import math
import sys

class SvgTurtle():
    def __init__(self, homex=0, homey=0):
        self.homex    = homex
        self.homey    = homey
        self.cvtangle = math.tau/360
        self.reset()

    def penup(self):
        self.pen      = False

    def pendown(self):
        self.pen      = True

    def forward(self, distance):
        if self.pen and (self.path == ''):
            self.path = "M %.2f,%.2f" % (self.x,self.y)
        dx = distance*math.cos(self.heading)
        dy = distance*math.sin(self.heading)
        self.x += dx
        self.y += dy
        if self.pen:
            if abs(dy) < .01:
                self.path += " h %.2f" % dx
            elif abs(dx) < .01:
                self.path += " v %.2f" % dy
            else:
                self.path += " l %.2f,%.2f" % (dx, dy)
        elif self.path != '':
            self.path += " m %.2f, %.2f" % (dx, dy)

    def back(self, distance):
        self.forward(-distance)

    def left(self, angle):
        self.right(-angle)

    def right(self, angle):
        self.heading = (self.heading + angle*self.cvtangle) % math.tau

    def to_s(self):
        return self.path

    def home(self):
        self.x        = self.homex
        self.y        = self.homey
        self.heading  = 0

    def reset(self):
        self.path = ''
        self.pen  = True
        self.home()