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tdeartwork/kscreensaver/kdesavers/lorenz.cpp

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//-----------------------------------------------------------------------------
//
// Lorenz - Lorenz Attractor screen saver
// Nicolas Brodu, brodu@kde.org, 2000
//
// Portions of code from kblankscrn and khop.
// See authors there.
//
// I release my code as GPL, but see the other headers and the README
#include <math.h>
#include <stdlib.h>
#include <tqpainter.h>
#include <tqslider.h>
#include <tqlayout.h>
#include <tqcolor.h>
#include <tqlabel.h>
#include <kapplication.h>
#include <klocale.h>
#include <kglobal.h>
#include <kconfig.h>
#include <kmessagebox.h>
#include "lorenz.h"
#include "lorenz.moc"
// libkscreensaver interface
extern "C"
{
KDE_EXPORT const char *kss_applicationName = "klorenz.kss";
KDE_EXPORT const char *kss_description = I18N_NOOP( "KLorenz" );
KDE_EXPORT const char *kss_version = "2.2.0";
KDE_EXPORT KScreenSaver *kss_create( WId id )
{
return new KLorenzSaver( id );
}
KDE_EXPORT TQDialog *kss_setup()
{
return new KLorenzSetup();
}
}
#define MINSPEED 1
#define MAXSPEED 1500
#define DEFSPEED 150
#define MINZROT -180
#define MAXZROT 180
#define DEFZROT 104 //100
#define MINYROT -180
#define MAXYROT 180
#define DEFYROT -19 //80
#define MINXROT -180
#define MAXXROT 180
#define DEFXROT 25 //20
#define MINEPOCH 1
#define MAXEPOCH 30000
#define DEFEPOCH 5800
#define MINCOLOR 1
#define MAXCOLOR 100
#define DEFCOLOR 20
//-----------------------------------------------------------------------------
// dialog to setup screen saver parameters
//
KLorenzSetup::KLorenzSetup( TQWidget *parent, const char *name )
: KDialogBase( parent, name, true, i18n( "Setup Lorenz Attractor" ),
Ok|Cancel|Default|Help, Ok, true )
{
readSettings();
setButtonText( Help, i18n( "A&bout" ) );
TQWidget *main = makeMainWidget();
TQHBoxLayout *tl = new TQHBoxLayout( main, 0, spacingHint() );
TQVBoxLayout *tl1 = new QVBoxLayout;
tl->addLayout(tl1);
TQLabel *label = new TQLabel( i18n("Speed:"), main );
tl1->addWidget(label);
sps = new TQSlider(MINSPEED, MAXSPEED, 10, speed, TQSlider::Horizontal, main);
sps->setMinimumSize( 120, 20 );
sps->setTickmarks(TQSlider::Below);
sps->setTickInterval(150);
connect( sps, TQT_SIGNAL( valueChanged( int ) ), TQT_SLOT( slotSpeed( int ) ) );
tl1->addWidget(sps);
label = new TQLabel( i18n("Epoch:"), main );
tl1->addWidget(label);
eps = new TQSlider(MINEPOCH, MAXEPOCH, 100, epoch, TQSlider::Horizontal, main);
eps->setMinimumSize( 120, 20 );
eps->setTickmarks(TQSlider::Below);
eps->setTickInterval(3000);
connect( eps, TQT_SIGNAL( valueChanged( int ) ), TQT_SLOT( slotEpoch( int ) ) );
tl1->addWidget(eps);
label = new TQLabel( i18n("Color rate:"), main );
tl1->addWidget(label);
crs = new TQSlider(MINCOLOR, MAXCOLOR, 5, crate, TQSlider::Horizontal, main);
crs->setMinimumSize( 120, 20 );
crs->setTickmarks(TQSlider::Below);
crs->setTickInterval(10);
connect( crs, TQT_SIGNAL( valueChanged( int ) ), TQT_SLOT( slotCRate( int ) ) );
tl1->addWidget(crs);
label = new TQLabel( i18n("Rotation Z:"), main );
tl1->addWidget(label);
zrs = new TQSlider(MINZROT, MAXZROT, 18, zrot, TQSlider::Horizontal, main);
zrs->setMinimumSize( 120, 20 );
zrs->setTickmarks(TQSlider::Below);
zrs->setTickInterval(36);
connect( zrs, TQT_SIGNAL( valueChanged( int ) ), TQT_SLOT( slotZRot( int ) ) );
tl1->addWidget(zrs);
label = new TQLabel( i18n("Rotation Y:"), main );
tl1->addWidget(label);
yrs = new TQSlider(MINYROT, MAXYROT, 18, yrot, TQSlider::Horizontal, main);
yrs->setMinimumSize( 120, 20 );
yrs->setTickmarks(TQSlider::Below);
yrs->setTickInterval(36);
connect( yrs, TQT_SIGNAL( valueChanged( int ) ), TQT_SLOT( slotYRot( int ) ) );
tl1->addWidget(yrs);
label = new TQLabel( i18n("Rotation X:"), main );
tl1->addWidget(label);
xrs = new TQSlider(MINXROT, MAXXROT, 18, xrot, TQSlider::Horizontal, main);
xrs->setMinimumSize( 120, 20 );
xrs->setTickmarks(TQSlider::Below);
xrs->setTickInterval(36);
connect( xrs, TQT_SIGNAL( valueChanged( int ) ), TQT_SLOT( slotXRot( int ) ) );
tl1->addWidget(xrs);
preview = new TQWidget( main );
preview->setFixedSize( 220, 165 );
preview->setBackgroundColor( black );
preview->show(); // otherwise saver does not get correct size
saver = new KLorenzSaver( preview->winId() );
tl->addWidget(preview);
}
KLorenzSetup::~KLorenzSetup()
{
delete saver;
}
// read settings from config file
void KLorenzSetup::readSettings()
{
KConfig *config = KGlobal::config();
config->setGroup( "Settings" );
speed = config->readNumEntry( "Speed", DEFSPEED );
epoch = config->readNumEntry( "Epoch", DEFEPOCH );
crate = config->readNumEntry( "Color Rate", DEFCOLOR );
zrot = config->readNumEntry( "ZRot", DEFZROT );
yrot = config->readNumEntry( "YRot", DEFZROT );
xrot = config->readNumEntry( "XRot", DEFZROT );
}
void KLorenzSetup::slotSpeed(int num)
{
speed = num;
if (saver) saver->setSpeed(speed);
}
void KLorenzSetup::slotEpoch(int num)
{
epoch = num;
if (saver) saver->setEpoch(epoch);
}
void KLorenzSetup::slotCRate(int num)
{
crate = num;
if (saver) saver->setCRate(crate);
}
void KLorenzSetup::slotZRot(int num)
{
zrot = num;
if (saver) {
saver->setZRot(zrot);
saver->updateMatrix();
saver->newEpoch();
}
}
void KLorenzSetup::slotYRot(int num)
{
yrot = num;
if (saver) {
saver->setYRot(yrot);
saver->updateMatrix();
saver->newEpoch();
}
}
void KLorenzSetup::slotXRot(int num)
{
xrot = num;
if (saver) {
saver->setXRot(xrot);
saver->updateMatrix();
saver->newEpoch();
}
}
void KLorenzSetup::slotHelp()
{
KMessageBox::about(this,i18n("Lorenz Attractor screen saver for KDE\n\nCopyright (c) 2000 Nicolas Brodu"));
}
// Ok pressed - save settings and exit
void KLorenzSetup::slotOk()
{
KConfig *config = KGlobal::config();
config->setGroup( "Settings" );
config->writeEntry( "Speed", speed );
config->writeEntry( "Epoch", epoch );
config->writeEntry( "Color Rate", crate );
config->writeEntry( "ZRot", zrot );
config->writeEntry( "YRot", yrot );
config->writeEntry( "XRot", xrot );
config->sync();
accept();
}
void KLorenzSetup::slotDefault()
{
speed = DEFSPEED;
epoch = DEFEPOCH;
crate = DEFCOLOR;
zrot = DEFZROT;
yrot = DEFYROT;
xrot = DEFXROT;
if (saver) {
saver->setSpeed(speed);
saver->setEpoch(epoch);
saver->setCRate(crate);
saver->setZRot(zrot);
saver->setYRot(yrot);
saver->setXRot(xrot);
saver->updateMatrix();
saver->newEpoch();
}
sps->setValue(speed);
eps->setValue(epoch);
crs->setValue(crate);
zrs->setValue(zrot);
yrs->setValue(yrot);
xrs->setValue(xrot);
/* // User can cancel, or save defaults?
KConfig *config = KGlobal::config();
config->setGroup( "Settings" );
config->writeEntry( "Speed", speed );
config->writeEntry( "Epoch", epoch );
config->writeEntry( "Color Rate", crate );
config->writeEntry( "ZRot", zrot );
config->writeEntry( "YRot", yrot );
config->writeEntry( "XRot", xrot );
config->sync();
*/
}
//-----------------------------------------------------------------------------
#ifndef M_PI
#define M_PI 3.14159265358979323846
#endif
const double pi = M_PI;
// Homogeneous coordinate transform matrix
// I initially wrote it for a Java applet, it is inspired from a
// Matrix class in the JDK.
// Nicolas Brodu, 1998-2000
class Matrix3D
{
// All coefficients
double xx, xy, xz, xo;
double yx, yy, yz, yo;
double zx, zy, zz, zo;
// 0, 0, 0, 1 are implicit
public:
void unit()
{
xx=1.0; xy=0.0; xz=0.0; xo=0.0;
yx=0.0; yy=1.0; yz=0.0; yo=0.0;
zx=0.0; zy=0.0; zz=1.0; zo=0.0;
}
Matrix3D ()
{
unit();
}
// Translation
void translate(double x, double y, double z)
{
xo += x;
yo += y;
zo += z;
}
// Rotation, in degrees, around the Y axis
void rotY(double theta)
{
theta *= pi / 180;
double ct = cos(theta);
double st = sin(theta);
double Nxx = xx * ct + zx * st;
double Nxy = xy * ct + zy * st;
double Nxz = xz * ct + zz * st;
double Nxo = xo * ct + zo * st;
double Nzx = zx * ct - xx * st;
double Nzy = zy * ct - xy * st;
double Nzz = zz * ct - xz * st;
double Nzo = zo * ct - xo * st;
xo = Nxo;
xx = Nxx;
xy = Nxy;
xz = Nxz;
zo = Nzo;
zx = Nzx;
zy = Nzy;
zz = Nzz;
}
// Rotation, in degrees, around the X axis
void rotX(double theta)
{
theta *= pi / 180;
double ct = cos(theta);
double st = sin(theta);
double Nyx = yx * ct + zx * st;
double Nyy = yy * ct + zy * st;
double Nyz = yz * ct + zz * st;
double Nyo = yo * ct + zo * st;
double Nzx = zx * ct - yx * st;
double Nzy = zy * ct - yy * st;
double Nzz = zz * ct - yz * st;
double Nzo = zo * ct - yo * st;
yo = Nyo;
yx = Nyx;
yy = Nyy;
yz = Nyz;
zo = Nzo;
zx = Nzx;
zy = Nzy;
zz = Nzz;
}
// Rotation, in degrees, around the Z axis
void rotZ(double theta)
{
theta *= pi / 180;
double ct = cos(theta);
double st = sin(theta);
double Nyx = yx * ct + xx * st;
double Nyy = yy * ct + xy * st;
double Nyz = yz * ct + xz * st;
double Nyo = yo * ct + xo * st;
double Nxx = xx * ct - yx * st;
double Nxy = xy * ct - yy * st;
double Nxz = xz * ct - yz * st;
double Nxo = xo * ct - yo * st;
yo = Nyo;
yx = Nyx;
yy = Nyy;
yz = Nyz;
xo = Nxo;
xx = Nxx;
xy = Nxy;
xz = Nxz;
}
// Multiply by a projection matrix, with camera f
// f 0 0 0 x f*x
// 0 f 0 0 * y = f*y
// 0 0 1 f z z+f
// 0 0 0 1 1 1
// So, it it easy to find the 2D coordinates after the transform
// u = f*x / (z+f)
// v = f*y / (z+f)
void proj(double f)
{
xx*=f;
xy*=f;
xz*=f;
xo*=f;
yx*=f;
yy*=f;
yz*=f;
yo*=f;
zo+=f;
}
// Apply the transformation 3D => 2D
void transform(double x, double y, double z, double &u, double& v, double& w)
{
u = x * xx + y * xy + z * xz + xo;
v = x * yx + y * yy + z * yz + yo;
w = x * zx + y * zy + z * zz + zo;
}
};
KLorenzSaver::KLorenzSaver( WId id ) : KScreenSaver( id )
{
readSettings();
// Create a transform matrix with the parameters
mat = new Matrix3D();
updateMatrix();
colorContext = TQColor::enterAllocContext();
setBackgroundColor( black );
newEpoch();
timer.start( 10 );
connect( &timer, TQT_SIGNAL( timeout() ), TQT_SLOT( drawOnce() ) );
}
KLorenzSaver::~KLorenzSaver()
{
delete mat;
mat=0;
timer.stop();
TQColor::leaveAllocContext();
TQColor::destroyAllocContext( colorContext );
}
// read configuration settings from config file
void KLorenzSaver::readSettings()
{
KConfig *config = KGlobal::config();
config->setGroup( "Settings" );
speed = config->readNumEntry( "Speed", DEFSPEED );
epoch = config->readNumEntry( "Epoch", DEFEPOCH );
zrot = config->readNumEntry( "ZRot", DEFZROT );
yrot = config->readNumEntry( "YRot", DEFZROT );
xrot = config->readNumEntry( "XRot", DEFZROT );
int crate_num = config->readNumEntry( "Color Rate", DEFCOLOR );
crate = (double)crate_num / (double)MAXCOLOR;
}
void KLorenzSaver::setSpeed(int num)
{
speed = num;
}
void KLorenzSaver::setEpoch(int num)
{
epoch = num;
}
void KLorenzSaver::setZRot(int num)
{
zrot = num;
}
void KLorenzSaver::setYRot(int num)
{
yrot = num;
}
void KLorenzSaver::setXRot(int num)
{
xrot = num;
}
void KLorenzSaver::setCRate(int num)
{
crate = (double)num / (double)MAXCOLOR;
}
void KLorenzSaver::updateMatrix()
{
// reset matrix
mat->unit();
// Remove the mean before the rotations...
mat->translate(-0.95413, -0.96740, -23.60065);
mat->rotZ(zrot);
mat->rotY(yrot);
mat->rotX(xrot);
mat->translate(0, 0, 100);
mat->proj(1);
}
void KLorenzSaver::newEpoch()
{
// Start at a random position, somewhere around the mean
x = 0.95-25.0+50.0*kapp->random() / (RAND_MAX+1.0);
y = 0.97-25.0+50.0*kapp->random() / (RAND_MAX+1.0);
z = 23.6-25.0+50.0*kapp->random() / (RAND_MAX+1.0);
// start at some random 'time' as well to have different colors
t = 10000.0*kapp->random() / (RAND_MAX+1.0);
erase();
e=0; // reset epoch counter
}
// Computes the derivatives using Lorenz equations
static void lorenz(double x, double y, double z, double& dx, double& dy, double& dz)
{
dx = 10*(y-x);
dy = 28*x - y - x*z;
dz = x*y - z*8.0/3.0;
}
// Use a simple Runge-Kutta formula to draw a few points
// No need to go beyond 2nd order for a screensaver!
void KLorenzSaver::drawOnce()
{
double kx, ky, kz, dx, dy, dz;
const double h = 0.0001;
const double tqh = h * 3.0 / 4.0;
TQPainter p(this);
for (int i=0; i<speed; i++) {
// Runge-Kutta formula
lorenz(x,y,z,dx,dy,dz);
lorenz(x + tqh*dx, y + tqh*dy, z + tqh*dz, kx, ky, kz);
x += h*(dx/3.0+2*kx/3.0);
y += h*(dy/3.0+2*ky/3.0);
z += h*(dz/3.0+2*kz/3.0);
// Apply transform
mat->transform(x,y,z,kx,ky,kz);
// Choose a color
p.setPen(
TQColor((int)(sin(t*crate/pi)*127+128),
(int)(sin(t*crate/(pi-1))*127+128),
(int)(sin(t*crate/(pi-2))*127+128)).pixel() );
// Draw a point
p.drawPoint( (int)(kx*width()*1.5/kz)+(int)(width()/2),
(int)(ky*height()*1.5/kz)+(int)(height()/2));
t+=h;
}
if (++e>=epoch) newEpoch();
}
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