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perlin.cpp
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2009-01-28
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/*
* atanks - obliterate each other with oversize weapons
* Copyright (C) 2003 Thomas Hudson
*
* This program 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; either version 2
* of the License, or (at your option) any later version.
*
* This program 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.
* */
/*@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
perlin.cc
Provides noise and interpolation functionality, as prototyped in main.h
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@*/
#include "main.h"
/*****************************************************************************
Noise, Noise2D
A floating point pseudorandom number generator. Given a seed input value,
returns a randomized double in the range [-1.0,+1.0] . Maintains no state.
Noise2D requires and uses two integer parameters.
*****************************************************************************/
double Noise (int x)
{
x = (x<<13) ^ x;
return ( 1.0 - ((x * (x * x * 15731 + 789221) + 1376312589) & 0x7fffffff)
/ 1073741824.0);
}
double Noise2D (int x, int y)
{
int n;
n = x + y * 57;
n = (n << 13) ^ n;
return ( 1.0 - ( (n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff)
/ 1073741824.0);
}
/*****************************************************************************
interpolate
Performs a cosine interpolation between two points. Given two y values
and a distance between them, return the interpolated y. x1 and x2 are the y
values (sorry, it's the best I could explain it). i is the distance,
expressed as a percentage of the wave length, ie 0<=i<1 .
*****************************************************************************/
/*
double interpolate (double x1, double x2, double i)
{
double ft = i * M_PI;
double f = (1 - cos(ft)) * 0.5;
return (x1 * (1 - f) + (x2 * f));
}
*/
double interpolate (double x1, double x2, double i)
{
double ft = i * M_PI;
double f = (1 - cos(ft)) * 0.5;
double result = (x1 * (1 - f) + (x2 * f));
if (isnan(x1)||isnan(x2))
return 0.0;
if (isnan(result))
return (x1+x2)/2.0; /* fall back to linear interpolation */
return result;
}
/*
*
* For a really good explanation of perlin noise (and where most of this
* perlin code was adapted from) see:
*
* http://freespace.virgin.net/hugo.elias/models/m_perlin.htm
*
* It must be good because I understood it <:-)
*
* - Tom Hudson
*
*/
double perlin2DPoint (double amplitude, double scale, double xo, double yo,
double lambda, int octaves)
{
double maxH = 0;
double h = 0;
for (int iteration = 1; iteration <= octaves; iteration++)
{
double zoom = scale / (iteration * iteration);
double fractX = xo / zoom;
double fractY = yo / zoom;
double h1 = Noise2D ((int)fractX, (int)fractY);
double h2 = Noise2D ((int)fractX + 1, (int)fractY);
double h3 = Noise2D ((int)fractX, (int)fractY + 1);
double h4 = Noise2D ((int)fractX + 1, (int)fractY + 1);
double xi = fractX - (int)fractX;
double yi = fractY - (int)fractY;
double i1 = interpolate (h1, h2, xi);
double i2 = interpolate (h3, h4, xi);
double i3 = interpolate (i1, i2, yi);
h += amplitude * i3;
maxH += amplitude;
amplitude *= lambda;
}
// Normalised
return (h / maxH);
}
double perlin1DPoint (double amplitude, double scale, double xo,
double lambda, int octaves)
{
double maxH = 0;
double h = 0;
for (int iteration = 1; iteration <= octaves; iteration++)
{
double zoom = scale / (iteration * iteration);
double fractX = xo / zoom;
double h1 = Noise ((int)fractX);
double h2 = Noise ((int)fractX + 1);
double i = fractX - (int)fractX;
h += amplitude * interpolate (h1, h2, i);
maxH += amplitude;
amplitude *= lambda;
}
// Normalised
return (h / maxH);
}