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functions.py
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functions.py
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def circle_lines(centre_x: int, centre_y: int, radius: int) -> tuple[int, int]:
offset_y = 0
offset_x = radius
crit = 1 - radius
while offset_y <= offset_x:
yield (centre_x + offset_x, centre_y + offset_y) # -- octant 1
yield (centre_x + offset_y, centre_y + offset_x) # -- octant 2
yield (centre_x - offset_x, centre_y + offset_y) # -- octant 4
yield (centre_x - offset_y, centre_y + offset_x) # -- octant 3
yield (centre_x - offset_x, centre_y - offset_y) # -- octant 5
yield (centre_x - offset_y, centre_y - offset_x) # -- octant 6
yield (centre_x + offset_x, centre_y - offset_y) # -- octant 8
yield (centre_x + offset_y, centre_y - offset_x) # -- octant 7
offset_y = offset_y + 1
if crit <= 0:
crit = crit + 2 * offset_y + 1
else:
offset_x = offset_x - 1
crit = crit + 2 * (offset_y - offset_x) + 1
def fib(n: int) -> int:
"""
Fibonacci sequence
"""
a, b = 0, 1
for _ in p2vrange(0, n, 1):
yield a
a, b = b, a + b
def floor_div(n) -> tuple[int]:
i = 1
while i < n:
j = 1
while j < n:
yield i // j
j += 1
i += 1
def happy_face(s_x, s_y, height):
# Generate points for the outer circle
x = 0
y = height
d = 3 - 2 * height
yield (s_x + x, s_y + y)
yield (s_x + x, s_y - y)
yield (s_x - x, s_y + y)
yield (s_x - x, s_y - y)
yield (s_x + y, s_y + x)
yield (s_x + y, s_y - x)
yield (s_x - y, s_y + x)
yield (s_x - y, s_y - x)
while y >= x:
x = x + 1
if d > 0:
y = y - 1
d = d + 4 * (x - y) + 10
else:
d = d + 4 * x + 6
# yield (x, y, d)
yield (s_x + x, s_y + y)
yield (s_x + x, s_y - y)
yield (s_x - x, s_y + y)
yield (s_x - x, s_y - y)
yield (s_x + y, s_y + x)
yield (s_x + y, s_y - x)
yield (s_x - y, s_y + x)
yield (s_x - y, s_y - x)
# Generate points for the eyes
rectangle_width = height // 3
rectangle_height = height // 3
# Left eye
x = s_x + 10
y = s_y + 5
# Rectangle
i, j = 0, 0
while i < rectangle_width:
while j < rectangle_height:
yield (x + i, y + j)
j += 1
j = 0
i += 1
# Right eye
x = s_x - 10
y = s_y + 5
# Rectangle
i, j = 0, 0
while i < rectangle_width:
while j < rectangle_height:
yield (x + i, y + j)
j += 1
j = 0
i += 1
def multiplier_generator(multiplicand: int, multiplier: int) -> int:
product = 0
count = 0
while count < multiplier:
product += multiplicand
count += 1
yield product
def operators(x, y):
yield 0, x
yield 1, y
# Arithmetic operators
yield 2, x + y
yield 3, x - y
yield 4, x * y
# yield x / y
if y != 0:
yield 5, x // y
yield 6, x % y
# yield x**y
# Comparison operators
yield 7, x == x
yield 8, x == -x
yield 9, x == y
yield 10, x != y
yield 11, x < y
yield 12, x > y
yield 13, x <= y
yield 14, x >= y
yield 88888888, 88888888 # delimiter
# # Logical operators
# yield x and y
# yield x or y
# yield not x
# # Bitwise operators
# yield x & y
# yield x | y
# yield x ^ y
# yield ~x
# yield x << y
# yield x >> y
# # Assignment operators
# z = x
# yield z
# z += y
# yield z
# z -= y
# yield z
# z *= y
# yield z
# z /= y
# yield z
# z //= y
# yield z
# z %= y
# yield z
# z **= y
# yield z
# z &= y
# yield z
# z |= y
# yield z
# z ^= y
# yield z
# z <<= y
# yield z
# z >>= y
# yield z
# # Identity and membership operators
# yield x is y
# yield x is not y
# yield x in [y, z]
# yield x not in [y, z]
def rectangle_filled(s_x, s_y, height, width):
i0 = 0
while i0 < width:
i1 = 0
while i1 < height:
yield (s_x + i1, s_y + i0)
i1 = i1 + 1
i0 = i0 + 1
def rectangle_lines(s_x, s_y, height, width):
i0 = 0
while i0 < width:
yield (s_x, s_y + i0)
yield (s_x + height - 1, s_y + i0)
i0 += 1
i1 = 0
while i1 < height:
yield (s_x + i1, s_y)
yield (s_x + i1, s_y + width - 1)
i1 += 1
def division(dividend, divisor, precision):
iter = 0
if dividend < 0:
dividend = -dividend
while dividend > 0 and iter <= precision:
digit = 0
while (digit + 1) * divisor <= dividend:
digit += 1
yield digit
dividend -= digit * divisor
if dividend // divisor == 0:
dividend *= 10
iter += 1
def olympic_logo_naive(mid_x, mid_y, radius):
spread = radius - 2
gen = circle_lines(mid_x, mid_y + spread, radius)
for x, y in gen:
yield x, y, 50
gen = circle_lines(mid_x + spread * 2, mid_y + spread, radius)
for x, y in gen:
yield x, y, 180
gen = circle_lines(mid_x - spread * 2, mid_y + spread, radius)
for x, y in gen:
yield x, y, 500
gen = circle_lines(mid_x + spread, mid_y - spread, radius)
for x, y in gen:
yield x, y, 400
gen = circle_lines(mid_x - spread, mid_y - spread, radius)
for x, y in gen:
yield x, y, 300
def p2vrange(start: int, stop: int, step: int) -> int:
"""
Simplified version of Python's built-in range function
"""
while start < stop:
yield start
start += step
def dupe(base: int, limit: int, step: int) -> int:
"""
Dupe hrange
"""
inst = p2vrange(base, limit, step)
for out in inst:
yield out
yield out
def double_for(limit: int) -> tuple[int, int]:
"""
Double for loop
"""
x_gen = p2vrange(0, limit, 1)
for x in x_gen:
y_gen = p2vrange(0, limit, 1)
for y in y_gen:
yield x, y
def olympic_logo_mids(mid_x: int, mid_y: int, spread: int) -> tuple[int, int, int]:
"""
Yields the middle coordinates and the color
for the 5 circles in the olympics logo
"""
yield mid_x, mid_y + spread, 50
yield mid_x + spread * 2, mid_y + spread, 180
yield mid_x - spread * 2, mid_y + spread, 500
yield mid_x + spread, mid_y - spread, 400
yield mid_x - spread, mid_y - spread, 300
def olympic_logo(mid_x, mid_y, radius):
"""
Draws the olympic logo
"""
spread = radius - 2
middles_and_colors = olympic_logo_mids(mid_x, mid_y, spread)
for x, y, color in middles_and_colors:
coords = circle_lines(x, y, radius)
for x, y in coords:
yield x, y, color
def keyword_test():
"""
Testing for break, continue, return
"""
i = 0
while i < 10:
if i % 2 == 0:
i += 1
continue
yield i
i += 3
i = 0
while i < 10:
if i == 7:
break
yield i
i += 1
i = 0
while i < 10:
if i == 5:
return
yield i
i += 1
def quad_multiply(left, right):
"""
Given left and right,
yields
left * right
left * -right
-left * right
-left * -right
"""
inst = multiplier_generator(left, right)
for val in inst:
yield val
inst = multiplier_generator(left, -right)
for val in inst:
yield val
inst = multiplier_generator(-left, right)
for val in inst:
yield val
for val in multiplier_generator(-left, -right):
yield val
def multiplier(multiplicand: int, multiplier: int) -> int:
product = 0
while multiplier > 0:
product += multiplicand
multiplier -= 1
return product
def fib_product(n):
"""
Yields the product of the first n fibonacci numbers
"""
for num in fib(n):
prod = multiplier(num, num)
yield prod
def multi_funcs(a, b):
"""
Testing multiple function calls and tested function calls
"""
temp = multiplier(a, b)
yield temp
temp = multiplier(a + 10, b)
yield temp
for i in p2vrange(0, 2, 1):
yield i
for i in p2vrange(0, 2, 1):
yield i
for i in p2vrange(0, 2, 1):
yield i
for i in p2vrange(0, 2, 1):
yield i