3 * Interface to GiNaC's symbolic exponentiation (basis^exponent). */
6 * GiNaC Copyright (C) 1999-2006 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
23 #ifndef __GINAC_POWER_H__
24 #define __GINAC_POWER_H__
35 /** This class holds a two-component object, a basis and and exponent
36 * representing exponentiation. */
37 class power : public basic
39 GINAC_DECLARE_REGISTERED_CLASS(power, basic)
47 power(const ex & lh, const ex & rh) : inherited(&power::tinfo_static), basis(lh), exponent(rh) {}
48 template<typename T> power(const ex & lh, const T & rh) : inherited(&power::tinfo_static), basis(lh), exponent(rh) {}
50 // functions overriding virtual functions from base classes
52 unsigned precedence() const {return 60;}
53 bool info(unsigned inf) const;
55 ex op(size_t i) const;
56 ex map(map_function & 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;
63 ex series(const relational & s, int order, unsigned options = 0) const;
64 ex subs(const exmap & m, unsigned options = 0) const;
65 ex normal(exmap & repl, exmap & rev_lookup, int level = 0) const;
66 ex to_rational(exmap & repl) const;
67 ex to_polynomial(exmap & repl) const;
70 ex derivative(const symbol & s) const;
71 ex eval_ncmul(const exvector & v) const;
72 unsigned return_type() const;
73 const basic* return_type_tinfo() const;
74 ex expand(unsigned options = 0) const;
76 // new virtual functions which can be overridden by derived classes
79 // non-virtual functions in this class
81 void print_power(const print_context & c, const char *powersymbol, const char *openbrace, const char *closebrace, unsigned level) const;
82 void do_print_dflt(const print_dflt & c, unsigned level) const;
83 void do_print_latex(const print_latex & c, unsigned level) const;
84 void do_print_csrc(const print_csrc & c, unsigned level) const;
85 void do_print_python(const print_python & c, unsigned level) const;
86 void do_print_python_repr(const print_python_repr & c, unsigned level) const;
88 ex expand_add(const add & a, int n, unsigned options) const;
89 ex expand_add_2(const add & a, unsigned options) const;
90 ex expand_mul(const mul & m, const numeric & n, unsigned options, bool from_expand = false) const;
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)
109 template<typename T1, typename T2>
110 inline ex pow(const T1 & b, const T2 & e)
112 return power(ex(b), ex(e));
115 /** Square root expression. Returns a power-object with exponent 1/2. */
116 inline ex sqrt(const ex & a)
118 extern const ex _ex1_2;
119 return power(a,_ex1_2);
124 #endif // ndef __GINAC_POWER_H__