public void Transforms()
{
Trsf2d m1 = new Trsf2d();
m1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
var c1 = new XY(2, 1);
m1.Transforms(ref c1);
Assert.That(new XY(2, 3).IsEqual(c1, 0.000001));
}
public void ValueType_Trsf()
{
Trsf2d m1 = new Trsf2d();
m1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
var c1 = new XY(2, 1);
m1.Transforms(ref c1);
Assert.AreEqual("2,3", c1.ToString());
}
public void FromTrsf2d()
{
Trsf2d m2d = new Trsf2d();
m2d.SetRotation(Pnt2d.Origin, Math.PI / 2);
var m1 = new Trsf(m2d);
Assert.AreEqual(TrsfForm.Rotation, m1.Form);
Assert.AreEqual(Math.PI / 2, m1.GetRotation().GetRotationAngle());
}
public void ValueType_Dir2d()
{
Assert.AreEqual(new Dir2d(1, 0), Dir2d.DX);
Assert.AreEqual(new Dir2d(0, 1), Dir2d.DY);
var p1 = new Dir2d(1, 0);
var p2 = new Dir2d(0, 1);
Assert.IsFalse(p1.IsEqual(p2, 0.1));
Assert.IsTrue(p1.IsEqual(p2, Math.PI / 2));
Assert.IsTrue(p1.IsNormal(p2, 0.1));
Assert.IsFalse(p1.IsOpposite(p2, 0.1));
Assert.IsTrue(p1.IsOpposite(p2, Math.PI / 2));
Assert.IsFalse(p1.IsParallel(p2, 0.1));
Assert.IsTrue(p1.IsParallel(p2, Math.PI / 2));
Assert.AreEqual(Math.PI / 2, p1.Angle(p2));
p2 = new Dir2d(1, 0);
Assert.AreEqual(1, p1.Crossed(new Dir2d(0, 1)));
Assert.AreEqual(Math.Sqrt(2) / 2, p1.Dot(new Dir2d(1, 1)), 0.0000001);
p2 = new Dir2d(1, 0);
p2.Reverse();
Assert.AreEqual(new Dir2d(-1, 0), p2);
Assert.AreEqual(new Dir2d(-1, 0), p1.Reversed());
p2 = new Dir2d(1, 0);
p2.Mirror(new Dir2d(0, 1));
Assert.AreEqual(new Dir2d(-1, 0), p2);
Assert.AreEqual(new Dir2d(-1, 0), p1.Mirrored(new Dir2d(0, 1)));
var m2 = new Ax2d(new Pnt2d(-1, 2), new Dir2d(-1, 0));
p2 = new Dir2d(1, 0);
p2.Mirror(m2);
Assert.AreEqual(new Dir2d(1, 0), p2);
Assert.AreEqual(new Dir2d(1, 0), p1.Mirrored(m2));
p2 = new Dir2d(1, 0);
Assert.IsTrue(new Dir2d(0, 1).IsEqual(p2.Rotated(Math.PI / 2), 0.00001));
p2.Rotate(Math.PI / 2);
Assert.IsTrue(new Dir2d(0, 1).IsEqual(p2, 0.0001));
//TestContext.WriteLine(string.Format(CultureInfo.InvariantCulture, "{0},{1},{2}", gp2.x, gp2.y, gp2.z));
Trsf2d t1 = new Trsf2d();
t1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
p2 = new Dir2d(0, 1);
Assert.IsTrue(new Dir2d(-1, 0).IsEqual(p2.Transformed(t1), 0.0001));
p2.Transform(t1);
Assert.IsTrue(new Dir2d(-1, 0).IsEqual(p2, 0.0001));
}
public void Transform()
{
Trsf2d t1 = new Trsf2d();
t1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
var p2 = new Pnt2d(2, 1);
Assert.That(new Pnt2d(2, 3).IsEqual(p2.Transformed(t1), 0.0000001));
p2.Transform(t1);
Assert.That(new Pnt2d(2, 3).IsEqual(p2, 0.0000001));
}
public void Transform()
{
Trsf2d t1 = new Trsf2d();
t1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
var p2 = new Dir2d(0, 1);
Assert.IsTrue(new Dir2d(-1, 0).IsEqual(p2.Transformed(t1), 0.0001));
p2.Transform(t1);
Assert.IsTrue(new Dir2d(-1, 0).IsEqual(p2, 0.0001));
}
public void Transform()
{
Trsf2d t1 = new Trsf2d();
t1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
var p2 = new Ax2d(new Pnt2d(1, 2), new Dir2d(1, 0));
var p3 = p2.Transformed(t1);
Assert.That(new Pnt2d(1, 2).IsEqual(p3.Location, 0.000001));
Assert.That(new Dir2d(0, 1).IsEqual(p3.Direction, 0.000001));
p2.Transform(t1);
Assert.That(new Pnt2d(1, 2).IsEqual(p2.Location, 0.000001));
Assert.That(new Dir2d(0, 1).IsEqual(p2.Direction, 0.000001));
}
public void ValueType_Trsf()
{
Trsf m1 = new Trsf();
m1.SetRotation(Ax1.OZ, Math.PI / 2);
var c1 = new XYZ(10, 5, 2);
m1.Transforms(ref c1);
Assert.AreEqual("-5,10,2", c1.ToString());
Trsf2d m2d = new Trsf2d();
m2d.SetRotation(Pnt2d.Origin, Math.PI / 2);
m1 = new Trsf(m2d);
Assert.AreEqual(TrsfForm.Rotation, m1.Form);
Assert.AreEqual(Math.PI / 2, m1.GetRotation().GetRotationAngle());
}
public void ValueType_Pnt2d()
{
var p1 = new Pnt2d(1, 2);
var p2 = new Pnt2d(4, 5);
Assert.AreEqual(new Pnt2d(0, 0), Pnt2d.Origin);
Assert.AreEqual(18, p1.SquareDistance(p2));
Assert.AreEqual(Math.Sqrt(18), p1.Distance(p2));
Assert.IsTrue(p1.IsEqual(p2, 4.3));
Assert.IsFalse(p1.IsEqual(p2, 4.2));
p2 = new Pnt2d(1, 2);
p2.Mirror(new Pnt2d(2, 2));
Assert.AreEqual(new Pnt2d(3, 2), p2);
Assert.AreEqual(new Pnt2d(3, 2), p1.Mirrored(new Pnt2d(2, 2)));
p2 = new Pnt2d(1, 2);
p2.Translate(new Pnt2d(2, 2), new Pnt2d(1, 2));
Assert.AreEqual(new Pnt2d(0, 2), p2);
Assert.AreEqual(new Pnt2d(0, 2), p1.Translated(new Pnt2d(2, 2), new Pnt2d(1, 2)));
Assert.AreEqual(new XY(1, 2), p1.ToXY());
p2 = new Pnt2d(1, 2);
p2.Scale(new Pnt2d(2, 2), 2);
Assert.AreEqual(new Pnt2d(0, 2), p2);
Assert.AreEqual(new Pnt2d(0, 2), p1.Scaled(new Pnt2d(2, 2), 2));
p2 = new Pnt2d(1, 2);
p2.Translate(new Vec2d(2, 2));
Assert.AreEqual(new Pnt2d(3, 4), p2);
Assert.AreEqual(new Pnt2d(3, 4), p1.Translated(new Vec2d(2, 2)));
p2 = new Pnt2d(2, 1);
Assert.AreEqual(new Pnt2d(4, 4), p2.Translated(new Vec2d(2, 3)));
p2.Translate(new Vec2d(2, 3));
Assert.AreEqual(new Pnt2d(4, 4), p2);
var m2 = new Ax2d(new Pnt2d(-1, 2), new Dir2d(-1, 0));
p2 = new Pnt2d(2, 1);
Assert.AreEqual(new Pnt2d(2, 3), p2.Mirrored(m2));
p2.Mirror(m2);
Assert.AreEqual(new Pnt2d(2, 3), p2);
p2 = new Pnt2d(2, 1);
Assert.AreEqual("2,3", p2.Rotated(new Pnt2d(1, 2), Math.PI / 2).ToString());
p2.Rotate(new Pnt2d(1, 2), Math.PI / 2);
Assert.AreEqual("2,3", p2.ToString());
//TestContext.WriteLine(string.Format(CultureInfo.InvariantCulture, "{0},{1},{2}", gp2.x, gp2.y, gp2.z));
Trsf2d t1 = new Trsf2d();
t1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
p2 = new Pnt2d(2, 1);
Assert.AreEqual("2,3", p2.Transformed(t1).ToString());
p2.Transform(t1);
Assert.AreEqual("2,3", p2.ToString());
}
public void ValueType_Ax22d()
{
var s1 = new Ax22d(new Pnt2d(1, 2), new Dir2d(1, 0));
var s2 = new Ax22d(new Pnt2d(2, 3), new Dir2d(0, 1));
Assert.AreEqual(new Pnt2d(1, 2), s1.Location);
Assert.AreEqual(new Dir2d(1, 0), s1.XDirection);
Assert.AreEqual(new Dir2d(0, 1), s1.YDirection);
var p2 = s2;
p2.Location = new Pnt2d(3, 2);
Assert.AreEqual(new Pnt2d(3, 2), p2.Location);
p2.XDirection = new Dir2d(0, -1);
Assert.AreEqual(new Dir2d(0, -1), p2.XDirection);
p2.YDirection = new Dir2d(1, 0);
Assert.AreEqual(new Dir2d(1, 0), p2.YDirection);
var res = new Ax22d(new Pnt2d(-1, 0), new Dir2d(-1, 0));
p2 = s1;
Assert.AreEqual(res, p2.Mirrored(new Pnt2d(0, 1)));
p2.Mirror(new Pnt2d(0, 1));
Assert.AreEqual(res, p2);
res = new Ax22d(new Pnt2d(-1, 0), new Dir2d(-1, 0));
p2 = s1;
Assert.AreEqual(res, p2.Mirrored(new Pnt2d(0, 1)));
p2.Mirror(new Pnt2d(0, 1));
Assert.AreEqual(res, p2);
res = new Ax22d(new Pnt2d(-1, 2), new Dir2d(-1, 0), new Dir2d(0, 1));
var m2 = new Ax2d(new Pnt2d(0, 1), new Dir2d(0, 1));
p2 = s1;
Assert.AreEqual(res, p2.Mirrored(m2));
p2.Mirror(m2);
p2 = s1;
#if DEBUG
Assert.AreEqual("(1,2),(6.12323399573677E-17,1),(-1,6.12323399573677E-17)", p2.Rotated(new Pnt2d(1, 2), Math.PI / 2).ToString());
p2.Rotate(new Pnt2d(1, 2), Math.PI / 2);
Assert.AreEqual("(1,2),(6.12323399573677E-17,1),(-1,6.12323399573677E-17)", p2.ToString());
#else
Assert.AreEqual("(1,2),(6.12303176911189E-17,1),(-1,6.12303176911189E-17)", p2.Rotated(new Pnt2d(1, 2), Math.PI / 2).ToString());
p2.Rotate(new Pnt2d(1, 2), Math.PI / 2);
Assert.AreEqual("(1,2),(6.12303176911189E-17,1),(-1,6.12303176911189E-17)", p2.ToString());
#endif
res = new Ax22d(new Pnt2d(-1, 0), new Dir2d(1, 0));
p2 = s1;
Assert.AreEqual(res, p2.Scaled(new Pnt2d(2, 3), 3));
p2.Scale(new Pnt2d(2, 3), 3);
Assert.AreEqual(res, p2);
res = new Ax22d(new Pnt2d(-1, -1), new Dir2d(1, 0));
p2 = s1;
Assert.AreEqual(res, p2.Translated(new Pnt2d(3, 5), new Pnt2d(1, 2)));
p2.Translate(new Pnt2d(3, 5), new Pnt2d(1, 2));
Assert.AreEqual(res, p2);
res = new Ax22d(new Pnt2d(3, 5), new Dir2d(1, 0));
p2 = s1;
Assert.AreEqual(res, p2.Translated(new Vec2d(2, 3)));
p2.Translate(new Vec2d(2, 3));
Assert.AreEqual(res, p2);
//gp2.Scaled(new gp_Pnt2d(2, 3, 2), 3);
//TestContext.WriteLine(string.Format(CultureInfo.InvariantCulture, $"({gp2.Location().x},{gp2.Location().y},{gp2.Location().z}), ({gp2.XDir2dection().x},{gp2.XDir2dection().y},{gp2.XDir2dection().z}), ({gp2.YDir2dection().x},{gp2.YDir2dection().y},{gp2.YDir2dection().z}), ({gp2.Dir2dection().x},{gp2.Dir2dection().y},{gp2.Dir2dection().z})"));
//gp_Trsf gt1 = new gp_Trsf();
//gt1.SetRotation(gp.OZ(), Math.PI / 2);
//gp2.Transform(gt1);
//TestContext.WriteLine(string.Format(CultureInfo.InvariantCulture, $"({gp2.Location().x},{gp2.Location().y},{gp2.Location().z}), ({gp2.XDir2dection().x},{gp2.XDir2dection().y},{gp2.XDir2dection().z}), ({gp2.YDir2dection().x},{gp2.YDir2dection().y},{gp2.YDir2dection().z}), ({gp2.Dir2dection().x},{gp2.Dir2dection().y},{gp2.Dir2dection().z})"));
Trsf2d t1 = new Trsf2d();
t1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
p2 = s1;
#if DEBUG
Assert.AreEqual("(1,2),(6.12323399573677E-17,1),(-1,6.12323399573677E-17)", p2.Transformed(t1).ToString());
p2.Transform(t1);
Assert.AreEqual("(1,2),(6.12323399573677E-17,1),(-1,6.12323399573677E-17)", p2.ToString());
#else
Assert.AreEqual("(1,2),(6.12303176911189E-17,1),(-1,6.12303176911189E-17)", p2.Transformed(t1).ToString());
p2.Transform(t1);
Assert.AreEqual("(1,2),(6.12303176911189E-17,1),(-1,6.12303176911189E-17)", p2.ToString());
#endif
}
public void ValueType_Ax2d()
{
Assert.AreEqual(new Ax2d(Pnt2d.Origin, Dir2d.DX), Ax2d.OX);
Assert.AreEqual(new Ax2d(Pnt2d.Origin, Dir2d.DY), Ax2d.OY);
var s1 = new Ax2d(new Pnt2d(1, 2), new Dir2d(1, 0));
var s2 = new Ax2d(new Pnt2d(2, 3), new Dir2d(0, 1));
var p1 = s1;
var p2 = s2;
Assert.IsFalse(p1.IsCoaxial(p2, 0.1, 0.1));
Assert.IsFalse(p1.IsCoaxial(p2, Math.PI / 2, 0.1));
Assert.IsTrue(p1.IsCoaxial(p2, Math.PI / 2, 2.0));
Assert.IsTrue(p1.IsNormal(p2, 0.1));
Assert.IsFalse(p1.IsOpposite(p2, 0.1));
Assert.IsTrue(p1.IsOpposite(p2, Math.PI / 2));
Assert.IsFalse(p1.IsParallel(p2, 0.1));
Assert.IsTrue(p1.IsParallel(p2, Math.PI / 2));
Assert.AreEqual(Math.PI / 2, p1.Angle(p2));
var m1 = new Ax2d(new Pnt2d(1, 2), new Dir2d(-1, 0));
p2 = s1;
p2.Reverse();
Assert.AreEqual(m1, p2);
Assert.AreEqual(m1, p1.Reversed());
m1 = new Ax2d(new Pnt2d(-1, 0), new Dir2d(-1, 0));
p2 = s1;
p2.Mirror(new Pnt2d(0, 1));
Assert.AreEqual(m1, p2);
Assert.AreEqual(m1, p1.Mirrored(new Pnt2d(0, 1)));
m1 = new Ax2d(new Pnt2d(-1, 2), new Dir2d(-1, 0));
var m2 = new Ax2d(new Pnt2d(0, 1), new Dir2d(0, 1));
p2 = s1;
p2.Mirror(m2);
Assert.AreEqual(m1, p2);
Assert.AreEqual(m1, p1.Mirrored(m2));
p2 = s1;
#if DEBUG
Assert.AreEqual("(1,2),(6.12323399573677E-17,1)", p2.Rotated(new Pnt2d(1, 2), Math.PI / 2).ToString());
p2.Rotate(new Pnt2d(1, 2), Math.PI / 2);
Assert.AreEqual("(1,2),(6.12323399573677E-17,1)", p2.ToString());
#else
Assert.AreEqual("(1,2),(6.12303176911189E-17,1)", p2.Rotated(new Pnt2d(1, 2), Math.PI / 2).ToString());
p2.Rotate(new Pnt2d(1, 2), Math.PI / 2);
Assert.AreEqual("(1,2),(6.12303176911189E-17,1)", p2.ToString());
#endif
m1 = new Ax2d(new Pnt2d(-1, 0), new Dir2d(1, 0));
p2 = s1;
p2.Scale(new Pnt2d(2, 3), 3);
Assert.AreEqual(m1, p2);
Assert.AreEqual(m1, p1.Scaled(new Pnt2d(2, 3), 3));
m1 = new Ax2d(new Pnt2d(-1, -1), new Dir2d(1, 0));
p2 = s1;
p2.Translate(new Pnt2d(3, 5), new Pnt2d(1, 2));
Assert.AreEqual(m1, p2);
Assert.AreEqual(m1, p1.Translated(new Pnt2d(3, 5), new Pnt2d(1, 2)));
m1 = new Ax2d(new Pnt2d(3, 5), new Dir2d(1, 0));
p2 = s1;
p2.Translate(new Vec2d(2, 3));
Assert.AreEqual(m1, p2);
Assert.AreEqual(m1, p1.Translated(new Vec2d(2, 3)));
// TestContext.WriteLine(string.Format(CultureInfo.InvariantCulture, $"{gp2.Location().x},{gp2.Location().y},{gp2.Location().z} - {gp2.Direction().x},{gp2.Direction().y},{gp2.Direction().z}"));
Trsf2d t1 = new Trsf2d();
t1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
p2 = s1;
#if DEBUG
Assert.AreEqual("(1,2),(6.12323399573677E-17,1)", p2.Transformed(t1).ToString());
p2.Transform(t1);
Assert.AreEqual("(1,2),(6.12323399573677E-17,1)", p2.ToString());
#else
Assert.AreEqual("(1,2),(6.12303176911189E-17,1)", p2.Transformed(t1).ToString());
p2.Transform(t1);
Assert.AreEqual("(1,2),(6.12303176911189E-17,1)", p2.ToString());
#endif
}
public void ValueType_Vec2d()
{
var p1 = new Vec2d(1, 0);
var p2 = new Vec2d(0, 1);
Assert.IsFalse(p1.IsEqual(p2, 0.99, 0.1));
Assert.IsTrue(p1.IsEqual(p2, 1.01, 0.1));
Assert.IsTrue(p1.IsEqual(p2, 0.99, Math.PI / 2));
Assert.IsTrue(p1.IsNormal(p2, 0.1));
Assert.IsFalse(p1.IsOpposite(p2, 0.1));
Assert.IsTrue(p1.IsOpposite(p2, Math.PI / 2));
Assert.IsFalse(p1.IsParallel(p2, 0.1));
Assert.IsTrue(p1.IsParallel(p2, Math.PI / 2));
p1 = new Vec2d(1, 2);
p2 = new Vec2d(4, 5);
Assert.AreEqual(5, p1.SquareMagnitude());
Assert.AreEqual(Math.Sqrt(5), p1.Magnitude());
p2 = p1;
p2.Add(new Vec2d(1, 2));
Assert.AreEqual(new Vec2d(2, 4), p2);
Assert.AreEqual(new Vec2d(2, 4), p1.Added(new Vec2d(1, 2)));
p2 = new Vec2d(1, 2);
p2.Subtract(new Vec2d(3, 2));
Assert.AreEqual(new Vec2d(-2, 0), p2);
Assert.AreEqual(new Vec2d(-2, 0), p1.Subtracted(new Vec2d(3, 2)));
p2 = new Vec2d(1, 2);
Assert.AreEqual(-4, p1.Crossed(new Vec2d(3, 2)));
Assert.AreEqual(Math.Sqrt(16), p1.CrossMagnitude(new Vec2d(3, 2)));
Assert.AreEqual(16, p1.CrossSquareMagnitude(new Vec2d(3, 2)));
p2 = new Vec2d(1, 2);
p2.Divide(2);
Assert.AreEqual(new Vec2d(0.5, 1), p2);
Assert.AreEqual(new Vec2d(0.5, 1), p1.Divided(2));
Assert.AreEqual(5, p1.Dot(new Vec2d(1, 2)));
p2 = new Vec2d(1, 2);
p2.Multiply(2);
Assert.AreEqual(new Vec2d(2, 4), p2);
Assert.AreEqual(new Vec2d(2, 4), p1.Multiplied(2));
p2 = new Vec2d(1, 2);
p2.Scale(2);
Assert.AreEqual(new Vec2d(2, 4), p2);
Assert.AreEqual(new Vec2d(2, 4), p1.Scaled(2));
p2 = new Vec2d(1, 23);
Assert.AreEqual("0.0434372242763069,0.99905615835506", p2.Normalized().ToString());
p2.Normalize();
Assert.AreEqual("0.0434372242763069,0.99905615835506", p2.ToString());
p2 = new Vec2d(1, 2);
p2.Reverse();
Assert.AreEqual(new Vec2d(-1, -2), p2);
Assert.AreEqual(new Vec2d(-1, -2), p1.Reversed());
p2.SetLinearForm(new Vec2d(1, 2), new Vec2d(4, 5));
Assert.AreEqual(new Vec2d(5, 7), p2);
p2.SetLinearForm(2, new Vec2d(1, 2), new Vec2d(4, 5));
Assert.AreEqual(new Vec2d(6, 9), p2);
p2.SetLinearForm(2, new Vec2d(1, 2), 3, new Vec2d(4, 5));
Assert.AreEqual(new Vec2d(14, 19), p2);
p2.SetLinearForm(2, new Vec2d(1, 2), 3, new Vec2d(4, 5), new Vec2d(7, 8));
Assert.AreEqual(new Vec2d(21, 27), p2);
p2 = new Vec2d(2, 1);
Assert.AreEqual(new Vec2d(1, 0), p2.Mirrored(new Vec2d(1, 0)));
p2.Mirror(new Vec2d(1, 0));
Assert.AreEqual(new Vec2d(1, 0), p2);
var m2 = new Ax2d(new Pnt2d(-1, 2), new Dir2d(-1, 0));
p2 = new Vec2d(2, 1);
Assert.AreEqual(new Vec2d(2, -1), p2.Mirrored(m2));
p2.Mirror(m2);
Assert.AreEqual(new Vec2d(2, -1), p2);
p2 = new Vec2d(2, 1);
Assert.AreEqual("-1,2", p2.Rotated(Math.PI / 2).ToString());
p2.Rotate(Math.PI / 2);
Assert.AreEqual("-1,2", p2.ToString());
//TestContext.WriteLine(string.Format(CultureInfo.InvariantCulture, "{0},{1},{2}", gp2.x, gp2.y, gp2.z));
Trsf2d t1 = new Trsf2d();
t1.SetRotation(new Pnt2d(1, 2), Math.PI / 2);
p2 = new Vec2d(2, 1);
Assert.AreEqual("-1,2", p2.Transformed(t1).ToString());
p2.Transform(t1);
Assert.AreEqual("-1,2", p2.ToString());
}