+++ /dev/null
-/*
-* Matt McCutchen's Big Integer Library
-* http://mysite.verizon.net/mccutchen/bigint/
-*/
-
-#ifndef BIGINTEGER
-#define BIGINTEGER
-
-#include "BigUnsigned.h"
-
-/*
-*
-* A BigInteger object represents a signed integer of size
-* limited only by available memory. A BigInteger can be
-* created from and converted back to most integral types,
-* and many math operations are defined on them.
-*
-* The number is stored as a series of blocks in a
-* dynamically allocated array. It is as if the numbers
-* were written digit by digit in base 2^32.
-*
-* This class is derived from BigUnsigned, which represents
-* a large nonnegative integer. This should be understood
-* first, as only new or different things are declared here.
-* Some things are redeclared so that they use the BigInteger
-* versions of methods, rather than the BigUnsigned versions.
-*/
-
-class BigInteger : public BigUnsigned {
-
- // TYPES & CONSTANTS
- public:
- enum Sign { negative = -1, zero = 0, positive = 1 }; // Enumeration for the sign of a BigInteger
-
- // FIELDS
- protected:
- Sign sign; // The sign of this BigInteger
-
- // MANAGEMENT
- protected:
- BigInteger(Sign s, BlkNum c); // Creates a BigInteger with a sign and capacity
- public:
- BigInteger(); // Default constructor (value is 0)
- BigInteger(const BigInteger &x); // Copy constructor
- void operator=(const BigInteger &x); // Assignment operator
- BigInteger(const Blk *b, BlkNum l); // Constructor from an array of blocks
- BigInteger(const Blk *b, BlkNum l, Sign s); // Constructor from an array of blocks and a sign
- BigInteger(const BigUnsigned &x); // Constructor from a BigUnsigned
- BigInteger(const BigUnsigned &x, Sign s); // Constructor from a BigUnsigned and a sign
- // Constructors from integral types
- BigInteger(unsigned long x);
- BigInteger( long x);
- BigInteger(unsigned int x);
- BigInteger( int x);
- BigInteger(unsigned short x);
- BigInteger( short x);
- // Note that a BigInteger can be converted to a BigUnsigned
- // automatically; this takes its absolute value.
-
- // CONVERTERS to integral types
- public:
- operator unsigned long () const;
- operator long () const;
- operator unsigned int () const;
- operator int () const;
- operator unsigned short() const;
- operator short() const;
-
- // PICKING APART
- // These accessors can be used to get the pieces of the number
- public:
- Sign getSign() const;
-
- // COMPARISONS
- public:
- // Compares this to x like Perl's <=>
- CmpRes compareTo(const BigInteger &x) const;
- // Normal comparison operators
- bool operator ==(const BigInteger &x) const;
- bool operator !=(const BigInteger &x) const;
- bool operator < (const BigInteger &x) const;
- bool operator <=(const BigInteger &x) const;
- bool operator >=(const BigInteger &x) const;
- bool operator > (const BigInteger &x) const;
-
- // PUT-HERE OPERATIONS
- /* These store the result of the operation on the arguments into this.
- * a.add(b, c) is equivalent to, but faster than, a = b + c.
- * Calls like a.operation(a, b) are unsafe and not allowed. */
- public:
- void add (const BigInteger &a, const BigInteger &b); // Addition
- void subtract(const BigInteger &a, const BigInteger &b); // Subtraction
- void multiply(const BigInteger &a, const BigInteger &b); // Multiplication
- void divide (const BigInteger &a, const BigInteger &b); // Division
- void modulo (const BigInteger &a, const BigInteger &b); // Modular reduction
- void negate (const BigInteger &a ); // Negative
- // Some operations are inherently unsigned and are not
- // redefined for BigIntegers. Calling one of these on
- // a BigInteger will take its absolute value first.
-
- // NORMAL OPERATORS
- // These perform the operation on this (to the left of the operator)
- // and x (to the right of the operator) and return a new BigInteger with the result.
- public:
- BigInteger operator +(const BigInteger &x) const; // Addition
- BigInteger operator -(const BigInteger &x) const; // Subtraction
- BigInteger operator *(const BigInteger &x) const; // Multiplication
- BigInteger operator /(const BigInteger &x) const; // Division
- BigInteger operator %(const BigInteger &x) const; // Modular reduction
- BigInteger operator -( ) const; // Negative
-
- // ASSIGNMENT OPERATORS
- // These perform the operation on this and x, storing the result into this.
- public:
- void operator +=(const BigInteger &x); // Addition
- void operator -=(const BigInteger &x); // Subtraction
- void operator *=(const BigInteger &x); // Multiplication
- void operator /=(const BigInteger &x); // Division
- void operator %=(const BigInteger &x); // Modular reduction
- void flipSign(); // Negative
-
- // INCREMENT/DECREMENT OPERATORS
- // These increase or decrease the number by 1. To discourage side effects,
- // these do not return *this, so prefix and postfix behave the same.
- public:
- void operator ++( ); // Prefix increment
- void operator ++(int); // Postfix decrement
- void operator --( ); // Prefix increment
- void operator --(int); // Postfix decrement
-
-};
-
-// MANAGEMENT
-inline BigInteger::BigInteger(Sign s, BlkNum c) : BigUnsigned(0, c), sign(s) { }
-inline BigInteger::BigInteger() : BigUnsigned(), sign(zero) { }
-inline BigInteger::BigInteger(const BigInteger &x) : BigUnsigned(x), sign(x.sign) { }
-inline BigInteger::BigInteger(const Blk *b, BlkNum l) : BigUnsigned(b, l) { sign = (len == 0) ? zero : positive; }
-inline BigInteger::BigInteger(const BigUnsigned &x) : BigUnsigned(x) { sign = (len == 0) ? zero : positive; }
-
-// PICKING APART
-inline BigInteger::Sign BigInteger::getSign() const { return sign; }
-
-// COMPARISONS
-inline bool BigInteger::operator==(const BigInteger &x) const { return compareTo(x) == equal ; }
-inline bool BigInteger::operator!=(const BigInteger &x) const { return compareTo(x) != equal ; }
-inline bool BigInteger::operator< (const BigInteger &x) const { return compareTo(x) == less ; }
-inline bool BigInteger::operator<=(const BigInteger &x) const { return compareTo(x) != greater; }
-inline bool BigInteger::operator>=(const BigInteger &x) const { return compareTo(x) != less ; }
-inline bool BigInteger::operator> (const BigInteger &x) const { return compareTo(x) == greater; }
-
-// NORMAL OPERATORS
-/* These create an object to hold the result and invoke
-* the appropriate put-here operation on it, passing
-* this and x. The new object is then returned. */
-inline BigInteger BigInteger::operator +(const BigInteger &x) const {
- BigInteger ans;
- ans.add(*this, x);
- return ans;
-}
-inline BigInteger BigInteger::operator -(const BigInteger &x) const {
- BigInteger ans;
- ans.subtract(*this, x);
- return ans;
-}
-inline BigInteger BigInteger::operator *(const BigInteger &x) const {
- BigInteger ans;
- ans.multiply(*this, x);
- return ans;
-}
-inline BigInteger BigInteger::operator /(const BigInteger &x) const {
- BigInteger ans;
- ans.divide(*this, x);
- return ans;
-}
-inline BigInteger BigInteger::operator %(const BigInteger &x) const {
- BigInteger ans;
- ans.modulo(*this, x);
- return ans;
-}
-inline BigInteger BigInteger::operator -() const {
- BigInteger ans;
- ans.negate(*this);
- return ans;
-}
-
-// ASSIGNMENT OPERATORS
-// These create a copy of this, then invoke the appropriate
-// put-here operation on this, passing the copy and x.
-inline void BigInteger::operator +=(const BigInteger &x) {
- BigInteger thisCopy(*this);
- add(thisCopy, x);
-}
-inline void BigInteger::operator -=(const BigInteger &x) {
- BigInteger thisCopy(*this);
- subtract(thisCopy, x);
-}
-inline void BigInteger::operator *=(const BigInteger &x) {
- BigInteger thisCopy(*this);
- multiply(thisCopy, x);
-}
-inline void BigInteger::operator /=(const BigInteger &x) {
- BigInteger thisCopy(*this);
- divide(thisCopy, x);
-}
-inline void BigInteger::operator %=(const BigInteger &x) {
- BigInteger thisCopy(*this);
- modulo(thisCopy, x);
-}
-// This one is trivial
-inline void BigInteger::flipSign() {
- sign = Sign(-sign);
-}
-
-#endif
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