lytgraphicsview.cpp

draw 2D and 3D basic graph with visual C++!

void CLYTGraphicsView::OnRectangle() 
{
	// TODO: Add your command handler code here
	s=2;
}

void CLYTGraphicsView::OnEllipse() 
{
	s=1;
	// TODO: Add your command handler code here
	
}

void CLYTGraphicsView::OnDuobianxing() 
{
	// TODO: Add your command handler code here
	s=4;
}

void CLYTGraphicsView::OnClear1() 
{
	// TODO: Add your command handler code here
	Invalidate();
	
}

void CLYTGraphicsView::OnLButtonUp(UINT nFlags, CPoint point) 
{
	// TODO: Add your message handler code here and/or call default
	if(s!=4) flag1=0;//控制绘制基本图形的
	CView::OnLButtonUp(nFlags, point);
}

void CLYTGraphicsView::OnLButtonDblClk(UINT nFlags, CPoint point) 
{
	// TODO: Add your message handler code here and/or call default
	flag1=0;//控制绘制基本图形的
	CView::OnLButtonDblClk(nFlags, point);
}

void CLYTGraphicsView::parabola(CPen *poldPen, CPoint *pp, int n)//pp：型值点的坐标数组；n：型值点数
{
	int x,y,i,j,k=100;  //k插值数
	double t1,t2,t3,t,a,b,c,d;
	CClientDC dc(this);
	
	dc.SelectObject(poldPen);

	t=1.0/k;

	for(i=0;i<n-3;i++)  //画每两个型值点间的曲线段
	{
		for(j=0;j<=k;j++)  //参数t1在(0,0.5)范围内变化
		{
			t1=j*t;       
			t2=t1*t1;    //t2即t1^2
			t3=t1*t2;    //t3即t1^3
			a=(-t3+3*t2-3*t1+1)/6;
			b=(3*t3-6*t2+4)/6;
			c=(-3*t3+3*t2+3*t1+1)/6;
			d=(t3)/6;
			x=int(a*pp[i].x+b*pp[i+1].x+c*pp[i+2].x+d*pp[i+3].x);
			y=int(a*pp[i].y+b*pp[i+1].y+c*pp[i+2].y+d*pp[i+3].y);

			SetPixel(dc,x,y,RGB(0,200,0));
			
		}
	}

}

void CLYTGraphicsView::OnDrawByt() 
{
	// TODO: Add your command handler code here
	flag3=1;
	CClientDC dc(this);
	CPen yellow_pen(PS_SOLID,3,RGB(255,255,0));
	CPen *poldPen=dc.SelectObject(&yellow_pen);
	parabola(poldPen,p,m_PN);
	m_PN=0;
	
}

void CLYTGraphicsView::MatrixMultiply(float a[][3], float b[][3])//两个矩阵相乘的函数
{
	int i,j,k;
	float c[3][3]={0};
	for(i=0;i<3;i++)
		for(j=0;j<3;j++)
		for(k=0;k<3;k++)
			c[i][j]=c[i][j]+a[i][k]*b[k][j];
       for(i=0;i<3;i++)
		   for(j=0;j<2;j++)
			   p4[i][j]=c[i][j];


}

void CLYTGraphicsView::InitialMatrix()//将变换矩阵初始化为单位矩阵
{
	int i,j;
	for(i=0;i<3;i++)
		for(j=0;j<3;j++)
			if(j==i) t[i][j]=1;
			else t[i][j]=0;


}

void CLYTGraphicsView::OnScale() //相对于原点比例缩放
{
	// TODO: Add your command handler code here
	if(dlg1.DoModal()==IDOK)	
{
	 s4=5;
	 UpdateData(true);
	 InitialMatrix();
	 t[0][0]=dlg1.m1;
	 t[1][1]=dlg1.m2;
	 MatrixMultiply(p4,t);
	 Invalidate();
}
	
	
}

void CLYTGraphicsView::OnDrawAngle() //绘制一个三角形
{
	// TODO: Add your command handler code here
	s4=0;
	flag4=1;
}

void CLYTGraphicsView::OnScale1() //相对于任意点缩放
{
	// TODO: Add your command handler code here
	s4=4;
	
}

void CLYTGraphicsView::OnXsymmetry() //相对于x轴做对称变换
{
	s4=5;
	InitialMatrix();
	t[1][1]=-1;
	MatrixMultiply(p4,t);
	Invalidate();
	// TODO: Add your command handler code here
	
}

void CLYTGraphicsView::OnYsymmetry() //相对于y轴做对称变换
{
	// TODO: Add your command handler code here
	s4=5;
	InitialMatrix();
	t[0][0]=-1;
	MatrixMultiply(p4,t);
	Invalidate();


	
}

void CLYTGraphicsView::OnOsymmetry() //相对于原点做对称变换
{
	// TODO: Add your command handler code here
	s4=5;
	InitialMatrix();
	t[0][0]=-1;
    t[1][1]=-1;
	MatrixMultiply(p4,t);
	Invalidate();
	
}

void CLYTGraphicsView::OnRotationOriginal() //绕原点旋转
{
	// TODO: Add your command handler code here
	s4=5;

if(dlg2.DoModal()==IDOK)
{
	UpdateData(true);
	float a=dlg2.angle*3.142/180;
    InitialMatrix();
	/*计算旋转矩阵*/
	t[0][0]=t[1][1]=cos(a);
	t[0][1]=sin(a);
	t[1][0]=-sin(a);
	MatrixMultiply(p4,t);
	Invalidate();
}
	
}

void CLYTGraphicsView::OnRotationAnypoint() //绕任意点旋转（即绕鼠标左键按下的点旋转）
{
	// TODO: Add your command handler code here
	s4=3;//转鼠标左键按下得消息响应函数
	
}

void CLYTGraphicsView::OnShear() //进行错切变换
{
	// TODO: Add your command handler code here
	s4=5;
if(dlg3.DoModal()==IDOK)
{
	UpdateData(true);
	InitialMatrix();
	t[0][1]=dlg3.m1;
	t[1][0]=dlg3.m2;
	MatrixMultiply(p4,t);
	Invalidate();
}
	
}

void CLYTGraphicsView::OnClearTwo() 
{
	// TODO: Add your command handler code here
	int i,j;
	for(i=0;i<3;i++)
		for(j=0;j<3;j++)
			p4[i][j]=0;
		s4=5;
		flag4=0;
		n4=0;
		Invalidate();
	
}

void CLYTGraphicsView::OnDrawCuboid() //绘制长方体的消息响应函数
{
	// TODO: Add your command handler code here
	flag5=1;
	RedrawWindow();//Updates a specified rectangle or region in the client area.
	point[0].x=0;point[0].y=0;point[0].z=0;
	point[1].x=0;point[1].y=0;point[1].z=100;
	point[2].x=100;point[2].y=0;point[2].z=100;
	point[3].x=100;point[3].y=0;point[3].z=0;
	point[4].x=0;point[4].y=100;point[4].z=0;
	point[5].x=0;point[5].y=100;point[5].z=100;
	point[6].x=100;point[6].y=100;point[6].z=100;
	point[7].x=100;point[7].y=100;point[7].z=0;

	DrawGraphics(point,8);

	
}

void CLYTGraphicsView::Transform3DTo2D(Point2D *pt2d, const Point3D *pt3d, const int &n)
{
	for(int i=0;i<n;i++)
	{
		pt2d[i].x=pt3d[i].x - pt3d[i].z /sqrt(2);
		pt2d[i].y=pt3d[i].y - pt3d[i].z /sqrt(2);
	}

}

void CLYTGraphicsView::ClearMatrix()//将存放长方体顶点的矩阵清零
{
	for(int i=0;i<4;i++)
		for(int j=0;j<4;j++)
			matrix[i][j]=0;

}

void CLYTGraphicsView::DrawGraphics(const Point3D *pt, const int &n)//绘制长方体
{
	CClientDC dc(this);
	CPen pen;
	pen.CreatePen(PS_SOLID,1,RGB(0,0,255));
	CPen *pOld=dc.SelectObject(&pen);

	Point2D * point=new Point2D[8];
	Transform3DTo2D(point,pt,n);

	dc.MoveTo(ROUND(point[0].x+MaxX/2),ROUND(MaxY/2-point[0].y));
	dc.LineTo(ROUND(point[1].x+MaxX/2),ROUND(MaxY/2-point[1].y));
	dc.LineTo(ROUND(point[2].x+MaxX/2),ROUND(MaxY/2-point[2].y));
	dc.LineTo(ROUND(point[3].x+MaxX/2),ROUND(MaxY/2-point[3].y));
	dc.LineTo(ROUND(point[0].x+MaxX/2),ROUND(MaxY/2-point[0].y));

	dc.MoveTo(ROUND(point[4].x+MaxX/2),ROUND(MaxY/2-point[4].y));
	dc.LineTo(ROUND(point[5].x+MaxX/2),ROUND(MaxY/2-point[5].y));
	dc.LineTo(ROUND(point[6].x+MaxX/2),ROUND(MaxY/2-point[6].y));
	dc.LineTo(ROUND(point[7].x+MaxX/2),ROUND(MaxY/2-point[7].y));
	dc.LineTo(ROUND(point[4].x+MaxX/2),ROUND(MaxY/2-point[4].y));

	dc.MoveTo(ROUND(point[2].x+MaxX/2),ROUND(MaxY/2-point[2].y));
	dc.LineTo(ROUND(point[3].x+MaxX/2),ROUND(MaxY/2-point[3].y));
	dc.LineTo(ROUND(point[7].x+MaxX/2),ROUND(MaxY/2-point[7].y));
	dc.LineTo(ROUND(point[6].x+MaxX/2),ROUND(MaxY/2-point[6].y));
	dc.LineTo(ROUND(point[2].x+MaxX/2),ROUND(MaxY/2-point[2].y));

	dc.MoveTo(ROUND(point[0].x+MaxX/2),ROUND(MaxY/2-point[0].y));
	dc.LineTo(ROUND(point[1].x+MaxX/2),ROUND(MaxY/2-point[1].y));
	dc.LineTo(ROUND(point[5].x+MaxX/2),ROUND(MaxY/2-point[5].y));
	dc.LineTo(ROUND(point[4].x+MaxX/2),ROUND(MaxY/2-point[4].y));
	dc.LineTo(ROUND(point[0].x+MaxX/2),ROUND(MaxY/2-point[0].y));

	dc.MoveTo(ROUND(point[1].x+MaxX/2),ROUND(MaxY/2-point[1].y));
	dc.LineTo(ROUND(point[2].x+MaxX/2),ROUND(MaxY/2-point[2].y));
	dc.LineTo(ROUND(point[6].x+MaxX/2),ROUND(MaxY/2-point[6].y));
	dc.LineTo(ROUND(point[5].x+MaxX/2),ROUND(MaxY/2-point[5].y));
	dc.LineTo(ROUND(point[1].x+MaxX/2),ROUND(MaxY/2-point[1].y));

	dc.MoveTo(ROUND(point[0].x+MaxX/2),ROUND(MaxY/2-point[0].y));
	dc.LineTo(ROUND(point[3].x+MaxX/2),ROUND(MaxY/2-point[3].y));
	dc.LineTo(ROUND(point[7].x+MaxX/2),ROUND(MaxY/2-point[7].y));
	dc.LineTo(ROUND(point[4].x+MaxX/2),ROUND(MaxY/2-point[4].y));
	dc.LineTo(ROUND(point[0].x+MaxX/2),ROUND(MaxY/2-point[0].y));

	dc.SelectObject(pOld);
	pen.DeleteObject();

}

Point3D * CLYTGraphicsView::TranslatePoint(Point3D *pt, double matrix[][4], const int &n)
{
	for(int i=0;i<n;i++)
	{
		double a[4] = {pt[i].x,pt[i].y,pt[i].z,1};
		pt[i].x = a[0]*matrix[0][0] + a[1]*matrix[1][0] + a[2]*matrix[2][0]+a[3]*matrix[3][0];
		pt[i].y = a[0]*matrix[0][1] + a[1]*matrix[1][1] + a[2]*matrix[2][1]+a[3]*matrix[3][1];
		pt[i].z = a[0]*matrix[0][2] + a[1]*matrix[1][2] + a[2]*matrix[2][2]+a[3]*matrix[3][2];
	}
	return pt;

}

void CLYTGraphicsView::GetMaxY()
{
	CRect rect;
	GetClientRect(&rect);
	MaxY=rect.bottom;

}

void CLYTGraphicsView::GetMaxX()
{
	CRect rect;
	GetClientRect(&rect);
	MaxX=rect.right;

}

void CLYTGraphicsView::OnThreeTranslate() //三维平移变换（通过对话框）
{
	// TODO: Add your command handler code here
	if(model==0)
	{
		model++;
		pdlg=new LYTTHREE();
		pdlg->Create(IDD_DIALOG4);
		pdlg->ShowWindow(SW_SHOW);
		CRect rect;
		pdlg->GetWindowRect(&rect);
		pdlg->MoveWindow(700,100,rect.Width(),rect.Height());//设置显示对话框的位置
	}
	model=0;//重新设置model的值，点cancel后第二次再点重新调入对话框
	
}

void CLYTGraphicsView::OnThreeScale() //三维比例变换
{
	// TODO: Add your command handler code here
	ClearMatrix();
	matrix[0][0]=2;
	matrix[1][1]=3;
	matrix[2][2]=4;
	matrix[3][3]=1;

	RedrawWindow();

	TranslatePoint(point,matrix,8);

	DrawGraphics(point,8);
	
}

void CLYTGraphicsView::OnThreeRotation() //三维旋转变换
{
	// TODO: Add your command handler code here
	ClearMatrix();
	matrix[0][0]=cos(30*PI/180);
	matrix[0][1]=sin(30*PI/180);
	matrix[1][0]=-sin(30*PI/180);
	matrix[1][1]=cos(30*PI/180);
	matrix[2][2]=1;
	matrix[3][3]=1;

	RedrawWindow();

	TranslatePoint(point,matrix,8);

	DrawGraphics(point,8);
	
}

void CLYTGraphicsView::OnThreeReflect() //反射变换
{
	// TODO: Add your command handler code here
	ClearMatrix();
	matrix[0][0]=1;
	matrix[1][1]=1;
	matrix[2][2]=-1;
	matrix[3][3]=1;

	RedrawWindow();

	TranslatePoint(point,matrix,8);

	DrawGraphics(point,8);
	
}

void CLYTGraphicsView::OnThreeTwist() //三维错切变换
{
	// TODO: Add your command handler code here
	ClearMatrix();
	matrix[0][0]=1;
	matrix[1][1]=1;
	matrix[2][2]=1;
	matrix[3][3]=1;

	matrix[1][0]=0.5;
	matrix[2][0]=2;

	RedrawWindow();

	TranslatePoint(point,matrix,8);

	DrawGraphics(point,8);
	
}
LRESULT CLYTGraphicsView::OnTranslate(WPARAM wParam,LPARAM lParam)//手工处理消息映射
{
	ClearMatrix();
	matrix[0][0]=1;
	matrix[1][1]=1;
	matrix[2][2]=1;
	matrix[3][3]=1;

	switch(wParam)
	{
	case 1:
		matrix[3][1]=10;
		break;
	case 2:
		matrix[3][1]=-10;
		break;
	case 3:
		matrix[3][0]=-10;
		break;
	case 4:
		matrix[3][0]=10;
		break;
	case 5:
		matrix[3][2]=10;
		break;
	case 6:
		matrix[3][2]=-10;
		break;
	case 7:
		OnDrawCuboid();
		return 0;
	default:
		break;
	}

	RedrawWindow();
	TranslatePoint(point,matrix,8);
	DrawGraphics(point,8);
	return 0;
}





void CLYTGraphicsView::OnThreeClear() 
{
	// TODO: Add your command handler code here
	flag5=0;

	Invalidate();
	
}