| from __future__ import print_function, division, absolute_import |
| from fontTools.misc.py23 import * |
| from fontTools.misc.bezierTools import ( |
| calcQuadraticBounds, calcCubicBounds, splitLine, splitQuadratic, |
| splitCubic, splitQuadraticAtT, splitCubicAtT, solveCubic) |
| import pytest |
| |
| |
| def test_calcQuadraticBounds(): |
| assert calcQuadraticBounds( |
| (0, 0), (50, 100), (100, 0)) == (0, 0, 100, 50.0) |
| assert calcQuadraticBounds( |
| (0, 0), (100, 0), (100, 100)) == (0.0, 0.0, 100, 100) |
| |
| |
| def test_calcCubicBounds(): |
| assert calcCubicBounds( |
| (0, 0), (25, 100), (75, 100), (100, 0)) == ((0, 0, 100, 75.0)) |
| assert calcCubicBounds( |
| (0, 0), (50, 0), (100, 50), (100, 100)) == (0.0, 0.0, 100, 100) |
| assert calcCubicBounds( |
| (50, 0), (0, 100), (100, 100), (50, 0) |
| ) == pytest.approx((35.566243, 0.000000, 64.433757, 75.000000)) |
| |
| |
| def test_splitLine(): |
| assert splitLine( |
| (0, 0), (100, 100), where=50, isHorizontal=True |
| ) == [((0, 0), (50.0, 50.0)), ((50.0, 50.0), (100, 100))] |
| assert splitLine( |
| (0, 0), (100, 100), where=100, isHorizontal=True |
| ) == [((0, 0), (100, 100))] |
| assert splitLine( |
| (0, 0), (100, 100), where=0, isHorizontal=True |
| ) == [((0, 0), (0, 0)), ((0, 0), (100, 100))] |
| assert splitLine( |
| (0, 0), (100, 100), where=0, isHorizontal=False |
| ) == [((0, 0), (0, 0)), ((0, 0), (100, 100))] |
| assert splitLine( |
| (100, 0), (0, 0), where=50, isHorizontal=False |
| ) == [((100, 0), (50, 0)), ((50, 0), (0, 0))] |
| assert splitLine( |
| (0, 100), (0, 0), where=50, isHorizontal=True |
| ) == [((0, 100), (0, 50)), ((0, 50), (0, 0))] |
| assert splitLine( |
| (0, 100), (100, 100), where=50, isHorizontal=True |
| ) == [((0, 100), (100, 100))] |
| |
| |
| def assert_curves_approx_equal(actual_curves, expected_curves): |
| assert len(actual_curves) == len(expected_curves) |
| for acurve, ecurve in zip(actual_curves, expected_curves): |
| assert len(acurve) == len(ecurve) |
| for apt, ept in zip(acurve, ecurve): |
| assert apt == pytest.approx(ept) |
| |
| |
| def test_splitQuadratic(): |
| assert splitQuadratic( |
| (0, 0), (50, 100), (100, 0), where=150, isHorizontal=False |
| ) == [((0, 0), (50, 100), (100, 0))] |
| assert splitQuadratic( |
| (0, 0), (50, 100), (100, 0), where=50, isHorizontal=False |
| ) == [((0, 0), (25, 50), (50, 50)), |
| ((50, 50), (75, 50), (100, 0))] |
| assert splitQuadratic( |
| (0, 0), (50, 100), (100, 0), where=25, isHorizontal=False |
| ) == [((0, 0), (12.5, 25), (25, 37.5)), |
| ((25, 37.5), (62.5, 75), (100, 0))] |
| assert_curves_approx_equal( |
| splitQuadratic( |
| (0, 0), (50, 100), (100, 0), where=25, isHorizontal=True), |
| [((0, 0), (7.32233, 14.64466), (14.64466, 25)), |
| ((14.64466, 25), (50, 75), (85.3553, 25)), |
| ((85.3553, 25), (92.6777, 14.64466), (100, -7.10543e-15))]) |
| # XXX I'm not at all sure if the following behavior is desirable |
| assert splitQuadratic( |
| (0, 0), (50, 100), (100, 0), where=50, isHorizontal=True |
| ) == [((0, 0), (25, 50), (50, 50)), |
| ((50, 50), (50, 50), (50, 50)), |
| ((50, 50), (75, 50), (100, 0))] |
| |
| |
| def test_splitCubic(): |
| assert splitCubic( |
| (0, 0), (25, 100), (75, 100), (100, 0), where=150, isHorizontal=False |
| ) == [((0, 0), (25, 100), (75, 100), (100, 0))] |
| assert splitCubic( |
| (0, 0), (25, 100), (75, 100), (100, 0), where=50, isHorizontal=False |
| ) == [((0, 0), (12.5, 50), (31.25, 75), (50, 75)), |
| ((50, 75), (68.75, 75), (87.5, 50), (100, 0))] |
| assert_curves_approx_equal( |
| splitCubic( |
| (0, 0), (25, 100), (75, 100), (100, 0), where=25, |
| isHorizontal=True), |
| [((0, 0), (2.293792, 9.17517), (4.798045, 17.5085), (7.47414, 25)), |
| ((7.47414, 25), (31.2886, 91.6667), (68.7114, 91.6667), |
| (92.5259, 25)), |
| ((92.5259, 25), (95.202, 17.5085), (97.7062, 9.17517), |
| (100, 1.77636e-15))]) |
| |
| |
| def test_splitQuadraticAtT(): |
| assert splitQuadraticAtT( |
| (0, 0), (50, 100), (100, 0), 0.5 |
| ) == [((0, 0), (25, 50), (50, 50)), |
| ((50, 50), (75, 50), (100, 0))] |
| assert splitQuadraticAtT( |
| (0, 0), (50, 100), (100, 0), 0.5, 0.75 |
| ) == [((0, 0), (25, 50), (50, 50)), |
| ((50, 50), (62.5, 50), (75, 37.5)), |
| ((75, 37.5), (87.5, 25), (100, 0))] |
| |
| |
| def test_splitCubicAtT(): |
| assert splitCubicAtT( |
| (0, 0), (25, 100), (75, 100), (100, 0), 0.5 |
| ) == [((0, 0), (12.5, 50), (31.25, 75), (50, 75)), |
| ((50, 75), (68.75, 75), (87.5, 50), (100, 0))] |
| assert splitCubicAtT( |
| (0, 0), (25, 100), (75, 100), (100, 0), 0.5, 0.75 |
| ) == [((0, 0), (12.5, 50), (31.25, 75), (50, 75)), |
| ((50, 75), (59.375, 75), (68.75, 68.75), (77.34375, 56.25)), |
| ((77.34375, 56.25), (85.9375, 43.75), (93.75, 25), (100, 0))] |
| |
| |
| def test_solveCubic(): |
| assert solveCubic(1, 1, -6, 0) == [-3.0, -0.0, 2.0] |
| assert solveCubic(-10.0, -9.0, 48.0, -29.0) == [-2.9, 1.0, 1.0] |
| assert solveCubic(-9.875, -9.0, 47.625, -28.75) == [-2.911392, 1.0, 1.0] |
| assert solveCubic(1.0, -4.5, 6.75, -3.375) == [1.5, 1.5, 1.5] |
| assert solveCubic(-12.0, 18.0, -9.0, 1.50023651123) == [0.5, 0.5, 0.5] |
| assert solveCubic(9.0, 0.0, 0.0, -7.62939453125e-05) == [-0.0, -0.0, -0.0] |