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-rw-r--r--kscreensaver/kdesavers/lorenz.cpp569
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diff --git a/kscreensaver/kdesavers/lorenz.cpp b/kscreensaver/kdesavers/lorenz.cpp
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+++ b/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 <qpainter.h>
+#include <qslider.h>
+#include <qlayout.h>
+#include <qcolor.h>
+#include <qlabel.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 QDialog *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( QWidget *parent, const char *name )
+ : KDialogBase( parent, name, true, i18n( "Setup Lorenz Attractor" ),
+ Ok|Cancel|Default|Help, Ok, true )
+{
+ readSettings();
+
+ setButtonText( Help, i18n( "A&bout" ) );
+ QWidget *main = makeMainWidget();
+
+ QHBoxLayout *tl = new QHBoxLayout( main, 0, spacingHint() );
+ QVBoxLayout *tl1 = new QVBoxLayout;
+ tl->addLayout(tl1);
+
+ QLabel *label = new QLabel( i18n("Speed:"), main );
+ tl1->addWidget(label);
+
+ sps = new QSlider(MINSPEED, MAXSPEED, 10, speed, QSlider::Horizontal, main);
+ sps->setMinimumSize( 120, 20 );
+ sps->setTickmarks(QSlider::Below);
+ sps->setTickInterval(150);
+ connect( sps, SIGNAL( valueChanged( int ) ), SLOT( slotSpeed( int ) ) );
+ tl1->addWidget(sps);
+
+ label = new QLabel( i18n("Epoch:"), main );
+ tl1->addWidget(label);
+
+ eps = new QSlider(MINEPOCH, MAXEPOCH, 100, epoch, QSlider::Horizontal, main);
+ eps->setMinimumSize( 120, 20 );
+ eps->setTickmarks(QSlider::Below);
+ eps->setTickInterval(3000);
+ connect( eps, SIGNAL( valueChanged( int ) ), SLOT( slotEpoch( int ) ) );
+ tl1->addWidget(eps);
+
+ label = new QLabel( i18n("Color rate:"), main );
+ tl1->addWidget(label);
+
+ crs = new QSlider(MINCOLOR, MAXCOLOR, 5, crate, QSlider::Horizontal, main);
+ crs->setMinimumSize( 120, 20 );
+ crs->setTickmarks(QSlider::Below);
+ crs->setTickInterval(10);
+ connect( crs, SIGNAL( valueChanged( int ) ), SLOT( slotCRate( int ) ) );
+ tl1->addWidget(crs);
+
+ label = new QLabel( i18n("Rotation Z:"), main );
+ tl1->addWidget(label);
+
+ zrs = new QSlider(MINZROT, MAXZROT, 18, zrot, QSlider::Horizontal, main);
+ zrs->setMinimumSize( 120, 20 );
+ zrs->setTickmarks(QSlider::Below);
+ zrs->setTickInterval(36);
+ connect( zrs, SIGNAL( valueChanged( int ) ), SLOT( slotZRot( int ) ) );
+ tl1->addWidget(zrs);
+
+ label = new QLabel( i18n("Rotation Y:"), main );
+ tl1->addWidget(label);
+
+ yrs = new QSlider(MINYROT, MAXYROT, 18, yrot, QSlider::Horizontal, main);
+ yrs->setMinimumSize( 120, 20 );
+ yrs->setTickmarks(QSlider::Below);
+ yrs->setTickInterval(36);
+ connect( yrs, SIGNAL( valueChanged( int ) ), SLOT( slotYRot( int ) ) );
+ tl1->addWidget(yrs);
+
+ label = new QLabel( i18n("Rotation X:"), main );
+ tl1->addWidget(label);
+
+ xrs = new QSlider(MINXROT, MAXXROT, 18, xrot, QSlider::Horizontal, main);
+ xrs->setMinimumSize( 120, 20 );
+ xrs->setTickmarks(QSlider::Below);
+ xrs->setTickInterval(36);
+ connect( xrs, SIGNAL( valueChanged( int ) ), SLOT( slotXRot( int ) ) );
+ tl1->addWidget(xrs);
+
+ preview = new QWidget( 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 = QColor::enterAllocContext();
+ setBackgroundColor( black );
+ newEpoch();
+
+ timer.start( 10 );
+ connect( &timer, SIGNAL( timeout() ), SLOT( drawOnce() ) );
+}
+
+KLorenzSaver::~KLorenzSaver()
+{
+ delete mat;
+ mat=0;
+ timer.stop();
+ QColor::leaveAllocContext();
+ QColor::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;
+ QPainter 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(
+ QColor((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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