Contents
Index
factory-0.2.1.1: Rational arithmetic in an irrational world.
Index
!/!
Factory.Math.Implementations.Factorial
*=
Factory.Data.Polynomial
<*>
Factory.Data.Monomial
</>
Factory.Data.Monomial
<=>
Factory.Data.Monomial
<^
Factory.Data.Exponential
=*=
Factory.Data.Ring
=+=
Factory.Data.Ring
=-=
Factory.Data.Ring
=^
Factory.Data.Ring
=~
1 (Function)
Factory.Data.Monomial
2 (Function)
Factory.Data.Exponential
>*<
Factory.Data.PrimeFactors
>/<
Factory.Data.PrimeFactors
>^
Factory.Data.PrimeFactors
ackermannPeter
Factory.Math.Hyperoperation
addition
Factory.Math.Hyperoperation
additiveIdentity
Factory.Data.Ring
additiveInverse
Factory.Data.Ring
AGM
1 (Data Constructor)
Factory.Math.Pi
2 (Type/Class)
Factory.Math.ArithmeticGeometricMean
AKS
Factory.Math.Implementations.Primality
Algorithm
1 (Type/Class)
Factory.Math.Implementations.Pi.BBP.Algorithm
2 (Type/Class)
Factory.Math.Implementations.Pi.Spigot.Algorithm
3 (Type/Class)
Factory.Math.Implementations.Pi.AGM.Algorithm
4 (Type/Class)
Factory.Math.Implementations.Factorial
5 (Type/Class)
Factory.Math.Implementations.Pi.Borwein.Algorithm
6 (Type/Class)
Factory.Math.Implementations.Pi.Ramanujan.Algorithm
7 (Type/Class)
Factory.Math.Implementations.SquareRoot
8 (Type/Class)
Factory.Math.Implementations.Primality
9 (Type/Class)
Factory.Math.Implementations.Primes.Algorithm
10 (Type/Class)
Factory.Math.Implementations.PrimeFactorisation
Algorithmic
1 (Type/Class)
Factory.Math.Primes
2 (Type/Class)
Factory.Math.Primality
3 (Type/Class)
Factory.Math.Factorial
4 (Type/Class)
Factory.Math.SquareRoot
5 (Type/Class)
Factory.Math.Pi
6 (Type/Class)
Factory.Math.PrimeFactorisation
areCoincidental
Factory.Math.Hyperoperation
areCongruentModulo
1 (Function)
Factory.Data.QuotientRing
2 (Function)
Factory.Data.Polynomial
areCoprime
Factory.Math.Primality
ArithmeticMean
Factory.Math.ArithmeticGeometricMean
BakhshaliApproximation
Factory.Math.Implementations.SquareRoot
Base
Factory.Math.Hyperoperation
base
Factory.Math.Implementations.Pi.BBP.Series
Base65536
Factory.Math.Implementations.Pi.BBP.Algorithm
baseDenominators
Factory.Math.Implementations.Pi.Spigot.Series
baseNumerators
Factory.Math.Implementations.Pi.Spigot.Series
bases
Factory.Math.Implementations.Pi.Spigot.Series
BBP
Factory.Math.Pi
Bellard
Factory.Math.Implementations.Pi.BBP.Algorithm
Bisection
Factory.Math.Implementations.Factorial
BisectionRatio
Factory.Math.DivideAndConquer
Borwein
Factory.Math.Pi
Borwein1993
Factory.Math.Implementations.Pi.Borwein.Algorithm
boxMullerTransform
Factory.Math.Probability
BrentSalamin
Factory.Math.Implementations.Pi.AGM.Algorithm
carmichaelNumbers
Factory.Math.Primality
Category
Factory.Math.Pi
Chudnovsky
Factory.Math.Implementations.Pi.Ramanujan.Algorithm
Classic
Factory.Math.Implementations.Pi.Ramanujan.Algorithm
closedUnitInterval
Factory.Data.Interval
coefficients
Factory.Math.Implementations.Pi.Spigot.Series
ContinuedFraction
Factory.Math.Implementations.SquareRoot
ContinuousDistribution
Factory.Math.Probability
ConvergenceOrder
Factory.Math.Precision
convergenceOrder
Factory.Math.SquareRoot
ConvergenceRate
Factory.Math.Precision
convergenceRate
1 (Function)
Factory.Math.Implementations.Pi.Borwein.Series
2 (Function)
Factory.Math.Implementations.Pi.Ramanujan.Series
convergeToAGM
Factory.Math.ArithmeticGeometricMean
cube
Factory.Math.Power
cubeRoot
Factory.Math.Power
cubicConvergence
Factory.Math.Precision
decimal
Factory.Math.Implementations.Pi.Spigot.Spigot
DecimalDigits
Factory.Math.Precision
digitalRoot
Factory.Math.Radix
digitSum
Factory.Math.Radix
DiscreteDistribution
Factory.Math.Probability
Distance
Factory.Data.PrimeWheel
Distribution
Factory.Math.Probability
divideAndConquer
Factory.Math.DivideAndConquer
double
Factory.Data.Monomial
elem'
Factory.Data.Interval
Estimate
Factory.Math.SquareRoot
estimateOptimalSize
Factory.Data.PrimeWheel
eulersTotient
Factory.Math.PrimeFactorisation
evaluate
1 (Function)
Factory.Data.Polynomial
2 (Function)
Factory.Data.Exponential
Exponential
Factory.Data.Exponential
ExponentialDistribution
Factory.Math.Probability
exponentiation
Factory.Math.Hyperoperation
factorial
Factory.Math.Factorial
Factors
Factory.Data.PrimeFactors
fallingFactorial
Factory.Math.Implementations.Factorial
FermatsMethod
Factory.Math.Implementations.PrimeFactorisation
fibonacci
Factory.Math.Fibonacci
fromBase
Factory.Math.Radix
generateContinuousPopulation
Factory.Math.Probability
generateDiscretePopulation
Factory.Math.Probability
generateMultiples
Factory.Data.PrimeWheel
generatePopulation
Factory.Math.Probability
generateStandardizedNormalDistribution
Factory.Math.Probability
GeometricMean
Factory.Math.ArithmeticGeometricMean
getAccuracy
Factory.Math.SquareRoot
getArithmeticMean
Factory.Math.ArithmeticGeometricMean
getAverageAbsoluteDeviation
Factory.Math.Statistics
getBase
Factory.Data.Exponential
getCircumference
Factory.Data.PrimeWheel
getCoefficient
Factory.Data.Monomial
getCoefficientOfVariance
Factory.Math.Statistics
getDegree
Factory.Data.Polynomial
getDenominators
Factory.Math.Implementations.Pi.BBP.Series
getDiscrepancy
Factory.Math.SquareRoot
getEstimate
Factory.Math.SquareRoot
getExponent
1 (Function)
Factory.Data.Monomial
2 (Function)
Factory.Data.Exponential
getGeometricMean
Factory.Math.ArithmeticGeometricMean
getIterationsRequired
Factory.Math.Precision
getLeadingTerm
Factory.Data.Polynomial
getMaxBound
Factory.Data.Interval
getMean
1 (Function)
Factory.Math.Probability
2 (Function)
Factory.Math.Statistics
getMinBound
Factory.Data.Interval
getPolynomial
Factory.Data.MonicPolynomial
getPrimeComponents
Factory.Data.PrimeWheel
getSeriesScalingFactor
Factory.Math.Implementations.Pi.Ramanujan.Series
getSpokeCount
Factory.Data.PrimeWheel
getSpokeGaps
Factory.Data.PrimeWheel
getStandardDeviation
1 (Function)
Factory.Math.Probability
2 (Function)
Factory.Math.Statistics
getTermsRequired
Factory.Math.Precision
getVariance
1 (Function)
Factory.Math.Probability
2 (Function)
Factory.Math.Statistics
getWeightedMean
Factory.Math.Statistics
Gosper
Factory.Math.Implementations.Pi.Spigot.Algorithm
HalleysMethod
Factory.Math.Implementations.SquareRoot
hexation
Factory.Math.Hyperoperation
HyperExponent
Factory.Math.Hyperoperation
hyperoperation
Factory.Math.Hyperoperation
inAscendingOrder
Factory.Data.Polynomial
inDescendingOrder
Factory.Data.Polynomial
insert'
Factory.Data.PrimeFactors
Interval
Factory.Data.Interval
invert
Factory.Data.Exponential
isCarmichaelNumber
Factory.Math.Primality
isDivisibleBy
Factory.Data.QuotientRing
isFermatWitness
Factory.Math.Primality
isMonic
Factory.Data.Polynomial
isMonomial
1 (Function)
Factory.Data.Monomial
2 (Function)
Factory.Data.Polynomial
isNormalised
Factory.Data.Polynomial
isPerfectPower
Factory.Math.PerfectPower
isPolynomial
Factory.Data.Polynomial
isPrecise
Factory.Math.SquareRoot
isPrime
Factory.Math.Primality
isReversed
Factory.Data.Interval
isValid
Factory.Math.ArithmeticGeometricMean
isZero
Factory.Data.Polynomial
Iterator
Factory.Math.SquareRoot
lift
Factory.Data.Polynomial
linearConvergence
Factory.Math.Precision
LogNormalDistribution
Factory.Math.Probability
maxBoundPrimeFactor
Factory.Math.PrimeFactorisation
maxPreciseInteger
Factory.Math.Probability
maybeSquareNumber
Factory.Math.PerfectPower
mersenneNumbers
Factory.Math.Primes
MillerRabin
Factory.Math.Implementations.Primality
MinLength
Factory.Math.DivideAndConquer
mkBounded
Factory.Data.Interval
mkConstant
Factory.Data.Polynomial
mkLinear
Factory.Data.Polynomial
mkMonicPolynomial
Factory.Data.MonicPolynomial
mkPolynomial
Factory.Data.Polynomial
mkPrimeWheel
Factory.Data.PrimeWheel
MkSeries
1 (Data Constructor)
Factory.Math.Implementations.Pi.BBP.Series
2 (Data Constructor)
Factory.Math.Implementations.Pi.Borwein.Series
3 (Data Constructor)
Factory.Math.Implementations.Pi.Ramanujan.Series
4 (Data Constructor)
Factory.Math.Implementations.Pi.Spigot.Series
mod'
1 (Function)
Factory.Data.Monomial
2 (Function)
Factory.Data.Polynomial
MonicPolynomial
Factory.Data.MonicPolynomial
Monomial
Factory.Data.Monomial
multiplication
Factory.Math.Hyperoperation
multiplicativeIdentity
Factory.Data.Ring
multiplicativeOrder
Factory.Math.MultiplicativeOrder
nCr
Factory.Math.Statistics
negateCoefficient
Factory.Data.Monomial
NewtonRaphsonIteration
Factory.Math.Implementations.SquareRoot
NormalDistribution
Factory.Math.Probability
normalise
1 (Function)
Factory.Data.Polynomial
2 (Function)
Factory.Data.Interval
nPr
Factory.Math.Statistics
NPrimes
Factory.Data.PrimeWheel
nTerms
Factory.Math.Implementations.Pi.Spigot.Series
numerators
Factory.Math.Implementations.Pi.BBP.Series
omega
Factory.Math.PrimeFactorisation
one
Factory.Data.Polynomial
openI
1 (Function)
Factory.Math.Pi
2 (Function)
Factory.Math.Implementations.Pi.Spigot.Spigot
openR
1 (Function)
Factory.Math.Pi
2 (Function)
Factory.Math.Implementations.Pi.BBP.Implementation
3 (Function)
Factory.Math.Implementations.Pi.Borwein.Implementation
4 (Function)
Factory.Math.Implementations.Pi.Ramanujan.Implementation
5 (Function)
Factory.Math.Implementations.Pi.AGM.BrentSalamin
openS
Factory.Math.Pi
pentation
Factory.Math.Hyperoperation
PoissonDistribution
Factory.Math.Probability
Polynomial
Factory.Data.Polynomial
powerSmoothness
Factory.Math.PrimeFactorisation
powerTower
Factory.Math.Hyperoperation
precisely
Factory.Data.Interval
PrimeFactorisation
Factory.Math.Implementations.Factorial
primeFactors
1 (Function)
Factory.Math.Implementations.Factorial
2 (Function)
Factory.Math.PrimeFactorisation
primeIndexedFibonacci
Factory.Math.Fibonacci
PrimeMultiples
Factory.Data.PrimeWheel
primePowerTotient
Factory.Math.PrimeFactorisation
primes
Factory.Math.Primes
PrimeWheel
Factory.Data.PrimeWheel
primorial
Factory.Math.Primes
product'
1 (Function)
Factory.Math.DivideAndConquer
2 (Function)
Factory.Data.Ring
3 (Function)
Factory.Data.Interval
4 (Function)
Factory.Data.PrimeFactors
promote
Factory.Math.Precision
quadraticConvergence
Factory.Math.Precision
quarticConvergence
Factory.Math.Precision
quot'
Factory.Data.QuotientRing
QuotientRing
Factory.Data.QuotientRing
quotRem'
Factory.Data.QuotientRing
RabinowitzWagon
Factory.Math.Implementations.Pi.Spigot.Algorithm
raiseModulo
1 (Function)
Factory.Math.Power
2 (Function)
Factory.Data.Polynomial
Ramanujan
Factory.Math.Pi
realCoefficientsToFrac
Factory.Data.Polynomial
realCoefficientToFrac
Factory.Data.Monomial
reduce
Factory.Data.PrimeFactors
regularNumbers
Factory.Math.PrimeFactorisation
rem'
Factory.Data.QuotientRing
Result
Factory.Math.SquareRoot
rightIdentity
Factory.Data.Exponential
Ring
Factory.Data.Ring
risingFactorial
Factory.Math.Implementations.Factorial
roll
Factory.Data.PrimeWheel
rotate
Factory.Data.PrimeWheel
roundTo
Factory.Math.Precision
Series
1 (Type/Class)
Factory.Math.Implementations.Pi.BBP.Series
2 (Type/Class)
Factory.Math.Implementations.Pi.Borwein.Series
3 (Type/Class)
Factory.Math.Implementations.Pi.Ramanujan.Series
4 (Type/Class)
Factory.Math.Implementations.Pi.Spigot.Series
series
1 (Function)
Factory.Math.Implementations.Pi.BBP.Bellard
2 (Function)
Factory.Math.Implementations.Pi.BBP.Base65536
3 (Function)
Factory.Math.Implementations.Pi.Spigot.Gosper
4 (Function)
Factory.Math.Implementations.Pi.Spigot.RabinowitzWagon
5 (Function)
Factory.Math.Implementations.Pi.Borwein.Borwein1993
6 (Function)
Factory.Math.Implementations.Pi.Ramanujan.Chudnovsky
7 (Function)
Factory.Math.Implementations.Pi.Ramanujan.Classic
seriesScalingFactor
Factory.Math.Implementations.Pi.BBP.Series
shift
Factory.Data.Interval
shiftCoefficient
Factory.Data.Monomial
ShiftedGeometricDistribution
Factory.Math.Probability
shiftExponent
Factory.Data.Monomial
SieveOfAtkin
Factory.Math.Implementations.Primes.Algorithm
sieveOfAtkin
Factory.Math.Implementations.Primes.SieveOfAtkin
SieveOfEratosthenes
Factory.Math.Implementations.Primes.Algorithm
sieveOfEratosthenes
Factory.Math.Implementations.Primes.SieveOfEratosthenes
simplify
Factory.Math.Precision
smoothness
Factory.Math.PrimeFactorisation
Spigot
Factory.Math.Pi
splitAt'
Factory.Data.Interval
spread
Factory.Math.ArithmeticGeometricMean
square
1 (Function)
Factory.Math.Power
2 (Function)
Factory.Data.Ring
3 (Function)
Factory.Data.Monomial
squareFree
Factory.Math.PrimeFactorisation
squareRoot
Factory.Math.SquareRoot
squareRootFrom
Factory.Math.SquareRoot
squaresFrom
Factory.Math.Power
step
Factory.Math.SquareRoot
succession
Factory.Math.Hyperoperation
sum'
1 (Function)
Factory.Math.Summation
2 (Function)
Factory.Math.DivideAndConquer
3 (Function)
Factory.Data.Ring
sumR
Factory.Math.Summation
sumR'
Factory.Math.Summation
TaylorSeries
Factory.Math.Implementations.SquareRoot
Terms
Factory.Math.Implementations.SquareRoot
terms
1 (Function)
Factory.Math.Implementations.Pi.Borwein.Series
2 (Function)
Factory.Math.Implementations.Pi.Ramanujan.Series
3 (Function)
Factory.Data.Polynomial
tetration
Factory.Math.Hyperoperation
toBase
Factory.Math.Radix
toList
Factory.Data.Interval
TrialDivision
1 (Data Constructor)
Factory.Math.Implementations.Primes.Algorithm
2 (Data Constructor)
Factory.Math.Implementations.PrimeFactorisation
trialDivision
Factory.Math.Implementations.Primes.TrialDivision
TurnersSieve
Factory.Math.Implementations.Primes.Algorithm
turnersSieve
Factory.Math.Implementations.Primes.TurnersSieve
UniformDistribution
Factory.Math.Probability
WheelSieve
Factory.Math.Implementations.Primes.Algorithm
zero
Factory.Data.Polynomial