SAMPLE_2D is a dataset directory which collects sets of points that sample the unit square.
There are a number of datasets, each containing about 100 points in 2D, in the unit square [0,1]x[0,1]. Some of the datasets are "pseudo-random", or "Monte Carlo" samplings, which attempt to minic the behavior of a uniformly random distribution. Other datasets, particularly Faure, Halton, Hammersley and Sobol, represent low discrepancy "quasi-random" sequences. Other samplings are generated by iterations or trial and error backtracking procedures.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
CIRCLE_TEST, a FORTRAN90 program which performs a circle-spacing test on sets of points;
INTEGRAL_TEST, a FORTRAN90 program which tests the suitability of a set of N points for use in an equal-weight quadrature rule over the M-dimensional unit hypercube.
SET_01 is a set of CVT points from MDG:
SET_02 is a set of CVT points from MDG:
SET_03 is a set of CVT points from MDG:
SET_04 is a set of CVT points from MDG:
SET_05 is a set of CVT points from MDG:
SET_06 is a set of CVT points from MDG:
SET_07 is a set of CVT points from MDG:
SET_08 is a set of CVT points from MDG:
SET_09 is a set of 100 Hammersley points, JVB code:
SET_10 is a set of 100 Faure points, ACM TOMS 647 code:
SET_11 is a set of 100 Halton points, ACM TOMS 647 code:
SET_12 is a set of 100 Sobol points, ACM TOMS 647 code:
SET_13 is a set of 100 Monte Carlo points, ACM TOMS 647 code:
SET_14 is a set of 100 Niederreiter points, ACM TOMS 738 code:
SET_15 is a set of 100 Monte Carlo points, set 1, MDG code.
SET_16 is a set of 100 Monte Carlo points, set 2, MDG code:
SET_17 is a set of 100 Monte Carlo points, set 3, MDG code:
SET_18 is a set of 100 Halton points, MDG code:
SET_19 is a set of 100 Hammersley points, MDG code:
SET_20 is a set of 100 Latin hypercube points, set 1, MDG code:
SET_21 is a set of 100 Latin hypercube points, set 2, MDG code.
SET_22 is a set of 100 Latin hypercube points, set 3, MDG code:
SET_23 is a set of 100 Hanson points, set 1, MDG code.
SET_24 is a set of 100 Hanson points, set 2, MDG code:
SET_25 is a set of 100 Halton points, JVB code.
SET_26 is a set of 100 Sobol points, Numerical Recipes code.
SET_27 is a set of 100 Improved Hypercube Sampling points, "COV=0.127910", set #1, Beachkofski MATLAB code.
SET_28 is a set of 100 Improved Hypercube Sampling points, "COV=0.159586", set #2, Beachkofski MATLAB code.
SET_29 is a set of 100 Improved Hypercube Sampling points, "COV=0.206873", set #3, Beachkofski MATLAB code.
SET_30 is a set of 100 points on a 10 by 10 evenly-spaced product grid.
SET_31 is a set of 100 points on a 10 by 10 offset evenly-spaced product grid.
SET_32 is a set of 99 points on a 9 by 11 hexagonal grid, with points on the boundary.
SET_33 is a set of 99 points on a 9 by 11 hexagonal grid, with all the points in the interior of the region.
SET_34 is a set of 100 Monte Carlo points, under a nonuniform distribution, set 1, MDG code.
SET_35 is a set of 100 Monte Carlo points, under a nonuniform distribution, set 2, MDG code.
SET_36 is a set of 100 Monte Carlo points, under a nonuniform distribution, set 3, MDG code.
You can go up one level to the DATASETS directory.