├── .git-blame-ignore-revs ├── .github └── workflows │ ├── ci.yml │ └── clean.yml ├── .gitignore ├── .jvmopts ├── .scalafmt.conf ├── AUTHORS.md ├── CHANGES.md ├── CONTRIBUTING.md ├── COPYING ├── DESIGN.md ├── FRIENDS.md ├── NOTES ├── README.md ├── benchmark └── src │ └── main │ ├── java │ └── spire │ │ └── benchmark │ │ └── JavaFib.java │ ├── scala-2 │ └── spire │ │ └── benchmark │ │ └── FpFilterBenchmark.scala │ └── scala │ └── spire │ └── benchmark │ ├── AddBenchmarks.scala │ ├── ArrayOrderBenchmark.scala │ ├── Arrays.scala │ ├── BigIntRational.scala │ ├── CForBenchmark.scala │ ├── CheckedBenchmark.scala │ ├── ComplexAddBenchmarks.scala │ ├── FibBenchmark.scala │ ├── GcdBenchmarks.scala │ ├── JuliaBenchmarks.scala │ ├── LongRational.scala │ ├── MapSemigroupBenchmarks.scala │ ├── NaturalBenchmark.scala │ ├── PolynomialBenchmark.scala │ ├── PowBenchmark.scala │ ├── RandomBenchmark.scala │ ├── RatComparisonBenchmark.scala │ ├── RationalBenchmarks.scala │ ├── RexBenchmark.scala │ ├── SafeLongBenchmarks.scala │ ├── ScalaVsSpire.scala │ ├── SelectionBenchmarks.scala │ ├── SieveBenchmark.scala │ ├── SizedArrays.scala │ ├── SortingBenchmarks.scala │ ├── StrictEqBenchmarks.scala │ ├── SubBenchmarks.scala │ └── ZigguratBenchmarks.scala ├── core └── src │ └── main │ ├── scala-2 │ └── spire │ │ ├── NoImplicit.scala │ │ ├── macros │ │ ├── Auto.scala │ │ ├── Macros.scala │ │ └── fpf │ │ │ └── Fuser.scala │ │ ├── math │ │ └── FpFilter.scala │ │ ├── optional │ │ └── unicode.scala │ │ ├── package.scala │ │ └── syntax │ │ ├── Literals.scala │ │ ├── Ops.scala │ │ ├── Syntax.scala │ │ └── std │ │ ├── StdOps.scala │ │ └── StdSyntax.scala │ ├── scala-3 │ └── spire │ │ ├── optional │ │ └── unicode.scala │ │ ├── package.scala │ │ └── syntax │ │ ├── CforSyntax.scala │ │ ├── Ops.scala │ │ ├── Syntax.scala │ │ ├── macros │ │ ├── cforMacros.scala │ │ └── literalMacros.scala │ │ └── std │ │ └── StdSyntax.scala │ └── scala │ └── spire │ ├── algebra │ ├── Action.scala │ ├── CoordinateSpace.scala │ ├── InnerProductSpace.scala │ ├── Involution.scala │ ├── IsReal.scala │ ├── MetricSpace.scala │ ├── Module.scala │ ├── NRoot.scala │ ├── NormedVectorSpace.scala │ ├── RingAssociativeAlgebra.scala │ ├── Torsor.scala │ ├── Trig.scala │ ├── UniqueFactorizationDomain.scala │ ├── VectorSpace.scala │ ├── free │ │ ├── FreeAbGroup.scala │ │ ├── FreeGroup.scala │ │ └── FreeMonoid.scala │ ├── lattice │ │ └── package.scala │ ├── package.scala │ └── partial │ │ ├── Groupoid.scala │ │ ├── PartialAction.scala │ │ └── Semigroupoid.scala │ ├── compat.scala │ ├── compat │ ├── package.scala │ └── scalacompat.scala │ ├── implicits.scala │ ├── macros │ └── fpf │ │ └── Cmp.scala │ ├── math │ ├── Algebraic.scala │ ├── BitString.scala │ ├── Complex.scala │ ├── Convertable.scala │ ├── FastComplex.scala │ ├── Fractional.scala │ ├── Integral.scala │ ├── Interval.scala │ ├── Jet.scala │ ├── Merging.scala │ ├── Natural.scala │ ├── Number.scala │ ├── NumberTag.scala │ ├── Numeric.scala │ ├── Polynomial.scala │ ├── Quaternion.scala │ ├── Rational.scala │ ├── Real.scala │ ├── SafeLong.scala │ ├── ScalaWrappers.scala │ ├── Searching.scala │ ├── Selection.scala │ ├── Sorting.scala │ ├── Trilean.scala │ ├── UByte.scala │ ├── UInt.scala │ ├── ULong.scala │ ├── UShort.scala │ ├── interval │ │ ├── Bound.scala │ │ └── Overlap.scala │ ├── package.scala │ ├── poly │ │ ├── BigDecimalRootRefinement.scala │ │ ├── PolyDense.scala │ │ ├── PolySparse.scala │ │ ├── RootFinder.scala │ │ ├── RootIsolator.scala │ │ ├── Roots.scala │ │ ├── SpecialPolynomials.scala │ │ └── Term.scala │ └── prime │ │ ├── BitSet.scala │ │ ├── FactorHeap.scala │ │ ├── Factors.scala │ │ ├── SieveSegment.scala │ │ ├── SieveUtil.scala │ │ ├── Siever.scala │ │ └── package.scala │ ├── optional │ ├── Perm.scala │ ├── genericEq.scala │ ├── intervalGeometricPartialOrder.scala │ ├── intervalRangedPartialOrder.scala │ ├── intervalSubsetPartialOrder.scala │ ├── partialIterable.scala │ ├── powerSetPartialOrder.scala │ ├── rationalTrig.scala │ ├── totalFloat.scala │ └── vectorOrder.scala │ ├── random │ ├── Dist.scala │ ├── Exponential.scala │ ├── Gaussian.scala │ ├── Generator.scala │ ├── Random.scala │ ├── Uniform.scala │ ├── Ziggurat.scala │ └── rng │ │ ├── BurtleRot32.scala │ │ ├── Cmwc5.scala │ │ ├── DevPrng.scala │ │ ├── Lcg32.scala │ │ ├── Lcg64.scala │ │ ├── Marsaglia32a6.scala │ │ ├── MersenneTwister32.scala │ │ ├── MersenneTwister64.scala │ │ ├── PcgXshRr64_32.scala │ │ ├── SecureJava.scala │ │ ├── Serial.scala │ │ ├── SyncGenerator.scala │ │ ├── Utils.scala │ │ ├── Well1024a.scala │ │ ├── Well19937a.scala │ │ ├── Well19937acIndexCache.scala │ │ ├── Well19937c.scala │ │ ├── Well44497a.scala │ │ ├── Well44497abIndexCache.scala │ │ ├── Well44497b.scala │ │ └── Well512a.scala │ ├── std │ ├── any.scala │ ├── array.scala │ ├── bigDecimal.scala │ ├── bigInt.scala │ ├── bigInteger.scala │ ├── boolean.scala │ ├── byte.scala │ ├── char.scala │ ├── double.scala │ ├── float.scala │ ├── int.scala │ ├── iterable.scala │ ├── long.scala │ ├── map.scala │ ├── option.scala │ ├── package.scala │ ├── seq.scala │ ├── short.scala │ ├── string.scala │ └── unit.scala │ └── syntax │ ├── CommonOps.scala │ ├── StdCommonOps.scala │ ├── package.scala │ └── std │ └── package.scala ├── doc ├── divmodnote-letter.pdf └── numeric-pre-sip.txt ├── docs ├── AUTHORS.md ├── CHANGES.md ├── CONTRIBUTING.md ├── DESIGN.md ├── FRIENDS.md ├── directory.conf ├── guide.md └── index.md ├── examples └── src │ └── main │ ├── resources │ └── datasets │ │ ├── auto-mpg.data │ │ ├── auto-mpg.names │ │ ├── iris.data │ │ ├── iris.names │ │ ├── yeast.data │ │ └── yeast.names │ ├── scala-2 │ └── spire │ │ └── example │ │ └── autoalgebra.scala │ └── scala │ └── spire │ └── example │ ├── BigStreamCompat.scala │ ├── DataSets.scala │ ├── ZigguratGenerator.scala │ ├── bigtrig.scala │ ├── endoring.scala │ ├── finitefield.scala │ ├── graphing.scala │ ├── infset.scala │ ├── kleene.scala │ ├── kmeans.scala │ ├── loops.scala │ ├── mandelbrot.scala │ ├── operators.scala │ ├── randomforest.scala │ └── simplification.scala ├── extras └── src │ └── main │ └── scala │ └── spire │ ├── math │ ├── FixedPoint.scala │ └── extras │ │ └── interval │ │ ├── IntervalSeq.scala │ │ ├── IntervalSet.scala │ │ ├── IntervalTrie.scala │ │ └── Tree.scala │ └── random │ └── rng │ ├── XorShift1024Star.scala │ ├── XorShift128Plus.scala │ └── XorShift64Star.scala ├── laws └── src │ └── main │ └── scala │ └── spire │ └── laws │ ├── ActionLaws.scala │ ├── BaseLaws.scala │ ├── CombinationLaws.scala │ ├── GroupLaws.scala │ ├── InvalidTestException.scala │ ├── InvolutionLaws.scala │ ├── LatticeLaws.scala │ ├── LatticePartialOrderLaws.scala │ ├── LogicLaws.scala │ ├── OrderLaws.scala │ ├── PartialActionLaws.scala │ ├── PartialGroupLaws.scala │ ├── RingLaws.scala │ ├── VectorSpaceLaws.scala │ ├── arb.scala │ ├── gen.scala │ ├── package.scala │ └── shadows │ ├── Shadow.scala │ ├── ShadowAdditiveAbGroup.scala │ ├── ShadowAdditiveCMonoid.scala │ ├── ShadowAdditiveCSemigroup.scala │ ├── ShadowCRig.scala │ ├── ShadowCRing.scala │ ├── ShadowCRng.scala │ ├── ShadowCSemiring.scala │ ├── ShadowEq.scala │ ├── ShadowEuclideanRing.scala │ ├── ShadowGCDRing.scala │ ├── ShadowInvolution.scala │ ├── ShadowMultiplicativeCMonoid.scala │ ├── ShadowMultiplicativeCSemigroup.scala │ ├── ShadowOrder.scala │ ├── ShadowPartialOrder.scala │ ├── ShadowSigned.scala │ ├── ShadowTruncatedDivision.scala │ └── Shadowing.scala ├── macros └── src │ ├── main │ ├── scala-2 │ │ └── spire │ │ │ └── macros │ │ │ ├── Checked.scala │ │ │ ├── Syntax.scala │ │ │ ├── compat.scala │ │ │ └── machinist │ │ │ └── Ops.scala │ └── scala-3 │ │ └── spire │ │ └── macros │ │ └── Checked.scala │ └── test │ ├── scala-2.x │ └── spire │ │ └── macros │ │ └── machinist │ │ └── MachinistSuite.scala │ └── scala │ └── spire │ └── macros │ └── CheckedScalaCheckSuite.scala ├── platform ├── js-native │ └── src │ │ └── main │ │ └── scala │ │ └── spire │ │ └── Platform.scala └── jvm │ └── src │ └── main │ └── scala │ └── spire │ └── Platform.scala ├── project ├── GenProductTypes.scala ├── build.properties └── plugins.sbt ├── tests ├── jvm │ └── src │ │ └── test │ │ └── scala │ │ └── spire │ │ └── math │ │ ├── JVMNumberPropertiesSuite.scala │ │ └── JVMSafeLongScalaCheckSuite.scala └── shared │ └── src │ └── test │ ├── scala-2 │ └── scala │ │ └── spire │ │ └── math │ │ └── fpf │ │ └── FpFilterSuite.scala │ └── scala │ └── spire │ ├── PartialOrderSyntaxSuite.scala │ ├── PartialSyntaxScalaCheckSuite.scala │ ├── SyntaxScalaCheckSuite.scala │ ├── algebra │ ├── AliasesSuite.scala │ ├── EqSuite.scala │ ├── NRootSuite.scala │ ├── PartialOrderSuite.scala │ ├── RingSuite.scala │ ├── SignedSuite.scala │ └── TrigSuite.scala │ ├── laws │ ├── ArbSuite.scala │ ├── D3.scala │ ├── ExtraLawSuite.scala │ └── LawSuite.scala │ ├── math │ ├── AlgebraicScalaCheckSuite.scala │ ├── ArbitrarySupport.scala │ ├── BigDecimalSuite.scala │ ├── BigIntegerNRootScalaCheckSuite.scala │ ├── BinaryMergeScalaCheckSuite.scala │ ├── BitStringScalaCheckSuite.scala │ ├── BitStringSuite.scala │ ├── ComplexScalaCheckSuite.scala │ ├── ComplexScalaCheckSuite2.scala │ ├── ComplexSuite.scala │ ├── ContinuosIntervalSuite.scala │ ├── CooperativeEqualitySuite.scala │ ├── FastComplexScalaCheckSuite.scala │ ├── IntervalGeometricPartialOrderSuite.scala │ ├── IntervalIteratorScalaCheckSuite.scala │ ├── IntervalOverlapScalaCheckSuite.scala │ ├── IntervalReciprocalSuite.scala │ ├── IntervalScalaCheckSuite.scala │ ├── IntervalSubsetPartialOrderSuite.scala │ ├── IntervalSuite.scala │ ├── IntervalSyntaxSuite.scala │ ├── JetSuite.scala │ ├── MergingSuite.scala │ ├── NaturalScalaCheckSuite.scala │ ├── NumberPropertiesScalaCheckSuite.scala │ ├── NumberSuite.scala │ ├── NumericSuite.scala │ ├── PackageScalaCheckSuite.scala │ ├── PackageSuite.scala │ ├── PolynomialSamplingScalaCheckSuite.scala │ ├── PolynomialScalaCheckSuite.scala │ ├── PolynomialSuite.scala │ ├── QuaternionScalaCheckSuite.scala │ ├── QuaternionSuite.scala │ ├── RationalScalaCheckSuite.scala │ ├── RationalSuite.scala │ ├── RealScalaCheckSuite.scala │ ├── RingIntervalSuite.scala │ ├── SafeLongScalaCheckSuite.scala │ ├── SafeLongSuite.scala │ ├── SearchSuite.scala │ ├── SelectSuite.scala │ ├── SortingSuite.scala │ ├── TrileanScalaCheckSuite.scala │ ├── TypeclassExistenceSuite.scala │ ├── UByteSuite.scala │ ├── UIntSuite.scala │ ├── ULongSuite.scala │ ├── UShortSuite.scala │ ├── extras │ │ ├── FixedPointScalaCheckSuite.scala │ │ └── interval │ │ │ ├── IntervalSeqArbitrary.scala │ │ │ ├── IntervalSeqSampleScalaCheckSuite.scala │ │ │ ├── IntervalSeqSuite.scala │ │ │ ├── IntervalSetSuite.scala │ │ │ ├── IntervalTrieArbitrary.scala │ │ │ └── IntervalTrieSampleCheck.scala │ ├── interval │ │ ├── BoundScalaCheckSuite.scala │ │ └── OverlapScalaCheckSuite.scala │ └── prime │ │ ├── FactorHeapScalaCheckSuite.scala │ │ ├── FactorsScalaCheckSuite.scala │ │ └── PrimeSuite.scala │ ├── optional │ └── unicode │ │ └── 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