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An astrophysical Monte Carlo simulator examined the time to generate 10 7 64-bit random numbers using RDRAND on a quad-core Intel i7-3740 QM processor. They found that a C implementation of RDRAND ran about 2× slower than the default random number generator in C, and about 20× slower than the Mersenne Twister .
It is 10–20% slower than the 1993 version but has a larger period 2 123 and passes all tests in TestU01. In 2009 Marsaglia presented a version based on 64-bit integers (appropriate for 64-bit processors) which combines a multiply-with-carry generator, a Xorshift generator and a linear congruential generator. [ 5 ]
TempleOS is a 64-bit, non-preemptive multi-tasking, [8] multi-cored, public domain, open source, ring-0-only, single address space, non-networked, PC operating system for recreational programming. [9] The OS runs 8-bit ASCII with graphics in source code and has a 2D and 3D graphics library, which run at 640x480 VGA with 16 colors. [5]
A modification of Marsaglia's Xorshift generators, one of the fastest generators on modern 64-bit CPUs. Related generators include xoroshiro128**, xoshiro256+ and xoshiro256**. 64-bit MELG (MELG-64) 2018 S. Harase, T. Kimoto [40] An implementation of 64-bit maximally equidistributed F 2-linear generators with Mersenne prime period. Squares RNG ...
TestU01 only accepts 32-bit inputs, and interprets them as values in the range [0, 1]. This causes it to be more sensitive to flaws in the most-significant bits than the least significant bits. It is important to test general-purpose generators in bit-reversed form, to verify their suitability for applications which use the low-order bits.
Cryptographically Secure Random number on Windows without using CryptoAPI; Conjectured Security of the ANSI-NIST Elliptic Curve RNG, Daniel R. L. Brown, IACR ePrint 2006/117. A Security Analysis of the NIST SP 800-90 Elliptic Curve Random Number Generator, Daniel R. L. Brown and Kristian Gjosteen, IACR ePrint 2007/048. To appear in CRYPTO 2007.
In addition to Threefry and ARS, Salmon et al. described a third counter-based PRNG, Philox, [1] based on wide multiplies; e.g. multiplying two 32-bit numbers and producing a 64-bit number, or multiplying two 64-bit numbers and producing a 128-bit number. As of 2020, Philox is popular on CPUs and GPUs.
ACORN generator proposed recently […] is in fact equivalent to a MLCG with matrix A such that a~ = 1 for i 2 j, aq = 0 otherwise" [10] but the analysis is not taken further. ACORN is not the same as ACG (Additive Congruential Generator) and should not be confused with it - ACG appears to have been used for a variant of the LCG ( Linear ...