex_to_numeric((*it2).rest).mul(ex_to_numeric((*it2).coeff)),exONE());
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// +(...,x,0) -> +(...,x)
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if (ex_to_numeric((*it2).rest).compare(0)==0) {
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newseq.pop_back();
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}
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}
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if (newseq.size()==0) {
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// +() -> 0
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return exZERO();
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} else if (newseq.size()==1) {
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// +(x) -> x
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return recombine_pair_to_ex(*(newseq.begin()));
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}
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return (new add(newseq,1))->setflag(status_flags::dynallocated |
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status_flags::evaluated );
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}
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*/
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/*
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ex add::eval(int level) const
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{
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// simplifications: +(...,x,c1,c2) -> +(...,x,c1+c2) (c1, c2 numeric())
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// +(...,(c1,c2)) -> (...,(c1*c2,1)) (normalize)
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// +(...,x,0) -> +(...,x)
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// +(x) -> x
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// +() -> 0
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debugmsg("add eval",LOGLEVEL_MEMBER_FUNCTION);
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if ((level==1)&&(flags & status_flags::evaluated)) {
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#ifdef DO_GINAC_ASSERT
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for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
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GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,add));
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GINAC_ASSERT(!(is_ex_exactly_of_type((*cit).rest,numeric)&&
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(ex_to_numeric((*cit).coeff).compare(numONE())!=0)));
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}
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#endif // def DO_GINAC_ASSERT
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return *this;
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}
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epvector newseq;
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epvector::iterator it1,it2;
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bool seq_copied=false;
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epvector * evaled_seqp=evalchildren(level);
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if (evaled_seqp!=0) {
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// do more evaluation later
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return (new add(evaled_seqp))->setflag(status_flags::dynallocated);
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}
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#ifdef DO_GINAC_ASSERT
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for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
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GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,add));
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GINAC_ASSERT(!(is_ex_exactly_of_type((*cit).rest,numeric)&&
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(ex_to_numeric((*cit).coeff).compare(numONE())!=0)));
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}
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#endif // def DO_GINAC_ASSERT
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if (flags & status_flags::evaluated) {
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return *this;
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}
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expair const & last_expair=*(seq.end()-1);
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expair const & next_to_last_expair=*(seq.end()-2);
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int seq_size = seq.size();
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// +(...,x,c1,c2) -> +(...,x,c1+c2) (c1, c2 numeric())
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if ((!seq_copied)&&(seq_size>=2)&&
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is_ex_exactly_of_type(last_expair.rest,numeric)&&
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is_ex_exactly_of_type(next_to_last_expair.rest,numeric)) {
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newseq=seq;
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seq_copied=true;
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it2=newseq.end()-1;
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it1=it2-1;
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}
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while (seq_copied&&(newseq.size()>=2)&&
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is_ex_exactly_of_type((*it1).rest,numeric)&&
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is_ex_exactly_of_type((*it2).rest,numeric)) {
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*it1=expair(ex_to_numeric((*it1).rest).mul(ex_to_numeric((*it1).coeff))
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.add_dyn(ex_to_numeric((*it2).rest).mul(ex_to_numeric((*it2).coeff))),exONE());
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newseq.pop_back();
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it2=newseq.end()-1;
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it1=it2-1;
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}
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// +(...,(c1,c2)) -> (...,(c1*c2,1)) (normalize)
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| 335 |
if ((!seq_copied)&&(seq_size>=1)&&
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(is_ex_exactly_of_type(last_expair.rest,numeric))&&
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(ex_to_numeric(last_expair.coeff).compare(numONE())!=0)) {
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newseq=seq;
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seq_copied=true;
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it2=newseq.end()-1;
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}
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if (seq_copied&&(newseq.size()>=1)&&
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| 343 |
(is_ex_exactly_of_type((*it2).rest,numeric))&&
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(ex_to_numeric((*it2).coeff).compare(numONE())!=0)) {
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*it2=expair(ex_to_numeric((*it2).rest).mul_dyn(ex_to_numeric((*it2).coeff)),exONE());
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}
|
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| 348 |
// +(...,x,0) -> +(...,x)
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| 349 |
if ((!seq_copied)&&(seq_size>=1)&&
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| 350 |
(is_ex_exactly_of_type(last_expair.rest,numeric))&&
|
| 351 |
(ex_to_numeric(last_expair.rest).is_zero())) {
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newseq=seq;
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seq_copied=true;
|
| 354 |
it2=newseq.end()-1;
|
| 355 |
}
|
| 356 |
if (seq_copied&&(newseq.size()>=1)&&
|
| 357 |
(is_ex_exactly_of_type((*it2).rest,numeric))&&
|
| 358 |
(ex_to_numeric((*it2).rest).is_zero())) {
|
| 359 |
newseq.pop_back();
|
| 360 |
}
|
| 361 |
|
| 362 |
// +() -> 0
|
| 363 |
if ((!seq_copied)&&(seq_size==0)) {
|
| 364 |
return exZERO();
|
| 365 |
} else if (seq_copied&&(newseq.size()==0)) {
|
| 366 |
return exZERO();
|
| 367 |
}
|
| 368 |
|
| 369 |
// +(x) -> x
|
| 370 |
if ((!seq_copied)&&(seq_size==1)) {
|
| 371 |
return recombine_pair_to_ex(*(seq.begin()));
|
| 372 |
} else if (seq_copied&&(newseq.size()==1)) {
|
| 373 |
return recombine_pair_to_ex(*(newseq.begin()));
|
| 374 |
}
|
| 375 |
|
| 376 |
if (!seq_copied) return this->hold();
|
| 377 |
|
| 378 |
return (new add(newseq,1))->setflag(status_flags::dynallocated |
|
| 379 |
status_flags::evaluated );
|
| 380 |
}
|
| 381 |
*/
|
| 382 |
|
| 383 |
ex add::eval(int level) const
|
| 384 |
{
|
| 385 |
// simplifications: +(;c) -> c
|
| 386 |
// +(x;1) -> x
|
| 387 |
|
| 388 |
debugmsg("add eval",LOGLEVEL_MEMBER_FUNCTION);
|
| 389 |
|
| 390 |
epvector * evaled_seqp=evalchildren(level);
|
| 391 |
if (evaled_seqp!=0) {
|
| 392 |
// do more evaluation later
|
| 393 |
return (new add(evaled_seqp,overall_coeff))->
|
| 394 |
setflag(status_flags::dynallocated);
|
| 395 |
}
|
| 396 |
|
| 397 |
#ifdef DO_GINAC_ASSERT
|
| 398 |
for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
|
| 399 |
GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,add));
|
| 400 |
if (is_ex_exactly_of_type((*cit).rest,numeric)) {
|
| 401 |
dbgprint();
|
| 402 |
}
|
| 403 |
GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,numeric));
|
| 404 |
}
|
| 405 |
#endif // def DO_GINAC_ASSERT
|
| 406 |
|
| 407 |
if (flags & status_flags::evaluated) {
|
| 408 |
GINAC_ASSERT(seq.size()>0);
|
| 409 |
GINAC_ASSERT((seq.size()>1)||!overall_coeff.is_equal(exZERO()));
|
| 410 |
return *this;
|
| 411 |
}
|
| 412 |
|
| 413 |
int seq_size=seq.size();
|
| 414 |
if (seq_size==0) {
|
| 415 |
// +(;c) -> c
|
| 416 |
return overall_coeff;
|
| 417 |
} else if ((seq_size==1)&&overall_coeff.is_equal(exZERO())) {
|
| 418 |
// +(x;0) -> x
|
| 419 |
return recombine_pair_to_ex(*(seq.begin()));
|
| 420 |
}
|
| 421 |
return this->hold();
|
| 422 |
}
|
| 423 |
|
| 424 |
exvector add::get_indices(void) const
|
| 425 |
{
|
| 426 |
// FIXME: all terms in the sum should have the same indices (compatible
|
| 427 |
// tensors) however this is not checked, since there is no function yet
|
| 428 |
// which compares indices (idxvector can be unsorted)
|
| 429 |
if (seq.size()==0) {
|
| 430 |
return exvector();
|
| 431 |
}
|
| 432 |
return (seq.begin())->rest.get_indices();
|
| 433 |
}
|
| 434 |
|
| 435 |
ex add::simplify_ncmul(exvector const & v) const
|
| 436 |
{
|
| 437 |
if (seq.size()==0) {
|
| 438 |
return expairseq::simplify_ncmul(v);
|
| 439 |
}
|
| 440 |
return (*seq.begin()).rest.simplify_ncmul(v);
|
| 441 |
}
|
| 442 |
|
| 443 |
// protected
|
| 444 |
|
| 445 |
int add::compare_same_type(basic const & other) const
|
| 446 |
{
|
| 447 |
return expairseq::compare_same_type(other);
|
| 448 |
}
|
| 449 |
|
| 450 |
bool add::is_equal_same_type(basic const & other) const
|
| 451 |
{
|
| 452 |
return expairseq::is_equal_same_type(other);
|
| 453 |
}
|
| 454 |
|
| 455 |
unsigned add::return_type(void) const
|
| 456 |
{
|
| 457 |
if (seq.size()==0) {
|
| 458 |
return return_types::commutative;
|
| 459 |
}
|
| 460 |
return (*seq.begin()).rest.return_type();
|
| 461 |
}
|
| 462 |
|
| 463 |
unsigned add::return_type_tinfo(void) const
|
| 464 |
{
|
| 465 |
if (seq.size()==0) {
|
| 466 |
return tinfo_key;
|
| 467 |
}
|
| 468 |
return (*seq.begin()).rest.return_type_tinfo();
|
| 469 |
}
|
| 470 |
|
| 471 |
ex add::thisexpairseq(epvector const & v, ex const & oc) const
|
| 472 |
{
|
| 473 |
return (new add(v,oc))->setflag(status_flags::dynallocated);
|
| 474 |
}
|
| 475 |
|
| 476 |
ex add::thisexpairseq(epvector * vp, ex const & oc) const
|
| 477 |
{
|
| 478 |
return (new add(vp,oc))->setflag(status_flags::dynallocated);
|
| 479 |
}
|
| 480 |
|
| 481 |
/*
|
| 482 |
expair add::split_ex_to_pair(ex const & e) const
|
| 483 |
{
|
| 484 |
if (is_ex_exactly_of_type(e,mul)) {
|
| 485 |
mul const & mulref=ex_to_mul(e);
|
| 486 |
GINAC_ASSERT(mulref.seq.size()>1);
|
| 487 |
ex const & lastfactor_rest=(*(mulref.seq.end()-1)).rest;
|
| 488 |
ex const & lastfactor_coeff=(*(mulref.seq.end()-1)).coeff;
|
| 489 |
if (is_ex_exactly_of_type(lastfactor_rest,numeric) &&
|
| 490 |
ex_to_numeric(lastfactor_coeff).is_equal(numONE())) {
|
| 491 |
epvector s=mulref.seq;
|
| 492 |
//s.pop_back();
|
| 493 |
//return expair((new mul(s,1))->setflag(status_flags::dynallocated),
|
| 494 |
// lastfactor);
|
| 495 |
mul * mulp=static_cast<mul *>(mulref.duplicate());
|
| 496 |
#ifdef EXPAIRSEQ_USE_HASHTAB
|
| 497 |
mulp->remove_hashtab_entry(mulp->seq.end()-1);
|
| 498 |
#endif // def EXPAIRSEQ_USE_HASHTAB
|
| 499 |
mulp->seq.pop_back();
|
| 500 |
#ifdef EXPAIRSEQ_USE_HASHTAB
|
| 501 |
mulp->shrink_hashtab();
|
| 502 |
#endif // def EXPAIRSEQ_USE_HASHTAB
|
| 503 |
mulp->clearflag(status_flags::evaluated);
|
| 504 |
mulp->clearflag(status_flags::hash_calculated);
|
| 505 |
return expair(mulp->setflag(status_flags::dynallocated),lastfactor_rest);
|
| 506 |
}
|
| 507 |
}
|
| 508 |
return expair(e,exONE());
|
| 509 |
}
|
| 510 |
*/
|
| 511 |
|
| 512 |
expair add::split_ex_to_pair(ex const & e) const
|
| 513 |
{
|
| 514 |
if (is_ex_exactly_of_type(e,mul)) {
|
| 515 |
mul const & mulref=ex_to_mul(e);
|
| 516 |
ex numfactor=mulref.overall_coeff;
|
| 517 |
// mul * mulcopyp=static_cast<mul *>(mulref.duplicate());
|
| 518 |
mul * mulcopyp=new mul(mulref);
|
| 519 |
mulcopyp->overall_coeff=exONE();
|
| 520 |
mulcopyp->clearflag(status_flags::evaluated);
|
| 521 |
mulcopyp->clearflag(status_flags::hash_calculated);
|
| 522 |
return expair(mulcopyp->setflag(status_flags::dynallocated),numfactor);
|
| 523 |
}
|
| 524 |
return expair(e,exONE());
|
| 525 |
}
|
| 526 |
|
| 527 |
/*
|
| 528 |
expair add::combine_ex_with_coeff_to_pair(ex const & e,
|
| 529 |
ex const & c) const
|
| 530 |
{
|
| 531 |
GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
|
| 532 |
if (is_ex_exactly_of_type(e,mul)) {
|
| 533 |
mul const & mulref=ex_to_mul(e);
|
| 534 |
GINAC_ASSERT(mulref.seq.size()>1);
|
| 535 |
ex const & lastfactor_rest=(*(mulref.seq.end()-1)).rest;
|
| 536 |
ex const & lastfactor_coeff=(*(mulref.seq.end()-1)).coeff;
|
| 537 |
if (is_ex_exactly_of_type(lastfactor_rest,numeric) &&
|
| 538 |
ex_to_numeric(lastfactor_coeff).is_equal(numONE())) {
|
| 539 |
//epvector s=mulref.seq;
|
| 540 |
//s.pop_back();
|
| 541 |
//return expair((new mul(s,1))->setflag(status_flags::dynallocated),
|
| 542 |
// ex_to_numeric(lastfactor).mul_dyn(ex_to_numeric(c)));
|
| 543 |
mul * mulp=static_cast<mul *>(mulref.duplicate());
|
| 544 |
#ifdef EXPAIRSEQ_USE_HASHTAB
|
| 545 |
mulp->remove_hashtab_entry(mulp->seq.end()-1);
|
| 546 |
#endif // def EXPAIRSEQ_USE_HASHTAB
|
| 547 |
mulp->seq.pop_back();
|
| 548 |
#ifdef EXPAIRSEQ_USE_HASHTAB
|
| 549 |
mulp->shrink_hashtab();
|
| 550 |
#endif // def EXPAIRSEQ_USE_HASHTAB
|
| 551 |
mulp->clearflag(status_flags::evaluated);
|
| 552 |
mulp->clearflag(status_flags::hash_calculated);
|
| 553 |
if (are_ex_trivially_equal(c,exONE())) {
|
| 554 |
return expair(mulp->setflag(status_flags::dynallocated),lastfactor_rest);
|
| 555 |
} else if (are_ex_trivially_equal(lastfactor_rest,exONE())) {
|
| 556 |
return expair(mulp->setflag(status_flags::dynallocated),c);
|
| 557 |
}
|
| 558 |
return expair(mulp->setflag(status_flags::dynallocated),
|
| 559 |
ex_to_numeric(lastfactor_rest).mul_dyn(ex_to_numeric(c)));
|
| 560 |
}
|
| 561 |
}
|
| 562 |
return expair(e,c);
|
| 563 |
}
|
| 564 |
*/
|
| 565 |
|
| 566 |
expair add::combine_ex_with_coeff_to_pair(ex const & e,
|
| 567 |
ex const & c) const
|
| 568 |
{
|
| 569 |
GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
|
| 570 |
if (is_ex_exactly_of_type(e,mul)) {
|
| 571 |
mul const & mulref=ex_to_mul(e);
|
| 572 |
ex numfactor=mulref.overall_coeff;
|
| 573 |
//mul * mulcopyp=static_cast<mul *>(mulref.duplicate());
|
| 574 |
mul * mulcopyp=new mul(mulref);
|
| 575 |
mulcopyp->overall_coeff=exONE();
|
| 576 |
mulcopyp->clearflag(status_flags::evaluated);
|
| 577 |
mulcopyp->clearflag(status_flags::hash_calculated);
|
| 578 |
if (are_ex_trivially_equal(c,exONE())) {
|
| 579 |
return expair(mulcopyp->setflag(status_flags::dynallocated),numfactor);
|
| 580 |
} else if (are_ex_trivially_equal(numfactor,exONE())) {
|
| 581 |
return expair(mulcopyp->setflag(status_flags::dynallocated),c);
|
| 582 |
}
|
| 583 |
return expair(mulcopyp->setflag(status_flags::dynallocated),
|
| 584 |
ex_to_numeric(numfactor).mul_dyn(ex_to_numeric(c)));
|
| 585 |
} else if (is_ex_exactly_of_type(e,numeric)) {
|
| 586 |
if (are_ex_trivially_equal(c,exONE())) {
|
| 587 |
return expair(e,exONE());
|
| 588 |
}
|
| 589 |
return expair(ex_to_numeric(e).mul_dyn(ex_to_numeric(c)),exONE());
|
| 590 |
}
|
| 591 |
return expair(e,c);
|
| 592 |
}
|
| 593 |
|
| 594 |
expair add::combine_pair_with_coeff_to_pair(expair const & p,
|
| 595 |
ex const & c) const
|
| 596 |
{
|
| 597 |
GINAC_ASSERT(is_ex_exactly_of_type(p.coeff,numeric));
|
| 598 |
GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
|
| 599 |
|
| 600 |
if (is_ex_exactly_of_type(p.rest,numeric)) {
|
| 601 |
GINAC_ASSERT(ex_to_numeric(p.coeff).is_equal(numONE())); // should be normalized
|
| 602 |
return expair(ex_to_numeric(p.rest).mul_dyn(ex_to_numeric(c)),exONE());
|
| 603 |
}
|
| 604 |
|
| 605 |
return expair(p.rest,ex_to_numeric(p.coeff).mul_dyn(ex_to_numeric(c)));
|
| 606 |
}
|
| 607 |
|
| 608 |
ex add::recombine_pair_to_ex(expair const & p) const
|
| 609 |
{
|
| 610 |
//if (p.coeff.compare(exONE())==0) {
|
| 611 |
//if (are_ex_trivially_equal(p.coeff,exONE())) {
|
| 612 |
if (ex_to_numeric(p.coeff).is_equal(numONE())) {
|
| 613 |
return p.rest;
|
| 614 |
} else {
|
| 615 |
return p.rest*p.coeff;
|
| 616 |
}
|
| 617 |
}
|
| 618 |
|
| 619 |
ex add::expand(unsigned options) const
|
| 620 |
{
|
| 621 |
epvector * vp=expandchildren(options);
|
| 622 |
if (vp==0) {
|
| 623 |
return *this;
|
| 624 |
}
|
| 625 |
return (new add(vp,overall_coeff))->setflag(status_flags::expanded |
|
| 626 |
status_flags::dynallocated );
|
| 627 |
}
|
| 628 |
|
| 629 |
//////////
|
| 630 |
// new virtual functions which can be overridden by derived classes
|
| 631 |
//////////
|
| 632 |
|
| 633 |
// none
|
| 634 |
|
| 635 |
//////////
|
| 636 |
// non-virtual functions in this class
|
| 637 |
//////////
|
| 638 |
|
| 639 |
// none
|
| 640 |
|
| 641 |
//////////
|
| 642 |
// static member variables
|
| 643 |
//////////
|
| 644 |
|
| 645 |
// protected
|
| 646 |
|
| 647 |
unsigned add::precedence=40;
|
| 648 |
|
| 649 |
//////////
|
| 650 |
// global constants
|
| 651 |
//////////
|
| 652 |
|
| 653 |
const add some_add;
|
| 654 |
type_info const & typeid_add=typeid(some_add);
|
| 655 |
|
| 656 |
} // namespace GiNaC
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