#include "mandelbrot.h" #include #include #include #include void MandelbrotWidget::resizeEvent(QResizeEvent *) { if(size < width() * height()) { std::cout << "reallocate buffer" << std::endl; size = width() * height(); if(buffer) delete[]buffer; buffer = new unsigned char[4*size]; } } void MandelbrotWidget::paintEvent(QPaintEvent *) { QTime time; time.start(); int alignedWidth = (width()/packetSize)*packetSize; real yradius = xradius * height() / width(); vector2 start(center.x() - xradius, center.y() - yradius); vector2 step(2*xradius/width(), 2*yradius/height()); int pix = 0, total_iter = 0; static float max_speed = 0; for(int y = 0; y < height(); y++) { // for each pixel, we're going to do the iteration z := z^2 + c where z and c are complex numbers, // starting with z = c = complex coord of the pixel. pzi and pzr denote the real and imaginary parts of z. // pci and pcr denote the real and imaginary parts of c. packet pzi_start, pci_start; for(int i = 0; i < packetSize; i++) pzi_start[i] = pci_start[i] = start.y() + y * step.y(); for(int x = 0; x < alignedWidth; x += packetSize, pix += packetSize) { packet pcr, pci = pci_start, pzr, pzi = pzi_start, pzr_buf; for(int i = 0; i < packetSize; i++) pzr[i] = pcr[i] = start.x() + (x+i) * step.x(); // do the iterations. Every 4 iterations we check for divergence, in which case we can stop iterating. int j; for(j = 0; j < iter/4 && (pzr.cwiseAbs2() + pzi.cwiseAbs2()).eval().minCoeff() < 4; j++) { total_iter += 4 * packetSize; for(int i = 0; i < 4; i++) { pzr_buf = pzr; pzr = pzr.cwiseAbs2() - pzi.cwiseAbs2() + pcr; pzi = 2 * pzr_buf.cwiseProduct(pzi) + pci; } } // compute arbitrary pixel colors packet pblue, pgreen; if(j == iter/4) { packet pampl = (pzr.cwiseAbs2() + pzi.cwiseAbs2()); pblue = real(510) * (packet::constant(0.1) + pampl).cwiseInverse().cwiseMin(packet::ones()); pgreen = real(2550) * (packet::constant(10) + pampl).cwiseInverse().cwiseMin(packet::constant(0.1)); } else pblue = pgreen = packet::zero(); for(int i = 0; i < packetSize; i++) { buffer[4*(pix+i)] = (unsigned char)(pblue[i]); buffer[4*(pix+i)+1] = (unsigned char)(pgreen[i]); buffer[4*(pix+i)+2] = 0; } } // if the width is not a multiple of packetSize, fill the remainder in black for(int x = alignedWidth; x < width(); x++, pix++) buffer[4*pix] = buffer[4*pix+1] = buffer[4*pix+2] = 0; } int elapsed = time.elapsed(); float speed = elapsed ? float(total_iter)*1000/elapsed : 0; max_speed = std::max(max_speed, speed); std::cout << elapsed << " ms elapsed, " << total_iter << " iters, " << speed << " iters/s (max " << max_speed << ")" << std::endl; QImage image(buffer, width(), height(), QImage::Format_RGB32); QPainter painter(this); painter.drawImage(QPointF(0,0), image); } void MandelbrotWidget::mousePressEvent(QMouseEvent *event) { if( event->buttons() & Qt::LeftButton ) { lastpos = event->pos(); real yradius = xradius * height() / width(); center = vector2(center.x() + (event->pos().x() - width()/2) * xradius * 2 / width(), center.y() + (event->pos().y() - height()/2) * yradius * 2 / height()); update(); } } void MandelbrotWidget::mouseMoveEvent(QMouseEvent *event) { QPoint delta = event->pos() - lastpos; lastpos = event->pos(); if( event->buttons() & Qt::LeftButton ) { real t = 1 + 3 * real(delta.y()) / height(); if(t < 0.5) t = 0.5; if(t > 2) t = 2; xradius *= t; update(); } } int main(int argc, char *argv[]) { QApplication app(argc, argv); MandelbrotWidget w; w.show(); return app.exec(); } #include "mandelbrot.moc"