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<h3 class="section">17.15 Acknowledgements</h3>

<p>Thanks to Makoto Matsumoto, Takuji Nishimura and Yoshiharu Kurita for
making the source code to their generators (MT19937, MM&amp;TN; TT800,
MM&amp;YK) available under the GNU General Public License.  Thanks to Martin
L&uuml;scher for providing notes and source code for the <span class="sc">ranlxs</span> and
<span class="sc">ranlxd</span> generators.

<!-- lcg -->
<!-- [ LCG(n) := n * 69069 mod (2^32) ] -->
<!-- First 6: [69069, 475559465, 2801775573, 1790562961, 3104832285, 4238970681] -->
<!-- %2^31-1   69069, 475559465, 654291926, 1790562961, 957348638, 2091487034 -->
<!-- mrg -->
<!-- [q([x1, x2, x3, x4, x5]) := [107374182 mod 2147483647 * x1 + 104480 mod 2147483647 * x5, x1, x2, x3, x4]] -->
<!-- cmrg -->
<!-- [q1([x1,x2,x3]) := [63308 mod 2147483647 * x2 -183326 mod 2147483647 * x3, x1, x2], -->
<!-- q2([x1,x2,x3]) := [86098 mod 2145483479 * x1 -539608 mod 2145483479 * x3, x1, x2] ] -->
<!-- initial for q1 is [69069, 475559465, 654291926] -->
<!-- initial for q2 is  [1790562961, 959348806, 2093487202] -->
<!-- tausworthe -->
<!-- [ b1(x) := rsh(xor(lsh(x, 13), x), 19), -->
<!-- q1(x) := xor(lsh(and(x, 4294967294), 12), b1(x)), -->
<!-- b2(x) := rsh(xor(lsh(x, 2), x), 25), -->
<!-- q2(x) := xor(lsh(and(x, 4294967288), 4), b2(x)), -->
<!-- b3(x) := rsh(xor(lsh(x, 3), x), 11), -->
<!-- q3(x) := xor(lsh(and(x, 4294967280), 17), b3(x)) ] -->
<!-- [s1, s2, s3] = [600098857, 1131373026, 1223067536] -->
<!-- [2948905028, 441213979, 394017882] -->
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