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setdiff
returns elements or rows or columns of an array that do not belong to another one
Syntax
v = setdiff(a, b) v = setdiff(a, b, orien) [v, ka] = setdiff(..)
Arguments
- a, b
vectors, matrices or hypermatrices of real or complex numbers, or encoded integers, or strings. Both must have the same data types (and integer types).
If the option
orien="r"
is used,a
andb
must have the same number of columns. If theorien="c"
is used, they must have the same number of rows.- orien
- oriented processing:
"r"
: rows ofa
are searched amongb
ones."c"
: columns ofa
are searched amongb
ones.- no orien: elements of
a
are searched amongb
ones.
- v
- sorted vector of
a
's components that are not inb
. orien="r"
: matrix of rows ofa
that are not inb
, sorted in lexicographic order.orien="c"
: matrix of columns ofa
that are not inb
, sorted in lexicographic order.
- sorted vector of
- ka
vector of linear indices of selected
a
's components, rows, or columns, such thatv = a(ka)
, orv = a(ka,:)
(orien="r"
), orv = a(:,ka)
(orien="c"
)
Description
setdiff(a, b,..)
computes and returns the elements or rows or columns
of a
that are NOT in b
.
All duplicates (elements or rows or columns) are removed from a
and
from b
before processing.
If a
is an hypermatrix and the "r"
option is used,
a
is replaced with the matrix of all its rows over all its higher
dimensions, before processing.
Same thing if b
is an hypermatrix.
If the "c"
option is used, a
or/and
"b"
are replaced with the respective matrices of all their columns.
The format of results is presented in the following table, according to the shape of
a
and the orien
option. In all cases, if all
entities of a
are in b
,
[]
is returned for v
as for ka
:
orien → | none | "r" | "c" | |||
---|---|---|---|---|---|---|
a ↓ | v | ka | v | ka | v | ka |
row | row | row | row | scal | row | row |
column | col | col | col | col | col | scal |
matrix | col | col | mat | col | mat | row |
hypermatrix | col | col | mat | col | mat | row |
scalar | scal | scal | scal | scal | scal | scal |
v
and ka
become empty []
if a
is empty (whatever is b
), or if all
a
elements are in b
.
Examples
Example #1:
--> a = grand(1, 10,"uin", 0, 9) a = 2. 2. 4. 5. 4. 1. 9. 5. 8. 3. --> b = grand(2, 4, "uin", 0, 9) b = 5. 0. 9. 9. 5. 6. 0. 4. --> [d, k] = setdiff(a, b); --> d, k d = 1. 2. 3. 8. k = 6. 1. 10. 9.
Example #2: column-wise processing
--> a = grand(2, 7,"uin", 0, 3) a = 0. 1. 0. 2. 3. 0. 2. 2. 2. 2. 1. 0. 1. 2. --> b = grand(2, 10, "uin", 0, 3) b = 1. 1. 3. 1. 1. 1. 3. 0. 2. 0. 3. 3. 2. 2. 0. 0. 1. 0. 1. 0. --> [d, k] = setdiff(a, b, "c"); --> d, k d = 0. 0. 2. 3. 1. 2. 2. 0. k = 6. 1. 7. 5.
Example #3: with some text
v1 = tokens("ab ca ba bb ca cb ba aa cc bc ac aa")' v2 = tokens("cc ac ca bb ac bc ab")' [r, k] = setdiff(v1, v2); r, k
--> v1 = tokens("ab ca ba bb ca cb ba aa cc bc ac aa")' v1 = !ab ca ac bb ca cb ba aa cc bc ac aa ! --> v2 = tokens("cc ac ca bb ac bc ab")' v2 = !cc ac ca bb ac bc ab ! --> [r, k] = setdiff(v1, v2); --> r, k r = !aa ba cb ! k = 8. 3. 6.
See also
- unique — remover todos os componentes duplicados de um vetor ou uma matriz
- union — extrai componentes da união de um vetor
- members — count (and locate) in an array each element or row or column of another array
- vectorfind — locates occurences of a (wildcarded) vector in a matrix or hypermatrix
History
Version | Description |
< 5.0 | Function introduced. |
6.0.2 | Option "r" | "c" added, including for hypermatrices. |
6.1.0 | Complex numbers are now accepted. |
Report an issue | ||
<< perms | Set operations | union >> |