X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fpseries.h;h=2857bb7e7cfc0fcaca4ac39c35a112fdca1c7da4;hp=14b011af6af401b09ca558f55763697e2aaa1f4f;hb=9d9503cff68b40c4c5f6a2f9eb7ae9b32c53a486;hpb=e5362a33f72613b324b3714524a8c2e5f7b7f46f diff --git a/ginac/pseries.h b/ginac/pseries.h index 14b011af..2857bb7e 100644 --- a/ginac/pseries.h +++ b/ginac/pseries.h @@ -3,7 +3,7 @@ * Interface to class for extended truncated power series. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2020 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 @@ -17,18 +17,16 @@ * * 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_SERIES_H__ -#define __GINAC_SERIES_H__ +#ifndef GINAC_SERIES_H +#define GINAC_SERIES_H #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 @@ -41,41 +39,77 @@ class pseries : public basic // other constructors public: pseries(const ex &rel_, const epvector &ops_); + pseries(const ex &rel_, epvector &&ops_); // 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, unsigned options = 0) 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; + unsigned precedence() const override {return 38;} // for clarity just below add::precedence + size_t nops() const override; + ex op(size_t i) const override; + int degree(const ex &s) const override; + int ldegree(const ex &s) const override; + ex coeff(const ex &s, int n = 1) const override; + ex collect(const ex &s, bool distributed = false) const override; + ex eval() const override; + ex evalf() const override; + ex series(const relational & r, int order, unsigned options = 0) const override; + ex subs(const exmap & m, unsigned options = 0) const override; + ex normal(exmap & repl, exmap & rev_lookup, lst & modifier) const override; + ex expand(unsigned options = 0) const override; + ex conjugate() const override; + ex real_part() const override; + ex imag_part() const override; + ex eval_integ() const override; + ex evalm() const override; + /** Save (a.k.a. serialize) object into archive. */ + void archive(archive_node& n) const override; + /** Read (a.k.a. deserialize) object from archive. */ + void read_archive(const archive_node& n, lst& syms) override; protected: - ex derivative(const symbol & s) const; + ex derivative(const symbol & s) const override; // non-virtual functions in this class public: + /** Get the expansion variable. */ + ex get_var() const {return var;} + + /** Get the expansion point. */ + ex get_point() 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; - 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; + + /** 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() const {return seq.size() == 0;} + + /** Returns true if there is no order term, i.e. the series terminates and + * false otherwise. */ + bool is_terminating() const; + + /** Get coefficients and exponents. */ + ex coeffop(size_t i) const; + ex exponop(size_t i) 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: + void print_series(const print_context & c, const char *openbrace, const char *closebrace, const char *mul_sym, const char *pow_sym, unsigned level) const; + void do_print(const print_context & c, unsigned level) const; + void do_print_latex(const print_latex & c, unsigned level) const; + void do_print_tree(const print_tree & c, unsigned level) const; + void do_print_python(const print_python & c, unsigned level) const; + void do_print_python_repr(const print_python_repr & c, unsigned level) const; + protected: /** Vector of {coefficient, power} pairs */ epvector seq; @@ -85,20 +119,11 @@ protected: /** Expansion point */ ex point; - static unsigned precedence; }; +GINAC_DECLARE_UNARCHIVER(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) -{ - return static_cast(*e.bp); -} + +// utility functions /** Convert the pseries object embedded in an expression to an ordinary * polynomial in the expansion variable. The result is undefined if the @@ -106,11 +131,11 @@ inline const pseries &ex_to_pseries(const ex &e) * * @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(*e.bp).convert_to_poly(true)); + return (ex_to(e).convert_to_poly(true)); } inline bool is_terminating(const pseries & s) @@ -118,8 +143,6 @@ inline bool is_terminating(const pseries & s) return s.is_terminating(); } -#ifndef NO_NAMESPACE_GINAC } // namespace GiNaC -#endif // ndef NO_NAMESPACE_GINAC -#endif // ndef __GINAC_SERIES_H__ +#endif // ndef GINAC_SERIES_H