#include "blaswrap.h" /* slaran.f -- translated by f2c (version 20061008). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib; on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #include "f2c.h" doublereal slaran_(integer *iseed) { /* System generated locals */ real ret_val; /* Local variables */ static integer it1, it2, it3, it4; static real rndout; /* -- LAPACK auxiliary routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= SLARAN returns a random real number from a uniform (0,1) distribution. Arguments ========= ISEED (input/output) INTEGER array, dimension (4) On entry, the seed of the random number generator; the array elements must be between 0 and 4095, and ISEED(4) must be odd. On exit, the seed is updated. Further Details =============== This routine uses a multiplicative congruential method with modulus 2**48 and multiplier 33952834046453 (see G.S.Fishman, 'Multiplicative congruential random number generators with modulus 2**b: an exhaustive analysis for b = 32 and a partial analysis for b = 48', Math. Comp. 189, pp 331-344, 1990). 48-bit integers are stored in 4 integer array elements with 12 bits per element. Hence the routine is portable across machines with integers of 32 bits or more. ===================================================================== Parameter adjustments */ --iseed; /* Function Body */ L10: /* multiply the seed by the multiplier modulo 2**48 */ it4 = iseed[4] * 2549; it3 = it4 / 4096; it4 -= it3 << 12; it3 = it3 + iseed[3] * 2549 + iseed[4] * 2508; it2 = it3 / 4096; it3 -= it2 << 12; it2 = it2 + iseed[2] * 2549 + iseed[3] * 2508 + iseed[4] * 322; it1 = it2 / 4096; it2 -= it1 << 12; it1 = it1 + iseed[1] * 2549 + iseed[2] * 2508 + iseed[3] * 322 + iseed[4] * 494; it1 %= 4096; /* return updated seed */ iseed[1] = it1; iseed[2] = it2; iseed[3] = it3; iseed[4] = it4; /* convert 48-bit integer to a real number in the interval (0,1) */ rndout = ((real) it1 + ((real) it2 + ((real) it3 + (real) it4 * 2.44140625e-4f) * 2.44140625e-4f) * 2.44140625e-4f) * 2.44140625e-4f; if (rndout == 1.f) { /* If a real number has n bits of precision, and the first n bits of the 48-bit integer above happen to be all 1 (which will occur about once every 2**n calls), then SLARAN will be rounded to exactly 1.0. In IEEE single precision arithmetic, this will happen relatively often since n = 24. Since SLARAN is not supposed to return exactly 0.0 or 1.0 (and some callers of SLARAN, such as CLARND, depend on that), the statistically correct thing to do in this situation is simply to iterate again. N.B. the case SLARAN = 0.0 should not be possible. */ goto L10; } ret_val = rndout; return ret_val; /* End of SLARAN */ } /* slaran_ */