flipdim

引数

x, y

ベクトル、行列、または任意の通常のデータ型のハイパーマトリックスを含む。 yはxのサイズを取得します。

dim

positive integer : index of the dimension / direction of x along which the order of x components must be inverted.

blockSize

a positive integer, sub-multiple of size(x,dim): number of rows, of columns, of pages etc in each block. Default value = 1

説明

flipdim(x, 1) inverts the order of rows in the matrix or hypermatrix x.

flipdim(x, 2) inverts the order of columns of x.

flipdim(x, 3) inverts the order of pages in the hypermatrix x. Etc.

The optional parameter blockSize allows splitting x in size(x,1)/blockSize blocks of blockSize rows (dim=1), or in size(x,2)/blockSize blocks of blockSize columns (dim=2), etc (dim>2) and to invert their order. In each block, the order of components (rows, columns, pages etc) is unchanged.

例

// 例 1: x の要素を最初の次元に沿って反転
x = [1 2 3 4; 5 6 7 8];
y = flipdim(x, 1)

// 例2: x の要素を2番目の次元に沿って反転
y = flipdim(x, 2)

// 例3: x の要素を3番目の次元に沿って反転
x = matrix(1:48,[3 2,4,2]);
y = flipdim(x, 3)

// 例4: 最初の例を複素数に
x = [1+%i 2*%i 3 4; 5 6-%i 7 8*%pi*%i]
y = flipdim(x, 1)

// 整数エンコードされた数値
x = int16(grand(4, 3, 2, "uin", -9, 9))
y = flipdim(x, 1)

// 論理値:
x = (grand(3, 4, "uin", -9, 9) > 0)
y = flipdim(x, 2)

// テキスト:
x = matrix(strsplit("a":"x", 1:23), 4, 6);
x = x+x
flipdim(x, 2)

// 多項式:
x = inv_coeff(grand(3, 9, "uin", 0, 3), 2)
flipdim(x, 1)

// 有理数:
n = inv_coeff(grand(3, 9, "uin", 0, 3), 2);
d = inv_coeff(grand(3, 9, "uin", 0, 3), 2);
r = n./d
flipdim(r, 2)

blockSizeの使用例 :

X = [0 1 2 3 4 5 6 7 8 9 10 11];
flipdim(X, 2, 2) // => [10 11   8 9   6 7   4 5   2 3   0 1] // ブロックサイズ = 2.
flipdim(X, 2, 3) // => [9 10 11   6 7 8   3 4 5   0 1 2]
flipdim(X, 2, 4) // => [8 9 10 11   4 5 6 7   0 1 2 3]
flipdim(X, 2, 6) // => [6 7 8 9 10 11   0 1 2 3 4 5]
// blockSizeがxの指定した次元を分割しない場合はエラー.
y = flipdim(x, 2, 5); // size(X) = [1 12] および blockSize=5 は 12を割り切れない.

Example of results:

--> x
 x  =
 -5 -2  0  9
  0 -7 -6  9
 -1 -8 -7  8

--> flipdim(x, 1)
 ans  =
 -1 -8 -7  8
  0 -7 -6  9
 -5 -2  0  9

--> flipdim(x, 2)
 ans  =
  9  0 -2 -5
  9 -6 -7  0
  8 -7 -8 -1

--> x
 x  =
(:,:,1)
  9  4 -3
 -4 -8 -3

(:,:,2)
  5  8  9
  4  4  9

--> flipdim(x, 3)
 ans  =
(:,:,1)
  5  8  9
  4  4  9

(:,:,2)
  9  4 -3
 -4 -8 -3

--> x
 x  =
 -2  3 -5  9 -4 -8
  2  8  4 -9  6 -6
 -9  8  3  4 -3  4

--> flipdim(x, 2, 2)
 ans  =
 -4 -8 -5  9 -2  3
  6 -6  4 -9  2  8
 -3  4  3  4 -9  8

--> flipdim(x, 2, 3)
 ans  =
  9 -4 -8 -2  3 -5
 -9  6 -6  2  8  4
  4 -3  4 -9  8  3

参照

• fftshift — fft出力を再配置し,スペクトルの中心に周波数0を移動する
• ifftshift — fftshiftを反転する
• colon — (:) コロン演算子

履歴