/// <inheritdoc/>
public bool Equals([AllowNull] DpiScale other)
{
return
(other != null &&
Precision.AlmostEqual(other.DpiScaleX, this.DpiScaleX) &&
Precision.AlmostEqual(other.DpiScaleY, this.DpiScaleY));
}
public void DCTestCircuit_SolveX()
{
var builder = Vector <double> .Build;
var testCkt = DCTestCircuit();
double[] shouldArr = { -8, 24, 20, -4, 1 };
var should = builder.DenseOfArray(shouldArr);
Assert.True(Precision.AlmostEqual(DCAnalysis.SolveX(testCkt), should, 8));
}
public void DCTestCircuit_GenZ()
{
var builder = Vector <double> .Build;
var testCkt = DCTestCircuit();
double[] shouldArr = { 0, 0, 0, 32, 20 };
var should = builder.DenseOfArray(shouldArr);
Assert.True(Precision.AlmostEqual(DCAnalysis.GenZ(testCkt), should, 8));
}
/*
* Determines whether the specified quantum gate is equal to the current quantum gate, ignoring floating-point precision issues
*/
public bool AlmostEquals(object obj)
{
QuantumGate quantumGate = obj as QuantumGate;
if (quantumGate == null || this.Matrix.ColumnCount != quantumGate.Matrix.ColumnCount || this.Matrix.RowCount != quantumGate.Matrix.RowCount)
{
return(false);
}
return(Precision.AlmostEqual <Complex>(this.Matrix, quantumGate.Matrix, 15));
}
/*
* Determines whether the specified quantum register is equal to the current quantum register, ignoring floating-point precision issues
*/
public bool AlmostEquals(object obj)
{
QuantumRegister quantumRegister = obj as QuantumRegister;
if (quantumRegister == null || this.Vector.Count != quantumRegister.Vector.Count)
{
return(false);
}
return(Precision.AlmostEqual <Complex>(this.Vector, quantumRegister.Vector, 15));
}
/// <summary>
/// Checks whether two Buckets are equal; this method tolerates a difference in lowerbound, upperbound
/// and count given by <seealso cref="Precision.AlmostEqual(double,double)"/>.
/// </summary>
public override bool Equals(object obj)
{
if (!(obj is Bucket))
{
return(false);
}
Bucket b = (Bucket)obj;
return(Precision.AlmostEqual(this.LowerBound, b.LowerBound) &&
Precision.AlmostEqual(this.UpperBound, b.UpperBound) &&
Precision.AlmostEqual(this.Count, b.Count));
}
private Vector FindNearestNeighbour(Vector location,
KdTreeNode node, Vector bestValue, float bestDistance, int depth)
{
if (node == null) // no where left to search, return best value
{
return(bestValue);
}
var dimension = depth % this.Dimensionality;
var nodeValue = node.Value;
var distance = (nodeValue - location).Norm(this.Dimensionality);
// Check if current node is better than best node.
// Current node cannot be same as search location.
if (!Precision.AlmostEqual(distance, 0) &&
(distance < bestDistance))
{
bestValue = nodeValue;
bestDistance = distance;
}
// Check for best node in sub-tree of near child. i.e., which side of Node is the query point?
var nearChildNode = (location[dimension] < nodeValue[dimension]) ?
node.LeftChild : node.RightChild;
if (nearChildNode != null)
{
var nearBestValue = FindNearestNeighbour(location, nearChildNode, bestValue, bestDistance, depth + 1);
var nearBestDistance = (nearBestValue - location).Norm(this.Dimensionality);
bestValue = nearBestValue;
bestDistance = nearBestDistance;
}
// Check whether splitting hyperplane given by current node intersects with hypersphere of current smallest
// distance around given location.
if (bestDistance > Math.Abs(nodeValue[dimension] - location[dimension]))
{
// Check for best node in sub-tree of far child.
var farChildNode = nearChildNode == node.LeftChild ? node.RightChild : node.LeftChild; // i.e. not the near child
if (farChildNode != null)
{
var farBestValue = FindNearestNeighbour(location, farChildNode, bestValue, bestDistance, depth + 1);
var farBestDistance = (farBestValue - location).Norm(this.Dimensionality);
bestValue = farBestValue;
bestDistance = farBestDistance;
}
}
return(bestValue);
}
public void DCTestCircuit_GenA()
{
var builder = Matrix <double> .Build;
var testCkt = DCTestCircuit();
double[,] shouldArr =
{
{ 0.5, 0, 0, -1, 0 },
{ 0, 0.375, -0.25, 1, 0 },
{ 0, -0.25, 0.25, 0, 1 },
{ -1, 1, 0, 0, 0 },
{ 0, 0, 1, 0, 0 },
};
var should = builder.DenseOfArray(shouldArr);
Assert.True(Precision.AlmostEqual(DCAnalysis.GenA(testCkt), should, 8));
}
static void TestACISource()
{
var ckt = ACISourceTestCircuit();
var data = new TransientAnalysisData(ckt, 1E-2, 2);
TransientAnalysis.Analyze(ckt, ref data);
var dataVList = new List <double>();
foreach (var item in data.Result)
{
dataVList.Add(item[0]);
}
double[] dataV = dataVList.ToArray();
double[] shouldDataV =
{
2,
2,
2,
2,
2,
1.2928932188134525,
1.4909585842496287,
1.7210088939607708,
1.9685892409218717,
2.2181432413965423,
2.4539904997395467,
2.6613118653236514,
2.8270805742745617,
2.940880768954225,
2.99556196460308,
2.9876883405951378,
2.9177546256839815,
2.79015501237569,
2.612907053652976,
2.39714789063478,
};
for (int i = 0; i < 20; i++)
{
Assert.True(Precision.AlmostEqual(dataV[i], shouldDataV[i], 8));
}
}
static void RLTestCircuit_TransAnalysis()
{
var ckt = RLTestCircuit();
var data = new TransientAnalysisData(ckt, 1E-5, 6E-3);
TransientAnalysis.Analyze(ckt, ref data);
var dataVList = new List <double>();
foreach (var item in data.Result)
{
dataVList.Add(item[0] - item[1]);
}
double[] dataV = dataVList.ToArray();
double[] shouldDataV =
{
0,
0.009900990099009901,
0.019703950593079108,
0.029409852072355552,
0.039019655517183706,
0.048534312393251185,
0.057954764745793245,
0.06728194529286459,
0.0765167775176877,
0.08566017576008682,
0.09471304530701664,
0.10367628248219468,
0.1125507747348462,
0.12133740072757047,
0.13003703042333706,
0.13865052517162083,
0.14717873779368396,
0.1556225126670138,
0.16398268580892456,
0.1722600849593312,
};
for (int i = 0; i < 20; i++)
{
Assert.True(Precision.AlmostEqual(dataV[i], shouldDataV[i], 8));
}
}
/// <summary>
/// Comparison of two disjoint buckets. The buckets cannot be overlapping.
/// </summary>
public int CompareTo(Bucket bucket)
{
if (this.UpperBound > bucket.LowerBound && this.LowerBound < bucket.LowerBound)
{
throw new ArgumentException(Resources.PartialOrderException);
}
if (Precision.AlmostEqual(this.UpperBound, bucket.UpperBound) &&
Precision.AlmostEqual(this.LowerBound, bucket.LowerBound))
{
return(0);
}
if (bucket.UpperBound <= this.LowerBound)
{
return(1);
}
return(-1);
}
private void FindInRange(Vector location,
KdTreeNode node, float range, IList <Vector> valuesList, int depth)
{
if (node == null)
{
return;
}
var dimension = depth % this.Dimensionality;
var distance = (node.Value - location).Norm(this.Dimensionality);
// Add current node to list if it lies within given range.
// Current node cannot be same as search location.
if (!Precision.AlmostEqual(distance, 0.0f) &&
(distance < range))
{
valuesList.Add(node.Value);
}
// Check for nodes in sub-tree of near child.
var nearChildNode = (location[dimension] < node.Value[dimension]) ?
node.LeftChild : node.RightChild;
if (nearChildNode != null)
{
FindInRange(location, nearChildNode, range, valuesList, depth + 1);
}
// Check whether splitting hyperplane given by current node intersects with hypersphere of current
// smallest distance around given location.
if ((range > Math.Abs(node.Value[dimension] - location[dimension])))
{
// Check for nodes in sub-tree of far child.
var farChildNode = nearChildNode == node.LeftChild ? node.RightChild : node.LeftChild;
if (farChildNode != null)
{
FindInRange(location, farChildNode, range, valuesList, depth + 1);
}
}
}
/// <inheritdoc/>
public bool Equals([AllowNull] System.Windows.DpiScale other)
{
return
(Precision.AlmostEqual(this.DpiScaleX, other.DpiScaleX) &&
Precision.AlmostEqual(this.DpiScaleY, other.DpiScaleY));
}
public override bool AlmostEqual(double a, double b)
{
return(Precision.AlmostEqual(a, b));
}
public static bool LengthAlmostEqual(this Vector2D thisPoint, double length, double thresholdInPercent)
{
return(Precision.AlmostEqual(thisPoint.Length, length, length * thresholdInPercent));
}
public static bool AlmostEqual(this Point2D thisPoint, Point2D thatPoint, double threshold)
{
return(Precision.AlmostEqual(thisPoint.X, thatPoint.X, threshold) && Precision.AlmostEqual(thisPoint.Y, thatPoint.Y, threshold));
}