File: x08c.m

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## Copyright (C) 1998, 1999, 2000  Joao Cardoso
## Copyright (C) 2004  Rafael Laboissiere
##
## This program 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 2 of the License, or (at your
## option) any later version.
##
## This program 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.
##
## This file is part of plplot_octave.
## It is based on the corresponding demo function of PLplot.
## Does a series of 3-d plots for a given data set, with different
## viewing options in each plot.

1;

function cmap1_init(g)
  i = [0; 1];           # left boundary, right boundary
  if (g)
    h = [0; 0]; 	# hue -- low: red (arbitrary if s=0) -- high: red (arbitrary if s=0)
    l = [0.5; 1];	# lightness -- low: half-dark -- high: light
    s = [0; 0];		# minimum saturation
  else
    h = [240; 0];       # blue -> green -> yellow -> red
    l = [0.6; 0.6];
    s = [0.8; 0.8];
  endif

  plscmap1n(256);
  plscmap1l(0, i, h, l, s, zeros(2,1));
endfunction

  function ix08c

    global MAG_COLOR BASE_CONT SURF_CONT FACETED


    # These values must be odd, for the middle
    # of the index range to be an integer, and thus
    # to correspond to the exact floating point centre
    # of the sombrero.

    XPTS=35;		## Data points in x
    YPTS=45;		## Datat points in y

    alt=[60.0, 40.0];
    az =[30.0, -30.0];

    title=["#frPLplot Example 8 - Alt=60, Az=30";
	   "#frPLplot Example 8 - Alt=40, Az=-30"];

    ## Parse and process command line arguments

    ## (void) plparseopts(&argc, argv, PL_PARSE_FULL);

    ## Initialize plplot
    plinit();

    rosen = 0;

    dx = 2. / ( XPTS - 1 );
    dy = 2. / ( YPTS - 1 );
    x = -1. + dx*(0:XPTS-1);
    y = -1. + dy*(0:YPTS-1);
    if (rosen)
      x = x * 1.5;
      y = y + 0.5;
    endif
    [xx, yy] = meshgrid(x,y);

    if (rosen)
      z = (1 - xx) .^ 2 + 100 .* (yy - xx .^ 2) .^ 2;
      if exist ("do_fortran_indexing")
        of = do_fortran_indexing;
        do_fortran_indexing = 1;
      endif
      z(z <= 0) = exp(-5); # make sure the minimum after applying log() is -5
      if exist ("do_fortran_indexing")
        do_fortran_indexing = of;
      endif
      z = log(z);
    else
      r = sqrt(xx .* xx + yy .* yy);
      z = exp(-r .* r) .* cos(2.0 * pi .* r);
    endif

    pllightsource(1.,1.,1.);

    n_col = 100;
    plscmap1n(n_col);

    # Set up data and arrays for plsurf3dl call below.
    indexxmin = 0;
    indexxmax = XPTS;
    # Must be same shape as z, and a row of z.
    # Parameters of ellipse that limits the data.
    x0 = 0.5*(XPTS - 1);
    a = 0.9*x0;
    y0 = 0.5*(YPTS - 1);
    b = 0.7*y0;

    for i=indexxmin+1: indexxmax
      square_root = sqrt(1. - min(1., (((i-1) - x0)/a)^2));
      # Add 0.5 to find nearest integer and therefore preserve symmetry
      # with regard to lower and upper bound of y range.
      indexymin(i) = max(0, floor(0.5 + y0 - b*square_root));
      # indexymax calculated with the convention that it is 1
      # greater than highest valid index.
      indexymax(i) = min(YPTS, 1 + floor(0.5 + y0 + b*square_root));
      zlimited(indexymin(i)+1:indexymax(i),i) = z(indexymin(i)+1:indexymax(i),i);
    endfor
    # Force zlimited to be the correct size so that the plsurf3dl call below passes
    # all dimension consistency checks.  This index is outside the elliptical
    # limits above so should be ignored at the C level.
    zlimited(YPTS, XPTS) = 1.e300;

    nlevel = 10;
    zmax = max(max(z));
    zmin = min(min(z));
    step = (zmax-zmin)/(nlevel+1);
    clevel = linspace(zmin+step, zmax-step, nlevel)';

    for k=1:2
      for ifshade=0:4

	pladv(0);
	plvpor(0.0, 1.0, 0.0, 0.9);
	plwind(-1.0, 1.0, -0.9, 1.1);
	plcol0(3);
	plmtex("t", 1.0, 0.5, 0.5, deblank(title(k,:)));
	plcol0(1);
	if (rosen)
          plw3d(1.0, 1.0, 1.0, -1.5, 1.5, -0.5, 1.5, zmin, zmax, alt(k), az(k));
	else
	  plw3d(1.0, 1.0, 1.0, -1.0, 1.0, -1.0, 1.0, zmin, zmax, alt(k), az(k));
	endif

	plbox3("bnstu", "x axis", 0.0, 0,
	       "bnstu", "y axis", 0.0, 0,
	       "bcdmnstuv", "z axis", 0.0, 0);
	plcol0(2);

	switch(ifshade)
	  case 0
	    cmap1_init(1);
	    plsurf3d(x', y', z', 0, 0);
	  case 1
	    cmap1_init(0);
	    plsurf3d(x', y', z', MAG_COLOR, 0);
	  case 2
	    plsurf3d(x', y', z', MAG_COLOR + FACETED, 0);
	  case 3
	    plsurf3d(x', y', z', MAG_COLOR + SURF_CONT + BASE_CONT, clevel);
	  case 4
	    plsurf3dl(x', y', z', MAG_COLOR + SURF_CONT + BASE_CONT, clevel, indexxmin, indexymin', indexymax');
	endswitch
      endfor
    endfor
    plend1();
  endfunction

ix08c