Method testTangentArcToPoint

tests/test_cadquery.py:4579–4646

(self)

        self.assertAlmostEqual(plate_6.Volume(), 1, 2)

    def testTangentArcToPoint(self):

        # create a simple shape with tangents of straight edges and see if it has the correct area
        s0 = (
            Workplane("XY")
            .hLine(1)
            .tangentArcPoint((1, 1), relative=False)
            .hLineTo(0)
            .tangentArcPoint((0, 0), relative=False)
            .close()
            .extrude(1)
        )
        area0 = s0.faces(">Z").val().Area()
        self.assertAlmostEqual(area0, (1 + math.pi * 0.5 ** 2), 4)

        # test relative coords
        s1 = (
            Workplane("XY")
            .hLine(1)
            .tangentArcPoint((0, 1), relative=True)
            .hLineTo(0)
            .tangentArcPoint((0, -1), relative=True)
            .close()
            .extrude(1)
        )
        self.assertTupleAlmostEquals(
            s1.val().Center().toTuple(), s0.val().Center().toTuple(), 4
        )
        self.assertAlmostEqual(s1.val().Volume(), s0.val().Volume(), 4)

        # consecutive tangent arcs
        s1 = (
            Workplane("XY")
            .vLine(2)
            .tangentArcPoint((1, 0))
            .tangentArcPoint((1, 0))
            .tangentArcPoint((1, 0))
            .vLine(-2)
            .close()
            .extrude(1)
        )
        self.assertAlmostEqual(
            s1.faces(">Z").val().Area(), 2 * 3 + 0.5 * math.pi * 0.5 ** 2, 4
        )

        # tangentArc on the end of a spline
        # spline will be a simple arc of a circle, then finished off with a
        # tangentArcPoint
        angles = [idx * 1.5 * math.pi / 10 for idx in range(10)]
        pts = [(math.sin(a), math.cos(a)) for a in angles]
        s2 = (
            Workplane("XY")
            .spline(pts)
            .tangentArcPoint((0, 1), relative=False)
            .close()
            .extrude(1)
        )
        # volume should almost be pi, but not accurately because we need to