Examples of toxi.geom.Triangle2D.toBarycentric()

toxi.geom.Triangle2D.toBarycentric()
Produces the barycentric coordinates of the given point within this triangle. These coordinates can then be used to re-project the point into a different triangle using its {@link #fromBarycentric(ReadonlyVec3D)}method. @param p point in world space @return barycentric coords as {@link Vec3D}

    public void testBarycentric() {
        Vec2D a = new Vec2D(-100, 0);
        Vec2D b = new Vec2D(0, -100);
        Vec2D c = new Vec2D(100, 0);
        Triangle2D t = new Triangle2D(a, b, c);
        assertEquals(new Vec3D(1, 0, 0), t.toBarycentric(a));
        assertEquals(new Vec3D(0, 1, 0), t.toBarycentric(b));
        assertEquals(new Vec3D(0, 0, 1), t.toBarycentric(c));
        // test roundtrip
        assertEquals(a, t.fromBarycentric(t.toBarycentric(a)));
        assertEquals(b, t.fromBarycentric(t.toBarycentric(b)));

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        Vec2D a = new Vec2D(-100, 0);
        Vec2D b = new Vec2D(0, -100);
        Vec2D c = new Vec2D(100, 0);
        Triangle2D t = new Triangle2D(a, b, c);
        assertEquals(new Vec3D(1, 0, 0), t.toBarycentric(a));
        assertEquals(new Vec3D(0, 1, 0), t.toBarycentric(b));
        assertEquals(new Vec3D(0, 0, 1), t.toBarycentric(c));
        // test roundtrip
        assertEquals(a, t.fromBarycentric(t.toBarycentric(a)));
        assertEquals(b, t.fromBarycentric(t.toBarycentric(b)));
        assertEquals(c, t.fromBarycentric(t.toBarycentric(c)));

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        Vec2D b = new Vec2D(0, -100);
        Vec2D c = new Vec2D(100, 0);
        Triangle2D t = new Triangle2D(a, b, c);
        assertEquals(new Vec3D(1, 0, 0), t.toBarycentric(a));
        assertEquals(new Vec3D(0, 1, 0), t.toBarycentric(b));
        assertEquals(new Vec3D(0, 0, 1), t.toBarycentric(c));
        // test roundtrip
        assertEquals(a, t.fromBarycentric(t.toBarycentric(a)));
        assertEquals(b, t.fromBarycentric(t.toBarycentric(b)));
        assertEquals(c, t.fromBarycentric(t.toBarycentric(c)));
        Vec2D p = new Vec2D(0, 0);

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        Triangle2D t = new Triangle2D(a, b, c);
        assertEquals(new Vec3D(1, 0, 0), t.toBarycentric(a));
        assertEquals(new Vec3D(0, 1, 0), t.toBarycentric(b));
        assertEquals(new Vec3D(0, 0, 1), t.toBarycentric(c));
        // test roundtrip
        assertEquals(a, t.fromBarycentric(t.toBarycentric(a)));
        assertEquals(b, t.fromBarycentric(t.toBarycentric(b)));
        assertEquals(c, t.fromBarycentric(t.toBarycentric(c)));
        Vec2D p = new Vec2D(0, 0);
        assertEquals(p, t.fromBarycentric(t.toBarycentric(p)));
        // test point outside

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        assertEquals(new Vec3D(1, 0, 0), t.toBarycentric(a));
        assertEquals(new Vec3D(0, 1, 0), t.toBarycentric(b));
        assertEquals(new Vec3D(0, 0, 1), t.toBarycentric(c));
        // test roundtrip
        assertEquals(a, t.fromBarycentric(t.toBarycentric(a)));
        assertEquals(b, t.fromBarycentric(t.toBarycentric(b)));
        assertEquals(c, t.fromBarycentric(t.toBarycentric(c)));
        Vec2D p = new Vec2D(0, 0);
        assertEquals(p, t.fromBarycentric(t.toBarycentric(p)));
        // test point outside
        Vec3D bp = t.toBarycentric(new Vec2D(0, -150));

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        assertEquals(new Vec3D(0, 1, 0), t.toBarycentric(b));
        assertEquals(new Vec3D(0, 0, 1), t.toBarycentric(c));
        // test roundtrip
        assertEquals(a, t.fromBarycentric(t.toBarycentric(a)));
        assertEquals(b, t.fromBarycentric(t.toBarycentric(b)));
        assertEquals(c, t.fromBarycentric(t.toBarycentric(c)));
        Vec2D p = new Vec2D(0, 0);
        assertEquals(p, t.fromBarycentric(t.toBarycentric(p)));
        // test point outside
        Vec3D bp = t.toBarycentric(new Vec2D(0, -150));
        assertTrue(bp.magnitude() > 1);

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        // test roundtrip
        assertEquals(a, t.fromBarycentric(t.toBarycentric(a)));
        assertEquals(b, t.fromBarycentric(t.toBarycentric(b)));
        assertEquals(c, t.fromBarycentric(t.toBarycentric(c)));
        Vec2D p = new Vec2D(0, 0);
        assertEquals(p, t.fromBarycentric(t.toBarycentric(p)));
        // test point outside
        Vec3D bp = t.toBarycentric(new Vec2D(0, -150));
        assertTrue(bp.magnitude() > 1);
    }

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        assertEquals(b, t.fromBarycentric(t.toBarycentric(b)));
        assertEquals(c, t.fromBarycentric(t.toBarycentric(c)));
        Vec2D p = new Vec2D(0, 0);
        assertEquals(p, t.fromBarycentric(t.toBarycentric(p)));
        // test point outside
        Vec3D bp = t.toBarycentric(new Vec2D(0, -150));
        assertTrue(bp.magnitude() > 1);
    }


    public void testCentroid() {
        Vec2D a = new Vec2D(-100, 0);

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