矩形体排样问题
// TypeSet.cpp: implementation of the CTypeset class.
//
//////////////////////////////////////////////////////////////////////
#include "stdafx.h"
#include "..\INC\TypeSet.h"
//用法示例
void TestTypeset(HDC dc)
{
//声明一个板材对象
CTypeset typeset;
//设置板材对象大小
typeset.m_Desktop.m_dHeight=9999;
typeset.m_Desktop.m_dWidth=100;
//声明一个排样元素对象
CMaterial material;
//设置排样元素对象大小
material.SetSize(20,99);
//添加进入板材对象
typeset.Add(&material);
//继续添加
material.SetSize(99,80);
typeset.Add(&material);
material.SetSize(10,60);
typeset.Add(&material);
material.SetSize(50,20);
typeset.Add(&material);
//添加完毕，进行排样
typeset.Go();
//排样完毕，输出
list<CMaterial*>::iterator iter;
//画板材对象
::Rectangle(dc,typeset.m_Desktop.m_dX,typeset.m_Desktop.m_dY,
typeset.m_Desktop.m_dX+typeset.m_Desktop.m_dWidth,
typeset.m_Desktop.m_dY+typeset.m_Desktop.m_dHeight);
//画排样元素对象
for(iter=typeset.m_MaterialList.begin();iter!=typeset.m_MaterialList.end();iter++)
{
::Rectangle(dc,(*iter)->m_dX,(*iter)->m_dY,
(*iter)->m_dX+(*iter)->m_dWidth,
(*iter)->m_dY+(*iter)->m_dHeight);
}
}
//////////////////////////////////////////////////////////////////////
// CMaterial Class
//////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////
// Construction/Destruction
//////////////////////////////////////////////////////////////////////
#define ZERO 0.00001
CMaterial::CMaterial()
{
m_dHeight=100;
m_dWidth=100;
m_dX=0;
m_dY=0;
m_bUsed=FALSE;
m_bSeletcted=FALSE;
m_bRotated=FALSE;
m_iIndex=0;
}
CMaterial::CMaterial(double dWidth,double dHeight)
{
SetSize(dWidth,dHeight);
m_dX=0;
m_dY=0;
m_bUsed=FALSE;
m_bSeletcted=FALSE;
m_bRotated=FALSE;
m_iIndex=0;
}
CMaterial::CMaterial(CMaterial *pMaterial)
{
m_dX=pMaterial->m_dX;
m_dY=pMaterial->m_dY;
m_dHeight=pMaterial->m_dHeight;
m_dWidth=pMaterial->m_dWidth;
m_bUsed=pMaterial->m_bUsed;
m_bSeletcted=pMaterial->m_bSeletcted;
m_bRotated=pMaterial->m_bRotated;
m_iIndex=pMaterial->m_iIndex;
}
void CMaterial::SetSize(double dWidth, double dHeight)
{
m_dHeight=dHeight;
m_dWidth=dWidth;
}
void CMaterial::Rotated()
{
m_bRotated=!m_bRotated;
double dA=m_dHeight;
m_dHeight=m_dWidth;
m_dWidth=dA;
}
CMaterial::~CMaterial()
{
}
//////////////////////////////////////////////////////////////////////
// Construction/Destruction
//////////////////////////////////////////////////////////////////////
CTypeset::CTypeset()
{
Clear();
}
CTypeset::~CTypeset()
{
Clear();
}
void CTypeset::Clear()
{
list<CMaterial*>::iterator iter;
for(iter=m_MaterialList.begin();iter!=m_MaterialList.end();iter++)
{
delete (*iter);
}
m_MaterialList.clear();
m_iCurIndex=0;
}
void CTypeset::Add(CMaterial *pMaterial)
{
CMaterial *p=new CMaterial(pMaterial);
p->m_iIndex=m_iCurIndex;
m_MaterialList.insert(m_MaterialList.end(),p);
m_iCurIndex++;
}
void CTypeset::Sort()
{
list<CMaterial*> MaterialList;
list<CMaterial*>::iterator iter1,iter2,iter3;
bool bSourceInvert=false;
while (!m_MaterialList.empty())
{
double dMaxLen=0;
iter2=m_MaterialList.begin();
CMaterial *p=NULL;
iter1=m_MaterialList.end()--;
iter3=iter2;
while(iter2!=iter1)
{
if((*iter2)->m_dWidth>dMaxLen)
{
p=*iter2;
iter3=iter2;
dMaxLen=(*iter2)->m_dWidth;
bSourceInvert=false;
}
if((*iter2)->m_dHeight>dMaxLen)
{
p=*iter2;
iter3=iter2;
dMaxLen=(*iter2)->m_dHeight;
bSourceInvert=true;
}
iter2++;
}
if(p!=NULL)
{
if(bSourceInvert)
p->Rotated();
MaterialList.insert(MaterialList.end(),p);
m_MaterialList.erase(iter3);
}
}
m_MaterialList.clear();
for(iter1=MaterialList.begin();iter1!=MaterialList.end();iter1++)
{
m_MaterialList.insert(m_MaterialList.end(),(*iter1));
}
MaterialList.clear();
}
double CTypeset::Go()
{
double dRet=0;
list<CMaterial*> List;
list<CMaterial*>::iterator iter;
Sort();
Typeset(m_Desktop.m_dX,m_Desktop.m_dY,
m_Desktop.m_dWidth,m_Desktop.m_dHeight,&List);
m_MaterialList.clear();
for(iter=List.begin();iter!=List.end();iter++)
{
if((*iter)->m_dX<ZERO)
{
dRet+=(*iter)->m_dY;
}
(*iter)->m_bUsed=FALSE;
(*iter)->m_bSeletcted=FALSE;
m_MaterialList.insert(m_MaterialList.end(),(*iter));
}
List.clear();
return dRet;
}
double CTypeset::Typeset(double dStartX,double dStartY,double dStartHei,double dStartWid,
list<CMaterial*> *pList)
{
CMaterial *tmpunit=NULL;
list<CMaterial*>::iterator iter,iter1;
double dArea1,dArea2,dArea;//横放和竖放时的排样面积,和最后方案的排样面积
double dRestArea1,dRestArea2;//横放和竖放时排样后的剩余面积
list<CMaterial*> List1,List2;////横放和竖放时的最佳排样序列
double dHeight,dWidth;
dHeight=dStartHei;
dWidth=dStartWid;
if(m_MaterialList.empty())
return 0;
for(iter=m_MaterialList.begin();iter!=m_MaterialList.end();iter++)
{
if((*iter)->m_bUsed!=FALSE)
continue;
if((*iter)->m_dWidth<(*iter)->m_dHeight)
{
MessageBox(NULL,"错误","ERROR",MB_OK);
return 0;
}
//找出一张能放入的最大的没有排过的板材
//如果板材横竖都能放入
if(((dHeight>(*iter)->m_dWidth-ZERO)&&(dWidth>(*iter)->m_dHeight-ZERO))
&&((dHeight>(*iter)->m_dHeight-ZERO)&&(dWidth>(*iter)->m_dWidth-ZERO)))
{
if(dStartX<ZERO)
dWidth=(*iter)->m_dHeight;
(*iter)->SetUsed(TRUE);//对该图排样
//先横着放入继续排样，计算剩余面积
dArea1=Typeset(dStartX+(*iter)->m_dWidth,dStartY,
dHeight-(*iter)->m_dWidth,(*iter)->m_dHeight,&List1);
dRestArea1=dHeight*dWidth-dArea1-(*iter)->GetArea();
dRestArea1=dRestArea1/(dHeight*dWidth);//剩余面积率
//将刚才排过的板材状态还原，再竖直放入该图继续排样，计算剩余面积
if(dStartX<ZERO)
dWidth=(*iter)->m_dWidth;
SetStatus(&List1,FALSE);
tmpunit=(*iter)->Copy();
tmpunit->Rotated();
dArea2=Typeset(dStartX+tmpunit->m_dWidth,dStartY,
dHeight-tmpunit->m_dWidth,tmpunit->m_dHeight,&List2);
dRestArea2=dHeight*dWidth-dArea2-tmpunit->GetArea();
dRestArea2=dRestArea2/(dHeight*dWidth);//剩余面积率
}
else if((dHeight>(*iter)->m_dWidth-ZERO)&&(dWidth>(*iter)->m_dHeight-ZERO))//如果板材只能横着放入
{
if(dStartX<ZERO)
dWidth=(*iter)->m_dHeight;
(*iter)->SetUsed(TRUE);//对该图排样
dArea1=Typeset(dStartX+(*iter)->m_dWidth,dStartY,
dHeight-(*iter)->m_dWidth,(*iter)->m_dHeight,&List1);
dRestArea1=dHeight*dWidth-dArea1-(*iter)->GetArea();
dRestArea1=dRestArea1/(dHeight*dWidth);//剩余面积率
dRestArea2=dRestArea1+10;//不再尝试竖放，将竖放剩余面积设大
}
else if((dHeight>(*iter)->m_dHeight-ZERO)&&(dWidth>(*iter)->m_dWidth-ZERO))//如果板材只能竖着放入
{
if(dStartX<ZERO)
dWidth=(*iter)->m_dWidth;
(*iter)->SetUsed(TRUE);//对该图排样
tmpunit=(*iter)->Copy();
tmpunit->Rotated();
dArea2=Typeset(dStartX+tmpunit->m_dWidth,dStartY,
dHeight-tmpunit->m_dWidth,tmpunit->m_dHeight,&List2);
dRestArea2=dHeight*dWidth-dArea2-tmpunit->GetArea();
dRestArea2=dRestArea2/(dHeight*dWidth);//剩余面积率
dRestArea1=dRestArea2+10;//不再尝试横放，将横放剩余面积设大
}
else
continue;
//记录优化的排样序列
CMaterial *tmp=NULL;
if(dRestArea1<dRestArea2+ZERO)//当前板材横向排结果优化
{
SetStatus(&List2,FALSE);//将纵向排的排样序列还原状态
SetStatus(&List1,TRUE);//将横向排的排样序列标志为使用
dArea=dArea1+(*iter)->GetArea();;
tmp=(*iter)->Copy();
tmp->m_dX=(int)dStartX;
tmp->m_dY=(int)dStartY;
pList->insert(pList->end(),tmp);
while(!List1.empty())
{
iter1=List1.begin();
pList->insert(pList->end(),*iter1);
List1.erase(iter1);
}
//释放不好的序列
for(iter1=List2.begin();iter1!=List2.end();iter1++)
{
delete (*iter1);
}
List2.clear();
delete tmpunit;
}
else//当前板材纵向排结果优化
{
SetStatus(&List1,FALSE);//将横向排的排样序列还原状态
SetStatus(&List2,TRUE);//将纵向排的排样序列标志为使用
if(tmpunit==NULL)
{
MessageBox(NULL,"错误","ERROR",MB_OK);
return 0;
}
dArea=dArea2+(*iter)->GetArea();
tmp=tmpunit->Copy();
tmp->m_dX=(int)dStartX;
tmp->m_dY=(int)dStartY;
pList->insert(pList->end(),tmp);
while(!List2.empty())
{
iter1=List2.begin();
pList->insert(pList->end(),*iter1);
List2.erase(iter1);
}
//释放不好的序列
for(iter1=List1.begin();iter1!=List1.end();iter1++)
{
delete (*iter1);
}
List1.clear();
delete tmpunit;
}
double next_x,next_y,next_len,next_wid;
next_x=dStartX;
next_y=dStartY+tmp->m_dHeight;
next_len=dHeight;
next_wid=dStartWid-tmp->m_dHeight;
if(next_wid>ZERO)//板材还有剩余
{
//继续排下一行
dArea=dArea+Typeset(next_x,next_y,next_len,next_wid,&List1);
//记录排样序列
SetStatus(&List1,TRUE);
for(iter1=List1.begin();iter1!=List1.end();iter1++)
{
pList->insert(pList->end(),(*iter1));
}
List1.clear();
}
return dArea;
}
return 0;
}
void CMaterial::SetUsed(BOOL bUsed)
{
m_bUsed=bUsed;
}
void CTypeset::SetStatus(list<CMaterial*> *pList, BOOL bUsed)
{
list<CMaterial*>::iterator iter1,iter2;
for(iter1=m_MaterialList.begin();iter1!=m_MaterialList.end();iter1++)
{
for(iter2=pList->begin();iter2!=pList->end();iter2++)
{
if((*iter1)->m_iIndex==(*iter2)->m_iIndex)
{
(*iter1)->m_bUsed=bUsed;
}
}
}
}
CMaterial* CMaterial::Copy()
{
CMaterial* p=new CMaterial(this);
return p;
}
// TypeSet.h: interface for the CTypeset class.
//
//////////////////////////////////////////////////////////////////////
#if !defined(AFX_TYPESET_H__46213FAE_D2D6_42A6_B801_41D9109CD0FB__INCLUDED_)
#define AFX_TYPESET_H__46213FAE_D2D6_42A6_B801_41D9109CD0FB__INCLUDED_
#if _MSC_VER > 1000
#pragma once
#endif // _MSC_VER > 1000
#pragma warning(disable:4786)
#pragma warning(disable:4251)
#include <list>
#include <string>
using namespace std;
#ifdef TYPESETLIB_EXPORTS
#define TYPESETLIB_API __declspec(dllexport)
#else
#define TYPESETLIB_API __declspec(dllimport)
#endif
TYPESETLIB_API void TestTypeset(HDC dc);
class TYPESETLIB_API CMaterial
{
public:
virtual CMaterial* Copy();
virtual void SetUsed(BOOL bUsed);
virtual void Rotated();
virtual void SetSize(double dWidth,double dHeight);
virtual double GetArea(){ return m_dHeight*m_dWidth; }
CMaterial();
CMaterial(CMaterial *pMaterial);
CMaterial(double dWidth,double dHeight);
virtual ~CMaterial();
double m_dHeight,m_dWidth;
double m_dX,m_dY;
BOOL m_bUsed;
BOOL m_bSeletcted;
BOOL m_bRotated;
int m_iIndex;
};
class TYPESETLIB_API CTypeset
{
public:
virtual double Go();
virtual void Add(CMaterial *pMaterial);
CTypeset();
virtual ~CTypeset();
list<CMaterial*> m_MaterialList;
CMaterial m_Desktop;
protected:
virtual void SetStatus(list<CMaterial*> *pList, BOOL bUsed);
virtual double Typeset(double dStatrX,double dStatrY,double dStatrHei,double dStatrWid,
list<CMaterial*> *pList);
virtual void Sort();
virtual void Clear();
int m_iCurIndex;
};
#endif // !defined(AFX_TYPESET_H__46213FAE_D2D6_42A6_B801_41D9109CD0FB__INCLUDED_)
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计算机理论与工程 → 『 算法理论与分析 』 → 矩形体排样问题
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2006/8/26 10:13:00
顶端 
矩形体排样问题(11502字) － 卷积内核，2006年8月26日
全是代码 看晕了 ~~(23字) － liuyuanyang，2009年2月2日
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