X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fnumeric.h;h=bb7d258b44b38e37925d584ee8ca1d712cd79129;hp=b759d1aff42ac75a31c429719d591fddb02db699;hb=ed914545e01d60ecf2544e6141d6c5142c01327f;hpb=a405eece0da232b296c4b400a89df4f43e39232d diff --git a/ginac/numeric.h b/ginac/numeric.h index b759d1af..bb7d258b 100644 --- a/ginac/numeric.h +++ b/ginac/numeric.h @@ -3,7 +3,7 @@ * Makes the interface to the underlying bignum package available. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2016 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 @@ -17,34 +17,34 @@ * * 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_NUMERIC_H__ -#define __GINAC_NUMERIC_H__ +#ifndef GINAC_NUMERIC_H +#define GINAC_NUMERIC_H #include "basic.h" #include "ex.h" +#include "archive.h" -#include -// forward decln of cln::cl_N, since cln/complex_class.h is not included: -namespace cln { class cl_N; } - -#if defined(G__CINTVERSION) && !defined(__MAKECINT__) -// Cint @$#$! doesn't like forward declaring classes used for casting operators -// so we have to include the definition of cln::cl_N here, but it is enough to -// do so for the compiler, hence the !defined(__MAKECINT__). - #include -#endif +#include +#include +#include namespace GiNaC { +/** Function pointer to implement callbacks in the case 'Digits' gets changed. + * Main purpose of such callbacks is to adjust look-up tables of certain + * functions to the new precision. Parameter contains the signed difference + * between new Digits and old Digits. */ +typedef void (* digits_changed_callback)(long); + /** This class is used to instantiate a global singleton object Digits * which behaves just like Maple's Digits. We need an object rather * than a dumber basic type since as a side-effect we let it change * cl_default_float_format when it gets changed. The only other * meaningful thing to do with it is converting it to an unsigned, - * for temprary storing its value e.g. The user must not create an + * for temporarily storing its value e.g. The user must not create an * own working object of this class! Since C++ forces us to make the * class definition visible in order to use an object we put in a * flag which prevents other objects of that class to be created. */ @@ -55,13 +55,27 @@ public: _numeric_digits(); _numeric_digits& operator=(long prec); operator long(); - void print(std::ostream &os) const; + void print(std::ostream& os) const; + void add_callback(digits_changed_callback callback); // member variables private: long digits; ///< Number of decimal digits static bool too_late; ///< Already one object present + // Holds a list of functions that get called when digits is changed. + std::vector callbacklist; }; + +/** Exception class thrown when a singularity is encountered. */ +class pole_error : public std::domain_error { +public: + explicit pole_error(const std::string& what_arg, int degree); + int degree() const; +private: + int deg; +}; + + /** This class is a wrapper around CLN-numbers within the GiNaC class * hierarchy. Objects of this type may directly be created by the user.*/ class numeric : public basic @@ -70,35 +84,47 @@ class numeric : public basic // member functions - // other ctors + // other constructors public: - explicit numeric(int i); - explicit numeric(unsigned int i); - explicit numeric(long i); - explicit numeric(unsigned long i); - explicit numeric(long numer, long denom); - explicit numeric(double d); - explicit numeric(const char *); + numeric(int i); + numeric(unsigned int i); + numeric(long i); + numeric(unsigned long i); + numeric(long numer, long denom); + numeric(double d); + numeric(const char *); - // functions overriding virtual functions from bases classes + // functions overriding virtual functions from base classes public: - void print(const print_context & c, unsigned level = 0) const; - unsigned precedence(void) const {return 30;} - bool info(unsigned inf) const; - bool has(const ex &other) const; - ex eval(int level = 0) const; - ex evalf(int level = 0) const; - ex normal(lst &sym_lst, lst &repl_lst, int level = 0) const; - ex to_rational(lst &repl_lst) const; - numeric integer_content(void) const; - ex smod(const numeric &xi) const; - numeric max_coefficient(void) const; + unsigned precedence() const override {return 30;} + bool info(unsigned inf) const override; + bool is_polynomial(const ex & var) 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; + bool has(const ex &other, unsigned options = 0) const override; + ex eval() const override; + ex evalf() const override; + ex subs(const exmap & m, unsigned options = 0) const override { return subs_one_level(m, options); } // overwrites basic::subs() for performance reasons + ex normal(exmap & repl, exmap & rev_lookup) const override; + ex to_rational(exmap & repl) const override; + ex to_polynomial(exmap & repl) const override; + numeric integer_content() const override; + ex smod(const numeric &xi) const override; + numeric max_coefficient() const override; + ex conjugate() const override; + ex real_part() const override; + ex imag_part() 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: /** Implementation of ex::diff for a numeric always returns 0. * @see ex::diff */ - ex derivative(const symbol &s) const { return _ex0(); } - bool is_equal_same_type(const basic &other) const; - unsigned calchash(void) const; + ex derivative(const symbol &s) const override { return 0; } + bool is_equal_same_type(const basic &other) const override; + unsigned calchash() const override; // new virtual functions which can be overridden by derived classes // (none) @@ -121,55 +147,64 @@ public: const numeric & operator=(unsigned long i); const numeric & operator=(double d); const numeric & operator=(const char *s); - const numeric inverse(void) const; - int csgn(void) const; + const numeric inverse() const; + numeric step() const; + int csgn() const; int compare(const numeric &other) const; bool is_equal(const numeric &other) const; - bool is_zero(void) const; - bool is_positive(void) const; - bool is_negative(void) const; - bool is_integer(void) const; - bool is_pos_integer(void) const; - bool is_nonneg_integer(void) const; - bool is_even(void) const; - bool is_odd(void) const; - bool is_prime(void) const; - bool is_rational(void) const; - bool is_real(void) const; - bool is_cinteger(void) const; - bool is_crational(void) const; + bool is_zero() const; + bool is_positive() const; + bool is_negative() const; + bool is_integer() const; + bool is_pos_integer() const; + bool is_nonneg_integer() const; + bool is_even() const; + bool is_odd() const; + bool is_prime() const; + bool is_rational() const; + bool is_real() const; + bool is_cinteger() const; + bool is_crational() const; bool operator==(const numeric &other) const; bool operator!=(const numeric &other) const; bool operator<(const numeric &other) const; bool operator<=(const numeric &other) const; bool operator>(const numeric &other) const; bool operator>=(const numeric &other) const; - int to_int(void) const; - long to_long(void) const; - double to_double(void) const; - cln::cl_N to_cl_N(void) const; - const numeric real(void) const; - const numeric imag(void) const; - const numeric numer(void) const; - const numeric denom(void) const; - int int_length(void) const; + int to_int() const; + long to_long() const; + double to_double() const; + cln::cl_N to_cl_N() const; + const numeric real() const; + const numeric imag() const; + const numeric numer() const; + const numeric denom() const; + int int_length() const; // converting routines for interfacing with CLN: - numeric(const cln::cl_N &z); + explicit numeric(const cln::cl_N &z); + +protected: + void print_numeric(const print_context & c, const char *par_open, const char *par_close, const char *imag_sym, const char *mul_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_csrc(const print_csrc & c, unsigned level) const; + void do_print_csrc_cl_N(const print_csrc_cl_N & c, unsigned level) const; + void do_print_tree(const print_tree & c, unsigned level) const; + void do_print_python_repr(const print_python_repr & c, unsigned level) const; // member variables protected: - cln::cl_number value; + cln::cl_N value; }; +GINAC_DECLARE_UNARCHIVER(numeric); + // global constants extern const numeric I; extern _numeric_digits Digits; -// deprecated macro, for internal use only -#define is_a_numeric_hash(x) ((x)&0x80000000U) - // global functions const numeric exp(const numeric &x); @@ -217,6 +252,9 @@ inline const numeric pow(const numeric &x, const numeric &y) inline const numeric inverse(const numeric &x) { return x.inverse(); } +inline numeric step(const numeric &x) +{ return x.step(); } + inline int csgn(const numeric &x) { return x.csgn(); } @@ -226,6 +264,9 @@ inline bool is_zero(const numeric &x) inline bool is_positive(const numeric &x) { return x.is_positive(); } +inline bool is_negative(const numeric &x) +{ return x.is_negative(); } + inline bool is_integer(const numeric &x) { return x.is_integer(); } @@ -279,22 +320,11 @@ inline const numeric denom(const numeric &x) // numeric evaluation functions for class constant objects: -ex PiEvalf(void); -ex EulerEvalf(void); -ex CatalanEvalf(void); - +ex PiEvalf(); +ex EulerEvalf(); +ex CatalanEvalf(); -// utility functions -inline const numeric &ex_to_numeric(const ex &e) -{ - return static_cast(*e.bp); -} } // namespace GiNaC -#ifdef __MAKECINT__ -#pragma link off defined_in cln/number.h; -#pragma link off defined_in cln/complex_class.h; -#endif - -#endif // ndef __GINAC_NUMERIC_H__ +#endif // ndef GINAC_NUMERIC_H