# Python Script I wrote to perform the gram schmidt process on a set of vectors
import numpy as np

def get_inverse_mag_prod(v):
	return v * (1 / (sum(list(map(lambda a: a ** 2,v))) ** 0.5))

def rounder(v):
	return list(map(lambda a: round(a,6),v))


def gs(v):
	vectors = list(map(lambda a: np.array(a,dtype=np.float32),v))
	for vector_index in range(0,len(vectors)):
		current_index = vector_index
		v = vectors[vector_index]
		total = vectors[vector_index]
		current_index = vector_index
		while current_index != 0:
			q = vectors[current_index - 1]
			total -= np.dot(v,q) * q
			current_index -= 1
		vectors[vector_index] = total
		vectors[vector_index] = get_inverse_mag_prod(vectors[vector_index])
	return list(map(rounder,vectors))

x = [1,0,1]
y = [0,1,-6]

my_vectors = [x,y]

print(gs(my_vectors))