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88 changes: 88 additions & 0 deletions PointPattern.py
Original file line number Diff line number Diff line change
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from .point import Point
from . import analytics
import random
import numpy as np

def PointPattern(object):
def __init__(self):
self.points = []

def average_nearest_neighbor_distance(self, mark=None):
return analytics.average_nearest_neighbor_distance(self.points, mark)

def add_point(self, point):
self.points.append(point)

def remove_point(self, index):
del(self.points[index])

def count_coincident_points(self):
count = 0
coincidnet_list = []

for i, point in enumerate(self.points):
for j, point2 in enumerate(self.points):
if i is j:
continue
if j in coincident_list:
continue
#Should use the magic method in point class
if point == point2:
count += 1
coincident_list.append(j)
return count

def list_marks(self):
marks = []

for point in self.points:
if point.mark is not None and point.mark not in marks:
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marks.append(point.mark)

def return_subset(self, mark):
#creates a list of points that have the same mark as passed
return [i for i in self.points if i == mark]
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For a really fun approach, you could use filter. Not required, but a more 'functional' approach. The list comprehension you used is more Pythonic, so not real black and white rule for which is 'better'.


def create_random_points(self, n=None):
rand_points = []
rand = random.Random()
marks = ['North', 'East', 'South', 'West']

if n is None:
n = len(self.points)

for i in range(n):
rand_points.append(point.Point(rand.randint(1,100), rand.randint(1,100), mark=rand.choice(marks)))

return rand_points

def create_realizations(self, k):
return analytics.permutations(k)

def critical_points(self):
return analytics.find_criticals(self.create_realizations(99))

def compute_g(self, nsteps):
ds = np.linspace(0, 100, nsteps)
g_sum = 0

for step in range(nsteps):
o_i = ds[step]
min_dis = None
for i, j in enumerate(ds):

temp = abs(j - o_i)

if i is step:
continue
if min_dis is None:
min_dis = temp
elif min_dis > temp:
min_dis = temp
else:
continue
g_sum += min_dis
return g_sum / nsteps



Empty file added __init__.py
Empty file.
274 changes: 274 additions & 0 deletions analytics.py
Original file line number Diff line number Diff line change
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#analytics
import math
import json
import sys
import os

sys.path.insert(0, os.path.abspath('..'))

from . import utils
from . import point

def find_largest_city(gj):
"""
Iterate through a geojson feature collection and
find the largest city. Assume that the key
to access the maximum population is 'pop_max'.

Parameters
----------
gj : dict
A GeoJSON file read in as a Python dictionary

Returns
-------
city : str
The largest city

population : int
The population of the largest city
"""
temp = gj['features']
city = ""
max_population = 0

for i in temp:
if (i['properties']['pop_max'] > max_population):
max_population = i['properties']['pop_max']
city = i['properties']['name']

return city, max_population

def write_your_own(gj):
"""
Here you will write your own code to find
some attribute in the supplied geojson file.

Take a look at the attributes available and pick
something interesting that you might like to find
or summarize. This is totally up to you.

Do not forget to write the accompanying test in
tests.py!
"""
#Finds how many megacities there are in the geoJSON
temp = gj['features']
megacities = 0

for i in temp:
if(i['properties']['megacity'] == 1):
megacities += 1


return megacities

def mean_center(points):
"""
Given a set of points, compute the mean center

Parameters
----------
points : list
A list of points in the form (x,y)

Returns
-------
x : float
Mean x coordinate

y : float
Mean y coordinate
"""

x = 0
y = 0

for point in points:
x += point[0]
y += point[1]

x = x / len(points)
y = y / len(points)

return x, y

def average_nearest_neighbor_distance(points, mark=None):
"""
Given a set of points, compute the average nearest neighbor.

Parameters
----------
points : list
A list of points in the form (x,y)

Returns
-------
mean_d : float
Average nearest neighbor distance

References
----------
Clark and Evan (1954 Distance to Nearest Neighbor as a
Measure of Spatial Relationships in Populations. Ecology. 35(4)
p. 445-453.
"""

temp_points = []

if mark is not None:
for point in points:
if point.mark is mark:
temp_points.append(point)
else:
temp_points = points

nearest = []

for i, point in enumerate(temp_points):
nearest.append(None)
for j, point2 in enumerate(temp_points):
if i is not j:
dist = euclidean_distance((point.x, point.y), (point2.x, point2.y))
if nearest[i] == None:
nearest[i] = dist
elif nearest[i] > dist:
nearest[i] = dist

mean_d = sum(nearest) / len(points)

return mean_d

def minimum_bounding_rectangle(points):
"""
Given a set of points, compute the minimum bounding rectangle.

Parameters
----------
points : list
A list of points in the form (x,y)

Returns
-------
: list
Corners of the MBR in the form [xmin, ymin, xmax, ymax]
"""

first = True
mbr = [0,0,0,0]

for point in points:
if first:
first = False
mbr[0] = point[0]
mbr[1] = point[1]
mbr[2] = point[0]
mbr[3] = point[1]

if point[0] < mbr[0]:
mbr[0] = point[0]
if point[1] < mbr[1]:
mbr[1] = point[1]
if point[0] > mbr[2]:
mbr[2] = point[0]
if point[1] > mbr[3]:
mbr[3] = point[1]

return mbr

def mbr_area(mbr):
"""
Compute the area of a minimum bounding rectangle
"""
area = (mbr[1] - mbr[3]) * (mbr[0] - mbr[2])
return area

def expected_distance(area, n):
"""
Compute the expected mean distance given
some study area.

This makes lots of assumptions and is not
necessarily how you would want to compute
this. This is just an example of the full
analysis pipe, e.g. compute the mean distance
and the expected mean distance.

Parameters
----------
area : float
The area of the study area

n : int
The number of points
"""

expected = 0.5 * (area / n) ** 0.5
return expected

def manhattan_distance(a, b):
"""
Compute the Manhattan distance between two points

Parameters
----------
a : tuple
A point in the form (x,y)

b : tuple
A point in the form (x,y)

Returns
-------
distance : float
The Manhattan distance between the two points
"""
distance = abs(a[0] - b[0]) + abs(a[1] - b[1])
return distance

def euclidean_distance(a, b):
"""
Compute the Euclidean distance between two points

Parameters
----------
a : tuple
A point in the form (x,y)

b : tuple
A point in the form (x,y)

Returns
-------

distance : float
The Euclidean distance between the two points
"""
distance = math.sqrt((a[0] - b[0])**2 + (a[1] - b[1])**2)
return distance


def permutations(p=99, n=100, marks=None):
perms = []

if marks is None:
for i in range(p):
perms.append(average_nearest_neighbor_distance(utils.create_random_marked_points(n, marks=None)))

else:
for i in range(p):
perms.append(average_nearest_neighbor_distance(utils.create_random_marked_points(n, marks)))

return perms

def find_criticals(perms):
lower = min(perms)
upper = max(perms)
return lower, upper

def check_significance(lower, upper, observed):
if observed > upper:
return True
elif observed < lower:
return True
else:
return False
22 changes: 22 additions & 0 deletions io_geojson.py
Original file line number Diff line number Diff line change
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#io_geojson
import json

def read_geojson(input_file):
"""
Read a geojson file

Parameters
----------
input_file : str
The PATH to the data to be read

Returns
-------
gj : dict
An in memory version of the geojson
"""
# Please use the python json module (imported above)
# to solve this one.
with open(input_file, 'r') as f:
gj = json.load(f)
return gj
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