- added symmetrize() and antisymmetrize() functions

[ginac.git] / ginac / inifcns.h

diff --git a/ginac/inifcns.h b/ginac/inifcns.h
index a5a527000cdbebbf4b69673ef3682ffd0b3373ba..6a7efbe610a24930690b1462eb42f02427585f9a 100644 (file)
--- a/ginac/inifcns.h
+++ b/ginac/inifcns.h
@@ -3,7 +3,7 @@
  *  Interface to GiNaC's initially known functions. */
 
 /*
- *  GiNaC Copyright (C) 1999 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
@@ -23,12 +23,19 @@
 #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)
@@ -81,29 +88,37 @@ DECLARE_FUNCTION_1P(Li2)
 /** Trilogarithm. */
 DECLARE_FUNCTION_1P(Li3)
 
+// overloading at work: we cannot use the macros here
 /** Riemann's Zeta-function. */
-DECLARE_FUNCTION_1P(zeta)
-//DECLARE_FUNCTION_2P(zeta)
+extern const unsigned function_index_zeta1;
+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(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)
 
-/** Psi-function (aka polygamma-function). */
-// overloading @ 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);
 }
-//DECLARE_FUNCTION_1P(psi)
-//DECLARE_FUNCTION_2P(psi)
-    
+       
 /** Factorial function. */
 DECLARE_FUNCTION_1P(factorial)
 
@@ -113,17 +128,43 @@ DECLARE_FUNCTION_2P(binomial)
 /** 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);
 }
 
-#ifndef NO_GINAC_NAMESPACE
 } // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
 
 #endif // ndef __GINAC_INIFCNS_H__