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-- $Id: xthick27a.adb.cmake 9378 2009-01-23 09:13:27Z jbauck $
-- Drawing "spirograph" curves - epitrochoids, cycolids, roulettes
-- Copyright (C) 2008 Jerry Bauck
-- This file is part of PLplot.
-- PLplot is free software; you can redistribute it and/or modify
-- it under the terms of the GNU General Library 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
with
Ada.Numerics.Long_Elementary_Functions,
PLplot_Auxiliary,
PLplot;
use
Ada.Numerics.Long_Elementary_Functions,
PLplot_Auxiliary,
PLplot;
@Ada_Is_2007_With_and_Use_Numerics@
------------------------------------------------------------------------------
-- Generates two kinds of plots:
-- - construction of a cycloid (animated)
-- - series of epitrochoids and hypotrochoids
------------------------------------------------------------------------------
procedure xthick27a is
-- R, r, p, N
params : Real_Matrix(0 .. 8, 0 .. 3) :=
((21.0, 7.0, 7.0, 3.0),
(21.0, 7.0, 10.0, 3.0),
(21.0, -7.0, 10.0, 3.0),
(20.0, 3.0, 7.0, 20.0),
(20.0, 3.0, 10.0, 20.0),
(20.0, -3.0, 10.0, 20.0),
(20.0, 13.0, 7.0, 20.0),
(20.0, 13.0, 20.0, 20.0),
(20.0,-13.0, 20.0, 20.0));
procedure spiro(params : Real_Matrix; row : Integer) is
NPNT : constant Integer := 20000;
xcoord, ycoord : Real_Vector(0 .. 20000);
windings : Integer;
steps : Integer;
phi : Long_Float;
phiw : Long_Float;
dphi : Long_Float;
xmin : Long_Float;
xmax : Long_Float;
ymin : Long_Float;
ymax : Long_Float;
scale : Long_Float;
begin
-- Fill the coordinates
windings := Integer(params(row, 3));
steps := NPNT / windings;
dphi := 8.0 * arccos(-1.0) / Long_Float(steps);
xmin := 0.0; -- This initialisation is safe!
xmax := 0.0;
ymin := 0.0;
ymax := 0.0;
for i in 0 .. windings * steps loop
phi := Long_Float(i) * dphi;
phiw := (params(row, 0) - params(row, 1)) / params(row, 1) * phi;
xcoord(i) := (params(row, 0) - params(row, 1)) * cos(phi) + params(row, 2) * cos(phiw);
ycoord(i) := (params(row, 0) - params(row, 1)) * sin(phi) - params(row, 2) * sin(phiw);
if xmin > xcoord(i) then xmin := xcoord(i); end if;
if xmax < xcoord(i) then xmax := xcoord(i); end if;
if ymin > ycoord(i) then ymin := ycoord(i); end if;
if ymax < ycoord(i) then ymax := ycoord(i); end if;
end loop;
if xmax - xmin > ymax - ymin then
scale := xmax - xmin;
else
scale := ymax - ymin;
end if;
xmin := - 0.65 * scale;
xmax := 0.65 * scale;
ymin := - 0.65 * scale;
ymax := 0.65 * scale;
Set_Viewport_World(xmin, xmax, ymin, ymax);
Set_Pen_Color(Red);
declare
xcoord_local, ycoord_local : Real_Vector(0 .. steps * windings);
begin
xcoord_local := xcoord(0 .. steps * windings);
ycoord_local := ycoord(0 .. steps * windings);
Draw_Curve(xcoord_local, ycoord_local);
end;
end spiro;
procedure cycloid is
begin
null; -- TODO
end cycloid;
begin
-- Parse and process command line arguments
Parse_Command_Line_Arguments(Parse_Full);
-- Initialize plplot
Initialize_PLplot;
-- Illustrate the construction of a cycloid
cycloid;
-- Loop over the various curves.
-- First an overview, then all curves one by one
Set_Number_Of_Subpages(3, 3) ; -- Three by three window
for i in params'range(1) loop
Advance_To_Subpage(Next_Subpage);
Set_Viewport_Normalized( 0.0, 1.0, 0.0, 1.0 );
spiro(params, i);
end loop;
Advance_To_Subpage(Next_Subpage) ;
Set_Number_Of_Subpages(1, 1) ; -- One window per curve
for i in params'range(1) loop
Advance_To_Subpage(Next_Subpage) ;
Set_Viewport_Normalized( 0.0, 1.0, 0.0, 1.0 ) ;
spiro(params, i);
end loop;
-- Don't forget to call End_PLplot to finish off!
End_PLplot;
end xthick27a;
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