X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fnumeric.h;h=45bd853b790808e9c94af6d4fe974282208cfa06;hp=3306eeadf7a0819daa2271b20ee266508edb983c;hb=8dc09f48182574d792a2ed7c37b66831d9267a6c;hpb=5b090bb7e4951b48a28c20ba21bf9810c86eb0ca

diff --git a/ginac/numeric.h b/ginac/numeric.h
index 3306eead..45bd853b 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) 1999-2000 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
@@ -23,22 +23,27 @@
 #ifndef __GINAC_NUMERIC_H__
 #define __GINAC_NUMERIC_H__
 
-#include <strstream>
 #include "basic.h"
 #include "ex.h"
 
-class cl_N;     // We want to include cln.h only in numeric.cpp in order to 
-                // avoid namespace pollution and keep compile-time low.
+#include <stdexcept>
 
-#ifndef NO_NAMESPACE_GINAC
-namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
+#include <cln/number.h>
+// 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 <cln/complex_class.h>
+#endif
 
-#define HASHVALUE_NUMERIC 0x80000001U
+namespace GiNaC {
 
-/** This class is used to instantiate a global 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
+/** 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
@@ -49,293 +54,273 @@ class _numeric_digits
 {
 // member functions
 public:
-    _numeric_digits();
-    _numeric_digits& operator=(long prec);
-    operator long();
-    void print(ostream & os) const;
+	_numeric_digits();
+	_numeric_digits& operator=(long prec);
+	operator long();
+	void print(std::ostream &os) const;
 // member variables
 private:
-    long digits;
-    static bool too_late;
+	long digits;                        ///< Number of decimal digits
+	static bool too_late;               ///< Already one object present
+};
+
+
+/** 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
 {
-    GINAC_DECLARE_REGISTERED_CLASS(numeric, basic)
-
-// friends
-    friend const numeric exp(const numeric & x);
-    friend const numeric log(const numeric & x);
-    friend const numeric sin(const numeric & x);
-    friend const numeric cos(const numeric & x);
-    friend const numeric tan(const numeric & x);
-    friend const numeric asin(const numeric & x);
-    friend const numeric acos(const numeric & x);
-    friend const numeric atan(const numeric & x);
-    friend const numeric atan(const numeric & y, const numeric & x);
-    friend const numeric sinh(const numeric & x);
-    friend const numeric cosh(const numeric & x);
-    friend const numeric tanh(const numeric & x);
-    friend const numeric asinh(const numeric & x);
-    friend const numeric acosh(const numeric & x);
-    friend const numeric atanh(const numeric & x);
-    friend const numeric zeta(const numeric & x);
-    friend const numeric bernoulli(const numeric & n);
-    friend const numeric fibonacci(const numeric & n);
-    friend numeric abs(const numeric & x);
-    friend numeric mod(const numeric & a, const numeric & b);
-    friend numeric smod(const numeric & a, const numeric & b);
-    friend numeric irem(const numeric & a, const numeric & b);
-    friend numeric irem(const numeric & a, const numeric & b, numeric & q);
-    friend numeric iquo(const numeric & a, const numeric & b);
-    friend numeric iquo(const numeric & a, const numeric & b, numeric & r);
-    friend numeric sqrt(const numeric & x);
-    friend numeric isqrt(const numeric & x);
-    friend numeric gcd(const numeric & a, const numeric & b);
-    friend numeric lcm(const numeric & a, const numeric & b);
-
+	GINAC_DECLARE_REGISTERED_CLASS(numeric, basic)
+	
 // member functions
-
-    // default constructor, destructor, copy constructor assignment
-    // operator and helpers
+	
+	// other constructors
 public:
-    numeric();
-    ~numeric();
-    numeric(const numeric & other);
-    const numeric & operator=(const numeric & other);
-protected:
-    void copy(const numeric & other);
-    void destroy(bool call_parent);
-
-    // 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(const cl_N & z);
-    
-    // functions overriding virtual functions from bases classes
+	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 base classes
 public:
-    basic * duplicate() const;
-    void print(ostream & os, unsigned precedence=0) const;
-    void printraw(ostream & os) const;
-    void printtree(ostream & os, unsigned indent) const;
-    void printcsrc(ostream & os, unsigned type, unsigned precedence=0) const;
-    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;
-    numeric integer_content(void) const;
-    ex smod(const numeric &xi) const;
-    numeric max_coefficient(void) const;
+	unsigned precedence() const {return 30;}
+	bool info(unsigned inf) const;
+	int degree(const ex & s) const;
+	int ldegree(const ex & s) const;
+	ex coeff(const ex & s, int n = 1) const;
+	bool has(const ex &other) const;
+	ex eval(int level = 0) const;
+	ex evalf(int level = 0) const;
+	ex subs(const exmap & m, unsigned options = 0) const { return subs_one_level(m, options); } // overwrites basic::subs() for performance reasons
+	ex normal(exmap & repl, exmap & rev_lookup, int level = 0) const;
+	ex to_rational(exmap & repl) const;
+	ex to_polynomial(exmap & repl) const;
+	numeric integer_content() const;
+	ex smod(const numeric &xi) const;
+	numeric max_coefficient() const;
 protected:
-    ex derivative(const symbol & s) const;
-    int compare_same_type(const basic & other) const;
-    bool is_equal_same_type(const basic & other) const;
-    unsigned calchash(void) const;
-
-    // new virtual functions which can be overridden by derived classes
-    // (none)
-
-    // non-virtual functions in this class
+	/** Implementation of ex::diff for a numeric always returns 0.
+	 *  @see ex::diff */
+	ex derivative(const symbol &s) const { return 0; }
+	bool is_equal_same_type(const basic &other) const;
+	unsigned calchash() const;
+	
+	// new virtual functions which can be overridden by derived classes
+	// (none)
+	
+	// non-virtual functions in this class
 public:
-    numeric add(const numeric & other) const;
-    numeric sub(const numeric & other) const;
-    numeric mul(const numeric & other) const;
-    numeric div(const numeric & other) const;
-    numeric power(const numeric & other) const;
-    const numeric & add_dyn(const numeric & other) const;
-    const numeric & sub_dyn(const numeric & other) const;
-    const numeric & mul_dyn(const numeric & other) const;
-    const numeric & div_dyn(const numeric & other) const;
-    const numeric & power_dyn(const numeric & other) const;
-    const numeric & operator=(int i);
-    const numeric & operator=(unsigned int i);
-    const numeric & operator=(long i);
-    const numeric & operator=(unsigned long i);
-    const numeric & operator=(double d);
-    const numeric & operator=(const char * s);
-    numeric inverse(void) const;
-    int csgn(void) 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 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;
-    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;
+	const numeric add(const numeric &other) const;
+	const numeric sub(const numeric &other) const;
+	const numeric mul(const numeric &other) const;
+	const numeric div(const numeric &other) const;
+	const numeric power(const numeric &other) const;
+	const numeric & add_dyn(const numeric &other) const;
+	const numeric & sub_dyn(const numeric &other) const;
+	const numeric & mul_dyn(const numeric &other) const;
+	const numeric & div_dyn(const numeric &other) const;
+	const numeric & power_dyn(const numeric &other) const;
+	const numeric & operator=(int i);
+	const numeric & operator=(unsigned int i);
+	const numeric & operator=(long i);
+	const numeric & operator=(unsigned long i);
+	const numeric & operator=(double d);
+	const numeric & operator=(const char *s);
+	const numeric inverse() const;
+	int csgn() const;
+	int compare(const numeric &other) const;
+	bool is_equal(const numeric &other) 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() 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);
+
+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:
-    static unsigned precedence;
-    cl_N *value;
+	cln::cl_number value;
 };
 
+
 // global constants
 
-extern const numeric some_numeric;
 extern const numeric I;
-extern const type_info & typeid_numeric;
 extern _numeric_digits Digits;
 
-//#define is_a_numeric_hash(x) ((x)==HASHVALUE_NUMERIC)
-// may have to be changed to ((x)>=0x80000000U)
-
-// has been changed
-//#define is_a_numeric_hash(x) ((x)&0x80000000U)
-
 // global functions
 
-const numeric exp(const numeric & x);
-const numeric log(const numeric & x);
-const numeric sin(const numeric & x);
-const numeric cos(const numeric & x);
-const numeric tan(const numeric & x);
-const numeric asin(const numeric & x);
-const numeric acos(const numeric & x);
-const numeric atan(const numeric & x);
-const numeric atan(const numeric & y, const numeric & x);
-const numeric sinh(const numeric & x);
-const numeric cosh(const numeric & x);
-const numeric tanh(const numeric & x);
-const numeric asinh(const numeric & x);
-const numeric acosh(const numeric & x);
-const numeric atanh(const numeric & x);
-const numeric zeta(const numeric & x);
-const numeric lgamma(const numeric & x);
-const numeric tgamma(const numeric & x);
-const numeric psi(const numeric & x);
-const numeric psi(const numeric & n, const numeric & x);
-const numeric factorial(const numeric & n);
-const numeric doublefactorial(const numeric & n);
-const numeric binomial(const numeric & n, const numeric & k);
-const numeric bernoulli(const numeric & n);
-const numeric fibonacci(const numeric & n);
-
-numeric abs(const numeric & x);
-numeric mod(const numeric & a, const numeric & b);
-numeric smod(const numeric & a, const numeric & b);
-numeric irem(const numeric & a, const numeric & b);
-numeric irem(const numeric & a, const numeric & b, numeric & q);
-numeric iquo(const numeric & a, const numeric & b);
-numeric iquo(const numeric & a, const numeric & b, numeric & r);
-numeric sqrt(const numeric & x);
-numeric isqrt(const numeric & x);
-
-numeric gcd(const numeric & a, const numeric & b);
-numeric lcm(const numeric & a, const numeric & b);
-
-/** Exception thrown by numeric members to signal failure */
-struct numeric_fail
-{
-    int failval;
-    numeric_fail(int n) { failval = n; }
-};
+const numeric exp(const numeric &x);
+const numeric log(const numeric &x);
+const numeric sin(const numeric &x);
+const numeric cos(const numeric &x);
+const numeric tan(const numeric &x);
+const numeric asin(const numeric &x);
+const numeric acos(const numeric &x);
+const numeric atan(const numeric &x);
+const numeric atan(const numeric &y, const numeric &x);
+const numeric sinh(const numeric &x);
+const numeric cosh(const numeric &x);
+const numeric tanh(const numeric &x);
+const numeric asinh(const numeric &x);
+const numeric acosh(const numeric &x);
+const numeric atanh(const numeric &x);
+const numeric Li2(const numeric &x);
+const numeric zeta(const numeric &x);
+const numeric lgamma(const numeric &x);
+const numeric tgamma(const numeric &x);
+const numeric psi(const numeric &x);
+const numeric psi(const numeric &n, const numeric &x);
+const numeric factorial(const numeric &n);
+const numeric doublefactorial(const numeric &n);
+const numeric binomial(const numeric &n, const numeric &k);
+const numeric bernoulli(const numeric &n);
+const numeric fibonacci(const numeric &n);
+const numeric isqrt(const numeric &x);
+const numeric sqrt(const numeric &x);
+const numeric abs(const numeric &x);
+const numeric mod(const numeric &a, const numeric &b);
+const numeric smod(const numeric &a, const numeric &b);
+const numeric irem(const numeric &a, const numeric &b);
+const numeric irem(const numeric &a, const numeric &b, numeric &q);
+const numeric iquo(const numeric &a, const numeric &b);
+const numeric iquo(const numeric &a, const numeric &b, numeric &r);
+const numeric gcd(const numeric &a, const numeric &b);
+const numeric lcm(const numeric &a, const numeric &b);
 
 // wrapper functions around member functions
-inline numeric pow(const numeric & x, const numeric & y)
+inline const numeric pow(const numeric &x, const numeric &y)
 { return x.power(y); }
 
-inline numeric inverse(const numeric & x)
+inline const numeric inverse(const numeric &x)
 { return x.inverse(); }
 
-inline bool csgn(const numeric & x)
+inline int csgn(const numeric &x)
 { return x.csgn(); }
 
-inline bool is_zero(const numeric & x)
+inline bool is_zero(const numeric &x)
 { return x.is_zero(); }
 
-inline bool is_positive(const numeric & x)
+inline bool is_positive(const numeric &x)
 { return x.is_positive(); }
 
-inline bool is_integer(const numeric & x)
+inline bool is_integer(const numeric &x)
 { return x.is_integer(); }
 
-inline bool is_pos_integer(const numeric & x)
+inline bool is_pos_integer(const numeric &x)
 { return x.is_pos_integer(); }
 
-inline bool is_nonneg_integer(const numeric & x)
+inline bool is_nonneg_integer(const numeric &x)
 { return x.is_nonneg_integer(); }
 
-inline bool is_even(const numeric & x)
+inline bool is_even(const numeric &x)
 { return x.is_even(); }
 
-inline bool is_odd(const numeric & x)
+inline bool is_odd(const numeric &x)
 { return x.is_odd(); }
 
-inline bool is_prime(const numeric & x)
+inline bool is_prime(const numeric &x)
 { return x.is_prime(); }
 
-inline bool is_rational(const numeric & x)
+inline bool is_rational(const numeric &x)
 { return x.is_rational(); }
 
-inline bool is_real(const numeric & x)
+inline bool is_real(const numeric &x)
 { return x.is_real(); }
 
-inline bool is_cinteger(const numeric & x)
+inline bool is_cinteger(const numeric &x)
 { return x.is_cinteger(); }
 
-inline bool is_crational(const numeric & x)
+inline bool is_crational(const numeric &x)
 { return x.is_crational(); }
 
-inline numeric real(const numeric & x)
+inline int to_int(const numeric &x)
+{ return x.to_int(); }
+
+inline long to_long(const numeric &x)
+{ return x.to_long(); }
+
+inline double to_double(const numeric &x)
+{ return x.to_double(); }
+
+inline const numeric real(const numeric &x)
 { return x.real(); }
 
-inline numeric imag(const numeric & x)
+inline const numeric imag(const numeric &x)
 { return x.imag(); }
 
-inline numeric numer(const numeric & x)
+inline const numeric numer(const numeric &x)
 { return x.numer(); }
 
-inline numeric denom(const numeric & x)
+inline const numeric denom(const numeric &x)
 { return x.denom(); }
 
 // numeric evaluation functions for class constant objects:
 
-ex PiEvalf(void);
-ex gammaEvalf(void);
-ex CatalanEvalf(void);
+ex PiEvalf();
+ex EulerEvalf();
+ex CatalanEvalf();
 
 
 // utility functions
-inline const numeric &ex_to_numeric(const ex &e)
+
+/** Specialization of is_exactly_a<numeric>(obj) for numeric objects. */
+template<> inline bool is_exactly_a<numeric>(const basic & obj)
 {
-    return static_cast<const numeric &>(*e.bp);
+	return obj.tinfo()==TINFO_numeric;
 }
 
-
-#ifndef NO_NAMESPACE_GINAC
 } // namespace GiNaC
-#endif // ndef NO_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__