3 * Interface to GiNaC's initially known functions. */
6 * GiNaC Copyright (C) 1999-2000 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__
29 #ifndef NO_NAMESPACE_GINAC
31 #endif // ndef NO_NAMESPACE_GINAC
33 /** Absolute value. */
34 DECLARE_FUNCTION_1P(abs)
37 DECLARE_FUNCTION_1P(csgn)
39 /** Eta function: log(a*b) == log(a) + log(b) + eta(a, b). */
40 DECLARE_FUNCTION_2P(eta)
43 DECLARE_FUNCTION_1P(sin)
46 DECLARE_FUNCTION_1P(cos)
49 DECLARE_FUNCTION_1P(tan)
51 /** Exponential function. */
52 DECLARE_FUNCTION_1P(exp)
54 /** Natural logarithm. */
55 DECLARE_FUNCTION_1P(log)
57 /** Inverse sine (arc sine). */
58 DECLARE_FUNCTION_1P(asin)
60 /** Inverse cosine (arc cosine). */
61 DECLARE_FUNCTION_1P(acos)
63 /** Inverse tangent (arc tangent). */
64 DECLARE_FUNCTION_1P(atan)
66 /** Inverse tangent with two arguments. */
67 DECLARE_FUNCTION_2P(atan2)
69 /** Hyperbolic Sine. */
70 DECLARE_FUNCTION_1P(sinh)
72 /** Hyperbolic Cosine. */
73 DECLARE_FUNCTION_1P(cosh)
75 /** Hyperbolic Tangent. */
76 DECLARE_FUNCTION_1P(tanh)
78 /** Inverse hyperbolic Sine (area hyperbolic sine). */
79 DECLARE_FUNCTION_1P(asinh)
81 /** Inverse hyperbolic Cosine (area hyperbolic cosine). */
82 DECLARE_FUNCTION_1P(acosh)
84 /** Inverse hyperbolic Tangent (area hyperbolic tangent). */
85 DECLARE_FUNCTION_1P(atanh)
88 DECLARE_FUNCTION_1P(Li2)
91 DECLARE_FUNCTION_1P(Li3)
93 // overloading at work: we cannot use the macros here
94 /** Riemann's Zeta-function. */
95 extern const unsigned function_index_zeta1;
96 inline function zeta(const ex & p1) {
97 return function(function_index_zeta1, p1);
99 /** Derivatives of Riemann's Zeta-function. */
100 extern const unsigned function_index_zeta2;
101 inline function zeta(const ex & p1, const ex & p2) {
102 return function(function_index_zeta2, p1, 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 inline function psi(const ex & p1) {
116 return function(function_index_psi1, p1);
118 /** Derivatives of Psi-function (aka polygamma-functions). */
119 extern const unsigned function_index_psi2;
120 inline function psi(const ex & p1, const ex & p2) {
121 return function(function_index_psi2, p1, p2);
124 /** Factorial function. */
125 DECLARE_FUNCTION_1P(factorial)
127 /** Binomial function. */
128 DECLARE_FUNCTION_2P(binomial)
130 /** Order term function (for truncated power series). */
131 DECLARE_FUNCTION_1P(Order)
133 /** Inert partial differentiation operator. */
134 DECLARE_FUNCTION_2P(Derivative)
136 ex lsolve(const ex &eqns, const ex &symbols);
138 ex ncpower(const ex &basis, unsigned exponent);
140 inline bool is_order_function(const ex & e)
142 return is_ex_the_function(e, Order);
145 #ifndef NO_NAMESPACE_GINAC
147 #endif // ndef NO_NAMESPACE_GINAC
149 #endif // ndef __GINAC_INIFCNS_H__