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##
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## -*- texinfo -*-
## @deftypefn  {} {} slice (@var{x}, @var{y}, @var{z}, @var{v}, @var{sx}, @var{sy}, @var{sz})
## @deftypefnx {} {} slice (@var{x}, @var{y}, @var{z}, @var{v}, @var{xi}, @var{yi}, @var{zi})
## @deftypefnx {} {} slice (@var{v}, @var{sx}, @var{sy}, @var{sz})
## @deftypefnx {} {} slice (@var{v}, @var{xi}, @var{yi}, @var{zi})
## @deftypefnx {} {} slice (@dots{}, @var{method})
## @deftypefnx {} {} slice (@var{hax}, @dots{})
## @deftypefnx {} {@var{h} =} slice (@dots{})
## Plot slices of 3-D data/scalar fields.
##
## Each element of the 3-dimensional array @var{v} represents a scalar value at
## a location given by the parameters @var{x}, @var{y}, and @var{z}.  The
## parameters @var{x}, @var{y}, and @var{z} are either 3-dimensional arrays of
## the same size as the array @var{v} in the @qcode{"meshgrid"} format or
## vectors.  The parameters @var{xi}, etc.@: respect a similar format to
## @var{x}, etc., and they represent the points at which the array @var{vi}
## is interpolated using interp3.  The vectors @var{sx}, @var{sy}, and
## @var{sz} contain points of orthogonal slices of the respective axes.
##
## If @var{x}, @var{y}, @var{z} are omitted, they are assumed to be
## @code{x = 1:size (@var{v}, 2)}, @code{y = 1:size (@var{v}, 1)} and
## @code{z = 1:size (@var{v}, 3)}.
##
## @var{method} is one of:
##
## @table @asis
## @item @qcode{"nearest"}
## Return the nearest neighbor.
##
## @item @qcode{"linear"}
## Linear interpolation from nearest neighbors.
##
## @item @qcode{"cubic"}
## Cubic interpolation from four nearest neighbors (not implemented yet).
##
## @item @qcode{"spline"}
## Cubic spline interpolation---smooth first and second derivatives
## throughout the curve.
## @end table
##
## The default method is @qcode{"linear"}.
##
## 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
## surface object.
##
## Examples:
##
## @example
## @group
## [x, y, z] = meshgrid (linspace (-8, 8, 32));
## v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
## slice (x, y, z, v, [], 0, []);
##
## [xi, yi] = meshgrid (linspace (-7, 7));
## zi = xi + yi;
## slice (x, y, z, v, xi, yi, zi);
## @end group
## @end example
## @seealso{interp3, surface, pcolor}
## @end deftypefn

function h = slice (varargin)

  [hax, varargin, nargs] = __plt_get_axis_arg__ ("slice", varargin{:});

  method = "linear";

  if (ischar (varargin{end}))
    method = varargin{end};
    nargs -= 1;
  endif

  if (nargs == 4)
    v = varargin{1};
    if (ndims (v) != 3)
      error ("slice: V must be a 3-dimensional array of values");
    endif
    [nx, ny, nz] = size (v);
    [x, y, z] = meshgrid (1:nx, 1:ny, 1:nz);
    sx = varargin{2};
    sy = varargin{3};
    sz = varargin{4};
  elseif (nargs == 7)
    v = varargin{4};
    if (ndims (v) != 3)
      error ("slice: V must be a 3-dimensional array of values");
    endif
    x = varargin{1};
    y = varargin{2};
    z = varargin{3};
    if (isvector (x) && isvector (y) && isvector (z))
      [x, y, z] = meshgrid (x, y, z);
    elseif (ndims (x) == 3 && size_equal (x, y, z))
      ## Do nothing.
    else
      error ("slice: X, Y, Z size mismatch");
    endif
    sx = varargin{5};
    sy = varargin{6};
    sz = varargin{7};
  else
    print_usage ();
  endif

  if (any ([isvector(sx), isvector(sy), isvector(sz)]))
    have_sval = true;
  elseif (ndims (sx) == 2 && size_equal (sx, sy, sz))
    have_sval = false;
  else
    error ("slice: dimensional mismatch for (XI, YI, ZI) or (SX, SY, SZ)");
  endif

  hax = newplot (hax);

  sidx = 1;
  minv = min (v(:));
  maxv = max (v(:));
  set (hax, "clim", double ([minv, maxv]));

  if (have_sval)
    ns = length (sx) + length (sy) + length (sz);
    hs = zeros (ns,1);
    [ny, nx, nz] = size (v);
    if (length (sz) > 0)
      for i = 1:length (sz)
        [xi, yi, zi] = meshgrid (squeeze (x(1,:,1)),
                                 squeeze (y(:,1,1)), sz(i));
        vz = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
        htmp(sidx++) = surface (hax, xi, yi, sz(i) * ones (size (yi)), vz);
      endfor
    endif

    if (length (sy) > 0)
      for i = length (sy):-1:1
        [xi, yi, zi] = meshgrid (squeeze (x(1,:,1)),
                                 sy(i),
                                 squeeze (z(1,1,:)));
        vy = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
        htmp(sidx++) = surface (hax, squeeze (xi),
                                     squeeze (sy(i) * ones (size (zi))),
                                     squeeze (zi), vy);
      endfor
    endif

    if (length (sx) > 0)
      for i = length (sx):-1:1
        [xi, yi, zi] = meshgrid (sx(i), squeeze (y(:,1,1)), squeeze (z(1,1,:)));
        vx = squeeze (interp3 (x, y, z, v, xi, yi, zi, method));
        htmp(sidx++) = surface (hax, squeeze (sx(i) * ones (size (zi))),
                                     squeeze (yi), squeeze (zi), vx);
      endfor
    endif
  else
    vi = interp3 (x, y, z, v, sx, sy, sz);
    htmp = surface (hax, sx, sy, sz, vi);
  endif

  if (! ishold (hax))
    set (hax, "view", [-37.5, 30.0],
              "xgrid", "on", "ygrid", "on", "zgrid", "on");
  endif

  if (nargout > 0)
    h = htmp;
  endif

endfunction


%!demo
%! clf;
%! colormap ("default");
%! [x, y, z] = meshgrid (linspace (-8, 8, 32));
%! v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
%! slice (x, y, z, v, [], 0, []);
%! title ("slice() demo #1");

%!demo
%! clf;
%! colormap ("default");
%! [x, y, z] = meshgrid (linspace (-8, 8, 32));
%! v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
%! [xi, yi] = meshgrid (linspace (-7, 7));
%! zi = xi + yi;
%! slice (x, y, z, v, xi, yi, zi);
%! title ("slice() demo #2");
