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@ -152,13 +152,19 @@ Functions for sequences:
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.. function:: shuffle(x[, random])
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.. function:: shuffle(x[, random])
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Shuffle the sequence *x* in place. The optional argument *random* is a
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Shuffle the sequence *x* in place.
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0-argument function returning a random float in [0.0, 1.0); by default, this is
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the function :func:`.random`.
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Note that for even rather small ``len(x)``, the total number of permutations of
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The optional argument *random* is a 0-argument function returning a random
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*x* is larger than the period of most random number generators; this implies
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float in [0.0, 1.0); by default, this is the function :func:`.random`.
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that most permutations of a long sequence can never be generated.
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To shuffle an immutable sequence and return a new shuffled list, use
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``sample(x, k=len(x))`` instead.
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Note that even for small ``len(x)``, the total number of permutations of *x*
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can quickly grow larger than the period of most random number generators.
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This implies that most permutations of a long sequence can never be
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generated. For example, a sequence of length 2080 is the largest that
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can fit within the period of the Mersenne Twister random number generator.
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.. function:: sample(population, k)
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.. function:: sample(population, k)
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@ -175,9 +181,9 @@ Functions for sequences:
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Members of the population need not be :term:`hashable` or unique. If the population
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Members of the population need not be :term:`hashable` or unique. If the population
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contains repeats, then each occurrence is a possible selection in the sample.
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contains repeats, then each occurrence is a possible selection in the sample.
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To choose a sample from a range of integers, use an :func:`range` object as an
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To choose a sample from a range of integers, use a :func:`range` object as an
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argument. This is especially fast and space efficient for sampling from a large
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argument. This is especially fast and space efficient for sampling from a large
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population: ``sample(range(10000000), 60)``.
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population: ``sample(range(10000000), k=60)``.
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If the sample size is larger than the population size, a :exc:`ValueError`
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If the sample size is larger than the population size, a :exc:`ValueError`
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is raised.
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is raised.
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