def test_mc_es_hermitiana():
assert vm.mc_es_hermitiana([[[3, 0], [2, -1], [0, -3]],
[[2, 1], [0, 0], [1, -1]],
[[0, 3], [1, 1],
[0, 0]]]) == True, 'Debe ser True'
assert vm.mc_es_hermitiana([[[1, 0], [3, -1]],
[[3, 1], [0, 1]]]) == False, 'Debse ser False'
def test_distancia_2v():
assert vm.distancia_2v(
[[[2, 7]], [[4, -1]], [[2, -4]]],
[[[7, 8]], [[2, -8]], [[1, 4]]]) == 12.0, 'Deber ser 12.0'
assert vm.distancia_2v(
[[[9, -7]], [[-1, -6]]],
[[[7, -8]], [[5, -9]]
]) == 7.0710678118654755, 'Debe ser 7.0710678118654755'
def test_mc_es_unitaria():
assert vm.mc_es_unitaria([[[1 / math.sqrt(2), 0], [0, 1 / math.sqrt(2)]],
[[0, 1 / math.sqrt(2)],
[1 / math.sqrt(2),
0]]]) == True, 'Debe ser True'
assert vm.mc_es_unitaria([[[0, 1], [1, 0], [0, 0]], [[0, 0], [0, 1],
[1, 0]],
[[1, 0], [0, 0],
[0, 1]]]) == False, 'Debe ser False'
def test_transpuesta():
assert vm.transpuesta([
[[5, 9], [-7, -5], [-1, -4]], [[8, 2], [-3, -7], [7, -8]]
]) == [[[5, 9], [8, 2]], [[-7, -5], [-3, -7]], [
[-1,
-4], [7, -8]
]], 'Debe ser [[[5, 9], [8, 2]], [[-7, -5], [-3, -7]], [[-1, -4], [7, -8]]]'
def test_adjunta():
assert vm.adjunta([[[7, 7], [3, 8], [8, 4]], [[5, 0], [8, -6], [
-10, -1
]]]) == [[[7, -7], [5, 0]], [[3, -8], [8, 6]], [[8, -4], [
-10,
1
]]], 'Debe ser [[[7, -7], [5, 0]], [[3, -8], [8, 6]], [[8, -4], [-10, 1]]]'
def test_producto_matricial():
assert vm.producto_matricial(
[[[-6, 2], [0, 6], [7, 2]], [[6, 9], [7, 7], [-6, -6]],
[[5, 8], [-6, 8], [6, 9]]],
[[[9, -6], [-3, -4], [5, -2]], [[3, 6], [-1, -5], [0, -5]],
[[9, 9], [8, -4], [-8, -4]]]
) == [[[-33, 153], [120, 0], [-44, -22]], [[87, 0], [-26, -117], [
107,
70
]], [[0, 165], [147, 26], [
69,
-36
]]], 'Debe ser [[[-33, 153], [120, 0], [-44, -22]], [[87, 0], [-26, -117], [107, 70]], [[0, 165], [147, 26], [69, -36]]]'
assert vm.producto_matricial(
[[[2, 1], [3, 0], [1, -1]], [[0, 0], [0, -2], [7, -3]],
[[3, 0], [0, 0], [1, -2]]], [[[0, -1], [1, 0]], [[0, 0], [0, 1]]]
) == "El tamaño de las matrices no es el apropiado", 'Debe ser "El tamaño de las matrices no es el apropiado"'
def test_prod_tensor():
assert vm.prod_tensor([[[1, 1], [0, 0]], [[1, 0], [0, 1]]], [[
[-1, 2], [-2, -2], [0, 2]
], [[2, 3], [3, 1], [2, 2]], [[-2, 1], [1, -1], [2, 1]]]) == [
[[-3, 1], [0, -4], [-2, 2], [0, 0], [0, 0],
[0,
0]],
[[-1, 5], [2, 4], [0, 4], [0, 0], [0, 0], [0, 0]
], [[-3, -1], [2, 0], [1, 3], [0, 0], [0, 0], [0, 0]
],
[[-1, 2], [-2, -2], [0, 2], [-2, -1], [2, -2], [-2, 0]
], [[2, 3], [3, 1], [2, 2], [-3, 2], [-1, 3], [-2, 2]
], [[-2, 1], [1, -1], [2, 1], [-1, -2], [1, 1], [-1, 2]]
], 'Debe ser [[[-3, 1], [0, -4], [-2, 2], [0, 0], [0, 0], [0, 0]], [[-1, 5], [2, 4], [0, 4], [0, 0], [0, 0], [0, 0]], [[-3, -1], [2, 0], [1, 3], [0, 0], [0, 0], [0, 0]], [[-1, 2], [-2, -2], [0, 2], [-2, -1], [2, -2], [-2, 0]], [[2, 3], [3, 1], [2, 2], [-3, 2], [-1, 3], [-2, 2]], [[-2, 1], [1, -1], [2, 1], [-1, -2], [1, 1], [-1, 2]]]'
def test_adicion_matrices_complejas():
assert vm.adicion_matrices_complejas([[[-8, -3], [-6, -4], [
0, -4
]], [[-1, 8], [6, -10], [8, -5]], [[4, 0], [8, 5], [-7, -9]]], [[
[-7, -2], [-4, -2], [7, 7]
], [[5, 9], [0, 3], [6, -5]], [[1, 5], [-6, -6], [
5,
8
]]]) == [[[-15, -5], [-10, -6], [7, 3]], [[4, 17], [6, -7], [
14,
-10
]], [[5, 5], [2, -1], [
-2,
-1
]]], 'Debe ser [[[-15, -5], [-10, -6], [7, 3]], [[4, 17], [6, -7], [14, -10]], [[5, 5], [2, -1], [-2, -1]]]'
def test_conjugada_mv():
assert vm.conjugada_mv([[[-6, 1], [3, 8]], [[2, -6], [3, 0]]]) == [[[
-6, -1
], [3, -8]], [[2, 6],
[3, 0]]], 'Debe ser [[[-6, -1], [3, -8]], [[2, 6], [3, 0]]]'
def test_mult_escalar_matriz():
assert vm.mult_escalar_matriz(
[-2, 3], [[[3, -2], [8, -4]], [[4, -10], [-2, -8]]]) == [
[[0, 13], [-4, 32]], [[22, 32], [28, 10]]
], 'Debe ser [[[0, 13], [-4, 32]], [[22, 32], [28, 10]]]'
def test_inverso_aditivo_mc():
assert vm.inverso_aditivo_mc([[[7, 3], [-1, 7]], [[-9, -4], [
-7, -9
]]]) == [[[-7, -3], [1, -7]],
[[9, 4], [7,
9]]], 'Debe ser [[[-7, -3], [1, -7]], [[9, 4], [7, 9]]]'
def test_adicion_vectores_complejos():
assert vm.adicion_vectores_complejos(
[[[8, 3]], [[-1, -4]], [[0, -9]]],
[[[8, -3]], [[2, 5]], [[3, 0]]]) == [[[16, 0]], [[1, 1]], [[
3, -9
]]], 'Debe ser [[[16, 0]], [[1, 1]], [[3, -9]]]'
def test_prod_interno():
assert vm.prod_interno_v(
[[[2, -1]], [[-8, -5]], [[-2, -6]]],
[[[6, -3]], [[5, -1]], [[-6, -2]]]) == [[[4,
1]]], 'Debe ser [[[4, 1]]]'
def test_inverso_aditivo_vc():
assert vm.inverso_aditivo_vc([[[-5, 2]], [[3, 0]], [[0, -1]]]) == [[[
5, -2
]], [[-3, 0]], [[0, 1]]], 'Debe ser [[[5, -2]], [[-3, 0]], [[0, 1]]]'
def test_norma_v():
assert vm.norma_v([[[4, 5]], [[3, 1]], [[0, -7]]]) == 10.0, 'debe ser 10.0'
def test_mult_escalar_vector():
assert vm.mult_escalar_vector([-1, 1], [[[-2, 5], [-1, -1], [2, -9]]]) == [
[[-3, -7], [2, 0], [7, 11]]
], 'Debe ser [[[-3, -7], [2, 0], [7, 11]]]'
def test_accion_mc_vc():
assert vm.accion_mc_vc(
[[[-1, 5], [1, -7], [-6, 3]], [[-3, -9], [2, -5], [1, -10]],
[[-6, 5], [6, -5], [3, -2]]], [[[1, -3]], [[4, 3]], [[-3, 1]]]) == [
[[54, -32]], [[0, 17]], [[41, 30]]
], 'Debe ser [[[54, -32]], [[0, 17]], [[41, 30]]]'