Question

Write a python function that will return the total length of line that passes through any number of provided points ( (x,y) ). The points should be passed as individual tuples or lists. The function should also have a parameter (True or False) to indicate whether the line should start from the origin, and that parameter should default to False. If True, the returned value should include the distance from the origin to the first point, otherwise start adding distances from the first point. So a function call could look something like this:

dist = lineLength((1,2), (2,3), (7,4), start=False)

Demonstrate it in your main program by calculating the length of line going through the following 5 points (with and without the origin option set to True):

(1,1), (-2,4), (-3,-2), (2,-1), (1,1)

Answer 1

import math

def findSlope(A,B):
  slopeVal = (B[1]-A[1])/B[0]-A[0]
  return slopeVal

def findSum(distance): # sum of all linesegments
  sumval = 0
  for k in distance:
    sumval += distance[k]
  return sumval

def findDist(point1,point2): # distance between 2 points
  return (math.sqrt((point1[0]-point2[0])**2 + (point1[1]-point2[1])**2))

def linelength (tupleList,start):
  distance = {}
  if start:
    for point in tupleList:
      slopeVal = findSlope((0,0),point)
      if slopeVal in distance.keys(): # if there are no points in the given list with calc slope add it in available slopes
        distance[slopeVal] = max(distance[slopeVal],findDist((0,0),point))
      else: # if multiple points are with same slope then pick the largest line segment that passes through point and lies in the given list
        distance[slopeVal] = findDist((0,0),point)
    return findSum(distance)
  else:
    for i in range(1,len(tupleList)):
      slopeVal = findSlope(tupleList[0],tupleList[i])
      if slopeVal in distance.keys(): # if there are no points in the given list with calc slope add it in available slopes
        distance[slopeVal] = max(distance[slopeVal],findDist(tupleList[0],tupleList[i]))
      else: # if multiple points are with same slope then pick the largest line segment that passes through point and lies in the given list
        distance[slopeVal] = findDist(tupleList[0],tupleList[i])
    return findSum(distance)
  return 0

def main():
  tupleList = [(1,1), (-2,4), (-3,-2), (2,-1), (1,1)]
  dist = linelength(tupleList,True)
  print(dist)
main()

Comment in case of any doubts, Please upvote