def to_qpoint(self, point: Point):
"""
Преобразования точки в координаты холста(пиксели)
:param: point точка в декартовых координатах
"""
x = point.x() * DrawConst.scaleX + self.o_x
y = -point.y() * DrawConst.scaleY + self.o_y
return QPoint(x, y)
def main():
x1, y1, x2, y2 = map(int, input().split())
line = Segment(Point(x1, y1), Point(x2, y2))
q = int(input())
for _ in range(q):
x0, y0 = map(int, input().split())
p = line.project(Point(x0, y0))
print(p.x, p.y)
def main():
from geometric import Segment, Point
x1, y1, x2, y2 = map(int, input().split())
line = Segment(Point(x1, y1), Point(x2, y2))
q = int(input())
for _ in range(q):
x0, y0 = map(int, input().split())
p = line.reflect(Point(x0, y0))
print(p.x, p.y)
def main():
q = int(input())
for _ in range(q):
x0, y0, x1, y1, x2, y2, x3, y3 = map(int, input().split())
s1 = Segment(Point(x0, y0), Point(x1, y1))
s2 = Segment(Point(x2, y2), Point(x3, y3))
if s1.isOrthogonal(s2):
print(2)
elif s1.isParallel(s2):
print(1)
else:
print(0)
def to_decart(self, qpoint: QPoint):
"""
Преобразования точки в декартовы координаты
:param: qpoint точка в координатах холста(пиксели)
"""
x = (qpoint.x() - self.o_x) / DrawConst.scaleX
y = (-qpoint.y() + self.o_y) / DrawConst.scaleY
return Point(x, y)
def drawBresenhamCircle(self):
self.clearCanvas()
x = int(self.ui.le_circle_x.text())
y = int(self.ui.le_circle_y.text())
r = int(self.ui.le_circle_r.text())
painter = QPainter()
painter.begin(self.pixmap)
self.drawCanvas(painter)
self.drawEllipse(painter, Point(x, y), r)
self.BresenhamCircle(painter, Point(x, y), r)
painter.end()
self.setPixmap()
def drawBresenhamLine(self):
self.clearCanvas()
x1 = int(self.ui.le_line_x1.text())
y1 = int(self.ui.le_line_y1.text())
x2 = int(self.ui.le_line_x2.text())
y2 = int(self.ui.le_line_y2.text())
painter = QPainter()
painter.begin(self.pixmap)
self.drawCanvas(painter)
self.drawLine(painter, Point(x1, y1), Point(x2, y2))
self.BresenhamLine(painter, Point(x1, y1), Point(x2, y2))
painter.end()
self.setPixmap()
def _init_canvas(self, w, h):
"""
Начальная инициализиция холста
:param: w ширина холста
:param: h высота холста
"""
self.pixmap = QPixmap(w, h)
self.pixmap.fill(Qt.white)
painter = QPainter()
painter.begin(self.pixmap)
self.drawCanvas(painter)
a: Point = Point(0, 0)
b: Point = Point(-3, -6)
# self.drawLine(painter, a, b)
# self.BresenhamLine(painter, a, b)
# self.drawEllipse(painter, a, 4)
# self.BresenhamCircle(painter, a, 4)
painter.end()
self.setPixmap()
def rotateFromPoint(self):
"""
Метод для поворота фигуры относительно (x, y)
"""
try:
x = float(self.ui.le_rotate_from_point_x.text())
y = float(self.ui.le_rotate_from_point_y.text())
angle = float(self.ui.le_rotate_angle.text())
p_rotate_from = partial(rotate_from, angle=angle, x=Point(x, y))
figure = list(map(p_rotate_from, self._get_figure()))
self.drawFigure(figure)
except ValueError as ex:
self.ui.le_rotate_from_point_x.setText('')
self.ui.le_rotate_from_point_y.setText('')
self.ui.le_rotate_angle.setText('')
print(str(ex))
except Exception as ex:
print('Unknown error: ' + str(ex))
def __init__(self, parent=None):
QWidget.__init__(self, parent)
self.ui = Ui_MainWindow()
self.ui.setupUi(self)
# размеры холста (ширрина и высота) в пикселях
self.width = self.ui.canvas.width()
self.height = self.ui.canvas.height()
self.o_x = int(self.width * DrawConst.centerX)
self.o_y = int(self.height * DrawConst.centerY)
self.c.connect(lambda i: print('pyqtSignal', i))
self.c.emit(Point(0, 0))
self._init_canvas(self.width, self.height)
self.points = []
self.ui.pb_draw_line.clicked.connect(self.drawBresenhamLine)
self.ui.pb_draw_circle.clicked.connect(self.drawBresenhamCircle)
def BresenhamLine(self, painter, a: Point, b: Point):
x1, y1 = a.x(), a.y()
x2, y2 = b.x(), b.y()
dx = x2 - x1
dy = y2 - y1
sign_x = 1 if dx > 0 else -1 if dx < 0 else 0
sign_y = 1 if dy > 0 else -1 if dy < 0 else 0
if dx < 0: dx = -dx
if dy < 0: dy = -dy
if dx > dy:
pdx, pdy = sign_x, 0
es, el = dy, dx
else:
pdx, pdy = 0, sign_y
es, el = dx, dy
x, y = x1, y1
error, t = el, 0
self.drawPoint(painter, Point(x, y), Qt.red)
while t < el:
error -= 2 * es
if error < 0:
error += 2 * el
x += sign_x
y += sign_y
else:
x += pdx
y += pdy
t += 1
self.drawPoint(painter, Point(x, y), Qt.red)
from geometric import Segment, Point
q = int(input())
for _ in range(q):
x0, y0, x1, y1, x2, y2, x3, y3 = map(int, input().split())
s1 = Segment(Point(x0, y0), Point(x1, y1))
s2 = Segment(Point(x2, y2), Point(x3, y3))
print(s1.getDistance(s2))
def BresenhamCircle(self, painter, a: Point, r: int):
x, y = r, 0
error = 1 - x
while x >= y:
self.drawPoint(painter, Point(x + a.x(), y + a.y()))
self.drawPoint(painter, Point(y + a.x(), x + a.y()))
self.drawPoint(painter, Point(-x + a.x(), y + a.y()))
self.drawPoint(painter, Point(-y + a.x(), x + a.y()))
self.drawPoint(painter, Point(-x + a.x(), -y + a.y()))
self.drawPoint(painter, Point(-y + a.x(), -x + a.y()))
self.drawPoint(painter, Point(x + a.x(), -y + a.y()))
self.drawPoint(painter, Point(y + a.x(), -x + a.y()))
y += 1
if error < 0:
error += 2 * y + 1
else:
x -= 1
error += 2 * (y - x + 1)