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Scilabヘルプ >> Elementary Functions > setoperations > unique

unique

ベクトルまたは行列のユニークなな要素を展開

呼び出し手順

[N, km, kn, nb] = unique(M)
[N, km, kn, nb] = unique(M, orient)
[N, km, kn, nb] = unique(.., "keepOrder")
[N, km, kn, nb] = unique(.., "uniqueNan")

引数

M

数値または文字列のベクトルまたは行列

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.

N

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

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

k

Vector of indices of first encountered occurences, such that N(i) = M(k(i)) or N(i,:) = M(k(i),:) or N(:,i) = M(:,k(i)).

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

kn
Not yet implemented. Vector of indices of first encountered occurrences, such that M(i) = N(kn(i)) or M(i,:) = N(kn(i),:) or M(:,i) = N(:,kn(i)).

nb

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

説明

unique(M)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)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.

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  -i    i   -i    1. + i

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

 k  =
   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")  // Keeping the original order of row#1 elements
[uc, ktc, kuc, nb] = unique(t, "c")
[uc, ktc, kuc, nb] = unique(t, "c", "keepOrder")  // Keeping the original order of columns
--> 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.

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 — sorting by quick sort algorithm
  • 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 — returns the unduplicated elements or rows or columns met in both input arrays

履歴

VersionDescription
6.0.2 unique() can now be used to unduplicate complex numbers.
6.1.0
  • "keepOrder" and "uniqueNan" options introduced.
  • Fourth output argument nb introduced.
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Last updated:
Tue Feb 25 08:53:19 CET 2020