extrusion-width

#!/usr/bin/python

import sys
import math
import re
import collections
import os

filament_diameter = 1.75;

layer_height = float(os.getenv('layer_height', 0.2))
point = collections.namedtuple('point', ['x', 'y', 'e'])
area = math.pi * (filament_diameter ** 2) / 4

def parse_coord(line):
    coord_regex = r'([^ ]+)'
    x = float(re.search('X' + coord_regex, line).group(1))
    y = float(re.search('Y' + coord_regex, line).group(1))
    e = float(re.search('E' + coord_regex, line).group(1))

    return point(x, y, e)

def distance(p1, p2):
    return math.sqrt((p1.x - p2.x) ** 2 + (p1.y - p2.y) ** 2)

def extrusion_width(p1, p2):
    dist = distance(p1, p2)

    volume = area * abs(p1.e - p2.e)

    diameter = layer_height
    circle_area = (diameter ** 2) * math.pi / 4
    extrusion_crosssection_area = volume / dist

    rectangular_width = ((extrusion_crosssection_area - circle_area) /
                         layer_height)

    return diameter + rectangular_width

line1 = sys.stdin.readline().strip()
line2 = sys.stdin.readline().strip()

point1 = parse_coord(line1)
point2 = parse_coord(line2)

print extrusion_width(point1, point2)