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The paper claims improved equidistribution over MT and performance on an old (2008-era) GPU (Nvidia GTX260 with 192 cores) of 4.7 ms for 5×10 7 random 32-bit integers. The SFMT ( SIMD -oriented Fast Mersenne Twister) is a variant of Mersenne Twister, introduced in 2006, [ 9 ] designed to be fast when it runs on 128-bit SIMD.
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 ...
A 32-bit register can store 2 32 different values. The range of integer values that can be stored in 32 bits depends on the integer representation used. With the two most common representations, the range is 0 through 4,294,967,295 (2 32 − 1) for representation as an binary number, and −2,147,483,648 (−2 31) through 2,147,483,647 (2 31 − 1) for representation as two's complement.
The time saving is minimal, as the most expensive operation (the 64×64-bit multiply) remains, so the normal version is preferred except in extremis. Still, this faster version also passes statistical tests. [4] When executing on a 32-bit processor, the 64×64-bit multiply must be implemented using three 32×32→64-bit multiply operations.
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.
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.
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