view scripts/plot/draw/quiver.m @ 32074:03fe0b635d2e

quiver/quiver3: Overhaul input processing, validation, and add BISTs. * scripts/plot/draw/private/__quiver__.m: Overhaul numeric input validation. Simplify input classification using numeric input count switch statements and avoid quiver3 miscount due to scale factor. Add error messages for all valid numeric input combinations including vector x,y,z and scale factor. Move newplot command from quiver/quiver3 into __quiver__ after numeric input validation. Add hax as an output argument to return any changes back to calling function. * scripts/plot/draw/quiver.m: Remove newplot call. Update __quiver__ call to include hax as a return variable. Update docstring with note that line style and name-value pairs can both be provided but linstyle must appear first. Add BISTs to check standard inputs with single and multiple arrows, arrowhead shape, vector and array inputs, proper treatment of scaling factor "off", some simple input styles, and input validation BISTs to cover all numeric input errors. Added known failing BIST for linestyle+pair arrowhead showing when it should stay off (bug #64143). * scripts/plot/draw/quiver3.m: Remove newplot call. Update __quiver__ call to include hax as a return variable. Update docstring with note that line style and name-value pairs can both be provided but linstyle must appear first. Add BISTs to check standard inputs with single and multiple arrows, vector and array inputs, and input validation BISTs to cover all numeric input errors. * etc/NEWS.9.md: Update quiver/quiver3 improvement description under General Improvements.
author Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
date Wed, 03 May 2023 22:52:33 -0400
parents ada96a467a28
children 7dcb6b4a4218
line wrap: on
line source

########################################################################
##
## Copyright (C) 2007-2023 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  {} {} quiver (@var{u}, @var{v})
## @deftypefnx {} {} quiver (@var{x}, @var{y}, @var{u}, @var{v})
## @deftypefnx {} {} quiver (@dots{}, @var{s})
## @deftypefnx {} {} quiver (@dots{}, @var{style})
## @deftypefnx {} {} quiver (@dots{}, "filled")
## @deftypefnx {} {} quiver (@var{hax}, @dots{})
## @deftypefnx {} {@var{h} =} quiver (@dots{})
##
## Plot a 2-D vector field with arrows.
##
## Plot the (@var{u}, @var{v}) components of a vector field at the grid points
## defined by (@var{x}, @var{y}).  If the grid is uniform then @var{x} and
## @var{y} can be specified as grid vectors and @code{meshgrid} is used to
## create the 2-D grid.
##
## If @var{x} and @var{y} are not given they are assumed to be
## @code{(1:@var{m}, 1:@var{n})} where
## @code{[@var{m}, @var{n}] = size (@var{u})}.
##
## The optional input @var{s} is a scalar defining a scaling factor to use for
## the arrows of the field relative to the mesh spacing.  A value of 1.0 will
## result in the longest vector exactly filling one grid square.  A value of 0
## or "off" disables all scaling.  The default value is 0.9.
##
## The style to use for the plot can be defined with a line style, @var{style},
## of the same format as the @code{plot} command.  If a marker is specified
## then the markers are drawn at the origin of the vectors (which are the grid
## points defined by @var{x} and @var{y}).  When a marker is specified, the
## arrowhead is not drawn.  If the argument @qcode{"filled"} is given then the
## markers are filled.  If name-value plot style properties are used, they must
## appear in pairs and follow any other plot style arguments.
##
## 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 a quiver object.
## A quiver object regroups the components of the quiver plot (body, arrow,
## and marker), and allows them to be changed together.
##
## Example:
##
## @example
## @group
## [x, y] = meshgrid (1:2:20);
## h = quiver (x, y, sin (2*pi*x/10), sin (2*pi*y/10));
## set (h, "maxheadsize", 0.33);
## @end group
## @end example
##
## @seealso{quiver3, compass, feather, plot}
## @end deftypefn

function h = quiver (varargin)

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

  if (nargin < 2)
    print_usage ();
  endif

  oldfig = [];
  if (! isempty (hax))
    oldfig = get (0, "currentfigure");
  endif
  unwind_protect
    [hax, htmp] = __quiver__ (hax, false, varargin{:});

    ## FIXME: This should be moved into __quiver__ when problem with
    ##        re-initialization of title object is fixed.
    if (! ishold ())
      set (hax, "box", "on");
    endif

  unwind_protect_cleanup
    if (! isempty (oldfig))
      set (0, "currentfigure", oldfig);
    endif
  end_unwind_protect

  if (nargout > 0)
    h = htmp;
  endif

endfunction


%!demo
%! clf;
%! [x,y] = meshgrid (1:2:20);
%! h = quiver (x,y, sin (2*pi*x/10), sin (2*pi*y/10));
%! title ("quiver() plot w/arrowheads (default)");

%!demo
%! clf;
%! [x,y] = meshgrid (1:2:20);
%! h = quiver (x,y, sin (2*pi*x/10), sin (2*pi*y/10), "o");
%! title ("quiver() plot w/origin markers");

%!demo
%! clf;
%! [x,y] = meshgrid (1:2:20);
%! h = quiver (x,y, sin (2*pi*x/10), sin (2*pi*y/10));
%! set (h, "marker", "o");
%! title ("quiver() plot w/origin markers and arrowheads");

%!demo
%! clf;
%! x = linspace (0, 3, 80);
%! y = sin (2*pi*x);
%! theta = 2*pi*x + pi/2;
%! quiver (x, y, sin (theta)/10, cos (theta)/10, 0.4);
%! axis equal tight;
%! hold on; plot (x,y,"r"); hold off;
%! title ("quiver() with scaled arrows");

## Check standard inputs, single arrow.
%!test
%! hf = figure ("visible", "off");
%! hax = gca();
%! unwind_protect
%!   h = quiver (hax, 1, 2);
%!   childxdata = get (get (h, "children"), "xdata");
%!   stemchild = find (cellfun (@numel, childxdata) == 3);
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{stemchild}(1), 1, eps);
%!   assert (childxdata{stemchild}(2), 1 + 1*0.9, eps);
%!   assert (isnan (childxdata{stemchild}(3)));
%!   assert (childxdata{arrowheadchild}(2), 1 + 1*0.9, eps);
%!   assert (isnan (childxdata{arrowheadchild}(4)));
%!
%!   h = quiver (hax, 1, 2, 0.5);
%!   childxdata = get (get (h, "children"), "xdata");
%!   stemchild = find (cellfun (@numel, childxdata) == 3);
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{stemchild}(1), 1, eps);
%!   assert (childxdata{stemchild}(2), 1 + 1*0.5, eps);
%!   assert (isnan (childxdata{stemchild}(3)));
%!   assert (childxdata{arrowheadchild}(2), 1 + 1*0.5, eps);
%!   assert (isnan (childxdata{arrowheadchild}(4)));
%!
%!   h = quiver (hax, 0, 1, 2, 3);
%!   childxdata = get (get (h, "children"), "xdata");
%!   stemchild = find (cellfun (@numel, childxdata) == 3);
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{stemchild}(1), 0, eps);
%!   assert (childxdata{stemchild}(2), 0 + 2*0.9, eps);
%!   assert (isnan (childxdata{stemchild}(3)));
%!   assert (childxdata{arrowheadchild}(2), 0 + 2*0.9, eps);
%!   assert (isnan (childxdata{arrowheadchild}(4)));
%!
%!   h = quiver (hax, 0, 1, 2, 3, 0.5);
%!   childxdata = get (get (h, "children"), "xdata");
%!   stemchild = find (cellfun (@numel, childxdata) == 3);
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{stemchild}(1), 0, eps);
%!   assert (childxdata{stemchild}(2), 0 + 2*0.5, eps);
%!   assert (isnan (childxdata{stemchild}(3)));
%!   assert (childxdata{arrowheadchild}(2), 0 + 2*0.5, eps);
%!   assert (isnan (childxdata{arrowheadchild}(4)));
%!
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Check arrowhead size
%!test
%! hf = figure ("visible", "off");
%! hax = gca();
%! unwind_protect
%!   h = quiver (hax, 0, 0, 0, 1, 1); # up
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{arrowheadchild}, [1/9 0 -1/9 NaN], eps);
%!   assert (childydata{arrowheadchild}, [2/3 1 2/3 NaN], eps);
%!
%!   h = quiver (hax, 0, 0, 0, -1, 1); # down
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{arrowheadchild}, [-1/9 0 1/9 NaN], eps);
%!   assert (childydata{arrowheadchild}, [-2/3 -1 -2/3 NaN], eps);
%!
%!   h = quiver (hax, 0, 0, -1, 0, 1); # left
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{arrowheadchild}, [-2/3 -1 -2/3 NaN], eps);
%!   assert (childydata{arrowheadchild}, [1/9 0 -1/9 NaN], eps);
%!
%!   h = quiver (hax, 0, 0, 1, 0, 1); # right
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{arrowheadchild}, [2/3 1 2/3 NaN], eps);
%!   assert (childydata{arrowheadchild}, [-1/9 0 1/9 NaN], eps);
%!
%!   h = quiver (hax, 0, 0, 1, 1, 1); # 45 deg - symmetric
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{arrowheadchild}, [7/9 1 5/9 NaN], eps);
%!   assert (childydata{arrowheadchild}, [5/9 1 7/9 NaN], eps);
%!
%!   h = quiver (hax, 0, 0, sqrt(3), 1, 1); # 30 deg
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4);
%!   assert (childxdata{arrowheadchild}, [(6*sqrt(3)+1)/9, sqrt(3), (6*sqrt(3)-1)/9, NaN], eps);
%!   assert (childydata{arrowheadchild}, [(6-sqrt(3))/9, 1, (6+sqrt(3))/9, NaN], eps);
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Check standard inputs, multiple arrows.
%!test
%! hf = figure ("visible", "off");
%! hax = gca();
%! unwind_protect
%!   [x,y] = meshgrid (0:1);
%!   u = [0 1; 1 -2];
%!   v = [1 0; 1 -2];
%!   numpts = 4;
%!   h = quiver (hax, u, v, 1);  # assumes [x,y] = meshgrid (1:2)
%!   childxdata = get (get (h, "children"), "xdata");
%!   basechild = find (cellfun (@numel, childxdata) == 1*numpts);
%!   stemchild = find (cellfun (@numel, childxdata) == 3*numpts);
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4*numpts);
%!   assert (childxdata{basechild}, [1 1 2 2]);
%!   assert (childxdata{stemchild}, [1,1,NaN,1,1.25,NaN,2,2.25,NaN,2,1.5,NaN], eps);
%!   assert (childxdata{arrowheadchild}([2, 6, 10, 14]), [1, 1.25, 2.25, 1.5], eps);
%!   assert (childxdata{arrowheadchild}([4, 8, 12, 16]), NaN(1,4), eps);
%!
%!   h = quiver (hax, x, y, u, v, 1);
%!   childxdata = get (get (h, "children"), "xdata");
%!   basechild = find (cellfun (@numel, childxdata) == 1*numpts);
%!   stemchild = find (cellfun (@numel, childxdata) == 3*numpts);
%!   arrowheadchild = find (cellfun (@numel, childxdata) == 4*numpts);
%!   assert (childxdata{basechild}, [0 0 1 1]);
%!   assert (childxdata{stemchild}, [0,0,NaN,0,0.25,NaN,1,1.25,NaN,1,0.5,NaN], eps);
%!   assert (childxdata{arrowheadchild}([2, 6, 10, 14]), [0, 0.25, 1.25, 0.5], eps);
%!   assert (childxdata{arrowheadchild}([4, 8, 12, 16]), NaN(1,4), eps);
%!
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Check multiple arrows, vector inputs identical to array inputs.
%!test
%! hf = figure ("visible", "off");
%! hax = gca();
%! unwind_protect
%!   [x,y] = meshgrid (0:1);
%!   u = [0 1; 1 -2];
%!   v = [1 0; 1 -2];
%!   h = quiver (hax, x, y, u, v, 1);  # arrayinput
%!   haxarray = get(hax);
%!   haxarray.children = [];
%!   haxarray.xlabel = [];
%!   haxarray.ylabel = [];
%!   haxarray.zlabel = [];
%!   haxarray.title = [];
%!   parentarray = get(h);
%!   parentarray.children = [];
%!   childrenarray = get (get (h, "children"));
%!   [childrenarray.parent] = deal ([]);
%!   h = quiver (hax, [0:1], [0:1], u, v, 1);
%!   haxvect1 = get(hax);
%!   haxvect1.children = [];
%!   haxvect1.xlabel= [];
%!   haxvect1.ylabel= [];
%!   haxvect1.zlabel= [];
%!   haxvect1.title= [];
%!   parentvect1 = get(h);
%!   parentvect1.children = [];
%!   childrenvect1 = get (get (h, "children"));
%!   [childrenvect1.parent] = deal ([]);
%!   assert (isequaln (haxarray, haxvect1));
%!   assert (isequaln (parentarray, parentvect1));
%!   assert (isequaln (childrenarray, childrenvect1));
%!   h = quiver (hax, [0:1], [0:1]', u, v, 1);
%!   haxvect2 = get(hax);
%!   haxvect2.children = [];
%!   haxvect2.xlabel= [];
%!   haxvect2.ylabel= [];
%!   haxvect2.zlabel= [];
%!   haxvect2.title= [];
%!   parentvect2 = get(h);
%!   parentvect2.children = [];
%!   childrenvect2 = get (get (h, "children"));
%!   [childrenvect2.parent] = deal ([]);
%!   assert (isequaln (haxvect1, haxvect2));
%!   assert (isequaln (parentvect1, parentvect2));
%!   assert (isequaln (childrenvect1, childrenvect2));
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Check scale factor "off" is identical to scale factor = 0.
%!test
%! hf = figure ("visible", "off");
%! hax = gca();
%! unwind_protect
%!   h = quiver (hax, 1, 2, 0);
%!   haxzero = get(hax);
%!   haxzero.children = [];
%!   haxzero.xlabel = [];
%!   haxzero.ylabel = [];
%!   haxzero.zlabel = [];
%!   haxzero.title = [];
%!   parentzero = get(h);
%!   parentzero.children = [];
%!   childrenzero = get (get (h, "children"));
%!   [childrenzero.parent] = deal ([]);
%!   h = quiver (hax, 1, 2, "off");
%!   haxoff = get(hax);
%!   haxoff.children = [];
%!   haxoff.xlabel= [];
%!   haxoff.ylabel= [];
%!   haxoff.zlabel= [];
%!   haxoff.title= [];
%!   parentoff = get(h);
%!   parentoff.children = [];
%!   childrenoff = get (get (h, "children"));
%!   [childrenoff.parent] = deal ([]);
%!   assert (isequaln (haxzero, haxoff));
%!   assert (isequaln (parentzero, parentoff));
%!   assert (isequaln (childrenzero, childrenoff));
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Check input styles.
%!test
%! hf = figure ("visible", "off");
%! hax = gca();
%! unwind_protect
%!   h = quiver (hax, 0, 1, 2, 3, "-o"); # Linestyle
%!   parent = get (h);
%!   assert (strcmp (parent.marker, "o"));
%!   assert (strcmp (parent.markerfacecolor, "none"));
%!   childdata = get (parent.children);
%!   basechild = find (cellfun (@numel, {childdata.xdata}) == 1);
%!   arrowheadchild = find (cellfun (@numel, {childdata.xdata}) == 4);
%!   assert (strcmp (childdata(basechild).marker, "o"));
%!   assert (strcmp (childdata(basechild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(basechild).linestyle, "none"));
%!   assert (strcmp (childdata(arrowheadchild).marker, "none"));
%!   assert (strcmp (childdata(arrowheadchild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(arrowheadchild).linestyle, "none"));
%!
%!   h = quiver (hax, 0, 1, 2, 3, "-o", "filled");  # Linestyle + filled.
%!   parent = get (h);
%!   assert (strcmp (parent.marker, "o"));
%!   assert (numel (parent.markerfacecolor), 3);
%!   childdata = get (parent.children);
%!   basechild = find (cellfun (@numel, {childdata.xdata}) == 1);
%!   arrowheadchild = find (cellfun (@numel, {childdata.xdata}) == 4);
%!   assert (strcmp (childdata(basechild).marker, "o"));
%!   assert (numel (childdata(basechild).markerfacecolor), 3);
%!   assert (strcmp (childdata(basechild).linestyle, "none"));
%!   assert (strcmp (childdata(arrowheadchild).marker, "none"));
%!   assert (strcmp (childdata(arrowheadchild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(arrowheadchild).linestyle, "none"));
%!
%!   h = quiver (hax, 0, 1, 2, 3, "linewidth", 10); # Name/value pair.
%!   parent = get (h);
%!   assert (strcmp (parent.marker, "none"));
%!   assert (strcmp (parent.markerfacecolor, "none"));
%!   assert (strcmp (parent.linestyle, "-"));
%!   assert (parent.linewidth, 10);
%!   childdata = get (parent.children);
%!   basechild = find (cellfun (@numel, {childdata.xdata}) == 1);
%!   stemchild = find (cellfun (@numel, {childdata.xdata}) == 3);
%!   arrowheadchild = find (cellfun (@numel, {childdata.xdata}) == 4);
%!   assert (strcmp (childdata(basechild).marker, "none"));
%!   assert (strcmp (childdata(basechild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(basechild).linestyle, "none"));
%!   assert (strcmp (childdata(stemchild).marker, "none"));
%!   assert (strcmp (childdata(stemchild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(stemchild).linestyle, "-"));
%!   assert (childdata(stemchild).linewidth, 10);
%!   assert (strcmp (childdata(arrowheadchild).marker, "none"));
%!   assert (strcmp (childdata(arrowheadchild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(arrowheadchild).linestyle, "-"));
%!   assert (childdata(arrowheadchild).linewidth, 10);
%!
%!  unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Test both Linestyle + name/value pair
%!test <64143>
%! hf = figure ("visible", "off");
%! hax = gca();
%! unwind_protect
%!   h = quiver (hax, 0, 1, 2, 3, "-o", "linewidth", 10);
%!   parent = get (h);
%!   assert (strcmp (parent.marker, "o"));
%!   assert (strcmp (parent.markerfacecolor, "none"));
%!   assert (strcmp (parent.linestyle, "-"));
%!   assert (parent.linewidth, 10);
%!   childdata = get (parent.children);
%!   basechild = find (cellfun (@numel, {childdata.xdata}) == 1);
%!   stemchild = find (cellfun (@numel, {childdata.xdata}) == 3);
%!   arrowheadchild = find (cellfun (@numel, {childdata.xdata}) == 4);
%!   assert (strcmp (childdata(basechild).marker, "o"));
%!   assert (strcmp (childdata(basechild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(basechild).linestyle, "none"));
%!   assert (strcmp (childdata(stemchild).marker, "none"));
%!   assert (strcmp (childdata(stemchild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(stemchild).linestyle, "-"));
%!   assert (childdata(stemchild).linewidth, 10);
%!   assert (strcmp (childdata(arrowheadchild).marker, "none"));
%!   assert (strcmp (childdata(arrowheadchild).markerfacecolor, "none"));
%!   assert (strcmp (childdata(arrowheadchild).linestyle, "none"));
%!   assert (childdata(arrowheadchild).linewidth, 10);
%!
%!  unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Check arrow length, scale factor adjustment, one arrow.
%!test <*39552>
%! hf = figure ("visible", "off");
%! hax = gca ();
%! unwind_protect
%!   [x,y] = meshgrid (1:2);
%!   u = [0 1; 2 3];
%!   v = [1 2; 3 4];
%!   numpts = numel (x);
%!   sf = 0.5;
%!
%!   ## Check single arrow.
%!   h = quiver (hax, x(4), y(4), u(4), v(4), 1);
%!   childxdata = get (get (h, "children"), "xdata");
%!   stemchild = find (cellfun (@numel, childxdata) == 3);
%!   xendpoint = childxdata{stemchild}(2);
%!   assert (xendpoint, x(4) + u(4), eps);
%!
%!   h = quiver (hax, x(4), y(4), u(4), v(4), sf);
%!   childxdata = get (get (h, "children"), "xdata");
%!   stemchild = find (cellfun (@numel, childxdata) == 3);
%!   xendpoint = childxdata{stemchild}(2);
%!   assert (xendpoint, x(4) + sf*u(4), eps);
%!
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Check arrow length, scale factor adjustment, multiple arrows.
%!test <*39552>
%! hf = figure ("visible", "off");
%! hax = gca ();
%! unwind_protect
%!   [x,y] = meshgrid (1:2);
%!   u = [0 1; 2 3];
%!   v = [1 2; 3 4];
%!   numpts = numel (x);
%!   sf = 0.5;
%!
%!   ## Check multiple arrows.
%!   h = quiver (hax, x, y, u, v, 1);
%!   childxdata = get (get (h, "children"), "xdata");
%!   stemchild = find (cellfun (@numel, childxdata) == 3*numpts);
%!   xendpoint1 = childxdata{stemchild}(5);
%!   xendpoint2 = childxdata{stemchild}(11);
%!   assert (xendpoint1, x(2) + (sqrt(2)/10)*u(2), eps);
%!   assert (xendpoint2, x(4) + (sqrt(2)/10)*u(4), eps);
%!
%!   h = quiver (hax, x, y, u, v, sf);
%!   childxdata = get (get (h, "children"), "xdata");
%!   stemchild = find (cellfun (@numel, childxdata) == 3*numpts);
%!   xendpoint1 = childxdata{stemchild}(5);
%!   xendpoint2 = childxdata{stemchild}(11);
%!   assert (xendpoint1, x(2) + sf*(sqrt(2)/10)*u(2), eps);
%!   assert (xendpoint2, x(4) + sf*(sqrt(2)/10)*u(4), eps);
%!
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Check for proper plotting with non-float inputs.
%!test <*59695>
%! hf = figure ("visible", "off");
%! hax = gca ();
%! unwind_protect
%!   h = quiver (int32(1), int32(1), int32(1), int32(1), double(0.5));
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   assert (all (strcmp (cellfun (...
%!                 'class', childxdata, 'UniformOutput', false), "double")));
%!   assert (all (strcmp (cellfun (...
%!                 'class', childydata, 'UniformOutput', false), "double")));
%!   assert (childxdata{2}(2) , 1.5, eps);
%!   assert (childxdata{3}(2) , 1.5, eps);
%!   assert (childydata{2}(2) , 1.5, eps);
%!   assert (childydata{3}(2) , 1.5, eps);
%!
%!   h = quiver (0.5, 0.5, 0.5, 0.5, int32(1));
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   assert (all (strcmp (cellfun (...
%!                 'class', childxdata, 'UniformOutput', false), "double")));
%!   assert (all (strcmp (cellfun (...
%!                 'class', childydata, 'UniformOutput', false), "double")));
%!   assert (childxdata{2}(2) , 1, eps);
%!   assert (childxdata{3}(2) , 1, eps);
%!   assert (childydata{2}(2) , 1, eps);
%!   assert (childydata{3}(2) , 1, eps);
%!
%!   h = quiver (false, true, false, true, true);
%!   children = get (h, "children");
%!   childxdata = get (children, "xdata");
%!   childydata = get (children, "ydata");
%!   assert (all (strcmp (cellfun (...
%!                 'class', childxdata, 'UniformOutput', false), "double")));
%!   assert (all (strcmp (cellfun (...
%!                 'class', childydata, 'UniformOutput', false), "double")));
%!   assert (childxdata{2}(2) , 0, eps);
%!   assert (childxdata{3}(2) , 0, eps);
%!   assert (childydata{2}(2) , 2, eps);
%!   assert (childydata{3}(2) , 2, eps);
%!
%! unwind_protect_cleanup
%!   close (hf);
%! end_unwind_protect

## Test input validation
%!error <Invalid call> quiver()
%!error <Invalid call> quiver(1.1)
%!error <Invalid call> quiver(1.1, "foo")
%!error <Invalid call> quiver(1.1, 2, 3, 4, 5, 6, "foo")
%!error <U and V must be the same size> quiver ([1, 2], 3)
%!error <U and V must be the same size> quiver (1.1, [2, 3])
%!error <U and V must be the same size> quiver (1.1, 2, eye(2), 4)
%!error <U and V must be the same size> quiver (1.1, 2, 3, eye(2))
%!error <X vector length must equal> quiver (1.1, [2 3], eye(2), eye(2))
%!error <Y vector length must equal> quiver ([1, 2], 3, eye(2), eye(2))
%!error <X, Y, U, and V must be the same size> quiver (eye(3), eye(2), eye(2), eye(2))
%!error <X, Y, U, and V must be the same size> quiver (eye(2), eye(3), eye(2), eye(2))
%!error <X, Y, U, and V must be the same size> quiver (eye(2), eye(2), eye(3), eye(2))
%!error <X, Y, U, and V must be the same size> quiver (eye(2), eye(2), eye(2), eye(3))
%!error <scaling factor must be> quiver (10, 20, -5)
%!error <scaling factor must be> quiver (10, 20, [1 2])
%!error <scaling factor must be> quiver (10, 20, 30, 40, -5)
%!error <scaling factor must be> quiver (10, 20, 30, 40, [1 2])