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Full Discussion: diagonal matrix to square matrix
Top Forums Shell Programming and Scripting diagonal matrix to square matrix Post 302351613 by rwu on Wednesday 9th of September 2009 05:47:38 AM
Old 09-09-2009
Something like this would probably be better done with perl, as you can put the whole matrix in memory.

If you still want to use a shell script, here is one. By the way, I think you meant a symmetric matrix, and not a diagonal matrix.

#!/bin/bash

PATH=/usr/bin:/bin
export PATH

# length of each number in the matrix
rlen=5

# Right-justify the matrix
awk '{ if (ne == "") { ne = NF; } indent = (NR - 1) * (rlen + 1); printf("%" indent "s", ""); print }' rlen="$rlen" > temp.$$

# Fill in the missing parts
cat -n temp.$$ | while read line; do
set -- $line

# Get the row number
n="$1"

# Discard the row number and the 1.000 value
shift 2

# Calculate the start and end positions of the column
# If you're using Bourne shell, you'll have to use expr or similiar.
s=$(( ( $n -1 ) * ( $rlen + 1 ) + 1 ))
e=$(( $s + $rlen - 1 ))

# Get the values of the column for the preceding rows in the matrix
head -$n temp.$$ | cut -c$s-$e | tr '\n' ' '

# Output the rest of the row from the input
echo $*
done

# Clean up
rm -f temp.$$
 

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LEARN ABOUT CENTOS

dlaset

dlaset.f(3)							      LAPACK							       dlaset.f(3)

NAME

       dlaset.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dlaset (UPLO, M, N, ALPHA, BETA, A, LDA)
	   DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.

Function/Subroutine Documentation
   subroutine dlaset (characterUPLO, integerM, integerN, double precisionALPHA, double precisionBETA, double precision, dimension( lda, * )A,
       integerLDA)
       DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.

       Purpose:

	    DLASET initializes an m-by-n matrix A to BETA on the diagonal and
	    ALPHA on the offdiagonals.

       Parameters:
	   UPLO

		     UPLO is CHARACTER*1
		     Specifies the part of the matrix A to be set.
		     = 'U':	 Upper triangular part is set; the strictly lower
				 triangular part of A is not changed.
		     = 'L':	 Lower triangular part is set; the strictly upper
				 triangular part of A is not changed.
		     Otherwise:  All of the matrix A is set.

	   M

		     M is INTEGER
		     The number of rows of the matrix A.  M >= 0.

	   N

		     N is INTEGER
		     The number of columns of the matrix A.  N >= 0.

	   ALPHA

		     ALPHA is DOUBLE PRECISION
		     The constant to which the offdiagonal elements are to be set.

	   BETA

		     BETA is DOUBLE PRECISION
		     The constant to which the diagonal elements are to be set.

	   A

		     A is DOUBLE PRECISION array, dimension (LDA,N)
		     On exit, the leading m-by-n submatrix of A is set as follows:

		     if UPLO = 'U', A(i,j) = ALPHA, 1<=i<=j-1, 1<=j<=n,
		     if UPLO = 'L', A(i,j) = ALPHA, j+1<=i<=m, 1<=j<=n,
		     otherwise,     A(i,j) = ALPHA, 1<=i<=m, 1<=j<=n, i.ne.j,

		     and, for all UPLO, A(i,i) = BETA, 1<=i<=min(m,n).

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A.  LDA >= max(1,M).

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 111 of file dlaset.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       dlaset.f(3)
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