public void OrthonormalBasisTest() { var p = new CSP(); p.MaxSteps = 10000000; var v1 = new Vector3Variable("v1", p, box); var v2 = new Vector3Variable("v2", p, box); var v3 = new Vector3Variable("v3", p, box); v1.Magnitude.MustEqual(1); v2.Magnitude.MustEqual(1); v3.Magnitude.MustEqual(1); v1.MustBePerpendicular(v2); v2.MustBePerpendicular(v3); v3.MustBePerpendicular(v1); for (int count = 0; count < 10; count++) { p.NewSolution(); double magnitude = Math.Sqrt(v1.X * v1.X + v1.Y * v1.Y + v1.Z * v1.Z); Assert.IsTrue(MathUtil.NearlyEqual(magnitude, 1), "Magnitude not unity; was: " + magnitude); double dotProduct = v1.X * v2.X + v1.Y * v2.Y + v1.Z * v2.Z; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: " + dotProduct); magnitude = Math.Sqrt(v2.X * v2.X + v2.Y * v2.Y + v2.Z * v2.Z); Assert.IsTrue(MathUtil.NearlyEqual(magnitude, 1), "Magnitude not unity; was: " + magnitude); dotProduct = v2.X * v3.X + v2.Y * v3.Y + v2.Z * v3.Z; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: " + dotProduct); magnitude = Math.Sqrt(v3.X * v3.X + v3.Y * v3.Y + v3.Z * v3.Z); Assert.IsTrue(MathUtil.NearlyEqual(magnitude, 1), "Magnitude not unity; was: " + magnitude); dotProduct = v3.X * v1.X + v3.Y * v1.Y + v3.Z * v1.Z; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: " + dotProduct); } }
public void UnconstrainedSumTest() { var p = new CSP(); var a = new FloatVariable("a", p, 0, 1); var b = new FloatVariable("b", p, 0, 1); var sum = a + b; for (int i = 0; i < 1000; i++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(sum.UniqueValue, (a.UniqueValue + b.UniqueValue))); } }
public void UnitVectorTest() { var p = new CSP(); var v = new Vector3Variable("v", p, box); v.Magnitude.MustEqual(1); for (int count = 0; count < 1000; count++) { p.NewSolution(); double magnitude = Math.Sqrt(v.X * v.X + v.Y * v.Y + v.Z * v.Z); Assert.IsTrue(MathUtil.NearlyEqual(magnitude, 1), "Magnitude not unity; was: " + magnitude); } }
public void DotProductOneVectorFixedTest() { var p = new CSP(); var eX = new Vector3Variable("eX", p, 1, 0, 0); var unknown = new Vector3Variable("unknown", p, box); var dot = Vector3Variable.Dot(eX, unknown); dot.MustEqual(0); for (int count = 0; count < 1000; count++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(unknown.X.UniqueValue, 0)); } }
public void DotProductOneVectorFixedTest() { var p = new CSP(); var eX = new Vector3Variable("eX", p, 1, 0, 0); var unknown = new Vector3Variable("unknown", p, box); var dot = Vector3Variable.Dot(eX, unknown); dot.MustEqual(0); for (int count = 0; count < 1000; count++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(unknown.X.UniqueValue, 0)); } }
public void DotProductTest() { var p = new CSP(); var v1 = new Vector3Variable("v1", p, box); var v2 = new Vector3Variable("v2", p, box); var dot = Vector3Variable.Dot(v1, v2); dot.MustEqual(0); for (int count = 0; count < 1000; count++) { p.NewSolution(); double dotProduct = v1.X.UniqueValue * v2.X.UniqueValue + v1.Y.UniqueValue * v2.Y.UniqueValue + v1.Z.UniqueValue * v2.Z.UniqueValue; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: "+dotProduct); } }
public void DotProductTest() { var p = new CSP(); var v1 = new Vector3Variable("v1", p, box); var v2 = new Vector3Variable("v2", p, box); var dot = Vector3Variable.Dot(v1, v2); dot.MustEqual(0); for (int count = 0; count < 1000; count++) { p.NewSolution(); double dotProduct = v1.X.UniqueValue * v2.X.UniqueValue + v1.Y.UniqueValue * v2.Y.UniqueValue + v1.Z.UniqueValue * v2.Z.UniqueValue; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: " + dotProduct); } }
public void QuadraticTest() { var p = new CSP(); var a = new FloatVariable("a", p, -100, 100); var b = new FloatVariable("b", p, -100, 100); var quad = (a ^ 2) + b; bool fail = false; quad.NarrowTo(new Interval(10, 20), ref fail); for (int i = 0; i < 1000; i++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(quad.UniqueValue, (a.UniqueValue * a.UniqueValue + b.UniqueValue))); } }
public void DotProductTest() { var p = new CSP(); var v1 = new Vector3Variable("v1", p, box); var v2 = new Vector3Variable("v2", p, box); var dot = Vector3Variable.Dot(v1, v2); dot.MustEqual(0); for (int count = 0; count < 1000; count++) { try { p.NewSolution (); } catch (Exception e) { Console.Write ("Finding a new solution failed due to: "); Console.WriteLine (e); Assert.Fail (); } double dotProduct = v1.X.UniqueValue * v2.X.UniqueValue + v1.Y.UniqueValue * v2.Y.UniqueValue + v1.Z.UniqueValue * v2.Z.UniqueValue; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: "+dotProduct); } }
public void EqualityConstraintTest() { { var p = new CSP(); var a = new FloatVariable("a", p, 0, 1); var b = new FloatVariable("b", p, 0, 1); var c = new FloatVariable("c", p); c.MustEqual(b); var sum = a + b; sum.MustEqual(1); for (int i = 0; i < 10; i++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(sum.UniqueValue, (a.UniqueValue + b.UniqueValue))); Assert.AreEqual(c.Value, b.Value); } } { var p = new CSP(); var a = new FloatVariable("a", p, 0, 1); var b = new FloatVariable("b", p, 0, 1); var c = new FloatVariable("c", p); b.MustEqual(c); var sum = a + b; sum.MustEqual(1); for (int i = 0; i < 10; i++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(sum.UniqueValue, (a.UniqueValue + b.UniqueValue))); Assert.AreEqual(c.Value, b.Value); } } }
/// <summary> /// Finds a set of values for the variables. /// Call this to manually randomize if SolveOnLevelLoad is set to false. /// </summary> public void Solve() { if (CSP == null) { this.MakeCSP(); } int retries = 0; bool done = false; timer.Reset(); timer.Start(); while (!done) { try { // ReSharper disable once PossibleNullReferenceException CSP.NewSolution(); done = true; } catch (TimeoutException) { if (retries++ == MaxRestarts) { // Give up throw; } } } timer.Stop(); LastSolveTime = (1000000f * timer.ElapsedTicks) / Stopwatch.Frequency; LastSolution = Variables.Select(v => v.ToString()).ToArray(); WriteValuesToLinkedComponents(); }
public void EqualityConstraintTest() { { var p = new CSP(); var a = new FloatVariable("a", p, 0, 1); var b = new FloatVariable("b", p, 0, 1); var c = new FloatVariable("c", p); c.MustEqual(b); var sum = a + b; sum.MustEqual(1); for (int i = 0; i < 10; i++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(sum.UniqueValue, (a.UniqueValue + b.UniqueValue))); Assert.AreEqual(c.Value, b.Value); } } { var p = new CSP(); var a = new FloatVariable("a", p, 0, 1); var b = new FloatVariable("b", p, 0, 1); var c = new FloatVariable("c", p); b.MustEqual(c); var sum = a + b; sum.MustEqual(1); for (int i = 0; i < 10; i++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(sum.UniqueValue, (a.UniqueValue + b.UniqueValue))); Assert.AreEqual(c.Value, b.Value); } } }
public void OrthonormalBasisTest() { var p = new CSP(); p.MaxSteps = 10000000; var v1 = new Vector3Variable("v1", p, box); var v2 = new Vector3Variable("v2", p, box); var v3 = new Vector3Variable("v3", p, box); v1.Magnitude.MustEqual(1); v2.Magnitude.MustEqual(1); v3.Magnitude.MustEqual(1); v1.MustBePerpendicular(v2); v2.MustBePerpendicular(v3); v3.MustBePerpendicular(v1); for (int count = 0; count < 10; count++) { try { p.NewSolution (); } catch (Exception e) { Console.Write ("Finding a new solution failed due to: "); Console.WriteLine (e); Assert.Fail (); } double magnitude = Math.Sqrt(v1.X * v1.X + v1.Y * v1.Y + v1.Z * v1.Z); Assert.IsTrue(MathUtil.NearlyEqual(magnitude, 1), "Magnitude not unity; was: " + magnitude); double dotProduct = v1.X * v2.X + v1.Y * v2.Y + v1.Z * v2.Z; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: " + dotProduct); magnitude = Math.Sqrt(v2.X * v2.X + v2.Y * v2.Y + v2.Z * v2.Z); Assert.IsTrue(MathUtil.NearlyEqual(magnitude, 1), "Magnitude not unity; was: " + magnitude); dotProduct = v2.X * v3.X + v2.Y * v3.Y + v2.Z * v3.Z; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: " + dotProduct); magnitude = Math.Sqrt(v3.X * v3.X + v3.Y * v3.Y + v3.Z * v3.Z); Assert.IsTrue(MathUtil.NearlyEqual(magnitude, 1), "Magnitude not unity; was: " + magnitude); dotProduct = v3.X * v1.X + v3.Y * v1.Y + v3.Z * v1.Z; Assert.IsTrue(MathUtil.NearlyEqual(dotProduct, 0), "Dot product not zero; was: " + dotProduct); } }
public void UnitVectorTest() { var p = new CSP(); var v = new Vector3Variable("v", p, box); v.Magnitude.MustEqual(1); for (int count = 0; count < 1000; count++) { p.NewSolution(); double magnitude = Math.Sqrt(v.X*v.X+v.Y*v.Y+v.Z*v.Z); Assert.IsTrue(MathUtil.NearlyEqual(magnitude, 1), "Magnitude not unity; was: " + magnitude); } }
public void UnconstrainedSumTest() { var p = new CSP(); var a = new FloatVariable("a", p, 0, 1); var b = new FloatVariable("b", p, 0, 1); var sum = a + b; for (int i = 0; i < 1000; i++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(sum.UniqueValue, (a.UniqueValue + b.UniqueValue))); } }
public void QuadraticTest() { var p = new CSP(); var a = new FloatVariable("a", p, -100, 100); var b = new FloatVariable("b", p, -100, 100); var quad = (a^2) + b; bool fail = false; quad.NarrowTo(new Interval(10, 20), ref fail); for (int i = 0; i < 1000; i++) { p.NewSolution(); Assert.IsTrue(MathUtil.NearlyEqual(quad.UniqueValue, (a.UniqueValue * a.UniqueValue + b.UniqueValue))); } }