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DRAND48(3P)                                         POSIX Programmer's Manual                                        DRAND48(3P)



PROLOG
       This  manual  page is part of the POSIX Programmer's Manual.  The Linux implementation of this interface may differ (con-
       sult the corresponding Linux manual page for details of Linux behavior), or the  interface  may  not  be  implemented  on
       Linux.

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 congruential algorithm  and  48-bit  integer
       arithmetic.

       The  drand48() and erand48() functions shall return non-negative, double-precision, floating-point values, uniformly dis-
       tributed 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 initial-
       izer values 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  for-
       mula: 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  com-
       puted 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 generated in an internal buffer; that is why
       the application shall ensure that these are initialized prior to being invoked. The erand48(), nrand48(),  and  jrand48()
       functions require the calling program to provide storage for the successive X_i values in the array specified as an argu-
       ment 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 argu-
       ments, 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 specified 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, specified 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,  Copy-
       right (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.open-
       group.org/unix/online.html .



IEEE/The Open Group                                           2003                                                   DRAND48(3P)

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