QGIS Geometry generator example - Random polygon grid fill (generates a multipoint geometry)

randGrid.py

from qgis.core import *
from qgis.gui import *
import math
import random
 
"""
Define a grid based on the interval and the bounding box of
the feature. Grid will minimally cover the feature and be centre aligned
 
Create a multi-point geometry at the grid intersections where
the grid is enclosed by the feature - i.e. apply a clipping mask
 
Random value determines amount of randomness in X/Y within its
grid square a particular feature is allowed to have
"""
@qgsfunction(args='auto', group='Custom')
def fillGrid(xInterval, yInterval, rand, feature, parent):
  box = feature.geometry().boundingBox()
 
  #Create a grid that minimally covers the boundary
  #using the supplied intervals and centre it
  countX = math.ceil(box.width() / xInterval)
  countY = math.ceil(box.height() / yInterval)
 
  #Align the grid
  gridX = countX * xInterval
  gridY = countY * yInterval
  dX= gridX - box.width()
  dY= gridY - box.height()
  xMin = box.xMinimum() - (dX/2)
  yMin = box.yMinimum() - (dY/2)
 
  points = []
  #+1 to draw a symbol on the n+1th grid element
  for xOff in range(countX+1):
    for yOff in range(countY+1):
 
      ptX = xMin + xOff*(xInterval) + rand * random.uniform(0,xInterval)
      ptY = yMin + yOff*(yInterval) + rand * random.uniform(0,xInterval)
 
      pt = QgsPointXY(ptX,ptY)
      point = QgsGeometry.fromPointXY(pt)
      if feature.geometry().contains(point):
        points.append(pt)
 
  return QgsGeometry.fromMultiPointXY(points)