mapgen/mapgen.py

#!/usr/bin/python
# -*- coding: utf-8 -*-

# http://stackoverflow.com/questions/8997099/algorithm-to-generate-random-2d-polygon

import os, glob, errno
import math, random
from PIL import Image, ImageDraw
import svgwrite
import datetime
from sympy.geometry import Circle, Point



def generatePolygon( ctrX, ctrY, aveRadius, irregularity, spikeyness, numVerts ) :
   '''Start with the centre of the polygon at ctrX, ctrY,
    then creates the polygon by sampling points on a circle around the centre.
    Randon noise is added by varying the angular spacing between sequential points,
    and by varying the radial distance of each point from the centre.

    Params:
    ctrX, ctrY - coordinates of the "centre" of the polygon
    aveRadius - in px, the average radius of this polygon, this roughly controls how large the polygon is, really only useful for order of magnitude.
    irregularity - [0,1] indicating how much variance there is in the angular spacing of vertices. [0,1] will map to [0, 2pi/numberOfVerts]
    spikeyness - [0,1] indicating how much variance there is in each vertex from the circle of radius aveRadius. [0,1] will map to [0, aveRadius]
    numVerts - self-explanatory

    Returns a list of vertices, in CCW order.
    '''

   irregularity = clip( irregularity, 0,1 ) * 2*math.pi / numVerts
   spikeyness = clip( spikeyness, 0,1 ) * aveRadius

   # generate n angle steps
   angleSteps = []
   lower = (2*math.pi / numVerts) - irregularity
   upper = (2*math.pi / numVerts) + irregularity
   sum = 0
   for i in range(numVerts) :
      tmp = random.uniform(lower, upper)
      angleSteps.append( tmp )
      sum = sum + tmp

   # normalize the steps so that point 0 and point n+1 are the same
   k = sum / (2*math.pi)
   for i in range(numVerts) :
     angleSteps[i] = angleSteps[i] / k

   # now generate the points
   points = []
   angle = random.uniform(0, 2*math.pi)
   for i in range(numVerts) :
     r_i = clip( random.gauss(aveRadius, spikeyness), 0, 2*aveRadius )
     x = ctrX + r_i*math.cos(angle)
     y = ctrY + r_i*math.sin(angle)
     points.append( (int(x),int(y)) )

     angle = angle + angleSteps[i]

   for i in range(10):
      points = fractalize(points)

   return points

def clip(x, min, max) :
   if( min > max ) :  return x
   elif( x < min ) :  return min
   elif( x > max ) :  return max
   else :             return x


def fractalize(pts) :
   print("Fractalize")
   print(pts)
   points = []
   for v in range(0, len(pts)):
      p1 = pts[v]
      print(p1)
      points.append(p1)
      p2 = pts[0] if v >= len(pts)-1 else pts[v+1];
      d = distance(p1,p2)
      # print(d)
      r = d*0.52
      ps1,ps2 = circle_intersection((p1[0],p1[1],r), (p2[0],p2[1],r))
      print(ps1)
      # print(ps2)
      if random.randint(1,2) == 2:
         points.append(ps2)
      else:
         points.append(ps1)
   return points

# Distance function
def distance(p1,p2):
   sq1 = (p1[0]-p2[0])*(p1[0]-p2[0])
   sq2 = (p1[1]-p2[1])*(p1[1]-p2[1])
   return math.sqrt(sq1 + sq2)

def circle_intersection(circle1, circle2):
   '''
   @summary: calculates intersection points of two circles
   @param circle1: tuple(x,y,radius)
   @param circle2: tuple(x,y,radius)
   @result: tuple of intersection points (which are (x,y) tuple)
   '''
   # return self.circle_intersection_sympy(circle1,circle2)
   x1,y1,r1 = circle1
   x2,y2,r2 = circle2
   # http://stackoverflow.com/a/3349134/798588
   dx,dy = x2-x1,y2-y1
   d = math.sqrt(dx*dx+dy*dy)
   if d > r1+r2:
      print("#1")
      return None # no solutions, the circles are separate
   if d < abs(r1-r2):
      print("#2")
      return None # no solutions because one circle is contained within the other
   if d == 0 and r1 == r2:
      print("#3")
      return None # circles are coincident and there are an infinite number of solutions

   a = (r1*r1-r2*r2+d*d)/(2*d)
   h = math.sqrt(r1*r1-a*a)
   xm = x1 + a*dx/d
   ym = y1 + a*dy/d
   xs1 = xm + h*dy/d
   xs2 = xm - h*dy/d
   ys1 = ym - h*dx/d
   ys2 = ym + h*dx/d

   return (xs1,ys1),(xs2,ys2)

# create maps export folder
base = "maps"
now = datetime.datetime.now()
now = now.strftime("%Y-%m-%d_%X")
print(now)
directory = base + "/" + now
try:
   os.makedirs(directory)
except OSError as exception:
   if exception.errno != errno.EEXIST:
      raise


for i in range(0, 1):

   nv = random.randint(5,30)
   verts = generatePolygon( ctrX=500, ctrY=500, aveRadius=300, irregularity=1, spikeyness=0.4, numVerts=nv )

   index = str(i) if i > 9 else '0'+str(i)

   #    ______    ________
   #   / ___/ |  / / ____/
   #   \__ \| | / / / __
   #  ___/ /| |/ / /_/ /
   # /____/ |___/\____/

   svg = svgwrite.Drawing(filename = directory+"/map"+index+".svg",size = ("1000px", "1000px"))

   # print(len(verts))
   for v in range(0, len(verts)):
      # print('---- '+str(v)+' ----')
      p1 = verts[v]
      p2 = verts[0] if v >= len(verts)-1 else verts[v+1];
      # print(p1)
      # print(p2)

      # if random.randint(0,10) > 8:
      #    sda = "4 4"
      #    sdo = "5"
      # else:
      sda = "0 0"
      sdo = "0"

      line = svg.line(p1, p2,
         stroke_width = "1",
         stroke = "black",
         stroke_linecap = "round",
         stroke_dasharray = sda,
         stroke_dashoffset = sdo)
      svg.add(line)

   svg.save()


   #     __    _ __
   #    / /_  (_) /_____ ___  ____ _____
   #   / __ \/ / __/ __ `__ \/ __ `/ __ \
   #  / /_/ / / /_/ / / / / / /_/ / /_/ /
   # /_.___/_/\__/_/ /_/ /_/\__,_/ .___/
   #                            /_/
   # black = (0,0,0)
   # white=(255,255,255)
   # im = Image.new('RGB', (1000, 1000), white)
   # imPxAccess = im.load()
   # draw = ImageDraw.Draw(im)
   # tupVerts = list(map(tuple,verts))
   #
   # # either use .polygon(), if you want to fill the area with a solid colour
   # # draw.polygon( tupVerts, outline=black,fill=white )
   #
   # # or .line() if you want to control the line thickness, or use both methods together!
   # draw.line( tupVerts+[tupVerts[0]], width=1, fill=black )
   #
   # # im.show()
   # im.save(directory+'/map-'+str(index)+'.bmp')
   # # now you can save the image (im), or do whatever else you want with it.