/usr/share/doc/libplplot11/examples/ocaml/x16.ml is in libplplot-dev 5.9.9-2ubuntu2.
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plshade demo, using color fill.
Maurice LeBrun
IFS, University of Texas at Austin
20 Mar 1994
*)
open Plplot
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 in
let cont_color = 0 in
let cont_width = 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;
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;
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;
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 false;
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;
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;
(* 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 ();
()
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