
matrix(n) Tcl Data Structures matrix(n)
NAME
matrix  Create and manipulate matrix objects
SYNOPSIS
package require Tcl 8.2
package require struct ?1.2.1?
matrixName option ?arg arg ...?
matrixName add column ?values?
matrixName add row ?values?
matrixName add columns n
matrixName add rows n
matrixName cells
matrixName cellsize column row
matrixName columns
matrixName columnwidth column
matrixName delete column column
matrixName delete row row
matrixName destroy
matrixName format 2string ?report?
matrixName format 2chan ??report? channel?
matrixName get cell column row
matrixName get column column
matrixName get rect column_tl row_tl column_br row_br
matrixName get row row
matrixName insert column column ?values?
matrixName insert row row ?values?
matrixName link ?transpose? arrayvar
matrixName rowheight row
matrixName rows
matrixName search ?nocase? ?exactglobregexp? all pattern
matrixName search ?nocase? ?exactglobregexp? column column pattern
matrixName search ?nocase? ?exactglobregexp? row row pattern
matrixName search ?nocase? ?exactglobregexp? rect column_tl row_tl column_br row_br
pattern
matrixName set cell column row value
matrixName set column column values
matrixName set rect column row values
matrixName set row row values
matrixName swap columns column_a column_b
matrixName swap rows row_a row_b
matrixName unlink arrayvar
DESCRIPTION
The ::struct::matrix command creates a new matrix object with an associated global Tcl
command whose name is matrixName. This command may be used to invoke various operations
on the matrix. It has the following general form:
matrixName option ?arg arg ...?
Option and the args determine the exact behavior of the command.
A matrix is a rectangular collection of cells, i.e. organized in rows and columns. Each
cell contains exactly one value of arbitrary form. The cells in the matrix are addressed
by pairs of integer numbers, with the first (left) number in the pair specifying the col
umn and the second (right) number specifying the row the cell is in. These indices are
counted from 0 upward. The special nonnumeric index end refers to the last row or column
in the matrix, depending on the context. Indices of the form endnumber are counted from
the end of the row or column, like they are for standard Tcl lists. Trying to access non
existing cells causes an error.
The matrices here are created empty, i.e. they have neither rows nor columns. The user
then has to add rows and columns as needed by his application. A specialty of this struc
ture is the ability to export an arrayview onto its contents. Such can be used by
tkTable, for example, to link the matrix into the display.
The following commands are possible for matrix objects:
matrixName add column ?values?
Extends the matrix by one column and then acts like setcolumn (see below) on this
new column if there were values supplied. Without values the new cells will be set
to the empty string. The new column is appended immediately behind the last exist
ing column.
matrixName add row ?values?
Extends the matrix by one row and then acts like setrow (see below) on this new row
if there were values supplied. Without values the new cells will be set to the
empty string. The new row is appended immediately behind the last existing row.
matrixName add columns n
Extends the matrix by n columns. The new cells will be set to the empty string. The
new columns are appended immediately behind the last existing column. A value of n
equal to or smaller than 0 is not allowed.
matrixName add rows n
Extends the matrix by n rows. The new cells will be set to the empty string. The
new rows are appended immediately behind the last existing row. A value of n equal
to or smaller than 0 is not allowed.
matrixName cells
Returns the number of cells currently managed by the matrix. This is the product of
rows and columns.
matrixName cellsize column row
Returns the length of the string representation of the value currently contained in
the addressed cell.
matrixName columns
Returns the number of columns currently managed by the matrix.
matrixName columnwidth column
Returns the length of the longest string representation of all the values currently
contained in the cells of the addressed column if these are all spanning only one
line. For cell values spanning multiple lines the length of their longest line goes
into the computation.
matrixName delete column column
Deletes the specified column from the matrix and shifts all columns with higher
indices one index down.
matrixName delete row row
Deletes the specified row from the matrix and shifts all row with higher indices
one index down.
matrixName destroy
Destroys the matrix, including its storage space and associated command.
matrixName format 2string ?report?
Formats the matrix using the specified report object and returns the string con
taining the result of this operation. The report has to support the printmatrix
method. If no report is specified the system will use an internal report definition
to format the matrix.
matrixName format 2chan ??report? channel?
Formats the matrix using the specified report object and writes the string contain
ing the result of this operation into the channel. The report has to support the
printmatrix2channel method. If no report is specified the system will use an
internal report definition to format the matrix. If no channel is specified the
system will use stdout.
matrixName get cell column row
Returns the value currently contained in the cell identified by row and column
index.
matrixName get column column
Returns a list containing the values from all cells in the column identified by the
index. The contents of the cell in row 0 are stored as the first element of this
list.
matrixName get rect column_tl row_tl column_br row_br
Returns a list of lists of cell values. The values stored in the result come from
the submatrix whose topleft and bottomright cells are specified by column_tl,
row_tl and column_br, row_br resp. Note that the following equations have to be
true: "column_tl <= column_br" and "row_tl <= row_br". The result is organized as
follows: The outer list is the list of rows, its elements are lists representing a
single row. The row with the smallest index is the first element of the outer list.
The elements of the row lists represent the selected cell values. The cell with the
smallest index is the first element in each row list.
matrixName get row row
Returns a list containing the values from all cells in the row identified by the
index. The contents of the cell in column 0 are stored as the first element of this
list.
matrixName insert column column ?values?
Extends the matrix by one column and then acts like setcolumn (see below) on this
new column if there were values supplied. Without values the new cells will be set
to the empty string. The new column is inserted just before the column specified by
the given index. This means, if column is less than or equal to zero, then the new
column is inserted at the beginning of the matrix, before the first column. If col
umn has the value end, or if it is greater than or equal to the number of columns
in the matrix, then the new column is appended to the matrix, behind the last col
umn. The old column at the chosen index and all columns with higher indices are
shifted one index upward.
matrixName insert row row ?values?
Extends the matrix by one row and then acts like setrow (see below) on this new row
if there were values supplied. Without values the new cells will be set to the
empty string. The new row is inserted just before the row specified by the given
index. This means, if row is less than or equal to zero, then the new row is
inserted at the beginning of the matrix, before the first row. If row has the value
end, or if it is greater than or equal to the number of rows in the matrix, then
the new row is appended to the matrix, behind the last row. The old row at that
index and all rows with higher indices are shifted one index upward.
matrixName link ?transpose? arrayvar
Links the matrix to the specified array variable. This means that the contents of
all cells in the matrix is stored in the array too, with all changes to the matrix
propagated there too. The contents of the cell (column,row) is stored in the array
using the key column,row. If the option transpose is specified the key row,column
will be used instead. It is possible to link the matrix to more than one array.
Note that the link is bidirectional, i.e. changes to the array are mirrored in the
matrix too.
matrixName rowheight row
Returns the height of the specified row in lines. This is the highest number of
lines spanned by a cell over all cells in the row.
matrixName rows
Returns the number of rows currently managed by the matrix.
matrixName search ?nocase? ?exactglobregexp? all pattern
Searches the whole matrix for cells matching the pattern and returns a list with
all matches. Each item in the aforementioned list is a list itself and contains the
column and row index of the matching cell, in this order. The results are ordered
by column first and row second, both times in ascending order. This means that
matches to the left and the top of the matrix come before matches to the right and
down.
The type of the pattern (string, glob, regular expression) is determined by the
option after the search keyword. If no option is given it defaults to exact.
If the option nocase is specified the search will be caseinsensitive.
matrixName search ?nocase? ?exactglobregexp? column column pattern
Like search all, but the search is restricted to the specified column.
matrixName search ?nocase? ?exactglobregexp? row row pattern
Like search all, but the search is restricted to the specified row.
matrixName search ?nocase? ?exactglobregexp? rect column_tl row_tl column_br row_br
pattern
Like search all, but the search is restricted to the specified rectangular area of
the matrix.
matrixName set cell column row value
Sets the value in the cell identified by row and column index to the data in the
third argument.
matrixName set column column values
Sets the values in the cells identified by the column index to the elements of the
list provided as the third argument. Each element of the list is assigned to one
cell, with the first element going into the cell in row 0 and then upward. If there
are less values in the list than there are rows the remaining rows are set to the
empty string. If there are more values in the list than there are rows the super
fluous elements are ignored. The matrix is not extended by this operation.
matrixName set rect column row values
Takes a list of lists of cell values and writes them into the submatrix whose top
left cell is specified by the two indices. If the sublists of the outerlist are not
of equal length the shorter sublists will be filled with empty strings to the
length of the longest sublist. If the submatrix specified by the topleft cell and
the number of rows and columns in the values extends beyond the matrix we are modi
fying the overextending parts of the values are ignored, i.e. essentially cut off.
This subcommand expects its input in the format as returned by getrect.
matrixName set row row values
Sets the values in the cells identified by the row index to the elements of the
list provided as the third argument. Each element of the list is assigned to one
cell, with the first element going into the cell in column 0 and then upward. If
there are less values in the list than there are columns the remaining columns are
set to the empty string. If there are more values in the list than there are col
umns the superfluous elements are ignored. The matrix is not extended by this oper
ation.
matrixName swap columns column_a column_b
Swaps the contents of the two specified columns.
matrixName swap rows row_a row_b
Swaps the contents of the two specified rows.
matrixName unlink arrayvar
Removes the link between the matrix and the specified arrayvariable, if there is
one.
EXAMPLES
The examples below assume a 5x5 matrix M with the first row containing the values 1 to 5,
with 1 in the topleft cell. Each other row contains the contents of the row above it,
rotated by one cell to the right.
% M getrect 0 0 4 4
{{1 2 3 4 5} {5 1 2 3 4} {4 5 1 2 3} {3 4 5 1 2} {2 3 4 5 1}}
% M setrect 1 1 {{0 0 0} {0 0 0} {0 0 0}}
% M getrect 0 0 4 4
{{1 2 3 4 5} {5 0 0 0 4} {4 0 0 0 3} {3 0 0 0 2} {2 3 4 5 1}}
Assuming that the style definitions in the example section of the manpage for the package
report are loaded into the interpreter now an example which formats a matrix into a tabu
lar report. The code filling the matrix with data is not shown. contains useful data.
% ::struct::matrix m
% # ... fill m with data, assume 5 columns
% ::report::report r 5 style captionedtable 1
% m format 2string r
++++++
000VERSIONS: 2:8.4a31:8.4a31:8.4a3%
++++++
001CATCH return ok 7 13 53.85 
002CATCH return error 68 91 74.73 
003CATCH no catch used7 14 50.00 
004IF if true numeric 12 33 36.36 
005IF elseif 15 47 31.91 
 true numeric    
++++++
%
% # alternate way of doing the above
% r printmatrix m
KEYWORDS
matrix
struct 1.2.1 matrix(n) 
