📄 gaussian_landscapes.cpp
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///////////////////////////////////////////////////////////
// //
// SAGA //
// //
// System for Automated Geoscientific Analyses //
// //
// Module Library: //
// Fractals //
// //
//-------------------------------------------------------//
// //
// Gaussian_Landscapes.cpp //
// //
// Copyright (C) 2005 by //
// Olaf Conrad //
// //
//-------------------------------------------------------//
// //
// This file is part of 'SAGA - System for Automated //
// Geoscientific Analyses'. SAGA is free software; you //
// can redistribute it and/or modify it under the terms //
// of the GNU General Public License as published by the //
// Free Software Foundation; version 2 of the License. //
// //
// SAGA 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 General Public //
// License for more details. //
// //
// You should have received a copy of the GNU General //
// Public License along with this program; if not, //
// write to the Free Software Foundation, Inc., //
// 59 Temple Place - Suite 330, Boston, MA 02111-1307, //
// USA. //
// //
//-------------------------------------------------------//
// //
// e-mail: oconrad@saga-gis.org //
// //
// contact: Olaf Conrad //
// Institute of Geography //
// University of Goettingen //
// Goldschmidtstr. 5 //
// 37077 Goettingen //
// Germany //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
#include "Gaussian_Landscapes.h"
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
#define RANDOM(x) (rand() % x)
#define RANDOMIZE() (srand((unsigned int)time(NULL)))
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
CGaussian_Landscapes::CGaussian_Landscapes(void)
{
//-----------------------------------------------------
// 1. Info...
Set_Name(_TL("Gaussian Landscapes"));
Set_Author(_TL("Copyrights (c) 2005 by Olaf Conrad"));
Set_Description (_TW(
"Generates Gaussian landscapes.\n\n"
"References:\n"
"- Halling, H., Moeller, R. (1995): 'Mathematik fuers Auge', Heidelberg, 144p.\n"
"- Mandelbrot, B.B. (1983): 'The Fractal Geometry of Nature', New York, 490p.\n")
);
//-----------------------------------------------------
// 2. Grids...
Parameters.Add_Grid_Output(
NULL , "GRID" , _TL("Grid"),
_TL("")
);
Parameters.Add_Value(
NULL , "NX" , _TL("Width (Cells)"),
_TL(""),
PARAMETER_TYPE_Int, 100, 1, true
);
Parameters.Add_Value(
NULL , "NY" , _TL("Height (Cells)"),
_TL(""),
PARAMETER_TYPE_Int, 100, 1, true
);
Parameters.Add_Value(
NULL , "H" , _TL("Roughness/Smoothness"),
_TL(""),
PARAMETER_TYPE_Double, 0.75, 0.0, true, 1.0, true
);
Parameters.Add_Choice(
NULL , "METHOD" , _TL("Method"),
_TL(""),
CSG_String::Format(SG_T("%s|%s|"),
_TL("Simple"),
_TL("Flattening")
), 0
);
Parameters.Add_Value(
NULL , "M" , _TL("Flattening"),
_TL(""),
PARAMETER_TYPE_Double, 2.0
);
}
//---------------------------------------------------------
CGaussian_Landscapes::~CGaussian_Landscapes(void)
{}
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
bool CGaussian_Landscapes::On_Execute(void)
{
int nx, ny, n;
double h, s, r;
//-----------------------------------------------------
nx = Parameters("NX")->asInt();
ny = Parameters("NY")->asInt();
m_pGrid = SG_Create_Grid(GRID_TYPE_Float, nx, ny, 1.0, 0.0, 0.0);
m_pGrid->Set_Name(_TL("Gaussian Landscape"));
m_pGrid->Assign_NoData();
Parameters("GRID")->Set_Value(m_pGrid);
m_Method = Parameters("METHOD") ->asInt();
m_M = Parameters("M") ->asDouble();
//-----------------------------------------------------
nx = nx > ny ? nx : ny;
ny = 1;
do { n = (int)pow(2.0, ny++); } while( n < nx );
h = Parameters("H") ->asDouble();
r = 1.0 / pow(2.0, h);
s = n * r;
//-----------------------------------------------------
Set_Values(0, 0, n, n, 0.0, 0.0, 0.0, 0.0, s, r);
//-----------------------------------------------------
return( true );
}
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
inline void CGaussian_Landscapes::Set_Value(int x, int y, double Value)
{
if( m_pGrid->is_InGrid(x, y, false) )
{
switch( m_Method )
{
case 0: default:
m_pGrid->Set_Value(x, y, Value);
break;
case 1:
m_pGrid->Set_Value(x, y, pow(Value, m_M));
break;
}
}
}
//---------------------------------------------------------
void CGaussian_Landscapes::Set_Values(int x_0, int y_0, int x_1, int y_1, double z_00, double z_10, double z_11, double z_01, double s, double r)
{
int x_n, y_n;
double z_n, z_n1, z_n2, z_n3, z_n4;
//-----------------------------------------------------
x_n = (x_0 + x_1) / 2;
y_n = (y_0 + y_1) / 2;
z_n = (z_00 + z_10 + z_11 + z_01) / 4.0 + s * (double)(RANDOM(17) - 8) / 8.0;
Set_Value(x_n, y_n, z_n);
//-----------------------------------------------------
if( x_0 != x_n && x_n != x_1 )
{
z_n1 = (z_00 + z_10) / 2.0;
z_n2 = (z_10 + z_11) / 2.0;
z_n3 = (z_11 + z_01) / 2.0;
z_n4 = (z_01 + z_00) / 2.0;
s *= r;
Set_Values(x_n, y_0, x_1, y_n, z_n1, z_10, z_n2, z_n , s, r);
Set_Values(x_0, y_0, x_n, y_n, z_00, z_n1, z_n , z_n4, s, r);
Set_Values(x_n, y_n, x_1, y_1, z_n , z_n2, z_11, z_n3, s, r);
Set_Values(x_0, y_n, x_n, y_1, z_n4, z_n , z_n3, z_01, s, r);
}
}
///////////////////////////////////////////////////////////
// //
// //
// //
///////////////////////////////////////////////////////////
//---------------------------------------------------------
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