unique

引数

M

vector, matrix, or hypermatrix of booleans, numbers, or strings. Numeric or boolean sparses are accepted.

orient

フラグで以下の値のどれかとなる : 1 または "r", 2 または "c". It can't be used if M is an hypermatrix.

U

• If orient is not used: Vector of extracted M components sorted in ascending order. If M is a row vector, U is also a row vector. In all other M cases, U is a column vector.

• If orient is used: Matrix of extracted M rows or columns, sorted in lexicographic ascending order.

If M is sparse, then U is always sparse.

km

Vector of indices of first encountered occurrences, such that U = M(km) or U = M(km,:) or U = M(:,km).

km is a row if M is a row or if orient="c" is used. Otherwise it's a column.

ku

Array of indices in U, such that, according to the orient option

• "*": ku is of size size(M), and U(ku) = M
• "r": ku is of size [size(M,1), 1], and U(ku,:) = M
• "c": ku is of size [1, size(M,2)], and U(:,ku) = M

ku is dense, even when M is sparse and the overall "*" mode is used.

nb

Vector of integers > 0, with the same km shape: Numbers of occurences in M of respective unduplicated entities (components, rows, columns) returned in U.

説明

unique(M) は Mのユニークなエントリを昇順に したものを保持するベクトルを返します.

unique(M,"r") または unique(M,1)は, Mのユニークな行を 辞書式の昇順にして返します.

unique(M,"c") または unique(M,2)は Mのユニークな列を 辞書式の昇順にして返します.

unique(M,.. "keepOrder") returns M unduplicated entries in their original order in M. "keepOrder" is case-insensitive.

unique(M,.. "uniqueNan") considers all Nan values as the same one, and unduplicates them. By default, any Nan is different from any other Nan, including itself: %nan<>%nan is true, unless "uniqueNan" is used. Specifying "uniqueNan" is case-insensitive.

For booleans, unique(…) is useful mainly with the "r" or "c" options.

Complex numbers are sorted first by increasing magnitudes, then by increasing phases on [-π,π].

例

With some numbers:

M = int8([2  0  2  2  1  1  1  2  1  1  0  1  1  0  1  1
          0  1  2  0  1  2  2  0  1  1  2  0  1  0  0  0
          ])
[u, km] = unique(M)
[uc, kmc] = unique(M, "c")

--> M
 M =
  2  0  2  2  1  1  1  2  1  1  0  1  1  0  1  1
  0  1  2  0  1  2  2  0  1  1  2  0  1  0  0  0

--> [u, km] = unique(M)
 u  =
  0
  1
  2

 km  =
   2.
   4.
   1.

--> [uc, kmc] = unique(M, "c")
 uc  =
  0  0  0  1  1  1  2  2
  0  1  2  0  1  2  0  2

 kmc  =
   14.   2.   11.   12.   5.   6.   1.   3.

With complex numbers:

i = %i;
c = [1+i, 1-i, -i, i, -i, 1+i]
[u, k] = unique(c)
[uc, kc] = unique(c, "c")

--> c = [1+i, 1-i, -i, i, -i, 1+i]
 c  =
   1. + i    1. - i    0. - i    0. + i    0. - i    1. + i

--> [u, k] = unique(c)
 u  =
   0. - i    0. + i    1. - i    1. + i
 k  =
   3.   4.   2.   1.

--> [uc, kc] = unique(c, "c")
 uc  =
   0. - i    0. + i    1. - i    1. + i
 kc  =
   3.   4.   2.   1.

With some texts:

t = ["BA" "BB" "AB" "BA" "AB" "BA" "AB" "AB" "BA" "AA" "AB" "BA" "BA" "BA" "AA"
     "AA" "AB" "AA" "AA" "BB" "BB" "BB" "BA" "AB" "AB" "BB" "BB" "AB" "AB" "AA"
    ]
u = unique(t)'
[u, kt, nb] = unique(t(1,:))
[u, kt] = unique(t(1,:), "keepOrder")      // In original order of row#1 elements
[uc, ktc, kuc, nb] = unique(t, "c")
[uc, ktc, kuc, nb] = unique(t, "c", "keepOrder")  // In original order of columns
[and(t(:,ktc)==uc), and(uc(:,kuc)==t) ]

--> t = ["BA" "BB" "AB" "BA" "AB" "BA" "AB" "AB" "BA" "AA" "AB" "BA" "BA" "BA" "AA"
  >      "AA" "AB" "AA" "AA" "BB" "BB" "BB" "BA" "AB" "AB" "BB" "BB" "AB" "AB" "AA"
  >     ]
 t  =
!BA  BB  AB  BA  AB  BA  AB  AB  BA  AA  AB  BA  BA  BA  AA  !
!AA  AB  AA  AA  BB  BB  BB  BA  AB  AB  BB  BB  AB  AB  AA  !

--> u = unique(t)'
 u  =
!AA  AB  BA  BB  !

--> [u, kt, ku, nb] = unique(t(1,:))
 u  =
!AA  AB  BA  BB  !

 kt  =
   10.   3.   1.   2.

 nb  =
   2.   5.   7.   1.

--> [u, kt] = unique(t(1,:), "keepOrder")  // Keeping the original order
 u  =
!BA  BB  AB  AA  !

 kt  =
   1.   2.   3.   10.

--> [uc, ktc, kuc, nb] = unique(t, "c")
 uc  =
!AA  AA  AB  AB  AB  BA  BA  BA  BB  !             Sorted columns
!AA  AB  AA  BA  BB  AA  AB  BB  AB  !

 ktc  =
   15.   10.   3.   8.   5.   1.   9.   6.   2.

 nb  =
   1.   1.   1.   1.   3.   2.   3.   2.   1.

--> [uc, kc, nb] = unique(t, "c", "keepOrder")  // Keeping the original order
 uc  =
!BA  BB  AB  AB  BA  AB  BA  AA  AA  !
!AA  AB  AA  BB  BB  BA  AB  AB  AA  !

 kc  =
   1.   2.   3.   5.   6.   8.   9.   10.   15.

 nb  =
   2.   1.   1.   3.   2.   1.   3.   1.   1.

--> [and(t(:,ktc)==uc), and(uc(:,kuc)==t) ]
 ans  =
  T  T

With Nan (and Inf) values. "uniqueNan" option:

M = [2  2  %nan  1     2  0     1  %nan  0    %nan
     1  0  1     %nan  0  %inf  0  1     %inf 1
    ];
[v, km, kv, n] = unique(M); v',n'
[v, km, kv, n] = unique(M, "uniqueNan"); v',n'
unique(M, "c")
[v, kmc, kvc, n] = unique(M, "c", "uniqueNan")

--> M
 M  =
   2.   2.   Nan   1.    2.   0.    1.   Nan   0.    Nan
   1.   0.   1.    Nan   0.   Inf   0.   1.    Inf   1.

--> [v, km, kv, n] = unique(M); v',n'
 ans  =
   0.   1.   2.   Inf   Nan   Nan   Nan   Nan

 ans  =
   5.   6.   3.   2.   1.   1.   1.   1.

--> [v, km, kv, n] = unique(M, "uniqueNan"); v',n'
 ans  =
   0.   1.   2.   Inf   Nan

 ans  =
   5.   6.   3.   2.   4.

--> unique(M, "c")
 ans  =
   0.    1.   1.    2.   2.   Nan   Nan   Nan
   Inf   0.   Nan   0.   1.   1.    1.    1.

--> [v, kmc, kvc, n] = unique(M, "c", "uniqueNan")
 v  =
   0.    1.   1.    2.   2.   Nan
   Inf   0.   Nan   0.   1.   1.

 kmc  =
   6.   7.   4.   2.   1.   3.

 n  =
   2.   1.   1.   2.   1.   3.

参照

• members — 配列の各要素または他の配列の行または列を数える(及び位置を調べる)
• gsort — sorts boolean, numerical and string arrays
• vectorfind — locates occurences of a (wildcarded) vector in a matrix or hypermatrix
• grep — 文字列のベクトルの中で指定した文字列に一致するかどうかを調べる
• union — ベクトルの和集合要素を展開
• intersect — elements or rows or columns met in both input arrays, without duplicates

履歴