Euler #91

rightTriangles = []


def angleCheck(x1, x2, y1, y2):
    zeroCount, undefCount = 0, 0
    try:
        slope1 = y1/x1
        if slope1 == 0:
            zeroCount += 1
    except ZeroDivisionError:
        undefCount += 1
    try:
        slope2 = y2/x2
        if slope2 == 0:
            zeroCount += 1
    except ZeroDivisionError:
        undefCount += 1
    try:
        slope3 = (y2-y1)/(x2-x1)
        if slope3 == 0:
            zeroCount += 1
    except ZeroDivisionError:
        undefCount += 1
    if zeroCount == 1 and undefCount == 1:
        return True
    if zeroCount > 1 or undefCount > 1:
        return False
    if -y1*y2 == x1*x2:
        return True
    if -(y2-y1)*y1 == (x2-x1)*x1:
        return True
    if -(y2-y1)*y2 == (x2-x1)*x2:
        return True
    return False

for a in range(51):
    for b in range(51):
        for c in range(51):
            for d in range(51):
                if a == c == 0:
                    continue
                if b == d == 0:
                    continue
                if a == b and c == d:
                    continue
                if angleCheck(a, b, c, d):
                    if sorted([(a, c), (b, d)]) in rightTriangles:
                        continue
                    rightTriangles.append(sorted([(a, c), (b, d)]))
print(len(rightTriangles))