* Interface to GiNaC's initially known functions. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
#ifndef __GINAC_INIFCNS_H__
#define __GINAC_INIFCNS_H__
-#include <ginac/function.h>
-#include <ginac/ex.h>
+#include "function.h"
+#include "ex.h"
-#ifndef NO_GINAC_NAMESPACE
namespace GiNaC {
-#endif // ndef NO_GINAC_NAMESPACE
/** Absolute value. */
DECLARE_FUNCTION_1P(abs)
+
+/** Complex sign. */
+DECLARE_FUNCTION_1P(csgn)
+
+/** Eta function: log(a*b) == log(a) + log(b) + eta(a, b). */
+DECLARE_FUNCTION_2P(eta)
/** Sine. */
DECLARE_FUNCTION_1P(sin)
/** Trilogarithm. */
DECLARE_FUNCTION_1P(Li3)
-// overloading at work: we cannot use the macros
+// overloading at work: we cannot use the macros here
/** Riemann's Zeta-function. */
extern const unsigned function_index_zeta1;
-inline function zeta(ex const & p1) {
- return function(function_index_zeta1, p1);
+inline function zeta(const ex & p1) {
+ return function(function_index_zeta1, p1);
}
/** Derivatives of Riemann's Zeta-function. */
extern const unsigned function_index_zeta2;
-inline function zeta(ex const & p1, ex const & p2) {
- return function(function_index_zeta2, p1, p2);
+inline function zeta(const ex & p1, const ex & p2) {
+ return function(function_index_zeta2, p1, p2);
}
/** Gamma-function. */
-DECLARE_FUNCTION_1P(gamma)
+DECLARE_FUNCTION_1P(lgamma)
+DECLARE_FUNCTION_1P(tgamma)
/** Beta-function. */
DECLARE_FUNCTION_2P(beta)
-// overloading at work: we cannot use the macros
+// overloading at work: we cannot use the macros here
/** Psi-function (aka digamma-function). */
extern const unsigned function_index_psi1;
-inline function psi(ex const & p1) {
- return function(function_index_psi1, p1);
+inline function psi(const ex & p1) {
+ return function(function_index_psi1, p1);
}
/** Derivatives of Psi-function (aka polygamma-functions). */
extern const unsigned function_index_psi2;
-inline function psi(ex const & p1, ex const & p2) {
- return function(function_index_psi2, p1, p2);
+inline function psi(const ex & p1, const ex & p2) {
+ return function(function_index_psi2, p1, p2);
}
-
+
/** Factorial function. */
DECLARE_FUNCTION_1P(factorial)
/** Order term function (for truncated power series). */
DECLARE_FUNCTION_1P(Order)
-ex lsolve(ex const &eqns, ex const &symbols);
+/** Inert partial differentiation operator. */
+DECLARE_FUNCTION_2P(Derivative)
+
+ex lsolve(const ex &eqns, const ex &symbols);
+
+/** Power of non-commutative basis. */
+ex ncpow(const ex & basis, unsigned exponent);
+
+/** Symmetrize expression over a set of objects (symbols, indices). */
+ex symmetrize(const ex & e, exvector::const_iterator first, exvector::const_iterator last);
+
+/** Symmetrize expression over a set of objects (symbols, indices). */
+inline ex symmetrize(const ex & e, const exvector & v)
+{
+ return symmetrize(e, v.begin(), v.end());
+}
+
+/** Symmetrize expression over a list of objects (symbols, indices). */
+ex symmetrize(const ex & e, const lst & l);
+
+/** Antisymmetrize expression over a set of objects (symbols, indices). */
+ex antisymmetrize(const ex & e, exvector::const_iterator first, exvector::const_iterator last);
+
+/** Antisymmetrize expression over a set of objects (symbols, indices). */
+inline ex antisymmetrize(const ex & e, const exvector & v)
+{
+ return antisymmetrize(e, v.begin(), v.end());
+}
-ex ncpower(ex const &basis, unsigned exponent);
+/** Antisymmetrize expression over a list of objects (symbols, indices). */
+ex antisymmetrize(const ex & e, const lst & l);
-inline bool is_order_function(ex const & e)
+inline bool is_order_function(const ex & e)
{
- return is_ex_the_function(e, Order);
+ return is_ex_the_function(e, Order);
}
-#ifndef NO_GINAC_NAMESPACE
} // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
#endif // ndef __GINAC_INIFCNS_H__