标签：11 10 begin end 转置 13 变幻 pmatrix 对角线
旋转
顺时针旋转90°（逆时针旋转270°）
点击查看代码
void rotate_90(){ //所有矩阵适用
swap(n,m); //注意行列已互换
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= m; j ++ ){
b[i][j] = a[m+1-j][i]; //注意m与j匹配
}
}
for(int i = 1; i <= n; i ++ ){ //粘贴到原矩阵
for(int j = 1; j <= m; j ++ ){
a[i][j] = b[i][j];
}
}
}
\[\begin{pmatrix}
1 &2 &3 \\
4 &5 &6 \\
7 &8 &9 \\
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
7 &4 &1 \\
8 &5 &2 \\
9 &6 &3 \\
\end{pmatrix}
\]
\[\begin{pmatrix}
1 &2 &3 &4 &5 \\
6 &7 &8 &9 &10 \\
11 &12 &13 &14 &15
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
11 &6 &1 \\
12 &7 &2 \\
13 &8 &3 \\
14 &9 &4 \\
15 &10 &5
\end{pmatrix}
\]
旋转180°（顺逆一致）
点击查看代码
void rotate_180(){
for(int i = 1; i <= n; i ++ ){ //行列不互换
for(int j = 1; j <= m; j ++ ){
b[i][j] = a[n+1-i][m+1-j]; //注意n与i匹配,m与j匹配
}
}
for(int i = 1; i <= n; i ++ ){ //粘贴到原矩阵
for(int j = 1; j <= m; j ++ ){
a[i][j] = b[i][j];
}
}
}
\[\begin{pmatrix}
1 &2 &3 \\
4 &5 &6 \\
7 &8 &9 \\
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
9 &8 &7 \\
6 &5 &4 \\
3 &2 &1 \\
\end{pmatrix}
\]
\[\begin{pmatrix}
1 &2 &3 &4 &5 \\
6 &7 &8 &9 &10 \\
11 &12 &13 &14 &15
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
15 &14 &13 &12 &11 \\
10 &9 &8 &7 &6 \\
5 &4 &3 &2 &1
\end{pmatrix}
\]
顺时针旋转270°（逆时针旋转90°）
点击查看代码
void rotate_270(){
swap(n,m); //注意行列已互换
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= m; j ++ ){
b[i][j] = a[j][n+1-i]; //n-i
}
}
for(int i = 1; i <= n; i ++ ){ //粘贴到原矩阵
for(int j = 1; j <= m; j ++ ){
a[i][j] = b[i][j];
}
}
}
\[\begin{pmatrix}
1 &2 &3 \\
4 &5 &6 \\
7 &8 &9 \\
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
3 &6 &9 \\
2 &5 &8 \\
1 &4 &7 \\
\end{pmatrix}
\]
\[\begin{pmatrix}
1 &2 &3 &4 &5 \\
6 &7 &8 &9 &10 \\
11 &12 &13 &14 &15
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
5 &10 &15 \\
4 &9 &14 \\
3 &8 &13 \\
2 &7 &12 \\
1 &6 &11
\end{pmatrix}
\]
转置
点击查看代码
void transpose(){
swap(n,m); //行列互换
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= m; j ++ ){
b[i][j] = a[j][i];
}
}
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= m; j ++ ){
a[i][j] = b[i][j];
}
}
}
\[\begin{pmatrix}
1 &2 &3 \\
4 &5 &6 \\
7 &8 &9 \\
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
1 &4 &7 \\
2 &5 &8 \\
3 &6 &9 \\
\end{pmatrix}
\]
\[\begin{pmatrix}
1 &2 &3 &4 &5 \\
6 &7 &8 &9 &10 \\
11 &12 &13 &14 &15
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
1 &6 &11 \\
2 &7 &12 \\
3 &8 &13 \\
4 &9 &14 \\
5 &10 &16
\end{pmatrix}
\]
翻转
上下翻转
点击查看代码
void flip_up_down(){
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= m; j ++ ){
b[i][j] = a[n+1-i][j];
}
}
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= m; j ++ ){
a[i][j] = b[i][j];
}
}
}
\[\begin{pmatrix}
1 &2 &3 \\
4 &5 &6 \\
7 &8 &9 \\
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
7 &8 &9 \\
4 &5 &6 \\
1 &2 &3 \\
\end{pmatrix}
\]
\[\begin{pmatrix}
1 &2 &3 &4 &5 \\
6 &7 &8 &9 &10 \\
11 &12 &13 &14 &15
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
11 &12 &13 &14 &15 \\
6 &7 &8 &9 &10 \\
1 &2 &3 &4 &5
\end{pmatrix}
\]
左右翻转
点击查看代码
void flip_left_right(){
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= m; j ++ ){
b[i][j] = a[i][m+1-j];
}
}
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= m; j ++ ){
a[i][j] = b[i][j];
}
}
}
\[\begin{pmatrix}
1 &2 &3 \\
4 &5 &6 \\
7 &8 &9 \\
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
3 &2 &1 \\
6 &5 &4 \\
9 &8 &7 \\
\end{pmatrix}
\]
\[\begin{pmatrix}
1 &2 &3 &4 &5 \\
6 &7 &8 &9 &10 \\
11 &12 &13 &14 &15
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
5 &4 &3 &2 &1 \\
10 &9 &8 &7 &6 \\
15 &14 &13 &12 &11
\end{pmatrix}
\]
对角线翻转【相当于方阵的转置】
注意：只有方阵才有对角线
点击查看代码
void flip_diagonal(){
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= n; j ++ ){
b[i][j] = a[j][i];
}
}
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= n; j ++ ){
a[i][j] = b[i][j];
}
}
}
\[\begin{pmatrix}
1 &2 &3 \\
4 &5 &6 \\
7 &8 &9 \\
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
1 &4 &7 \\
2 &5 &8 \\
3 &6 &9 \\
\end{pmatrix}
\]
反对角线翻转
点击查看代码
void flip_opp_diagonal(){
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= n; j ++ ){
b[i][j] = a[n+1-j][n+1-i];
}
}
for(int i = 1; i <= n; i ++ ){
for(int j = 1; j <= n; j ++ ){
a[i][j] = b[i][j];
}
}
}
\[\begin{pmatrix}
1 &2 &3 \\
4 &5 &6 \\
7 &8 &9 \\
\end{pmatrix}
\ \ -> \
\begin{pmatrix}
9 &6 &3 \\
8 &5 &2 \\
7 &4 &1 \\
\end{pmatrix}
\]
标签：11,
10,
begin,
end,
转置,
13,
变幻,
pmatrix,
对角线
From： https://www.cnblogs.com/J-12045/p/17180112.html