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If x 2 − y 2 is evaluated as ((x × x) − y × y) (following Kahan's suggested notation in which redundant parentheses direct the compiler to round the (x × x) term first) using fused multiply–add, then the result may be negative even when x = y due to the first multiplication discarding low significance bits. This could then lead to an ...
The Mad Minute was a pre-World War I bolt-action rifle speed shooting exercise used by British Army riflemen, using the Lee–Enfield service rifle. The exercise, formally known as "Practice number 22, Rapid Fire, The Musketry Regulations, Part I, 1909", required the rifleman to fire 15 rounds at a "Second Class Figure" target at 300 yd (270 m).
A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient than ...
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 ...
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One disadvantage of the CMWC construction is that, with a power-of-two base, the maximum achievable period is less than for a similar-sized MWC generator; you lose several bits. Thus, an MWC generator is usually preferable for small lags. This can remedied by using b = 2 k −1, or choosing a lag one word longer to compensate.
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