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# members

count (and locate) in an array each element or row or column of another array

### Calling Sequence

[nb [,loc]] = members(N, H) [nb [,loc]] = members(N, H, "last") [nb [,loc]] = members(N, H, "rows"|"cols") [nb [,loc]] = members(N, H, "rows"|"cols", "last") [nb [,loc]] = members(N, H, "rows"|"cols", "shuffle") [nb [,loc]] = members(N, H, "rows"|"cols", "shuffle", "last")

### Arguments

- N
Needles: matrix or hypermatrix of booleans, integer-encoded numbers, real or complex decimal numbers, polynomials or texts. In "rows" or "cols" mode, no hypermatrix is accepted. A given value (or row or column) may appear several times in

`N`

.- H
Haystack: matrix or hypermatrix of same data type as

`N`

. In "rows" or "cols" mode, no hypermatrix is accepted, and`N`

and`H`

must have respectively the same number of columns or rows.- Options:
From one to three options may be specified in any order:

- "last"
when the location in

`H`

of needles from`N`

is querried through`loc`

, by default the position of the first respective occurrences in`H`

are returned. If`"last"`

is specified, the position of the last occurrences in`H`

are returned instead.- "rows", "cols"
By default, each element

`N(i, j, ...)`

of`N`

is considered as a needle to search in`H`

. If`"rows"`

is specified, each row of`N`

is considered as a needle -- as a whole --, and is searched among rows of`H`

. The same applies between columns of`N`

and`H`

if`"cols"`

is used.- "shuffle"
In

`"rows"`

or`"cols"`

mode, by default the order of components of a row/column is considered: for instance,`[ 7 3 5 ]`

in`N`

does not match`[3 5 7]`

in`H`

. When`"shuffle"`

is specified, any permutation of --say--`[3 5 7]`

will be considered as matching a`[3 5 7]`

row of`N`

. This option is ignored for polynomials.

- nb
In normal mode:

`nb(i, j, ...)`

returns (as reals) the number of occurrences in`H`

of`N(i, j, ...)`

.`nb`

and`N`

have the same format. If`H`

is empty, a matrix of zeros is returned. If`N`

is empty, the empty matrix`[]`

is returned.In

`"rows"`

or`"cols"`

mode:`nb`

is a row of reals with as many components as`N`

has rows/columns.`nb(i)`

returns the number of occurrences in`H(., :)`

of`N(i, :)`

(or of`N(:, i)`

in`H(:, .)`

).- loc
In normal mode:

`loc`

and`N`

have the same format.`loc(i, j, ...)`

returns the smallest linearized index in`H`

where`N(i, j, ...)`

occurs. If the`"last"`

flag is used, the greatest linearized index is returned instead. If`N(i, j, ...)`

in not found in`H`

,`loc(i, j, ...)`

is set to`0`

.In

`"rows"`

or`"cols"`

mode:`loc`

is a row of reals with as many components as`N`

has respectively rows or columns.`loc(i)`

returns the index of the first line`H(loc(i), :)`

matching`N(i, :)`

(or the index of the first column`H(:, loc(i))`

matching`N(:, i)`

). If the`"shuffle"`

flag is additionaly specified, the order of components along the rows/columns is not considered.

### Description

`nb = members(N, H [,"rows"|"cols"])`

returns the number of occurrences of each component or row or column of `N`

found in `H`

. If no match is found for an element, 0 is returned for it.
The index in `H`

of the first (default) or `"last"`

occurrence of `N(i,j,...)`

can be querried through a second optional output `loc`

.
If matching `"rows"`

or `"cols"`

are searched for, matches can ignore the order of their elements, by using the option `"shuffle"`

.

`%inf`

and `-%inf`

values are supported in `N`

as well as in `H`

.
In normal mode, `%nan`

are supported in `N`

but not in `H`

. In `"rows"`

or `"cols"`

modes, `%nan`

are supported everywhere.

In normal element-wise mode, members(..) uses dsearch(..) to fastly proceed with booleans, integer-encoded numbers (any length 8-16-32 bits signed or not), and real numbers. For complex numbers, texts, and polynomials, a slower and more memory-consuming algorithm is used. For better performances with these types of data, for big `N`

or/and `H`

, the user may priorly increase the stacksize(..). For long calculations, a progression bar is displayed.

### Examples

N = [1 8 4 5 2 1]; H = [9 7 4 2 1 4]; [nb, loc] = members(N, H, "last") // Returns nb = [1 0 2 0 1 1]: for instance, 4 appears twice in H. // And loc = [5 0 6 0 4 5]: the last occurrence of 4 is in sixth position in H [nb, loc] = members(N, H) // Returns loc = [5 0 3 0 4 5]: the 1st occurrence of 4 is in third position in H // With hypermatrices. From previous N and H: N = matrix(N, [3 1 2]); H = matrix(H, [3 1 2]); [nb, loc] = members(N, H, "last") // With integers: N = int8(grand(3, 2, "uin", -5, 5)); H = int8(grand(4, 4, "uin", -5, 5)); [nb, loc] = members(N, H) // With polynomials (complex coefficients are accepted): z = %z; N = [z (1-z)^2 ; -4 %i*z ]; H = [2 %i*z -z 3-z z z^3 z]; [nb, loc] = members(N, H) // With text: N = [ "Hi" "Hu" "Allo"]; H = [ "Hello" "Bonjour" "Allo" "Holà" "Allo" "Hallo" "Hi" "Hé" "Salud" ]; [nb, loc] = members(N, H, "last") // By rows: H = [ 3 3 0 4 1 0 2 0 3 0 1 4 3 4 3 0 4 1 3 1 0 ]; N = [ 1 2 3 0 1 4 3 0 3 4 1 0 2 0 2 ]; N, H [nb, loc] = members(N, H, "rows") [nb, loc] = members(N, H, "rows","last") [nb, loc] = members(N, H, "rows","shuffle") // [4 1 0], [0 1 4] and [0 4 1] are considered the same // By columns: From N and H defined above: N = N.', H = H.' [nb, loc] = members(N, H, "cols", "shuffle")

### See Also

- dsearch — distribute, locate and count elements of a matrix or hypermatrix in given categories
- intersect — returns the vector of common values of two vectors
- find — find indices of boolean vector or matrix true elements
- vectorfind — finds in a matrix rows or columns matching a vector

### History

Version | Description |

5.5.0 | members() function introduced. |

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