AES Counter Mode (CTR) implementation from Intel Whitepaper, "Intel® Advanced Encryption Standard (AES) Instructions Set":
https://software.intel.com/sites/default/files/2d/7a/24917
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https://web.archive.org/web/20160125103112/http://stat.fsu.edu/pub/diehard/
L'Ecuyer, P. and Cote, S. "Implementing a Random Number Package with Splitting Facilities." ACM Transactions on Mathematical Software, 17:98-111 (1991)
R. C. H. Cheng "Generating Beta Variates with Nonintegral Shape Parameters" Communications of the ACM, 21:317-322 (1978)
Ahrens, J.H. and Dieter, U. "Computer Methods for Sampling From the Exponential and Normal Distributions." Comm. ACM, 15,10 (Oct. 1972), 873 - 882.
Ahrens, J.H. and Dieter, U. "Computer Methods for Sampling from Gamma, Beta, Poisson and Binomial Distributions." Computing, 12 (1974), 223-246
Ahrens, J.H. and Dieter, U. "Generating Gamma Variates by a Modified Rejection Technique." Comm. ACM, 25,1 (Jan. 1982), 47 - 54.
Devroye, Luc "Non-Uniform Random Variate Generation." Springer-Verlag, New York, 1986
Ahrens, J.H. and Dieter, U. "Extensions of Forsythe's Method for Random Sampling from the Normal Distribution." Math. Comput., 27,124 (Oct. 1973), 927 - 937.
Kachitvichyanukul, V. and Schmeiser, B. W. "Binomial Random Variate Generation." Communications of the ACM, 31, 2 (February, 1988) 216.
VORATAS KACHITVICHYANUKUL AND BRUCE SCHMEISER, "BINOMIAL RANDOM VARIATE GENERATION," COMMUNICATIONS OF THE ACM, FORTHCOMING WRITTEN: SEPTEMBER 1980. LAST REVISED: MAY 1985, JULY 1987
Ahrens, J.H. and Dieter, U. "Computer Generation of Poisson Deviates From Modified Normal Distributions." ACM Trans. Math. Software, 8, 2 (June 1982),163-179
Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, All rights reserved. Copyright (C) 2005, Mutsuo Saito All rights reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
1. Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright
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3. The names of its contributors may not be used to endorse or promote
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
Copyright (C) 2004, Makoto Matsumoto and Takuji Nishimura, All rights reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
1. Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
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3. The names of its contributors may not be used to endorse or promote
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
References:
T. Nishimura, Tables of 64-bit Mersenne Twisters'' ACM Transactions on Modeling and Computer Simulation 10. (2000) 348--357. M. Matsumoto and T. Nishimura, Mersenne Twister: a 623-dimensionally equidistributed
uniform pseudorandom number generator''
ACM Transactions on Modeling and
Computer Simulation 8. (Jan. 1998) 3--30.
/**
* @file tinymt64.h
* @file tinymt64.c
*
* @brief 64-bit Tiny Mersenne Twister only 127 bit internal state
*
* @author Mutsuo Saito (Hiroshima University)
* @author Makoto Matsumoto (The University of Tokyo)
*
* Copyright (C) 2011 Mutsuo Saito, Makoto Matsumoto,
* Hiroshima University and The University of Tokyo.
* All rights reserved.
*
* The 3-clause BSD License is applied to this software, see
* LICENSE.txt
*/WELL19937a.h and WELL19937a.cpp:
/* ***************************************************************************** */
/* Copyright: Francois Panneton and Pierre L'Ecuyer, University of Montreal */
/* Makoto Matsumoto, Hiroshima University */
/* Notice: This code can be used freely for personal, academic, */
/* or non-commercial purposes. For commercial purposes, */
/* please contact P. L'Ecuyer at: lecuyer@iro.UMontreal.ca */
/* ***************************************************************************** */