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-- 3-d plot demo.
-- Copyright (C) 2008-2016 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 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
with
Ada.Strings.Unbounded,
Ada.Numerics,
Ada.Numerics.Long_Elementary_Functions,
PLplot_Auxiliary,
PLplot_Standard;
use
Ada.Strings.Unbounded,
Ada.Numerics,
Ada.Numerics.Long_Elementary_Functions,
PLplot_Auxiliary,
PLplot_Standard;
procedure xstandard08a is
-- 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 : Integer := 35;
YPTS : Integer := 45;
x : Real_Vector(0 .. XPTS - 1);
y : Real_Vector(0 .. YPTS - 1);
z : Real_Matrix(0 .. XPTS - 1, 0 .. YPTS - 1);
z_row_major : Real_Vector(0 .. XPTS * YPTS - 1); -- Guess at the actual dimensions since
z_col_major : Real_Vector(0 .. XPTS * YPTS - 1); -- C doesn't give a clue.
dx : Long_Float := 2.0 / Long_Float(XPTS - 1);
dy : Long_Float := 2.0 / Long_Float(YPTS - 1);
xx, yy, r : Long_Float;
zmin, zmax, step : Long_Float;
LEVELS : Integer := 10;
clevel: Real_Vector(0 .. LEVELS - 1);
nlevel : Integer := LEVELS;
indexxmin : Integer := 0;
indexxmax : Integer := XPTS;
indexymin : Integer_Array_1D(0 .. XPTS - 1);
indexymax : Integer_Array_1D(0 .. XPTS - 1);
zlimited : Real_Matrix(0 .. XPTS - 1, 0 .. YPTS - 1);
-- Parameters of ellipse (in x, y index coordinates) that limits the data.
-- x0, y0 correspond to the exact floating point centre of the index range.
x0 : Long_Float := 0.5 * Long_Float(XPTS - 1);
a : Long_Float := 0.9 * x0;
y0 : Long_Float := 0.5 * Long_Float(YPTS - 1);
b : Long_Float := 0.7 * y0;
square_root : Long_Float;
sombrero : Boolean := True; -- Edit this to choose sombrero or Rosenbrock function.
rosen : Boolean := not sombrero; -- Toggle Rosenbrock according to sombrero.
alt : Real_Vector(0 .. 1) := (60.0, 40.0);
az : Real_Vector(0 .. 1) := (30.0, -30.0);
title : array(0 .. 1) of Unbounded_String :=
(TUB("#frPLplot Example 8 - Alt=60, Az=30"),
TUB("#frPLplot Example 8 - Alt=40, Az=-30"));
------------------------------------------------------------------------------
-- cmap1_init1
-- Initializes color map 1 in HLS space.
-- Basic grayscale variation from half-dark (which makes more interesting
-- looking plot compared to dark) to light.
-- An interesting variation on this:
-- s[1] = 1.0
----------------------------------------------------------------------------
procedure cmap1_init(gray : Boolean) is
i, h, l, s : Real_Vector(0 .. 1);
begin
i(0) := 0.0; -- left boundary
i(1) := 1.0; -- right boundary
if gray then
h(0) := 0.0; -- hue -- low: red (arbitrary if s=0)
h(1) := 0.0; -- hue -- high: red (arbitrary if s=0)
l(0) := 0.5; -- lightness -- low: half-dark
l(1) := 1.0; -- lightness -- high: light
s(0) := 0.0; -- minimum saturation
s(1) := 0.0; -- minimum saturation
else
h(0) := 240.0; -- blue -> green -> yellow ->
h(1) := 0.0; -- -> red
l(0) := 0.6;
l(1) := 0.6;
s(0) := 0.8;
s(1) := 0.8;
end if;
Set_Number_Of_Colors_In_Color_Map_1(256);
Set_Color_Map_1_Piecewise(HLS, i, h, l, s, Alt_Hue_Path_None);
end cmap1_init;
begin
-- Parse and process command line arguments
Parse_Command_Line_Arguments(Parse_Full);
-- Chose sombrero or rosen in declarations, above.
-- Initialize plplot
Initialize_PLplot;
for i in x'range loop
-- x(i) := Long_Float(i - XPTS / 2) / Long_Float(XPTS / 2);
x(i) := -1.0 + Long_Float(i) * dx;
if rosen then
x(i) := x(i) * 1.5;
end if;
end loop;
for j in y'range loop
-- y(i) := Long_Float(i - YPTS / 2) / Long_Float(YPTS / 2);
y(j) := -1.0 + Long_Float(j) * dy;
if rosen then
y(j) := y(j) + 0.5;
end if;
end loop;
for i in x'range loop
xx := x(i);
for j in y'range loop
yy := y(j);
if rosen then
z(i, j) := (1.0 - xx) * (1.0 - xx) + 100.0 * (yy - (xx * xx)) * (yy - (xx * xx));
-- The log argument might be zero for just the right grid.
if z(i, j) > 0.0 then
z(i, j) := log(z(i, j));
else
z(i, j) := -5.0; -- -MAXFLOAT would mess-up up the scale
end if;
else -- Sombrero
r := sqrt(xx * xx + yy * yy);
z(i, j) := exp(-r * r) * cos(2.0 * pi * r);
end if;
z_row_major(i * YPTS + j) := z(i, j);
z_col_major(i + XPTS * j) := z(i, j);
end loop; -- j
end loop; -- i
for i in indexxmin .. indexxmax - 1 loop
square_root := sqrt( 1.0 - Long_Float'Min(1.0, ((Long_Float(i) - x0) / a)**2));
-- Add 0.5 to find nearest integer and therefore preserve symmetry
-- with regard to lower and upper bound of y range.
-- Ada note: Trunc() is in plplot_auxiliary.adb.
indexymin(i) := Integer'Max(0, Trunc(0.5 + y0 - b * square_root ));
-- indexymax calculated with the convention that it is 1
-- greater than highest valid index.
indexymax(i) := Integer'Min(YPTS, 1 + Trunc(0.5 + y0 + b * square_root));
for j in indexymin(i) .. indexymax(i) - 1 loop
zlimited(i, j) := z(i, j);
end loop;
end loop;
zmin := Matrix_Min(z);
zmax := Matrix_Max(z);
step := (zmax - zmin) / Long_Float(nlevel + 1);
for i in clevel'range loop
clevel(i) := zmin + step + step * Long_Float(i);
end loop;
Set_Light_Source(1.0, 1.0, 1.0);
for k in alt'range loop
for ifshade in 0 .. 4 loop
Advance_To_Subpage(Next_Subpage);
Set_Viewport_Normalized(0.0, 1.0, 0.0, 0.9);
Set_Viewport_World(-1.0, 1.0, -0.9, 1.1);
Set_Pen_Color(Green);
Write_Text_Viewport("t", 1.0, 0.5, 0.5, To_String(title(k)));
Set_Pen_Color(Red);
if rosen then
Set_Up_3D(1.0, 1.0, 1.0, -1.5, 1.5, -0.5, 1.5, zmin, zmax, alt(k), az(k));
else
Set_Up_3D(1.0, 1.0, 1.0, -1.0, 1.0, -1.0, 1.0, zmin, zmax, alt(k), az(k));
end if;
Box_Around_Viewport_3D("bnstu", "x axis", 0.0, 0,
"bnstu", "y axis", 0.0, 0,
"bcdmnstuv", "z axis", 0.0, 0);
Set_Pen_Color(Yellow);
if ifshade = 0 then -- diffuse light surface plot
cmap1_init(True);
Shaded_Surface_3D(x, y, z, 0, clevel); -- clevel is not used here
elsif ifshade = 1 then -- magnitude colored plot
cmap1_init(False);
Shaded_Surface_3D(x, y, z, MAG_COLOR, clevel);
elsif ifshade = 2 then -- magnitude colored plot with faceted squares
cmap1_init(False);
Shaded_Surface_3D(x, y, z, MAG_COLOR + FACETED, clevel);
elsif ifshade = 3 then -- magnitude colored plot with contours
cmap1_init(False);
Shaded_Surface_3D(x, y, z, MAG_COLOR + SURF_CONT + BASE_CONT, clevel);
else -- magnitude colored plot with contours and index limits
cmap1_init(False);
Shaded_Surface_3D_Non_Rectangular(x, y, zlimited, MAG_COLOR + SURF_CONT + BASE_CONT,
clevel, indexxmin, indexxmax, indexymin, indexymax );
end if;
end loop; -- ifshade
end loop; -- k
End_PLplot;
end xstandard08a;
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