Mandelbrot Threads Example¶
The Mandelbrot example demonstrates multi-thread programming using Qt. It shows how to use a worker thread to perform heavy computations without blocking the main thread’s event loop.
# Copyright (C) 2013 Riverbank Computing Limited.
# Copyright (C) 2022 The Qt Company Ltd.
# SPDX-License-Identifier: LicenseRef-Qt-Commercial OR BSD-3-Clause
from __future__ import annotations
"""PySide6 port of the corelib/threads/mandelbrot example from Qt v5.x, originating from PyQt"""
from argparse import ArgumentParser, RawTextHelpFormatter
import sys
from PySide6.QtCore import (Signal, QMutex, QElapsedTimer, QMutexLocker,
QPoint, QPointF, QSize, Qt, QThread,
QWaitCondition, Slot)
from PySide6.QtGui import QColor, QImage, QPainter, QPixmap, qRgb
from PySide6.QtWidgets import QApplication, QWidget
DEFAULT_CENTER_X = -0.647011
DEFAULT_CENTER_Y = -0.0395159
DEFAULT_SCALE = 0.00403897
ZOOM_IN_FACTOR = 0.8
ZOOM_OUT_FACTOR = 1 / ZOOM_IN_FACTOR
SCROLL_STEP = 20
NUM_PASSES = 8
INFO_KEY = 'info'
HELP = ("Use mouse wheel or the '+' and '-' keys to zoom. Press and "
"hold left mouse button to scroll.")
class RenderThread(QThread):
colormap_size = 512
rendered_image = Signal(QImage, float)
def __init__(self, parent=None):
super().__init__(parent)
self.mutex = QMutex()
self.condition = QWaitCondition()
self._center_x = 0.0
self._center_y = 0.0
self._scale_factor = 0.0
self._result_size = QSize()
self.colormap = []
self.restart = False
self.abort = False
for i in range(RenderThread.colormap_size):
self.colormap.append(
self.rgb_from_wave_length(380.0 + (i * 400.0 / RenderThread.colormap_size)))
def stop(self):
self.mutex.lock()
self.abort = True
self.condition.wakeOne()
self.mutex.unlock()
self.wait(2000)
def render(self, centerX, centerY, scale_factor, resultSize):
with QMutexLocker(self.mutex):
self._center_x = centerX
self._center_y = centerY
self._scale_factor = scale_factor
self._result_size = resultSize
if not self.isRunning():
self.start(QThread.LowPriority)
else:
self.restart = True
self.condition.wakeOne()
def run(self):
timer = QElapsedTimer()
while True:
self.mutex.lock()
resultSize = self._result_size
scale_factor = self._scale_factor
centerX = self._center_x
centerY = self._center_y
self.mutex.unlock()
half_width = resultSize.width() // 2
half_height = resultSize.height() // 2
image = QImage(resultSize, QImage.Format_RGB32)
curpass = 0
while curpass < NUM_PASSES:
timer.restart()
max_iterations = (1 << (2 * curpass + 6)) + 32
LIMIT = 4
all_black = True
for y in range(-half_height, half_height):
if self.restart:
break
if self.abort:
return
ay = 1j * (centerY + (y * scale_factor))
for x in range(-half_width, half_width):
c0 = centerX + (x * scale_factor) + ay
c = c0
num_iterations = 0
while num_iterations < max_iterations:
num_iterations += 1
c = c * c + c0
if abs(c) >= LIMIT:
break
num_iterations += 1
c = c * c + c0
if abs(c) >= LIMIT:
break
num_iterations += 1
c = c * c + c0
if abs(c) >= LIMIT:
break
num_iterations += 1
c = c * c + c0
if abs(c) >= LIMIT:
break
if num_iterations < max_iterations:
image.setPixel(x + half_width, y + half_height,
self.colormap[
num_iterations % RenderThread.colormap_size])
all_black = False
else:
image.setPixel(x + half_width, y + half_height, qRgb(0, 0, 0))
if all_black and curpass == 0:
curpass = 4
else:
if not self.restart:
elapsed = timer.elapsed()
unit = 'ms'
if elapsed > 2000:
elapsed /= 1000
unit = 's'
text = (f"Pass {curpass + 1}/{NUM_PASSES}, "
f"max iterations: {max_iterations}, time: {elapsed}{unit}")
image.setText(INFO_KEY, text)
self.rendered_image.emit(image, scale_factor)
curpass += 1
self.mutex.lock()
if not self.restart:
self.condition.wait(self.mutex)
self.restart = False
self.mutex.unlock()
def rgb_from_wave_length(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(r * 255, g * 255, b * 255)
class MandelbrotWidget(QWidget):
def __init__(self, parent=None):
super().__init__(parent)
self.thread = RenderThread()
self.pixmap = QPixmap()
self._pixmap_offset = QPointF()
self._last_drag_pos = QPointF()
self._center_x = DEFAULT_CENTER_X
self._center_y = DEFAULT_CENTER_Y
self._pixmap_scale = DEFAULT_SCALE
self._cur_scale = DEFAULT_SCALE
self.thread.rendered_image.connect(self.update_pixmap)
self.setWindowTitle("Mandelbrot")
self.setCursor(Qt.CrossCursor)
self._info = ''
def paintEvent(self, event):
with QPainter(self) as painter:
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._cur_scale == self._pixmap_scale:
painter.drawPixmap(self._pixmap_offset, self.pixmap)
else:
scale_factor = self._pixmap_scale / self._cur_scale
new_width = int(self.pixmap.width() * scale_factor)
new_height = int(self.pixmap.height() * scale_factor)
new_x = self._pixmap_offset.x() + (self.pixmap.width() - new_width) / 2
new_y = self._pixmap_offset.y() + (self.pixmap.height() - new_height) / 2
painter.save()
painter.translate(new_x, new_y)
painter.scale(scale_factor, scale_factor)
exposed, _ = painter.transform().inverted()
exposed = exposed.mapRect(self.rect()).adjusted(-1, -1, 1, 1)
painter.drawPixmap(exposed, self.pixmap, exposed)
painter.restore()
text = HELP
if self._info:
text += ' ' + self._info
metrics = painter.fontMetrics()
text_width = metrics.horizontalAdvance(text)
painter.setPen(Qt.NoPen)
painter.setBrush(QColor(0, 0, 0, 127))
painter.drawRect((self.width() - text_width) / 2 - 5, 0, text_width + 10,
metrics.lineSpacing() + 5)
painter.setPen(Qt.white)
painter.drawText((self.width() - text_width) / 2,
metrics.leading() + metrics.ascent(), text)
def resizeEvent(self, event):
self.thread.render(self._center_x, self._center_y, self._cur_scale, self.size())
def keyPressEvent(self, event):
if event.key() == Qt.Key_Plus:
self.zoom(ZOOM_IN_FACTOR)
elif event.key() == Qt.Key_Minus:
self.zoom(ZOOM_OUT_FACTOR)
elif event.key() == Qt.Key_Left:
self.scroll(-SCROLL_STEP, 0)
elif event.key() == Qt.Key_Right:
self.scroll(+SCROLL_STEP, 0)
elif event.key() == Qt.Key_Down:
self.scroll(0, -SCROLL_STEP)
elif event.key() == Qt.Key_Up:
self.scroll(0, +SCROLL_STEP)
elif event.key() == Qt.Key_Q:
self.close()
else:
super(MandelbrotWidget, self).keyPressEvent(event)
def wheelEvent(self, event):
num_degrees = event.angleDelta().y() / 8
num_steps = num_degrees / 15.0
self.zoom(pow(ZOOM_IN_FACTOR, num_steps))
def mousePressEvent(self, event):
if event.buttons() == Qt.LeftButton:
self._last_drag_pos = event.position()
def mouseMoveEvent(self, event):
if event.buttons() & Qt.LeftButton:
pos = event.position()
self._pixmap_offset += pos - self._last_drag_pos
self._last_drag_pos = pos
self.update()
def mouseReleaseEvent(self, event):
if event.button() == Qt.LeftButton:
pos = event.position()
self._pixmap_offset += pos - self._last_drag_pos
self._last_drag_pos = QPointF()
delta_x = (self.width() - self.pixmap.width()) / 2 - self._pixmap_offset.x()
delta_y = (self.height() - self.pixmap.height()) / 2 - self._pixmap_offset.y()
self.scroll(delta_x, delta_y)
@Slot(QImage, float)
def update_pixmap(self, image, scale_factor):
if not self._last_drag_pos.isNull():
return
self._info = image.text(INFO_KEY)
self.pixmap = QPixmap.fromImage(image)
self._pixmap_offset = QPointF()
self._last_drag_position = QPointF()
self._pixmap_scale = scale_factor
self.update()
def zoom(self, zoomFactor):
self._cur_scale *= zoomFactor
self.update()
self.thread.render(self._center_x, self._center_y, self._cur_scale, self.size())
def scroll(self, deltaX, deltaY):
self._center_x += deltaX * self._cur_scale
self._center_y += deltaY * self._cur_scale
self.update()
self.thread.render(self._center_x, self._center_y, self._cur_scale, self.size())
if __name__ == '__main__':
parser = ArgumentParser(description='Qt Mandelbrot Example',
formatter_class=RawTextHelpFormatter)
parser.add_argument('--passes', '-p', type=int, help='Number of passes (1-8)')
options = parser.parse_args()
if options.passes:
NUM_PASSES = int(options.passes)
if NUM_PASSES < 1 or NUM_PASSES > 8:
print(f'Invalid value: {options.passes}')
sys.exit(-1)
app = QApplication(sys.argv)
widget = MandelbrotWidget()
geometry = widget.screen().availableGeometry()
widget.resize((2 * geometry.size()) / 3)
pos = (geometry.size() - widget.size()) / 2
widget.move(geometry.topLeft() + QPoint(pos.width(), pos.height()))
widget.show()
r = app.exec()
widget.thread.stop()
sys.exit(r)