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## -*- texinfo -*-
## @deftypefn  {} {@var{map} =} cubehelix ()
## @deftypefnx {} {@var{map} =} cubehelix (@var{n})
## @deftypefnx {} {@var{map} =} cubehelix (@var{n}, @var{start}, @var{rots}, @var{hue}, @var{gamma})
## Create cubehelix colormap.
##
## This colormap varies from black to white going though blue, green, and red
## tones while maintaining a monotonically increasing perception of intensity.
## This is achieved by traversing a color cube from black to white through
## a helix, hence the name cubehelix, while taking into account the perceived
## brightness of each channel according to the NTSC specifications from 1953.
##
## @example
## rgbplot (cubehelix (256))
## @end example
##
## The argument @var{n} must be a scalar.
## If unspecified, the length of the current colormap, or 64, is used.
##
## Reference: Green, D. A., 2011,
## @cite{A @nospell{colour} scheme for the display of astronomical intensity
## images}, Bulletin of the Astronomical Society of India, 39, 289.
##
## @seealso{colormap}
## @end deftypefn

function map = cubehelix (n, start = 0.5, rots = -1.5, hue = 1, gamma = 1)

  if (nargin > 0)
    if (! isscalar (n))
      error ("cubehelix: N must be a scalar");
    endif
    n = double (n);
  else
    hf = get (0, "currentfigure");
    if (! isempty (hf))
      n = rows (get (hf, "colormap"));
    else
      n = 64;
    endif
  endif

  if (n > 1)
    coeff = [ -0.14861  -0.29227   1.97294
               1.78277  -0.90649   0.00000];

    fract = ((0:n-1) / (n-1))';
    angle = 2 * pi * (start/3 + 1 + rots*fract);
    fract .^= gamma;
    amp   = hue * fract .* (1-fract) /2;
    map   = fract + amp .* ([cos(angle) sin(angle)] * coeff);

    ## Clip values (only in case users have changed values of hue or gamma)
    map(map < 0) = 0;
    map(map > 1) = 1;
  elseif (n > 0)
    map = [0, 0, 0];
  else
    map = zeros (0, 3);
  endif

endfunction


## A better demo of this colormap would be a 3D plot in NTSC instead of
## RGB values.  That would really show what this colormap is about.
%!demo
%! ## Show the 'cubehelix' colormap profile and as an image
%! cmap = cubehelix (256);
%! subplot (2, 1, 1);
%!  rgbplot (cmap, "composite");
%! subplot (2, 1, 2);
%!  rgbplot (cmap);