RANDOM_WRITE
Random Integer Data for DIEHARD

RANDOM_WRITE is a FORTRAN90 program which makes a file of pseudorandom 32 bit integers for input to the DIEHARD program.

Choices of generators include:

1. A multiply-with-carry (MWC) generator x(n) = a * x(n-1) + carry mod 2^32;
2. A multiply-with-carry (MWC) generator on pairs of 16 bits;
3. The "Mother of all random number generators";
4. The KISS generator;
5. The simple but very good generator COMBO;
6. The lagged Fibonacci-MWC combination ULTRA;
7. A combination multiply-with-carry/subtract-with-borrow (SWB) generator, period ~ 10^364;
8. An extended congruential generator;
9. The Super-Duper generator;
10. A subtract-with-borrow generator;
11. Any specified congruential generator;
12. The 31-bit generator ran2 from Numerical Recipes;
13. Any specified shift-register generator, 31 or 32 bits;
14. The system generator in Sun Fortran f77;
15. Any lagged-Fibonacci generator, x(n) = x(n-r) op x(n-s);
16. An inverse congruential generator;

Languages:

RANDOM_WRITE is available in a FORTRAN90 version

Related Data and Programs:

CVT, a FORTRAN90 library which computes elements of a Centroidal Voronoi Tessellation.

FAURE, a FORTRAN90 library which computes elements of a Faure quasirandom sequence.

GRID, a FORTRAN90 library which computes elements of a grid dataset.

HALTON, a FORTRAN90 library which computes elements of a Halton quasirandom sequence.

HAMMERSLEY, a FORTRAN90 library which computes elements of a Hammersley quasirandom sequence.

HEX_GRID, a FORTRAN90 library which computes elements of a hexagonal grid dataset.

HEX_GRID_ANGLE, a FORTRAN90 library which computes elements of an angled hexagonal grid dataset.

IEEE_UNIFORM, a FORTRAN90 library which tries to uniformly sample the discrete set of values that represent the legal IEEE real numbers;

IHS, a FORTRAN90 library which computes elements of an improved distributed Latin hypercube dataset.

LATIN_CENTER, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing center points.

LATIN_EDGE, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing edge points.

LATIN_RANDOM, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing points at random.

LCVT, a FORTRAN90 library which computes a latinized Centroidal Voronoi Tessellation.

NIEDERREITER2, a FORTRAN90 library which computes elements of a Niederreiter quasirandom sequence with base 2.

NORMAL, a FORTRAN90 library which computes elements of a sequence of pseudorandom normally distributed values.

SOBOL, a FORTRAN90 library which computes elements of a Sobol quasirandom sequence.

SUBPAK, a FORTRAN90 library which includes a routine random_initialize that can be used to try to initialize the seed for the FORTRAN90 random number generator.

UNIFORM, a FORTRAN90 library which computes elements of a pseudorandom uniform sequence.

UNIFORM_DATASET, a FORTRAN90 program which generates a dataset of uniform pseudorandom values and writes them to a file.

VAN_DER_CORPUT, a FORTRAN90 library which computes elements of a van der Corput quasirandom sequence.

Reference:

1. George Marsaglia, A. Zaman,
   Monkey Tests for Random Number Generators,
   Computers and Mathematics with Applications,
   Volume 9, Number 9, 1995, pages 1-10.
2. George Marsaglia, A. Zaman,
   Some Very-Long-Period Portable Random Number Generators,
   Computers in Physics,
   Volume 8, 1995, pages 117-121.

Source Code:

• random_write.f90, the source code.

Examples and Tests:

Generator 1 is a multiply-with-carry (MWC) generator x(n) = a * x(n-1) + carry mod 2^32;

• input01.txt, input to make an example of generator 1.
• output01.txt, the printed output. This does not include the data file "mwc1.32" that is also created.

Generator 2 is a multiply-with-carry (MWC) generator on pairs of 16 bits;

• input02.txt, input to make an example of generator 2.
• output02.txt, the printed output. This does not include the data file "1616.32" that is also created.

List of Routines:

• MAIN is the main program for RANDOM_WRITE.
• IRAN2 is a random number generator from Numerical Recipes.
• KS_TEST applies the Kolmorogov-Smirnov test.
• MAKE_1616 generates data from two 16 bit multiply-with-carry generators.
• MAKE_CMBO generates data from the COMBO generator.
• MAKE_CONG generates data from a congruential generator.
• MAKE_FIBO generates data from a lagged Fibonacci generator.
• MAKE_INVC generates data from an inverse congruential generator.
• MAKE_KISS generates data from the KISS generator.
• MAKE_LTRA generates data from the ULTRA generator.
• MAKE_MTHR generates data from the "mother of all generators" generator.
• MAKE_MWC1 generates data from a multiply-with-carry generator.
• MAKE_RAN2 generates data from a Numerical Recipes generator.
• MAKE_SBMC generates data from a subtract/borrow/multiply/carry generator.
• MAKE_SHRG generates data from a specified shift register generator.
• MAKE_SUNR generates data from the Sun f77 generator.
• MAKE_SUPR generates data from the superduper generator.
• MAKE_SWB generates data from a subtract-with-borrow generator.
• MAKE_XCNG generates data from an extended congruential generator.
• PLOT1 makes a printer plot of data.
• PROD ???
• R8_SWAP swaps two R8's.
• R8VEC_HEAP_D reorders an R8VEC into an descending heap.
• R8VEC_SORT_HEAP_A ascending sorts an R8VEC using heap sort.
• SP is called by KS_TEST.
• SUMMER computes X(1:4) + Y(1:4).

You can go up one level to the FORTRAN90 source codes.