"""
Author: Sohie Lee
Purpose: Recursion Lab Solutions: drawing with turtles recursively and returning values
Filename: recursiveTurtles.py
"""


from turtle import *


# Provided helper function
# You can, but don't need to, change anything in this function
def initializeTurtle():
    ''' Initialize turtle on Canvas before drawing '''

    # Create a turtle window
    setup(800, 600)
    reset() 
    pencolor('black')

    # Set the speed (1=slowest, 6=normal, 10=fast, 0=No animation)
    speed(1)

    # Move the turtle from it's default start point (center)
    pu()
    setx(-200)
    sety(-200)
    pd()
    
    # Magical statements to make turtle window come to top of screen
    getscreen()._root.attributes('-topmost', True)
    getscreen()._root.attributes('-topmost', False)



# ------------------------------------
# Task 1. fruitfulRow
# ------------------------------------
def fruitfulRow(size, shrinkFactor, minimumSize):
    if size < minimumSize:
        return 0
    else:
        square(size)
        fd(size)
        numberBoxes = 1 + fruitfulRowTuple(size*shrinkFactor, shrinkFactor, minimumSize)
        bk(size)
        return numberBoxes        
# ------------------------------------
# Hint for task 2
# ------------------------------------
def pad(x, y, padding):
    return x + padding, y + padding

#x, y = pad(300, 200, 10)
   
#print x # 310
#print y # 210

def fruitfulRowTuple(size, shrinkFactor, minimumSize):
    if size < minimumSize:
        return 0,0
    else:
        square(size)
        fd(size)
        boxes, distance = fruitfulRowTuple(size*shrinkFactor, shrinkFactor, minimumSize)
        bk(size)
        return 1 + boxes, (4 * size) + distance

# ------------------------------------
# Task 3. nestedSquares
# ------------------------------------
def nestedSquares(size, shrinkFactor, minSize, color):
    """ Draws a series of nested squares starting w/ dimensions `size` x `size,
    reducing by `shrinkFactor` each time
    and stopping when the next would be less than `minSize`.
    Returns a tuple of the total number of squares drawn 
    and "length travelled" by the turtle.
    """

    pencolor(color)

    # Base case
    if size <= minSize:

        # No squares are made and no length is travelled in the base case
        return 0, 0

    else:

        # Draw a single square
        fd(size)
        lt(90)
        fd(size)
        lt(90)
        fd(size)
        lt(90)
        fd(size)
        lt(90)


        # Recursion
        squaresDrawn, lengthTravelled = nestedSquares(size * shrinkFactor, shrinkFactor, minSize, color)

        # Return the ongoing totals
        return squaresDrawn + 1, lengthTravelled + (size * 4)


# ------------------------------------
# Task 4. windows (squares at 2 corners)
# ------------------------------------
def windows(size, shrinkFactor, minSize, color):

    pencolor(color)

    # Base case
    if size <= minSize:

        # No squares are made and no length is travelled in the base case
        return 0, 0

    else:

        # Draw corner
        fd(size)
        lt(90)
        fd(size)
        lt(90)
        
        # Recursion A
        squaresDrawnA, lengthTravelledA = windows(size * shrinkFactor, shrinkFactor, minSize, color)


        # Draw corner
        fd(size)
        lt(90)
        fd(size)
        lt(90)

        # Recursion B
        squaresDrawnB, lengthTravelledB = windows(size * shrinkFactor, shrinkFactor, minSize, color)


        # Return the ongoing totals
        return squaresDrawnA + squaresDrawnB + 1, lengthTravelledA + lengthTravelledB + (4 * size)
        

# ------------------------------------
# Task 5. boxes (squares at 4 corners)
# ------------------------------------
def boxes(size, shrinkFactor, minSize, color):

    pencolor(color)

    # Base case
    if size <= minSize:

        # No squares are made, no length is travelled in the base case
        return 0, 0

    else:

        # Draw a side
        fd(size)
        lt(90)

        # Recursion A
        squaresDrawnA, lengthTravelledA = boxes(size * shrinkFactor, shrinkFactor, minSize, color)


        # Draw a side
        fd(size)
        lt(90)

        # Recursion B
        squaresDrawnB, lengthTravelledB = boxes(size * shrinkFactor, shrinkFactor, minSize, color)


        # Draw a side
        fd(size)
        lt(90)

        # Recursion C
        squaresDrawnC, lengthTravelledC = boxes(size * shrinkFactor, shrinkFactor, minSize, color)


        # Draw a side
        fd(size)
        lt(90)

        # Recursion D
        squaresDrawnD, lengthTravelledD = boxes(size * shrinkFactor, shrinkFactor, minSize, color)


        # Totals
        totalSquaresDrawn = 1 + squaresDrawnA + squaresDrawnB + squaresDrawnC + squaresDrawnD
        totalLengthTravelled = (size * 4) + lengthTravelledA + lengthTravelledB + lengthTravelledC + lengthTravelledD
        
        return totalSquaresDrawn, totalLengthTravelled


def run():
    initializeTurtle()

    # Task 1
    #print row(300, 30) # 2
    #print row(90, 20) # 1
    
    # Task 2
    #print rowImproved(300, 30) # (2,240)
    #print rowImproved(60, 10) # (1,40)

    # Task 3
    #print nestedSquares(400, 0.2, 100, 'red') # 1, 1600
    #print nestedSquares(400, 0.4, 100, 'orange') # 2, 2240
    #print nestedSquares(400, 0.75, 100, 'green') # 5, 4881
    #print nestedSquares(100, 0.8, 20, 'blue' ) # 8, 1664

    # Task 4
    #print windows(64, 0.4, 20, 'red') # 3, 460
    #print windows(160, 0.4, 20, 'orange') # 7, 1561
    #print windows(400, 0.4, 20, 'green') # 15, 4723
    #print windows(400, 0.75, 100, 'blue') # 31, 21100

    # Task 5
    #print boxes(400, 0.4, 100, 'red') # 5, 4160.0
    #print boxes(400, 0.33, 30, 'magenta') # 21, 6499.84
    #print boxes(400, 0.25, 15, 'green') # 21, 4800.0
    #print boxes(400, 0.4, 50, 'blue') # 21, 8256.0


if __name__ == "__main__":
    run()