3 * Interface to GiNaC's initially known functions. */
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_INIFCNS_H__
24 #define __GINAC_INIFCNS_H__
31 /** Absolute value. */
32 DECLARE_FUNCTION_1P(abs)
35 DECLARE_FUNCTION_1P(csgn)
37 /** Eta function: log(a*b) == log(a) + log(b) + eta(a, b). */
38 DECLARE_FUNCTION_2P(eta)
41 DECLARE_FUNCTION_1P(sin)
44 DECLARE_FUNCTION_1P(cos)
47 DECLARE_FUNCTION_1P(tan)
49 /** Exponential function. */
50 DECLARE_FUNCTION_1P(exp)
52 /** Natural logarithm. */
53 DECLARE_FUNCTION_1P(log)
55 /** Inverse sine (arc sine). */
56 DECLARE_FUNCTION_1P(asin)
58 /** Inverse cosine (arc cosine). */
59 DECLARE_FUNCTION_1P(acos)
61 /** Inverse tangent (arc tangent). */
62 DECLARE_FUNCTION_1P(atan)
64 /** Inverse tangent with two arguments. */
65 DECLARE_FUNCTION_2P(atan2)
67 /** Hyperbolic Sine. */
68 DECLARE_FUNCTION_1P(sinh)
70 /** Hyperbolic Cosine. */
71 DECLARE_FUNCTION_1P(cosh)
73 /** Hyperbolic Tangent. */
74 DECLARE_FUNCTION_1P(tanh)
76 /** Inverse hyperbolic Sine (area hyperbolic sine). */
77 DECLARE_FUNCTION_1P(asinh)
79 /** Inverse hyperbolic Cosine (area hyperbolic cosine). */
80 DECLARE_FUNCTION_1P(acosh)
82 /** Inverse hyperbolic Tangent (area hyperbolic tangent). */
83 DECLARE_FUNCTION_1P(atanh)
86 DECLARE_FUNCTION_1P(Li2)
89 DECLARE_FUNCTION_1P(Li3)
91 // overloading at work: we cannot use the macros here
92 /** Riemann's Zeta-function. */
93 extern const unsigned function_index_zeta1;
95 inline function zeta(const T1 & p1) {
96 return function(function_index_zeta1, ex(p1));
98 /** Derivatives of Riemann's Zeta-function. */
99 extern const unsigned function_index_zeta2;
100 template<typename T1, typename T2>
101 inline function zeta(const T1 & p1, const T2 & p2) {
102 return function(function_index_zeta2, ex(p1), ex(p2));
105 /** Gamma-function. */
106 DECLARE_FUNCTION_1P(lgamma)
107 DECLARE_FUNCTION_1P(tgamma)
109 /** Beta-function. */
110 DECLARE_FUNCTION_2P(beta)
112 // overloading at work: we cannot use the macros here
113 /** Psi-function (aka digamma-function). */
114 extern const unsigned function_index_psi1;
115 template<typename T1>
116 inline function psi(const T1 & p1) {
117 return function(function_index_psi1, ex(p1));
119 /** Derivatives of Psi-function (aka polygamma-functions). */
120 extern const unsigned function_index_psi2;
121 template<typename T1, typename T2>
122 inline function psi(const T1 & p1, const T2 & p2) {
123 return function(function_index_psi2, ex(p1), ex(p2));
126 /** Factorial function. */
127 DECLARE_FUNCTION_1P(factorial)
129 /** Binomial function. */
130 DECLARE_FUNCTION_2P(binomial)
132 /** Order term function (for truncated power series). */
133 DECLARE_FUNCTION_1P(Order)
135 ex lsolve(const ex &eqns, const ex &symbols, unsigned options = determinant_algo::automatic);
137 /** Check whether a function is the Order (O(n)) function. */
138 inline bool is_order_function(const ex & e)
140 return is_ex_the_function(e, Order);
145 #endif // ndef __GINAC_INIFCNS_H__