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/* ../netlib/slaruv.f -- translated by f2c (version 20100827). 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 "FLA_f2c.h" /* > \brief \b SLARUV returns a vector of n random real numbers from a uniform distribution. */
/* =========== DOCUMENTATION =========== */
/* Online html documentation available at */
/* http://www.netlib.org/lapack/explore-html/ */
/* > \htmlonly */
/* > Download SLARUV + dependencies */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slaruv. f"> */
/* > [TGZ]</a> */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slaruv. f"> */
/* > [ZIP]</a> */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slaruv. f"> */
/* > [TXT]</a> */
/* > \endhtmlonly */
/* Definition: */
/* =========== */
/* SUBROUTINE SLARUV( ISEED, N, X ) */
/* .. Scalar Arguments .. */
/* INTEGER N */
/* .. */
/* .. Array Arguments .. */
/* INTEGER ISEED( 4 ) */
/* REAL X( N ) */
/* .. */
/* > \par Purpose: */
/* ============= */
/* > */
/* > \verbatim */
/* > */
/* > SLARUV returns a vector of n random real numbers from a uniform (0,1) */
/* > distribution (n <= 128). */
/* > */
/* > This is an auxiliary routine called by SLARNV and CLARNV. */
/* > \endverbatim */
/* Arguments: */
/* ========== */
/* > \param[in,out] ISEED */
/* > \verbatim */
/* > ISEED is 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. */
/* > \endverbatim */
/* > */
/* > \param[in] N */
/* > \verbatim */
/* > N is INTEGER */
/* > The number of random numbers to be generated. N <= 128. */
/* > \endverbatim */
/* > */
/* > \param[out] X */
/* > \verbatim */
/* > X is REAL array, dimension (N) */
/* > The generated random numbers. */
/* > \endverbatim */
/* Authors: */
/* ======== */
/* > \author Univ. of Tennessee */
/* > \author Univ. of California Berkeley */
/* > \author Univ. of Colorado Denver */
/* > \author NAG Ltd. */
/* > \date September 2012 */
/* > \ingroup auxOTHERauxiliary */
/* > \par Further Details: */
/* ===================== */
/* > */
/* > \verbatim */
/* > */
/* > 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. */
/* > \endverbatim */
/* > */
/* ===================================================================== */
/* Subroutine */
int slaruv_(integer *iseed, integer *n, real *x)
{
/* Initialized data */
static integer mm[512] /* was [128][4] */
=
{
494,2637,255,2008,1253, 3344,4084,1739,3143,3468,688,1657,1238,3166,1292,3422,1270,2016, 154,2862,697,1706,491,931,1444,444,3577,3944,2184,1661,3482,657, 3023,3618,1267,1828,164,3798,3087,2400,2870,3876,1905,1593,1797, 1234,3460,328,2861,1950,617,2070,3331,769,1558,2412,2800,189,287, 2045,1227,2838,209,2770,3654,3993,192,2253,3491,2889,2857,2094, 1818,688,1407,634,3231,815,3524,1914,516,164,303,2144,3480,119, 3357,837,2826,2332,2089,3780,1700,3712,150,2000,3375,1621,3090, 3765,1149,3146,33,3082,2741,359,3316,1749,185,2784,2202,2199,1364, 1244,2020,3160,2785,2772,1217,1822,1245,2252,3904,2774,997,2573, 1148,545,322,789,1440,752,2859,123,1848,643,2405,2638,2344,46, 3814,913,3649,339,3808,822,2832,3078,3633,2970,637,2249,2081,4019, 1478,242,481,2075,4058,622,3376,812,234,641,4005,1122,3135,2640, 2302,40,1832,2247,2034,2637,1287,1691,496,1597,2394,2584,1843,336, 1472,2407,433,2096,1761,2810,566,442,41,1238,1086,603,840,3168, 1499,1084,3438,2408,1589,2391,288,26,512,1456,171,1677,2657,2270, 2587,2961,1970,1817,676,1410,3723,2803,3185,184,663,499,3784,1631, 1925,3912,1398,1349,1441,2224,2411,1907,3192,2786,382,37,759,2948, 1862,3802,2423,2051,2295,1332,1832,2405,3638,3661,327,3660,716, 1842,3987,1368,1848,2366,2508,3754,1766,3572,2893,307,1297,3966, 758,2598,3406,2922,1038,2934,2091,2451,1580,1958,2055,1507,1078, 3273,17,854,2916,3971,2889,3831,2621,1541,893,736,3992,787,2125, 2364,2460,257,1574,3912,1216,3248,3401,2124,2762,149,2245,166,466, 4018,1399,190,2879,153,2320,18,712,2159,2318,2091,3443,1510,449, 1956,2201,3137,3399,1321,2271,3667,2703,629,2365,2431,1113,3922, 2554,184,2099,3228,4012,1921,3452,3901,572,3309,3171,817,3039, 1696,1256,3715,2077,3019,1497,1101,717,51,981,1978,1813,3881,76, 3846,3694,1682,124,1660,3997,479,1141,886,3514,1301,3604,1888, 1836,1990,2058,692,1194,20,3285,2046,2107,3508,3525,3801,2549, 1145,2253,305,3301,1065,3133,2913,3285,1241,1197,3729,2501,1673, 541,2753,949,2361,1165,4081,2725,3305,3069,3617,3733,409,2157, 1361,3973,1865,2525,1409,3445,3577,77,3761,2149,1449,3005,225,85, 3673,3117,3089,1349,2057,413,65,1845,697,3085,3441,1573,3689,2941, 929,533,2841,4077,721,2821,2249,2397,2817,245,1913,1997,3121,997, 1833,2877,1633,981,2009,941,2449,197,2441,285,1473,2741,3129,909, 2801,421,4073,2813,2337,1429,1177,1901,81,1669,2633,2269,129,1141, 249,3917,2481,3941,2217,2749,3041,1877,345,2861,1809,3141,2825, 157,2881,3637,1465,2829,2161,3365,361,2685,3745,2325,3609,3821, 3537,517,3017,2141,1537
}
;
/* System generated locals */
integer i__1;
/* Local variables */
integer i__, i1, i2, i3, i4, it1, it2, it3, it4;
/* -- LAPACK auxiliary routine (version 3.4.2) -- */
/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
/* September 2012 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iseed;
--x;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
i1 = iseed[1];
i2 = iseed[2];
i3 = iseed[3];
i4 = iseed[4];
i__1 = min(*n,128);
for (i__ = 1;
i__ <= i__1;
++i__)
{
L20: /* Multiply the seed by i-th power of the multiplier modulo 2**48 */
it4 = i4 * mm[i__ + 383];
it3 = it4 / 4096;
it4 -= it3 << 12;
it3 = it3 + i3 * mm[i__ + 383] + i4 * mm[i__ + 255];
it2 = it3 / 4096;
it3 -= it2 << 12;
it2 = it2 + i2 * mm[i__ + 383] + i3 * mm[i__ + 255] + i4 * mm[i__ + 127];
it1 = it2 / 4096;
it2 -= it1 << 12;
it1 = it1 + i1 * mm[i__ + 383] + i2 * mm[i__ + 255] + i3 * mm[i__ + 127] + i4 * mm[i__ - 1];
it1 %= 4096;
/* Convert 48-bit integer to a real number in the interval (0,1) */
x[i__] = ((real) it1 + ((real) it2 + ((real) it3 + (real) it4 * 2.44140625e-4f) * 2.44140625e-4f) * 2.44140625e-4f) * 2.44140625e-4f;
if (x[i__] == 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 X( I ) will */
/* be rounded to exactly 1.0. In IEEE single precision arithmetic, */
/* this will happen relatively often since n = 24. */
/* Since X( I ) is not supposed to return exactly 0.0 or 1.0, */
/* the statistically correct thing to do in this situation is */
/* simply to iterate again. */
/* N.B. the case X( I ) = 0.0 should not be possible. */
i1 += 2;
i2 += 2;
i3 += 2;
i4 += 2;
goto L20;
}
/* L10: */
}
/* Return final value of seed */
iseed[1] = it1;
iseed[2] = it2;
iseed[3] = it3;
iseed[4] = it4;
return 0;
/* End of SLARUV */
}
/* slaruv_ */
|
