/usr/include/ginac/container.h is in libginac-dev 1.6.6-1.
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*
* Wrapper template for making GiNaC classes out of STL containers. */
/*
* GiNaC Copyright (C) 1999-2015 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
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#ifndef GINAC_CONTAINER_H
#define GINAC_CONTAINER_H
#include "ex.h"
#include "print.h"
#include "archive.h"
#include "assertion.h"
#include <algorithm>
#include <iterator>
#include <list>
#include <memory>
#include <stdexcept>
#include <vector>
namespace GiNaC {
/** Helper template for encapsulating the reserve() mechanics of STL containers. */
template <template <class T, class = std::allocator<T> > class C>
class container_storage {
protected:
typedef C<ex> STLT;
container_storage() {}
container_storage(size_t n, const ex & e) : seq(n, e) {}
template <class In>
container_storage(In b, In e) : seq(b, e) {}
void reserve(size_t) {}
static void reserve(STLT &, size_t) {}
STLT seq;
// disallow destruction of container through a container_storage*
protected:
~container_storage() {}
};
template <>
inline void container_storage<std::vector>::reserve(size_t n) { seq.reserve(n); }
template <>
inline void container_storage<std::vector>::reserve(std::vector<ex> & v, size_t n) { v.reserve(n); }
/** Helper template to allow initialization of containers via an overloaded
* comma operator (idea stolen from Blitz++). */
template <typename T, typename STLT>
class container_init {
public:
container_init(STLT & s) : stlt(s) {}
container_init<T, STLT> operator,(const T & x)
{
stlt.push_back(x);
return container_init<T, STLT>(stlt);
}
// The following specializations produce much tighter code than the
// general case above
container_init<T, STLT> operator,(int x)
{
stlt.push_back(x);
return container_init<T, STLT>(stlt);
}
container_init<T, STLT> operator,(unsigned int x)
{
stlt.push_back(x);
return container_init<T, STLT>(stlt);
}
container_init<T, STLT> operator,(long x)
{
stlt.push_back(x);
return container_init<T, STLT>(stlt);
}
container_init<T, STLT> operator,(unsigned long x)
{
stlt.push_back(x);
return container_init<T, STLT>(stlt);
}
container_init<T, STLT> operator,(double x)
{
stlt.push_back(x);
return container_init<T, STLT>(stlt);
}
container_init<T, STLT> operator,(const symbol & x)
{
stlt.push_back(T(x));
return container_init<T, STLT>(stlt);
}
private:
container_init();
STLT & stlt;
};
/** Wrapper template for making GiNaC classes out of STL containers. */
template <template <class T, class = std::allocator<T> > class C>
class container : public basic, public container_storage<C> {
GINAC_DECLARE_REGISTERED_CLASS(container, basic)
protected:
typedef typename container_storage<C>::STLT STLT;
public:
typedef typename STLT::const_iterator const_iterator;
typedef typename STLT::const_reverse_iterator const_reverse_iterator;
protected:
// helpers
static unsigned get_default_flags() { return 0; }
static char get_open_delim() { return '('; }
static char get_close_delim() { return ')'; }
// constructors
public:
container(STLT const & s, bool discardable = false)
{
setflag(get_default_flags());
if (discardable)
this->seq.swap(const_cast<STLT &>(s));
else
this->seq = s;
}
explicit container(std::auto_ptr<STLT> vp)
{
setflag(get_default_flags());
this->seq.swap(*vp);
}
container(exvector::const_iterator b, exvector::const_iterator e)
: container_storage<C>(b, e)
{
setflag(get_default_flags());
}
explicit container(const ex & p1)
: container_storage<C>(1, p1)
{
setflag(get_default_flags());
}
container(const ex & p1, const ex & p2)
{
setflag(get_default_flags());
this->reserve(this->seq, 2);
this->seq.push_back(p1); this->seq.push_back(p2);
}
container(const ex & p1, const ex & p2, const ex & p3)
{
setflag(get_default_flags());
this->reserve(this->seq, 3);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4)
{
setflag(get_default_flags());
this->reserve(this->seq, 4);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5)
{
setflag(get_default_flags());
this->reserve(this->seq, 5);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6)
{
setflag(get_default_flags());
this->reserve(this->seq, 6);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7)
{
setflag(get_default_flags());
this->reserve(this->seq, 7);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8)
{
setflag(get_default_flags());
this->reserve(this->seq, 8);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8, const ex & p9)
{
setflag(get_default_flags());
this->reserve(this->seq, 9);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8, const ex & p9,
const ex & p10)
{
setflag(get_default_flags());
this->reserve(this->seq, 10);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
this->seq.push_back(p10);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8, const ex & p9,
const ex & p10, const ex & p11)
{
setflag(get_default_flags());
this->reserve(this->seq, 11);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
this->seq.push_back(p10); this->seq.push_back(p11);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8, const ex & p9,
const ex & p10, const ex & p11, const ex & p12)
{
setflag(get_default_flags());
this->reserve(this->seq, 12);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8, const ex & p9,
const ex & p10, const ex & p11, const ex & p12,
const ex & p13)
{
setflag(get_default_flags());
this->reserve(this->seq, 13);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
this->seq.push_back(p13);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8, const ex & p9,
const ex & p10, const ex & p11, const ex & p12,
const ex & p13, const ex & p14)
{
setflag(get_default_flags());
this->reserve(this->seq, 14);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
this->seq.push_back(p13); this->seq.push_back(p14);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8, const ex & p9,
const ex & p10, const ex & p11, const ex & p12,
const ex & p13, const ex & p14, const ex & p15)
{
setflag(get_default_flags());
this->reserve(this->seq, 15);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
this->seq.push_back(p13); this->seq.push_back(p14); this->seq.push_back(p15);
}
container(const ex & p1, const ex & p2, const ex & p3,
const ex & p4, const ex & p5, const ex & p6,
const ex & p7, const ex & p8, const ex & p9,
const ex & p10, const ex & p11, const ex & p12,
const ex & p13, const ex & p14, const ex & p15,
const ex & p16)
{
setflag(get_default_flags());
this->reserve(this->seq, 16);
this->seq.push_back(p1); this->seq.push_back(p2); this->seq.push_back(p3);
this->seq.push_back(p4); this->seq.push_back(p5); this->seq.push_back(p6);
this->seq.push_back(p7); this->seq.push_back(p8); this->seq.push_back(p9);
this->seq.push_back(p10); this->seq.push_back(p11); this->seq.push_back(p12);
this->seq.push_back(p13); this->seq.push_back(p14); this->seq.push_back(p15);
this->seq.push_back(p16);
}
// First step of initialization of container with a comma-separated
// sequence of expressions. Subsequent steps are handled by
// container_init<>::operator,().
container_init<ex, STLT> operator=(const ex & x)
{
this->seq.push_back(x);
return container_init<ex, STLT>(this->seq);
}
// functions overriding virtual functions from base classes
public:
bool info(unsigned inf) const { return inherited::info(inf); }
unsigned precedence() const { return 10; }
size_t nops() const { return this->seq.size(); }
ex op(size_t i) const;
ex & let_op(size_t i);
ex eval(int level = 0) const;
ex subs(const exmap & m, unsigned options = 0) const;
void read_archive(const archive_node &n, lst &sym_lst)
{
inherited::read_archive(n, sym_lst);
setflag(get_default_flags());
archive_node::archive_node_cit first = n.find_first("seq");
archive_node::archive_node_cit last = n.find_last("seq");
++last;
this->reserve(this->seq, last - first);
for (archive_node::archive_node_cit i=first; i<last; ++i) {
ex e;
n.find_ex_by_loc(i, e, sym_lst);
this->seq.push_back(e);
}
}
/** Archive the object. */
void archive(archive_node &n) const
{
inherited::archive(n);
const_iterator i = this->seq.begin(), end = this->seq.end();
while (i != end) {
n.add_ex("seq", *i);
++i;
}
}
protected:
ex conjugate() const
{
STLT *newcont = NULL;
for (const_iterator i=this->seq.begin(); i!=this->seq.end(); ++i) {
if (newcont) {
newcont->push_back(i->conjugate());
continue;
}
ex x = i->conjugate();
if (are_ex_trivially_equal(x, *i)) {
continue;
}
newcont = new STLT;
this->reserve(*newcont, this->seq.size());
for (const_iterator j=this->seq.begin(); j!=i; ++j) {
newcont->push_back(*j);
}
newcont->push_back(x);
}
if (newcont) {
ex result = thiscontainer(*newcont);
delete newcont;
return result;
}
return *this;
}
ex real_part() const
{
STLT cont;
this->reserve(cont, nops());
const_iterator b = begin();
const_iterator e = end();
for(const_iterator i=b; i!=e; ++i)
cont.push_back(i->real_part());
return thiscontainer(cont);
}
ex imag_part() const
{
STLT cont;
this->reserve(cont, nops());
const_iterator b = begin();
const_iterator e = end();
for(const_iterator i=b; i!=e; ++i)
cont.push_back(i->imag_part());
return thiscontainer(cont);
}
bool is_equal_same_type(const basic & other) const;
// new virtual functions which can be overridden by derived classes
protected:
/** Similar to duplicate(), but with a preset sequence. Must be
* overridden by derived classes. */
virtual ex thiscontainer(const STLT & v) const { return container(v); }
/** Similar to duplicate(), but with a preset sequence (which gets
* deleted). Must be overridden by derived classes. */
virtual ex thiscontainer(std::auto_ptr<STLT> vp) const { return container(vp); }
virtual void printseq(const print_context & c, char openbracket, char delim,
char closebracket, unsigned this_precedence,
unsigned upper_precedence = 0) const;
// non-virtual functions in this class
private:
void sort_(std::random_access_iterator_tag)
{
std::sort(this->seq.begin(), this->seq.end(), ex_is_less());
}
void sort_(std::input_iterator_tag)
{
this->seq.sort(ex_is_less());
}
void unique_()
{
typename STLT::iterator p = std::unique(this->seq.begin(), this->seq.end(), ex_is_equal());
this->seq.erase(p, this->seq.end());
}
public:
container & prepend(const ex & b);
container & append(const ex & b);
container & remove_first();
container & remove_last();
container & remove_all();
container & sort();
container & unique();
const_iterator begin() const {return this->seq.begin();}
const_iterator end() const {return this->seq.end();}
const_reverse_iterator rbegin() const {return this->seq.rbegin();}
const_reverse_iterator rend() const {return this->seq.rend();}
protected:
void do_print(const print_context & c, unsigned level) const;
void do_print_tree(const print_tree & c, unsigned level) const;
void do_print_python(const print_python & c, unsigned level) const;
void do_print_python_repr(const print_python_repr & c, unsigned level) const;
STLT evalchildren(int level) const;
std::auto_ptr<STLT> subschildren(const exmap & m, unsigned options = 0) const;
};
/** Default constructor */
template <template <class T, class = std::allocator<T> > class C>
container<C>::container()
{
setflag(get_default_flags());
}
template <template <class T, class = std::allocator<T> > class C>
void container<C>::do_print(const print_context & c, unsigned level) const
{
// always print brackets around seq, ignore upper_precedence
printseq(c, get_open_delim(), ',', get_close_delim(), precedence(), precedence()+1);
}
template <template <class T, class = std::allocator<T> > class C>
void container<C>::do_print_tree(const print_tree & c, unsigned level) const
{
c.s << std::string(level, ' ') << class_name() << " @" << this
<< std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
<< ", nops=" << nops()
<< std::endl;
const_iterator i = this->seq.begin(), end = this->seq.end();
while (i != end) {
i->print(c, level + c.delta_indent);
++i;
}
c.s << std::string(level + c.delta_indent,' ') << "=====" << std::endl;
}
template <template <class T, class = std::allocator<T> > class C>
void container<C>::do_print_python(const print_python & c, unsigned level) const
{
printseq(c, '[', ',', ']', precedence(), precedence()+1);
}
template <template <class T, class = std::allocator<T> > class C>
void container<C>::do_print_python_repr(const print_python_repr & c, unsigned level) const
{
c.s << class_name();
printseq(c, '(', ',', ')', precedence(), precedence()+1);
}
template <template <class T, class = std::allocator<T> > class C>
ex container<C>::op(size_t i) const
{
GINAC_ASSERT(i < nops());
const_iterator it = this->seq.begin();
advance(it, i);
return *it;
}
template <template <class T, class = std::allocator<T> > class C>
ex & container<C>::let_op(size_t i)
{
GINAC_ASSERT(i < nops());
ensure_if_modifiable();
typename STLT::iterator it = this->seq.begin();
advance(it, i);
return *it;
}
template <template <class T, class = std::allocator<T> > class C>
ex container<C>::eval(int level) const
{
if (level == 1)
return hold();
else
return thiscontainer(evalchildren(level));
}
template <template <class T, class = std::allocator<T> > class C>
ex container<C>::subs(const exmap & m, unsigned options) const
{
// After having subs'ed all children, this method subs'es one final
// level, but only if the intermediate result is a container! This is
// because if the intermediate result has eval'ed to a non-container a
// last level substitution would be wrong, as this example involving a
// function f and its inverse f^-1 shows:
// f(x).subs(x==f^-1(x))
// -> f(f^-1(x)) [subschildren]
// -> x [eval] /* must not subs(x==f^-1(x))! */
std::auto_ptr<STLT> vp = subschildren(m, options);
if (vp.get()) {
ex result(thiscontainer(vp));
if (is_a<container<C> >(result))
return ex_to<basic>(result).subs_one_level(m, options);
else
return result;
} else {
if (is_a<container<C> >(*this))
return subs_one_level(m, options);
else
return *this;
}
}
/** Compare two containers of the same type. */
template <template <class T, class = std::allocator<T> > class C>
int container<C>::compare_same_type(const basic & other) const
{
GINAC_ASSERT(is_a<container>(other));
const container & o = static_cast<const container &>(other);
const_iterator it1 = this->seq.begin(), it1end = this->seq.end(),
it2 = o.seq.begin(), it2end = o.seq.end();
while (it1 != it1end && it2 != it2end) {
int cmpval = it1->compare(*it2);
if (cmpval)
return cmpval;
++it1; ++it2;
}
return (it1 == it1end) ? (it2 == it2end ? 0 : -1) : 1;
}
template <template <class T, class = std::allocator<T> > class C>
bool container<C>::is_equal_same_type(const basic & other) const
{
GINAC_ASSERT(is_a<container>(other));
const container & o = static_cast<const container &>(other);
if (this->seq.size() != o.seq.size())
return false;
const_iterator it1 = this->seq.begin(), it1end = this->seq.end(), it2 = o.seq.begin();
while (it1 != it1end) {
if (!it1->is_equal(*it2))
return false;
++it1; ++it2;
}
return true;
}
/** Add element at front. */
template <template <class T, class = std::allocator<T> > class C>
container<C> & container<C>::prepend(const ex & b)
{
ensure_if_modifiable();
this->seq.push_front(b);
return *this;
}
/** Add element at back. */
template <template <class T, class = std::allocator<T> > class C>
container<C> & container<C>::append(const ex & b)
{
ensure_if_modifiable();
this->seq.push_back(b);
return *this;
}
/** Remove first element. */
template <template <class T, class = std::allocator<T> > class C>
container<C> & container<C>::remove_first()
{
ensure_if_modifiable();
this->seq.pop_front();
return *this;
}
/** Remove last element. */
template <template <class T, class = std::allocator<T> > class C>
container<C> & container<C>::remove_last()
{
ensure_if_modifiable();
this->seq.pop_back();
return *this;
}
/** Remove all elements. */
template <template <class T, class = std::allocator<T> > class C>
container<C> & container<C>::remove_all()
{
ensure_if_modifiable();
this->seq.clear();
return *this;
}
/** Sort elements. */
template <template <class T, class = std::allocator<T> > class C>
container<C> & container<C>::sort()
{
ensure_if_modifiable();
sort_(typename std::iterator_traits<typename STLT::iterator>::iterator_category());
return *this;
}
/** Specialization of container::unique_() for std::list. */
template<> inline void container<std::list>::unique_()
{
this->seq.unique(ex_is_equal());
}
/** Remove adjacent duplicate elements. */
template <template <class T, class = std::allocator<T> > class C>
container<C> & container<C>::unique()
{
ensure_if_modifiable();
unique_();
return *this;
}
/** Print sequence of contained elements. */
template <template <class T, class = std::allocator<T> > class C>
void container<C>::printseq(const print_context & c, char openbracket, char delim,
char closebracket, unsigned this_precedence,
unsigned upper_precedence) const
{
if (this_precedence <= upper_precedence)
c.s << openbracket;
if (!this->seq.empty()) {
const_iterator it = this->seq.begin(), itend = this->seq.end();
--itend;
while (it != itend) {
it->print(c, this_precedence);
c.s << delim;
++it;
}
it->print(c, this_precedence);
}
if (this_precedence <= upper_precedence)
c.s << closebracket;
}
template <template <class T, class = std::allocator<T> > class C>
typename container<C>::STLT container<C>::evalchildren(int level) const
{
if (level == 1)
return this->seq;
else if (level == -max_recursion_level)
throw std::runtime_error("max recursion level reached");
STLT s;
this->reserve(s, this->seq.size());
--level;
const_iterator it = this->seq.begin(), itend = this->seq.end();
while (it != itend) {
s.push_back(it->eval(level));
++it;
}
return s;
}
template <template <class T, class = std::allocator<T> > class C>
std::auto_ptr<typename container<C>::STLT> container<C>::subschildren(const exmap & m, unsigned options) const
{
// returns a NULL pointer if nothing had to be substituted
// returns a pointer to a newly created STLT otherwise
// (and relinquishes responsibility for the STLT)
const_iterator cit = this->seq.begin(), end = this->seq.end();
while (cit != end) {
const ex & subsed_ex = cit->subs(m, options);
if (!are_ex_trivially_equal(*cit, subsed_ex)) {
// copy first part of seq which hasn't changed
std::auto_ptr<STLT> s(new STLT(this->seq.begin(), cit));
this->reserve(*s, this->seq.size());
// insert changed element
s->push_back(subsed_ex);
++cit;
// copy rest
while (cit != end) {
s->push_back(cit->subs(m, options));
++cit;
}
return s;
}
++cit;
}
return std::auto_ptr<STLT>(0); // nothing has changed
}
} // namespace GiNaC
#endif // ndef GINAC_CONTAINER_H
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