def hilbert_gen(order, size, pos=t.Vec2D(0, 0), heading=t.Vec2D(0, 1)):
def draw_hilbert(symbols, order, size):
if order == 0:
return
for symbol in symbols:
op = operations[symbol]
yield from op(order-1, size)
def forward(order, size):
nonlocal pos
pos += heading * size
yield pos
def right(order, size):
nonlocal heading
heading = heading.rotate(90)
return
yield
def left(order, size):
nonlocal heading
heading = heading.rotate(-90)
return
yield
operations = {
'X': partial(draw_hilbert, 'XFYFX+F+YFXFY-F-XFYFX'),
'Y': partial(draw_hilbert, 'YFXFY-F-XFYFX+F+YFXFY'),
'F': forward,
'+': right,
'-': left,
}
yield from draw_hilbert('X', order, size)
def test_mt(self):
agent = t.Turtle()
# First Quadrant
expected = t.Vec2D(5, 10)
geoLib.mt(agent, expected, 20)
self.assertEqual(agent.pos(), expected)
# Second Quadrant
expected = t.Vec2D(-50, 110)
geoLib.mt(agent, expected, 20)
self.assertEqual(agent.pos(), expected)
# Third Quadrant
expected = t.Vec2D(-10, -20)
geoLib.mt(agent, expected, 20)
self.assertEqual(agent.pos(), expected)
# Fourth Quadrant
expected = t.Vec2D(20, -120)
geoLib.mt(agent, expected, 20)
self.assertEqual(agent.pos(), expected)
class TurtleState:
currentPosition = turtle.Vec2D(0, 0)
currentAttitude = turtle.Vec2D(
1, 0) # Represents an angle in a nice computable way
currentPenState = PenState.DOWN
def move(self, distance: int):
logging.info("simulating move {0}".format(distance))
self.currentPosition = self.currentPosition + distance * self.currentAttitude
def turn(self, angle: int):
logging.info("simulating turn {0} degree".format(angle))
self.currentAttitude = self.currentAttitude.rotate(angle)
def penup(self):
logging.info("simulating pen UP")
self.currentPenState = PenState.UP
def pendown(self):
logging.info("simulating pen DOWN")
self.currentPenState = PenState.DOWN
# Adding these to complete the model with a minimum of useful functions
def home(self):
logging.info("simulating going home")
self.currentPosition = turtle.Vec2D(0, 0)
self.currentAttitude = turtle.Vec2D(1, 0)
def _letter_to_baseline_coords(letter, height, base_xy, base_heading):
"""rotate letter points to match a baseline
Users should not typically have to access this helper function,
as text() will rotate text to match the base_heading"""
# lower left corner "normalized" to height 1
xmin, ymin = letter.get_start_delta(1)
letter_points = []
# this all could probably be done much more concisely,
# but it helped me to debug it to break it down into steps
for point in letter.data:
# the "raw" letter data
x, y = point
# translate to have lower-left at (0,0)
lx = x - xmin
ly = y
# rotate it
xy = turtle.Vec2D(lx, ly).rotate(base_heading)
# translate to the start position
delta_left = letter.get_delta_left(1)
width = letter.get_width(1)
xy += turtle.Vec2D(xmin + delta_left, 0).rotate(base_heading)
# now with height
hxy = turtle.Vec2D(*xy) * height
# translate along the baseline
tx, ty = turtle.Vec2D(*hxy) + turtle.Vec2D(*base_xy)
letter_points.append((tx, ty))
return letter_points
def goto(self, x, y=None):
__doc__ = turtle.Turtle.goto.__doc__
if y is None:
self._goto(turtle.Vec2D(*x))
else:
self._goto(turtle.Vec2D(x, y))
def test_dist(self):
vec1 = t.Vec2D(0, 0)
vec2 = t.Vec2D(3, 4)
actual = geoLib.dist(vec1, vec2)
self.assertEqual(round(actual, 2), 5.00)
async def goto(self, x, y=None):
__doc__ = turtle.Turtle.goto.__doc__
with (await self.lock):
if y is None:
await self._goto(turtle.Vec2D(*x))
else:
await self._goto(turtle.Vec2D(x, y))
def drawarrow(self, end, start=None):
startvec = turtle.Vec2D(*start) if start is not None else t.pos()
endvec = turtle.Vec2D(*end)
lineend = endvec + (startvec - endvec) * (self.pensize() /
abs(startvec - endvec))
self.drawline(lineend, start)
arrowhead = self.drawarrowhead(end, self.heading(), self.pencolor())
arrowhead.showturtle()
def draw_tri(origin, size, angle):
cur_point = t.Vec2D(*origin)
orientation = t.Vec2D(1, 0).rotate(angle)
goto(*cur_point)
cur_point += orientation * size
lineto(*cur_point)
cur_point += orientation.rotate(-120) * size
lineto(*cur_point)
lineto(*origin)
def __init__(self, switch, coords):
if switch == 0:
self.pos = turtle.Vec2D(random.randrange(-200, 201),
random.randrange(-200, 201))
elif switch == 1:
self.pos = turtle.Vec2D(coords[0], coords[1])
tf.draw_point(turk, self.pos, Location.count)
send_to_console(right_text,
"Loc %r pos: %r \n" % (Location.count, self.pos))
Location.count += 1
def test_mv_team(self):
# Define the team of agents.
upperRight = t.Turtle()
lowerRight = t.Turtle()
lowerLeft = t.Turtle()
upperLeft = t.Turtle()
agents = [upperRight, lowerRight, lowerLeft, upperLeft]
geolib.hide_all(agents)
geolib.set_speed(agents)
# Define their starting positions
origins = [
t.Vec2D(300, 300),
t.Vec2D(300, -300),
t.Vec2D(-300, -300),
t.Vec2D(-300, 300)
]
dests = [
t.Vec2D(300, -300),
t.Vec2D(-300, -300),
t.Vec2D(-300, 300),
t.Vec2D(300, 300)
]
# Move.
geolib.mv_team(agents, origins, dests, 5)
def __init__(self, tshape, tcolor, x, y):
t.Turtle.__init__(self)
self.penup()
self.speed(0)
self.shape(tshape)
self.shapesize(stretch_wid=0.6, stretch_len=1.1, outline=None)
self.color(tcolor)
self.r = 3.0
self.speed = 1
self.max_speed = 4.0
self.max_force = 0.1
self.acceleration = t.Vec2D(0, 0)
self.velocity = t.Vec2D(0, 0)
self.location = t.Vec2D(x, y)
def test_pa(self):
agent = t.Turtle()
expected = t.Vec2D(5, 10)
geoLib.pa(agent, expected)
self.assertEqual(agent.pos(), expected)
def _draw_letter(self, letter_obj, spacing):
"""Draw a letter object
It is recommended to use text()
rather than this helper function for most cases
(You can call text() with a single character, if you like)
"""
base_heading = self.heading()
xy_start = self.position()
segment_length = letter_obj.get_width(self.text_height) + spacing
self.penup()
p_data = _letter_to_baseline_coords(letter_obj, self.text_height,
xy_start, base_heading)
for i, p in enumerate(p_data):
# The first move positions the turtle for writing the character
# (which may not start at the current position)
# so do not put the pen down on the first move.
# For a space character, there is a special case to not put the
# pen down.
if i > 0 and not letter_obj.is_space:
self.pendown()
self.head_to(*p)
self.penup()
xy_start += turtle.Vec2D(segment_length, 0).rotate(base_heading)
self.head_to(*xy_start)
self.setheading(base_heading)
class TurtleState(typing.NamedTuple):
"""
Immutable public State
"""
position: turtle.Vec2D = turtle.Vec2D(0, 0)
angle: int = 1 * ureg.degrees # pint and types ???
pen: PenState = PenState.DOWN
def draw_grid(turt, size):
""" supply turtle and size - produces
cartesian coordinate grid with red
central axis, and coord labels """
turt.ht()
corner_list = [
turtle.Vec2D(-size / 2, -size / 2),
turtle.Vec2D(size / 2, -size / 2),
turtle.Vec2D(size / 2, size / 2),
turtle.Vec2D(-size / 2, size / 2)
] # set coords
# outer grid
turt.goto(corner_list[0]) # goto start
turt.pd()
turt.color("white")
turt.write(turt.position(), True, align="right")
for i in range(1, 4):
turt.goto(corner_list[i])
if i == 3:
turt.write(turt.position(), True, align="right")
else: # reallign text for right side
turt.pu()
turt.write(turt.position(), True, align="left")
turt.pu()
turt.goto(corner_list[i]) # reallign after writing
turt.pd()
turt.goto(corner_list[0]) # back to start
# inner grid
for j in range(2):
turt.pd()
turt.forward(size / 4)
turt.left(90)
turt.forward(size)
turt.right(90)
turt.forward(size / 4)
turt.right(90)
turt.color("red")
turt.forward(size)
turt.left(90)
turt.color("white")
turt.forward(size / 4)
turt.left(90)
turt.forward(size)
turt.pu()
if j == 0:
turt.goto(corner_list[1])
class TurtleState:
# Immutable state
state = (turtle.Vec2D(0, 0), turtle.Vec2D(1, 0), PenState.DOWN)
@property
def position(self):
return self.state[0]
@property
def attitude(self):
return self.state[1]
@property
def penState(self):
return self.state[2]
# Note : using self is how we pass the state(=instance) around in python !
def move(self, distance: int):
endPosition = self.position + distance * self.attitude
# mutating the state(=instance)
self.state = (endPosition, self.attitude, self.penState)
return self
def turn(self, angle: int):
# mutating the state(=instance)
self.state = (self.position, self.attitude.rotate(angle),
self.penState)
return self
def penup(self):
# mutating the state(=instance)
self.state = (self.position, self.attitude, PenState.UP)
return self
def pendown(self):
# mutating the state(=instance)
self.state = (self.position, self.attitude, PenState.DOWN)
return self
# Adding these to complete the model with a minimum of useful functions
def home(self):
# mutating the state(=instance)
self.state = (turtle.Vec2D(0, 0), turtle.Vec2D(1, 0), self.penState)
return self
def draw_tri_filled(origin, size, angle):
origin = t.Vec2D(*origin)
spacing = pen_width
corner = t.Vec2D(1, 0).rotate(angle - 30)
goto(*origin)
while size > spacing:
cur_point = t.Vec2D(*origin)
orientation = t.Vec2D(1, 0).rotate(angle)
lineto(*cur_point)
cur_point += orientation * size
lineto(*cur_point)
cur_point += orientation.rotate(-120) * size
lineto(*cur_point)
lineto(*origin)
size -= 2 * spacing * SQRT_3
origin += corner * spacing * 2
def legit_route(self, x, y):
if snake.hard_mode is True and not self.check_if_inside_border():
return False
given_position = turtle.Vec2D(x, y)
for position in self.route[0:len(self.route) - 1]:
if given_position == position:
return False
else:
return True
def check_if_apple(self):
apple_position = turtle.Vec2D(self.apple_x, self.apple_y)
if self.position() == apple_position:
self.snake_length += 1
self.score += 1
self.apple.clearstamp(self.apple_stamp)
self.place_apple()
return True
else:
return False
class TurtleState:
_position = turtle.Vec2D(0, 0)
_attitude = turtle.Vec2D(1, 0)
_penState = PenState.DOWN
# Read-only state
@property
def position(self):
return self._position
@property
def attitude(self):
return self._attitude
@property
def penState(self):
return self._penState
# Note : using self is how we pass the state(=instance) around in python !
def move(self, distance: int):
endPosition = self.position + distance * self.attitude
# mutating the state(=instance)
self._position = endPosition
def turn(self, angle: int):
# mutating the state(=instance)
self._attitude = self.attitude.rotate(angle)
def penup(self):
logging.info("simulating pen UP")
self._penState=PenState.UP
def pendown(self):
logging.info("simulating pen DOWN")
self._penState=PenState.DOWN
# Adding these to complete the model with a minimum of useful functions
def home(self):
logging.info("simulating going home")
self._position=turtle.Vec2D(0, 0)
self._attitude=turtle.Vec2D(1, 0)
def draw_grid(turt, size):
turt.ht()
""" supply turtle and size - produces
square of width/length = size
with 0,0 at centre """
corner_list = [
turtle.Vec2D(-size / 2, -size / 2),
turtle.Vec2D(size / 2, -size / 2),
turtle.Vec2D(size / 2, size / 2),
turtle.Vec2D(-size / 2, size / 2)
] # set coords
# outer grid
turt.goto(corner_list[0]) # goto start
turt.pd()
turt.color("white")
turt.write(turt.position(), True, align="right")
for i in range(1, 4):
turt.goto(corner_list[i])
turt.write(turt.position(), True, align="right")
turt.pu()
turt.goto(corner_list[i]) # reallign after writing
turt.pd()
turt.goto(corner_list[0]) # back to start
# inner grid
for j in range(2):
turt.pd()
turt.forward(size / 4)
turt.left(90)
turt.forward(size)
turt.right(90)
turt.forward(size / 4)
turt.right(90)
turt.color("red")
turt.forward(size)
turt.left(90)
turt.color("white")
turt.forward(size / 4)
turt.left(90)
turt.forward(size)
turt.pu()
if j == 0:
turt.goto(corner_list[1])
def draw_shape(agent, num_edges, radius, start_point=t.Vec2D(0, 0)):
side_len = calc_side_len(num_edges, radius)
vertex_angle = calc_vertex_angle(num_edges)
# Go to first vertex
# geolib.pa(agent, start_point + t.Vec2D(radius, 0))
for i in range(num_edges):
# Turn
agent.lt(math.pi - vertex_angle)
agent.fd(side_len)
def intro():
pen = turtle.Turtle()
pen.hideturtle()
pen.penup()
pen.color("blue")
pen.goto(
turtle.Vec2D(-sc.window_width() // 2 + 200,
sc.window_height() // 2 - 200))
pen.write(text["welcome"], font=font_title)
time.sleep(sleep_time)
picture = turtle.Turtle()
picture.shape("icon.gif")
time.sleep(sleep_time)
pen.goto(
turtle.Vec2D(-sc.window_width() // 2 + 200,
-sc.window_height() // 2 + 100))
pen.color("black")
pen.write(text["next"], font=font)
sc.onkeypress(next_slide, "space")
sc.listen()
def make_square(agents, x_dim, y_dim, steps):
# Origins are the corners of which the turtles start.
origins = [t.Vec2D(x_dim, y_dim), t.Vec2D(x_dim, -1 * y_dim), t.Vec2D(-1 * x_dim, -1 * y_dim), t.Vec2D(-1 * x_dim, y_dim)]
# Destinations are the same as origins but shifted one to the left.
dests= [t.Vec2D(x_dim, -1 * y_dim), t.Vec2D(-1 * x_dim, -1 * y_dim), t.Vec2D(-1 * x_dim, y_dim), t.Vec2D(x_dim, y_dim)]
mv_team(agents, origins, dests, steps)
def hilbert_gen(order, size, pos=t.Vec2D(0, 0), heading=t.Vec2D(0, 1)):
inc = size / ((2 ** (order-1)) - 1)
def draw_hilbert(symbols, order):
if order == 0:
return
for symbol in symbols:
op = operations[symbol]
yield from op(order-1)
def forward(order):
nonlocal pos
pos += heading * inc
yield pos
def right(order):
nonlocal heading
heading = heading.rotate(90)
return
yield
def left(order):
nonlocal heading
heading = heading.rotate(-90)
return
yield
operations = {
'A': partial(draw_hilbert, '-BF+AFA+FB-'),
'B': partial(draw_hilbert, '+AF-BFB-FA+'),
'F': forward,
'+': right,
'-': left,
}
yield from draw_hilbert('A', order)
def draw_sun():
t.pendown()
pos = t.Vec2D(-220, 120)
abs_default = abs(pos)
t.goto(pos)
t.color('red', 'yellow')
t.begin_fill()
while True:
t.forward(200)
t.left(130)
abs_current = abs(t.pos())
if abs_current < abs_default + 1 and abs_current > abs_default - 1:
# if int(curPos[0]) == -219 and int(curPos[1]) == 119:
break
t.end_fill()
t.penup()
def outOfBounds(self, screen):
'''
screen : 2D canvas where the turtle draw and roam around
'''
#Establishing the canvas boundaries
leftBound = -screen.window_width() / 2
rightBound = screen.window_width() / 2
topBound = screen.window_height() / 2
bottomBound = -screen.window_height() / 2
turtleX = self.xcor()
turtleY = self.ycor()
location = self.pos()
origin = turtle.Vec2D(0, 0)
#When turtle reaches boundary based on its coordinates \ make it turn around and move forward back to the canvas
if turtleX > rightBound or turtleX < leftBound and turtleY > topBound or turtleY < bottomBound:
self.undo()
angle = Vec2DExpansion().findAngle(location, origin)
self.setheading(angle)
self.forward(100)
def sierpinski(coord, degree, myTurtle):
drawRectangle(coord, colours[degree], myTurtle)
if degree > 0:
origin = coord[0] * (2 / 3
) # vectors multiply by a scalar, but not divide
coord = [point * (1 / 3) for point in coord
] # new rectangle is 1/3 size of old rectangle
width, height = coord[2] - coord[0] # vector subtraction
for y in range(3):
for x in range(3):
if x == 1 == y:
continue # leave hole in the center
offset = origin + turtle.Vec2D(width * x, height * y)
sierpinski([offset + point for point in coord], degree - 1,
myTurtle)
if __name__ == '__main__':
t.tracer(500)
t.setworldcoordinates(0, 8, 8, 0)
t.hideturtle()
ad = axidraw.AxiDraw()
ad.interactive()
ad.options.const_speed = True
ad.connect()
ad.pendown()
order = 6
size = .032
# size = 100 / (2 ** order) - 2
# 2 8 26
points_gen = hilbert_gen(order, size, heading=t.Vec2D(1, 0))
rx = random.uniform(-1, 1)
ry = random.uniform(-1, 1)
for (x, y) in points_gen:
# weight = get_weight(x, y) * size * 2
# rx = lerp(rx, random.uniform(-1, 1), 0.6)
# ry = lerp(ry, random.uniform(-1, 1), 0.6)
# x += weight*rx
# y += weight*ry
t.goto(x, y)
t.update()
ad.goto(x, y)
t.update()
t.done()
