* Implementation of GiNaC's symbolic objects. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * 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
*
* 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include <string>
-#include <stdexcept>
-
#include "symbol.h"
#include "lst.h"
-#include "idx.h"
#include "archive.h"
-#include "debugmsg.h"
+#include "tostring.h"
#include "utils.h"
+#include "hash_seed.h"
+#include "inifcns.h"
+
+#include <map>
+#include <stdexcept>
+#include <string>
-#ifndef NO_GINAC_NAMESPACE
namespace GiNaC {
-#endif // ndef NO_GINAC_NAMESPACE
-GINAC_IMPLEMENT_REGISTERED_CLASS(symbol, basic)
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(symbol, basic,
+ print_func<print_context>(&symbol::do_print).
+ print_func<print_latex>(&symbol::do_print_latex).
+ print_func<print_tree>(&symbol::do_print_tree).
+ print_func<print_python_repr>(&symbol::do_print_python_repr))
//////////
-// default constructor, destructor, copy constructor assignment operator and helpers
+// default constructor
//////////
-symbol::symbol() : inherited(TINFO_symbol)
-{
- debugmsg("symbol default constructor", LOGLEVEL_CONSTRUCT);
- serial=next_serial++;
- name=autoname_prefix()+ToString(serial);
- asexinfop=new assigned_ex_info;
- setflag(status_flags::evaluated);
-}
+// symbol
-symbol::~symbol()
+symbol::symbol() : serial(next_serial++), name(""), TeX_name("")
{
- debugmsg("symbol destructor", LOGLEVEL_DESTRUCT);
- destroy(0);
+ setflag(status_flags::evaluated | status_flags::expanded);
}
-symbol::symbol(symbol const & other)
-{
- debugmsg("symbol copy constructor", LOGLEVEL_CONSTRUCT);
- copy(other);
-}
+// realsymbol
-void symbol::copy(symbol const & other)
-{
- inherited::copy(other);
- name=other.name;
- serial=other.serial;
- asexinfop=other.asexinfop;
- ++asexinfop->refcount;
-}
+realsymbol::realsymbol() : symbol() { }
-void symbol::destroy(bool call_parent)
-{
- if (--asexinfop->refcount == 0) {
- delete asexinfop;
- }
- if (call_parent) {
- inherited::destroy(call_parent);
- }
-}
+// possymbol
-// how should the following be interpreted?
-// symbol x;
-// symbol y;
-// x=y;
-// probably as: x=ex(y);
+possymbol::possymbol() : realsymbol() { }
//////////
// other constructors
// public
-symbol::symbol(string const & initname) : inherited(TINFO_symbol)
+// symbol
+
+symbol::symbol(const std::string & initname) : serial(next_serial++),
+ name(initname), TeX_name("")
{
- debugmsg("symbol constructor from string", LOGLEVEL_CONSTRUCT);
- name=initname;
- serial=next_serial++;
- asexinfop=new assigned_ex_info;
- setflag(status_flags::evaluated);
+ setflag(status_flags::evaluated | status_flags::expanded);
}
+symbol::symbol(const std::string & initname, const std::string & texname) :
+ serial(next_serial++), name(initname), TeX_name(texname)
+{
+ setflag(status_flags::evaluated | status_flags::expanded);
+}
+
+// realsymbol
+
+realsymbol::realsymbol(const std::string & initname) : symbol(initname) { }
+
+realsymbol::realsymbol(const std::string & initname, const std::string & texname)
+ : symbol(initname, texname) { }
+
+// possymbol
+
+possymbol::possymbol(const std::string & initname) : realsymbol(initname) { }
+
+possymbol::possymbol(const std::string & initname, const std::string & texname)
+ : realsymbol(initname, texname) { }
+
//////////
// archiving
//////////
-/** Construct object from archive_node. */
-symbol::symbol(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+/** Read object from archive_node. */
+void symbol::read_archive(const archive_node &n, lst &sym_lst)
{
- debugmsg("symbol constructor from archive_node", LOGLEVEL_CONSTRUCT);
- serial = next_serial++;
- if (!(n.find_string("name", name)))
- name = autoname_prefix() + ToString(serial);
- asexinfop = new assigned_ex_info;
- setflag(status_flags::evaluated);
-}
-
-/** Unarchive the object. */
-ex symbol::unarchive(const archive_node &n, const lst &sym_lst)
-{
- ex s = (new symbol(n, sym_lst))->setflag(status_flags::dynallocated);
-
- // If symbol is in sym_lst, return the existing symbol
- for (int i=0; i<sym_lst.nops(); i++) {
- if (is_ex_of_type(sym_lst.op(i), symbol) && (ex_to_symbol(sym_lst.op(i)).name == ex_to_symbol(s).name))
- return sym_lst.op(i);
- }
- return s;
+ inherited::read_archive(n, sym_lst);
+ serial = next_serial++;
+ std::string tmp_name;
+ n.find_string("name", tmp_name);
+
+ // If symbol is in sym_lst, return the existing symbol
+ for (auto & s : sym_lst) {
+ if (is_a<symbol>(s) && (ex_to<symbol>(s).name == tmp_name)) {
+ *this = ex_to<symbol>(s);
+ // XXX: This method is responsible for reading realsymbol
+ // and possymbol objects too. But
+ // basic::operator=(const basic& other)
+ // resets status_flags::evaluated if other and *this are
+ // of different types. Usually this is a good idea, but
+ // doing this for symbols is wrong (for one, nothing is
+ // going to set status_flags::evaluated, evaluation will
+ // loop forever). Therefore we need to restore flags.
+ setflag(status_flags::evaluated | status_flags::expanded);
+ return;
+ }
+ }
+ name = tmp_name;
+ if (!n.find_string("TeXname", TeX_name))
+ TeX_name = std::string("");
+ setflag(status_flags::evaluated | status_flags::expanded);
+
+ setflag(status_flags::dynallocated);
+ sym_lst.append(*this);
}
/** Archive the object. */
void symbol::archive(archive_node &n) const
{
- inherited::archive(n);
- n.add_string("name", name);
+ inherited::archive(n);
+ // XXX: we should not archive anonymous symbols.
+ if (!name.empty())
+ n.add_string("name", name);
+ if (!TeX_name.empty())
+ n.add_string("TeX_name", TeX_name);
}
//////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
//////////
-// public
+/** Return default TeX name for symbol. This recognizes some greek letters. */
+static const std::string& get_default_TeX_name(const std::string& name);
-basic *symbol::duplicate() const
-{
- debugmsg("symbol duplicate", LOGLEVEL_DUPLICATE);
- return new symbol(*this);
-}
-
-void symbol::print(ostream & os, unsigned upper_precedence) const
-{
- debugmsg("symbol print",LOGLEVEL_PRINT);
- os << name;
-}
+// public
-void symbol::printraw(ostream & os) const
+std::string symbol::get_name() const
{
- debugmsg("symbol printraw",LOGLEVEL_PRINT);
- os << "symbol(" << "name=" << name << ",serial=" << serial
- << ",hash=" << hashvalue << ",flags=" << flags << ")";
+ if (name.empty()) {
+ std::ostringstream s;
+ s << "symbol" << serial;
+ name = s.str();
+ }
+ return name;
}
-void symbol::printtree(ostream & os, unsigned indent) const
-{
- debugmsg("symbol printtree",LOGLEVEL_PRINT);
- os << string(indent,' ') << name << " (symbol): "
- << "serial=" << serial
- << ", hash=" << hashvalue << " (0x" << hex << hashvalue << dec << ")"
- << ", flags=" << flags << endl;
-}
+// protected
-void symbol::printcsrc(ostream & os, unsigned type, unsigned upper_precedence) const
+void symbol::do_print(const print_context & c, unsigned level) const
{
- debugmsg("symbol print csrc", LOGLEVEL_PRINT);
- os << name;
+ c.s << get_name();
}
-bool symbol::info(unsigned inf) const
+void symbol::do_print_latex(const print_latex & c, unsigned level) const
{
- if (inf==info_flags::symbol) return true;
- if (inf==info_flags::polynomial ||
- inf==info_flags::integer_polynomial ||
- inf==info_flags::cinteger_polynomial ||
- inf==info_flags::rational_polynomial ||
- inf==info_flags::crational_polynomial ||
- inf==info_flags::rational_function) {
- return true;
- } else {
- return inherited::info(inf);
- }
+ if (!TeX_name.empty())
+ c.s << TeX_name;
+ else if (!name.empty())
+ c.s << get_default_TeX_name(name);
+ else
+ c.s << "symbol" << serial;
}
-ex symbol::expand(unsigned options) const
+void symbol::do_print_tree(const print_tree & c, unsigned level) const
{
- return this->hold();
+ c.s << std::string(level, ' ') << name << " (" << class_name() << ")" << " @" << this
+ << ", serial=" << serial
+ << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
+ << ", domain=" << get_domain()
+ << std::endl;
}
-bool symbol::has(ex const & other) const
+void symbol::do_print_python_repr(const print_python_repr & c, unsigned level) const
{
- if (is_equal(*other.bp)) return true;
- return false;
+ c.s << class_name() << "('";
+ if (!name.empty())
+ c.s << name;
+ else
+ c.s << "symbol" << serial;
+ if (!TeX_name.empty())
+ c.s << "','" << TeX_name;
+ c.s << "')";
}
-int symbol::degree(symbol const & s) const
+bool symbol::info(unsigned inf) const
{
- return compare_same_type(s)==0 ? 1 : 0;
+ switch (inf) {
+ case info_flags::symbol:
+ case info_flags::polynomial:
+ case info_flags::integer_polynomial:
+ case info_flags::cinteger_polynomial:
+ case info_flags::rational_polynomial:
+ case info_flags::crational_polynomial:
+ case info_flags::rational_function:
+ case info_flags::expanded:
+ return true;
+ case info_flags::real:
+ return get_domain() == domain::real || get_domain() == domain::positive;
+ case info_flags::positive:
+ case info_flags::nonnegative:
+ return get_domain() == domain::positive;
+ case info_flags::has_indices:
+ return false;
+ }
+ return inherited::info(inf);
}
-int symbol::ldegree(symbol const & s) const
+ex symbol::conjugate() const
{
- return compare_same_type(s)==0 ? 1 : 0;
+ return conjugate_function(*this).hold();
}
-ex symbol::coeff(symbol const & s, int const n) const
+ex symbol::real_part() const
{
- if (compare_same_type(s)==0) {
- return n==1 ? _ex1() : _ex0();
- } else {
- return n==0 ? *this : _ex0();
- }
+ return real_part_function(*this).hold();
}
-ex symbol::eval(int level) const
+ex symbol::imag_part() const
{
- if (level == -max_recursion_level) {
- throw(std::runtime_error("max recursion level reached"));
- }
-
- if (asexinfop->is_assigned) {
- setflag(status_flags::evaluated);
- if (level==1) {
- return (asexinfop->assigned_expression);
- } else {
- return (asexinfop->assigned_expression).eval(level);
- }
- } else {
- return this->hold();
- }
+ return imag_part_function(*this).hold();
}
-ex symbol::subs(lst const & ls, lst const & lr) const
+bool symbol::is_polynomial(const ex & var) const
{
- GINAC_ASSERT(ls.nops()==lr.nops());
-#ifdef DO_GINAC_ASSERT
- for (unsigned i=0; i<ls.nops(); i++) {
- GINAC_ASSERT(is_ex_exactly_of_type(ls.op(i),symbol)||
- is_ex_of_type(ls.op(i),idx));
- }
-#endif // def DO_GINAC_ASSERT
-
- for (unsigned i=0; i<ls.nops(); i++) {
- if (is_ex_exactly_of_type(ls.op(i),symbol)) {
- if (compare_same_type(ex_to_symbol(ls.op(i)))==0) return lr.op(i);
- }
- }
- return *this;
+ return true;
}
// protected
-int symbol::compare_same_type(basic const & other) const
+/** Implementation of ex::diff() for single differentiation of a symbol.
+ * It returns 1 or 0.
+ *
+ * @see ex::diff */
+ex symbol::derivative(const symbol & s) const
{
- GINAC_ASSERT(is_of_type(other,symbol));
- const symbol *o = static_cast<const symbol *>(&other);
- if (serial==o->serial) return 0;
- return serial < o->serial ? -1 : 1;
+ if (compare_same_type(s))
+ return _ex0;
+ else
+ return _ex1;
}
-bool symbol::is_equal_same_type(basic const & other) const
+int symbol::compare_same_type(const basic & other) const
{
- GINAC_ASSERT(is_of_type(other,symbol));
- const symbol *o = static_cast<const symbol *>(&other);
- return serial==o->serial;
+ GINAC_ASSERT(is_a<symbol>(other));
+ const symbol *o = static_cast<const symbol *>(&other);
+ if (serial==o->serial) return 0;
+ return serial < o->serial ? -1 : 1;
}
-unsigned symbol::return_type(void) const
+bool symbol::is_equal_same_type(const basic & other) const
{
- return return_types::commutative;
-}
-
-unsigned symbol::return_type_tinfo(void) const
-{
- return tinfo_key;
+ GINAC_ASSERT(is_a<symbol>(other));
+ const symbol *o = static_cast<const symbol *>(&other);
+ return serial==o->serial;
}
-unsigned symbol::calchash(void) const
+unsigned symbol::calchash() const
{
- // return golden_ratio_hash(tinfo()) ^ serial;
- hashvalue=golden_ratio_hash(golden_ratio_hash(0x55555555U ^ serial));
- setflag(status_flags::hash_calculated);
- return hashvalue;
+ unsigned seed = make_hash_seed(typeid(*this));
+ hashvalue = golden_ratio_hash(seed ^ serial);
+ setflag(status_flags::hash_calculated);
+ return hashvalue;
}
//////////
// non-virtual functions in this class
//////////
-// public
-
-void symbol::assign(ex const & value)
-{
- asexinfop->is_assigned=1;
- asexinfop->assigned_expression=value;
- clearflag(status_flags::evaluated);
-}
-
-void symbol::unassign(void)
+/** Return default TeX name for symbol. This recognizes some greek letters. */
+static const std::string& get_default_TeX_name(const std::string& name)
{
- if (asexinfop->is_assigned) {
- asexinfop->is_assigned=0;
- asexinfop->assigned_expression=_ex0();
- }
- setflag(status_flags::evaluated);
+ static std::map<std::string, std::string> standard_names;
+ static bool names_initialized = false;
+ if (!names_initialized) {
+ standard_names["alpha"] = std::string("\\alpha");
+ standard_names["beta"] = std::string("\\beta");;
+ standard_names["gamma"] = std::string("\\gamma");;
+ standard_names["delta"] = std::string("\\delta");;
+ standard_names["epsilon"] = std::string("\\epsilon");
+ standard_names["varepsilon"] = std::string("\\varepsilon");
+ standard_names["zeta"] = std::string("\\zeta");
+ standard_names["eta" ] = std::string("\\eta" );
+ standard_names["theta"] = std::string("\\theta");
+ standard_names["vartheta"] = std::string("\\vartheta");
+ standard_names["iota"] = std::string("\\iota");
+ standard_names["kappa"] = std::string("\\kappa");
+ standard_names["lambda"] = std::string("\\lambda");
+ standard_names["mu"] = std::string("\\mu");
+ standard_names["nu"] = std::string("\\nu");
+ standard_names["xi"] = std::string("\\xi");
+ standard_names["omicron"] = std::string("\\omicron");
+ standard_names["pi"] = std::string("\\pi");
+ standard_names["varpi"] = std::string("\\varpi");
+ standard_names["rho"] = std::string("\\rho");
+ standard_names["varrho"] = std::string("\\varrho");
+ standard_names["sigma"] = std::string("\\sigma");
+ standard_names["varsigma"] = std::string("\\varsigma");
+ standard_names["tau"] = std::string("\\tau");
+ standard_names["upsilon"] = std::string("\\upsilon");
+ standard_names["phi"] = std::string("\\phi");
+ standard_names["varphi"] = std::string("\\varphi");
+ standard_names["chi"] = std::string("\\chi");
+ standard_names["psi"] = std::string("\\psi");
+ standard_names["omega"] = std::string("\\omega");
+ standard_names["Gamma"] = std::string("\\Gamma");
+ standard_names["Delta"] = std::string("\\Delta");
+ standard_names["Theta"] = std::string("\\Theta");
+ standard_names["Lambda"] = std::string("\\Lambda");
+ standard_names["Xi"] = std::string("\\Xi");
+ standard_names["Pi"] = std::string("\\Pi");
+ standard_names["Sigma"] = std::string("\\Sigma");
+ standard_names["Upsilon"] = std::string("\\Upsilon");
+ standard_names["Phi"] = std::string("\\Phi");
+ standard_names["Psi"] = std::string("\\Psi");
+ standard_names["Omega"] = std::string("\\Omega");
+ names_initialized = true;
+ }
+ std::map<std::string, std::string>::const_iterator it = standard_names.find(name);
+ if (it != standard_names.end())
+ return it->second;
+ else
+ return name;
}
-// private
-
-string & symbol::autoname_prefix(void)
-{
- static string * s=new string("symbol");
- return *s;
-}
+GINAC_BIND_UNARCHIVER(symbol);
+GINAC_BIND_UNARCHIVER(realsymbol);
+GINAC_BIND_UNARCHIVER(possymbol);
//////////
// static member variables
// private
-unsigned symbol::next_serial=0;
-
-// string const symbol::autoname_prefix="symbol";
-
-//////////
-// global constants
-//////////
-
-const symbol some_symbol;
-type_info const & typeid_symbol=typeid(some_symbol);
-
-//////////
-// subclass assigned_ex_info
-//////////
-
-/** Default ctor. Defaults to unassigned. */
-symbol::assigned_ex_info::assigned_ex_info(void) : is_assigned(0), refcount(1)
-{
-}
+unsigned symbol::next_serial = 0;
-#ifndef NO_GINAC_NAMESPACE
} // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
git://www.ginac.de / ginac.git / blobdiff