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The generator computes an odd 128-bit value and returns its upper 64 bits. This generator passes BigCrush from TestU01, but fails the TMFn test from PractRand. That test has been designed to catch exactly the defect of this type of generator: since the modulus is a power of 2, the period of the lowest bit in the output is only 2 62, rather than ...
The PCG family includes a number of variants. The core LCG is defined for widths from 8 to 128 bits [citation needed], although only 64 and 128 bits are recommended for practical use; smaller sizes are for statistical tests of the technique. The additive constant in the LCG can be varied to produce different streams.
The DEC VAX supported operations on 128-bit integer ('O' or octaword) and 128-bit floating-point ('H-float' or HFLOAT) datatypes. Support for such operations was an upgrade option rather than being a standard feature. Since the VAX's registers were 32 bits wide, a 128-bit operation used four consecutive registers or four longwords in memory.
TCPDF is a free and open source software PHP class for generating PDF documents. TCPDF is the only PHP-based library that includes complete support for UTF-8 Unicode and right-to-left languages, including the bidirectional algorithm.
Then 6 or 7 bits are replaced by fixed values, the 4-bit version (e.g. 0011 2 for version 3), and the 2- or 3-bit UUID "variant" (e.g. 10 2 indicating a RFC 9562 UUIDs, or 110 2 indicating a legacy Microsoft GUID). Since 6 or 7 bits are thus predetermined, only 121 or 122 bits contribute to the uniqueness of the UUID.
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