Spire Numerical Analysis Library

A Spire Numerical Analysis Library is a Scala Numerical Analysis Library.

• • …
• Counter-Example(s):
  • a AXLE Scala Library.
  • a Python Numerical Analysis Library.
• See: typelevel Organization.

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References

2014

• https://github.com/non/spire
  • Using features such as specialization, macros, type classes, and implicits, Spire works hard to defy conventional wisdom around performance and precision trade-offs. A major goal is to allow developers to write efficient numeric code without having to "bake in" particular numeric representations. In most cases, generic implementations using Spire's specialized type classes perform identically to corresponding direct implementations.

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    In addition to supporting all of Scala's built-in number types, Spire introduces several new ones, all of which can be found in spire.math:

    • Natural unsigned, immutable, arbitrary precision integer.
    • Rational fractions of integers with perfect precision.
    • Algebraic lazily-computed, arbitrary precision algebraic numbers
    • Real computable real number implementation
    • Complex[A] complex numbers, points on the complex plane.
    • Jet[A] N-dimensional dual numbers, for automatic differentiation.
    • Quaternion[A] extension of complex numbers into 4D space
    • UByte through ULong value classes supporting unsigned operations
    • SafeLong fast, overflow-proof integer type
    • Number boxed type supporting a traditional numeric tower
    • FixedPoint fractions with unboxed Long numerator and implicit denominator
    • Interval[A] arithmetic on open, closed, and unbound intervals
    • Polynomial[A] univariate (single-variable) polynomial expressions
    • Trilean value class supporting three-valued logic
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