public int CompareTo(object obj)
{
ReducedSignMatrix other = (ReducedSignMatrix)obj;
if (this.data.Length > other.data.Length)
{
return(1);
}
if (this.data.Length < other.data.Length)
{
return(-1);
}
for (int i = 0; i < this.data.Length; i++)
{
if (this.data[i] == other.data[i])
{
continue;
}
if (this.data[i] > other.data[i])
{
return(-1);
}
if (this.data[i] < other.data[i])
{
return(1);
}
}
return(0);
}
public ProjectionSignMatrixDistribution(long sampleSize, int dimensions)
{
for (long i = sampleSize; i > 0; i--)
{
Ngon ngon = Program.generateRandomNgon(dimensions);
ProjectionMatrix projetion = new ProjectionMatrix(ngon);
SignMatrix signMatrix = new SignMatrix(projetion);
SignMatrix fullKey = similarFullMatrix.Keys.FirstOrDefault(m => m.Equals(signMatrix));
if (fullKey == null)
{
similarFullMatrix.Add(signMatrix, new List <Ngon>());
fullKey = signMatrix;
}
similarFullMatrix[fullKey].Add(ngon);
ReducedSignMatrix reducedKey = similarReducedMatrix.Keys.FirstOrDefault(m => m.Equals(signMatrix.getReduced()));
if (reducedKey == null)
{
similarReducedMatrix.Add(signMatrix.getReduced(), new List <Ngon>());
reducedKey = signMatrix.getReduced();
}
similarReducedMatrix[reducedKey].Add(ngon);
if (i % (sampleSize / 100) == 0)
{
Console.Write("\rCreating sign matrix table: {0}% ", i / (sampleSize / 100));
}
}
}
public int[] predictFiveReduced2(ReducedSignMatrix reduced1)
{
var result = predictConvexReduced2(reduced1);
result[0] = -result[0];
result[1] = -result[1];
return(result);
}
public PluckerAndProjectionMatricesDistribution(long sampleSize, int dimensions)
{
for (long i = sampleSize; i > 0; i--)
{
Ngon ngon = Program.generateRandomNgon(dimensions);
#region Plucker
PluckerMatrix plucker = new PluckerMatrix(ngon);
SignMatrix pluckerSign = new SignMatrix(plucker);
SignMatrix fullPluckerKey = similarPluckerFullMatrix.Keys.FirstOrDefault(m => m.Equals(pluckerSign));
if (fullPluckerKey == null)
{
similarPluckerFullMatrix.Add(pluckerSign, new List <Ngon>());
fullPluckerKey = pluckerSign;
}
similarPluckerFullMatrix[fullPluckerKey].Add(ngon);
ReducedSignMatrix reducedPluckerKey = similarReducedMatrix.Keys.FirstOrDefault(m => m.Equals(pluckerSign.getReduced()));
if (reducedPluckerKey == null)
{
similarReducedMatrix.Add(pluckerSign.getReduced(), new List <Ngon>());
reducedPluckerKey = pluckerSign.getReduced();
}
similarReducedMatrix[reducedPluckerKey].Add(ngon);
#endregion
#region Projection
ProjectionMatrix projection = new ProjectionMatrix(ngon);
SignMatrix projectionSign = new SignMatrix(projection);
SignMatrix fullProjectionKey = similarProjectionFullMatrix.Keys.FirstOrDefault(m => m.Equals(projectionSign));
if (fullProjectionKey == null)
{
similarProjectionFullMatrix.Add(projectionSign, new List <Ngon>());
fullProjectionKey = projectionSign;
}
similarProjectionFullMatrix[fullProjectionKey].Add(ngon);
#endregion
SignMatrix fullMatrixKey = matrixMap.Keys.FirstOrDefault(m => m.Equals(pluckerSign));
if (fullMatrixKey == null)
{
matrixMap.Add(pluckerSign, new Dictionary <SignMatrix, int>());
fullMatrixKey = pluckerSign;
}
SignMatrix projectionResult = matrixMap[fullMatrixKey].Keys.FirstOrDefault(m => m.Equals(projectionSign));
if (projectionResult == null)
{
matrixMap[fullMatrixKey].Add(projectionSign, 0);
projectionResult = projectionSign;
}
matrixMap[fullMatrixKey][projectionResult]++;
if (i % (sampleSize / 100) == 0)
{
Console.Write("\rCreating sign matrix table: {0}% ", i / (sampleSize / 100));
}
}
}
public int[] predictConvexReduced2(ReducedSignMatrix reduced1)
{
int[] result = new int[2];
result[0] = ((reduced1.data[0] == 1) ^ (reduced1.data[1] == 1)) ? 1 : -1;
result[1] = ((reduced1.data[2] == 1) ^ (reduced1.data[3] == 1)) ? 1 : -1;
if (reduced1.countPositive() % 2 == 1)
{
result[0] = -result[0];
result[1] = -result[1];
}
return(result);
}
public MultipleReducedMatricesDistribution(int dimensions = 5)
{
db = new NgonDatabase(dimensions);
Matrix <double> mask = Matrix <double> .Build.Dense(dimensions, dimensions, 1);
if (dimensions == 5)
{
mask[3, 0] = 0;
mask[3, 1] = 0;
mask[4, 1] = 0;
}
if (dimensions == 4)
{
mask[2, 0] = 0;
mask[3, 2] = 0;
}
foreach (SignMatrix matrix in db.PluckerSignMatrices)
{
var reduced1 = matrix.getReduced();
var reduced2 = matrix.getReduced2(mask);
ReducedSignMatrix reduced1Key = similarReducedMatrix.Keys.FirstOrDefault(m => m.Equals(reduced1));
if (reduced1Key == null)
{
similarReducedMatrix.Add(reduced1, new List <ReducedSignMatrix2>());
reduced1Key = reduced1;
}
ReducedSignMatrix2 reduced2Key = similarReduced2Matrix.Keys.FirstOrDefault(m => m.Equals(reduced2));
if (reduced2Key == null)
{
similarReducedMatrix[reduced1Key].Add(reduced2);
similarReduced2Matrix.Add(reduced2, new List <SignMatrix>());
reduced2Key = reduced2;
}
similarReduced2Matrix[reduced2Key].Add(matrix);
}
}
public MaskExperiment4()
{
int dimensions = 4;
db = new NgonDatabase(dimensions);
Matrix <double> mask = Matrix <double> .Build.Dense(dimensions, dimensions, 1);
mask[2, 0] = 0;
mask[3, 2] = 0;
foreach (SignMatrix matrix in db.PluckerSignMatrices)
{
var reduced1 = matrix.getReduced();
var reduced2 = matrix.getReduced2(mask);
ReducedSignMatrix reduced1Key = similarReducedMatrix.Keys.FirstOrDefault(m => m.Equals(reduced1));
if (reduced1Key == null)
{
similarReducedMatrix.Add(reduced1, new List <SignMatrix>());
reduced1Key = reduced1;
}
similarReducedMatrix[reduced1Key].Add(matrix);
}
}