INFINITY -数学とかプログラミングとか-

統計とプログラムを使って役に立たせたい

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sanctuary's blogは,適当なことが書いてあります。

隣接行列

状態空間

状態空間グラフの隣接行列による表現。

今の場合は5×5のmatrixの場合だけど、
10×10とかの行列を手打ちするのは、ｸｿ ﾏﾝﾄﾞｸｾ('A`)ってなるので、描いてみた。(持ち前のｸｿみたいな忍耐力で手打ちしようと思ったが、ｸｿみたいな面倒臭さが勝ってやめた)

この行列は、対称であることに注意する。

//行列の生成

#include <stdio.h>


#define N 25




int main(){
	int mat[N][N];
	
	int i,j;
	//行列の初期化
	for(i=0;i<N;i++){
		for(j=0;j<N;j++){
			mat[i][j]=0;
			//printf("mat[%d][%d]:%d \n",i,j,mat[i][j]);
		}
	}




	int up,right;
	int pos;//現在のノード
	
	for(pos=0;pos<N;pos++){
		if(pos%5!=4){
			printf("%dは上と繋がっているか？繋がっているなら1，いないなら0 \n",pos);
	
			scanf("%d",&up);
		
			if(up==1){
				mat[pos][pos+1]=1;
				mat[pos+1][pos]=1;
			}
			printf("mat[%d][%d+1]:%d \n",pos,pos,mat[pos][pos+1]);
			
		}
		if(pos<20){
			printf("%dは右と繋がっているか？繋がっているなら1，いないなら0 \n",pos);
	
			scanf("%d",&right);
		
			if(right==1){
				mat[pos][pos+5]=1;
				mat[pos+5][pos]=1;
			}
		}
		if(pos%5==4){
			printf("\n");		
		}
	}




	//結果を表示
	for(i=0;i<N;i++){
		for(j=0;j<N;j++){
			printf("%d,",mat[i][j]);		
		}
		printf("\n");
	}








return(0);
}

@ubuntu:~/ai$ gcc matrix01.c -o matrix01
@ubuntu:~/ai$ ./matrix01
0は上と繋がっているか？繋がっているなら1，いないなら0
0
mat[0][0+1]:0
0は右と繋がっているか？繋がっているなら1，いないなら0
1
1は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[1][1+1]:1
1は右と繋がっているか？繋がっているなら1，いないなら0
1
2は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[2][2+1]:1
2は右と繋がっているか？繋がっているなら1，いないなら0
1
3は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[3][3+1]:1
3は右と繋がっているか？繋がっているなら1，いないなら0
0
4は右と繋がっているか？繋がっているなら1，いないなら0
1

5は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[5][5+1]:1
5は右と繋がっているか？繋がっているなら1，いないなら0
0
6は上と繋がっているか？繋がっているなら1，いないなら0
0
mat[6][6+1]:0
6は右と繋がっているか？繋がっているなら1，いないなら0
1
7は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[7][7+1]:1
7は右と繋がっているか？繋がっているなら1，いないなら0
1
8は上と繋がっているか？繋がっているなら1，いないなら0
0
mat[8][8+1]:0
8は右と繋がっているか？繋がっているなら1，いないなら0
0
9は右と繋がっているか？繋がっているなら1，いないなら0
0

10は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[10][10+1]:1
10は右と繋がっているか？繋がっているなら1，いないなら0
0
11は上と繋がっているか？繋がっているなら1，いないなら0
0
mat[11][11+1]:0
11は右と繋がっているか？繋がっているなら1，いないなら0
0
12は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[12][12+1]:1
12は右と繋がっているか？繋がっているなら1，いないなら0
1
13は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[13][13+1]:1
13は右と繋がっているか？繋がっているなら1，いないなら0
0
14は右と繋がっているか？繋がっているなら1，いないなら0
1

15は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[15][15+1]:1
15は右と繋がっているか？繋がっているなら1，いないなら0
1
16は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[16][16+1]:1
16は右と繋がっているか？繋がっているなら1，いないなら0
0
17は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[17][17+1]:1
17は右と繋がっているか？繋がっているなら1，いないなら0
1
18は上と繋がっているか？繋がっているなら1，いないなら0
0
mat[18][18+1]:0
18は右と繋がっているか？繋がっているなら1，いないなら0
1
19は右と繋がっているか？繋がっているなら1，いないなら0
0

20は上と繋がっているか？繋がっているなら1，いないなら0
0
mat[20][20+1]:0
21は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[21][21+1]:1
22は上と繋がっているか？繋がっているなら1，いないなら0
0
mat[22][22+1]:0
23は上と繋がっているか？繋がっているなら1，いないなら0
1
mat[23][23+1]:1

0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,

                                                                      • -

10×10の場合：


//状態空間の隣接行列の生成




#include <stdio.h>




#define N 100




int main(){
	int mat[N][N];
	
	int i,j;
	//行列の初期化
	for(i=0;i<N;i++){
		for(j=0;j<N;j++){
			mat[i][j]=0;
			//printf("mat[%d][%d]:%d \n",i,j,mat[i][j]);
		}
	}




	int up,right;
	int pos;//現在のノード
	
	for(pos=0;pos<N;pos++){
		if(pos%10!=9){//
			printf("%dは上と繋がっているか？繋がっているなら1，いないなら0 \n",pos);
	
			scanf("%d",&up);
		
			if(up==1){
				mat[pos][pos+1]=1;
				mat[pos+1][pos]=1;
			}
			printf("mat[%d][%d+1]:%d \n",pos,pos,mat[pos][pos+1]);
			
		}
		if(pos<N-10){
			printf("%dは右と繋がっているか？繋がっているなら1，いないなら0 \n",pos);
	
			scanf("%d",&right);
		
			if(right==1){
				mat[pos][pos+10]=1;
				mat[pos+10][pos]=1;
			}
			printf("mat[%d][%d+10]:%d \n",pos,pos,mat[pos][pos+10]);
		}
		if(pos%10==9){
			printf("\n");		
		}
	}




	//結果を表示
	for(i=0;i<N;i++){
		for(j=0;j<N;j++){
			printf("%d,",mat[i][j]);		
		}
		printf("\n");
	}








return(0);
}

やって見なくてもだいたい分かると思うが、

終わりぐらいまで来て、typoして、エラーが出たら「一巻の終わり」なので、ある程度まできたら、txtに出力するとかしたほうがよさそうだ。

                                                                      • -

0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,



さすがに、これを手打ちは勘弁。。



しかし、不安なので、逆に、行列を与えたときの状態空間グラフが見えたら良さげ。だが、めんどくさそう。