3 * Interface to GiNaC's symbolic exponentiation (basis^exponent). */
6 * GiNaC Copyright (C) 1999-2001 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__
34 /** This class holds a two-component object, a basis and and exponent
35 * representing exponentiation. */
36 class power : public basic
38 GINAC_DECLARE_REGISTERED_CLASS(power, basic)
46 power(const ex & lh, const ex & rh);
47 power(const ex & lh, const numeric & rh);
49 // functions overriding virtual functions from bases classes
51 void print(const print_context & c, unsigned level = 0) const;
52 unsigned precedence(void) const {return 60;}
53 bool info(unsigned inf) const;
54 unsigned nops() const;
56 ex map(map_func f) const;
57 int degree(const ex & s) const;
58 int ldegree(const ex & s) const;
59 ex coeff(const ex & s, int n = 1) const;
60 ex eval(int level=0) const;
61 ex evalf(int level=0) const;
62 ex series(const relational & s, int order, unsigned options = 0) const;
63 ex subs(const lst & ls, const lst & lr, bool no_pattern = false) const;
64 ex normal(lst &sym_lst, lst &repl_lst, int level = 0) const;
65 ex to_rational(lst &repl_lst) const;
66 exvector get_free_indices(void) const;
67 ex simplify_ncmul(const exvector & v) const;
69 ex derivative(const symbol & s) const;
70 unsigned return_type(void) const;
71 unsigned return_type_tinfo(void) const;
72 ex expand(unsigned options = 0) const;
74 // new virtual functions which can be overridden by derived classes
77 // non-virtual functions in this class
79 ex expand_add(const add & a, int n) const;
80 ex expand_add_2(const add & a) const;
81 ex expand_mul(const mul & m, const numeric & n) const;
82 //ex expand_commutative_3(const ex & basis, const numeric & exponent,
83 // unsigned options) const;
84 //ex expand_noncommutative(const ex & basis, const numeric & exponent, unsigned options) const;
94 inline const power &ex_to_power(const ex &e)
96 return static_cast<const power &>(*e.bp);
101 /** Symbolic exponentiation. Returns a power-object as a new expression.
103 * @param b the basis expression
104 * @param e the exponent expression */
105 inline ex pow(const ex & b, const ex & e)
110 /** Square root expression. Returns a power-object with exponent 1/2. */
111 ex sqrt(const ex & a);
115 #endif // ndef __GINAC_POWER_H__