/* drand.c * * Pseudorandom number generator * * * * SYNOPSIS: * * double y, drand(); * * drand( &y ); * * * * DESCRIPTION: * * Yields a random number 1.0 <= y < 2.0. * * The three-generator congruential algorithm by Brian * Wichmann and David Hill (BYTE magazine, March, 1987, * pp 127-8) is used. The period, given by them, is * 6953607871644. * * Versions invoked by the different arithmetic compile * time options DEC, IBMPC, and MIEEE, produce * approximately the same sequences, differing only in the * least significant bits of the numbers. The UNK option * implements the algorithm as recommended in the BYTE * article. It may be used on all computers. However, * the low order bits of a double precision number may * not be adequately random, and may vary due to arithmetic * implementation details on different computers. * * The other compile options generate an additional random * integer that overwrites the low order bits of the double * precision number. This reduces the period by a factor of * two but tends to overcome the problems mentioned. * */ /* Three-generator random number algorithm * of Brian Wichmann and David Hill * BYTE magazine, March, 1987 pp 127-8 * * The period, given by them, is (p-1)(q-1)(r-1)/4 = 6.95e12. */ #include "mconf.h" #ifdef ANSIPROT static int ranwh ( void ); #else static int ranwh(); #endif static int sx = 1; static int sy = 10000; static int sz = 3000; static union { double d; unsigned short s[4]; } unkans; /* This function implements the three * congruential generators. */ static int ranwh() { int r, s; /* sx = sx * 171 mod 30269 */ r = sx/177; s = sx - 177 * r; sx = 171 * s - 2 * r; if( sx < 0 ) sx += 30269; /* sy = sy * 172 mod 30307 */ r = sy/176; s = sy - 176 * r; sy = 172 * s - 35 * r; if( sy < 0 ) sy += 30307; /* sz = 170 * sz mod 30323 */ r = sz/178; s = sz - 178 * r; sz = 170 * s - 63 * r; if( sz < 0 ) sz += 30323; /* The results are in static sx, sy, sz. */ return 0; } /* drand.c * * Random double precision floating point number between 1 and 2. * * C callable: * drand( &x ); */ int drand( a ) double *a; { unsigned short r; #ifdef DEC unsigned short s, t; #endif /* This algorithm of Wichmann and Hill computes a floating point * result: */ ranwh(); unkans.d = sx/30269.0 + sy/30307.0 + sz/30323.0; r = unkans.d; unkans.d -= r; unkans.d += 1.0; /* if UNK option, do nothing further. * Otherwise, make a random 16 bit integer * to overwrite the least significant word * of unkans. */ #ifdef UNK /* do nothing */ #else ranwh(); r = sx * sy + sz; #endif #ifdef DEC /* To make the numbers as similar as possible * in all arithmetics, the random integer has * to be inserted 3 bits higher up in a DEC number. * An alternative would be put it 3 bits lower down * in all the other number types. */ s = unkans.s[2]; t = s & 07; /* save these bits to put in at the bottom */ s &= 0177770; s |= (r >> 13) & 07; unkans.s[2] = s; t |= r << 3; unkans.s[3] = t; #endif #ifdef IBMPC unkans.s[0] = r; #endif #ifdef MIEEE unkans.s[3] = r; #endif *a = unkans.d; return 0; }