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📄 hugeintx.h

📁 HugeCalc 是一款高精度算法库
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// HugeIntX.h: interface for the CHugeIntX class.
//
//////////////////////////////////////////////////////////////////////

#if !defined(AFX_HUGEINTX_H__5B7DCBAC_6D89_4C55_B51F_D96B5E741B51__INCLUDED_)
#define AFX_HUGEINTX_H__5B7DCBAC_6D89_4C55_B51F_D96B5E741B51__INCLUDED_

#if _MSC_VER > 1000
	#pragma once
#endif // _MSC_VER > 1000

#include "HugeCalc.h"
class CInteriorX;
class CHugeIntX;

#ifndef _CHUGEINTX_VECTOR
    #define _CHUGEINTX_VECTOR
    typedef vector< CHugeIntX, HC_ALLOC > CHUGEINTX_VECTOR;
#endif // !defined(_CHUGEINTX_VECTOR)

#ifndef _LPCHUGEINTX_VECTOR
    #define _LPCHUGEINTX_VECTOR
    typedef vector< CONST CHugeIntX *, HC_ALLOC > LPCHUGEINTX_VECTOR;
#endif // !defined(_LPCHUGEINTX_VECTOR)

#define HUGEINTX_API HUGECALC_API

class HUGEINTX_API CHugeIntX
{
	friend class CHugeInt;
	// CompareAbs
	HUGEINTX_API friend CONST SINT8 CompareAbs( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST SINT8 CompareAbs( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST SINT8 CompareAbs( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST SINT8 CompareAbs( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST SINT8 CompareAbs( CONST CHugeIntX& left, CONST CHugeIntX& right );

	// Compare
	HUGEINTX_API friend CONST SINT8 Compare( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST SINT8 Compare( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST SINT8 Compare( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST SINT8 Compare( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST SINT8 Compare( CONST CHugeIntX& left, CONST CHugeIntX& right );

	// relation operators
	HUGEINTX_API friend CONST BOOL operator ==( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST BOOL operator ==( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator ==( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST BOOL operator ==( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST BOOL operator ==( CONST CHugeIntX& left, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator !=( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST BOOL operator !=( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator !=( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST BOOL operator !=( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST BOOL operator !=( CONST CHugeIntX& left, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator <( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST BOOL operator <( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator <( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST BOOL operator <( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST BOOL operator <( CONST CHugeIntX& left, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator <=( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST BOOL operator <=( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator <=( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST BOOL operator <=( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST BOOL operator <=( CONST CHugeIntX& left, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator >( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST BOOL operator >( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator >( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST BOOL operator >( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST BOOL operator >( CONST CHugeIntX& left, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator >=( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST BOOL operator >=( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST BOOL operator >=( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST BOOL operator >=( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST BOOL operator >=( CONST CHugeIntX& left, CONST CHugeIntX& right );

	// +
	HUGEINTX_API friend CONST CHugeIntX operator +( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST CHugeIntX operator +( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST CHugeIntX operator +( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST CHugeIntX operator +( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST CHugeIntX operator +( CONST CHugeIntX& left, CONST CHugeIntX& right );

	// -
	HUGEINTX_API friend CONST CHugeIntX operator -( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST CHugeIntX operator -( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST CHugeIntX operator -( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST CHugeIntX operator -( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST CHugeIntX operator -( CONST CHugeIntX& left, CONST CHugeIntX& right );

	// *
	HUGEINTX_API friend CONST CHugeIntX operator *( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST CHugeIntX operator *( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST CHugeIntX operator *( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST CHugeIntX operator *( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST CHugeIntX operator *( CONST CHugeIntX& left, CONST CHugeIntX& right );

	// Division, return quotient
	HUGEINTX_API friend CONST SINT64 Div( CONST UINT32 u32Dividend, CONST CHugeIntX& divisor, UINT32 * CONST pRemainder = NULL );
	HUGEINTX_API friend CONST SINT32 Div( CONST SINT32 s32Dividend, CONST CHugeIntX& divisor, SINT32 * CONST pRemainder = NULL );

	// /
	HUGEINTX_API friend CONST SINT64 operator /( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST SINT32 operator /( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST CHugeIntX operator /( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST CHugeIntX operator /( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST CHugeIntX operator /( CONST CHugeIntX& left, CONST CHugeIntX& right );

	// %
	HUGEINTX_API friend CONST UINT32 operator %( CONST UINT32 u32Num, CONST CHugeIntX& right );
	HUGEINTX_API friend CONST SINT32 operator %( CONST SINT32 s32Num, CONST CHugeIntX& right );

	HUGEINTX_API friend CONST SINT64 operator %( CONST CHugeIntX& left, CONST UINT32 u32Num );
	HUGEINTX_API friend CONST SINT32 operator %( CONST CHugeIntX& left, CONST SINT32 s32Num );

	HUGEINTX_API friend CONST CHugeIntX operator %( CONST CHugeIntX& left, CONST CHugeIntX& right );

public:
	// Constructor
	explicit CHugeIntX( VOID );
	explicit CHugeIntX( CONST UINT32& u32Num );
	explicit CHugeIntX( CONST SINT32& s32Num );
	explicit CHugeIntX( CONST UINT64& u64Num );
	explicit CHugeIntX( CONST SINT64& s64Num );
	explicit CHugeIntX( CONST LPCTSTR lpszNum );
	explicit CHugeIntX( CONST CARRY_PARAM& CarryParam );
	explicit CHugeIntX( CONST CHugeIntX& right );
	explicit CHugeIntX( CONST CHugeInt& right );

	// destructor
	/*virtual */~CHugeIntX( );

	static CONST SIZE_T GetCount( VOID );

	// reload operator ->
	CHugeIntX * CONST operator ->( VOID );

	// get property
	CONST BOOL operator !( VOID ) CONST;
	CONST BOOL IsAbsOne( VOID ) CONST;
	CONST BOOL IsOdd( VOID ) CONST;
	CONST BOOL IsEven( VOID ) CONST;
	CONST SINT8 GetSign( VOID ) CONST;
	CONST SIZE_T GetDigitals( VOID ) CONST;
	CONST BOOL CanConvertSINT64( SINT64& s64Num ) CONST;

	CONST CHugeIntX Abs( VOID ) CONST;
	CONST CHugeIntX operator -( VOID ) CONST;

	CHugeIntX& Negate( VOID );
 	CHugeIntX& Swap( CHugeIntX& right );

	// reload operators
	CHugeIntX& operator =( CONST UINT32& u32Num );
	CHugeIntX& operator =( CONST SINT32& s32Num );
	CHugeIntX& operator =( CONST UINT64& u64Num );
	CHugeIntX& operator =( CONST SINT64& s64Num );
	CHugeIntX& operator =( CONST LPCTSTR lpszNum );
	CHugeIntX& operator =( CONST CARRY_PARAM& CarryParam );
	CHugeIntX& operator =( CONST CHugeIntX& right );
	CHugeIntX& operator =( CONST CHugeInt& right );

	CHugeIntX& operator +=( CONST UINT32 u32Num );
	CHugeIntX& operator +=( CONST SINT32 s32Num );
	CHugeIntX& operator +=( CONST CHugeIntX& right );

	CHugeIntX& operator ++( VOID );
	CONST CHugeIntX operator ++( CONST INT );

	CHugeIntX& operator -=( CONST UINT32 u32Num );
	CHugeIntX& operator -=( CONST SINT32 s32Num );
	CHugeIntX& operator -=( CONST CHugeIntX& right );

	CHugeIntX& operator --( VOID );
	CONST CHugeIntX operator --( CONST INT );

	CHugeIntX& operator *=( CONST UINT32 u32Num );
	CHugeIntX& operator *=( CONST SINT32 s32Num );
	CHugeIntX& operator *=( CONST CHugeIntX& right );

	CHugeIntX& operator /=( CONST UINT32 u32Num );
	CHugeIntX& operator /=( CONST SINT32 s32Num );
	CHugeIntX& operator /=( CONST CHugeIntX& right );

	CHugeIntX& operator %=( CONST UINT32 u32Num );
	CHugeIntX& operator %=( CONST SINT32 s32Num );
	CHugeIntX& operator %=( CONST CHugeIntX& right );

	CHugeIntX& operator <<=( CONST UINT32 u32LShift );
	CHugeIntX& operator >>=( CONST UINT32 u32RShift );

	CONST CHugeIntX operator <<( CONST UINT32 u32LShift ) CONST;
	CONST CHugeIntX operator >>( CONST UINT32 u32RShift ) CONST;

	CHugeIntX& operator &=( CONST CHugeIntX& right );
	CHugeIntX& operator ^=( CONST CHugeIntX& right );
	CHugeIntX& operator |=( CONST CHugeIntX& right );

	CONST CHugeIntX operator &( CONST CHugeIntX& right ) CONST;
	CONST CHugeIntX operator ^( CONST CHugeIntX& right ) CONST;
	CONST CHugeIntX operator |( CONST CHugeIntX& right ) CONST;

	CONST SIZE_T GetBits( VOID ) CONST;
	CONST BOOL IsBitOne( CONST UINT32 u32BitIndex );

	// Multiplication, return product
	CHugeIntX& Mul( CONST UINT32 u32Multiplicand, CONST CHugeIntX& multiplier );
	CHugeIntX& Mul( CONST SINT32 s32Multiplicand, CONST CHugeIntX& multiplier );

	CHugeIntX& Mul( CONST CHugeIntX& multiplicand, CONST UINT32 u32Multiplier );
	CHugeIntX& Mul( CONST CHugeIntX& multiplicand, CONST SINT32 s32Multiplier );

	CHugeIntX& Mul( CONST CHugeIntX& multiplicand, CONST CHugeIntX& multiplier );

	// Division, return quotient
	CHugeIntX& Div( CONST CHugeIntX& dividend, CONST UINT32 u32Divisor, SINT64 * CONST pRemainder = NULL );
	CHugeIntX& Div( CONST CHugeIntX& dividend, CONST SINT32 s32Divisor, SINT32 * CONST pRemainder = NULL );

	CHugeIntX& Div( CONST CHugeIntX& dividend, CONST CHugeIntX& divisor, CHugeIntX * CONST pRemainder = NULL );

	CHugeIntX& Pow( CONST UINT32 r );
	CHugeIntX& Pow( CONST CHugeIntX& hugeBase, CONST UINT32 r );

	// Extraction
	CHugeIntX& Root( CONST CHugeIntX& radicand, CONST UINT32 r, CHugeIntX * CONST pRemainder = NULL, BOOL * CONST pIsReal = NULL );

	// Logarithm
	CONST UINT32 Log( CONST UINT32 u32Base, BOOL * CONST pIsExact = NULL ) CONST;
	CONST UINT32 Log( CONST CHugeIntX& hugeBase, BOOL * CONST pIsExact = NULL ) CONST;

	// PowMod
	CHugeIntX& PowMod( CONST UINT32 u32Base, CONST UINT32 r, CONST CHugeIntX& hugeMod );
	CHugeIntX& PowMod( CONST SINT32 s32Base, CONST UINT32 r, CONST CHugeIntX& hugeMod );
	CHugeIntX& PowMod( CONST CHugeIntX& hugeBase, CONST UINT32 r, CONST CHugeIntX& hugeMod );

	// Fibonacci
	CHugeIntX& Fibonacci( CONST UINT32 n );

	// Factorial, Permutation, Combination
	CHugeIntX& Factorial( CONST UINT32 n, CONST BOOL bDouble = FALSE );
	CHugeIntX& Permutation( CONST UINT32 n, CONST UINT32 r );
	CHugeIntX& Combination( CONST UINT32 n, CONST UINT32 r );

	// Greatest Common Divisor
	CHugeIntX& Gcd( CONST UINT32 u32Num, CONST CHugeIntX& right );
	CHugeIntX& Gcd( CONST SINT32 s32Num, CONST CHugeIntX& right );
	CHugeIntX& Gcd( CONST CHugeIntX& left, CONST UINT32 u32Num );
	CHugeIntX& Gcd( CONST CHugeIntX& left, CONST SINT32 s32Num );

	CHugeIntX& Gcd( CONST CHugeIntX& left, CONST CHugeIntX& right );

	CHugeIntX& Gcd( CONST CHUGEINTX_VECTOR& vHugeIntX );
	CHugeIntX& Gcd( CONST LPCHUGEINTX_VECTOR& vLpHugeIntX );

	// Lowest Common Multiple
	CHugeIntX& Lcm( CONST U32_VECTOR& vU32Num );

	CHugeIntX& Lcm( CONST UINT32 u32Num, CONST CHugeIntX& right );
	CHugeIntX& Lcm( CONST SINT32 s32Num, CONST CHugeIntX& right );
	CHugeIntX& Lcm( CONST CHugeIntX& left, CONST UINT32 u32Num );
	CHugeIntX& Lcm( CONST CHugeIntX& left, CONST SINT32 s32Num );

	CHugeIntX& Lcm( CONST CHugeIntX& left, CONST CHugeIntX& right );

	CHugeIntX& Lcm( CONST CHUGEINTX_VECTOR& vHugeIntX );
	CHugeIntX& Lcm( CONST LPCHUGEINTX_VECTOR& vLpHugeIntX );

	CHugeIntX& Product( CONST U32_VECTOR& vU32Num );
	CHugeIntX& Product( CONST CHUGEINTX_VECTOR& vHugeIntX );
	CHugeIntX& Product( CONST LPCHUGEINTX_VECTOR& vLpHugeIntX );

	// if r==0, then call function: Product( ... );
	CHugeIntX& SumsOfLikePowers( CONST U32_VECTOR& vU32Num, CONST UINT32 r = 1 );
	CHugeIntX& SumsOfLikePowers( CONST CHUGEINTX_VECTOR& vHugeIntX, CONST UINT32 r = 1 );
	CHugeIntX& SumsOfLikePowers( CONST LPCHUGEINTX_VECTOR& vLpHugeIntX, CONST UINT32 r = 1 );

	// Output
	CONST LPCTSTR ConvertToStr( CONST BYTE byFormat = FS_DEFAULT, SIZE_T * CONST pStrLen = NULL ) CONST;
	// This function can convert the huge integer to a string of digits in another carry system.
	CONST LPCTSTR ConvertToStr( CONST UINT32 u32Carry /*= 10*/, UINT32 * CONST pDigitals = NULL, CONST BYTE byFormat = FS_DEFAULT, CONST UINT32 u32BandLength = 3, SIZE_T * CONST pStrLen = NULL ) CONST;
	VOID FreeStrBuffer( VOID ) CONST;

	CARRY_PARAM& ConvertToCarry( CARRY_PARAM& CarryParam ) CONST;

protected:

private:
	explicit CHugeIntX( CONST CInteriorX &right );
	CInteriorX &operator =( CONST CInteriorX &right );

	CInteriorX * CONST m_pInteriorX;
};

#endif // !defined(AFX_HUGEINTX_H__5B7DCBAC_6D89_4C55_B51F_D96B5E741B51__INCLUDED_)

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