* Interface to GiNaC's initially known functions. */
/*
- * GiNaC Copyright (C) 1999-2005 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2021 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
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#ifndef __GINAC_INIFCNS_H__
-#define __GINAC_INIFCNS_H__
+#ifndef GINAC_INIFCNS_H
+#define GINAC_INIFCNS_H
+#include "numeric.h"
#include "function.h"
#include "ex.h"
/** Complex conjugate. */
DECLARE_FUNCTION_1P(conjugate_function)
+
+/** Real part. */
+DECLARE_FUNCTION_1P(real_part_function)
+
+/** Imaginary part. */
+DECLARE_FUNCTION_1P(imag_part_function)
/** Absolute value. */
DECLARE_FUNCTION_1P(abs)
+/** Step function. */
+DECLARE_FUNCTION_1P(step)
+
/** Complex sign. */
DECLARE_FUNCTION_1P(csgn)
return is_the_function<psi1_SERIAL>(x) || is_the_function<psi2_SERIAL>(x);
}
+/** Complete elliptic integral of the first kind. */
+DECLARE_FUNCTION_1P(EllipticK)
+
+/** Complete elliptic integral of the second kind. */
+DECLARE_FUNCTION_1P(EllipticE)
+
+// overloading at work: we cannot use the macros here
+/** Iterated integral. */
+class iterated_integral2_SERIAL { public: static unsigned serial; };
+template<typename T1, typename T2>
+inline function iterated_integral(const T1& kernel_lst, const T2& lambda) {
+ return function(iterated_integral2_SERIAL::serial, ex(kernel_lst), ex(lambda));
+}
+/** Iterated integral with explicit truncation. */
+class iterated_integral3_SERIAL { public: static unsigned serial; };
+template<typename T1, typename T2, typename T3>
+inline function iterated_integral(const T1& kernel_lst, const T2& lambda, const T3& N_trunc) {
+ return function(iterated_integral3_SERIAL::serial, ex(kernel_lst), ex(lambda), ex(N_trunc));
+}
+class iterated_integral_SERIAL;
+template<> inline bool is_the_function<iterated_integral_SERIAL>(const ex& x)
+{
+ return is_the_function<iterated_integral2_SERIAL>(x) || is_the_function<iterated_integral3_SERIAL>(x);
+}
+
+
/** Factorial function. */
DECLARE_FUNCTION_1P(factorial)
ex lsolve(const ex &eqns, const ex &symbols, unsigned options = solve_algo::automatic);
+/** Find a real root of real-valued function f(x) numerically within a given
+ * interval. The function must change sign across interval. Uses Newton-
+ * Raphson method combined with bisection in order to guarantee convergence.
+ *
+ * @param f Function f(x)
+ * @param x Symbol f(x)
+ * @param x1 lower interval limit
+ * @param x2 upper interval limit
+ * @exception runtime_error (if interval is invalid). */
+const numeric fsolve(const ex& f, const symbol& x, const numeric& x1, const numeric& x2);
+
/** Check whether a function is the Order (O(n)) function. */
inline bool is_order_function(const ex & e)
{
} // namespace GiNaC
-#endif // ndef __GINAC_INIFCNS_H__
+#endif // ndef GINAC_INIFCNS_H