randomgen.mt19937.MT19937.jumped

MT19937.jumped(jumps=1)

Returns a new bit generator with the state jumped

The state of the returned big generator is jumped as-if 2**(128 * jumps) random numbers have been generated.

Parameters:
jumpsinteger, positive

Number of times to jump the state of the bit generator returned

Returns:
bit_generatorMT19937

New instance of generator jumped jumps times

Notes

The jump step is computed using a modified version of Matsumoto’s implementation of Horner’s method. The step polynomial is precomputed to perform 2**128 steps. The jumped state has been verified to match the state produced using Matsumoto’s original code.

References

[1]

Matsumoto, M, Generating multiple disjoint streams of pseudorandom number sequences. Accessed on: May 6, 2020. (online). Available: http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/JUMP/

[2]

Hiroshi Haramoto, Makoto Matsumoto, Takuji Nishimura, François Panneton, Pierre L’Ecuyer, “Efficient Jump Ahead for F2-Linear Random Number Generators”, INFORMS JOURNAL ON COMPUTING, Vol. 20, No. 3, Summer 2008, pp. 385-390.