hide long namesshow long names
hide short namesshow short names
Integer type:  int32  int64  nag_int  show int32  show int32  show int64  show int64  show nag_int  show nag_int

PDF version (NAG web site, 64-bit version, 64-bit version)
Chapter Contents
Chapter Introduction
NAG Toolbox

NAG Toolbox: nag_file_print_matrix_complex_gen_comp (x04db)

Purpose

nag_file_print_matrix_complex_gen_comp (x04db) prints a complex matrix stored in a two-dimensional array.

Syntax

[ifail] = x04db(matrix, diag, a, usefrm, form, title, labrow, labcol, ncols, indent, 'm', m, 'n', n, 'rlabs', rlabs, 'clabs', clabs)
[ifail] = nag_file_print_matrix_complex_gen_comp(matrix, diag, a, usefrm, form, title, labrow, labcol, ncols, indent, 'm', m, 'n', n, 'rlabs', rlabs, 'clabs', clabs)

Description

nag_file_print_matrix_complex_gen_comp (x04db) prints a complex matrix, or part of it, using a format specifier supplied by you. The matrix is output to the unit defined by nag_file_set_unit_advisory (x04ab).

References

None.

Parameters

Compulsory Input Parameters

1:     matrix – string (length ≥ 1)
Indicates the part of the matrix to be printed.
matrix = 'G'matrix='G'
The whole of the rectangular matrix.
matrix = 'L'matrix='L'
The lower triangle of the matrix, or the lower trapezium if the matrix has more rows than columns.
matrix = 'U'matrix='U'
The upper triangle of the matrix, or the upper trapezium if the matrix has more columns than rows.
Constraint: matrix = 'G'matrix='G', 'L''L' or 'U''U'.
2:     diag – string (length ≥ 1)
Unless matrix = 'G'matrix='G', diag must specify whether the diagonal elements of the matrix are to be printed.
diag = 'B'diag='B'
The diagonal elements of the matrix are not referenced and not printed.
diag = 'U'diag='U'
The diagonal elements of the matrix are not referenced, but are assumed all to be unity, and are printed as such.
diag = 'N'diag='N'
The diagonal elements of the matrix are referenced and printed.
If matrix = 'G'matrix='G', then diag need not be set.
Constraint: if matrix'G'matrix'G', diag = 'B'diag='B', 'U''U' or 'N''N'.
3:     a(lda, : :) – complex array
The first dimension of the array a must be at least max (1,m)max(1,m)
The second dimension of the array must be at least max (1,n)max(1,n)
The matrix to be printed. Only the elements that will be referred to, as specified by parameters matrix and diag, need be set.
4:     usefrm – string (length ≥ 1)
Indicates how the value of form is to be used to print matrix elements, except in MATLAB mode where usefrm is ignored.
usefrm = 'A'usefrm='A'
The format code in form is assumed to contain a single real edit-descriptor which is to be used to print the real and imaginary parts of each complex number one above the other. Each row of the matrix is separated by a blank line, and any row labels are attached only to the real parts. This option means that about twice as many columns can be fitted into ncols characters than if any other usefrm option is used. A typical value of form for this usefrm option might be 'E13.4''E13.4', '*''*' or ' '' '.
usefrm = 'B'usefrm='B'
The format code in form is assumed to contain a single edit-descriptor such as 'E13.4''E13.4', '*''*' or ' '' ' which is used to print the real and imaginary parts of each complex number separated by a comma, and surrounded by brackets. Thus a matrix element printed with this usefrm option might look like this: (12.345,11.323)(12.345,-11.323).
usefrm = 'D'usefrm='D'
The format code in form is used unaltered to print a complex number. This usefrm option allows you flexibility to specify exactly how the number is printed. With this option for usefrm and a suitable value for form it is possible, for example, to print a complex number in the form (0.123 + 3.214i)(0.123+3.214i) or (0.123e−02,0.234e−01)(0.123e−02,0.234e−01). See Section [Example] for an example illustrating this option.
Constraint: usefrm = 'A'usefrm='A', 'B''B' or 'D''D'.
5:     form – string
Describes the Fortran format code that is used in conjunction with usefrm for printing the elements of the matrix a. The format code may be any allowed on the system, whether it is standard Fortran or not. It may or may not be enclosed in brackets.
In addition, there are the following special codes which force nag_file_print_matrix_complex_gen_comp (x04db) to choose its own format code:
form = ' 'form=' '
nag_file_print_matrix_complex_gen_comp (x04db) will choose a format code such that numbers will be printed with an F8.4, an F11.4 or a 1PE13.4 format. The F8.4 code is chosen if the sizes of the real and imaginary parts of all the matrix elements to be printed lie between 0.0010.001 and 1.01.0. The F11.4 code is chosen if the sizes of all the numbers to be printed lie between 0.0010.001 and 9999.99999999.9999. Otherwise the 1PE13.4 code is chosen.
form = '*'form='*'
nag_file_print_matrix_complex_gen_comp (x04db) will choose a format code such that numbers will be printed to as many significant digits as are necessary to distinguish between neighbouring machine numbers. Thus any two numbers that are stored with different internal representations should look different on output. Whether they do in fact look different will depend on the run-time library of the Fortran compiler in use.
By preceding the desired format code by the string ‘MATLAB’, nag_file_print_matrix_complex_gen_comp (x04db) will print the matrix such that it can be input into MATLAB, and title will be used as the name of the matrix.
More complicated values of form, to print a complex number in a desired form, may be used. See the description of parameter usefrm for more details.
Examples of valid values for form are '(F11.4)''(F11.4)', '1P,2E13.5''1P,2E13.5', 'MATLABF11.4''MATLABF11.4', 'MATLAB*''MATLAB*'.
Constraint: the character length of the format specifier in form must be 8080.
6:     title – string
A title to be printed above the matrix, or name of the matrix.
If title = ' 'title=' ', no title (and no blank line) will be printed.
If title contains more than ncols characters, the contents of title will be wrapped onto more than one line, with the break after ncols characters.
Any trailing blank characters in title are ignored.
If printing in MATLAB mode, title will be used as the name of the matrix.
7:     labrow – string (length ≥ 1)
Indicates the type of labelling to be applied to the rows of the matrix, except in MATLAB mode where labrow is ignored.
labrow = 'N'labrow='N'
Prints no row labels.
labrow = 'I'labrow='I'
Prints integer row labels.
labrow = 'C'labrow='C'
Prints character labels, which must be supplied in array rlabs.
Constraint: labrow = 'N'labrow='N', 'I''I' or 'C''C'.
8:     labcol – string (length ≥ 1)
Indicates the type of labelling to be applied to the columns of the matrix, except in MATLAB mode where labcol is ignored.
labcol = 'N'labcol='N'
Prints no column labels.
labcol = 'I'labcol='I'
Prints integer column labels.
labcol = 'C'labcol='C'
Prints character labels, which must be supplied in array clabs.
Constraint: labcol = 'N'labcol='N', 'I''I' or 'C''C'.
9:     ncols – int64int32nag_int scalar
The maximum output record length. If the number of columns of the matrix is too large to be accommodated in ncols characters, the matrix will be printed in parts, containing the largest possible number of matrix columns, and each part separated by a blank line.
ncols must be large enough to hold at least one column of the matrix using the format specifier in form. If a value less than 0 or greater than 132132 is supplied for ncols, then the value 8080 is used instead.
10:   indent – int64int32nag_int scalar
The number of columns by which the matrix (and any title and labels) should be indented. The effective value of ncols is reduced by indent columns. If a value less than 00 or greater than ncols is supplied for indent, the value 00 is used instead.

Optional Input Parameters

1:     m – int64int32nag_int scalar
2:     n – int64int32nag_int scalar
Default: The first dimension of the array a The second dimension of the array a.
The number of rows and columns of the matrix, respectively, to be printed.
If either m or n is less than 11, nag_file_print_matrix_complex_gen_comp (x04db) will exit immediately after printing title; no row or column labels are printed.
3:     rlabs( : :) – cell array of strings
Note: the dimension of the array rlabs must be at least mm if labrow = 'C'labrow='C', and at least 11 otherwise.
If labrow = 'C'labrow='C', rlabs must contain labels for the rows of the matrix, except in MATLAB mode where rlabs is ignored.
Labels are right-justified when output, in a field which is as wide as necessary to hold the longest row label. Note that this field width is subtracted from the number of usable columns, ncols.
4:     clabs( : :) – cell array of strings
Note: the dimension of the array clabs must be at least nn if labcol = 'C'labcol='C', and at least 11 otherwise.
If labcol = 'C'labcol='C', clabs must contain labels for the columns of the matrix, except in MATLAB mode where clabs is ignored.
Labels are right-justified when output. Any label that is too long for the column width, which is determined by form, is truncated.

Input Parameters Omitted from the MATLAB Interface

lda

Output Parameters

1:     ifail – int64int32nag_int scalar
ifail = 0ifail=0 unless the function detects an error (see [Error Indicators and Warnings]).

Error Indicators and Warnings

Errors or warnings detected by the function:
  ifail = 1ifail=1
On entry,matrix'G'matrix'G', 'L''L' or 'U''U'.
  ifail = 2ifail=2
On entry,matrix = 'L'matrix='L' or 'U''U', but diag'N'diag'N', 'U''U' or 'B''B'.
  ifail = 3ifail=3
On entry,lda < mlda<m.
  ifail = 4ifail=4
On entry,usefrm'A'usefrm'A', 'B''B' or 'D''D'.
  ifail = 5ifail=5
On entry,the format specifier in form is more than 8080 characters long.
  ifail = 6ifail=6
The format specifier in form cannot be used to output a number. The specifier probably has too wide a field width or contains an illegal edit descriptor.
  ifail = 7ifail=7
On entry,either labrow or labcol'N'labcol'N', 'I''I' or 'C''C'.
  ifail = 8ifail=8
The quantity ncolsindentlabwidncols-indent-labwid (where labwidlabwid is the width needed for the row labels) is not large enough to hold at least one column of the matrix.

Accuracy

Not applicable.

Example

function nag_file_print_matrix_complex_gen_comp_example
matrix = 'General';
diag = ' ';
a = [ 11 - 11i,  12 - 12i,  13 - 13i,  14 - 14i;
      21 - 21i,  22 - 22i,  23 - 23i,  24 - 24i;
      31 - 31i,  32 - 32i,  33 - 33i,  34 - 34i];
usefrm = 'Bracketed';
format = ' ';
title = 'Example 1:';
labrow = 'Integer';
labcol = 'Integer';
ncols = int64(80);
indent = int64(0);
[ifail] = ...
    nag_file_print_matrix_complex_gen_comp(matrix, diag, a, usefrm, format, title, labrow, labcol, ncols, indent)
 
 Example 1:
                            1                         2
 1  (    11.0000,   -11.0000) (    12.0000,   -12.0000)
 2  (    21.0000,   -21.0000) (    22.0000,   -22.0000)
 3  (    31.0000,   -31.0000) (    32.0000,   -32.0000)

                            3                         4
 1  (    13.0000,   -13.0000) (    14.0000,   -14.0000)
 2  (    23.0000,   -23.0000) (    24.0000,   -24.0000)
 3  (    33.0000,   -33.0000) (    34.0000,   -34.0000)

ifail =

                    0


function x04db_example
matrix = 'General';
diag = ' ';
a = [ 11 - 11i,  12 - 12i,  13 - 13i,  14 - 14i;
      21 - 21i,  22 - 22i,  23 - 23i,  24 - 24i;
      31 - 31i,  32 - 32i,  33 - 33i,  34 - 34i];
usefrm = 'Bracketed';
format = ' ';
title = 'Example 1:';
labrow = 'Integer';
labcol = 'Integer';
ncols = int64(80);
indent = int64(0);
[ifail] = x04db(matrix, diag, a, usefrm, format, title, labrow, labcol, ncols, indent)
 
 Example 1:
                            1                         2
 1  (    11.0000,   -11.0000) (    12.0000,   -12.0000)
 2  (    21.0000,   -21.0000) (    22.0000,   -22.0000)
 3  (    31.0000,   -31.0000) (    32.0000,   -32.0000)

                            3                         4
 1  (    13.0000,   -13.0000) (    14.0000,   -14.0000)
 2  (    23.0000,   -23.0000) (    24.0000,   -24.0000)
 3  (    33.0000,   -33.0000) (    34.0000,   -34.0000)

ifail =

                    0



PDF version (NAG web site, 64-bit version, 64-bit version)
Chapter Contents
Chapter Introduction
NAG Toolbox

© The Numerical Algorithms Group Ltd, Oxford, UK. 2009–2013