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DRAND48(P)                                                          DRAND48(P)



NAME
       drand48,  erand48,  jrand48,  lcong48, lrand48, mrand48, nrand48, seed48, srand48 -
       generate uniformly distributed pseudo-random numbers

SYNOPSIS
       #include <stdlib.h>

       double drand48(void);
       double erand48(unsigned short xsubi[3]);
       long jrand48(unsigned short xsubi[3]);
       void lcong48(unsigned short param[7]);
       long lrand48(void);
       long mrand48(void);
       long nrand48(unsigned short xsubi[3]);
       unsigned short *seed48(unsigned short seed16v[3]);
       void srand48(long seedval);


DESCRIPTION
       This family of functions shall generate pseudo-random numbers using a  linear  con-
       gruential algorithm and 48-bit integer arithmetic.

       The  drand48() and erand48() functions shall return non-negative, double-precision,
       floating-point values, uniformly distributed over the interval [0.0,1.0).

       The lrand48() and nrand48() functions shall  return  non-negative,  long  integers,
       uniformly distributed over the interval [0,2**31).

       The  mrand48()  and jrand48() functions shall return signed long integers uniformly
       distributed over the interval [-2**31,2**31).

       The srand48(), seed48(), and lcong48() functions are initialization  entry  points,
       one  of which should be invoked before either drand48(), lrand48(), or mrand48() is
       called. (Although it is not recommended practice, constant default initializer val-
       ues shall be supplied automatically if drand48(), lrand48(), or mrand48() is called
       without a prior call to an initialization entry point.) The  erand48(),  nrand48(),
       and  jrand48()  functions do not require an initialization entry point to be called
       first.

       All the routines work by generating a sequence of  48-bit  integer  values,  X_i  ,
       according to the linear congruential formula: X_n+1 = (aX_n + c)_mod m   n>= 0

       The  parameter  m  =  2**48;  hence  48-bit integer arithmetic is performed. Unless
       lcong48() is invoked, the multiplier value a and the addend value c are given by: a
       = 5DEECE66D_16 = 273673163155_8

       c = B_16 = 13_8

       The  value  returned  by  any  of  the  drand48(), erand48(), jrand48(), lrand48(),
       mrand48(), or nrand48() functions is computed by first generating the  next  48-bit
       X_i  in the sequence. Then the appropriate number of bits, according to the type of
       data item to be returned, are copied from the high-order (leftmost) bits of X_i and
       transformed into the returned value.

       The  drand48(), lrand48(), and mrand48() functions store the last 48-bit X_i gener-
       ated in an internal buffer; that is why the application shall ensure that these are
       initialized  prior  to being invoked. The erand48(), nrand48(), and jrand48() func-
       tions require the calling program to provide storage for the successive X_i  values
       in  the array specified as an argument when the functions are invoked.  That is why
       these routines do not have to be initialized; the calling  program  merely  has  to
       place  the  desired initial value of X_i into the array and pass it as an argument.
       By using different arguments, erand48(), nrand48(), and  jrand48()  allow  separate
       modules of a large program to generate several independent streams of pseudo-random
       numbers; that is, the sequence of numbers in each stream shall not depend upon  how
       many times the routines are called to generate numbers for the other streams.

       The  initializer  function srand48() sets the high-order 32 bits of X_i to the low-
       order 32 bits contained in its argument. The low-order 16 bits of X_i  are  set  to
       the arbitrary value 330E_16.

       The  initializer function seed48() sets the value of X_i to the 48-bit value speci-
       fied in the argument array. The low-order 16 bits of X_i are set to  the  low-order
       16  bits  of  seed16v[0].  The mid-order 16 bits of X_i are set to the low-order 16
       bits of seed16v[1]. The high-order 16 bits of X_i are set to the low-order 16  bits
       of  seed16v[2].  In  addition,  the  previous  value of X_i is copied into a 48-bit
       internal buffer, used only by seed48(), and a pointer to this buffer is  the  value
       returned  by  seed48().  This  returned  pointer,  which can just be ignored if not
       needed, is useful if a program is to be restarted from a given point at some future
       time-use  the  pointer  to  get  at and store the last X_i value, and then use this
       value to reinitialize via seed48() when the program is restarted.

       The initializer function lcong48() allows the user to specify the initial X_i , the
       multiplier  value  a,  and  the addend value c.  Argument array elements param[0-2]
       specify X_i , param[3-5] specify the  multiplier  a,  and  param[6]  specifies  the
       16-bit  addend  c. After lcong48() is called, a subsequent call to either srand48()
       or seed48() shall restore the standard multiplier and addend values, a and c, spec-
       ified above.

       The drand48(), lrand48(), and mrand48() functions need not be reentrant. A function
       that is not required to be reentrant is not required to be thread-safe.

RETURN VALUE
       As described in the DESCRIPTION above.

ERRORS
       No errors are defined.

       The following sections are informative.

EXAMPLES
       None.

APPLICATION USAGE
       None.

RATIONALE
       None.

FUTURE DIRECTIONS
       None.

SEE ALSO
       rand() , the Base Definitions volume of IEEE Std 1003.1-2001, <stdlib.h>

COPYRIGHT
       Portions of this text are reprinted and reproduced in electronic form from IEEE Std
       1003.1,  2003  Edition,  Standard  for Information Technology -- Portable Operating
       System Interface (POSIX), The Open Group Base Specifications Issue 6, Copyright (C)
       2001-2003  by  the  Institute  of Electrical and Electronics Engineers, Inc and The
       Open Group. In the event of any discrepancy between this version and  the  original
       IEEE  and The Open Group Standard, the original IEEE and The Open Group Standard is
       the  referee  document.  The  original  Standard  can   be   obtained   online   at
       http://www.opengroup.org/unix/online.html .



POSIX                                2003                           DRAND48(P)

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