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NetBSD 6.1.5 - man page for lcong48 (netbsd section 3)

RAND48(3)			   BSD Library Functions Manual 			RAND48(3)

NAME
     drand48, erand48, lrand48, nrand48, mrand48, jrand48, srand48, seed48, lcong48 -- pseudo-
     random number generators and initialization routines

LIBRARY
     Standard C Library (libc, -lc)

SYNOPSIS
     #include <stdlib.h>

     double
     drand48(void);

     double
     erand48(unsigned short xseed[3]);

     long
     lrand48(void);

     long
     nrand48(unsigned short xseed[3]);

     long
     mrand48(void);

     long
     jrand48(unsigned short xseed[3]);

     void
     srand48(long seed);

     unsigned short *
     seed48(unsigned short xseed[3]);

     void
     lcong48(unsigned short p[7]);

DESCRIPTION
     The rand48() family of functions generates pseudo-random numbers using a linear congruential
     algorithm working on integers 48 bits in size.  The particular formula employed is r(n+1) =
     (a * r(n) + c) mod m where the default values are for the multiplicand a = 0x5deece66d =
     25214903917 and the addend c = 0xb = 11.  The modulus is always fixed at m = 2 ** 48.  r(n)
     is called the seed of the random number generator.

     For all the six generator routines described next, the first computational step is to per-
     form a single iteration of the algorithm.

     drand48() and erand48() return values of type double.  The full 48 bits of r(n+1) are loaded
     into the mantissa of the returned value, with the exponent set such that the values produced
     lie in the interval [0.0, 1.0).

     lrand48() and nrand48() return values of type long in the range [0, 2**31-1].  The high-
     order (31) bits of r(n+1) are loaded into the lower bits of the returned value, with the
     topmost (sign) bit set to zero.

     mrand48() and jrand48() return values of type long in the range [-2**31, 2**31-1].  The
     high-order (32) bits of r(n+1) are loaded into the returned value.

     drand48(), lrand48(), and mrand48() use an internal buffer to store r(n).	For these func-
     tions the initial value of r(0) = 0x1234abcd330e = 20017429951246.

     On the other hand, erand48(), nrand48(), and jrand48() use a user-supplied buffer to store
     the seed r(n), which consists of an array of 3 shorts, where the zeroth member holds the
     least significant bits.

     All functions share the same multiplicand and addend.

     srand48() is used to initialize the internal buffer r(n) of drand48(), lrand48(), and
     mrand48() such that the 32 bits of the seed value are copied into the upper 32 bits of r(n),
     with the lower 16 bits of r(n) arbitrarily being set to 0x330e.  Additionally, the constant
     multiplicand and addend of the algorithm are reset to the default values given above.

     seed48() also initializes the internal buffer r(n) of drand48(), lrand48(), and mrand48(),
     but here all 48 bits of the seed can be specified in an array of 3 shorts, where the zeroth
     member specifies the lowest bits.	Again, the constant multiplicand and addend of the algo-
     rithm are reset to the default values given above.  seed48() returns a pointer to an array
     of 3 shorts which contains the old seed.  This array is statically allocated, thus its con-
     tents are lost after each new call to seed48().

     Finally, lcong48() allows full control over the multiplicand and addend used in drand48(),
     erand48(), lrand48(), nrand48(), mrand48(), and jrand48(), and the seed used in drand48(),
     lrand48(), and mrand48().	An array of 7 shorts is passed as parameter; the first three
     shorts are used to initialize the seed; the second three are used to initialize the multi-
     plicand; and the last short is used to initialize the addend.  It is thus not possible to
     use values greater than 0xffff as the addend.

     Note that all three methods of seeding the random number generator always also set the mul-
     tiplicand and addend for any of the six generator calls.

     For a more powerful random number generator, see random(3).

SEE ALSO
     rand(3), random(3)

AUTHORS
     Martin Birgmeier

BSD					 October 8, 1993				      BSD


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