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########################################################################
##
## Copyright (C) 2003-2024 The Octave Project Developers
##
## See the file COPYRIGHT.md in the top-level directory of this
## distribution or <https://octave.org/copyright/>.
##
## 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 3 of the License, 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, see
## <https://www.gnu.org/licenses/>.
##
########################################################################
## -*- texinfo -*-
## @deftypefn {} {} pareto (@var{y})
## @deftypefnx {} {} pareto (@var{y}, @var{x})
## @deftypefnx {} {} pareto (@var{hax}, @dots{})
## @deftypefnx {} {@var{h} =} pareto (@dots{})
## Draw a Pareto chart.
##
## A Pareto chart is a bar graph that arranges information in such a way
## that priorities for process improvement can be established; It organizes
## and displays information to show the relative importance of data. The chart
## is similar to the histogram or bar chart, except that the bars are arranged
## in decreasing magnitude from left to right along the x-axis.
##
## The fundamental idea (Pareto principle) behind the use of Pareto
## diagrams is that the majority of an effect is due to a small subset of the
## causes. For quality improvement, the first few contributing causes
## (leftmost bars as presented on the diagram) to a problem usually account for
## the majority of the result. Thus, targeting these "major causes" for
## elimination results in the most cost-effective improvement scheme.
##
## Typically only the magnitude data @var{y} is present in which case
## @var{x} is taken to be the range @code{1 : length (@var{y})}. If @var{x}
## is given it may be a string array, a cell array of strings, or a numerical
## vector.
##
## If the first argument @var{hax} is an axes handle, then plot into this axes,
## rather than the current axes returned by @code{gca}.
##
## The optional return value @var{h} is a 2-element vector with a graphics
## handle for the created bar plot and a second handle for the created line
## plot.
##
## An example of the use of @code{pareto} is
##
## @example
## @group
## Cheese = @{"Cheddar", "Swiss", "Camembert", ...
## "Munster", "Stilton", "Blue"@};
## Sold = [105, 30, 70, 10, 15, 20];
## pareto (Sold, Cheese);
## @end group
## @end example
## @seealso{bar, barh, hist, pie, plot}
## @end deftypefn
function h = pareto (varargin)
[hax, varargin, nargin] = __plt_get_axis_arg__ ("pareto", varargin{:});
if (nargin < 1 || nargin > 2)
print_usage ();
endif
y = varargin{1}(:).';
if (nargin == 2)
x = varargin{2}(:).';
if (! iscell (x))
if (ischar (x))
x = cellstr (x);
else
x = cellstr (num2str (x(:)));
endif
endif
else
x = cellstr (int2str ([1:numel(y)]'));
endif
[y, idx] = sort (y, "descend");
x = x(idx);
cdf = cumsum (y);
maxcdf = cdf(end);
cdf ./= maxcdf;
idx95 = find (cdf < 0.95, 1, "last") + 1;
if (isempty (hax))
[ax, hbar, hline] = plotyy (1 : idx95, y(1:idx95),
1 : length (cdf), 100 * cdf,
@bar, @plot);
else
[ax, hbar, hline] = plotyy (hax, 1 : idx95, y(1:idx95),
1 : length (cdf), 100 * cdf,
@bar, @plot);
endif
axis (ax(1), [1 - 0.6, idx95 + 0.6, 0, maxcdf]);
axis (ax(2), [1 - 0.6, idx95 + 0.6, 0, 100]);
set (ax(2), "ytick", [0, 20, 40, 60, 80, 100],
"yticklabel", {"0%", "20%", "40%", "60%", "80%", "100%"},
"ycolor", get (ax(1), "ycolor"));
set (hline, "color", get (ax(1), "colororder")(1,:));
set (ax(1:2), "xtick", 1:idx95, "xticklabel", x(1:idx95));
if (nargout > 0)
h = [hbar; hline];
endif
endfunction
%!demo
%! clf;
%! colormap (jet (64));
%! Cheese = {"Cheddar", "Swiss", "Camembert", "Munster", "Stilton", "Blue"};
%! Sold = [105, 30, 70, 10, 15, 20];
%! pareto (Sold, Cheese);
%! title ("pareto() demo #1");
%!demo
%! clf;
%! ## Suppose that we want establish which products makes 80% of turnover.
%! Codes = {"AB4","BD7","CF8","CC5","AD11","BB5","BB3","AD8","DF3","DE7"};
%! Value = [2.35 7.9 2.45 1.1 0.15 13.45 5.4 2.05 0.85 1.65]';
%! SoldUnits = [54723 41114 16939 1576091 168000 687197 120222 168195, ...
%! 1084118 55576]';
%! pareto (Value.*SoldUnits, Codes);
%! title ("pareto() demo #2");
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