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(sin)
40 DECLARE_FUNCTION_1P(cos)
43 DECLARE_FUNCTION_1P(tan)
45 /** Exponential function. */
46 DECLARE_FUNCTION_1P(exp)
48 /** Natural logarithm. */
49 DECLARE_FUNCTION_1P(log)
51 /** Inverse sine (arc sine). */
52 DECLARE_FUNCTION_1P(asin)
54 /** Inverse cosine (arc cosine). */
55 DECLARE_FUNCTION_1P(acos)
57 /** Inverse tangent (arc tangent). */
58 DECLARE_FUNCTION_1P(atan)
60 /** Inverse tangent with two arguments. */
61 DECLARE_FUNCTION_2P(atan2)
63 /** Hyperbolic Sine. */
64 DECLARE_FUNCTION_1P(sinh)
66 /** Hyperbolic Cosine. */
67 DECLARE_FUNCTION_1P(cosh)
69 /** Hyperbolic Tangent. */
70 DECLARE_FUNCTION_1P(tanh)
72 /** Inverse hyperbolic Sine (area hyperbolic sine). */
73 DECLARE_FUNCTION_1P(asinh)
75 /** Inverse hyperbolic Cosine (area hyperbolic cosine). */
76 DECLARE_FUNCTION_1P(acosh)
78 /** Inverse hyperbolic Tangent (area hyperbolic tangent). */
79 DECLARE_FUNCTION_1P(atanh)
82 DECLARE_FUNCTION_1P(Li2)
85 DECLARE_FUNCTION_1P(Li3)
87 // overloading at work: we cannot use the macros
88 /** Riemann's Zeta-function. */
89 extern const unsigned function_index_zeta1;
90 inline function zeta(const ex & p1) {
91 return function(function_index_zeta1, p1);
93 /** Derivatives of Riemann's Zeta-function. */
94 extern const unsigned function_index_zeta2;
95 inline function zeta(const ex & p1, const ex & p2) {
96 return function(function_index_zeta2, p1, p2);
99 /** Gamma-function. */
100 DECLARE_FUNCTION_1P(lgamma)
101 DECLARE_FUNCTION_1P(tgamma)
103 /** Beta-function. */
104 DECLARE_FUNCTION_2P(beta)
106 // overloading at work: we cannot use the macros
107 /** Psi-function (aka digamma-function). */
108 extern const unsigned function_index_psi1;
109 inline function psi(const ex & p1) {
110 return function(function_index_psi1, p1);
112 /** Derivatives of Psi-function (aka polygamma-functions). */
113 extern const unsigned function_index_psi2;
114 inline function psi(const ex & p1, const ex & p2) {
115 return function(function_index_psi2, p1, p2);
118 /** Factorial function. */
119 DECLARE_FUNCTION_1P(factorial)
121 /** Binomial function. */
122 DECLARE_FUNCTION_2P(binomial)
124 /** Order term function (for truncated power series). */
125 DECLARE_FUNCTION_1P(Order)
127 /** Inert partial differentiation operator. */
128 DECLARE_FUNCTION_2P(Derivative)
130 ex lsolve(const ex &eqns, const ex &symbols);
132 ex ncpower(const ex &basis, unsigned exponent);
134 inline bool is_order_function(const ex & e)
136 return is_ex_the_function(e, Order);
139 #ifndef NO_NAMESPACE_GINAC
141 #endif // ndef NO_NAMESPACE_GINAC
143 #endif // ndef __GINAC_INIFCNS_H__