This class permits one to read the parameters that define a digital net in base 2 either from a file, or from a URL address. More...
Public Member Functions | |
| DigitalNetBase2FromFile (String filename, int r1, int w, int s1) throws IOException, MalformedURLException | |
| Constructs a digital net in base 2 after reading its parameters from file filename. | |
| DigitalNetBase2FromFile (String filename, int s1) throws IOException, MalformedURLException | |
Same as DigitalNetBase2FromFile(filename,
r, 31, s1) where s1 is the dimension and r is given in data file filename. | |
| String | toString () |
| Formats a string that contains information on this digital net. | |
| String | toStringDetailed () |
| Writes the parameters and the generating matrices of this digital net to a string. | |
| Public Member Functions inherited from umontreal.ssj.hups.DigitalNetBase2 | |
| double | getCoordinate (int i, int j) |
| Returns \(u_{i',j}\), the coordinate \(j\) of point \(i'\), where \(i'\) is the Gray code for \(i\). | |
| double | getCoordinateNoGray (int i, int j) |
| Returns \(u_{i,j}\), the coordinate \(j\) of point \(i\), the points being enumerated in the standard order (no Gray code). | |
| PointSetIterator | iterator () |
| Returns a DigitalNetBase2Iterator which enumerates the points using a Gray code. | |
| PointSetIterator | iteratorNoGray () |
| This iterator does not use the Gray code. | |
| void | addRandomShift (int d1, int d2, RandomStream stream) |
| Generates a random digital shift for coordinates \(j\) from d1 to d2-1, using stream to generate the random numbers. | |
| void | addRandomShift (RandomStream stream) |
Same as addRandomShift(0, dim, stream), where dim is the dimension of the digital net. | |
| void | clearRandomShift () |
| Erases the current digital random shift, if any. | |
| void | leftMatrixScramble (int r, RandomStream stream) |
| This is a version of LMS in which each column of the lower-triangular scrambling matrix is represented as an integer less than 2^w, just like for Cj. | |
| void | leftMatrixScramble (RandomStream stream) |
| By default, the matrices L_j have r = w rows. | |
| void | iBinomialMatrixScramble (RandomStream stream) |
| Similar to leftMatrixScramble, except that all entries on any given diagonal or subdiagonal of any given \(\mathbf{M}_j\) are identical. | |
| void | stripedMatrixScramble (RandomStream stream) |
| Applies the striped matrix scramble proposed by Owen. | |
| void | rightMatrixScramble (RandomStream stream) |
| Applies a linear scramble by multiplying each \(\mathbf{C}_j\) on the right by a single \(k\times k\) nonsingular upper-triangular matrix \(\mathbf{M}\), as suggested by Faure and Tezuka. | |
| void | nestedUniformScramble (RandomStream stream, double[][] output) |
| Same as nestedUniformScramble(stream, output, 0) . | |
| void | nestedUniformScramble (RandomStream stream, double[][] output, int numBits) |
| Applies Owen's nested uniform scrambling to the digital net and returns the scrambled points in the two-dimensional array output. | |
| void | nestedUniformScramble (RandomStream stream, int[][] output, int numBits) |
| Same as nestedUniformScramble(RandomStream,double[][],int), but it returns the points as integers from 0 to 2^outDigits - 1, instead of doubles. | |
| void | leftMatrixScrambleDiag (RandomStream stream) |
| Similar to leftMatrixScramble except that all the off-diagonal elements of the \(\mathbf{M}_j\) are 0. | |
| void | leftMatrixScrambleFaurePermut (RandomStream stream, int sb) |
| Similar to leftMatrixScramble except that the diagonal elements of each matrix \(\mathbf{M}_j\) are chosen from a restricted set of the best integers as calculated by Faure [58] . | |
| void | leftMatrixScrambleFaurePermutDiag (RandomStream stream, int sb) |
| Similar to leftMatrixScrambleFaurePermut except that all off-diagonal elements are 0. | |
| void | leftMatrixScrambleFaurePermutAll (RandomStream stream, int sb) |
| Similar to leftMatrixScrambleFaurePermut except that the elements under the diagonal are also chosen from the same restricted set as the diagonal elements. | |
| void | iBinomialMatrixScrambleFaurePermut (RandomStream stream, int sb) |
| Similar to iBinomialMatrixScramble except that the diagonal elements of each matrix \(\mathbf{M}_j\) are chosen as in leftMatrixScrambleFaurePermut. | |
| void | iBinomialMatrixScrambleFaurePermutDiag (RandomStream stream, int sb) |
| Similar to iBinomialMatrixScrambleFaurePermut except that all the off-diagonal elements are 0. | |
| void | iBinomialMatrixScrambleFaurePermutAll (RandomStream stream, int sb) |
| Similar to iBinomialMatrixScrambleFaurePermut except that the elements under the diagonal are also chosen from the same restricted set as the diagonal elements. | |
| void | stripedMatrixScrambleFaurePermutAll (RandomStream stream, int sb) |
| Similar to stripedMatrixScramble except that the elements on and under the diagonal of each matrix \(\mathbf{M}_j\) are chosen as in leftMatrixScrambleFaurePermut. | |
| void | unrandomize () |
| Restores the original generator matrices and removes the random shift. | |
| void | resetGenMatrices () |
| Restores genMat to the original generator matrices. | |
| void | eraseOriginalGenMatrices () |
| Erases the original generator matrices and replaces them by the current ones. | |
| int[][][] | genMatricesToBitByBitFormat () |
| Returns the generator matrices as a 3-dimensional array of shape dim x numRows x numCols integers, one integer for each bit. | |
| void | genMatricesFromBitByBitFormat (int[][][] matrices) |
| Reverse of the previous function. | |
| void | printGeneratorMatrices (int s) |
| Prints the generating matrices bit by bit for dimensions 1 to \(s\). | |
| void | printGenMatrices (int s) |
| Prints the generating matrices in the standard format, one integer per column, for dimensions 1 to \(s\). | |
| void | printOriginalMatrices (int s) |
| Prints the generating matrices in the standard format, one integer per column, for dimensions 1 to \(s\). | |
| int[] | getGenMatrices () |
| Returns a copy of the generator matrices for dimensions 1 to \(s\). | |
| void | outputInterlace (int[][] points, double[][] interlacedPoints) |
| Interlaces the points from a digital net. | |
| DigitalNetBase2 | matrixInterlace () |
| Interlaces the matrices from a digital net. | |
| Public Member Functions inherited from umontreal.ssj.hups.DigitalNet | |
| DigitalNet () | |
| Empty constructor. | |
| int | getInterlacing () |
| Returns the interlacing factor. | |
| void | setInterlacing (int interlacing) |
| Sets the interlacing factor. | |
| void | resetGeneratorMatrices () |
| Restores the original generator matrices. | |
| void | eraseOriginalGeneratorMatrices () |
| Erases the original generator matrices and replaces them by the current ones. | |
| Public Member Functions inherited from umontreal.ssj.hups.PointSet | |
| int | getDimension () |
| Returns the dimension (number of available coordinates) of the points. | |
| int | getNumPoints () |
| Returns the number of points. | |
| void | randomize (PointSetRandomization rand) |
| Randomizes this point set using the given rand. | |
| void | addRandomShift (int d1, int d2) |
| Refreshes the random shift (generates new uniform values for the random shift coordinates) for coordinates d1 to d2-1, using the saved shiftStream. | |
| void | addRandomShift () |
Same as addRandomShift(0, dim), where dim is the dimension of the point set. | |
| String | formatPoints () |
Same as invoking formatPoints(n, d) with \(n\) and \(d\) equal to the number of points and the dimension of this object, respectively. | |
| String | formatPoints (int n, int d) |
| Formats a string that displays the same information as returned by toString, together with the first \(d\) coordinates of the first. | |
| String | formatPoints (PointSetIterator iter) |
Same as invoking formatPoints(iter, n, d) with \(n\) and \(d\) equal to the number of points and the dimension, respectively. | |
| String | formatPoints (PointSetIterator iter, int n, int d) |
Same as invoking formatPoints(n, d), but prints the points by calling iter repeatedly. | |
| String | formatPointsBase (int b) |
Similar to formatPoints(), but the points coordinates are printed in base \(b\). | |
| String | formatPointsBase (int n, int d, int b) |
Similar to formatPoints(n, d), but the points coordinates are printed in base \(b\). | |
| String | formatPointsBase (PointSetIterator iter, int b) |
Similar to formatPoints(iter), but the points coordinates are printed in base. | |
| String | formatPointsBase (PointSetIterator iter, int n, int d, int b) |
Similar to formatPoints(iter,
n, d), but the points coordinates are printed in base \(b\). | |
| String | formatPointsNumbered () |
Same as invoking formatPointsNumbered(n, d) with \(n\) and \(d\) equal to the number of points and the dimension, respectively. | |
| String | formatPointsNumbered (int n, int d) |
Same as invoking formatPoints(n,d), except that the points are numbered. | |
Static Public Member Functions | |
| static String | listDir (String dirname) throws IOException |
| Lists all files (or directories) in directory dirname. | |
| Static Public Member Functions inherited from umontreal.ssj.hups.PointSet | |
| static int | getMaxBits () |
| Returns the maximum number of usable bits. | |
Additional Inherited Members | |
| Protected Attributes inherited from umontreal.ssj.hups.PointSet | |
| double | EpsilonHalf = 1.0 / Num.TWOEXP[55] |
| To avoid 0 for nextCoordinate when random shifting, we add this to each coordinate. | |
| int | dim = 0 |
| Dimension of the points. | |
| int | numPoints = 0 |
| Number of points. | |
| int | dimShift = 0 |
| Current dimension of the shift. | |
| int | capacityShift = 0 |
| Number of array elements in the shift vector, always >= dimShift. | |
| double[] | shift |
| This is the shift vector as a double[] array, which contains the current random shift in case we apply a random shift modulo 1. | |
| RandomStream | shiftStream |
| Stream used to generate the random shifts. | |
| Static Protected Attributes inherited from umontreal.ssj.hups.PointSet | |
| static final int | MAXBITS = 31 |
| Since Java has no unsigned type, the 32nd bit cannot be used efficiently, so we have only 31 bits. | |
This class permits one to read the parameters that define a digital net in base 2 either from a file, or from a URL address.
See the documentation of umontreal.ssj.hups.DigitalNetFromFile. The parameters used in building the net are those defined in the class
umontreal.ssj.hups.DigitalNetBase2. The format of the data files must be as follows, where \(B\) represents any generating matrix \(C_j\) (see the format in umontreal.ssj.hups):
| // Any number of comment lines starting with // | |
| \(2\) | // Base |
| \(k\) | // Number of columns |
| \(r\) | // Number of rows |
| \(n\) | // Number of points = \(2^k\) |
| \(s\) | // Dimension of points |
| // dim = 1 | |
| \(a_1\) | // \(= 2^{30}B_{11} + 2^{29}B_{21} + \cdots+ 2^{31 - r}B_{r1}\) |
| \(a_2\) | // \(= 2^{30}B_{12} + 2^{29}B_{22} + \cdots+ 2^{31 - r}B_{r2}\) |
| \(\vdots\) | |
| \(a_k\) | |
| // dim = 2 | |
| \(\vdots\) | |
| // dim = \(s\) | |
| \(a_1\) | |
| \(a_2\) | |
| \(\vdots\) | |
| \(a_k\) | |
For each dimension @f$j@f$, there must be a @f$k@f$-dimensional vector of 32-bit integers (the @f$a_i@f$) corresponding to the columns of
\(\mathbf{C}_j\). The correspondence is such that the integer \(a_i = 2^{30}(\mathbf{C}_j)_{1i} + 2^{29}(\mathbf{C}_j)_{2i} + \cdots+ 2^{31 - r}(\mathbf{C}_j)_{ri}\).
Definition at line 110 of file DigitalNetBase2FromFile.java.
| umontreal.ssj.hups.DigitalNetBase2FromFile.DigitalNetBase2FromFile | ( | String | filename, |
| int | r1, | ||
| int | w, | ||
| int | s1 ) throws IOException, MalformedURLException |
Constructs a digital net in base 2 after reading its parameters from file filename.
See the documentation in
umontreal.ssj.hups.DigitalNetFromFile. Parameter w gives the number of bits of resolution, r1 is the number of rows, and s1 is the dimension. Restrictions: s1 must be less than the maximal dimension, and r1 less than the maximal number of rows in the data file. Also w \(\ge\) r1.
| filename | Name of the file to be read |
| r1 | Number of rows for the generating matrices |
| w | Number of bits of resolution |
| s1 | Number of dimensions |
Definition at line 190 of file DigitalNetBase2FromFile.java.
| umontreal.ssj.hups.DigitalNetBase2FromFile.DigitalNetBase2FromFile | ( | String | filename, |
| int | s1 ) throws IOException, MalformedURLException |
Same as DigitalNetBase2FromFile(filename,
r, 31, s1) where s1 is the dimension and r is given in data file filename.
| filename | Name of the file to be read |
| s1 | Number of dimensions |
Definition at line 236 of file DigitalNetBase2FromFile.java.
|
static |
Lists all files (or directories) in directory dirname.
Only relative pathnames should be used. The files are parameter files used in defining digital nets. For example, calling listDir("") will give the list of the main data directory in SSJ, while calling listDir("Edel/OOA2") will give the list of all files in directory Edel/OOA2.
Definition at line 270 of file DigitalNetBase2FromFile.java.
| String umontreal.ssj.hups.DigitalNetBase2FromFile.toString | ( | ) |
Formats a string that contains information on this digital net.
Reimplemented from umontreal.ssj.hups.DigitalNetBase2.
Definition at line 240 of file DigitalNetBase2FromFile.java.
| String umontreal.ssj.hups.DigitalNetBase2FromFile.toStringDetailed | ( | ) |
Writes the parameters and the generating matrices of this digital net to a string.
This is useful to check that the file parameters have been read correctly.
Definition at line 251 of file DigitalNetBase2FromFile.java.