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In computer science, a generator is a routine that can be used to control the iteration behaviour of a loop. All generators are also iterators. [1] A generator is very similar to a function that returns an array, in that a generator has parameters, can be called, and generates a sequence of values.
Whenever the for loop in the example requires the next item, the generator is called, and yields the next item. Generators don't have to be infinite like the prime-number example above. When a generator terminates, an internal exception is raised which indicates to any calling context that there are no more values.
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A SWB generator is the basis for the RANLUX generator, [19] widely used e.g. for particle physics simulations. Maximally periodic reciprocals: 1992 R. A. J. Matthews [20] A method with roots in number theory, although never used in practical applications. KISS: 1993 G. Marsaglia [21] Prototypical example of a combination generator. Multiply ...
A de Bruijn sequence can be used to shorten a brute-force attack on a PIN-like code lock that does not have an "enter" key and accepts the last n digits entered. For example, a digital door lock with a 4-digit code (each digit having 10 possibilities, from 0 to 9) would have B (10, 4) solutions, with length 10 000 .
The next() method advances the iterator and returns the value pointed to by the iterator. The first element is obtained upon the first call to next(). [18]: 294–295 To determine when all the elements in the container have been visited the hasNext() test method is used. [18]: 262 The following example shows a simple use of iterators:
The generator is not sensitive to the choice of c, as long as it is relatively prime to the modulus (e.g. if m is a power of 2, then c must be odd), so the value c=1 is commonly chosen. The sequence produced by other choices of c can be written as a simple function of the sequence when c=1.
The sequence () must have = after finitely many steps, and since the next element depends only on its direct predecessor, also + = + etc. The maximum possible period for the modulus q is q itself, i.e. the sequence includes every value from 0 to q − 1 before repeating.