aprat.h

任意精度计算的实现

#ifndef __cplusplus
#error Must use C++ for the type aprational.
#endif


#if !defined(__APRAT_H)
#define __APRAT_H

#if !defined(__APINT_H)
#include "apint.h"
#endif


// Rational numbers class

class aprational
{
public:
    // Constructors
    aprational (const apint &newnom, const apint &newden = apint (1)) { nom = newnom; den = newden; if (autoreduce) reduce (); }
    aprational () {};

    // Operator functions
    friend aprational operator+ (const aprational &, const aprational &);
    friend aprational operator+ (const apint &, const aprational &);
    friend aprational operator+ (const aprational &, const apint &);
    friend aprational operator- (const aprational &, const aprational &);
    friend aprational operator- (const apint &, const aprational &);
    friend aprational operator- (const aprational &, const apint &);
    friend aprational operator* (const aprational &, const aprational &);
    friend aprational operator* (const apint &, const aprational &);
    friend aprational operator* (const aprational &, const apint &);
    friend aprational operator/ (const aprational &, const aprational &);
    friend aprational operator/ (const apint &, const aprational &);
    friend aprational operator/ (const aprational &, const apint &);
    friend bool operator== (const aprational &, const aprational &);
    friend bool operator== (const apint &, const aprational &);
    friend bool operator== (const aprational &, const apint &);
    friend bool operator!= (const aprational &, const aprational &);
    friend bool operator!= (const apint &, const aprational &);
    friend bool operator!= (const aprational &, const apint &);
    friend std::ostream &operator<< (std::ostream &, const aprational &);
    friend std::istream &operator>> (std::istream &, aprational &);
    aprational &operator+= (const aprational &);
    aprational &operator+= (const apint &);
    aprational &operator-= (const aprational &);
    aprational &operator-= (const apint &);
    aprational &operator*= (const aprational &);
    aprational &operator*= (const apint &);
    aprational &operator/= (const aprational &);
    aprational &operator/= (const apint &);
    aprational operator+ () const;
    aprational operator- () const;

    // Type-converted functions, some compilers can't do these automatically
    aprational (const apint &newnom, int newden) { nom = newnom; den = apint (newden); if (autoreduce) reduce (); }
    aprational (const apint &newnom, unsigned newden) { nom = newnom; den = apint (newden); if (autoreduce) reduce (); }
    aprational (const apint &newnom, long newden) { nom = newnom; den = apint (newden); if (autoreduce) reduce (); }
    aprational (const apint &newnom, unsigned long newden) { nom = newnom; den = apint (newden); if (autoreduce) reduce (); }
    aprational (const apint &newnom, double newden) { nom = newnom; den = apint (newden); if (autoreduce) reduce (); }
    aprational (const apint &newnom, char *newden) { nom = newnom; den = apint (newden); if (autoreduce) reduce (); }
    aprational (int newnom, const apint &newden = apint (1)) { nom = apint (newnom); den = newden; if (autoreduce) reduce (); }
    aprational (int newnom, int newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (int newnom, unsigned newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (int newnom, long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (int newnom, unsigned long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (int newnom, double newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (int newnom, char *newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned newnom, const apint &newden = apint (1)) { nom = apint (newnom); den = newden; if (autoreduce) reduce (); }
    aprational (unsigned newnom, int newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned newnom, unsigned newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned newnom, long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned newnom, unsigned long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned newnom, double newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned newnom, char *newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (long newnom, const apint &newden = apint (1)) { nom = apint (newnom); den = newden; if (autoreduce) reduce (); }
    aprational (long newnom, int newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (long newnom, unsigned newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (long newnom, long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (long newnom, unsigned long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (long newnom, double newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (long newnom, char *newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned long newnom, const apint &newden = apint (1)) { nom = apint (newnom); den = newden; if (autoreduce) reduce (); }
    aprational (unsigned long newnom, int newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned long newnom, unsigned newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned long newnom, long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned long newnom, unsigned long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned long newnom, double newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (unsigned long newnom, char *newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (double newnom, const apint &newden = apint (1)) { nom = apint (newnom); den = newden; if (autoreduce) reduce (); }
    aprational (double newnom, int newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (double newnom, unsigned newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (double newnom, long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (double newnom, unsigned long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (double newnom, double newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (double newnom, char *newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (char *newnom, const apint &newden = apint (1)) { nom = apint (newnom); den = newden; if (autoreduce) reduce (); }
    aprational (char *newnom, int newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (char *newnom, unsigned newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (char *newnom, long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (char *newnom, unsigned long newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (char *newnom, double newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }
    aprational (char *newnom, char *newden) { nom = apint (newnom); den = apint (newden); if (autoreduce) reduce (); }

    friend aprational operator+ (int d1, const aprational &r2) { return apint (d1) + r2; }
    friend aprational operator+ (unsigned d1, const aprational &r2) { return apint (d1) + r2; }
    friend aprational operator+ (long d1, const aprational &r2) { return apint (d1) + r2; }
    friend aprational operator+ (unsigned long d1, const aprational &r2) { return apint (d1) + r2; }
    friend aprational operator+ (double d1, const aprational &r2) { return apint (d1) + r2; }
    friend aprational operator+ (char *d1, const aprational &r2) { return apint (d1) + r2; }
    friend aprational operator+ (const aprational &r1, int d2) { return r1 + apint (d2); }
    friend aprational operator+ (const aprational &r1, unsigned d2) { return r1 + apint (d2); }
    friend aprational operator+ (const aprational &r1, long d2) { return r1 + apint (d2); }
    friend aprational operator+ (const aprational &r1, unsigned long d2) { return r1 + apint (d2); }
    friend aprational operator+ (const aprational &r1, double d2) { return r1 + apint (d2); }
    friend aprational operator+ (const aprational &r1, char *d2) { return r1 + apint (d2); }
    friend aprational operator- (int d1, const aprational &r2) { return apint (d1) - r2; }
    friend aprational operator- (unsigned d1, const aprational &r2) { return apint (d1) - r2; }
    friend aprational operator- (long d1, const aprational &r2) { return apint (d1) - r2; }
    friend aprational operator- (unsigned long d1, const aprational &r2) { return apint (d1) - r2; }
    friend aprational operator- (double d1, const aprational &r2) { return apint (d1) - r2; }
    friend aprational operator- (char *d1, const aprational &r2) { return apint (d1) - r2; }
    friend aprational operator- (const aprational &r1, int d2) { return r1 - apint (d2); }
    friend aprational operator- (const aprational &r1, unsigned d2) { return r1 - apint (d2); }
    friend aprational operator- (const aprational &r1, long d2) { return r1 - apint (d2); }
    friend aprational operator- (const aprational &r1, unsigned long d2) { return r1 - apint (d2); }
    friend aprational operator- (const aprational &r1, double d2) { return r1 - apint (d2); }
    friend aprational operator- (const aprational &r1, char *d2) { return r1 - apint (d2); }
    friend aprational operator* (int d1, const aprational &r2) { return apint (d1) * r2; }
    friend aprational operator* (unsigned d1, const aprational &r2) { return apint (d1) * r2; }
    friend aprational operator* (long d1, const aprational &r2) { return apint (d1) * r2; }
    friend aprational operator* (unsigned long d1, const aprational &r2) { return apint (d1) * r2; }
    friend aprational operator* (double d1, const aprational &r2) { return apint (d1) * r2; }
    friend aprational operator* (char *d1, const aprational &r2) { return apint (d1) * r2; }
    friend aprational operator* (const aprational &r1, int d2) { return r1 * apint (d2); }
    friend aprational operator* (const aprational &r1, unsigned d2) { return r1 * apint (d2); }
    friend aprational operator* (const aprational &r1, long d2) { return r1 * apint (d2); }
    friend aprational operator* (const aprational &r1, unsigned long d2) { return r1 * apint (d2); }
    friend aprational operator* (const aprational &r1, double d2) { return r1 * apint (d2); }
    friend aprational operator* (const aprational &r1, char *d2) { return r1 * apint (d2); }
    friend aprational operator/ (int d1, const aprational &r2) { return apint (d1) / r2; }
    friend aprational operator/ (unsigned d1, const aprational &r2) { return apint (d1) / r2; }
    friend aprational operator/ (long d1, const aprational &r2) { return apint (d1) / r2; }
    friend aprational operator/ (unsigned long d1, const aprational &r2) { return apint (d1) / r2; }
    friend aprational operator/ (double d1, const aprational &r2) { return apint (d1) / r2; }
    friend aprational operator/ (char *d1, const aprational &r2) { return apint (d1) / r2; }
    friend aprational operator/ (const aprational &r1, int d2) { return r1 / apint (d2); }
    friend aprational operator/ (const aprational &r1, unsigned d2) { return r1 / apint (d2); }
    friend aprational operator/ (const aprational &r1, long d2) { return r1 / apint (d2); }
    friend aprational operator/ (const aprational &r1, unsigned long d2) { return r1 / apint (d2); }
    friend aprational operator/ (const aprational &r1, double d2) { return r1 / apint (d2); }
    friend aprational operator/ (const aprational &r1, char *d2) { return r1 / apint (d2); }

    friend bool operator== (int d1, const aprational &r2) { return apint (d1) == r2; }
    friend bool operator== (unsigned d1, const aprational &r2) { return apint (d1) == r2; }
    friend bool operator== (long d1, const aprational &r2) { return apint (d1) == r2; }
    friend bool operator== (unsigned long d1, const aprational &r2) { return apint (d1) == r2; }
    friend bool operator== (double d1, const aprational &r2) { return apint (d1) == r2; }
    friend bool operator== (char *d1, const aprational &r2) { return apint (d1) == r2; }
    friend bool operator== (const aprational &r1, int d2) { return r1 == apint (d2); }
    friend bool operator== (const aprational &r1, unsigned d2) { return r1 == apint (d2); }
    friend bool operator== (const aprational &r1, long d2) { return r1 == apint (d2); }
    friend bool operator== (const aprational &r1, unsigned long d2) { return r1 == apint (d2); }
    friend bool operator== (const aprational &r1, double d2) { return r1 == apint (d2); }
    friend bool operator== (const aprational &r1, char *d2) { return r1 == apint (d2); }
    friend bool operator!= (int d1, const aprational &r2) { return apint (d1) != r2; }
    friend bool operator!= (unsigned d1, const aprational &r2) { return apint (d1) != r2; }
    friend bool operator!= (long d1, const aprational &r2) { return apint (d1) != r2; }
    friend bool operator!= (unsigned long d1, const aprational &r2) { return apint (d1) != r2; }
    friend bool operator!= (double d1, const aprational &r2) { return apint (d1) != r2; }
    friend bool operator!= (char *d1, const aprational &r2) { return apint (d1) != r2; }
    friend bool operator!= (const aprational &r1, int d2) { return r1 != apint (d2); }
    friend bool operator!= (const aprational &r1, unsigned d2) { return r1 != apint (d2); }
    friend bool operator!= (const aprational &r1, long d2) { return r1 != apint (d2); }
    friend bool operator!= (const aprational &r1, unsigned long d2) { return r1 != apint (d2); }
    friend bool operator!= (const aprational &r1, double d2) { return r1 != apint (d2); }
    friend bool operator!= (const aprational &r1, char *d2) { return r1 != apint (d2); }

    aprational &operator+= (int d) { *this = *this + apint (d); return *this; }
    aprational &operator+= (unsigned d) { *this = *this + apint (d); return *this; }
    aprational &operator+= (long d) { *this = *this + apint (d); return *this; }
    aprational &operator+= (unsigned long d) { *this = *this + apint (d); return *this; }
    aprational &operator+= (double d) { *this = *this + apint (d); return *this; }
    aprational &operator+= (char *d) { *this = *this + apint (d); return *this; }
    aprational &operator-= (int d) { *this = *this - apint (d); return *this; }
    aprational &operator-= (unsigned d) { *this = *this - apint (d); return *this; }
    aprational &operator-= (long d) { *this = *this - apint (d); return *this; }
    aprational &operator-= (unsigned long d) { *this = *this - apint (d); return *this; }
    aprational &operator-= (double d) { *this = *this - apint (d); return *this; }
    aprational &operator-= (char *d) { *this = *this - apint (d); return *this; }
    aprational &operator*= (int d) { *this = *this * apint (d); return *this; }
    aprational &operator*= (unsigned d) { *this = *this * apint (d); return *this; }
    aprational &operator*= (long d) { *this = *this * apint (d); return *this; }
    aprational &operator*= (unsigned long d) { *this = *this * apint (d); return *this; }
    aprational &operator*= (double d) { *this = *this * apint (d); return *this; }
    aprational &operator*= (char *d) { *this = *this * apint (d); return *this; }
    aprational &operator/= (int d) { *this = *this / apint (d); return *this; }
    aprational &operator/= (unsigned d) { *this = *this / apint (d); return *this; }
    aprational &operator/= (long d) { *this = *this / apint (d); return *this; }
    aprational &operator/= (unsigned long d) { *this = *this / apint (d); return *this; }
    aprational &operator/= (double d) { *this = *this / apint (d); return *this; }
    aprational &operator/= (char *d) { *this = *this / apint (d); return *this; }
    aprational &operator= (const apint &d) { nom = d; den = apint (1); return *this; }
    aprational &operator= (int d) { nom = apint (d); den = apint (1); return *this; }
    aprational &operator= (unsigned d) { nom = apint (d); den = apint (1); return *this; }
    aprational &operator= (long d) { nom = apint (d); den = apint (1); return *this; }
    aprational &operator= (unsigned long d) { nom = apint (d); den = apint (1); return *this; }
    aprational &operator= (double d) { nom = apint (d); den = apint (1); return *this; }
    aprational &operator= (char *d) { nom = apint (d); den = apint (1); return *this; }

    // Type conversion