#!/usr/bin/env python ############################################################################# ## ## Copyright (C) 2013 Riverbank Computing Limited. ## Copyright (C) 2010 Nokia Corporation and/or its subsidiary(-ies). ## All rights reserved. ## ## This file is part of the examples of PyQt. ## ## $QT_BEGIN_LICENSE:BSD$ ## You may use this file under the terms of the BSD license as follows: ## ## "Redistribution and use in source and binary forms, with or without ## modification, are permitted provided that the following conditions are ## met: ## * Redistributions of source code must retain the above copyright ## notice, this list of conditions and the following disclaimer. ## * Redistributions in binary form must reproduce the above copyright ## notice, this list of conditions and the following disclaimer in ## the documentation and/or other materials provided with the ## distribution. ## * Neither the name of Nokia Corporation and its Subsidiary(-ies) nor ## the names of its contributors may be used to endorse or promote ## products derived from this software without specific prior written ## permission. ## ## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ## "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT ## LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR ## A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT ## OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, ## SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT ## LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, ## DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY ## THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT ## (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE ## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE." ## $QT_END_LICENSE$ ## ############################################################################# from PyQt5.QtCore import (pyqtSignal, QMutex, QMutexLocker, QPoint, QSize, Qt, QThread, QWaitCondition) from PyQt5.QtGui import QColor, QImage, QPainter, QPixmap, qRgb from PyQt5.QtWidgets import QApplication, QWidget DefaultCenterX = -0.647011 DefaultCenterY = -0.0395159 DefaultScale = 0.00403897 ZoomInFactor = 0.8 ZoomOutFactor = 1 / ZoomInFactor ScrollStep = 20 class RenderThread(QThread): ColormapSize = 512 renderedImage = pyqtSignal(QImage, float) def __init__(self, parent=None): super(RenderThread, self).__init__(parent) self.mutex = QMutex() self.condition = QWaitCondition() self.centerX = 0.0 self.centerY = 0.0 self.scaleFactor = 0.0 self.resultSize = QSize() self.colormap = [] self.restart = False self.abort = False for i in range(RenderThread.ColormapSize): self.colormap.append(self.rgbFromWaveLength(380.0 + (i * 400.0 / RenderThread.ColormapSize))) def __del__(self): self.mutex.lock() self.abort = True self.condition.wakeOne() self.mutex.unlock() self.wait() def render(self, centerX, centerY, scaleFactor, resultSize): locker = QMutexLocker(self.mutex) self.centerX = centerX self.centerY = centerY self.scaleFactor = scaleFactor self.resultSize = resultSize if not self.isRunning(): self.start(QThread.LowPriority) else: self.restart = True self.condition.wakeOne() def run(self): while True: self.mutex.lock() resultSize = self.resultSize scaleFactor = self.scaleFactor centerX = self.centerX centerY = self.centerY self.mutex.unlock() halfWidth = resultSize.width() // 2 halfHeight = resultSize.height() // 2 image = QImage(resultSize, QImage.Format_RGB32) NumPasses = 8 curpass = 0 while curpass < NumPasses: MaxIterations = (1 << (2 * curpass + 6)) + 32 Limit = 4 allBlack = True for y in range(-halfHeight, halfHeight): if self.restart: break if self.abort: return ay = 1j * (centerY + (y * scaleFactor)) for x in range(-halfWidth, halfWidth): c0 = centerX + (x * scaleFactor) + ay c = c0 numIterations = 0 while numIterations < MaxIterations: numIterations += 1 c = c*c + c0 if abs(c) >= Limit: break numIterations += 1 c = c*c + c0 if abs(c) >= Limit: break numIterations += 1 c = c*c + c0 if abs(c) >= Limit: break numIterations += 1 c = c*c + c0 if abs(c) >= Limit: break if numIterations < MaxIterations: image.setPixel(x + halfWidth, y + halfHeight, self.colormap[numIterations % RenderThread.ColormapSize]) allBlack = False else: image.setPixel(x + halfWidth, y + halfHeight, qRgb(0, 0, 0)) if allBlack and curpass == 0: curpass = 4 else: if not self.restart: self.renderedImage.emit(image, scaleFactor) curpass += 1 self.mutex.lock() if not self.restart: self.condition.wait(self.mutex) self.restart = False self.mutex.unlock() def rgbFromWaveLength(self, wave): r = 0.0 g = 0.0 b = 0.0 if wave >= 380.0 and wave <= 440.0: r = -1.0 * (wave - 440.0) / (440.0 - 380.0) b = 1.0 elif wave >= 440.0 and wave <= 490.0: g = (wave - 440.0) / (490.0 - 440.0) b = 1.0 elif wave >= 490.0 and wave <= 510.0: g = 1.0 b = -1.0 * (wave - 510.0) / (510.0 - 490.0) elif wave >= 510.0 and wave <= 580.0: r = (wave - 510.0) / (580.0 - 510.0) g = 1.0 elif wave >= 580.0 and wave <= 645.0: r = 1.0 g = -1.0 * (wave - 645.0) / (645.0 - 580.0) elif wave >= 645.0 and wave <= 780.0: r = 1.0 s = 1.0 if wave > 700.0: s = 0.3 + 0.7 * (780.0 - wave) / (780.0 - 700.0) elif wave < 420.0: s = 0.3 + 0.7 * (wave - 380.0) / (420.0 - 380.0) r = pow(r * s, 0.8) g = pow(g * s, 0.8) b = pow(b * s, 0.8) return qRgb(int(r*255), int(g*255), int(b*255)) class MandelbrotWidget(QWidget): def __init__(self, parent=None): super(MandelbrotWidget, self).__init__(parent) self.thread = RenderThread() self.pixmap = QPixmap() self.pixmapOffset = QPoint() self.lastDragPos = QPoint() self.centerX = DefaultCenterX self.centerY = DefaultCenterY self.pixmapScale = DefaultScale self.curScale = DefaultScale self.thread.renderedImage.connect(self.updatePixmap) self.setWindowTitle("Mandelbrot") self.setCursor(Qt.CrossCursor) self.resize(550, 400) def paintEvent(self, event): painter = QPainter(self) painter.fillRect(self.rect(), Qt.black) if self.pixmap.isNull(): painter.setPen(Qt.white) painter.drawText(self.rect(), Qt.AlignCenter, "Rendering initial image, please wait...") return if self.curScale == self.pixmapScale: painter.drawPixmap(self.pixmapOffset, self.pixmap) else: scaleFactor = self.pixmapScale / self.curScale newWidth = int(self.pixmap.width() * scaleFactor) newHeight = int(self.pixmap.height() * scaleFactor) newX = self.pixmapOffset.x() + (self.pixmap.width() - newWidth) / 2 newY = self.pixmapOffset.y() + (self.pixmap.height() - newHeight) / 2 painter.save() painter.translate(newX, newY) painter.scale(scaleFactor, scaleFactor) exposed, _ = painter.transform().inverted() exposed = exposed.mapRect(self.rect()).adjusted(-1, -1, 1, 1) painter.drawPixmap(exposed, self.pixmap, exposed) painter.restore() text = "Use mouse wheel or the '+' and '-' keys to zoom. Press and " \ "hold left mouse button to scroll." metrics = painter.fontMetrics() textWidth = metrics.width(text) painter.setPen(Qt.NoPen) painter.setBrush(QColor(0, 0, 0, 127)) painter.drawRect((self.width() - textWidth) // 2 - 5, 0, textWidth + 10, metrics.lineSpacing() + 5) painter.setPen(Qt.white) painter.drawText((self.width() - textWidth) // 2, metrics.leading() + metrics.ascent(), text) def resizeEvent(self, event): self.thread.render(self.centerX, self.centerY, self.curScale, self.size()) def keyPressEvent(self, event): if event.key() == Qt.Key_Plus: self.zoom(ZoomInFactor) elif event.key() == Qt.Key_Minus: self.zoom(ZoomOutFactor) elif event.key() == Qt.Key_Left: self.scroll(-ScrollStep, 0) elif event.key() == Qt.Key_Right: self.scroll(+ScrollStep, 0) elif event.key() == Qt.Key_Down: self.scroll(0, -ScrollStep) elif event.key() == Qt.Key_Up: self.scroll(0, +ScrollStep) else: super(MandelbrotWidget, self).keyPressEvent(event) def wheelEvent(self, event): numDegrees = event.angleDelta().y() / 8 numSteps = numDegrees / 15.0 self.zoom(pow(ZoomInFactor, numSteps)) def mousePressEvent(self, event): if event.buttons() == Qt.LeftButton: self.lastDragPos = QPoint(event.pos()) def mouseMoveEvent(self, event): if event.buttons() & Qt.LeftButton: self.pixmapOffset += event.pos() - self.lastDragPos self.lastDragPos = QPoint(event.pos()) self.update() def mouseReleaseEvent(self, event): if event.button() == Qt.LeftButton: self.pixmapOffset += event.pos() - self.lastDragPos self.lastDragPos = QPoint() deltaX = (self.width() - self.pixmap.width()) / 2 - self.pixmapOffset.x() deltaY = (self.height() - self.pixmap.height()) / 2 - self.pixmapOffset.y() self.scroll(deltaX, deltaY) def updatePixmap(self, image, scaleFactor): if not self.lastDragPos.isNull(): return self.pixmap = QPixmap.fromImage(image) self.pixmapOffset = QPoint() self.lastDragPosition = QPoint() self.pixmapScale = scaleFactor self.update() def zoom(self, zoomFactor): self.curScale *= zoomFactor self.update() self.thread.render(self.centerX, self.centerY, self.curScale, self.size()) def scroll(self, deltaX, deltaY): self.centerX += deltaX * self.curScale self.centerY += deltaY * self.curScale self.update() self.thread.render(self.centerX, self.centerY, self.curScale, self.size()) if __name__ == '__main__': import sys app = QApplication(sys.argv) widget = MandelbrotWidget() widget.show() sys.exit(app.exec_())