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[7] A combination of three small LCGs, suited to 16-bit CPUs. Widely used in many programs, e.g. it is used in Excel 2003 and later versions for the Excel function RAND [8] and it was the default generator in the language Python up to version 2.2. [9] Rule 30: 1983 S. Wolfram [10] Based on cellular automata. Inversive congruential generator ...
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.
Pseudocode is commonly used in textbooks and scientific publications related to computer science and numerical computation to describe algorithms in a way that is accessible to programmers regardless of their familiarity with specific programming languages.
MurmurHash64A (64-bit, x64)—The original 64-bit version. Optimized for 64-bit arithmetic. MurmurHash64B (64-bit, x86)—A 64-bit version optimized for 32-bit platforms. It is not a true 64-bit hash due to insufficient mixing of the stripes. [10] The person who originally found the flaw [clarification needed] in MurmurHash2 created an ...
I note that the python 32-bit implementation as given does not limit the seed to a 32bit int despite using hardcoded 32 bit MT values. In python this allows the seed to accept an int of virtually unlimited size.
For Monte Carlo simulations, an LCG must use a modulus greater and preferably much greater than the cube of the number of random samples which are required. This means, for example, that a (good) 32-bit LCG can be used to obtain about a thousand random numbers; a 64-bit LCG is good for about 2 21 random samples (a little over two million), etc ...
Blum Blum Shub takes the form + =, where M = pq is the product of two large primes p and q.At each step of the algorithm, some output is derived from x n+1; the output is commonly either the bit parity of x n+1 or one or more of the least significant bits of x n+1.
As an example, consider the 64-bit FNV-1 hash: All variables, except for byte_of_data, are 64-bit unsigned integers. The variable, byte_of_data, is an 8-bit unsigned integer. The FNV_offset_basis is the 64-bit value: 14695981039346656037 (in hex, 0xcbf29ce484222325). The FNV_prime is the 64-bit value 1099511628211 (in hex, 0x100000001b3).