File: scatter.m

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########################################################################
##
## Copyright (C) 2007-2025 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  {} {} scatter (@var{x}, @var{y})
## @deftypefnx {} {} scatter (@var{x}, @var{y}, @var{s})
## @deftypefnx {} {} scatter (@var{x}, @var{y}, @var{s}, @var{c})
## @deftypefnx {} {} scatter (@dots{}, @var{style})
## @deftypefnx {} {} scatter (@dots{}, "filled")
## @deftypefnx {} {} scatter (@dots{}, @var{prop}, @var{val}, @dots{})
## @deftypefnx {} {} scatter (@var{hax}, @dots{})
## @deftypefnx {} {@var{h} =} scatter (@dots{})
## Draw a 2-D scatter plot.
##
## A marker is plotted at each point defined by the coordinates in the vectors
## @var{x} and @var{y}.
##
## The size of the markers is determined by @var{s}, which can be a scalar
## or a vector of the same length as @var{x} and @var{y}.  If @var{s}
## is not given, or is an empty matrix, then a default value of 36 square
## points is used (The marker size itself is @code{sqrt (s)}).
##
## The color of the markers is determined by @var{c}, which can be a string
## defining a fixed color; a 3-element vector giving the red, green, and blue
## components of the color; a vector of the same length as @var{x} that gives
## a scaled index into the current colormap; or an @nospell{Nx3} matrix
## defining the RGB color of each marker individually.
##
## The marker to use can be changed with the @var{style} argument; it is a
## string defining a marker in the same manner as the @code{plot} command.
## If no marker is specified it defaults to @qcode{"o"} or circles.
## If the argument @qcode{"filled"} is given then the markers are filled.
##
## 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 graphics handle to the created
## scatter object.
##
## Example:
##
## @example
## @group
## x = randn (100, 1);
## y = randn (100, 1);
## scatter (x, y, [], sqrt (x.^2 + y.^2));
## @end group
## @end example
##
## Programming Note: The full list of properties is documented at
## @ref{Scatter Properties}.
## @seealso{scatter3, patch, plot}
## @end deftypefn

function h = scatter (varargin)

  [hax, varargin, nargin] = __plt_get_axis_arg__ ("scatter", varargin{:});

  if (nargin < 2)
    print_usage ();
  endif

  oldfig = [];
  if (! isempty (hax))
    oldfig = get (0, "currentfigure");
  endif
  unwind_protect
    hax = newplot (hax);

    htmp = __scatter__ (hax, 2, "scatter", varargin{:});
  unwind_protect_cleanup
    if (! isempty (oldfig))
      set (0, "currentfigure", oldfig);
    endif
  end_unwind_protect

  if (nargout > 0)
    h = htmp;
  endif

endfunction


%!demo
%! clf;
%! x = randn (100, 1);
%! y = randn (100, 1);
%! scatter (x, y, "r");
%! title ("scatter() plot with red bubbles");

%!demo
%! clf;
%! x = randn (100, 1);
%! y = randn (100, 1);
%! c = x .* y;
%! scatter (x, y, 50, c, "filled");
%! title ("scatter() with colored filled bubbles");

%!demo
%! clf;
%! x = randn (100, 1);
%! y = randn (100, 1);
%! scatter (x, y, [], sqrt (x.^2 + y.^2));
%! title ({"scatter() plot"; ...
%!         "bubble color determined by distance from origin"});

%!demo
%! clf;
%! rand_10x1_data5 = [0.777753, 0.093848, 0.183162, 0.399499, 0.337997, 0.686724, 0.073906, 0.651808, 0.869273, 0.137949];
%! rand_10x1_data6 = [0.37460, 0.25027, 0.19510, 0.51182, 0.54704, 0.56087, 0.24853, 0.75443, 0.42712, 0.44273];
%! x = rand_10x1_data5;
%! y = rand_10x1_data6;
%! h = scatter (x, y, [], "r", "s");
%! title ({"scatter() plot"; ...
%!         "color is red, marker is square"});

%!demo
%! clf;
%! rand_10x1_data3 = [0.42262, 0.51623, 0.65992, 0.14999, 0.68385, 0.55929, 0.52251, 0.92204, 0.19762, 0.93726];
%! rand_10x1_data4 = [0.020207, 0.527193, 0.443472, 0.061683, 0.370277, 0.947349, 0.249591, 0.666304, 0.134247, 0.920356];
%! x = rand_10x1_data3;
%! y = rand_10x1_data4;
%! h = scatter (x, y, [], "r", "s", "filled");
%! title ({"scatter() plot"; ...
%!         "color is red, marker is square, marker is filled"});

%!demo
%! clf;
%! rand_10x1_data1 = [0.171577, 0.404796, 0.025469, 0.335309, 0.047814, 0.898480, 0.639599, 0.700247, 0.497798, 0.737940];
%! rand_10x1_data2 = [0.75495, 0.83991, 0.80850, 0.73603, 0.19360, 0.72573, 0.69371, 0.74388, 0.13837, 0.54143];
%! x = rand_10x1_data1;
%! y = rand_10x1_data2;
%! s = 36 - 30*log (x.^2 + y.^2);
%! h = scatter (x, y, s, s, "s", "filled");
%! title ({"scatter() plot with filled square markers", ...
%!         "size and color of markers determined by algorithm"});

%!demo
%! clf;
%! k = 1;
%! for m = [1, 3]
%!   for n = [101, 50, 1]
%!     x = rand (n, 1);
%!     y = rand (n, 1);
%!     if (m > 1)
%!       str = "Three Colors";
%!       idx = ceil (rand (n, 1) * 3);
%!       colors = eye (3);
%!       colors = colors(idx, :);
%!     else
%!       str = "Random Colors";
%!       colors = rand (n, m);
%!     endif
%!     if (n == 1)
%!       str = sprintf ("%s: 1 point", str);
%!     elseif (n < 100)
%!       str = sprintf ("%s: < 100 points", str);
%!     else
%!       str = sprintf ("%s: > 100 points", str);
%!     endif
%!     subplot (2,3,k);
%!     k = k + 1;
%!     scatter (x, y, [], colors, "filled");
%!     axis ([0 1 0 1]);
%!     title (str);
%!   endfor
%! endfor

%!demo
%! clf;
%! k = 1;
%! for m = [1, 3]
%!   for n = [101, 50, 1]
%!     x = rand (n, 1);
%!     y = rand (n, 1);
%!     if (m > 1)
%!       str = "Three Colors";
%!       idx = ceil (rand (n, 1) * 3);
%!       colors = eye (3);
%!       colors = colors(idx, :);
%!     else
%!       str = "Random Colors";
%!       colors = rand (n, m);
%!     endif
%!     if (n == 1)
%!       str = sprintf ("%s: 1 point", str);
%!     elseif (n < 100)
%!       str = sprintf ("%s: < 100 points", str);
%!     else
%!       str = sprintf ("%s: > 100 points", str);
%!     endif
%!     subplot (2,3,k);
%!     k = k + 1;
%!     scatter (x, y, [], colors);
%!     axis ([0 1 0 1]);
%!     title (str);
%!   endfor
%! endfor


%!testif ; ! strcmp (graphics_toolkit (), "gnuplot")
%! hf = figure ("visible", "off");
%! unwind_protect
%!   hs = scatter ([], []);
%!   assert (get (hs, "type"), "scatter");
%!   assert (isempty (get (hs, "xdata")));
%!   assert (isempty (get (hs, "ydata")));
%!   assert (isempty (get (hs, "zdata")));
%!   assert (get (hs, "cdata"), [0, 0.4470, 0.7410]);
%!   assert (get (hs, "cdatamode"), "auto");
%!   assert (get (hs, "sizedata"), 36);
%!   assert (get (hs, "linewidth"), 0.5);
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect