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@ -31,7 +31,7 @@ import org.apache.commons.math4.rng.internal.source64.TwoCmres;
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* </code></pre>
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* or
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* <pre><code>
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* final int[] seed = new int[] { 196, 9, 0, 226 };
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* final int[] seed = new int[] { 196, 9, 0, 226 };
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* UniformRandomProvider rng = RandomSource.create(RandomSource.MT, seed);
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* </code></pre>
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* or
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@ -44,8 +44,8 @@ import org.apache.commons.math4.rng.internal.source64.TwoCmres;
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* (optional) seed.
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* <br>
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* In the first form, a random seed will be {@link SeedFactory generated
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* automatically}; the random seed generation step is explicit in the
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* third form.
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* automatically}; in the second form, a fixed seed is used; a random seed
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* is explicitly generated in the third form.
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* </p>
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*
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* <p>
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@ -68,22 +68,22 @@ import org.apache.commons.math4.rng.internal.source64.TwoCmres;
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* internal state.
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* <br>
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* When the seed value passed by the caller is of the native type, it is
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* expected that the sequences produced will be the same as those
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* produced by other implementations of the algorithm.
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* expected that the sequences produced will be identical to those
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* produced by other implementations of the same reference algorithm.
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* <br>
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* However, when the seed value passed by the caller is not of the native
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* type, a transformation is performed by this library and the resulting
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* native type value will <i>not</i> contain more information than the
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* original seed value.
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* If the algorithm's native type is "simpler" than the type passed by
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* the caller, then some (unuse) information will even be lost.
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* the caller, then some (unused) information will even be lost.
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* <br>
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* The transformation from non-native to native seed type is arbitrary,
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* as long as it does not reduce the amount of information required by
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* the algorithm to initialize its state.
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* The consequence of the transformation is that the sequences produced
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* by this library may not be the same as the sequences produced by other
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* implementations of the same algorithm!
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* The consequence of the transformation is that sequences produced
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* by this library may <i>not</i> be the same as the sequences produced
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* by other implementations of the same algorithm!
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* </p>
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*
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* <p>
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@ -93,11 +93,12 @@ import org.apache.commons.math4.rng.internal.source64.TwoCmres;
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* generators factory method}.
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* <br>
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* Although the seed-generating methods defined in this class will likely
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* return different values for all calls, there is no guarantee that the
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* produced seed will result always in a "good" sequence of numbers, even
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* if the generator is good.
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* return different values each time they are called, there is no guarantee
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* that the resulting "seed" will always generate a <i>good</i> (i.e.
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* sufficiently uniformly random for the intended purpose) sequence of
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* numbers, even if the generator is good!
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* The only way to ensure that the selected seed will make the generator
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* produce a "good" sequence is to submit that sequence to a series of
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* produce a good sequence is to submit that sequence to a series of
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* stringent tests, as provided by tools such as
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* <a href="http://www.phy.duke.edu/~rgb/General/dieharder.php">dieharder</a>
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* or <a href="http://simul.iro.umontreal.ca/testu01/tu01.html">TestU01</a>.
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@ -133,7 +134,7 @@ import org.apache.commons.math4.rng.internal.source64.TwoCmres;
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* used for {@link #restoreState(UniformRandomProvider,State) restoring}
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* a generator (of the same type) to an identical state (e.g. to allow
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* persistent storage, or to continue a sequence from where the original
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* instance left off.).
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* instance left off).
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* </p>
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*
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* @since 4.0
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