3 * Interface to GiNaC's symbolic exponentiation (basis^exponent). */
6 * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
8 * This program is free software; you can redistribute it and/or modify
9 * it under the terms of the GNU General Public License as published by
10 * the Free Software Foundation; either version 2 of the License, or
11 * (at your option) any later version.
13 * This program is distributed in the hope that it will be useful,
14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 * GNU General Public License for more details.
18 * You should have received a copy of the GNU General Public License
19 * along with this program; if not, write to the Free Software
20 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
23 #ifndef __GINAC_POWER_H__
24 #define __GINAC_POWER_H__
26 #include <ginac/basic.h>
34 /** This class holds a two-component object, a basis and and exponent
35 * representing exponentiation. */
36 class power : public basic
42 // default constructor, destructor, copy constructor assignment operator and helpers
46 power(power const & other);
47 power const & operator=(power const & other);
49 void copy(power const & other);
50 void destroy(bool call_parent);
54 power(ex const & lh, ex const & rh);
55 power(ex const & lh, numeric const & rh);
57 // functions overriding virtual functions from bases classes
59 basic * duplicate() const;
60 void printraw(ostream & os) const;
61 void printtree(ostream & os, unsigned indent) const;
62 void print(ostream & os, unsigned upper_precedence=0) const;
63 void printcsrc(ostream & os, unsigned type, unsigned upper_precedence=0) const;
64 bool info(unsigned inf) const;
66 ex & let_op(int const i);
67 int degree(symbol const & s) const;
68 int ldegree(symbol const & s) const;
69 ex coeff(symbol const & s, int const n=1) const;
70 ex eval(int level=0) const;
71 ex evalf(int level=0) const;
72 ex diff(symbol const & s) const;
73 ex series(symbol const & s, ex const & point, int order) const;
74 ex subs(lst const & ls, lst const & lr) const;
75 ex normal(lst &sym_lst, lst &repl_lst, int level=0) const;
76 ex simplify_ncmul(exvector const & v) const;
78 int compare_same_type(basic const & other) const;
79 unsigned return_type(void) const;
80 unsigned return_type_tinfo(void) const;
81 ex expand(unsigned options=0) const;
83 // new virtual functions which can be overridden by derived classes
86 // non-virtual functions in this class
88 ex expand_add(add const & a, int const n) const;
89 ex expand_add_2(add const & a) const;
90 ex expand_mul(mul const & m, numeric const & n) const;
91 //ex expand_commutative_3(ex const & basis, numeric const & exponent,
92 // unsigned options) const;
93 // ex expand_noncommutative(ex const & basis, numeric const & exponent, unsigned options) const;
100 static unsigned precedence;
105 extern const power some_power;
106 extern type_info const & typeid_power;
109 inline const power &ex_to_power(const ex &e)
111 return static_cast<const power &>(*e.bp);
116 /** Symbolic exponentiation. Returns a power-object as a new expression.
118 * @param b the basis expression
119 * @param e the exponent expression */
120 inline ex pow(ex const & b, ex const & e)
121 { return power(b,e); }
123 /** Square root expression. Returns a power-object with exponent 1/2 as a new
125 inline ex sqrt(ex const & a)
126 { return power(a,exHALF()); }
130 #endif // ndef __GINAC_POWER_H__