import math
import pytest
from naramotion import Matrix2D, Point


def test_matrix_identity():
    m = Matrix2D.identity()
    p = m.map_point(10, 20)
    assert p.x == 10.0
    assert p.y == 20.0


def test_matrix_translation():
    m = Matrix2D.make_translation(50, 100)
    p = m.map_point(10, 20)
    assert p.x == 60.0
    assert p.y == 120.0


def test_matrix_scaling():
    m = Matrix2D.make_scaling(2.0, 3.0)
    p = m.map_point(10, 20)
    assert p.x == 20.0
    assert p.y == 60.0


def test_matrix_rotation():
    m = Matrix2D.make_rotation_deg(90.0)
    p = m.map_point(10, 0)
    assert abs(p.x - 0.0) < 1e-5
    assert abs(p.y - 10.0) < 1e-5


def test_matrix_inversion():
    m = Matrix2D.make_translation(30, 40)
    m.scale(2.0, 2.0)
    inv = m.invert()

    p = Point(10, 20)
    mapped = m.map_point(p.x, p.y)
    unmapped = inv.map_point(mapped.x, mapped.y)

    assert abs(unmapped.x - p.x) < 1e-5
    assert abs(unmapped.y - p.y) < 1e-5