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logspace.m
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1996-09-28
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# Copyright (C) 1993, 1994, 1995 John W. Eaton
#
# This file is part of Octave.
#
# Octave 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, or (at your option) any
# later version.
#
# Octave is distributed in the hope that it will be useful, but WITHOUT
# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
# for more details.
#
# You should have received a copy of the GNU General Public License
# along with Octave; see the file COPYING. If not, write to the Free
# Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
function retval = logspace (x1, x2, n)
# usage: logspace (x1, x2, n)
#
# Return a vector of n logarithmically equally spaced points between
# x1 and x2 inclusive.
#
# If the final argument is omitted, n = 50 is assumed.
#
# All three arguments must be scalars.
#
# Note that if if x2 is pi, the points are between 10^x1 and pi, NOT
# 10^x1 and 10^pi.
#
# Yes, this is pretty stupid, because you could achieve the same
# result with logspace (x1, log10 (pi)), but Matlab does this, and
# claims that is useful for signal processing applications.
#
# See also: linspace
if (nargin == 2)
npoints = 50;
elseif (nargin == 3)
if (length (n) == 1)
npoints = fix (n);
else
error ("logspace: arguments must be scalars");
endif
else
usage ("logspace (x1, x2 [, n])");
endif
if (npoints < 2)
error ("logspace: npoints must be greater than 2");
endif
if (length (x1) == 1 && length (x2) == 1)
x2_tmp = x2;
if (x2 == pi)
x2_tmp = log10 (pi);
endif
retval = 10 .^ (linspace (x1, x2_tmp, npoints));
else
error ("logspace: arguments must be scalars");
endif
endfunction