spire.math.prime

FactorHeap

class FactorHeap extends AnyRef

Simple heap implementation for storing Factors.

The heap can hold at most ~2B items, which means we can't store more than this many prime factors.

Note that "fast factors" don't end up in this heap, so the number of primes we can sieve is actaully the max heap size + the number of fast factors.

The sieve implementation itself uses a cutoff, so to test primality of numbers <= K, we need to be able to store prime factors up to sqrt(K) in our heap. Since our heap can hold ~2B prime factors, this means the theoretical upper bound on our segmented sieve is (~2Bth prime)^2.

In practice the sieve will slow down to the point of not being useful far before we could reach this limit.

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Instance Constructors

  1. new FactorHeap()

Value Members

  1. final def !=(arg0: AnyRef): Boolean

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  2. final def !=(arg0: Any): Boolean

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  3. final def ##(): Int

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  4. def +=(factor: Factor): Unit

  5. final def ==(arg0: AnyRef): Boolean

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  6. final def ==(arg0: Any): Boolean

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  7. final def asInstanceOf[T0]: T0

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  8. def clone(): AnyRef

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  9. def dequeue(): Factor

  10. final def eq(arg0: AnyRef): Boolean

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  11. def equals(arg0: Any): Boolean

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  12. def finalize(): Unit

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  13. final def getClass(): Class[_]

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  14. def hashCode(): Int

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  15. def isEmpty: Boolean

  16. final def isInstanceOf[T0]: Boolean

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  17. final def ne(arg0: AnyRef): Boolean

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  18. def nonEmpty: Boolean

  19. final def notify(): Unit

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  20. final def notifyAll(): Unit

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  21. def resizeIfNecessary(): Unit

  22. def size: Int

  23. final def synchronized[T0](arg0: ⇒ T0): T0

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  24. def toString(): String

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    FactorHeap → AnyRef → Any
  25. final def wait(): Unit

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  26. final def wait(arg0: Long, arg1: Int): Unit

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  27. final def wait(arg0: Long): Unit

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