/usr/share/doc/libplplot12/examples/ocaml/x28.ml is in libplplot-dev 5.10.0+dfsg-1.
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plmtex3, plptex3 demo.
Copyright (C) 2007 Alan W. Irwin
Copyright (C) 2008, 2010 Hezekiah M. Carty
This file is part of PLplot.
PLplot is free software; you can redistribute it and/or modify
it under the terms of the GNU Library General Public License as published
by the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
PLplot 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 Library General Public License for more details.
You should have received a copy of the GNU Library General Public License
along with PLplot; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*)
open Plplot
let pi = atan 1.0 *. 4.0
(* Choose these values to correspond to tick marks. *)
let xpts = 2
let ypts = 2
let nrevolution = 16
let nrotation = 8
let nshear = 8
(*--------------------------------------------------------------------------*\
* Demonstrates plotting text in 3D.
\*--------------------------------------------------------------------------*)
let () =
let xmin = 0.0 in
let xmax = 1.0 in
let xmid = 0.5 *. (xmax +. xmin) in
let xrange = xmax -. xmin in
let ymin = 0.0 in
let ymax = 1.0 in
let ymid = 0.5 *. (ymax +. ymin) in
let yrange = ymax -. ymin in
let zmin = 0.0 in
let zmax = 1.0 in
let zmid = 0.5 *. (zmax +. zmin) in
let zrange = zmax -. zmin in
let ysmin = ymin +. 0.1 *. yrange in
let ysmax = ymax -. 0.1 *. yrange in
let ysrange = ysmax -. ysmin in
let dysrot = ysrange /. float_of_int (nrotation - 1) in
let dysshear = ysrange /. float_of_int (nshear - 1) in
let zsmin = zmin +. 0.1 *. zrange in
let zsmax = zmax -. 0.1 *. zrange in
let zsrange = zsmax -. zsmin in
let dzsrot = zsrange /. float_of_int (nrotation - 1) in
let dzsshear = zsrange /. float_of_int (nshear - 1) in
let pstring =
"The future of our civilization depends on software freedom."
in
(* Allocate and define the minimal x, y, and z to insure 3D box *)
let x =
Array.init xpts (
fun i ->
xmin +. float_of_int i *. (xmax -. xmin) /. float_of_int (xpts - 1)
)
in
let y =
Array.init ypts (
fun j ->
ymin +. float_of_int j *. (ymax -. ymin) /. float_of_int (ypts - 1)
)
in
let z = Array.make_matrix xpts ypts 0.0 in
(* Parse and process command line arguments *)
plparseopts Sys.argv [PL_PARSE_FULL];
plinit ();
(* Page 1: Demonstrate inclination and shear capability pattern. *)
pladv 0;
plvpor (-0.15) 1.15 (-0.05) 1.05;
plwind (-1.2) 1.2 (-0.8) 1.5;
plw3d 1.0 1.0 1.0 xmin xmax ymin ymax zmin zmax 20.0 45.0;
plcol0 2;
plbox3 "b" "" (xmax -. xmin) 0
"b" "" (ymax -. ymin) 0
"bcd" "" (zmax -. zmin) 0;
plschr 0.0 1.0;
for i = 0 to nrevolution - 1 do
let omega = 2.0 *. pi *. float_of_int i /. float_of_int nrevolution in
let sin_omega = sin omega in
let cos_omega = cos omega in
let x_inclination = 0.5 *. xrange *. cos_omega in
let y_inclination = 0.5 *. yrange *. sin_omega in
let z_inclination = 0.0 in
let x_shear = -0.5 *. xrange *. sin_omega in
let y_shear = 0.5 *. yrange *. cos_omega in
let z_shear = 0.0 in
plptex3
xmid ymid zmin
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.0 " revolution";
done;
plschr 0.0 1.0;
for i = 0 to nrevolution - 1 do
let omega = 2.0 *. pi *. float_of_int i /. float_of_int nrevolution in
let sin_omega = sin omega in
let cos_omega = cos omega in
let x_inclination = 0.0 in
let y_inclination = -0.5 *. yrange *. cos_omega in
let z_inclination = 0.5 *. zrange *. sin_omega in
let x_shear = 0.0 in
let y_shear = 0.5 *. yrange *. sin_omega in
let z_shear = 0.5 *. zrange *. cos_omega in
plptex3
xmax ymid zmid
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.0 " revolution";
done;
plschr 0.0 1.0;
for i = 0 to nrevolution - 1 do
let omega = 2.0 *. pi *. float_of_int i /. float_of_int nrevolution in
let sin_omega = sin omega in
let cos_omega = cos omega in
let x_inclination = 0.5 *. xrange *. cos_omega in
let y_inclination = 0.0 in
let z_inclination = 0.5 *. zrange *. sin_omega in
let x_shear = -0.5 *. xrange *. sin_omega in
let y_shear = 0.0 in
let z_shear = 0.5 *. zrange *. cos_omega in
plptex3
xmid ymax zmid
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.0 " revolution";
done;
(* Draw minimal 3D grid to finish defining the 3D box. *)
plmesh x y z [PL_DRAW_LINEXY];
(* Page 2: Demonstrate rotation of string around its axis. *)
pladv 0;
plvpor (-0.15) 1.15 (-0.05) 1.05;
plwind (-1.2) 1.2 (-0.8) 1.5;
plw3d 1.0 1.0 1.0 xmin xmax ymin ymax zmin zmax 20.0 45.0;
plcol0 2;
plbox3 "b" "" (xmax -. xmin) 0
"b" "" (ymax -. ymin) 0
"bcd" "" (zmax -. zmin) 0;
plschr 0.0 1.0;
let x_inclination = 1.0 in
let y_inclination = 0.0 in
let z_inclination = 0.0 in
let x_shear = 0.0 in
for i = 0 to nrotation - 1 do
let omega = 2.0 *. pi *. float_of_int i /. float_of_int nrotation in
let sin_omega = sin omega in
let cos_omega = cos omega in
let y_shear = 0.5 *. yrange *. sin_omega in
let z_shear = 0.5 *. zrange *. cos_omega in
let zs = zsmax -. dzsrot *. float_of_int i in
plptex3
xmid ymax zs
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.5 "rotation for y = y#dmax#u";
done;
plschr 0.0 1.0;
let x_inclination = 0.0 in
let y_inclination = -1.0 in
let z_inclination = 0.0 in
let y_shear = 0.0 in
for i = 0 to nrotation - 1 do
let omega = 2.0 *. pi *. float_of_int i /. float_of_int nrotation in
let sin_omega = sin omega in
let cos_omega = cos omega in
let x_shear = 0.5 *. xrange *. sin_omega in
let z_shear = 0.5 *. zrange *. cos_omega in
let zs = zsmax -. dzsrot *. float_of_int i in
plptex3
xmax ymid zs
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.5 "rotation for x = x#dmax#u";
done;
plschr 0.0 1.0;
let x_inclination = 1.0 in
let y_inclination = 0.0 in
let z_inclination = 0.0 in
let x_shear = 0.0 in
for i = 0 to nrotation - 1 do
let omega = 2.0 *. pi *. float_of_int i /. float_of_int nrotation in
let sin_omega = sin omega in
let cos_omega = cos omega in
let y_shear = 0.5 *. yrange *. cos_omega in
let z_shear = 0.5 *. zrange *. sin_omega in
let ys = ysmax -. dysrot *. float_of_int i in
plptex3
xmid ys zmin
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.5 "rotation for z = z#dmin#u";
done;
(* Draw minimal 3D grid to finish defining the 3D box. *)
plmesh x y z [PL_DRAW_LINEXY];
(* Page 3: Demonstrate shear of string along its axis. *)
(* Work around xcairo and pngcairo (but not pscairo) problems for
shear vector too close to axis of string. (N.B. no workaround
would be domega = 0.) *)
let domega = 0.05 in
pladv 0;
plvpor (-0.15) 1.15 (-0.05) 1.05;
plwind (-1.2) 1.2 (-0.8) 1.5;
plw3d 1.0 1.0 1.0 xmin xmax ymin ymax zmin zmax 20.0 45.0;
plcol0 2;
plbox3 "b" "" (xmax -. xmin) 0
"b" "" (ymax -. ymin) 0
"bcd" "" (zmax -. zmin) 0;
plschr 0.0 1.0;
let x_inclination = 1.0 in
let y_inclination = 0.0 in
let z_inclination = 0.0 in
let y_shear = 0.0 in
for i = 0 to nshear - 1 do
let omega = domega +. 2.0 *. pi *. float_of_int i /. float_of_int nshear in
let sin_omega = sin omega in
let cos_omega = cos omega in
let x_shear = 0.5 *. xrange *. sin_omega in
let z_shear = 0.5 *. zrange *. cos_omega in
let zs = zsmax -. dzsshear *. float_of_int i in
plptex3
xmid ymax zs
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.5 "shear for y = y#dmax#u";
done;
plschr 0.0 1.0;
let x_inclination = 0.0 in
let y_inclination = -1.0 in
let z_inclination = 0.0 in
let x_shear = 0.0 in
for i = 0 to nshear - 1 do
let omega = domega +. 2.0 *. pi *. float_of_int i /. float_of_int nshear in
let sin_omega = sin omega in
let cos_omega = cos omega in
let y_shear = -0.5 *. yrange *. sin_omega in
let z_shear = 0.5 *. zrange *. cos_omega in
let zs = zsmax -. dzsshear *. float_of_int i in
plptex3
xmax ymid zs
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.5 "shear for x = x#dmax#u";
done;
plschr 0.0 1.0;
let x_inclination = 1.0 in
let y_inclination = 0.0 in
let z_inclination = 0.0 in
let z_shear = 0.0 in
for i = 0 to nshear - 1 do
let omega = domega +. 2.0 *. pi *. float_of_int i /. float_of_int nshear in
let sin_omega = sin omega in
let cos_omega = cos omega in
let y_shear = 0.5 *. yrange *. cos_omega in
let x_shear = 0.5 *. xrange *. sin_omega in
let ys = ysmax -. dysshear *. float_of_int i in
plptex3
xmid ys zmin
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.5 "shear for z = z#dmin#u";
done;
(* Draw minimal 3D grid to finish defining the 3D box. *)
plmesh x y z [PL_DRAW_LINEXY];
(* Page 4: Demonstrate drawing a string on a 3D path. *)
pladv 0;
plvpor (-0.15) 1.15 (-0.05) 1.05;
plwind (-1.2) 1.2 (-0.8) 1.5;
plw3d 1.0 1.0 1.0 xmin xmax ymin ymax zmin zmax 40.0 (-30.0);
plcol0 2;
plbox3 "b" "" (xmax -. xmin) 0
"b" "" (ymax -. ymin) 0
"bcd" "" (zmax -. zmin) 0;
plschr 0.0 1.2;
(* domega controls the spacing between the various characters of the
string and also the maximum value of omega for the given number
of characters in pstring. *)
let domega = 2.0 *. pi /. float_of_int (String.length pstring) in
(* 3D function is a helix of the given radius and pitch *)
let radius = 0.5 in
let pitch = 1.0 /. (2.0 *. pi) in
for i = 0 to String.length pstring - 1 do
let omega = 0.0 +. float_of_int i *. domega in
let sin_omega = sin omega in
let cos_omega = cos omega in
let xpos = xmid +. radius *. sin_omega in
let ypos = ymid -. radius *. cos_omega in
let zpos = zmin +. pitch *. omega in
(* In general, the inclination is proportional to the derivative of
the position wrt theta. *)
let x_inclination = radius *. cos_omega in
let y_inclination = radius *. sin_omega in
let z_inclination = pitch in
(* The shear vector should be perpendicular to the 3D line with Z
component maximized, but for low pitch a good approximation is
a constant vector that is parallel to the Z axis. *)
let x_shear = 0.0 in
let y_shear = 0.0 in
let z_shear = 1.0 in
let p1string = String.sub pstring i 1 in
plptex3
xpos ypos zpos
x_inclination y_inclination z_inclination
x_shear y_shear z_shear
0.5 p1string;
done;
(* Draw minimal 3D grid to finish defining the 3D box. *)
plmesh x y z [PL_DRAW_LINEXY];
(* Page 5: Demonstrate plmtex3 axis labelling capability *)
pladv 0;
plvpor (-0.15) 1.15 (-0.05) 1.05;
plwind (-1.2) 1.2 (-0.8) 1.5;
plw3d 1.0 1.0 1.0 xmin xmax ymin ymax zmin zmax 20.0 45.0;
plcol0 2;
plbox3 "b" "" (xmax -. xmin) 0
"b" "" (ymax -. ymin) 0
"bcd" "" (zmax -. zmin) 0;
plschr 0.0 1.0;
plmtex3 "xp" 3.0 0.5 0.5 "Arbitrarily displaced";
plmtex3 "xp" 4.5 0.5 0.5 "primary X-axis label";
plmtex3 "xs" (-2.5) 0.5 0.5 "Arbitrarily displaced";
plmtex3 "xs" (-1.0) 0.5 0.5 "secondary X-axis label";
plmtex3 "yp" 3.0 0.5 0.5 "Arbitrarily displaced";
plmtex3 "yp" 4.5 0.5 0.5 "primary Y-axis label";
plmtex3 "ys" (-2.5) 0.5 0.5 "Arbitrarily displaced";
plmtex3 "ys" (-1.0) 0.5 0.5 "secondary Y-axis label";
plmtex3 "zp" 4.5 0.5 0.5 "Arbitrarily displaced";
plmtex3 "zp" 3.0 0.5 0.5 "primary Z-axis label";
plmtex3 "zs" (-2.5) 0.5 0.5 "Arbitrarily displaced";
plmtex3 "zs" (-1.0) 0.5 0.5 "secondary Z-axis label";
(* Draw minimal 3D grid to finish defining the 3D box. *)
plmesh x y z [PL_DRAW_LINEXY];
(* Clean up. *)
plend ();
()
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