from unittest import TestCase

import numpy

from matrix import Matrix


class TestMatrix(TestCase):
    def test_should_create_matrix_from_numpy_array_with_shape_3_2(self):
        data = numpy.array([[0, 1], [2, 3], [4, 5]])
        actual = Matrix(data)

        actual_shape = actual.shape()
        expected_shape = (3, 2)
        self.assertEqual(expected_shape, actual_shape)

        expected = [[0, 1], [2, 3], [4, 5]]
        self.assertEqual(expected, actual)

    def test_should_create_matrix_from_numpy_array_with_shape_1_3(self):
        data = numpy.array([[0, 1, 2]])
        actual = Matrix(data)

        actual_shape = actual.shape()
        expected_shape = (1, 3)
        self.assertEqual(expected_shape, actual_shape)

        expected = [[0, 1, 2]]
        self.assertEqual(expected, actual)

    def test_should_create_matrix_from_list_with_shape_2_2(self):
        data = [0, 1, 2, 3]
        actual = Matrix(data, shape=(2, 2))

        actual_shape = actual.shape()
        expected_shape = (2, 2)
        self.assertEqual(expected_shape, actual_shape)

        expected = [[0, 1], [2, 3]]
        self.assertEqual(expected, actual)

    def test_should_create_matrix_from_matrixlike_list_with_shape_2_3(self):
        data = [[0, 1, 2], [3, 4, 5]]
        actual = Matrix(data, shape=(2, 3))

        actual_shape = actual.shape()
        expected_shape = (2, 3)
        self.assertEqual(expected_shape, actual_shape)

        expected = [[0, 1, 2], [3, 4, 5]]
        self.assertEqual(expected, actual)

    def test_should_create_diagonal_matrix_from_list(self):
        data = [1]
        actual = Matrix(data, structure="diagonal", offset=0, n=3)

        actual_shape = actual.shape()
        expected_shape = (3, 3)
        self.assertEqual(expected_shape, actual_shape)

        expected = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]
        self.assertEqual(expected, actual)

    def test_should_create_diagonal_matrix_from_list_with_offset_1(self):
        data = [1]
        actual = Matrix(data, structure="diagonal", offset=1, n=4)

        actual_shape = actual.shape()
        expected_shape = (4, 4)
        self.assertEqual(expected_shape, actual_shape)

        expected = [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 0, 0, 0]]
        self.assertEqual(expected, actual)

    def test_should_raise_value_error_while_creating_tridiagonal_matrix(self):
        self.assertRaises(ValueError, lambda: Matrix([-1, 1, -1, 0], structure="tridiagonal", n=1))

    def test_should_create_tridiagonal_matrix_from_list_with_size_4(self):
        data = [-1, 1, -1]
        actual = Matrix(data, structure="tridiagonal", n=4)

        actual_shape = actual.shape()
        expected_shape = (4, 4)
        self.assertEqual(expected_shape, actual_shape)

        expected = [[1, -1, 0, 0], [-1, 1, -1, 0], [0, -1, 1, -1], [0, 0, -1, 1]]
        self.assertEqual(expected, actual)

    def test_matrices_should_be_equal(self):
        m1 = Matrix([1, 2, 3, 4], (2, 2))
        m2 = Matrix([1, 2, 3, 4], (2, 2))

        self.assertEqual(m1, m2)

    def test_matrices_should_not_be_equal(self):
        m1 = Matrix([1, 2, 3, 4], (2, 2))
        m2 = Matrix([1, 2, 3, 3], (2, 2))

        self.assertNotEqual(m1, m2)

    def test_should_transpose_square_matrix(self):
        data = [1, 2, 3, 4, 5, 6, 7, 8, 9]
        actual = Matrix(data, (3, 3))

        actual = actual.transpose()
        expected = [[1, 4, 7], [2, 5, 8], [3, 6, 9]]
        self.assertEqual(expected, actual)

    def test_should_transpose_nonsquare_matrix(self):
        data = [1, 2, 3, 4, 5, 6]
        actual = Matrix(data, (2, 3))

        actual = actual.transpose()
        expected = [[1, 4], [2, 5], [3, 6]]
        self.assertEqual(expected, actual)

    def test_should_negate_matrix(self):
        m = Matrix([1, 2, 3, 4], (2, 2))

        actual = -m
        expected = Matrix([-1, -2, -3, -4], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_add_two_matrices(self):
        m1 = Matrix([1, 2, 3, 4], (2, 2))
        m2 = Matrix([4, 3, 2, 1], (2, 2))

        actual = m1 + m2
        expected = Matrix([5, 5, 5, 5], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_add_scalar_to_matrix(self):
        m = Matrix([1, 2, 3, 4], (2, 2))
        s = 5

        actual = m + s
        expected = Matrix([6, 7, 8, 9], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_radd_scalar_to_matrix(self):
        m = Matrix([1, 2, 3, 4], (2, 2))
        s = 5

        actual = s + m
        expected = Matrix([6, 7, 8, 9], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_raise_shape_missmatch_error_while_adding_vectors(self):
        m1 = Matrix([1, 2, 3, 4], (2, 2))
        m2 = Matrix([1, 2], (2, 1))

        self.assertRaises(ValueError, lambda: m1 + m2)

    def test_should_raise_value_missmatch_error_while_adding_vectors(self):
        m = Matrix([1, 2, 3, 4], (2, 2))
        o = ""

        self.assertRaises(ValueError, lambda: m + o)

    def test_should_sub_two_matrices(self):
        m1 = Matrix([1, 2, 3, 4], (2, 2))
        m2 = Matrix([4, 3, 2, 1], (2, 2))

        actual = m1 - m2
        expected = Matrix([-3, -1, 1, 3], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_sub_scalar_of_matrix(self):
        m = Matrix([1, 2, 3, 4], (2, 2))
        s = 5

        actual = m - s
        expected = Matrix([-4, -3, -2, -1], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_rsub_scalar_of_matrix(self):
        m = Matrix([1, 2, 3, 4], (2, 2))
        s = 5

        actual = s - m
        expected = Matrix([4, 3, 2, 1], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_div_matrix_by_scalar(self):
        m = Matrix([5, 10, 15, 20], (2, 2))
        s = 5

        actual = m / s
        expected = Matrix([1, 2, 3, 4], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_raise_value_missmatch_error_while_dividing_with_other_than_scalar(self):
        m = Matrix([1, 2, 3, 4], (2, 2))
        o = ""

        self.assertRaises(ValueError, lambda: m / o)

    def test_should_mul_matrices_1(self):
        m1 = Matrix([1, 2, 3, 4], (2, 2))
        m2 = Matrix([4, 3, 2, 1], (2, 2))

        actual = m1 * m2
        expected = Matrix([8, 5, 20, 13], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_mul_matrices_2(self):
        m1 = Matrix([1, 2, 3, 4, 5, 6], (2, 3))
        m2 = Matrix([6, 5, 4, 3, 2, 1], (3, 2))

        actual = m1 * m2
        expected = Matrix([20, 14, 56, 41], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_mul_matrices_3(self):
        m1 = Matrix([1, 2, 3, 4, 5, 6], (3, 2))
        m2 = Matrix([6, 5, 4, 3, 2, 1], (2, 3))

        actual = m1 * m2
        expected = Matrix([12, 9, 6, 30, 23, 16, 48, 37, 26], (3, 3))

        self.assertEqual(expected, actual)

    def test_should_raise_shape_missmatch_error_while_multiplying_matrices(self):
        m1 = Matrix([1, 2], (2, 1))
        m2 = Matrix([3, 4], (2, 1))

        self.assertRaises(ValueError, lambda: m1 * m2)

    def test_should_mul_scalar_to_matrix(self):
        m = Matrix([1, 2, 3, 4], (2, 2))
        s = 5

        actual = m * s
        expected = Matrix([5, 10, 15, 20], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_rmul_scalar_to_matrix(self):
        m = Matrix([1, 2, 3, 4], (2, 2))
        s = 5

        actual = s * m
        expected = Matrix([5, 10, 15, 20], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_return_frobenius_norm(self):
        m = Matrix([1, 2, 3, 4], (2, 2))

        actual = m.norm()
        expected = 5.477

        self.assertAlmostEqual(expected, actual, 3)

    def test_should_return_colsum_norm(self):
        m = Matrix([1, 2, 3, 4], (2, 2))

        actual = m.norm("col sum")
        expected = 6

        self.assertEqual(expected, actual)

    def test_should_return_rowsum_norm(self):
        m = Matrix([1, 2, 3, 4], (2, 2))

        actual = m.norm("row sum")
        expected = 7

        self.assertEqual(expected, actual)

    def test_should_return_first_element(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        actual = m[0, 0]
        expected = 1

        self.assertEqual(expected, actual)

    def test_should_return_last_element(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        actual = m[2, 2]
        expected = 9

        self.assertEqual(expected, actual)

    def test_should_return_first_row(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        actual = m[0]
        expected = [1, 2, 3]

        self.assertEqual(expected, actual)

    def test_should_return_last_row_except_last_element(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        actual = m[2, 0:2]
        expected = [7, 8]

        self.assertEqual(expected, actual)

    def test_should_return_mid_column(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        actual = m[:, 1]
        expected = [2, 5, 8]

        self.assertEqual(expected, actual)

    def test_should_return_first_column_except_middle_element(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        actual = m[[0, 2], 0]
        expected = [1, 7]

        self.assertEqual(expected, actual)

    def test_should_return_mid_submatrix(self):
        m = Matrix(list(range(1, 17)), (4, 4))

        actual = m[1:3, 1:3]
        expected = Matrix([6, 7, 10, 11], (2, 2))

        self.assertEqual(expected, actual)

    def test_should_set_first_element(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        m[0, 0] = 10
        actual = m
        expected = Matrix([10, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        self.assertEqual(expected, actual)

    def test_should_set_mid_column(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        m[:, 1] = [20, 50, 80]
        actual = m
        expected = Matrix([1, 20, 3, 4, 50, 6, 7, 80, 9], (3, 3))

        self.assertEqual(expected, actual)

    def test_should_set_last_row(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        m[2] = [70, 80, 90]
        actual = m
        expected = Matrix([1, 2, 3, 4, 5, 6, 70, 80, 90], (3, 3))

        self.assertEqual(expected, actual)

    def test_should_set_first_row_except_mid_element(self):
        m = Matrix([1, 2, 3, 4, 5, 6, 7, 8, 9], (3, 3))

        m[0, [0, 2]] = [10, 30]
        actual = m
        expected = Matrix([10, 2, 30, 4, 5, 6, 7, 8, 9], (3, 3))

        self.assertEqual(expected, actual)

    def test_should_set_mid_submatrix(self):
        m = Matrix(list(range(1, 17)), (4, 4))

        m[1:3, 1:3] = [[60, 70], [100, 110]]
        actual = m
        expected = Matrix([1, 2, 3, 4, 5, 60, 70, 8, 9, 100, 110, 12, 13, 14, 15, 16], (4, 4))

        self.assertEqual(expected, actual)