#include<iostream>
#include <iomanip>
#include"windows.h"
using namespace std;
struct Tripple
{
int x,y,value;
};
struct RLSMatrix
{
int r,c,cnt;
Tripple* tripples;
int* rpos;
};
RLSMatrix* createRLSMatrix(int r,int c,int maxCnt)
{
RLSMatrix* p = (RLSMatrix*)malloc(sizeof(RLSMatrix));
p->r=r;
p->c=c;
p->cnt=0;
p->tripples=new Tripple[maxCnt];
p->rpos=new int[p->r+1];
for(int i=1;i<=p->r;i++)
p->rpos[i]=-1;
p->rpos[0]=0;
return p;
}
RLSMatrix* transpose(RLSMatrix* src)
{
RLSMatrix* ans =createRLSMatrix(src->c,src->r,src->cnt);
int* ccnts = new int[src->c+1];
int* cpos = new int[src->c+1];
int lst=0;
cpos[0]=0;
for(int i=0;i<=src->c;i++)
ccnts[i]=0;
for(int i=0;i<src->cnt;i++)
ccnts[src->tripples[i].y]++;
for(int i=1;i<=src->c;i++)
{
if(ccnts[i]!=0)
{
ans->rpos[i]=ans->rpos[lst]+ccnts[lst];
cpos[i] = ans->rpos[i];
lst=i;
}
}
delete[] ccnts;
Tripple newTripple;
for(int i=0;i<src->cnt;i++)
{
newTripple.x=src->tripples[i].y;
newTripple.y=src->tripples[i].x;
newTripple.value=src->tripples[i].value;
ans->tripples[cpos[newTripple.x]++]=newTripple;
ans->cnt++;
}
return ans;
}
RLSMatrix* multiple(RLSMatrix* op1,RLSMatrix* op2)
{
if(op1->c!=op2->r)
return NULL;
RLSMatrix* ans = createRLSMatrix(op1->r,op2->c,op1->cnt+op2->cnt);
for(int i=1;i<=op1->r;i++)
{
if(op1->rpos[i]==-1)
continue;
int* tempSum= new int[op2->c+1];
for(int k=0;k<=op2->c;k++)
tempSum[k]=0;
int st=op1->rpos[i];
int nexti=i+1;
while(nexti<=op1->r && op1->rpos[nexti]==-1)
nexti++;
int ed= nexti<=op1->r ? op1->rpos[nexti]:(op1->cnt);
for(int k=st;k<ed;k++)
{
int cindex=op1->tripples[k].y;
if(op2->rpos[cindex]==-1)
continue;
int _st=op2->rpos[cindex];
int nextk= cindex+1;
while(nextk<=op2->r && op2->rpos[nextk]==-1)
nextk++;
int _ed=nextk<=op2->r ? op2->rpos[nextk]:(op2->cnt);
for(int j=_st;j<_ed;j++)
{
tempSum[op2->tripples[j].y]+=(op2->tripples[j].value*op1->tripples[k].value);
}
}
bool firstC=1;
for(int k=1;k<=ans->c;k++)
{
if(tempSum[k]!=0)
{
Tripple newTripple;
newTripple.x = i;
newTripple.y = k;
newTripple.value=tempSum[k];
ans->tripples[ans->cnt] = newTripple;
if(firstC)
ans->rpos[i]=ans->cnt;
ans->cnt++;
firstC=0;
}
}
i=--nexti;
}
return ans;
}
void output(RLSMatrix* src)
{
int cur=0;
for(int i=1;i<=src->r;i++)
{
for(int j=1;j<=src->c;j++)
{
if(src->tripples[cur].x==i && src->tripples[cur].y==j)
{
SetConsoleTextAttribute(GetStdHandle(STD_OUTPUT_HANDLE),FOREGROUND_INTENSITY|FOREGROUND_GREEN);//彰显非0元
cout<<std::left<<setw(3)<<src->tripples[cur].value;
SetConsoleTextAttribute(GetStdHandle(STD_OUTPUT_HANDLE),FOREGROUND_INTENSITY|FOREGROUND_RED|FOREGROUND_GREEN|FOREGROUND_BLUE);//设置三色相加
cur++;
}
else cout<<std::left<<setw(3)<<0;
}
cout<<endl;
}
}
void main()
{
SetConsoleTextAttribute(GetStdHandle(STD_OUTPUT_HANDLE),FOREGROUND_INTENSITY|FOREGROUND_RED|FOREGROUND_GREEN|FOREGROUND_BLUE);//设置三色相加
int r=6,c=6,maxCnt=8;
RLSMatrix* m= createRLSMatrix(r,c,maxCnt);
int lstR=0;
for(int i=1;i<=r;i++)
{
for(int j=1;j<=c;j++)
{
if(rand()%3==1 && m->cnt<maxCnt)
{
m->tripples[m->cnt].x=i;
m->tripples[m->cnt].y=j;
m->tripples[m->cnt].value=rand()%10;
if(i!=lstR)
m->rpos[i]=m->cnt;
m->cnt++;
lstR=i;
}
}
}
output(m);
cout<<endl;
output(transpose(transpose(m)));
cout<<endl;
output(transpose(m));
cout<<endl;
r=6,c=6,maxCnt=12;
RLSMatrix* m2= createRLSMatrix(r,c,maxCnt);
lstR=0;
for(int i=1;i<=r;i++)
{
for(int j=1;j<=c;j++)
{
if(rand()%3==1 && m2->cnt<maxCnt)
{
m2->tripples[m2->cnt].x=i;
m2->tripples[m2->cnt].y=j;
m2->tripples[m2->cnt].value=rand()%10;
if(i!=lstR)
m2->rpos[i]=m2->cnt;
m2->cnt++;
lstR=i;
}
}
}
output(m2);
cout<<endl;
output(multiple(m,m2));
cout<<endl;
output(transpose(multiple(transpose(m2),transpose(m))));
cout<<endl;
cin>>r;
}