/usr/share/gnudatalanguage/lib/trace.pro is in libgnudatalanguage0 0.9.7-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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function trace, matrix,double=double_keyword
;+
;
;
;
; NAME:
; trace
;
; PURPOSE:
; Calculates the trace of the input matrix 'matrix'
;
;
; CATEGORY:
; Mathematics: Matrices
;
; CALLING SEQUENCE:
; result = trace(matrix)
;
;
;
;
; KEYWORD PARAMETERS:
; DOUBLE_KEYWORD : Keyword for double precision calculation
;
; OUTPUTS:
; Result is the trace of the matrix
;
;
;
; RESTRICTIONS:
; The input matrix must be n x n
;
;
; PROCEDURE:
; Sum over the diagonal elements of the input matrix, return the result
;
; EXAMPLE:
; i=identity(4) ; 4 x 4 identity matrix
; r=trace(i)
; print, r
; 4.0000
;
; MODIFICATION HISTORY:
; Written by: 2004-03-20 Christopher Lee.
;
;
;-
; LICENCE:
; Copyright (C) 2004,
; This program is free software; you can redistribute it and/or modify
; it under the terms of the GNU General Public License as published by
; the Free Software Foundation; either version 2 of the License, or
; (at your option) any later version.
;
;
;-
On_error, 2
s=size(matrix)
if(s[0] ne 2 and s[1] eq s[2]) then begin
printf, "ERROR: need 2 dimensions"
stop
endif
n=s[1]
type=s[s[0]+1]
if(type eq 4 or type eq 5) then begin
;real matrix
tr=keyword_set(double_keyword) or type eq 5? 0.0d: 0.0
if(keyword_set(double_keyword) and type ne 5) then $
for i=0L, n-1 do tr=tr+double(matrix[i,i]) $
else $
for i=0L, n-1 do tr=tr+matrix[i,i]
endif else if(type eq 6 or type eq 9) then begin
;complex matrix
tr=keyword_set(double_keyword) or type eq 9? dcomplex(0.0,0.0): complex(0.0,0.0)
if(keyword_set(double_keyword) and type ne 9) then $
for i=0L, n-1 do tr=tr+dcomplex(matrix[i,i]) $
else $
for i=0L, n-1 do tr=tr+matrix[i,i]
endif
return, tr
end
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