SobolQuasiRandomGenerator Class 
Namespace: CenterSpace.NMath.Core
The SobolQuasiRandomGenerator type exposes the following members.
Name  Description  

SobolQuasiRandomGenerator(Int32) 
Constructs a SobolQuasiRandomGenerator for generating quasirandom points
in ndimensioal space.
 
SobolQuasiRandomGenerator(Int32, BitArray) 
Constructs a SobolQuasiRandomGenerator for generating quasirandom points
in ndimensioal space. Uses the given set of primitive polynomials to initialize
the generator.
 
SobolQuasiRandomGenerator(Int32, Int32) 
Constructs a SobolQuasiRandomGenerator for generating quasirandom points
in ndimensioal space. The resulting generator is initialized with the given
direction numbers.
 
SobolQuasiRandomGenerator(Int32, BitArray, Int32) 
Constructs a SobolQuasiRandomGenerator for generating quasirandom points
in ndimensioal space. Uses the given set of primitive polynomials and directionto initialize
numbers to initialize the generator.

Name  Description  

Dimension 
Gets and sets the dimension.
(Inherited from QuasiRandomNumberGenerator.) 
Name  Description  

CheckDimensionAndDirectionNumbers 
Verifies that the number of dimensions is positive and that the number of rows in the direction
numbers table is equal to the number of dimensions or one less than the number of dimensions.
(Overrides QuasiRandomNumberGeneratorCheckDimensionAndDirectionNumbers(Int32, Int32).)  
CheckDimensionAndPolynomials 
Verifies that the dimension is positive and that the number of primitive
polynomials is equal to the number of dimenisons or one less than the
number of dimensions.
(Overrides QuasiRandomNumberGeneratorCheckDimensionAndPolynomials(Int32, BitArray).)  
Clone 
Creates a deep copy of self.
(Overrides QuasiRandomNumberGeneratorClone.)  
Fill(DoubleMatrix) 
Fills the given double precision matrix with M.Cols quasirandom points. The
points are the columns of the matrix, hence the number of rows in the
given matrix must be equal to the Dimension. The quasirandom numbers
will follow a uniform distribution in the hypercube [0,1]^n, where n is
equal to Dimension.
(Inherited from QuasiRandomNumberGenerator.)  
Fill(FloatMatrix) 
Fills the given single precision matrix with M.Cols quasirandom points. The
points are the columns of the matrix, hence the number of rows in the
given matrix must be equal to the Dimension. The quasirandom numbers
will follow a uniform distribution in the hypercube [0,1]^n, where n is
equal to Dimension.
(Inherited from QuasiRandomNumberGenerator.)  
Fill(IRandomNumberDistributionDouble, DoubleMatrix) 
Fills the given double precision matrix with M.Cols quasirandom points. The
points are the columns of the matrix, hence the number of rows in the
given matrix must be equal to the Dimension. The quasirandom numbers
will follow the given distribution.
(Inherited from QuasiRandomNumberGenerator.)  
Fill(IRandomNumberDistributionSingle, FloatMatrix) 
Fills the given single precision matrix with M.Cols quasirandom points. The
points are the columns of the matrix, hence the number of rows in the
given matrix must be equal to the Dimension. The quasirandom numbers
will follow the given distribution.
(Inherited from QuasiRandomNumberGenerator.)  
Fill(DoubleMatrix, Double, Double) 
Fills the given double precision matrix with M.Cols quasirandom points. The
points are the columns of the matrix, hence the number of rows in the
given matrix must be equal to the Dimension. The quasirandom numbers
will follow a uniform distribution in the hypercube [a,b]^n, where n is
equal to Dimension.
(Inherited from QuasiRandomNumberGenerator.)  
Fill(FloatMatrix, Single, Single) 
Fills the given single precision matrix with M.Cols quasirandom points. The
points are the columns of the matrix, hence the number of rows in the
given matrix must be equal to the Dimension. The quasirandom numbers
will follow a uniform distribution in the hypercube [a,b]^n, where n is
equal to Dimension.
(Inherited from QuasiRandomNumberGenerator.)  
FillT(IRandomNumberDistributionT, T) 
Fills an array with quasirandom numbers from the specified
distribution. The quasirandom numbers, which are tuples of length
Dimension are layed out linearly in the array r.
If Dimension = n, then the first ndimensional quasirandom
point occupies r[0], r[1],...,r[n1], the second occupies
r[n], r[n+1],...,r[2n1], and so on.
(Inherited from QuasiRandomNumberGenerator.)  
Next(IRandomNumberDistributionDouble, Int32) 
Creates a double precision matrix filled with quasirandom points which follow the given
probability distribution. The columns of the matrix are the points, and
hence the matrix will contain Dimension rows and numSamples
columns.
(Inherited from QuasiRandomNumberGenerator.)  
Next(IRandomNumberDistributionSingle, Int32) 
Creates a single precision matrix filled with quasirandom points which follow the given
probability distribution. The columns of the matrix are the points, and
hence the matrix will contain Dimension rows and numSamples
columns.
(Inherited from QuasiRandomNumberGenerator.)  
NextT(IRandomNumberDistributionT, Int32) 
Creates an array filled with quasirandom numbers from the specified
distribution. The quasirandom numbers, which are tuples of length
Dimension are layed out linearly in the array r.
If Dimension = n, then the first ndimensional quasirandom
point occupies r[0], r[1],...,r[n1], the second occupies
r[n], r[n+1],...,r[2n1], and so on.
(Inherited from QuasiRandomNumberGenerator.) 
Name  Description  

stream_ 
Basic random stream for uniform quasirandom numbers in ndimensional
hypercube.
(Inherited from QuasiRandomNumberGenerator.) 
Sobol is a 32bit gray codebased quasirandom number generator defined by
Xn+1 = Xn @ Vcn
Un = Xn/pow(2 32)
where @ represents an exclusive or operation, the sdimensional vectors Vi are the direction numbers,
ci is the index of the first 0 digit from the right in the binary representation of i,
and Un is the generator output nomalized to the unit hypercube (0,1)^s.