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NAME
     addrans - additive pseudo-random number generators

SYNOPSIS
     cc [ flag ... ] file ...  -lsunmath -lm [ library ... ]

     #include <sunmath.h>

     #define ADDRAN_SIZE 55

     int i_addran_(void);

     float r_addran_(void);

     double d_addran_(void);

     void i_addrans_(int *x, int *n, int *l, int *u);

     void u_addrans_(unsigned *x, int *n, unsigned  *l,  unsigned
     *u);

     void r_addrans_(float *x, int *n, float *l, float *u);

     void d_addrans_(double *x, int *n, double *l, double *u);

     void i_get_addrans_(int *x);

     void r_get_addrans_(float *x);

     void d_get_addrans_(double *x);

     void i_set_addrans_(int *x);

     void r_set_addrans_(float *x);

     void d_set_addrans_(double *x);

     void i_init_addrans_(void);

     void r_init_addrans_(void);

     void d_init_addrans_(void);

DESCRIPTION
     These functions provide uniform random  variates,  of  types
     integer  or  unsigned,  single-precision  floating-point, or
     double-precision floating-point.

     Additive  variates  are  generated  one   at   a   time   by
     ..._addran_() using the recurrence

          addran_last = addran_table[i] - addran_table[(i-24) % ADDRAN_SIZE] ;
          addran_table[i] = addran_last;
          i = (i+1) % ADDRAN_SIZE ;
          return addran_last;

     addran_table is a table containing ADDRAN_SIZE  elements  of
     type  unsigned,  float,  or  double.   The variates are con-
     strained to the following intervals  (see  table  below)  by
     adding, when necessary, 4294967296 for integer and unsigned,
     and 1.0 for float and double.

type    |  lower bound              |  upper bound
        |  name                value|  name                          value
________|___________________________|_____________________________________
unsigned|  U_ADDRAN_LB             0|  U_ADDRAN_UB              4294967295
integer |  I_ADDRAN_LB   -2147483648|  I_ADDRAN_UB              2147483647
float   |  R_ADDRAN_LB             0|  R_ADDRAN_UB   0.9999999403953552246
double  |  D_ADDRAN_LB             0|  D_ADDRAN_UB   0.9999999999999998890

     Thus any representable 32-bit  integer  or  unsigned  is  an
     equally  likely  result  from  i_addran_();  furthermore  it
     hardly matters that "additive" methods  are  implemented  by
     subtraction for efficiency.

     Additive  variates  are  generated   *n   at   a   time   by
     ..._addrans_() using the recurrence

             addran_last = addran_table_[i] - addran_table_[(i-24) % ADDRAN_SIZE] ;
             addran_table[i] = addran_last;
             i = (i+1) % ADDRAN_SIZE ;
             return scale * (addran_last + offset)

     where scale and offset are calculated from *l and *u so that
     the  computed variates are uniform in [*l,*u].  u_addrans_()
     is available so that large unsigned bounds can be specified.
     u_addrans_() uses the same addran_table as i_addrans_().

     The  state  of  the  additive   generator,   an   array   of
     ADDRAN_SIZE,  may be obtained with ...get_addrans_() and set
     with ...set_addrans_(), or restored  to  the  initial  state
     with ...init_addrans_().

EXAMPLES
  to generate 1000 double-precision random variates in [0,1)
          double x[1000] ; int i, n = 1000 ; double lb = D_ADDRAN_LB, ub = D_ADDRAN_UB ;

          for (i=0;i<n;i++) x[i] = d_addran_(); /* or... */
          d_addrans_(x, &n, &lb, &ub) ;       /* same output, but more efficient */

  to generate 1000 integer random variates in [-10,+10]
          int x[1000] ; int n = 1000, lb = -10, ub = 10 ;

          i_addrans_(x, &n, &lb, &ub) ;

SEE ALSO
     drand48(3),  lcrans(3M),  mwcrans(3M),  rand(3C),  rand(3V),
     random(3), shufrans(3M).

     Knuth, Seminumerical Algorithms, 1981, Addison-Wesley.

     Park and Miller, Random Number  Generators:  Good  Ones  are
     Hard to Find, Communications of the ACM, October 1988.

NOTES
     The number of times your program calls a random number  gen-
     erator  function  determines when it is more efficient (fas-
     ter) to use lcrans(3M) versus addrans(3M).  For  normal  use
     (more  than 50 calls), use addrans(3M), possibly in conjunc-
     tion with shufrans(3M), rather  than  calls  to  lcrans(3M),
     drand48(3),  rand(3C),  rand(3V)  and random(3).  For casual
     use  (less  than  50  calls),  use  lcrans(3M)  rather  than
     addrans(3M).   The reason for this is that the first call to
     addrans(3M) has the overhead cost of initializing a table of
     55 elements (defined by ADDRAN_SIZE).

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