rsadlg.cpp

对加密算法RSA的C++实现

// RSADlg.cpp : implementation file
//

#include "stdafx.h"
#include "RSA.h"
#include "RSADlg.h"
#include "math.h"

#ifdef _DEBUG
#define new DEBUG_NEW
#undef THIS_FILE
static char THIS_FILE[] = __FILE__;
#endif

/////////////////////////////////////////////////////////////////////////////
// CAboutDlg dialog used for App About

class CAboutDlg : public CDialog
{
public:
	CAboutDlg();

// Dialog Data
	//{{AFX_DATA(CAboutDlg)
	enum { IDD = IDD_ABOUTBOX };
	//}}AFX_DATA

	// ClassWizard generated virtual function overrides
	//{{AFX_VIRTUAL(CAboutDlg)
	protected:
	virtual void DoDataExchange(CDataExchange* pDX);    // DDX/DDV support
	//}}AFX_VIRTUAL

// Implementation
protected:
	//{{AFX_MSG(CAboutDlg)
	//}}AFX_MSG
	DECLARE_MESSAGE_MAP()
};

CAboutDlg::CAboutDlg() : CDialog(CAboutDlg::IDD)
{
	//{{AFX_DATA_INIT(CAboutDlg)
	//}}AFX_DATA_INIT
}

void CAboutDlg::DoDataExchange(CDataExchange* pDX)
{
	CDialog::DoDataExchange(pDX);
	//{{AFX_DATA_MAP(CAboutDlg)
	//}}AFX_DATA_MAP
}

BEGIN_MESSAGE_MAP(CAboutDlg, CDialog)
	//{{AFX_MSG_MAP(CAboutDlg)
		// No message handlers
	//}}AFX_MSG_MAP
END_MESSAGE_MAP()

/////////////////////////////////////////////////////////////////////////////
// CRSADlg dialog

CRSADlg::CRSADlg(CWnd* pParent /*=NULL*/)
	: CDialog(CRSADlg::IDD, pParent)
{
	//{{AFX_DATA_INIT(CRSADlg)
	m_p = 0;
	m_q = 0;
	m_n = 0;
	m_code = 0;
	m_decode = 0;
	m_dtxt = _T("");
	m_etxt = _T("");
	m_ptxt = _T("");
	//}}AFX_DATA_INIT
	// Note that LoadIcon does not require a subsequent DestroyIcon in Win32
	m_hIcon = AfxGetApp()->LoadIcon(IDR_MAINFRAME);
}

void CRSADlg::DoDataExchange(CDataExchange* pDX)
{
	CDialog::DoDataExchange(pDX);
	//{{AFX_DATA_MAP(CRSADlg)
	DDX_Text(pDX, IDC_EDIT_P, m_p);
	DDX_Text(pDX, IDC_EDIT_Q, m_q);
	DDX_Text(pDX, IDC_EDIT_N, m_n);
	DDX_Text(pDX, IDC_EDIT_CODE, m_code);
	DDX_Text(pDX, IDC_EDIT_DECODE, m_decode);
	DDX_Text(pDX, IDC_EDIT_DecryptText, m_dtxt);
	DDX_Text(pDX, IDC_EDIT_EncryptText, m_etxt);
	DDX_Text(pDX, IDC_EDIT_PLAINTEXT, m_ptxt);
	//}}AFX_DATA_MAP
}

BEGIN_MESSAGE_MAP(CRSADlg, CDialog)
	//{{AFX_MSG_MAP(CRSADlg)
	ON_WM_SYSCOMMAND()
	ON_WM_PAINT()
	ON_WM_QUERYDRAGICON()
	ON_BN_CLICKED(IDC_BUTTON_PRODUCE, OnButtonProduce)
	ON_BN_CLICKED(IDCANCEL3, OnCode)
	ON_BN_CLICKED(IDCANCEL2, OnDecode)
	//}}AFX_MSG_MAP
END_MESSAGE_MAP()

/////////////////////////////////////////////////////////////////////////////
// CRSADlg message handlers

BOOL CRSADlg::OnInitDialog()
{
	CDialog::OnInitDialog();

	// Add "About..." menu item to system menu.

	// IDM_ABOUTBOX must be in the system command range.
	ASSERT((IDM_ABOUTBOX & 0xFFF0) == IDM_ABOUTBOX);
	ASSERT(IDM_ABOUTBOX < 0xF000);

	CMenu* pSysMenu = GetSystemMenu(FALSE);
	if (pSysMenu != NULL)
	{
		CString strAboutMenu;
		strAboutMenu.LoadString(IDS_ABOUTBOX);
		if (!strAboutMenu.IsEmpty())
		{
			pSysMenu->AppendMenu(MF_SEPARATOR);
			pSysMenu->AppendMenu(MF_STRING, IDM_ABOUTBOX, strAboutMenu);
		}
	}

	// Set the icon for this dialog.  The framework does this automatically
	//  when the application's main window is not a dialog
	SetIcon(m_hIcon, TRUE);			// Set big icon
	SetIcon(m_hIcon, FALSE);		// Set small icon
	
	// TODO: Add extra initialization here
	
	return TRUE;  // return TRUE  unless you set the focus to a control
}

void CRSADlg::OnSysCommand(UINT nID, LPARAM lParam)
{
	if ((nID & 0xFFF0) == IDM_ABOUTBOX)
	{
		CAboutDlg dlgAbout;
		dlgAbout.DoModal();
	}
	else
	{
		CDialog::OnSysCommand(nID, lParam);
	}
}

// If you add a minimize button to your dialog, you will need the code below
//  to draw the icon.  For MFC applications using the document/view model,
//  this is automatically done for you by the framework.

void CRSADlg::OnPaint() 
{
	if (IsIconic())
	{
		CPaintDC dc(this); // device context for painting

		SendMessage(WM_ICONERASEBKGND, (WPARAM) dc.GetSafeHdc(), 0);

		// Center icon in client rectangle
		int cxIcon = GetSystemMetrics(SM_CXICON);
		int cyIcon = GetSystemMetrics(SM_CYICON);
		CRect rect;
		GetClientRect(&rect);
		int x = (rect.Width() - cxIcon + 1) / 2;
		int y = (rect.Height() - cyIcon + 1) / 2;

		// Draw the icon
		dc.DrawIcon(x, y, m_hIcon);
	}
	else
	{
		CDialog::OnPaint();
	}
}

// The system calls this to obtain the cursor to display while the user drags
//  the minimized window.
HCURSOR CRSADlg::OnQueryDragIcon()
{
	return (HCURSOR) m_hIcon;
}

void CRSADlg::OnButtonProduce() 
{
	// TODO: Add your control notification handler code here
	UpdateData(true);

	while(true)
	{
		srand(time(0));
		m_p = rand() % 100;
		m_q = rand() % 100;
		if (isPrime(m_p) && isPrime(m_q))
			break;
	}
	m_n = m_p * m_q;

	int fiN = (m_p - 1) * (m_q - 1);
	//int e;

	for (int i = 3; i < fiN; i++)
	{
		if (isPrime(i) && gcd(fiN, i) == 1)
		{
			m_code = i;
			break;
		}
	}

	Euler(m_code, fiN);
	UpdateData(false);
}




int CRSADlg::power(int a, int n, int m)
{
	
    int z=1, t;

	for(t=a; n>0; n>>=1)
    { 
         if (n%2==1) z=(z*t) % m;
         t=(t*t) % m;
    }
	return(z);
}


BOOL CRSADlg::isPrime(int x)
{	
	int i;

	for (i = 2; i <= (int)sqrt(x); i++)
	{
		if (x % i == 0)
			break;
	}
	if (i > (int)sqrt(x))
		return true;
	return false;
}

int CRSADlg::gcd(int a, int b)
{
	if (a == 0)
	{
		return b;
	}
	else
	{
		return gcd(b % a, a);
	}

}

void CRSADlg::Euler(int e, int fin)
{
	int u1 = 1;
	int u2 = 0;
	int u3 = fin;
	int v1 = 0;
	int v2 = 1;
	int v3 = e;
	int v = 1;
	int t1, t2, t3;
	int q;
	int uu, vv;
	int inverse, z;
	while (v3 != 0)
	{
		q = (int)(u3 /v3);
		t1 = u1 - q * v1;
		t2 = u2 - q * v2;
		t3 = u3 - q * v3;
		u1 = v1;
		u2 = v2;
		u3 = v3;
		v1 = t1;
		v2 = t2;
		v3 = t3;
		z =  1;
	}
	uu = u1;
	vv = u2;

	if (vv < 0)
		inverse = vv + fin;
	else
		inverse = vv;

	m_decode = inverse;
}

void CRSADlg::OnCode() 
{
	CString temp;

	UpdateData(true);
	
	CString encSt = "";
	CString e2st = "";

	if (m_ptxt.IsEmpty())
		return;
	for (int i = 0; i < m_ptxt.GetLength(); i++)
	{
		temp = encSt;
		encSt.Format("%s%d%s",temp,power((int)m_ptxt.GetAt(i), m_code, m_n),"+");
		//
			//encSt + CSring(power((int)m_ptxt.GetAt(i), m_code, m_n)) + "+";
			//str.Format("%s%d", str, 123);
	}
	m_etxt = encSt;
	UpdateData(false);
}

void CRSADlg::OnDecode() 
{
	int ptr;
	int tok;
	CString temp = "";
	UpdateData(true);

	CString DecSt  = "";
	//int t = m_etxt.GetLength();
	for (int i = 0; i < m_etxt.GetLength();)
	{
		ptr = m_etxt.Find("+", i);
		tok = atoi(m_etxt.Mid(i, ptr - i));
		temp = DecSt;
		DecSt.Format("%s%c", temp, char(power(tok, m_decode, m_n)));
		i = i + num(tok) + 1;
	}


	m_dtxt = DecSt;

	UpdateData(false);
}

int CRSADlg::num(int x)
{
	int n = 0;
	while (x)
	{
		n++;
		x /= 10;
	}

	return n;
}