def __init__(self, normal_vector=None, constant_term=None):
self.dimension = 2
if not normal_vector:
all_zeros = ['0'] * self.dimension
normal_vector = Vector(all_zeros)
self.normal_vector = normal_vector
if not constant_term:
constant_term = Decimal('0')
self.constant_term = Decimal(constant_term)
self.set_basepoint()
def set_basepoint(self):
try:
n = self.normal_vector
c = self.constant_term
basepoint_coords = ['0'] * self.dimension
initial_index = Line.first_nonzero_index(n)
initial_coefficient = n[initial_index]
basepoint_coords[initial_index] = c / initial_coefficient
self.basepoint = Vector(basepoint_coords)
except Exception as e:
if str(e) == Line.NO_NONZERO_ELTS_FOUND_MSG:
self.basepoint = None
else:
raise e
from vectors.vector import Vector
if __name__ == "__main__":
# Addition
v1 = Vector([8.218, -9.341])
v2 = Vector([-1.129, 2.111])
print('{} + {} = {}'.format(v1, v2, v1 + v2))
print()
# Subtraction
v3 = Vector([7.119, 8.215])
v4 = Vector([-8.223, 0.878])
print('{} - {} = {}'.format(v3, v4, v3 - v4))
print()
# Multiplication
v5 = 7.41
v6 = Vector([1.671, -1.012, -0.318])
print('{} * {} = {}'.format(v5, v6, v5 * v6))
print()
# Magnitude
v7 = Vector([-0.221, 7.437])
v8 = Vector([8.813, -1.331, -6.247])
print('||{}|| = {}'.format(v7, v7.magnitude()))
print('||{}|| = {}'.format(v8, v8.magnitude()))
print()
# Normalisation
v9 = Vector([5.581, -2.136])
v10 = Vector([1.996, 3.108, -4.554])
from matplotlib import pyplot as plt
from vectors.vector import Vector
axes = plt.axes()
v1 = Vector(0, 0, 3, 0)
v2 = Vector(3, 0, 0, 4)
v3 = Vector.add(v1, v2)
axes.arrow(v1.x, v1.y, v1.dx, v1.dy, ec='r')
axes.arrow(v2.x, v2.y, v2.dx, v2.dy, ec='g')
axes.arrow(v3.x, v3.y, v3.dx, v3.dy, ec='b')
plt.axis([0, 5, 0, 5])
plt.title('Adding Vectors')
plt.show()
from matplotlib import pyplot as plt
from vectors.vector import Vector
axes = plt.axes()
v1 = Vector(dx=1, dy=0.5)
v2 = Vector(dx=1.5, dy=3)
v3 = Vector(dx=1, dy=1)
v4 = Vector.sum([v1, v2, v3])
axes.arrow(v1.x, v1.y, v1.dx, v1.dy, ec='r', linestyle='dashdot')
axes.arrow(v2.x, v2.y, v2.dx, v2.dy, ec='g', linestyle='dashdot')
axes.arrow(v3.x, v3.y, v3.dx, v3.dy, ec='b', linestyle='dashdot')
axes.arrow(v4.x, v4.y, v4.dx, v4.dy, ec='k')
plt.axis([0, 6, 0, 6])
plt.title('Sum of Multiple Vectors')
plt.show()
