"""

2d matrix for XY graph analysis

matrix_xy_stats() - function to analize a 2d matix to output information,
such as angle between <0,0> as theta, representing as x+yi, etc.

will use degriess as it will be easier.

valid inputs:
[[X,Y]] OR [[X],[Y]]

"""

from math import *
from cmath import *

def matrix_xy_stats(matrix):
	if len(matrix) == 2:
		x = matrix[0][0]
		y = matrix[0][1]
	else:
		x = matrix[0][0]
		y = matrix[1][0]

	print("X:")
	print("{0}".format(x))
	print("Y:")
	print("{0}".format(y))
	print("theta:")
	theta = atan(x/y)
	print(theta) # pre processed
	while theta < 0:
		theta += 360
	while theta > 360:
		theta -= 360
	print(theta) # after filters

	print("magnitude:")
	print("abs(abs({0}))".format(sqrt((x)**2+(y)**2)))
	print("the imaginary i formula is:")
	print("({0})+({1})*1j".format(x,y))