X-Git-Url: https://git.saurik.com/apple/libc.git/blobdiff_plain/5b2abdfbf4211b6592cdd02b9507555a0ecbb04b..0a7506c9bdc0d0d560d4b9c8a3d1089f5db425b9:/gen/rand48.3 diff --git a/gen/rand48.3 b/gen/rand48.3 index 08aafec..223b2a9 100644 --- a/gen/rand48.3 +++ b/gen/rand48.3 @@ -10,7 +10,7 @@ .\" to anyone/anything when using this software. .\" .\" @(#)rand48.3 V1.0 MB 8 Oct 1993 -.\" $FreeBSD: src/lib/libc/gen/rand48.3,v 1.13 2001/10/01 16:08:51 ru Exp $ +.\" $FreeBSD: src/lib/libc/gen/rand48.3,v 1.16 2004/07/02 23:52:10 ru Exp $ .\" .Dd October 8, 1993 .Dt RAND48 3 @@ -18,81 +18,109 @@ .Sh NAME .Nm drand48 , .Nm erand48 , +.Nm jrand48 , +.Nm lcong48 , .Nm lrand48 , -.Nm nrand48 , .Nm mrand48 , -.Nm jrand48 , -.Nm srand48 , +.Nm nrand48 , .Nm seed48 , -.Nm lcong48 +.Nm srand48 .Nd pseudo random number generators and initialization routines .Sh LIBRARY .Lb libc .Sh SYNOPSIS .In stdlib.h .Ft double -.Fn drand48 void +.Fo drand48 +.Fa void +.Fc .Ft double -.Fn erand48 "unsigned short xseed[3]" +.Fo erand48 +.Fa "unsigned short xsubi[3]" +.Fc .Ft long -.Fn lrand48 void +.Fo jrand48 +.Fa "unsigned short xsubi[3]" +.Fc +.Ft void +.Fo lcong48 +.Fa "unsigned short param[7]" +.Fc .Ft long -.Fn nrand48 "unsigned short xseed[3]" +.Fo lrand48 +.Fa void +.Fc .Ft long -.Fn mrand48 void +.Fo mrand48 +.Fa void +.Fc .Ft long -.Fn jrand48 "unsigned short xseed[3]" -.Ft void -.Fn srand48 "long seed" +.Fo nrand48 +.Fa "unsigned short xsubi[3]" +.Fc .Ft "unsigned short *" -.Fn seed48 "unsigned short xseed[3]" +.Fo seed48 +.Fa "unsigned short seed16v[3]" +.Fc .Ft void -.Fn lcong48 "unsigned short p[7]" +.Fo srand48 +.Fa "long seedval" +.Fc .Sh DESCRIPTION The .Fn rand48 -family of functions generates pseudo-random numbers using a linear +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 = 0xfdeece66d = 25214903917 and -the addend c = 0xb = 11. +r(n+1) = (a * r(n) + c) mod m. +The default value for the multiplicand `a' is 0xfdeece66d (25214903917). +The default value for the the addend `c' is 0xb (11). The modulo is always fixed at m = 2 ** 48. r(n) is called the seed of the random number generator. .Pp -For all the six generator routines described next, the first +For the six generator routines described next, the first computational step is to perform a single iteration of the algorithm. .Pp +The .Fn drand48 and .Fn erand48 +functions 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). .Pp +The .Fn lrand48 and .Fn nrand48 +functions return values of type long in the range -[0, 2**31-1]. The high-order (31) bits of +[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. .Pp +The .Fn mrand48 and .Fn jrand48 +functions return values of type long in the range -[-2**31, 2**31-1]. The high-order (32) bits of +[-2**31, 2**31-1]. +The high-order (32) bits of r(n+1) are loaded into the returned value. .Pp +The .Fn drand48 , .Fn lrand48 , and .Fn mrand48 -use an internal buffer to store r(n). For these functions +functions +use an internal buffer to store r(n). +For these functions the initial value of r(0) = 0x1234abcd330e = 20017429951246. .Pp On the other hand, @@ -106,18 +134,22 @@ holds the least significant bits. .Pp All functions share the same multiplicand and addend. .Pp +The .Fn srand48 +function is used to initialize the internal buffer r(n) of .Fn drand48 , .Fn lrand48 , and -.Fn mrand48 +.Fn 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. .Pp +The .Fn seed48 +function also initializes the internal buffer r(n) of .Fn drand48 , .Fn lrand48 , @@ -128,9 +160,11 @@ where the zeroth member specifies the lowest bits. Again, the constant multiplicand and addend of the algorithm are reset to the default values given above. +The .Fn seed48 +function returns a pointer to an array of 3 shorts which contains the old seed. -This array is statically allocated, thus its contents are lost after +This array is statically allocated; thus, its contents are lost after each new call to .Fn seed48 . .Pp @@ -149,7 +183,7 @@ and the seed used in .Fn lrand48 , and .Fn mrand48 . -An array of 7 shorts is passed as parameter; the first three shorts are +An array of 7 shorts is passed as argument; the first three shorts are used to initialize the seed; the second three are used to initialize the multiplicand; and the last short is used to initialize the addend. It is thus not possible to use values greater than 0xffff as the addend.