File: hist.m

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## Copyright (C) 1996 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, 59 Temple Place - Suite 330, Boston, MA
## 02111-1307, USA.

## usage: [NN, XX] = hist (Y, X)  or  hist (Y, X)
##
## Produce histogram counts or plots.
##
## With one vector input argument, plot a histogram of the values with
## 10 bins.  The range of the histogram bins is determined by the range
## of the data.
##
## Given a second scalar argument, use that as the number of bins.
##
## Given a second vector argument, use that as the centers of the bins,
## with the width of the bins determined from the adjacent values in
## the vector.
##
## Extreme values are lumped in the first and last bins.
##
## With two output arguments, produce the values NN and XX such that
## bar (XX, NN) will plot the histogram.
##
## See also: bar

## Author: jwe

function [nn, xx] = hist (y, x)

  if (nargin < 1 || nargin > 2)
    usage ("[nn, xx] = hist (y, x)");
  endif

  if (is_vector (y))
    max_val = max (y);
    min_val = min (y);
  else
    error ("hist: first argument must be a vector");
  endif

  if (nargin == 1)
    n = 10;
    delta = (max_val - min_val) / n / 2;
    x = linspace (min_val+delta, max_val-delta, n);
    cutoff = x + delta;
  elseif (nargin == 2)
    if (is_scalar (x))
      n = x;
      if (n <= 0)
        error ("hist: number of bins must be positive");
      endif
      delta = (max_val - min_val) / n / 2;
      x = linspace (min_val+delta, max_val-delta, n);
      cutoff = x + delta;
    elseif (is_vector (x))
      tmp = sort (x);
      if (any (tmp != x))
        warning ("hist: bin values not sorted on input");
        x = tmp;
      endif
      n = length (x);
      cutoff = zeros (1, n-1);
      for i = 1:n-1
        cutoff (i) = (x (i) + x (i+1)) / 2;
      endfor
    else
      error ("hist: second argument must be a scalar or a vector");
    endif
  endif

  freq = zeros (1, n);
  freq (1) = sum (y < cutoff (1));
  for i = 2:n-1
    freq (i) = sum (y >= cutoff (i-1) & y < cutoff (i));
  endfor
  freq (n) = sum (y >= cutoff (n-1));

  if (nargout > 0)
    nn = freq;
    xx = x;
  else
    bar (x, freq);
  endif

endfunction