* Interface to GiNaC's symbolic exponentiation (basis^exponent). */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2008 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
*/
#ifndef __GINAC_POWER_H__
#include "basic.h"
#include "ex.h"
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
class numeric;
class add;
+class mul;
/** This class holds a two-component object, a basis and and exponent
* representing exponentiation. */
class power : public basic
{
- GINAC_DECLARE_REGISTERED_CLASS(power, basic)
-
- friend class mul;
-
+ GINAC_DECLARE_REGISTERED_CLASS(power, basic)
+
+ friend class mul;
+
// member functions
-
- // default constructor, destructor, copy constructor assignment operator and helpers
-public:
- power();
- ~power();
- power(const power & other);
- const power & operator=(const power & other);
-protected:
- void copy(const power & other);
- void destroy(bool call_parent);
-
- // other constructors
+
+ // other constructors
public:
- power(const ex & lh, const ex & rh);
- power(const ex & lh, const numeric & rh);
-
- // functions overriding virtual functions from bases classes
+ power(const ex & lh, const ex & rh) : inherited(&power::tinfo_static), basis(lh), exponent(rh) {}
+ template<typename T> power(const ex & lh, const T & rh) : inherited(&power::tinfo_static), basis(lh), exponent(rh) {}
+
+ // functions overriding virtual functions from base classes
public:
- basic * duplicate() const;
- void print(ostream & os, unsigned upper_precedence=0) const;
- void printraw(ostream & os) const;
- void printtree(ostream & os, unsigned indent) const;
- void printcsrc(ostream & os, unsigned type, unsigned upper_precedence=0) const;
- bool info(unsigned inf) const;
- unsigned nops() const;
- ex & let_op(int i);
- int degree(const symbol & s) const;
- int ldegree(const symbol & s) const;
- ex coeff(const symbol & s, int n=1) const;
- ex eval(int level=0) const;
- ex evalf(int level=0) const;
- ex series(const symbol & s, const ex & point, int order) const;
- ex subs(const lst & ls, const lst & lr) const;
- ex normal(lst &sym_lst, lst &repl_lst, int level=0) const;
- ex simplify_ncmul(const exvector & v) const;
+ unsigned precedence() const {return 60;}
+ bool info(unsigned inf) const;
+ size_t nops() const;
+ ex op(size_t i) const;
+ ex map(map_function & f) const;
+ bool is_polynomial(const ex & var) const;
+ int degree(const ex & s) const;
+ int ldegree(const ex & s) const;
+ ex coeff(const ex & s, int n = 1) const;
+ ex eval(int level=0) const;
+ ex evalf(int level=0) const;
+ ex evalm() const;
+ ex series(const relational & s, int order, unsigned options = 0) const;
+ ex subs(const exmap & m, unsigned options = 0) const;
+ bool has(const ex & other, unsigned options = 0) const;
+ ex normal(exmap & repl, exmap & rev_lookup, int level = 0) const;
+ ex to_rational(exmap & repl) const;
+ ex to_polynomial(exmap & repl) const;
+ ex conjugate() const;
+ ex real_part() const;
+ ex imag_part() const;
protected:
- ex derivative(const symbol & s) const;
- int compare_same_type(const basic & other) const;
- unsigned return_type(void) const;
- unsigned return_type_tinfo(void) const;
- ex expand(unsigned options=0) const;
-
- // new virtual functions which can be overridden by derived classes
- // none
-
- // non-virtual functions in this class
+ ex derivative(const symbol & s) const;
+ ex eval_ncmul(const exvector & v) const;
+ unsigned return_type() const;
+ return_type_t return_type_tinfo() const;
+ ex expand(unsigned options = 0) const;
+
+ // new virtual functions which can be overridden by derived classes
+ // none
+
+ // non-virtual functions in this class
protected:
- ex expand_add(const add & a, int n) const;
- ex expand_add_2(const add & a) const;
- ex expand_mul(const mul & m, const numeric & n) const;
- //ex expand_commutative_3(const ex & basis, const numeric & exponent,
- // unsigned options) const;
- // ex expand_noncommutative(const ex & basis, const numeric & exponent, unsigned options) const;
-
+ void print_power(const print_context & c, const char *powersymbol, const char *openbrace, const char *closebrace, unsigned level) const;
+ void do_print_dflt(const print_dflt & c, unsigned level) const;
+ void do_print_latex(const print_latex & c, unsigned level) const;
+ void do_print_csrc(const print_csrc & 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;
+ void do_print_csrc_cl_N(const print_csrc_cl_N & c, unsigned level) const;
+
+ ex expand_add(const add & a, int n, unsigned options) const;
+ ex expand_add_2(const add & a, unsigned options) const;
+ ex expand_mul(const mul & m, const numeric & n, unsigned options, bool from_expand = false) const;
+
// member variables
-
+
protected:
- ex basis;
- ex exponent;
- static unsigned precedence;
+ ex basis;
+ ex exponent;
};
-// global constants
-
-extern const power some_power;
-extern const type_info & typeid_power;
-
-// utility functions
-inline const power &ex_to_power(const ex &e)
-{
- return static_cast<const power &>(*e.bp);
-}
-
// wrapper functions
/** Symbolic exponentiation. Returns a power-object as a new expression.
* @param b the basis expression
* @param e the exponent expression */
inline ex pow(const ex & b, const ex & e)
-{ return power(b,e); }
+{
+ return power(b, e);
+}
+template<typename T1, typename T2>
+inline ex pow(const T1 & b, const T2 & e)
+{
+ return power(ex(b), ex(e));
+}
-/** Square root expression. Returns a power-object with exponent 1/2 as a new
- * expression. */
-ex sqrt(const ex & a);
+/** Square root expression. Returns a power-object with exponent 1/2. */
+inline ex sqrt(const ex & a)
+{
+ extern const ex _ex1_2;
+ return power(a,_ex1_2);
+}
-#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
#endif // ndef __GINAC_POWER_H__
git://www.ginac.de / ginac.git / blobdiff