* Interface to class for extended truncated power series. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2003 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
#include "basic.h"
#include "expairseq.h"
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
/** This class holds a extended truncated power series (positive and negative
* integer powers). It consists of expression coefficients (only non-zero
* Other classes must provide members to convert into this type. */
class pseries : public basic
{
- GINAC_DECLARE_REGISTERED_CLASS(pseries, basic)
+ GINAC_DECLARE_REGISTERED_CLASS(pseries, basic)
- // default constructor, destructor, copy constructor, assignment operator and helpers
+ // other ctors
public:
- pseries();
- ~pseries();
- pseries(const pseries &other);
- const pseries &operator=(const pseries &other);
-protected:
- void copy(const pseries &other);
- void destroy(bool call_parent);
-
- // other constructors
-public:
- pseries(const ex &rel_, const epvector &ops_);
+ pseries(const ex &rel_, const epvector &ops_);
- // functions overriding virtual functions from base classes
+ // functions overriding virtual functions from base classes
public:
- basic *duplicate() const;
- void print(std::ostream &os, unsigned upper_precedence = 0) const;
- void printraw(std::ostream &os) const;
- void printtree(std::ostream & os, unsigned indent) const;
- unsigned nops(void) const;
- ex op(int i) const;
- ex &let_op(int i);
- int degree(const symbol &s) const;
- int ldegree(const symbol &s) const;
- ex coeff(const symbol &s, int n = 1) const;
- ex collect(const symbol &s) const;
- ex eval(int level=0) const;
- ex evalf(int level=0) const;
- ex series(const relational & r, int order, bool branchcut = true) const;
- ex subs(const lst & ls, const lst & lr) const;
- ex normal(lst &sym_lst, lst &repl_lst, int level = 0) const;
- ex expand(unsigned options = 0) const;
+ void print(const print_context & c, unsigned level = 0) const;
+ unsigned precedence(void) const {return 38;} // for clarity just below add::precedence
+ unsigned nops(void) const;
+ ex op(int i) const;
+ ex &let_op(int i);
+ int degree(const ex &s) const;
+ int ldegree(const ex &s) const;
+ ex coeff(const ex &s, int n = 1) const;
+ ex collect(const ex &s, bool distributed = false) const;
+ ex eval(int level=0) const;
+ ex evalf(int level=0) const;
+ ex series(const relational & r, int order, unsigned options = 0) const;
+ ex subs(const lst & ls, const lst & lr, bool no_pattern = false) const;
+ ex normal(lst &sym_lst, lst &repl_lst, int level = 0) const;
+ ex expand(unsigned options = 0) const;
protected:
- ex derivative(const symbol & s) const;
+ ex derivative(const symbol & s) const;
- // non-virtual functions in this class
+ // non-virtual functions in this class
public:
- ex convert_to_poly(bool no_order = false) const;
- bool is_compatible_to(const pseries &other) const {return var.compare(other.var) == 0 && point.compare(other.point) == 0;}
- bool is_zero(void) const {return seq.size() == 0;}
- bool is_terminating(void) const;
- ex add_series(const pseries &other) const;
- ex mul_const(const numeric &other) const;
- ex mul_series(const pseries &other) const;
- ex power_const(const numeric &p, int deg) const;
- pseries shift_exponents(int deg) const;
+ /** Get the expansion variable. */
+ ex get_var(void) const {return var;}
+
+ /** Get the expansion point. */
+ ex get_point(void) const {return point;}
+
+ /** Convert the pseries object to an ordinary polynomial.
+ *
+ * @param no_order flag: discard higher order terms */
+ ex convert_to_poly(bool no_order = false) const;
+
+ /** Check whether series is compatible to another series (expansion
+ * variable and point are the same. */
+ bool is_compatible_to(const pseries &other) const {return var.is_equal(other.var) && point.is_equal(other.point);}
+
+ /** Check whether series has the value zero. */
+ bool is_zero(void) const {return seq.size() == 0;}
+
+ /** Returns true if there is no order term, i.e. the series terminates and
+ * false otherwise. */
+ bool is_terminating(void) const;
+
+ ex add_series(const pseries &other) const;
+ ex mul_const(const numeric &other) const;
+ ex mul_series(const pseries &other) const;
+ ex power_const(const numeric &p, int deg) const;
+ pseries shift_exponents(int deg) const;
protected:
- /** Vector of {coefficient, power} pairs */
- epvector seq;
+ /** Vector of {coefficient, power} pairs */
+ epvector seq;
- /** Series variable (holds a symbol) */
- ex var;
+ /** Series variable (holds a symbol) */
+ ex var;
- /** Expansion point */
- ex point;
+ /** Expansion point */
+ ex point;
};
-// global constants
-extern const pseries some_pseries;
-extern const type_info & typeid_pseries;
-/** Return a reference to the pseries object embedded in an expression.
- * The result is undefined if the expression does not contain a pseries
- * object at its top level.
- *
- * @param e expression
- * @return reference to pseries object
- * @see is_ex_of_type */
-inline const pseries &ex_to_pseries(const ex &e)
+// utility functions
+
+/** Specialization of is_exactly_a<pseries>(obj) for pseries objects. */
+template<> inline bool is_exactly_a<pseries>(const basic & obj)
{
- return static_cast<const pseries &>(*e.bp);
+ return obj.tinfo()==TINFO_pseries;
}
/** Convert the pseries object embedded in an expression to an ordinary
*
* @param e expression
* @return polynomial expression
- * @see is_ex_of_type
+ * @see is_a<>
* @see pseries::convert_to_poly */
inline ex series_to_poly(const ex &e)
{
- return (static_cast<const pseries &>(*e.bp).convert_to_poly(true));
+ return (ex_to<pseries>(e).convert_to_poly(true));
}
inline bool is_terminating(const pseries & s)
{
- return s.is_terminating();
+ return s.is_terminating();
}
-#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
#endif // ndef __GINAC_SERIES_H__
git://www.ginac.de / ginac.git / blobdiff