(* $Id: x16.ml 12639 2013-10-29 00:18:45Z hezekiahcarty $

        plshade demo, using color fill.

        Maurice LeBrun
        IFS, University of Texas at Austin
        20 Mar 1994
*)

open Plplot

let colorbar ?color ?contour values =
  (* Smaller text *)
  plschr 0.0 0.75;
  (* Small ticks on the vertical axis *)
  plsmaj 0.0 0.5;
  plsmin 0.0 0.5;

  let axis =
    [
      `frame0;
      `frame1;
      `vertical_label;
      `unconventional_label;
      `major_ticks;
    ]
  in
  let shade = Plot.shade_colorbar ~custom:true ~axis values in
  let pos = Plot.viewport_pos ~inside:false 0.005 0.0 in
  Plot.plot [
    Plot.colorbar ?color ?contour ~orient:(`top (0.0375, 0.875)) ~label:[`bottom "Magnitude"] ~pos shade;
  ];

  (* Reset text and tick sizes *)
  plschr 0.0 1.0;
  plsmaj 0.0 1.0;
  plsmin 0.0 1.0

let pi = atan 1.0 *. 4.0

(* Fundamental settings.  See notes[] for more info. *)

let ns = 20             (* Default number of shade levels *)
let nx = 35             (* Default number of data points in x *)
let ny = 46             (* Default number of data points in y *)
let exclude = false     (* By default do not plot a page illustrating
                           exclusion. *)

(* polar plot data *)
let perimeterpts = 100

(* Transformation function *)
let mypltr x y tr =
  tr.(0) *. x +. tr.(1) *. y +. tr.(2),
  tr.(3) *. x +. tr.(4) *. y +. tr.(5)

let zdefined x y =
  let z = sqrt (x *. x +. y *. y) in
  if z < 0.4 || z > 0.6 then 1 else 0

(*--------------------------------------------------------------------------*\
 * f2mnmx
 *
 * Returns min & max of input 2d array.
\*--------------------------------------------------------------------------*)
let f2mnmx f =
  let fmax = ref f.(0).(0) in
  let fmin = ref f.(0).(0) in
  for i = 0 to Array.length f - 1 do
    for j = 0 to Array.length f.(i) - 1 do
      fmax := max !fmax f.(i).(j);
      fmin := min !fmin f.(i).(j);
    done
  done;
  !fmin, !fmax

(*--------------------------------------------------------------------------*\
 * Does several shade plots using different coordinate mappings.
\*--------------------------------------------------------------------------*)
let () =
  let fill_width = 2.0 in
  let cont_color = 0 in
  let cont_width = 0.0 in

  (* Parse and process command line arguments *)
  plparseopts Sys.argv [PL_PARSE_FULL];

  (* Load color palettes *)
  plspal0 "cmap0_black_on_white.pal";
  plspal1 "cmap1_gray.pal" true;

  (* Reduce colors in cmap 0 so that cmap 1 is useful on a 16-color display *)
  plscmap0n 3;

  (* Initialize plplot *)
  plinit ();

  (* Set up transformation function *)
  let tr =
    [|
      2.0 /. float_of_int (nx - 1); 0.0; -1.0;
      0.0; 2.0 /. float_of_int (ny-1); -1.0;
    |]
  in

  (* Set up data arrays *)
  let z = Array.make_matrix nx ny 0.0 in
  let w = Array.make_matrix nx ny 0.0 in
  for i = 0 to nx - 1 do
    let x = float_of_int (i - (nx / 2)) /. float_of_int (nx / 2) in
    for j = 0 to ny - 1 do
      let y = float_of_int (j - (ny / 2)) /. float_of_int (ny / 2) -. 1.0 in
      z.(i).(j) <- -. sin (7.0 *. x) *. cos (7.0 *. y) +. x *. x -. y *. y;
      w.(i).(j) <- -. cos (7.0 *. x) *. sin (7.0 *. y) +. 2.0 *. x *. y;
    done
  done;

  let zmin, zmax = f2mnmx z in
  let clevel =
    Array.init ns (
      fun i ->
        zmin +. (zmax -. zmin) *. (float_of_int i +. 0.5) /. float_of_int ns
    )
  in
  let shedge =
    Array.init (ns + 1) (
      fun i ->
        zmin +. (zmax -. zmin) *. float_of_int i /. float_of_int ns
    )
  in

  (* Set up coordinate grids *)
  let xg1 = Array.make nx 0.0 in
  let yg1 = Array.make ny 0.0 in
  let xg2 = Array.make_matrix nx ny 0.0 in
  let yg2 = Array.make_matrix nx ny 0.0 in

  for i = 0 to nx - 1 do
    for j = 0 to ny - 1 do
      let x, y = mypltr (float_of_int i) (float_of_int j) tr in

      let argx = x *. pi /. 2.0 in
      let argy = y *. pi /. 2.0 in
      let distort = 0.4 in

      xg1.(i) <- x +. distort *. cos argx;
      yg1.(j) <- y -. distort *. cos argy;

      xg2.(i).(j) <- x +. distort *. cos argx *. cos argy;
      yg2.(i).(j) <- y -. distort *. cos argx *. cos argy;
    done
  done;

  (* Plot using identity transform *)
  pladv 0;
  plvpor 0.1 0.9 0.1 0.9;
  plwind (-1.0) 1.0 (-1.0) 1.0;

  plpsty 0;

  plshades z (-1.0) 1.0 (-1.0) 1.0 shedge fill_width cont_color cont_width true;

  colorbar shedge;

  plcol0 1;
  plbox "bcnst" 0.0 0 "bcnstv" 0.0 0;
  plcol0 2;
  pllab "distance" "altitude" "Bogon density";

  (* Plot using 1d coordinate transform *)

  (* Load color palettes *)
  plspal0 "cmap0_black_on_white.pal";
  plspal1 "cmap1_blue_yellow.pal" true;

  pladv 0;
  plvpor 0.1 0.9 0.1 0.9;
  plwind (-1.0) 1.0 (-1.0) 1.0;

  plpsty 0;

  plset_pltr (pltr1 xg1 yg1);
  plshades z (-1.0) 1.0 (-1.0) 1.0 shedge fill_width cont_color cont_width true;

  colorbar shedge;

  plcol0 1;
  plbox "bcnst" 0.0 0 "bcnstv" 0.0 0;
  plcol0 2;
  pllab "distance" "altitude" "Bogon density";

  (* Plot using 2d coordinate transform *)

  (* Load color palettes *)
  plspal0 "cmap0_black_on_white.pal";
  plspal1 "cmap1_blue_red.pal" true;

  pladv 0;
  plvpor 0.1 0.9 0.1 0.9;
  plwind (-1.0) 1.0 (-1.0) 1.0;

  plpsty 0;

  plset_pltr (pltr2 xg2 yg2);
  plshades
    z (-1.0) 1.0 (-1.0) 1.0 shedge fill_width cont_color cont_width false;

  colorbar shedge;

  plcol0 1;
  plbox "bcnst" 0.0 0 "bcnstv" 0.0 0;
  plcol0 2;
  plcont w 1 nx 1 ny clevel;

  pllab "distance" "altitude" "Bogon density, with streamlines";

  (* Plot using 2d coordinate transform *)

  (* Load color palettes *)
  plspal0 "";
  plspal1 "" true;

  pladv 0;
  plvpor 0.1 0.9 0.1 0.9;
  plwind (-1.0) 1.0 (-1.0) 1.0;

  plpsty 0;

  plshades z (-1.0) 1.0 (-1.) 1.0 shedge fill_width 2 3.0 false;

  colorbar ~color:(`index 2) ~contour:(`index 2, 3.0) shedge;

  plcol0 1;
  plbox "bcnst" 0.0 0 "bcnstv" 0.0 0;
  plcol0 2;

  pllab "distance" "altitude" "Bogon density";

  (* Note this exclusion API will probably change. *)

  (* Plot using 2d coordinate transform and exclusion*)
  if exclude then (
    pladv 0;
    plvpor 0.1 0.9 0.1 0.9;
    plwind (-1.0) 1.0 (-1.0) 1.0;

    plpsty 0;

    plset_defined zdefined;
    plshades
      z (-1.0) 1.0 (-1.0) 1.0 shedge fill_width cont_color cont_width false;

    colorbar shedge;
    plunset_defined ();

    plcol0 1;
    plbox "bcnst" 0.0 0 "bcnstv" 0.0 0;

    pllab "distance" "altitude" "Bogon density with exclusion";
  );
  (* Example with polar coordinates. *)

  (* Load colour palettes*)
  plspal0 "cmap0_black_on_white.pal";
  plspal1 "cmap1_gray.pal" true;

  pladv 0;
  plvpor 0.1 0.9 0.1 0.9;
  plwind (-1.0) 1.0 (-1.0) 1.0;
  plpsty 0;

  (* Build new coordinate matrices. *)
  for i = 0 to nx - 1 do
    let r = float_of_int i /. float_of_int (nx - 1) in
    for j = 0 to ny - 1 do
      let t = (2.0 *. pi /. (float_of_int ny -. 1.0)) *. float_of_int j in
      xg2.(i).(j) <- r *. cos t;
      yg2.(i).(j) <- r *. sin t;
      z.(i).(j) <- exp (~-.r *. r) *. cos (5.0 *. pi *. r) *. cos (5.0 *. t);
    done
  done;

  (* Need a new shedge to go along with the new data set. *)
  let zmin, zmax = f2mnmx z in

  let shedge =
    Array.init (ns + 1) (
      fun i ->
        zmin +. (zmax -. zmin) *. float_of_int i /. float_of_int ns
    )
  in

  (*  Now we can shade the interior region. *)
  plshades
    z (-1.0) 1.0 (-1.0) 1.0 shedge fill_width cont_color cont_width false;

  colorbar shedge;

  (* Now we can draw the perimeter.  (If do before, shade stuff may overlap.) *)
  let px = Array.make perimeterpts 0.0 in
  let py = Array.make perimeterpts 0.0 in
  for i = 0 to perimeterpts - 1 do
    let t = (2.0 *. pi /. float_of_int (perimeterpts - 1)) *. float_of_int i in
    px.(i) <- cos t;
    py.(i) <- sin t;
  done;
  plcol0 1;
  plline px py;

  (* And label the plot.*)
  plcol0 2;
  pllab "" "" "Tokamak Bogon Instability";

  (* Clean up *)
  plend ();
  ()

