Index (org.matheclipse:matheclipse-gpl 3.0.0 API)

A B C D E F G H I J K L M N O P Q R S T U V W X Z
All Classes All Packages

A

a - Variable in class de.tilman_neumann.jml.gcd.EEA31.Result: if g==1 then a = (1/x) mod y
a - Variable in class de.tilman_neumann.jml.gcd.EEA63.Result: if g==1 then a = (1/x) mod y
abs() - Method in class de.tilman_neumann.jml.base.BigRational
absStirling1(int, int) - Static method in class de.tilman_neumann.jml.combinatorics.Stirling: Absolute Stirling numbers of the first kind.
absSum(Collection<BigInteger>) - Static method in class de.tilman_neumann.jml.base.BigIntCollectionUtil
accessStats() - Method in class de.tilman_neumann.jml.partitions.MpiPowerMap
acosh1(BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.hyperbolic.ArcCosH: Computes the "++" branch of acosh(x) = + ln(x + sqrt(x^2-1)).
acoshAbs(BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.hyperbolic.ArcCosH: The absolute value of acosh(x) implemented by ln() formula.
acoth(BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.hyperbolic.ArcCotH: acoth(x) implemented by ln() formula.
add(int) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet: Add a single element x to this index set.
add(int) - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray: Add a factor.
add(int) - Method in class de.tilman_neumann.jml.precision.Precision
add(int) - Method in class de.tilman_neumann.jml.precision.Scale
add(int, short) - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray: Add a factor to the given power.
add(long) - Method in class de.tilman_neumann.jml.factor.base.SortedLongArray: Add a factor.
add(BigRational) - Method in class de.tilman_neumann.jml.base.BigRational: Computes the sum of this and the argument.
add(Uint128) - Method in class de.tilman_neumann.jml.base.Uint128: Add two unsigned 128 bit integers.
add(AQPair) - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector: Add a new elementary partial or smooth congruence.
add(PolyReport) - Method in class de.tilman_neumann.jml.factor.siqs.poly.PolyReport: Add two reports.
add(SieveReport) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SieveReport: Add two reports.
add(TDivReport) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDivReport: Add two reports.
add(BigDecimal, BigRational, Scale) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Computes the sum of a and b accurate to the given resultScale.
Scale is the natural accuracy measure for additions because for each argument, each piece of it (bit, digit, ...) makes its own independent contribution to the result scale.
add(BigDecimal, BigInteger) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath
add(List<U>) - Method in class de.tilman_neumann.jml.base.NumberGrid: Adds a new row of numbers to this grid.
add(T) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
add(T) - Method in class de.tilman_neumann.util.SortedList: Insert the new object at the position given by the Comparator.
add(T, int) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
add_getHigh(Uint128) - Method in class de.tilman_neumann.jml.base.Uint128: Compute the sum of this and other, return the high part.
add_v1(Uint128) - Method in class de.tilman_neumann.jml.base.Uint128: Add two unsigned 128 bit integers.
addAll(Collection<? extends T>) - Method in class de.tilman_neumann.util.SortedList: Insert the new objects at the position given by the Comparator.
addAll(Collection<T>) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
addAll(Multiset<T>) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
addAll(T[]) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
addMyAQPairsViaXor(Set<AQPair>) - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Composite
addMyAQPairsViaXor(Set<AQPair>) - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Simple
addMyAQPairsViaXor(Set<AQPair>) - Method in interface de.tilman_neumann.jml.factor.base.congruence.Smooth: Add this's AQPairs to the target set via xor.
addPowers(BigInteger, int[], int[], byte[], double[], long[], int, SieveParams) - Method in class de.tilman_neumann.jml.factor.siqs.powers.NoPowerFinder
addPowers(BigInteger, int[], int[], byte[], double[], long[], int, SieveParams) - Method in interface de.tilman_neumann.jml.factor.siqs.powers.PowerFinder: Find powers and add them to the prime base.
addPowers(BigInteger, int[], int[], byte[], double[], long[], int, SieveParams) - Method in class de.tilman_neumann.jml.factor.siqs.powers.SomePowerFinder
addRow(ArrayList<BigInteger>) - Method in class de.tilman_neumann.jml.base.BigIntTriangle
addSmooth(Smooth) - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector: Add smooth congruence.
addXor(IndexSet) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet
addXor(MatrixRow) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixRow: Combine this and other in Z_2, modifying this.
agm(BigDecimal, BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.transcendental.Agm: Arithmetic-geometric mean of a and b.
Agm - Class in de.tilman_neumann.jml.transcendental
Agm() - Constructor for class de.tilman_neumann.jml.transcendental.Agm
allocateMemory(long) - Static method in class de.tilman_neumann.jml.factor.base.UnsafeUtil: Allocate a native memory block.
AllPowerFinder - Class in de.tilman_neumann.jml.factor.siqs.powers: Algorithm that finds all powers in [pMin, pMax].
AllPowerFinder() - Constructor for class de.tilman_neumann.jml.factor.siqs.powers.AllPowerFinder
AnalysisOptions - Interface in de.tilman_neumann.jml.factor.base: Factoring analysis settings.
ANALYZE - Static variable in interface de.tilman_neumann.jml.factor.base.AnalysisOptions: Basic analysis includes number of polynomials, number of smooth and partial relations (also by large factor counts), trials division results, solver runs and tested null-vectors, and sub-phase timings.
ANALYZE - Static variable in interface de.tilman_neumann.jml.factor.base.GlobalFactoringOptions: Basic analysis of timings and operations.
ANALYZE_LARGE_FACTOR_SIZES - Static variable in interface de.tilman_neumann.jml.factor.base.AnalysisOptions: A switch to additionally turn on analysis of the size of large factors that yield smooth relations.
ANALYZE_LARGE_FACTOR_SIZES - Static variable in interface de.tilman_neumann.jml.factor.base.GlobalFactoringOptions: A switch to additionally turn on analysis of the size of large factors that yield smooth relations.
ANALYZE_Q_SIGNS - Static variable in interface de.tilman_neumann.jml.factor.base.AnalysisOptions: A switch to additionally turn on analysis of the number of Q-values with positive and negative sign.
ANALYZE_Q_SIGNS - Static variable in interface de.tilman_neumann.jml.factor.base.GlobalFactoringOptions: A switch to additionally turn on analysis of the number of Q-values with positive and negative sign.
and(long) - Method in class de.tilman_neumann.jml.base.Uint128: Bitwise "and" operation with a long.
AParamGenerator - Interface in de.tilman_neumann.jml.factor.siqs.poly: Interface for generators that produce the leading coefficient a of the quadratic polynomial Q(x) = (d*a*x+b)^2 - kN used by SIQS.
AParamGenerator01 - Class in de.tilman_neumann.jml.factor.siqs.poly: Generator for the a-parameter (or "hypercube"), which is the leading coefficient of the quadratic polynomial Q(x) = (d*a*x+b)^2 - kN used by SIQS.
AParamGenerator01(Integer) - Constructor for class de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator01: Full constructor.
apg - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
applyTo(BigDecimal) - Method in class de.tilman_neumann.jml.precision.Precision: Reduces the relative precision of x to this, or leaves it as it is if x already has a smaller precision.
applyTo(BigDecimal) - Method in class de.tilman_neumann.jml.precision.Scale
AQPair - Class in de.tilman_neumann.jml.factor.base.congruence: An elementary smooth or partially smooth congruence A^2 == Q (mod N).
AQPair(BigInteger, SortedIntegerArray) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.AQPair: Full constructor.
AQPairFactory - Class in de.tilman_neumann.jml.factor.base.congruence: Creates an elementary congruence of the subclass appropriate for the given large factors.
AQPairFactory() - Constructor for class de.tilman_neumann.jml.factor.base.congruence.AQPairFactory
ArcCosH - Class in de.tilman_neumann.jml.hyperbolic: Inverse hyperbolic cosinus function.
ArcCosH() - Constructor for class de.tilman_neumann.jml.hyperbolic.ArcCosH
ArcCotH - Class in de.tilman_neumann.jml.hyperbolic: Inverse hyperbolic cotangens function.
ArcCotH() - Constructor for class de.tilman_neumann.jml.hyperbolic.ArcCotH
ArcSinH - Class in de.tilman_neumann.jml.hyperbolic: Inverse hyperbolic sinus function.
ArcSinH() - Constructor for class de.tilman_neumann.jml.hyperbolic.ArcSinH
ArcTanH - Class in de.tilman_neumann.jml.hyperbolic: Inverse hyperbolic tangens function.
ArcTanH() - Constructor for class de.tilman_neumann.jml.hyperbolic.ArcTanH
array - Variable in class de.tilman_neumann.jml.primes.exact.CollectingCallback
ASCENDING - de.tilman_neumann.util.SortOrder: Ascending order.
asinh(BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.hyperbolic.ArcSinH: y = asinh(x) implemented by ln() formula, for all real x.
at(int) - Method in class de.tilman_neumann.jml.base.BigIntPoly: Retrieve a polynomial coefficient.
atanh(BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.hyperbolic.ArcTanH: atanh(x) implemented by ln() formula.
AutoExpandingPrimesArray - Class in de.tilman_neumann.jml.primes.exact: An auto-expanding facade for the segmented sieve of Eratosthenes.
AutoExpandingPrimesArray() - Constructor for class de.tilman_neumann.jml.primes.exact.AutoExpandingPrimesArray
auxFactorizer - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
Axler_1_1(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Axler, https://arxiv.org/pdf/1409.1780.pdf, Theorem 1.1: pi(x) < x/ln(x) + x/ln^2(x) + 2*x/ln^3(x) + 6.35*x/ln^4(x) + 24.35*x/ln^5(x) + 121.75*x/ln^6(x) + 730.5*x(ln^7(x) + 6801.4*x/ln^8(x) for x>1.
Axler_1_3(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Axler, https://arxiv.org/pdf/1409.1780.pdf, Theorem 1.3: pi(x) < x / [ln(x) - 1 - 1/ln(x) - 3.35/ln^2(x) - 12.65/ln^3(x) - 71.7/ln^4(x) - 466.1275/ln^5(x) - 3489.8225/ln^6(x)], for x > e^3.804.
Axler_3_5a(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Axler, https://arxiv.org/pdf/1409.1780.pdf, Corollary 3.5a: pi(x) < x / [ln(x) - 1 - 1/ln(x) - 3.35/ln^2(x) - 12.65/ln^3(x) - 89.6/ln^4(x)] for x >= 21.95.
Axler_3_5b(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Axler, https://arxiv.org/pdf/1409.1780.pdf, Corollary 3.5b: pi(x) < x / [ln(x) - 1 - 1/ln(x) - 3.35/ln^2(x) - 15.43/ln^3(x)] for x >= 14.36.
Axler_3_5c(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Axler, https://arxiv.org/pdf/1409.1780.pdf, Corollary 3.5c: pi(x) < x / [ln(x) - 1 - 1/ln(x) - 3.83/ln^2(x)] for x >= 9.25.
Axler_3_5d(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Axler, https://arxiv.org/pdf/1409.1780.pdf, Corollary 3.5d: pi(x) < x / [ln(x) - 1 - 1.17/ln(x)]
Works for x >= 2.634.800.823 and then it is the best bound for x < 6.200.000.000 approximately.
Axler2013(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Axler 2013 page viii Korollar G for n >= 8009824.

B

b - Variable in class de.tilman_neumann.jml.gcd.EEA31.Result: if g==1 then b = (1/y) mod x
b - Variable in class de.tilman_neumann.jml.gcd.EEA63.Result: if g==1 then b = (1/y) mod x
base - Variable in class de.tilman_neumann.jml.powers.PurePowerTest.Result
BaseArrays - Class in de.tilman_neumann.jml.factor.siqs.data: Passive data structure bundling primes/powers, modular sqrts and logP-values.
BaseArrays(int) - Constructor for class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: Constructor allocating all arrays.
BaseArrays(int[], int[], int[], int[], byte[], double[], long[]) - Constructor for class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: Constructor setting all arrays.
BaseFilter - Interface in de.tilman_neumann.jml.factor.siqs.poly.baseFilter: Interface for the step filtering some elements out off the (prime/power) base.
BaseFilter_q1 - Class in de.tilman_neumann.jml.factor.siqs.poly.baseFilter: BaseFilter that removes the q-values of the a-parameter and their powers from the base to sieve with.
BaseFilter_q1() - Constructor for class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_q1
BaseFilter_q2 - Class in de.tilman_neumann.jml.factor.siqs.poly.baseFilter: Alternative implementation of a BaseFilter that removes the q-values of the a-parameter and their powers from the base to sieve with.
BaseFilter_q2() - Constructor for class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_q2
BaseFilter_qk - Class in de.tilman_neumann.jml.factor.siqs.poly.baseFilter: BaseFilter that removes the q-values of the a-parameter and their powers from the base to sieve with, plus the p that divide k and their powers.
BaseFilter_qk() - Constructor for class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_qk
BaseFilter.Result - Class in de.tilman_neumann.jml.factor.siqs.poly.baseFilter: Filtering results.
BatchFactorizer - Class in de.tilman_neumann.jml.factor: Factor all entries from a batch file.
BatchFactorizer() - Constructor for class de.tilman_neumann.jml.factor.BatchFactorizer
BigDecimalConstants - Class in de.tilman_neumann.jml.base
BigDecimalConstants() - Constructor for class de.tilman_neumann.jml.base.BigDecimalConstants
BigDecimalMath - Class in de.tilman_neumann.jml.base: Basic BigDecimal arithmetics.
BigIntCollectionUtil - Class in de.tilman_neumann.jml.base: Utility methods for collections of BigIntegers.
BigIntCollectionUtil() - Constructor for class de.tilman_neumann.jml.base.BigIntCollectionUtil
BigIntConstants - Class in de.tilman_neumann.jml.base
BigIntConstants() - Constructor for class de.tilman_neumann.jml.base.BigIntConstants
BigIntConverter - Class in de.tilman_neumann.jml.base: Conversion from doubles to BigInteger with minimal precision loss and no need of slow BigDecimal.
BigIntConverter() - Constructor for class de.tilman_neumann.jml.base.BigIntConverter
BigIntegerPrimality - Class in org.matheclipse.gpl.numbertheory: Provides primality probabilistic methods for BigInteger numbers
BigIntegerPrimality() - Constructor for class org.matheclipse.gpl.numbertheory.BigIntegerPrimality
BigIntGrid - Class in de.tilman_neumann.jml.base: A two-dimensional grid of big integers.
BigIntGrid(String, int, int, String, int, int) - Constructor for class de.tilman_neumann.jml.base.BigIntGrid: Full constructor with all options.
BigIntGrid(String, int, String, int) - Constructor for class de.tilman_neumann.jml.base.BigIntGrid: Simplified constructor with offsets 1.
BigIntPoly - Class in de.tilman_neumann.jml.base: A simple integer polynomial implementation, once inspired by http://www.strw.leidenuniv.nl/~mathar/progs/FI/oeis_8java.html (now dead link, sorry)
BigIntPoly(int) - Constructor for class de.tilman_neumann.jml.base.BigIntPoly: Constructor for an empty polynomial with initial capacity n.
BigIntTriangle - Class in de.tilman_neumann.jml.base: A triangle of integers.
BigIntTriangle() - Constructor for class de.tilman_neumann.jml.base.BigIntTriangle: Create a triangle without data.
BigIntTriangle(int, BigInteger) - Constructor for class de.tilman_neumann.jml.base.BigIntTriangle: Creates an initialized number triangle with n rows.
BigRational - Class in de.tilman_neumann.jml.base: Big rational numbers with exact arithmetics.
BigRational(BigInteger) - Constructor for class de.tilman_neumann.jml.base.BigRational: Constructor for an integer.
BigRational(BigInteger, BigInteger) - Constructor for class de.tilman_neumann.jml.base.BigRational: Constructor for a rational number.
BinarySearch - Class in de.tilman_neumann.jml: Binary search in bottom-up sorted integer arrays.
BinarySearch() - Constructor for class de.tilman_neumann.jml.BinarySearch
binaryToDecimal(int) - Static method in class de.tilman_neumann.jml.precision.Magnitude: Compute the number of decimal digits analogous to the specified number of binary digits.
binomial(int, int) - Static method in class de.tilman_neumann.jml.combinatorics.Binomial: Returns the binomial coefficient C(n, k).
Binomial - Class in de.tilman_neumann.jml.combinatorics: Implementation of the binomial coefficient.
Binomial() - Constructor for class de.tilman_neumann.jml.combinatorics.Binomial
bitLength() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
bitsOf(BigInteger) - Static method in class de.tilman_neumann.jml.precision.Magnitude: Gives the size of absolute |n| in bits: 0 for 0, 1 for +-1, 2 for +-2, 2 for +-3, 3 for +-4, ...
BlockLanczos - Class in de.tilman_neumann.jml.factor.base.matrixSolver: Block-Lanczos matrix solver by Dario Alejandro Alpern.
BlockLanczos() - Constructor for class de.tilman_neumann.jml.factor.base.matrixSolver.BlockLanczos
BlockSieveUtil - Class in de.tilman_neumann.jml.factor.siqs.sieve
BlockSieveUtil() - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.BlockSieveUtil
BParamTest - Class in de.tilman_neumann.jml.factor.siqs.poly: A test of the b-computation numbers reported by [Contini, p.10]
BParamTest() - Constructor for class de.tilman_neumann.jml.factor.siqs.poly.BParamTest
BPSWTest - Class in de.tilman_neumann.jml.primes.probable: BPSW probable prime test.
BPSWTest() - Constructor for class de.tilman_neumann.jml.primes.probable.BPSWTest
Bsqrt(BigInteger) - Static method in class de.tilman_neumann.jml.primes.exact.SSOZJ
byteValue() - Method in class de.tilman_neumann.jml.base.BigRational

C

CANEntry - Class in de.tilman_neumann.jml.smooth: A colossally abundant number (CAN), together with some information that was necessary to compute it.
CANIterator - Class in de.tilman_neumann.jml.smooth: Iterator for colossally abundant numbers 2,6,12,...
CANIterator() - Constructor for class de.tilman_neumann.jml.smooth.CANIterator
capture() - Method in class de.tilman_neumann.util.Timer
ceilInt() - Method in class de.tilman_neumann.jml.base.BigRational
ceilInt(BigDecimal) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Returns ceil(x) as a big integer.
CFrac - Class in de.tilman_neumann.jml.factor.cfrac: CFrac = Shanks' SQUFOF algorithm + carry along continuant recurrence + collect smooth relations + LinAlg solver.

The original CFrac was implemented by Morrison&Brillhart intending to factor the 7.th Fermat number F7 with 39 digits (~130 bits).
CFrac(boolean, int, float, float, float, TDiv_CF, int, MatrixSolver, int) - Constructor for class de.tilman_neumann.jml.factor.cfrac.CFrac: Standard constructor.
CFrac63 - Class in de.tilman_neumann.jml.factor.cfrac: 63 bit CFrac with Knuth-Schroeppel multiplier.
CFrac63(boolean, int, float, float, float, TDiv_CF63, int, MatrixSolver, int) - Constructor for class de.tilman_neumann.jml.factor.cfrac.CFrac63: Standard constructor.
ChebyshevPolynomials - Class in de.tilman_neumann.jml: Computation of values of the Chebyshev polynomials.
ChebyshevPolynomials() - Constructor for class de.tilman_neumann.jml.ChebyshevPolynomials
ChebyshevT(int, BigDecimal) - Static method in class de.tilman_neumann.jml.ChebyshevPolynomials: Recurrent computation of Chebyshev polynomials of the first kind.
ChebyshevU(int, BigDecimal) - Static method in class de.tilman_neumann.jml.ChebyshevPolynomials: Recurrent computation of Chebyshev polynomials of the second kind.
cleanUp() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector: Release memory after a factorization.
cleanUp() - Method in class de.tilman_neumann.jml.factor.base.congruence.PartialSolver: Release memory after a factorization.
cleanUp() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver: Release memory after a factorization.
cleanUp() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
cleanUp() - Method in interface de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator: Release memory after a factorization.
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator01
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.poly.SIQSPolyGenerator: Release memory after a factorization.
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieve
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieveU
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockSieve
cleanUp() - Method in interface de.tilman_neumann.jml.factor.siqs.sieve.Sieve: Release memory after a factorization.
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03g
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03gU
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SimpleSieve
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieve
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieveU
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieve
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieveU
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.SIQS_Small: Clean up after a factorization of N.
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.SIQS
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large_UBI
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI_BarrettD
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge_UBI
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge
cleanUp() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_Small
cleanUp() - Method in interface de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS: Release memory after a factorization.
Cmult - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
CollatzSequenceTest - Class in de.tilman_neumann.jml: Test Collatz or 3n+1 problem.
CollatzSequenceTest() - Constructor for class de.tilman_neumann.jml.CollatzSequenceTest
collectAndProcessAQPairs(List<AQPair>) - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorParallel: Collect AQ pairs and run the matrix solver if appropriate.
CollectingCallback - Class in de.tilman_neumann.jml.primes.exact
CollectingCallback(int) - Constructor for class de.tilman_neumann.jml.primes.exact.CollectingCallback
CombinedFactorAlgorithm - Class in de.tilman_neumann.jml.factor: Final combination of factor algorithms.
CombinedFactorAlgorithm(int) - Constructor for class de.tilman_neumann.jml.factor.CombinedFactorAlgorithm: Simple constructor, computing the amount of trial division automatically and using PSIQS with sun.misc.Unsafe features.
CombinedFactorAlgorithm(int, Integer, boolean) - Constructor for class de.tilman_neumann.jml.factor.CombinedFactorAlgorithm: Full constructor.
combinedUpperBound(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Computes an upper bound for p(n) given n.
combinedUpperBound(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Computes an upper bound for the prime counting function pi(x) := number of primes in (0, x].
compare(BigDecimal, BigInteger) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath
compareTo(BigRational) - Method in class de.tilman_neumann.jml.base.BigRational
compareTo(PowerEntry) - Method in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
compareTo(Mpi) - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
compareTo(Mpi) - Method in interface de.tilman_neumann.jml.partitions.Mpi: Compare this with another multipartite integer.
compareTo(Precision) - Method in class de.tilman_neumann.jml.precision.Precision
compareTo(Scale) - Method in class de.tilman_neumann.jml.precision.Scale
compareTo(BigInteger) - Method in class de.tilman_neumann.jml.base.BigRational
complement(Mpi) - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
complement(Mpi) - Method in interface de.tilman_neumann.jml.partitions.Mpi: Like subtract() but when we know that other fits piece-wise into this.
compositeFactors - Variable in class de.tilman_neumann.jml.factor.base.FactorResult: factors that are certainly composite
computeAll(int, int) - Method in class de.tilman_neumann.jml.gcd.EEA31: Computes gcd, a = (1/x) mod y and b = (1/y) mod x.
computeAll(long, long) - Method in class de.tilman_neumann.jml.gcd.EEA63: Computes gcd, a = (1/x) mod y and b = (1/y) mod x.
computeBestBlockCount(int, int) - Static method in class de.tilman_neumann.jml.factor.siqs.sieve.BlockSieveUtil
computeBlockLanczos(int[][], int) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.BlockLanczos: Block-Lanczos matrix solver.
computeCAN(double) - Static method in class de.tilman_neumann.jml.smooth.CANEntry: Compute CAN(epsilon), where epsilon is a positive real number.
computeHalf(int, int) - Method in class de.tilman_neumann.jml.gcd.EEA31: Computes only gcd and a = (1/x) mod y.
computeHalf(long, long) - Method in class de.tilman_neumann.jml.gcd.EEA63: Computes only gcd and a = (1/x) mod y.
computeMaxCurvesForN(BigInteger) - Static method in class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethod
computeMultiplier(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.KnuthSchroeppel: Compute Knuth-Schroeppel multiplier k for N.
computeMultiplier(BigInteger, int) - Method in class de.tilman_neumann.jml.factor.cfrac.KnuthSchroeppel_CFrac
computeNextAParameter() - Method in interface de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator
computeNextAParameter() - Method in class de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator01
computeReducedPrimeBase(BigInteger, int, int[]) - Method in class de.tilman_neumann.jml.factor.base.PrimeBaseGenerator: Compute a reduced prime base containing the 2 and odd primes p with Jacobi(kN|p)>=0
computeSHCN(double) - Static method in class de.tilman_neumann.jml.smooth.SHCNEntry: Compute SHCN(x), where x is a positive real number.
computeTArray(int[], int, BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.ModularSqrtsEngine: For all primes p in the prime base, find the modular sqrt's of kN (mod p), i.e.
CONF_ROOT - Static variable in class de.tilman_neumann.util.ConfigUtil: The base folder for all configuration files in this project.
ConfigUtil - Class in de.tilman_neumann.util: Global configuration tasks.
CongruenceCollector - Class in de.tilman_neumann.jml.factor.base.congruence: Collects smooth and partial congruences, and assembles partials to smooth congruences on-the-fly.
CongruenceCollector() - Constructor for class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector
CongruenceCollectorParallel - Class in de.tilman_neumann.jml.factor.base.congruence: Collects smooth and partial congruences, and assembles partials to smooth congruences on-the-fly.
CongruenceCollectorParallel(int) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorParallel
CongruenceCollectorReport - Class in de.tilman_neumann.jml.factor.base.congruence
CongruenceCollectorReport(int, int, int[], int[], int, Multiset<Integer>, Multiset<Integer>, int, int) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorReport
contains(Object) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet
copyExponents() - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray
copyExponents() - Method in class de.tilman_neumann.jml.factor.base.SortedLongArray
copyFactors() - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray
copyFactors() - Method in class de.tilman_neumann.jml.factor.base.SortedLongArray
count - Variable in class de.tilman_neumann.jml.primes.exact.CollectingCallback
COUNT_CYCLES - Static variable in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector
countIndependentCycles(Partial) - Method in class de.tilman_neumann.jml.factor.base.congruence.CycleFinder: Counts the number of independent cycles in the partial relations following [LM94], [LLDMW02].
CountingCallback - Class in de.tilman_neumann.jml.primes.exact: Simple callback just counting the primes coming in.
CountingCallback() - Constructor for class de.tilman_neumann.jml.primes.exact.CountingCallback
create(Mpi) - Static method in class de.tilman_neumann.jml.partitions.MpiPowerMap
create(BigInteger, SortedIntegerArray, SortedLongArray) - Method in class de.tilman_neumann.jml.factor.base.congruence.AQPairFactory
createFactor2ColumnIndexMap(Map<Integer, ArrayList<Smooth>>) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver: Create a map from odd-exp-elements to matrix column indices.
createFactor2ColumnIndexMap(Map<Long, ArrayList<Partial>>) - Method in class de.tilman_neumann.jml.factor.base.congruence.PartialSolver: Create a map from factors appearing with odd exponent to matrix column indices.
createFrom(SortedMultiset<BigInteger>) - Static method in class de.tilman_neumann.jml.partitions.PrimePowers_DefaultImpl: Constructor from a multiset of primes.
createThread(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, AParamGenerator, CongruenceCollectorParallel, int) - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQS_SBH_U
createThread(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, AParamGenerator, CongruenceCollectorParallel, int) - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQS_U
createThread(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, AParamGenerator, CongruenceCollectorParallel, int) - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQS
createThread(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, AParamGenerator, CongruenceCollectorParallel, int) - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
curve - Variable in class de.tilman_neumann.jml.factor.ecm.TinyEcm63.EcmResult
curve - Variable in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontInline.EcmResult
curve - Variable in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr.EcmResult
curve - Variable in class de.tilman_neumann.jml.factor.ecm.TinyEcm64.EcmResult
CycleFinder - Class in de.tilman_neumann.jml.factor.base.congruence: Algorithms to count and find independent cycles in partial relations containing partials with 2 or 3 large primes.
CycleFinder(int) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.CycleFinder: Full constructor.

D

de.tilman_neumann.jml - package de.tilman_neumann.jml
de.tilman_neumann.jml.base - package de.tilman_neumann.jml.base
de.tilman_neumann.jml.combinatorics - package de.tilman_neumann.jml.combinatorics
de.tilman_neumann.jml.factor - package de.tilman_neumann.jml.factor
de.tilman_neumann.jml.factor.base - package de.tilman_neumann.jml.factor.base
de.tilman_neumann.jml.factor.base.congruence - package de.tilman_neumann.jml.factor.base.congruence
de.tilman_neumann.jml.factor.base.matrixSolver - package de.tilman_neumann.jml.factor.base.matrixSolver
de.tilman_neumann.jml.factor.cfrac - package de.tilman_neumann.jml.factor.cfrac
de.tilman_neumann.jml.factor.cfrac.tdiv - package de.tilman_neumann.jml.factor.cfrac.tdiv
de.tilman_neumann.jml.factor.ecm - package de.tilman_neumann.jml.factor.ecm
de.tilman_neumann.jml.factor.hart - package de.tilman_neumann.jml.factor.hart
de.tilman_neumann.jml.factor.lehman - package de.tilman_neumann.jml.factor.lehman
de.tilman_neumann.jml.factor.pollardRho - package de.tilman_neumann.jml.factor.pollardRho
de.tilman_neumann.jml.factor.psiqs - package de.tilman_neumann.jml.factor.psiqs
de.tilman_neumann.jml.factor.siqs - package de.tilman_neumann.jml.factor.siqs
de.tilman_neumann.jml.factor.siqs.data - package de.tilman_neumann.jml.factor.siqs.data
de.tilman_neumann.jml.factor.siqs.poly - package de.tilman_neumann.jml.factor.siqs.poly
de.tilman_neumann.jml.factor.siqs.poly.baseFilter - package de.tilman_neumann.jml.factor.siqs.poly.baseFilter
de.tilman_neumann.jml.factor.siqs.powers - package de.tilman_neumann.jml.factor.siqs.powers
de.tilman_neumann.jml.factor.siqs.sieve - package de.tilman_neumann.jml.factor.siqs.sieve
de.tilman_neumann.jml.factor.siqs.tdiv - package de.tilman_neumann.jml.factor.siqs.tdiv
de.tilman_neumann.jml.factor.squfof - package de.tilman_neumann.jml.factor.squfof
de.tilman_neumann.jml.factor.tdiv - package de.tilman_neumann.jml.factor.tdiv
de.tilman_neumann.jml.gcd - package de.tilman_neumann.jml.gcd
de.tilman_neumann.jml.hyperbolic - package de.tilman_neumann.jml.hyperbolic
de.tilman_neumann.jml.modular - package de.tilman_neumann.jml.modular
de.tilman_neumann.jml.partitions - package de.tilman_neumann.jml.partitions
de.tilman_neumann.jml.powers - package de.tilman_neumann.jml.powers
de.tilman_neumann.jml.precision - package de.tilman_neumann.jml.precision
de.tilman_neumann.jml.primes - package de.tilman_neumann.jml.primes
de.tilman_neumann.jml.primes.bounds - package de.tilman_neumann.jml.primes.bounds
de.tilman_neumann.jml.primes.exact - package de.tilman_neumann.jml.primes.exact
de.tilman_neumann.jml.primes.probable - package de.tilman_neumann.jml.primes.probable
de.tilman_neumann.jml.quadraticResidues - package de.tilman_neumann.jml.quadraticResidues
de.tilman_neumann.jml.roots - package de.tilman_neumann.jml.roots
de.tilman_neumann.jml.sequence - package de.tilman_neumann.jml.sequence
de.tilman_neumann.jml.smooth - package de.tilman_neumann.jml.smooth
de.tilman_neumann.jml.transcendental - package de.tilman_neumann.jml.transcendental
de.tilman_neumann.util - package de.tilman_neumann.util
decimalToBinary(int) - Static method in class de.tilman_neumann.jml.precision.Magnitude: Computes the number of binary digits analogous to the specified number of decimal digits.
DEFAULT - Static variable in class de.tilman_neumann.jml.factor.FactorAlgorithm: The best available single-threaded factor algorithm.
degree() - Method in class de.tilman_neumann.jml.base.BigIntPoly
DESCENDING - de.tilman_neumann.util.SortOrder: Descending order.
digits() - Method in class de.tilman_neumann.jml.precision.Precision
digits() - Method in class de.tilman_neumann.jml.precision.Scale
div2() - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
div2() - Method in interface de.tilman_neumann.jml.partitions.Mpi: Computes a kind of division by 2 of this.
divide(BigRational) - Method in class de.tilman_neumann.jml.base.BigRational: Computes the fraction of this and the argument.
divide(BigDecimal, BigDecimal, Precision) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath
divide(BigDecimal, BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Division with guaranteed precision.
divide(BigDecimal, BigInteger, Precision) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath
divide(BigDecimal, BigInteger, Scale) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Division by an integer.
divide(BigInteger) - Method in class de.tilman_neumann.jml.base.BigRational: Computes the fraction of this and the argument.
divideAndRemainder(int, UnsignedBigInt) - Method in class de.tilman_neumann.jml.base.UnsignedBigInt: Divide this by the given divisor, store the quotient in quotient and return the remainder.
divideAndRemainder_v1(int, UnsignedBigInt) - Method in class de.tilman_neumann.jml.base.UnsignedBigInt: Deprecated.
Divisors - Class in de.tilman_neumann.jml: Implementations for finding all divisors of an integer.
divPow2(BigDecimal, int) - Static method in class de.tilman_neumann.jml.powers.Pow2: Division by the n.th power of 2.
DoubleBlockHybridSieve - Class in de.tilman_neumann.jml.factor.siqs.sieve: Combination of a monolithic sieve for large primes > sieveArraySize/3, and a single block sieve for p < sieveArraySize/3.
DoubleBlockHybridSieve(int, int) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieve: Full constructor.
DoubleBlockHybridSieveU - Class in de.tilman_neumann.jml.factor.siqs.sieve: Combination of a monolithic sieve for large primes > sieveArraySize/3, and a single block sieve for p < sieveArraySize/3.
DoubleBlockHybridSieveU(int, int) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieveU: Full constructor.
DoubleBlockSieve - Class in de.tilman_neumann.jml.factor.siqs.sieve: Double block sieve implementation, essentially following [Wambach, Wettig 1995].
DoubleBlockSieve(int, int) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockSieve: Full constructor.
doubleValue() - Method in class de.tilman_neumann.jml.base.BigRational
doubleValue() - Method in class de.tilman_neumann.jml.base.Uint128
Dusart1999(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Dusart 1999 page 14 for n >= 39017.
Dusart2010_eq6_5(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Dusart 2010 theorem 6.9, eq.
Dusart2010_eq6_6(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Dusart 2010 theorem 6.9, eq.
Dusart2010_eq6_7(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Dusart 2010 theorem 6.9, eq.
Dusart2010p7(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Dusart 2010 page 7, Lemma 6.5: Holds for n >= 178974.
Dusart2010p8(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Dusart 2010 page 8, Proposition 6.6: Holds for n >= 688383.

E

EcmResult(long, int) - Constructor for class de.tilman_neumann.jml.factor.ecm.TinyEcm63.EcmResult
EcmResult(long, int) - Constructor for class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontInline.EcmResult
EcmResult(long, int) - Constructor for class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr.EcmResult
EcmResult(long, int) - Constructor for class de.tilman_neumann.jml.factor.ecm.TinyEcm64.EcmResult
EEA31 - Class in de.tilman_neumann.jml.gcd: Extended Euclidean algorithm, mostly used to compute the modular inverse of x (mod y).
EEA31() - Constructor for class de.tilman_neumann.jml.gcd.EEA31
EEA31.Result - Class in de.tilman_neumann.jml.gcd
EEA63 - Class in de.tilman_neumann.jml.gcd: Extended Euclidean algorithm, mostly used to compute the modular inverse of x (mod y).
EEA63() - Constructor for class de.tilman_neumann.jml.gcd.EEA63
EEA63.Result - Class in de.tilman_neumann.jml.gcd
EgyptianFractionsTriangle - Class in de.tilman_neumann.jml: Computes the number of terms/steps the Greedy algorithm requires to find a sum of simple quotients for any k/n; 0
EgyptianFractionsTriangle(int) - Constructor for class de.tilman_neumann.jml.EgyptianFractionsTriangle
EllipticCurveMethod - Class in de.tilman_neumann.jml.factor.ecm: Use Elliptic Curve Method to find the prime number factors of a given BigInteger.
EllipticCurveMethod(int) - Constructor for class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethod: Full constructor.
EllipticCurveMethodTest - Class in de.tilman_neumann.jml.factor.ecm
EllipticCurveMethodTest() - Constructor for class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethodTest
ensureLimit(int) - Method in class de.tilman_neumann.jml.primes.exact.AutoExpandingPrimesArray: Ensures that the array contains all primes <= x.
ensurePrimeCount(int) - Method in class de.tilman_neumann.jml.primes.exact.AutoExpandingPrimesArray: Ensures that the array contains at least the first 'desiredCount' primes.
equals(Object) - Method in class de.tilman_neumann.jml.base.BigRational
equals(Object) - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
equals(Object) - Method in class de.tilman_neumann.jml.factor.base.congruence.AQPair: hashCode() and equals() must be based on A to avoid duplicates.
equals(Object) - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Composite: Checks if this composite smooth relation is equal to another object.
Simple smooths (having exactly one AQPair) and composite smooths (having strictly more than one AQPair) can never be equal; hence it is correct to have two separate equals() implementations that reject all objects of the other type.
equals(Object) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet
equals(Object) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixRow
equals(Object) - Method in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
equals(Object) - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
equals(Object) - Method in class de.tilman_neumann.jml.precision.Precision
equals(Object) - Method in class de.tilman_neumann.jml.precision.Scale
equals(Object) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl: Unordered multisets are equal if they have exactly the same elements and these elements the same multiplicity, no matter in which iteration order the elements appear.
equals(Object) - Method in class de.tilman_neumann.util.Pair
equals(BigInteger) - Method in class de.tilman_neumann.jml.base.BigRational
EulerConstant - Class in de.tilman_neumann.jml.transcendental
EulerConstant() - Constructor for class de.tilman_neumann.jml.transcendental.EulerConstant
EulerFormula(int, int) - Method in class de.tilman_neumann.jml.modular.LegendreSymbol: Computes the Legendre symbol L(a|p) via Eulers formula for a, p int.
EulerFormula(BigInteger, int) - Method in class de.tilman_neumann.jml.modular.LegendreSymbol: Computes the Legendre symbol L(a|p) via Eulers formula.
EulerFormula(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.modular.LegendreSymbol: Computes the Legendre symbol L(a|p) via Eulers formula.
exactSqrt(BigInteger) - Static method in class de.tilman_neumann.jml.roots.SqrtExact: Return sqrt(n) if n is a square of an integer, null otherwise.
exp - Variable in class de.tilman_neumann.jml.factor.base.FactorArguments: The exponent of N
exp(BigDecimal, Precision) - Static method in class de.tilman_neumann.jml.transcendental.Exp
exp(BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.transcendental.Exp: Compute exp(w) using a more powerful argument reduction.
Exp - Class in de.tilman_neumann.jml.transcendental: Implementation of the exponential function for big decimals.
Exp() - Constructor for class de.tilman_neumann.jml.transcendental.Exp
expandTo(BigInteger) - Method in class de.tilman_neumann.jml.base.BigRational
exponent - Variable in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
exponent - Variable in class de.tilman_neumann.jml.powers.PurePowerTest.Result
exponents - Variable in class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: exponents of primes

F

f - Variable in class de.tilman_neumann.jml.factor.ecm.TinyEcm63.EcmResult
f - Variable in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontInline.EcmResult
f - Variable in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr.EcmResult
f - Variable in class de.tilman_neumann.jml.factor.ecm.TinyEcm64.EcmResult
F_0 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_0_5 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_1 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_10 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_12 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_2 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_2_5 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_3 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_4 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_5 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
F_8 - Static variable in class de.tilman_neumann.jml.base.BigDecimalConstants
factor - Variable in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorParallel
factor(BigInteger) - Method in class de.tilman_neumann.jml.factor.FactorAlgorithm: Decomposes the argument N into prime factors.
factor(BigInteger, int, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Barrett: Find all factor of NBig, which must have less than 32 bit.
factor(BigInteger, int, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Inverse: Find all factor of NBig, which must have less than 32 bit.
factor(BigInteger, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethod
factor(BigInteger, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.FactorAlgorithm: Decomposes the argument N into prime factors.
factor(BigInteger, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv
factor(BigInteger, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31
factor(BigInteger, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Barrett
factor(BigInteger, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Inverse
factor(BigInteger, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63
factor(BigInteger, SortedMultiset<BigInteger>) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63Inverse
FactorAlgorithm - Class in de.tilman_neumann.jml.factor: Abstraction of integer factorization algorithms.
FactorAlgorithm() - Constructor for class de.tilman_neumann.jml.factor.FactorAlgorithm
FactorAlgorithm(Integer) - Constructor for class de.tilman_neumann.jml.factor.FactorAlgorithm
FactorArguments - Class in de.tilman_neumann.jml.factor.base
FactorArguments(BigInteger, int) - Constructor for class de.tilman_neumann.jml.factor.base.FactorArguments: Full constructor.
FactorException - Exception in de.tilman_neumann.jml.factor: An exception indicating that a factor was found.
FactorException(BigInteger) - Constructor for exception de.tilman_neumann.jml.factor.FactorException: Complete constructor.
factorial(int) - Static method in class de.tilman_neumann.jml.combinatorics.Factorial: Peter Luschny's swinging prime factorial algorithm, see http://luschny.de/math/factorial/SwingIntro.pdf
Factorial - Class in de.tilman_neumann.jml.combinatorics: Implementations of the factorial function.
Factorial() - Constructor for class de.tilman_neumann.jml.combinatorics.Factorial
factorIInteger(IInteger) - Method in class org.matheclipse.gpl.numbertheory.BigIntegerPrimality
factorInteger(BigInteger) - Method in class org.matheclipse.gpl.numbertheory.BigIntegerPrimality: Decomposes the argument n into prime factors.
factorInteger(BigInteger, SortedMultiset<BigInteger>) - Method in class org.matheclipse.gpl.numbertheory.BigIntegerPrimality: Decomposes the argument n into prime factors.
FactorizerTest - Class in de.tilman_neumann.jml.factor: Main class to compare the performance of factor algorithms.
FactorizerTest() - Constructor for class de.tilman_neumann.jml.factor.FactorizerTest
FactorResult - Class in de.tilman_neumann.jml.factor.base
FactorResult(SortedMultiset<BigInteger>, SortedMultiset<BigInteger>, SortedMultiset<BigInteger>, long) - Constructor for class de.tilman_neumann.jml.factor.base.FactorResult: Full constructor.
FactorTest - Interface in de.tilman_neumann.jml.factor.base.matrixSolver: Interface for final factor tests when a square congruence A^2 == Q (mod kN) has been found.
FactorTest01 - Class in de.tilman_neumann.jml.factor.base.matrixSolver: Factor test using modular reduction (mod N).
FactorTest01(BigInteger) - Constructor for class de.tilman_neumann.jml.factor.base.matrixSolver.FactorTest01
fallingFactorial(int, int) - Static method in class de.tilman_neumann.jml.combinatorics.FallingFactorial: Computes the falling factorial.
FallingFactorial - Class in de.tilman_neumann.jml.combinatorics: Implementations of the falling factorial (n)_k = (n-k+1)*...*n.
FallingFactorial() - Constructor for class de.tilman_neumann.jml.combinatorics.FallingFactorial
FermatCatalanConjectureTest - Class in de.tilman_neumann.jml: Search for a^m + b^n = c^k with a,b,c , m,n,k integer, a,b,c coprime, and 1/m+1/n+1/k<1.
FermatCatalanConjectureTest() - Constructor for class de.tilman_neumann.jml.FermatCatalanConjectureTest
FILE_SEPARATOR - Static variable in class de.tilman_neumann.util.ConfigUtil: File separator used on this OS.
filter(SolutionArrays, BaseArrays, int, int[], int, int) - Method in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_q1
filter(SolutionArrays, BaseArrays, int, int[], int, int) - Method in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_q2
filter(SolutionArrays, BaseArrays, int, int[], int, int) - Method in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_qk
filter(SolutionArrays, BaseArrays, int, int[], int, int) - Method in interface de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter: Filter base arrays, fill solutionArrays with the result.
filteredBaseSize - Variable in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter.Result
filteredOutBaseElements - Variable in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter.Result
findIndependentCycles() - Method in class de.tilman_neumann.jml.factor.base.congruence.CycleFinder: Finds independent cycles and uses them to combine partial to smooth relations, following [LLDMW02].
findPowers(BigInteger, int[], int[], int, SieveParams) - Method in class de.tilman_neumann.jml.factor.siqs.powers.AllPowerFinder: Find all powers with pMin < power < pMax.
findPowers(BigInteger, int[], int[], int, SieveParams) - Method in class de.tilman_neumann.jml.factor.siqs.powers.PowerOfSmallPrimesFinder: Find the first powers > pMin.
findSingleFactor(int) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent31
findSingleFactor(int) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31
findSingleFactor(int) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Barrett
findSingleFactor(int) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Inverse
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.hart.Hart_AnalyzeSquareCongruences: Find a factor of long N.
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.hart.Hart_Fast: Find a factor of long N.
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.hart.Hart_Fast2Mult: Find a factor of long N.
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.hart.Hart_Simple
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.hart.Hart_Squarefree: Find a factor of long N.
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race: Find a factor of long N.
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race2: Find a factor of long N.
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeCongruences
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKFactoringMostN
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKFactoringSameN
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKMods
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKStructure
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeModPowersOf2
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeSpecialArguments
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_CustomKOrder
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Fast
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Simple
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Smith
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery63
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery64
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomeryR64Mul63
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF31: Find a factor of the given composite N.

Warning: This method will not return when called with a prime argument.
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF31Preload: Find a factor of the given composite N.

Warning: This method will not return when called with a prime argument.
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF63
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63
findSingleFactor(long) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63Inverse
findSingleFactor(long, int) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeCongruences2
findSingleFactor(long, Lehman_AnalyzeKProgressions.Progression) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKProgressions
findSingleFactor(long, Lehman_AnalyzeKProgressions2.Progression) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKProgressions2
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.cfrac.CFrac: Test the current N.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.cfrac.CFrac63: Test the current N.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.CombinedFactorAlgorithm
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethod
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.ecm.TinyEcm63
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontInline
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.FactorAlgorithm: Find a single factor of the given N, which is composite and odd.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.hart.Hart_AnalyzeSquareCongruences
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.hart.Hart_Fast
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.hart.Hart_Fast2Mult
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.hart.Hart_Simple
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.hart.Hart_Squarefree
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race2
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.hart.HartLA63: Test the current N.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_CustomKOrder
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Fast
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Simple
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Smith
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRho_ProductGcd
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRho
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRho31
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent31
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery63
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery64
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomeryR64Mul63
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase: Test the current N.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.SIQS_Small: Test the current N.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.SIQS: Test the current N.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF31
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF31Preload
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF63: Find a factor of the given composite N.

Warning: This method will not return when called with a prime argument.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv: Find a single factor of the given N, which is composite and odd.
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Barrett
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Inverse
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63
findSingleFactor(BigInteger) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63Inverse: Find a single factor of the given N, which is composite and odd.
FIRST_FACTOR - de.tilman_neumann.jml.factor.TestMode: Find the first factor of some N.
firstNonZeroPartIndex() - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
firstNonZeroPartIndex() - Method in interface de.tilman_neumann.jml.partitions.Mpi
floatValue() - Method in class de.tilman_neumann.jml.base.BigRational
floorInt() - Method in class de.tilman_neumann.jml.base.BigRational
floorInt(BigDecimal) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Returns floor(x) as a big integer.
formatLeft(String, String) - Static method in class de.tilman_neumann.util.StringUtil: Inserts a string s left-aligned into a mask, without truncation.

Examples:
formatLeft("abc", "123456") -> "abc456"
formatLeft("abcdef", "123") -> "abcdef"
formatRight(String, String) - Static method in class de.tilman_neumann.util.StringUtil: Inserts a string s right-aligned into a mask, without truncation.

Examples:
formatRight("abc", "123456") -> "123abc"
formatRight("abcdef", "123") -> "abcdef"
frac(BigDecimal) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Returns the fractional part of x, with the same scale than x.
freeMemory(long) - Static method in class de.tilman_neumann.jml.factor.base.UnsafeUtil: Release a native memory block.
fromDouble(double) - Static method in class de.tilman_neumann.jml.base.BigIntConverter: Create a BigInteger from double, with minimal precision loss.
fromDoubleMulPow2(double, int) - Static method in class de.tilman_neumann.jml.base.BigIntConverter: Compute BigInteger from double multiplied with a power of 2, i.e.

G

g - Variable in class de.tilman_neumann.jml.gcd.EEA31.Result: gcd
g - Variable in class de.tilman_neumann.jml.gcd.EEA63.Result: gcd
gamma(Scale) - Static method in class de.tilman_neumann.jml.transcendental.EulerConstant
gcd(int, int) - Method in class de.tilman_neumann.jml.gcd.Gcd31: Faster binary gcd adapted from OpenJdk's MutableBigInteger.binaryGcd(int, int).
gcd(long, long) - Method in class de.tilman_neumann.jml.gcd.Gcd63: Faster binary gcd adapted from OpenJdk's MutableBigInteger.binaryGcd(int, int).
gcd(BigInteger[]) - Static method in class de.tilman_neumann.jml.gcd.Gcd: GCD of k arguments n1, n2, ..., nk.
gcd(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.gcd.Gcd: Slightly faster binary gcd adapted from OpenJdk's MutableBigInteger.binaryGcd(int, int).
gcd(Collection<Integer>) - Method in class de.tilman_neumann.jml.gcd.Gcd31: GCD of all arguments.
gcd(Collection<Long>) - Method in class de.tilman_neumann.jml.gcd.Gcd63: GCD of all arguments.
gcd(Collection<BigInteger>) - Static method in class de.tilman_neumann.jml.gcd.Gcd: GCD of k arguments n1, n2, ..., nk.
Gcd - Class in de.tilman_neumann.jml.gcd: GCD implementations for BigIntegers.
Gcd() - Constructor for class de.tilman_neumann.jml.gcd.Gcd
gcd_binary1(int, int) - Method in class de.tilman_neumann.jml.gcd.Gcd31: Binary gcd implementation.
gcd_binary1(long, long) - Method in class de.tilman_neumann.jml.gcd.Gcd63: Binary gcd implementation.
gcd_binary1(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.gcd.Gcd: Binary gcd implementation.
gcd_euclid_withDivision(int, int) - Method in class de.tilman_neumann.jml.gcd.Gcd31: Greatest common divisor of the given two arguments.
gcd_euclid_withDivision(long, long) - Method in class de.tilman_neumann.jml.gcd.Gcd63: Greatest common divisor of the given two arguments.
gcd_euclid_withDivision(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.gcd.Gcd: Greatest common divisor of the given two arguments.
gcd_euclid_withoutDivision(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.gcd.Gcd
Gcd31 - Class in de.tilman_neumann.jml.gcd: GCD implementations for 32-bit integers.
Gcd31() - Constructor for class de.tilman_neumann.jml.gcd.Gcd31
Gcd63 - Class in de.tilman_neumann.jml.gcd: GCD implementations for longs.
Gcd63() - Constructor for class de.tilman_neumann.jml.gcd.Gcd63
generate(int, int, TestNumberNature) - Static method in class de.tilman_neumann.jml.factor.TestsetGenerator: Generate N_count random numbers of the given size and nature.
Generator<T> - Interface in de.tilman_neumann.jml.partitions: A generator for a sequence of objects of type .
get() - Static method in class de.tilman_neumann.jml.primes.exact.AutoExpandingPrimesArray
get(int) - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray
get(int) - Method in class de.tilman_neumann.jml.factor.base.SortedLongArray
get(int, int) - Method in class de.tilman_neumann.jml.base.BigIntTriangle: Returns the entry T[n,k], with T[1,1] being the very first element.
getA() - Method in class de.tilman_neumann.jml.factor.base.congruence.AQPair
getA004215(long) - Static method in class de.tilman_neumann.jml.SumOf4Squares: Compute all elements of A004215 below m, i.e.
getA004215_v2(int) - Static method in class de.tilman_neumann.jml.SumOf4Squares: Compute all elements of A004215 below m = 2^n, i.e.
getA004215_v3(int, long[]) - Static method in class de.tilman_neumann.jml.SumOf4Squares: Another implementation using arrays, much faster than the previous ones.
getAllQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.AQPair
getAllQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_1Large
getAllQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_2Large
getAllQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_nLarge
getAllQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_1LargeSquare
getAllQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_nLargeSquares
getAllQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Perfect
getAQPairs() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Composite
getAQPairs() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Simple
getAQPairs() - Method in interface de.tilman_neumann.jml.factor.base.congruence.Smooth
getBiggestColumnIndex() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixRow
getBiggestDivisorBelowSqrtN(BigInteger) - Static method in class de.tilman_neumann.jml.Divisors: Find the biggest divisor of n <= sqrt(n).
getBiggestDivisorBelowSqrtN(BigInteger, SortedMap<BigInteger, Integer>) - Static method in class de.tilman_neumann.jml.Divisors: Find the biggest divisor of n <= sqrt(n) given the prime factorization of n.
getCAN() - Method in class de.tilman_neumann.jml.smooth.CANEntry
getCardinality() - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
getCardinality() - Method in interface de.tilman_neumann.jml.partitions.Mpi
getCollectDuration() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorParallel
getComplementOfQuadraticResiduesMod2PowN(int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Returns the "complement" of quadratic residues modulo 2^n.
getCount() - Method in class de.tilman_neumann.jml.primes.exact.CountingCallback
getCycleCountResult() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector
getCycleCountResult() - Method in class de.tilman_neumann.jml.factor.base.congruence.CycleFinder
getDenominator() - Method in class de.tilman_neumann.jml.base.BigRational
getDim() - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
getDim() - Method in interface de.tilman_neumann.jml.partitions.Mpi
getDivisorCount(BigInteger) - Static method in class de.tilman_neumann.jml.Divisors: Computes the number of positive divisors of the given argument.
getDivisorCount(SortedMap<BigInteger, Integer>) - Static method in class de.tilman_neumann.jml.Divisors: Computes the number of positive divisors given the prime factorization of a number.
getDivisors(BigInteger) - Static method in class de.tilman_neumann.jml.Divisors: Delivers the set of divisors of the argument, including 1 and n.
getDivisors(SortedMap<BigInteger, Integer>) - Static method in class de.tilman_neumann.jml.Divisors: Bottom-up divisors construction algorithm.
getDivisorsWithoutOneAndX(BigInteger) - Static method in class de.tilman_neumann.jml.Divisors: Delivers the set of divisors of the argument except for 1 and n.
getElem(int) - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
getElem(int) - Method in interface de.tilman_neumann.jml.partitions.Mpi: Returns the entry of the given index, with 0<=index
getEpsilon() - Method in class de.tilman_neumann.jml.smooth.CANEntry
getErrorBound() - Method in class de.tilman_neumann.jml.precision.Scale: The error a computation with this scale should not exceed.
getEvenQuadraticResidues(long) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResidues: Get the quadratic residues of even "k" modulo m, computed by brute force.
getExponent(int) - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray
getExponent(int) - Method in class de.tilman_neumann.jml.factor.base.SortedLongArray
getExponents() - Method in class de.tilman_neumann.jml.smooth.CANEntry
getExponents() - Method in class de.tilman_neumann.jml.smooth.SHCNEntry
getExponentSum() - Method in class de.tilman_neumann.jml.smooth.CANEntry
getExponentSum() - Method in class de.tilman_neumann.jml.smooth.SHCNEntry
getFactor() - Method in exception de.tilman_neumann.jml.factor.FactorException
getFactorizer() - Static method in class org.matheclipse.gpl.numbertheory.BigIntegerPrimality
getFirst() - Method in class de.tilman_neumann.util.Pair
getHigh() - Method in class de.tilman_neumann.jml.base.Uint128
getInitializerBlock() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams
getInsertPosition(int) - Method in class de.tilman_neumann.jml.primes.exact.AutoExpandingPrimesArray
getInsertPosition(int[], int, int) - Method in class de.tilman_neumann.jml.BinarySearch: Find the insert position for x into array given that array is sorted bottom-up.
getInstance() - Static method in class de.tilman_neumann.jml.primes.probable.TDivPrimeTest
getLargeFactorsWithOddExponent() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_1Large
getLargeFactorsWithOddExponent() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_2Large
getLargeFactorsWithOddExponent() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_nLarge
getLargeFactorsWithOddExponent() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial
getLow() - Method in class de.tilman_neumann.jml.base.Uint128
getMatrixElements() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Composite
getMatrixElements() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Simple
getMatrixElements() - Method in interface de.tilman_neumann.jml.factor.base.congruence.Smooth
getMultiplier() - Method in enum de.tilman_neumann.util.SortOrder
getName() - Method in class de.tilman_neumann.jml.factor.base.congruence.PartialSolver
getName() - Method in interface de.tilman_neumann.jml.factor.base.matrixSolver.FactorTest
getName() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.FactorTest01
getName() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver
getName() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver01_Gauss
getName() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver02_BlockLanczos
getName() - Method in class de.tilman_neumann.jml.factor.cfrac.CFrac
getName() - Method in class de.tilman_neumann.jml.factor.cfrac.CFrac63
getName() - Method in interface de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF
getName() - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF01
getName() - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF02
getName() - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF03
getName() - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_01
getName() - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_02
getName() - Method in interface de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63
getName() - Method in class de.tilman_neumann.jml.factor.CombinedFactorAlgorithm
getName() - Method in class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethod
getName() - Method in class de.tilman_neumann.jml.factor.ecm.TinyEcm63
getName() - Method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontInline
getName() - Method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr
getName() - Method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64
getName() - Method in class de.tilman_neumann.jml.factor.FactorAlgorithm
getName() - Method in class de.tilman_neumann.jml.factor.hart.Hart_AnalyzeSquareCongruences
getName() - Method in class de.tilman_neumann.jml.factor.hart.Hart_Fast
getName() - Method in class de.tilman_neumann.jml.factor.hart.Hart_Fast2Mult
getName() - Method in class de.tilman_neumann.jml.factor.hart.Hart_Simple
getName() - Method in class de.tilman_neumann.jml.factor.hart.Hart_Squarefree
getName() - Method in class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race
getName() - Method in class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race2
getName() - Method in class de.tilman_neumann.jml.factor.hart.HartLA63
getName() - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_CustomKOrder
getName() - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Fast
getName() - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Simple
getName() - Method in class de.tilman_neumann.jml.factor.lehman.Lehman_Smith
getName() - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRho_ProductGcd
getName() - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRho
getName() - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRho31
getName() - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent
getName() - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent31
getName() - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery63
getName() - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery64
getName() - Method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomeryR64Mul63
getName() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQS_SBH_U
getName() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQS_U
getName() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQS
getName() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
getName() - Method in interface de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator
getName() - Method in class de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator01
getName() - Method in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_q1
getName() - Method in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_q2
getName() - Method in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter_qk
getName() - Method in interface de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter
getName() - Method in class de.tilman_neumann.jml.factor.siqs.poly.SIQSPolyGenerator
getName() - Method in class de.tilman_neumann.jml.factor.siqs.powers.AllPowerFinder
getName() - Method in class de.tilman_neumann.jml.factor.siqs.powers.NoPowerFinder
getName() - Method in interface de.tilman_neumann.jml.factor.siqs.powers.PowerFinder
getName() - Method in class de.tilman_neumann.jml.factor.siqs.powers.PowerOfSmallPrimesFinder
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieve
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieveU
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockSieve
getName() - Method in interface de.tilman_neumann.jml.factor.siqs.sieve.Sieve
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03g
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03gU
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SimpleSieve
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieve
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieveU
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieve
getName() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieveU
getName() - Method in class de.tilman_neumann.jml.factor.siqs.SIQS_Small
getName() - Method in class de.tilman_neumann.jml.factor.siqs.SIQS
getName() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large_UBI
getName() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large
getName() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI_BarrettD
getName() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI
getName() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge_UBI
getName() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge
getName() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_Small
getName() - Method in interface de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS
getName() - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF31
getName() - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF31Preload
getName() - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF63
getName() - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv
getName() - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31
getName() - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Barrett
getName() - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv31Inverse
getName() - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63
getName() - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63Inverse
getName() - Method in interface de.tilman_neumann.jml.sequence.NumberSequence
getName() - Method in class de.tilman_neumann.jml.sequence.SquarefreeSequence
getName() - Method in class de.tilman_neumann.jml.sequence.SquarefreeSequence63
getNonIntFactorPercentages() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorReport
getNumberOfColumns() - Method in class de.tilman_neumann.jml.base.NumberGrid
getNumberOfLargeQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.AQPair
getNumberOfLargeQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_1Large
getNumberOfLargeQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_2Large
getNumberOfLargeQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Partial_nLarge
getNumberOfLargeQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_1LargeSquare
getNumberOfLargeQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_nLargeSquares
getNumberOfLargeQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Perfect
getNumberOfQuadraticResiduesMod2PowN(int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Compute A23105(n), the number of distinct quadratic residues mod 2^n, via the formula by David S.
getNumberOfRealizations() - Method in class de.tilman_neumann.jml.partitions.IntegerPartition
getNumerator() - Method in class de.tilman_neumann.jml.base.BigRational
getOperationDetails() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorReport
getOperationDetails() - Method in class de.tilman_neumann.jml.factor.siqs.poly.PolyReport
getOperationDetails() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDivReport
getPackageName(Class<?>) - Static method in class de.tilman_neumann.util.ReflectionUtil: Returns the package name for the given class.
getPartialBigFactorSizes() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorReport
getPartialCongruenceCount() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector
getPartialQSignCounts() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorReport
getPhaseTimings(int) - Method in class de.tilman_neumann.jml.factor.siqs.poly.PolyReport
getPhaseTimings(int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SieveReport
getPhaseTimings(int) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDivReport
getPolyReport() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
getPrime(int) - Method in class de.tilman_neumann.jml.partitions.PrimePowers_DefaultImpl
getPrime(int) - Method in interface de.tilman_neumann.jml.partitions.PrimePowers: Return the prime at the given index.
getPrime(int) - Method in class de.tilman_neumann.jml.primes.exact.AutoExpandingPrimesArray: Get the n.th prime, e.g.
getPrimes() - Method in class de.tilman_neumann.jml.smooth.CANEntry
getPrimes() - Method in class de.tilman_neumann.jml.smooth.SHCNEntry
getQArray() - Method in interface de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator
getQArray() - Method in class de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator01
getQCount() - Method in interface de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator
getQCount() - Method in class de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator01
getQRestSizes() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDivReport
getQTArray() - Method in interface de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator
getQTArray() - Method in class de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator01
getQuadraticResidues(long) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResidues: Return all quadratic residues modulo m, computed by brute force.
getQuadraticResiduesMod2PowN(int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Compute all quadratic residues modulus 2^n.
getQuadraticResiduesMod2PowN(int, long[]) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Compute all quadratic residues modulus 2^n.
getQuadraticResiduesMod2PowN_testAll(int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Compute all quadratic residues modulus 2^n.
getQuadraticResiduesMod2PowN_testAll_big(int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Compute all quadratic residues modulus 2^n.
getQuadraticResiduesMod2PowN_testAll_v2(int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Compute all quadratic residues modulus 2^n.
getQuadraticResiduesMod3PowN(int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod3PowN: Compute all quadratic residues modulus 3^n.
getQuadraticResiduesMod3PowN_testAll(int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod3PowN: Compute all quadratic residues modulus 3^n.
getQuadraticResiduesModBPowN(int, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowN: Compute all quadratic residues modulus p^n.
getQuadraticResiduesModBPowN_testAll(int, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowN: Compute all quadratic residues modulus p^n.
getQuadraticResiduesModBPowN_testAll_v2(int, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowN: Compute all quadratic residues modulus p^n.
getReport() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.poly.SIQSPolyGenerator
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieve
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieveU
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockSieve
getReport() - Method in interface de.tilman_neumann.jml.factor.siqs.sieve.Sieve
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03g
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03gU
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SimpleSieve
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieve
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieveU
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieve
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieveU
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large_UBI
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI_BarrettD
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge_UBI
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge
getReport() - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_Small
getReport() - Method in interface de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS
getResultMagnitude(BigDecimal, BigDecimal) - Static method in class de.tilman_neumann.jml.transcendental.Agm: Computes an estimate of the size of agm(a, b) in decimal digits.
getRow(int) - Method in class de.tilman_neumann.jml.base.BigIntTriangle: return n.th row, where the first row has index 1.
getRowIndexHistoryAsList() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixRow
getRows() - Method in class de.tilman_neumann.jml.base.NumberGrid
getRowSum(int) - Method in class de.tilman_neumann.jml.base.BigIntTriangle: Returns the sum over all entries of the n.th row, where the first row has index 1.
getRowSums() - Method in class de.tilman_neumann.jml.base.BigIntTriangle
getSecond() - Method in class de.tilman_neumann.util.Pair
getSHCN() - Method in class de.tilman_neumann.jml.smooth.SHCNEntry
getSieveReport() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
getSmallDivisors(BigInteger) - Static method in class de.tilman_neumann.jml.Divisors
getSmallDivisors(BigInteger, SortedMap<BigInteger, Integer>) - Static method in class de.tilman_neumann.jml.Divisors: Bottom-up divisors construction algorithm for all divisor <= sqrt(n).
getSmallDivisors_v1(BigInteger) - Static method in class de.tilman_neumann.jml.Divisors: Compute all positive divisors d of n with d <= lower(sqrt(n)).
getSmallQFactors() - Method in class de.tilman_neumann.jml.factor.base.congruence.AQPair: Building block to implement the method above.
getSmoothBigFactorPercentiles() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorReport
getSmoothBigFactorSizes() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorReport
getSmoothCongruenceCount() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector
getSmoothCongruences() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector
getSmoothQSignCounts() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorReport
getSolverDuration() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorParallel
getSolverRunCount() - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorParallel
getSubvaluesLessOrEqual(Mpi, Mpi) - Method in class de.tilman_neumann.jml.partitions.MpiPowerMap: Delivers all subvalues (piece-wise relation) of x not bigger (ordering relation) than biggestElem.
getTDivReport() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
getTestedNullVectorCount() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver
getTotalDuration(int) - Method in class de.tilman_neumann.jml.factor.siqs.poly.PolyReport
getTotalDuration(int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SieveReport
getTotalDuration(int) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDivReport
getUnsafe() - Static method in class de.tilman_neumann.jml.factor.base.UnsafeUtil
getX() - Method in class de.tilman_neumann.jml.smooth.SHCNEntry
GlobalFactoringOptions - Interface in de.tilman_neumann.jml.factor.base: Global factoring settings.

H

harmonic(int) - Static method in class de.tilman_neumann.jml.HarmonicNumbers: Simple series computation of harmonic numbers H_{n} = 1/1 + 1/2 + 1/3 + ...
harmonic_dbl(int) - Static method in class de.tilman_neumann.jml.HarmonicNumbers: Simple series computation of harmonic numbers H_{n} = 1/1 + 1/2 + 1/3 + ...
harmonic_lowerBound(BigInteger, Scale) - Static method in class de.tilman_neumann.jml.HarmonicNumbers: Lower bound for the harmonic number H_n.
harmonic_upperBound(BigInteger, Scale) - Static method in class de.tilman_neumann.jml.HarmonicNumbers: Upper bound for the harmonic number H_n.
HarmonicNumbers - Class in de.tilman_neumann.jml: Computation of harmonic and "hyper-harmonic" numbers.
harmonicPower(int, int) - Static method in class de.tilman_neumann.jml.HarmonicNumbers: Harmonic power series H_{n,r} = sum_{i=1..n} 1/i^r.
Hart_AnalyzeCongruences - Class in de.tilman_neumann.jml.factor.hart: Analyze the congruences best matching Hart's one-line factor algorithm when tested with 4kN values, where k are multiples of some K_MULT.
Hart_AnalyzeCongruences() - Constructor for class de.tilman_neumann.jml.factor.hart.Hart_AnalyzeCongruences
Hart_AnalyzeSquareCongruences - Class in de.tilman_neumann.jml.factor.hart: Analyze until which s we obtain test == "some square" (mod 2^s).
Hart_AnalyzeSquareCongruences(boolean) - Constructor for class de.tilman_neumann.jml.factor.hart.Hart_AnalyzeSquareCongruences: Full constructor.
Hart_Fast - Class in de.tilman_neumann.jml.factor.hart: Pretty simple yet fast variant of Hart's one line factorizer.
Hart_Fast(boolean) - Constructor for class de.tilman_neumann.jml.factor.hart.Hart_Fast: Full constructor.
Hart_Fast2Mult - Class in de.tilman_neumann.jml.factor.hart: Pretty simple yet fast variant of Hart's one line factorizer.
Hart_Fast2Mult(boolean) - Constructor for class de.tilman_neumann.jml.factor.hart.Hart_Fast2Mult: Full constructor.
Hart_Simple - Class in de.tilman_neumann.jml.factor.hart: Simple implementation of Hart's one line factor algorithm.
Hart_Simple() - Constructor for class de.tilman_neumann.jml.factor.hart.Hart_Simple
Hart_Squarefree - Class in de.tilman_neumann.jml.factor.hart: A variant of Hart's one line factorizer using k = 315 * s, where s is squarefree (1,2,3,5,6,7,10,11,13,...).
Hart_Squarefree(boolean) - Constructor for class de.tilman_neumann.jml.factor.hart.Hart_Squarefree: Full constructor.
Hart_TDiv_Race - Class in de.tilman_neumann.jml.factor.hart: A factoring algorithm racing Hart's one line factorizer against trial division.
Hart_TDiv_Race() - Constructor for class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race: Full constructor.
Hart_TDiv_Race2 - Class in de.tilman_neumann.jml.factor.hart: A factoring algorithm racing Hart's one line factorizer against trial division.
Hart_TDiv_Race2() - Constructor for class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race2: Full constructor.
HartLA63 - Class in de.tilman_neumann.jml.factor.hart: Experimental Hart algorithm assembling square congruences from smooth congruences.
HartLA63(float, float, TDiv_CF63, int, MatrixSolver) - Constructor for class de.tilman_neumann.jml.factor.hart.HartLA63: Standard constructor.
hashCode() - Method in class de.tilman_neumann.jml.base.BigRational
hashCode() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
hashCode() - Method in class de.tilman_neumann.jml.factor.base.congruence.AQPair: hashCode() and equals() must be based on A to avoid duplicates.
hashCode() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Composite
hashCode() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet
hashCode() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixRow
hashCode() - Method in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
hashCode() - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
hashCode() - Method in class de.tilman_neumann.jml.precision.Precision
hashCode() - Method in class de.tilman_neumann.jml.precision.Scale
hashCode() - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
hashCode() - Method in class de.tilman_neumann.util.Pair
hasNext() - Method in interface de.tilman_neumann.jml.partitions.Generator
hasNext() - Method in class de.tilman_neumann.jml.partitions.IntegerPartitionGenerator
hasNext() - Method in class de.tilman_neumann.jml.partitions.MpiPartitionGenerator
HyperFactorial - Class in de.tilman_neumann.jml.combinatorics: Hyperfactorials.
HyperFactorial() - Constructor for class de.tilman_neumann.jml.combinatorics.HyperFactorial
hyperharmonic_closedForm(int, int) - Static method in class de.tilman_neumann.jml.HarmonicNumbers: Closed-form evaluation of "hyper-harmonic numbers" defined by
H_{n,1} = sum_{i=1..n} 1/i
H_{n,r} = sum_{i=1..n} H_{i,r-1}; r>1
hyperharmonic_recurrent(int, int) - Static method in class de.tilman_neumann.jml.HarmonicNumbers: Recurrent computation of "hyper-harmonic numbers" defined by
H_{n,1} = sum_{i=1..n} 1/i
H_{n,r} = sum_{i=1..n} H_{i,r-1}; r>1

I

I_0 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 0
I_1 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 1
I_10 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10
I_100 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 100
I_11 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 11
I_12 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 12
I_13 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 13
I_14 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 14
I_15 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 15
I_16 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 16
I_17 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 17
I_18 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 18
I_19 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 19
I_1E10 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^10
I_1E11 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^11
I_1E12 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^12
I_1E13 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^13
I_1E14 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^14
I_1E15 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^15
I_1E16 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^16
I_1E17 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^17
I_1E18 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^18
I_1E19 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^19
I_1E20 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^20
I_1E3 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 1000
I_1E4 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10000
I_1E5 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 100000
I_1E6 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: a million
I_1E7 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: ten million
I_1E8 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 100 million
I_1E9 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 10^9
I_2 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 2
I_20 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 20
I_21 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 21
I_22 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 22
I_23 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 23
I_24 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 24
I_25 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 25
I_26 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 26
I_27 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 27
I_28 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 28
I_29 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 29
I_3 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 3
I_30 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 30
I_31 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 31
I_32 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 32
I_37 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 37
I_4 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 4
I_40 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 40
I_41 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 41
I_43 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 43
I_47 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 47
I_48 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 48
I_5 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 5
I_50 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 50
I_6 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 6
I_60 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 60
I_64 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 64
I_7 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 7
I_8 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 8
I_9 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: 9
I_MAX_EXPONENT - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: max pow exponent
I_MAX_INT - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: max integer
I_MINUS_1 - Static variable in class de.tilman_neumann.jml.base.BigIntConstants: -1
IndexSet - Class in de.tilman_neumann.jml.factor.base.matrixSolver: BitArray implementation of an IndexSet, realized in long[], used by the Gaussian solver.
IndexSet(int) - Constructor for class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet: Standard constructor, creates an empty bit array capable to hold the given numberOfBits.
initialize(int, BigInteger, BigInteger, int, int, int[], int[], int) - Method in interface de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator: Initialize this a-parameter generator for a new N.
initialize(int, BigInteger, BigInteger, int, int, int[], int[], int) - Method in class de.tilman_neumann.jml.factor.siqs.poly.AParamGenerator01
initialize(BigInteger, double) - Method in interface de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF: Initialize for a new N.
initialize(BigInteger, double) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF01
initialize(BigInteger, double) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF02
initialize(BigInteger, double) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF03
initialize(BigInteger, double) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_01
initialize(BigInteger, double) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_02
initialize(BigInteger, double) - Method in interface de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63: Initialize for a new N.
initialize(BigInteger, int, int[]) - Method in interface de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF: Initialize this factorizer for a new k; in particular set the prime base to be used for trial division.
initialize(BigInteger, int, int[]) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF01
initialize(BigInteger, int, int[]) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF02
initialize(BigInteger, int, int[]) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF03
initialize(BigInteger, int, int[]) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_01
initialize(BigInteger, int, int[]) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_02
initialize(BigInteger, int, int[]) - Method in interface de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63: Initialize this factorizer for a new k; in particular set the prime base to be used for trial division.
initialize(BigInteger, int, MatrixSolver, FactorTest) - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollectorParallel: Initialize congruence collector for a new N.
initialize(BigInteger, FactorTest) - Method in class de.tilman_neumann.jml.factor.base.congruence.CongruenceCollector: Initialize congruence collector for a new N.
initialize(BigInteger, FactorTest) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver: Initialize for a new N.
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieve
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieveU
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockSieve
initializeForAParameter(SolutionArrays, int) - Method in interface de.tilman_neumann.jml.factor.siqs.sieve.Sieve: Set (filtered) prime base and smallest x1, x2 solutions for a new a-parameter.
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03g
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03gU
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SimpleSieve
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieve
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieveU
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieve
initializeForAParameter(SolutionArrays, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieveU
initializeForAParameter(BigInteger, int, BigInteger, SolutionArrays, int, int[]) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large_UBI
initializeForAParameter(BigInteger, int, BigInteger, SolutionArrays, int, int[]) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large
initializeForAParameter(BigInteger, int, BigInteger, SolutionArrays, int, int[]) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI_BarrettD
initializeForAParameter(BigInteger, int, BigInteger, SolutionArrays, int, int[]) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI
initializeForAParameter(BigInteger, int, BigInteger, SolutionArrays, int, int[]) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge_UBI
initializeForAParameter(BigInteger, int, BigInteger, SolutionArrays, int, int[]) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge
initializeForAParameter(BigInteger, int, BigInteger, SolutionArrays, int, int[]) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_Small
initializeForAParameter(BigInteger, int, BigInteger, SolutionArrays, int, int[]) - Method in interface de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS: Set prime/power base, polynomial parameters and smallest x-solutions for a new a-parameter.
initializeForN(double, BigInteger, double) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large_UBI
initializeForN(double, BigInteger, double) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large
initializeForN(double, BigInteger, double) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI_BarrettD
initializeForN(double, BigInteger, double) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI
initializeForN(double, BigInteger, double) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge_UBI
initializeForN(double, BigInteger, double) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge
initializeForN(double, BigInteger, double) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_Small
initializeForN(double, BigInteger, double) - Method in interface de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS: Initialize this trial division engine for a new N.
initializeForN(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, AParamGenerator, Sieve, TDiv_QS) - Method in class de.tilman_neumann.jml.factor.siqs.poly.SIQSPolyGenerator: Initialize the polynomial generator for a new N.
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieve
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieveU
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockSieve
initializeForN(SieveParams, int) - Method in interface de.tilman_neumann.jml.factor.siqs.sieve.Sieve: Initialize for a new N.
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03g
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03gU
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SimpleSieve
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieve
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieveU
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieve
initializeForN(SieveParams, int) - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieveU
initializer - Variable in class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams: sieve array initializer value
initProject() - Static method in class de.tilman_neumann.util.ConfigUtil: Project configuration.
IntCollectionUtil - Class in de.tilman_neumann.jml.base: Utility methods for collections of Integers.
IntCollectionUtil() - Constructor for class de.tilman_neumann.jml.base.IntCollectionUtil
IntegerPartition - Class in de.tilman_neumann.jml.partitions: Integer partition, with nice String output.
IntegerPartition(int[]) - Constructor for class de.tilman_neumann.jml.partitions.IntegerPartition: Constructor from flat element array.
IntegerPartitionGenerator - Class in de.tilman_neumann.jml.partitions: Integer partition generator, derived from fast multipartite number partition generator.
IntegerPartitionGenerator(int) - Constructor for class de.tilman_neumann.jml.partitions.IntegerPartitionGenerator: Complete constructor for a generator of the partitions of n
intersect(Multiset<T>) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
intLength() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
intValue() - Method in class de.tilman_neumann.jml.base.BigRational
intValue() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
inverse(int) - Static method in class de.tilman_neumann.jml.combinatorics.HyperFactorial: A000197 or what I call the "inverse hyperfactorial" is the product 1^n*2^(n-1)*..*(n-1)^2*n^1 = 1!*2!*3!*...(n-1)!*n!.
isEmpty() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet
isExactSquare() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Composite
isExactSquare() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Simple
isExactSquare() - Method in interface de.tilman_neumann.jml.factor.base.congruence.Smooth: Test if the Q of this smooth congruence is an exact square.
isNullVector() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixRow
isOne() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt: Test for 1.
isPrime(int) - Method in class de.tilman_neumann.jml.primes.probable.TDivPrimeTest
isProbablePrime(long) - Method in class de.tilman_neumann.jml.primes.probable.BPSWTest
isProbablePrime(long) - Method in class de.tilman_neumann.jml.primes.probable.PrPTest
isProbablePrime(BigInteger) - Method in class de.tilman_neumann.jml.primes.probable.BPSWTest
isProbablePrime(BigInteger) - Method in class de.tilman_neumann.jml.primes.probable.LucasTest: (Non-strong) Lucas probable prime test with parameters P=1, D some value in 5, -7, 9, -11, 13, -15, ...
isProbablePrime(BigInteger) - Method in class de.tilman_neumann.jml.primes.probable.PrPTest
isProbablePrime(BigInteger, int) - Method in class de.tilman_neumann.jml.primes.probable.MillerRabinTest: Perform up to numberOfRounds Miller-Rabin tests with random bases.
iSqrt(BigInteger) - Static method in class de.tilman_neumann.jml.roots.SqrtInt: sqrt() computation with integer solutions using Herons (or "Babylonian") method and the built-in Math.sqrt() as initial guess, for any argument size and avoiding BigDecimals.
iSqrt(BigInteger, BigInteger) - Static method in class de.tilman_neumann.jml.roots.SqrtInt: Simplest Heron-type sqrt() implementation.
isQuadraticResidueMod2PowN(long, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Computes if 'a' is a quadratic residue modulo 2^n.
isQuadraticResidueMod2PowN(BigInteger, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Computes if 'a' is a quadratic residue modulo 2^n.
isQuadraticResidueMod2PowN_v1(long, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN: Computes if 'a' is a quadratic residue modulo 2^n.
isQuadraticResidueMod3PowN(long, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod3PowN: Computes if 'a' is a quadratic residue modulo 3^n.
isQuadraticResidueModBPowN(long, int, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowN: Computes if 'a' is a quadratic residue modulo p^n.
isQuadraticResidueModBPowN_v2(long, int, int) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowN: Implementation following https://en.wikipedia.org/wiki/Quadratic_residue.
IsSqrt_Test - Class in de.tilman_neumann.jml.factor.lehman: Analyze the moduli of a-values that help the Lehman algorithm to find factors.
IsSqrt_Test() - Constructor for class de.tilman_neumann.jml.factor.lehman.IsSqrt_Test
isStrongProbablePrime(BigInteger) - Method in class de.tilman_neumann.jml.primes.probable.LucasTest: Strong Lucas probable prime test with parameters P=1, D some value in 5, -7, 9, -11, 13, -15, ...
isZero() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt: Test for 0.
iterator() - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
ithRoot(BigDecimal, int, Scale) - Static method in class de.tilman_neumann.jml.roots.RootsReal: Compute i.th root of x.
ithRoot(BigDecimal, int, BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.roots.RootsReal: Compute the i.th root with initial guess.
ithRoot(BigInteger, int) - Static method in class de.tilman_neumann.jml.roots.Roots: Computes the i.th root of N, using either a bitwise correction approach (for rather big roots i) or a Heron iteration procedure (for rather small roots i).
ithRoot_Heron1(BigInteger, int) - Static method in class de.tilman_neumann.jml.roots.Roots: Heron-style i.th root implementation.
ithRoot_Heron2(BigInteger, int) - Static method in class de.tilman_neumann.jml.roots.Roots: Heron-style i.th root implementation.

J

jacobiSymbol(int, int) - Method in class de.tilman_neumann.jml.modular.JacobiSymbol
jacobiSymbol(int, BigInteger) - Method in class de.tilman_neumann.jml.modular.JacobiSymbol
jacobiSymbol(BigInteger, int) - Method in class de.tilman_neumann.jml.modular.JacobiSymbol
jacobiSymbol(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.modular.JacobiSymbol: Jacobi symbol J(a|m), with m an odd, positive integer.
JacobiSymbol - Class in de.tilman_neumann.jml.modular: Jacobi symbol.
JacobiSymbol() - Constructor for class de.tilman_neumann.jml.modular.JacobiSymbol
JacobiTest - Class in de.tilman_neumann.jml.modular: Test of Legendre and Jacobi symbol.
JacobiTest() - Constructor for class de.tilman_neumann.jml.modular.JacobiTest
JAVA_CLASS_PATH - Static variable in class de.tilman_neumann.util.ConfigUtil: Java class path
JAVA_LIBRARY_PATH - Static variable in class de.tilman_neumann.util.ConfigUtil: Java library path
JAVA_TMP_DIR - Static variable in class de.tilman_neumann.util.ConfigUtil: Java temp directory

K

KnuthSchroeppel - Class in de.tilman_neumann.jml.factor.siqs: Computation of the Knuth-Schroeppel multiplier k for the quadratic sieve.
KnuthSchroeppel() - Constructor for class de.tilman_neumann.jml.factor.siqs.KnuthSchroeppel
KnuthSchroeppel_CFrac - Class in de.tilman_neumann.jml.factor.cfrac: Computation of Knuth-Schroeppel multipliers for CFrac following [Pomerance 1983: "Implementation of the continued fraction integer factoring algorithm"].
KnuthSchroeppel_CFrac() - Constructor for class de.tilman_neumann.jml.factor.cfrac.KnuthSchroeppel_CFrac
kroneckerSymbol(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.modular.JacobiSymbol: The Kronecker symbol K(a|m) generalizes the Jacobi symbol J(a|m) for arbitrary natural numbers m.

L

last() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet
lastPrime - Variable in class de.tilman_neumann.jml.primes.PrimeGapTest.StackElement
lcm(BigInteger[]) - Static method in class de.tilman_neumann.jml.gcd.Gcd: Least common multiple of k arguments n1, n2, ..., nk.
lcm(BigInteger, BigInteger) - Static method in class de.tilman_neumann.jml.gcd.Gcd: Least common multiple of two arguments.
lcm(Collection<BigInteger>) - Static method in class de.tilman_neumann.jml.gcd.Gcd: Least common multiple of k arguments n1, n2, ..., nk.
LegendreSymbol - Class in de.tilman_neumann.jml.modular: Computation of the Legendre symbol using Eulers formula.
LegendreSymbol() - Constructor for class de.tilman_neumann.jml.modular.LegendreSymbol
Lehman_AnalyzeCongruences - Class in de.tilman_neumann.jml.factor.lehman: Analyze the moduli of a-values that help the Lehman algorithm to find factors.
Lehman_AnalyzeCongruences() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeCongruences
Lehman_AnalyzeCongruences2 - Class in de.tilman_neumann.jml.factor.lehman: Analyze a-values that help the Lehman algorithm to find factors, modulo powers of 2.
Lehman_AnalyzeCongruences2() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeCongruences2
Lehman_AnalyzeKFactoringMostN - Class in de.tilman_neumann.jml.factor.lehman: Try to find the best k-sequence.
Lehman_AnalyzeKFactoringMostN() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKFactoringMostN
Lehman_AnalyzeKFactoringSameN - Class in de.tilman_neumann.jml.factor.lehman: Analyze the frequency with which different k find a factor.
Lehman_AnalyzeKFactoringSameN() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKFactoringSameN
Lehman_AnalyzeKMods - Class in de.tilman_neumann.jml.factor.lehman: Analyze the frequency with which different k-moduli % MOD find a factor.
Lehman_AnalyzeKMods(int) - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKMods
Lehman_AnalyzeKProgressions - Class in de.tilman_neumann.jml.factor.lehman: Analyze the frequency with which different arithmetic progressions (k = start + step*m) find a factor.
Lehman_AnalyzeKProgressions() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKProgressions
Lehman_AnalyzeKProgressions2 - Class in de.tilman_neumann.jml.factor.lehman: Analyze the frequency with which different arithmetic progressions (k = start + step*m) find a factor.
Lehman_AnalyzeKProgressions2() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKProgressions2
Lehman_AnalyzeKStructure - Class in de.tilman_neumann.jml.factor.lehman: Analyze the frequency with which different k find a factor.
Lehman_AnalyzeKStructure() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKStructure
Lehman_AnalyzeModPowersOf2 - Class in de.tilman_neumann.jml.factor.lehman: Analyze quadratic residues of a^2 - 4kN (mod m) for m=2, 4, 8, 16, 32, 64,...
Lehman_AnalyzeModPowersOf2() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeModPowersOf2
Lehman_AnalyzeSpecialArguments - Class in de.tilman_neumann.jml.factor.lehman: Lehman analyzer that finds the correct k- and a-values of inputs other algorithms can not cope with.
Lehman_AnalyzeSpecialArguments() - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeSpecialArguments
Lehman_CustomKOrder - Class in de.tilman_neumann.jml.factor.lehman: A variant of Lehman's algorithm that allows to arrange the k's in arrays of different "performance levels".
Lehman_CustomKOrder(boolean) - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_CustomKOrder: Full constructor.
Lehman_Fast - Class in de.tilman_neumann.jml.factor.lehman: Fast implementation of Lehman's factor algorithm.
Lehman_Fast(boolean) - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_Fast: Full constructor.
Lehman_Simple - Class in de.tilman_neumann.jml.factor.lehman: Simple implementation of Lehmans factor algorithm, following https://programmingpraxis.com/2017/08/22/lehmans-factoring-algorithm/, using fast inverse trial division.
Lehman_Simple(boolean) - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_Simple: Full constructor.
Lehman_Smith - Class in de.tilman_neumann.jml.factor.lehman: An attempt to reproduce Warren D.
Lehman_Smith(boolean) - Constructor for class de.tilman_neumann.jml.factor.lehman.Lehman_Smith: Full constructor.
ln(BigDecimal, Precision) - Static method in class de.tilman_neumann.jml.transcendental.Ln
ln(BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.transcendental.Ln: Compute the natural logarithm of x, for x>0.
Ln - Class in de.tilman_neumann.jml.transcendental: Implementation of the natural logarithm function for BigDecimals.
Ln() - Constructor for class de.tilman_neumann.jml.transcendental.Ln
ln2(Scale) - Static method in class de.tilman_neumann.jml.transcendental.Ln: Faster ln2 implementation, computing the series expansion of 2^(1/k) for some optimally chosen k.
lnPMultiplier - Variable in class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams: multiplier to scale ln(p) values to the chosen log base
LOG10_TO_LOG2_MULTIPLIER - Static variable in class de.tilman_neumann.jml.precision.Magnitude: Multiplier to convert log10-values to log2-values.
LOG2_TO_LOG10_MULTIPLIER - Static variable in class de.tilman_neumann.jml.precision.Magnitude: Multiplier to convert log2-values to log10-values.
logPArray - Variable in class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: log-values of the primes or powers
logPower - Variable in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
longValue() - Method in class de.tilman_neumann.jml.base.BigRational
longValue() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
LucasTest - Class in de.tilman_neumann.jml.primes.probable: Lucas probable prime tests.
LucasTest() - Constructor for class de.tilman_neumann.jml.primes.probable.LucasTest

M

Magnitude - Class in de.tilman_neumann.jml.precision
Magnitude() - Constructor for class de.tilman_neumann.jml.precision.Magnitude
main(String[]) - Static method in class de.tilman_neumann.jml.base.BigIntConverter
main(String[]) - Static method in class de.tilman_neumann.jml.base.Uint128: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.base.UnsignedBigIntTest: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.BinarySearch
main(String[]) - Static method in class de.tilman_neumann.jml.ChebyshevPolynomials: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.CollatzSequenceTest
main(String[]) - Static method in class de.tilman_neumann.jml.combinatorics.Binomial: Test
main(String[]) - Static method in class de.tilman_neumann.jml.combinatorics.Factorial: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.combinatorics.FallingFactorial: Test
main(String[]) - Static method in class de.tilman_neumann.jml.combinatorics.Stirling: Tests.
main(String[]) - Static method in class de.tilman_neumann.jml.Divisors: Tests.
main(String[]) - Static method in class de.tilman_neumann.jml.EgyptianFractionsTriangle
main(String[]) - Static method in class de.tilman_neumann.jml.factor.BatchFactorizer
main(String[]) - Static method in class de.tilman_neumann.jml.factor.cfrac.CFrac: Standalone test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.CombinedFactorAlgorithm: Run with command-line arguments or console input (if no command-line arguments are given).
main(String[]) - Static method in class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethod
main(String[]) - Static method in class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethodTest
main(String[]) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm63
main(String[]) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontInline
main(String[]) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr
main(String[]) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64
main(String[]) - Static method in class de.tilman_neumann.jml.factor.FactorizerTest: Test factor algorithms for sets of factor arguments of growing size and report timings after each set.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.hart.Hart_AnalyzeCongruences
main(String[]) - Static method in class de.tilman_neumann.jml.factor.hart.Hart_AnalyzeSquareCongruences: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.hart.Hart_Fast: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.hart.Hart_Fast2Mult: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.hart.Hart_Simple: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.hart.Hart_Squarefree: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.hart.Hart_TDiv_Race2: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.IsSqrt_Test
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeCongruences
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeCongruences2
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKFactoringMostN
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKFactoringSameN
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKMods
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKProgressions
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKProgressions2
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeKStructure
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeModPowersOf2
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_AnalyzeSpecialArguments
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_CustomKOrder: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_Fast: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.lehman.Lehman_Smith: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent31: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery63: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery64: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomeryR64Mul63: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.psiqs.PSIQS_U: Stand-alone test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.siqs.poly.BParamTest
main(String[]) - Static method in class de.tilman_neumann.jml.factor.siqs.SIQS_Small: Stand-alone test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.siqs.SIQS: Stand-alone test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.squfof.SquFoF31: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.squfof.SquFoF31Preload: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.squfof.SquFoF63: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.tdiv.TDiv63Inverse: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.TestsetGenerator: A simple main function to generate hard semi-primes.
main(String[]) - Static method in class de.tilman_neumann.jml.factor.TestsetGeneratorTest
main(String[]) - Static method in class de.tilman_neumann.jml.FermatCatalanConjectureTest
main(String[]) - Static method in class de.tilman_neumann.jml.HarmonicNumbers
main(String[]) - Static method in class de.tilman_neumann.jml.modular.JacobiTest: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.modular.ModularSqrtTest: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.MoebiusFunction: Tests.
main(String[]) - Static method in class de.tilman_neumann.jml.partitions.IntegerPartitionGenerator: Test
main(String[]) - Static method in class de.tilman_neumann.jml.partitions.MpiPartitionGenerator: Test
main(String[]) - Static method in class de.tilman_neumann.jml.partitions.MpiPartitionGeneratorTest: Test
main(String[]) - Static method in class de.tilman_neumann.jml.partitions.PrimePowers_DefaultImpl: Check relationship between set of divisors and powermap.
main(String[]) - Static method in class de.tilman_neumann.jml.powers.PurePowerTest: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBoundsTest
main(String[]) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBoundsTest
main(String[]) - Static method in class de.tilman_neumann.jml.primes.exact.SegmentedSieve: Test performance without load caused by processPrime().
main(String[]) - Static method in class de.tilman_neumann.jml.primes.exact.SieveTest: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.primes.exact.SimpleSieve: Test performance without load caused by processPrime().
main(String[]) - Static method in class de.tilman_neumann.jml.primes.exact.SSOZJ
main(String[]) - Static method in class de.tilman_neumann.jml.primes.PrimeCountsBetweenSquares
main(String[]) - Static method in class de.tilman_neumann.jml.primes.PrimeGapTest
main(String[]) - Static method in class de.tilman_neumann.jml.primes.probable.NextProbablePrimeTest: Stand-alone test.
main(String[]) - Static method in class de.tilman_neumann.jml.primes.RiemannHypothesisTest
main(String[]) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowNTest01: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowNTest02: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod3PowNTest: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowNTest01: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowNTest02: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.roots.Roots: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.roots.RootsReal: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.roots.SqrtInt: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.roots.SqrtReal: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.sequence.SquarefreeSequence
main(String[]) - Static method in class de.tilman_neumann.jml.sequence.SquarefreeSequence63
main(String[]) - Static method in class de.tilman_neumann.jml.smooth.CANEntry: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.SumOf4Squares: A test of the hypothesis that A023105(2^n) == 2 + the number of entries of A004215 that are less than 2^n, for n>0.
main(String[]) - Static method in class de.tilman_neumann.jml.transcendental.Agm
main(String[]) - Static method in class de.tilman_neumann.jml.transcendental.EulerConstant: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.transcendental.Exp: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.transcendental.Ln: Test.
main(String[]) - Static method in class de.tilman_neumann.jml.transcendental.Pi: Test.
MatrixRow - Class in de.tilman_neumann.jml.factor.base.matrixSolver: A congruence used by the matrix solver where the elements have been mapped to integer indices.
MatrixRow(IndexSet, IndexSet) - Constructor for class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixRow: Full constructor.
matrixSolver - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase: The solver used for smooth congruence equation systems.
MatrixSolver - Class in de.tilman_neumann.jml.factor.base.matrixSolver: Base implementation for a congruence equation system (the "LinAlg phase matrix") solver.
MatrixSolver() - Constructor for class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver
MatrixSolver01_Gauss - Class in de.tilman_neumann.jml.factor.base.matrixSolver: A simple congruence equation system solver, doing Gaussian elimination.
MatrixSolver01_Gauss() - Constructor for class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver01_Gauss
MatrixSolver02_BlockLanczos - Class in de.tilman_neumann.jml.factor.base.matrixSolver: An adapter for Dario Alpern's Block-Lanczos solver.
MatrixSolver02_BlockLanczos() - Constructor for class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver02_BlockLanczos
max(Collection<Integer>) - Static method in class de.tilman_neumann.jml.base.IntCollectionUtil: Returns the maximum value of the given non-negative integer collection.
maxNextPart(Mpi, Mpi) - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
maxNextPart(Mpi, Mpi) - Method in interface de.tilman_neumann.jml.partitions.Mpi: Special operation computing the biggest allowed subvalue of this that is not greater than lastPart and not greater than this-firstPart.
maxQRest - Variable in class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams: maximal Q_rest accepted as smooth candidate
maxQRestExponent - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
MillerRabinTest - Class in de.tilman_neumann.jml.primes.probable: Miller-Rabin probable prime test.
MillerRabinTest() - Constructor for class de.tilman_neumann.jml.primes.probable.MillerRabinTest
Mmult - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
mod(int) - Method in class de.tilman_neumann.jml.base.UnsignedBigInt: Compute the remainder of this modulo divisor.
MODERATE_SEMIPRIMES - de.tilman_neumann.jml.factor.TestNumberNature: Odd semiprimes N=a*b with min(a,b) >= cbrt(N).
modPow(int, int, int) - Method in class de.tilman_neumann.jml.modular.ModularPower: Computes a^b (mod c) for all-int arguments.
modPow(BigInteger, int, int) - Method in class de.tilman_neumann.jml.modular.ModularPower: Computes a^b (mod c) for a BigInteger, b, c int.
modularInverse(int, int) - Method in class de.tilman_neumann.jml.gcd.EEA31: Slightly faster modular inverse initializing variables with first iteration and needing one step less at the end.
modularInverse(long, long) - Method in class de.tilman_neumann.jml.gcd.EEA63: Compute the modular inverse x of a mod p, i.e.
modularInverse_v1(int, int) - Method in class de.tilman_neumann.jml.gcd.EEA31: Computes only the modular inverse a = (1/x) mod y.
modularInverse_v1(long, long) - Method in class de.tilman_neumann.jml.gcd.EEA63: Computes only the modular inverse a = (1/x) mod y.
modularInverse_v2(long, long) - Method in class de.tilman_neumann.jml.gcd.EEA63: Slightly faster modular inverse initializing variables with first iteration and needing one step less at the end.
ModularPower - Class in de.tilman_neumann.jml.modular: Modular power.
ModularPower() - Constructor for class de.tilman_neumann.jml.modular.ModularPower
modularSqrt(int, int) - Method in class de.tilman_neumann.jml.modular.ModularSqrt31: Compute the modular sqrt t with t^2 == n (mod p).
modularSqrt(BigInteger, int) - Method in class de.tilman_neumann.jml.modular.ModularSqrt: Compute the modular sqrt t with t^2 == n (mod p).
modularSqrt(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.modular.ModularSqrt_BB: Compute the modular sqrt t with t^2 == n (mod p).
ModularSqrt - Class in de.tilman_neumann.jml.modular: Compute modular sqrts t with t^2 == n (mod p) and u with u^2 == n (mod p^e) using Tonelli-Shanks' algorithm.
ModularSqrt() - Constructor for class de.tilman_neumann.jml.modular.ModularSqrt
ModularSqrt_BB - Class in de.tilman_neumann.jml.modular: Compute modular sqrts t with t^2 == n (mod p) and u with u^2 == n (mod p^e) using Tonelli-Shanks' algorithm.
ModularSqrt_BB() - Constructor for class de.tilman_neumann.jml.modular.ModularSqrt_BB
ModularSqrt31 - Class in de.tilman_neumann.jml.modular: Compute modular sqrts t with t^2 == n (mod p) and u with u^2 == n (mod p^e) using Tonelli-Shanks' algorithm.
ModularSqrt31() - Constructor for class de.tilman_neumann.jml.modular.ModularSqrt31
modularSqrtModPower(int, int, int, int) - Method in class de.tilman_neumann.jml.modular.ModularSqrt31: General solution of u^2 == n (mod p^exponent), well explained in [http://mathoverflow.net/questions/52081/is-there-an-efficient-algorithm-for-finding-a-square-root-modulo-a-prime-power, Gottfried Barthel].
modularSqrtModPower(BigInteger, int, int, int) - Method in class de.tilman_neumann.jml.modular.ModularSqrt: General solution of u^2 == n (mod p^exponent), well explained in [http://mathoverflow.net/questions/52081/is-there-an-efficient-algorithm-for-finding-a-square-root-modulo-a-prime-power, Gottfried Barthel].
modularSqrtModPower(BigInteger, BigInteger, BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.modular.ModularSqrt_BB: General solution of u^2 == n (mod p^exponent), well explained in [http://mathoverflow.net/questions/52081/is-there-an-efficient-algorithm-for-finding-a-square-root-modulo-a-prime-power, Gottfried Barthel].
modularSqrtModSquare_v01(BigInteger, BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.modular.ModularSqrt_BB: Simplest algorithm to compute solutions u of u^2 == n (mod p^2).
modularSqrtModSquare_v02(BigInteger, BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.modular.ModularSqrt_BB: A faster version to compute solutions u of u^2 == n (mod p^2), doing modular arithmetics (mod p) only, which is an application of lifting via Hensels lemma.
ModularSqrtsEngine - Class in de.tilman_neumann.jml.factor.siqs: Engine to compute the smallest modular sqrts for all elements of the prime base.
ModularSqrtsEngine() - Constructor for class de.tilman_neumann.jml.factor.siqs.ModularSqrtsEngine
ModularSqrtTest - Class in de.tilman_neumann.jml.modular
ModularSqrtTest() - Constructor for class de.tilman_neumann.jml.modular.ModularSqrtTest
moebius(BigInteger) - Static method in class de.tilman_neumann.jml.MoebiusFunction: Computes the value of the Moebius function at n.
MoebiusFunction - Class in de.tilman_neumann.jml: Implementations of the Moebius function.
MontgomeryMult - Class in de.tilman_neumann.jml.factor.ecm: Montgomery multiplication, extracted from Dario Alpern's Ecm program.
MontgomeryMult(int[], int) - Constructor for class de.tilman_neumann.jml.factor.ecm.MontgomeryMult
montMul63(long, long, long, long) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm63: Montgomery multiplication of a*b mod n with regard to R=2^63.
montMul63(long, long, long, long) - Static method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomeryR64Mul63: Montgomery multiplication of a*b mod n with regard to R=2^63.
montMul64(long, long, long, long) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontInline: Montgomery multiplication of a*b mod n.
montMul64(long, long, long, long) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr: Montgomery multiplication of a*b mod n.
montMul64(long, long, long, long) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64: Montgomery multiplication of a*b mod n.
montMul64(long, long, long, long) - Static method in class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery64: Montgomery multiplication of a*b mod n.
montSqr64(long, long, long) - Static method in class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr: Montgomery square of a mod n.
Mpi - Interface in de.tilman_neumann.jml.partitions: A multipartite number like [1,3,4,2,0,1].
Mpi_IntegerArrayImpl - Class in de.tilman_neumann.jml.partitions: int[] implementation of a multipartite number like [1,3,4,2,0,1].
Mpi_IntegerArrayImpl(int) - Constructor for class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl: Constructor for zero-initialized mpi with dim entries.
Mpi_IntegerArrayImpl(int[]) - Constructor for class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl: Constructor from element array, with element copy.
Mpi_IntegerArrayImpl(Mpi) - Constructor for class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl: Copy constructor.
Mpi_IntegerArrayImpl(String) - Constructor for class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl: Constructor from a comma-separated string of values.
Mpi_IntegerArrayImpl(Collection<Integer>) - Constructor for class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl: Constructor from value collection.
MpiPartition - Class in de.tilman_neumann.jml.partitions: A partition of a multipartite integer.
MpiPartition() - Constructor for class de.tilman_neumann.jml.partitions.MpiPartition
MpiPartition(Mpi[]) - Constructor for class de.tilman_neumann.jml.partitions.MpiPartition
MpiPartitionGenerator - Class in de.tilman_neumann.jml.partitions: A generator for the additive partitions of multipartite numbers.
MpiPartitionGenerator(Mpi) - Constructor for class de.tilman_neumann.jml.partitions.MpiPartitionGenerator: Complete constructor for a generator of the partitions of the multivariate number q.
MpiPartitionGeneratorTest - Class in de.tilman_neumann.jml.partitions
MpiPartitionGeneratorTest() - Constructor for class de.tilman_neumann.jml.partitions.MpiPartitionGeneratorTest
MpiPowerMap - Class in de.tilman_neumann.jml.partitions: A map from all "subvalues" s of a multipartite number q with 1
mul(int[], int[], int[]) - Method in class de.tilman_neumann.jml.factor.ecm.MontgomeryMult
mul63(long, long) - Static method in class de.tilman_neumann.jml.base.Uint128: Multiplication of unsigned 63 bit integers, following https://stackoverflow.com/questions/18859207/high-bits-of-long-multiplication-in-java.
mul64(long, long) - Static method in class de.tilman_neumann.jml.base.Uint128: Multiplication of unsigned 64 bit integers with simplified carry recognition.
mul64_getLow(long, long) - Static method in class de.tilman_neumann.jml.base.Uint128: Computes the low part of the product of two unsigned 64 bit integers.
mul64_v1(long, long) - Static method in class de.tilman_neumann.jml.base.Uint128: Multiplication of unsigned 64 bit integers, following https://stackoverflow.com/questions/18859207/high-bits-of-long-multiplication-in-java.
mulPow2(BigDecimal, int) - Static method in class de.tilman_neumann.jml.powers.Pow2: Multiplication with the n.th power of 2.
multinomial(int[]) - Static method in class de.tilman_neumann.jml.combinatorics.Multinomial: Multinomial coefficient.
Multinomial - Class in de.tilman_neumann.jml.combinatorics: Multinomial coefficient implementations.
Multinomial() - Constructor for class de.tilman_neumann.jml.combinatorics.Multinomial
multiplierFinder - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
multiply(int) - Method in class de.tilman_neumann.jml.precision.Precision
multiply(int) - Method in class de.tilman_neumann.jml.precision.Scale
multiply(BigIntPoly) - Method in class de.tilman_neumann.jml.base.BigIntPoly: Multiply by another polynomial.
multiply(BigRational) - Method in class de.tilman_neumann.jml.base.BigRational: Computes the product of this and the argument.
multiply(BigDecimal, long) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Computes the product a*b without precision loss.
multiply(BigDecimal, BigRational, Precision) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Computes the product of a and b.
Precision is the natural accuracy measure for multiplications because for each argument, each piece of it (bit, digit, ...) makes its own independent contribution to the result precision.
multiply(BigDecimal, BigRational, Scale) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath
multiply(BigDecimal, BigInteger) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Multiplication without precision loss.
multiply(BigInteger) - Method in class de.tilman_neumann.jml.base.BigRational: Computes the product of this and the argument.
Multiset_HashMapImpl<T> - Class in de.tilman_neumann.util: A set of unsorted elements with multiple occurences.
Multiset_HashMapImpl() - Constructor for class de.tilman_neumann.util.Multiset_HashMapImpl: Constructor for an empty multiset.
Multiset_HashMapImpl(Collection<T>) - Constructor for class de.tilman_neumann.util.Multiset_HashMapImpl: Constructor from an ordinary collection.
Multiset_HashMapImpl(Multiset<T>) - Constructor for class de.tilman_neumann.util.Multiset_HashMapImpl: Copy constructor.
Multiset_HashMapImpl(T[]) - Constructor for class de.tilman_neumann.util.Multiset_HashMapImpl: Constructor from a value array.

N

N - Variable in class de.tilman_neumann.jml.factor.base.FactorArguments: The number to factor
NBits - Variable in class de.tilman_neumann.jml.factor.base.FactorArguments: The number of bits of N
negate() - Method in class de.tilman_neumann.jml.base.BigRational
next() - Method in interface de.tilman_neumann.jml.partitions.Generator
next() - Method in class de.tilman_neumann.jml.partitions.IntegerPartitionGenerator: Compute the next partition of the input.
next() - Method in class de.tilman_neumann.jml.partitions.MpiPartitionGenerator: Compute the next partition of the multipartite input.
next() - Method in interface de.tilman_neumann.jml.sequence.NumberSequence
next() - Method in class de.tilman_neumann.jml.sequence.SquarefreeSequence
next() - Method in class de.tilman_neumann.jml.sequence.SquarefreeSequence63
next() - Method in class de.tilman_neumann.jml.smooth.CANIterator
next() - Method in class de.tilman_neumann.jml.smooth.SHCNIterator
nextInt(int, int) - Method in class de.tilman_neumann.jml.base.Rng: Creates a random integer from the uniform distribution U[min, max-1].
nextLong(long) - Method in class de.tilman_neumann.jml.base.Rng: Creates a random long from the uniform distribution U[0, max-1].
nextLong(long, long) - Method in class de.tilman_neumann.jml.base.Rng: Creates a random long from the uniform distribution U[min, max-1].
nextPolynomial() - Method in class de.tilman_neumann.jml.factor.siqs.poly.SIQSPolyGenerator: Compute a new polynomial.
nextProbablePrime(BigInteger) - Method in class de.tilman_neumann.jml.primes.probable.BPSWTest
nextProbablePrime(BigInteger) - Method in class de.tilman_neumann.jml.primes.probable.PrPTest
NextProbablePrimeTest - Class in de.tilman_neumann.jml.primes.probable: Performance test of nextProbablePrime() implementations.
NextProbablePrimeTest() - Constructor for class de.tilman_neumann.jml.primes.probable.NextProbablePrimeTest
nextStirling1Diag(BigInteger[], int, int) - Static method in class de.tilman_neumann.jml.combinatorics.Stirling
NoPowerFinder - Class in de.tilman_neumann.jml.factor.siqs.powers: Dummy implementation of PowerFinder that ignores powers.
NoPowerFinder() - Constructor for class de.tilman_neumann.jml.factor.siqs.powers.NoPowerFinder
normalize() - Method in class de.tilman_neumann.jml.base.BigRational
NthPrimeUpperBounds - Class in de.tilman_neumann.jml.primes.bounds: Bounds for the n.th prime p(n).
NthPrimeUpperBoundsTest - Class in de.tilman_neumann.jml.primes.bounds: Test of upper bound estimates for the n.th prime.
NthPrimeUpperBoundsTest() - Constructor for class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBoundsTest
NUM_PRIMES_FOR_31_BIT_TDIV - Static variable in class de.tilman_neumann.jml.factor.FactorAlgorithm: the number of primes needed to factor any int <= 2^31 - 1 using trial division
NUMBER_OF_PROCESSORS - Static variable in class de.tilman_neumann.util.ConfigUtil: number of processors to use for parallel implementations
NumberGrid<U> - Class in de.tilman_neumann.jml.base: A two-dimensional number grid with pretty-print method.
NumberGrid(String, int, int, String, int, int) - Constructor for class de.tilman_neumann.jml.base.NumberGrid: Full constructor with all options.
NumberGrid(String, int, String, int) - Constructor for class de.tilman_neumann.jml.base.NumberGrid: Simplified constructor with offsets 1.
numberOfFactorizationsOf(BigInteger) - Static method in class de.tilman_neumann.jml.partitions.MpiPartitionGenerator: Computes the number of essentially different prime factorizations of n.
numberOfPartitionsOf(Mpi) - Static method in class de.tilman_neumann.jml.partitions.MpiPartitionGenerator: Counts the number of partitions of the given multipartite integer.
numberOfThreads - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
NumberSequence<T> - Interface in de.tilman_neumann.jml.sequence: Interface for number sequences of type T.

O

of(double) - Static method in class de.tilman_neumann.jml.precision.Magnitude
of(double) - Static method in class de.tilman_neumann.jml.precision.Precision
of(double) - Static method in class de.tilman_neumann.jml.precision.Scale
of(float) - Static method in class de.tilman_neumann.jml.precision.Magnitude
of(float) - Static method in class de.tilman_neumann.jml.precision.Precision
of(float) - Static method in class de.tilman_neumann.jml.precision.Scale
of(long) - Static method in class de.tilman_neumann.jml.precision.Magnitude
of(BigRational) - Static method in class de.tilman_neumann.jml.precision.Magnitude
of(BigDecimal) - Static method in class de.tilman_neumann.jml.precision.Magnitude
of(BigDecimal) - Static method in class de.tilman_neumann.jml.precision.Precision: The precision of a BigDecimal, with 0 for zero values.
of(BigDecimal) - Static method in class de.tilman_neumann.jml.precision.Scale
of(BigInteger) - Static method in class de.tilman_neumann.jml.precision.Magnitude: Gives the absolute size of n in decimal digits.
on(T) - Method in interface de.tilman_neumann.jml.primes.exact.SSOZJ.Callback
ONE - Static variable in class de.tilman_neumann.jml.base.BigRational
ONE_HALF - Static variable in class de.tilman_neumann.jml.base.BigRational
org.matheclipse.gpl.numbertheory - package org.matheclipse.gpl.numbertheory

P

p - Variable in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
Pair<U,V> - Class in de.tilman_neumann.util: A simple utility class combining two values of arbitrary types to one object.
Pair(U, V) - Constructor for class de.tilman_neumann.util.Pair
pArray - Variable in class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: powers, e.g.
Partial - Class in de.tilman_neumann.jml.factor.base.congruence: Base class for partial congruences.
Partial(BigInteger, SortedIntegerArray) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Partial: Full constructor.
Partial_1Large - Class in de.tilman_neumann.jml.factor.base.congruence: A partial congruence having 1 large factor.
Partial_1Large(BigInteger, SortedIntegerArray, long) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Partial_1Large: Full constructor.
Partial_2Large - Class in de.tilman_neumann.jml.factor.base.congruence: A partial congruence having 2 distinct large factors.
Partial_2Large(BigInteger, SortedIntegerArray, long, long) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Partial_2Large: Full constructor.
Partial_nLarge - Class in de.tilman_neumann.jml.factor.base.congruence: A partial congruence having an arbitrary number of large factors.
Partial_nLarge(BigInteger, SortedIntegerArray, SortedLongArray) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Partial_nLarge: Full constructor.
PartialSolver - Class in de.tilman_neumann.jml.factor.base.congruence: A Gaussian solver used to find smooth from partial relations.
PartialSolver() - Constructor for class de.tilman_neumann.jml.factor.base.congruence.PartialSolver
partitionsOf(int) - Static method in class de.tilman_neumann.jml.partitions.IntegerPartitionGenerator: Computes the partitions of the given number.
partitionsOf(Mpi) - Static method in class de.tilman_neumann.jml.partitions.MpiPartitionGenerator: Computes the partitions of the given multipartite number.
PATH_SEPARATOR - Static variable in class de.tilman_neumann.util.ConfigUtil: Path separator used on this OS.
pi(Scale) - Static method in class de.tilman_neumann.jml.transcendental.Pi: Compute Pi using the approximation formula found by Plouffe and the Borwein brothers also used in mpfr.
Pi - Class in de.tilman_neumann.jml.transcendental: Computations of Pi = 3.1415...
Pi() - Constructor for class de.tilman_neumann.jml.transcendental.Pi
pinvArrayD - Variable in class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: 1/p for all primes/powers
pinvArrayL - Variable in class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: 2^32 / p for all primes/powers
pinvD - Variable in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
pinvL - Variable in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
pMax - Variable in class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams: the largest prime in the prime base
pMin - Variable in class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams: the smallest prime used for sieving.
pMinIndex - Variable in class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams: the index of the smallest prime used for sieving.
PollardRho - Class in de.tilman_neumann.jml.factor.pollardRho: From: http://www.cs.princeton.edu/introcs/79crypto/PollardRho.java (INTRODUCTION TO COMPUTER SCIENCE by Robert Sedgewick and Kevin Wayne) Pollards Rho method.
PollardRho() - Constructor for class de.tilman_neumann.jml.factor.pollardRho.PollardRho
PollardRho_ProductGcd - Class in de.tilman_neumann.jml.factor.pollardRho: Pollard's Rho algorithm improved by doing the GCD on products.
PollardRho_ProductGcd() - Constructor for class de.tilman_neumann.jml.factor.pollardRho.PollardRho_ProductGcd
PollardRho31 - Class in de.tilman_neumann.jml.factor.pollardRho: 31-bit implementation of Pollard' Rho method.
PollardRho31() - Constructor for class de.tilman_neumann.jml.factor.pollardRho.PollardRho31
PollardRhoBrent - Class in de.tilman_neumann.jml.factor.pollardRho: Brents's improvement of Pollard's Rho algorithm, following [Richard P.
PollardRhoBrent() - Constructor for class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent
PollardRhoBrent31 - Class in de.tilman_neumann.jml.factor.pollardRho: Brents's improvement of Pollard's Rho algorithm, following [Richard P.
PollardRhoBrent31() - Constructor for class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrent31
PollardRhoBrentMontgomery63 - Class in de.tilman_neumann.jml.factor.pollardRho: Brents's improvement of Pollard's Rho algorithm using Montgomery multiplication.
PollardRhoBrentMontgomery63() - Constructor for class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery63
PollardRhoBrentMontgomery64 - Class in de.tilman_neumann.jml.factor.pollardRho: Brents's improvement of Pollard's Rho algorithm using Montgomery multiplication.
PollardRhoBrentMontgomery64() - Constructor for class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomery64
PollardRhoBrentMontgomeryR64Mul63 - Class in de.tilman_neumann.jml.factor.pollardRho: Brents's improvement of Pollard's Rho algorithm using Montgomery multiplication.
PollardRhoBrentMontgomeryR64Mul63() - Constructor for class de.tilman_neumann.jml.factor.pollardRho.PollardRhoBrentMontgomeryR64Mul63
polyGenerator - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
PolyReport - Class in de.tilman_neumann.jml.factor.siqs.poly: Reports about a polynomial generator.
PolyReport(int, int, long, long, long, long, long, long) - Constructor for class de.tilman_neumann.jml.factor.siqs.poly.PolyReport
pow(BigDecimal, int, Scale) - Static method in class de.tilman_neumann.jml.powers.Pow
pow(BigDecimal, BigInteger, Precision) - Static method in class de.tilman_neumann.jml.powers.Pow: Power function for large integer exponents (also negative)
Pow - Class in de.tilman_neumann.jml.powers
Pow() - Constructor for class de.tilman_neumann.jml.powers.Pow
pow2(int) - Static method in class de.tilman_neumann.jml.powers.Pow2: Power of 2 with integer exponent.
Pow2 - Class in de.tilman_neumann.jml.powers
Pow2() - Constructor for class de.tilman_neumann.jml.powers.Pow2
power - Variable in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
PowerEntry - Class in de.tilman_neumann.jml.factor.siqs.powers: Auxiliary class that allows to get the powers sorted bottom-up by the power value.
PowerEntry(int, int, int, int, byte) - Constructor for class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
powerFinder - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
PowerFinder - Interface in de.tilman_neumann.jml.factor.siqs.powers
PowerOfSmallPrimesFinder - Class in de.tilman_neumann.jml.factor.siqs.powers: Algorithm to find the first powers of all p
PowerOfSmallPrimesFinder() - Constructor for class de.tilman_neumann.jml.factor.siqs.powers.PowerOfSmallPrimesFinder
powJavaTrunc(BigDecimal, int, Precision) - Static method in class de.tilman_neumann.jml.powers.Pow
Precision - Class in de.tilman_neumann.jml.precision: Relative precision for BigDecimal operations.
prime - Variable in class de.tilman_neumann.jml.primes.PrimeGapTest.StackElement
PRIME_FACTORIZATION - de.tilman_neumann.jml.factor.TestMode: Find the prime factorization of a given N.
PrimeBaseGenerator - Class in de.tilman_neumann.jml.factor.base: Prime base generator.
PrimeBaseGenerator() - Constructor for class de.tilman_neumann.jml.factor.base.PrimeBaseGenerator
PrimeCountsBetweenSquares - Class in de.tilman_neumann.jml.primes: Find #primes between consecutive squares.
PrimeCountsBetweenSquares(long) - Constructor for class de.tilman_neumann.jml.primes.PrimeCountsBetweenSquares
PrimeCountUpperBounds - Class in de.tilman_neumann.jml.primes.bounds: Bounds for the prime counting function pi(x) = number of primes in (0, x].
PrimeCountUpperBoundsTest - Class in de.tilman_neumann.jml.primes.bounds: Test of upper bound estimates for the prime count function.
PrimeCountUpperBoundsTest() - Constructor for class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBoundsTest
primeFactors - Variable in class de.tilman_neumann.jml.factor.base.FactorResult: factors that are at least probable prime
PrimeGapTest - Class in de.tilman_neumann.jml.primes: Find primes with relatively large prime gaps, say ratios p(i)/p(i-1) > p(k)/p(k-1) for all k > i.
PrimeGapTest(long) - Constructor for class de.tilman_neumann.jml.primes.PrimeGapTest
PrimeGapTest.StackElement - Class in de.tilman_neumann.jml.primes
PrimePowers - Interface in de.tilman_neumann.jml.partitions: Product of primes implemented as an multipartite integer.
PrimePowers_DefaultImpl - Class in de.tilman_neumann.jml.partitions
primes - Variable in class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: The prime base
processNullVector(Set<AQPair>) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver
processPrime(long) - Method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBoundsTest: Fallback method: Receives new primes from the sieve and checks the upper bound estimates for the n.th prime p(n).
processPrime(long) - Method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBoundsTest: Fallback method: Receives new primes from the sieve and checks the upper bound estimates for the prime count function.
processPrime(long) - Method in class de.tilman_neumann.jml.primes.exact.AutoExpandingPrimesArray: Fallback method: Receives new primes from the sieve and stores them in the array.
processPrime(long) - Method in class de.tilman_neumann.jml.primes.exact.CollectingCallback
processPrime(long) - Method in class de.tilman_neumann.jml.primes.exact.CountingCallback
processPrime(long) - Method in interface de.tilman_neumann.jml.primes.exact.SieveCallback
processPrime(long) - Method in class de.tilman_neumann.jml.primes.PrimeCountsBetweenSquares
processPrime(long) - Method in class de.tilman_neumann.jml.primes.PrimeGapTest
product(Collection<BigInteger>) - Static method in class de.tilman_neumann.jml.base.BigIntCollectionUtil
PROJECT_ROOT - Static variable in class de.tilman_neumann.util.ConfigUtil: The root directory of the current project.
PrPTest - Class in de.tilman_neumann.jml.primes.probable: A probable prime test for arbitrary precision numbers.
PrPTest() - Constructor for class de.tilman_neumann.jml.primes.probable.PrPTest
PSIQS - Class in de.tilman_neumann.jml.factor.psiqs: Multi-threaded SIQS using Sieve03g.
PSIQS(float, float, Integer, Float, int, PowerFinder, MatrixSolver) - Constructor for class de.tilman_neumann.jml.factor.psiqs.PSIQS: Standard constructor.
PSIQS_SBH_U - Class in de.tilman_neumann.jml.factor.psiqs: Multi-threaded SIQS using the single block hybrid sieve.
PSIQS_SBH_U(float, float, Integer, Float, int, int, PowerFinder, MatrixSolver) - Constructor for class de.tilman_neumann.jml.factor.psiqs.PSIQS_SBH_U: Standard constructor.
PSIQS_U - Class in de.tilman_neumann.jml.factor.psiqs: Multi-threaded SIQS using Sieve03gU.
PSIQS_U(float, float, Integer, Float, int, PowerFinder, MatrixSolver) - Constructor for class de.tilman_neumann.jml.factor.psiqs.PSIQS_U: Standard constructor.
PSIQSBase - Class in de.tilman_neumann.jml.factor.psiqs: Multi-threaded SIQS, the fastest factor algorithm in this project.
PSIQSBase(float, float, Float, int, Integer, PowerFinder, MatrixSolver, AParamGenerator) - Constructor for class de.tilman_neumann.jml.factor.psiqs.PSIQSBase: Standard constructor.
PSIQSThread - Class in de.tilman_neumann.jml.factor.psiqs: A polynomial generation/sieve/trial division thread using Sieve03g.
PSIQSThread(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, AParamGenerator, CongruenceCollectorParallel, int) - Constructor for class de.tilman_neumann.jml.factor.psiqs.PSIQSThread: Standard constructor.
PSIQSThread_SBH_U - Class in de.tilman_neumann.jml.factor.psiqs: A polynomial generation/sieve/trial division thread using the single block hybrid sieve.
PSIQSThread_SBH_U(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, int, AParamGenerator, CongruenceCollectorParallel, int) - Constructor for class de.tilman_neumann.jml.factor.psiqs.PSIQSThread_SBH_U: Standard constructor.
PSIQSThread_U - Class in de.tilman_neumann.jml.factor.psiqs: A polynomial generation/sieve/trial division thread using Sieve03gU.
PSIQSThread_U(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, AParamGenerator, CongruenceCollectorParallel, int) - Constructor for class de.tilman_neumann.jml.factor.psiqs.PSIQSThread_U: Standard constructor.
PSIQSThreadBase - Class in de.tilman_neumann.jml.factor.psiqs: Base class for polynomial generation/sieve/trial division threads for the parallel SIQS implementation (PSIQS).
PSIQSThreadBase(int, BigInteger, BigInteger, int, SieveParams, BaseArrays, AParamGenerator, SIQSPolyGenerator, Sieve, TDiv_QS, CongruenceCollectorParallel, int) - Constructor for class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase: Standard constructor.
PurePowerTest - Class in de.tilman_neumann.jml.powers: Test for pure powers (with exponent >= 2).
PurePowerTest() - Constructor for class de.tilman_neumann.jml.powers.PurePowerTest
PurePowerTest.Result - Class in de.tilman_neumann.jml.powers

Q

QuadraticResidues - Class in de.tilman_neumann.jml.quadraticResidues: Methods to generate quadratic residues or test for quadratic residuosity for general moduli m.
QuadraticResidues() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResidues
QuadraticResiduesMod2PowN - Class in de.tilman_neumann.jml.quadraticResidues: Methods to generate quadratic residues or test for quadratic residuosity modulus 2^n.
QuadraticResiduesMod2PowN() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowN
QuadraticResiduesMod2PowNTest01 - Class in de.tilman_neumann.jml.quadraticResidues: Tests of quadratic residue computations modulo general m.
QuadraticResiduesMod2PowNTest01() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowNTest01
QuadraticResiduesMod2PowNTest02 - Class in de.tilman_neumann.jml.quadraticResidues: Tests of quadratic residue computations modulo 2^n.
QuadraticResiduesMod2PowNTest02() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod2PowNTest02
QuadraticResiduesMod3PowN - Class in de.tilman_neumann.jml.quadraticResidues: Methods to generate quadratic residues or test for quadratic residuosity modulus 3^n.
QuadraticResiduesMod3PowN() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod3PowN
QuadraticResiduesMod3PowNTest - Class in de.tilman_neumann.jml.quadraticResidues: Tests of quadratic residue computations modulo 3^n.
QuadraticResiduesMod3PowNTest() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesMod3PowNTest
QuadraticResiduesModBPowN - Class in de.tilman_neumann.jml.quadraticResidues: Methods to generate quadratic residues or test for quadratic residuosity modulus p^n, where p is an odd prime.
QuadraticResiduesModBPowN() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowN
QuadraticResiduesModBPowNTest01 - Class in de.tilman_neumann.jml.quadraticResidues: Tests of quadratic residue computations modulo P^n.
QuadraticResiduesModBPowNTest01() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowNTest01
QuadraticResiduesModBPowNTest02 - Class in de.tilman_neumann.jml.quadraticResidues: Tests of quadratic residue computations modulo P^n.
QuadraticResiduesModBPowNTest02() - Constructor for class de.tilman_neumann.jml.quadraticResidues.QuadraticResiduesModBPowNTest02
quickInsort(Collection<? extends T>) - Method in class de.tilman_neumann.util.SortedList: Sort the given collection into this.
quickInsort(T) - Method in class de.tilman_neumann.util.SortedList: Sorts a single new object into this.
QUITE_HARD_SEMIPRIMES - de.tilman_neumann.jml.factor.TestNumberNature: Odd semiprimes N=a*b with bitLength(min(a,b)) == bitLength(N)/2 - 1 bits.

R

RANDOM_COMPOSITES - de.tilman_neumann.jml.factor.TestNumberNature: Arbitrary random composite numbers N chosen from a certain bit length.
RANDOM_ODD_COMPOSITES - de.tilman_neumann.jml.factor.TestNumberNature: Random odd composite numbers N chosen from a certain bit length.
ratio - Variable in class de.tilman_neumann.jml.primes.PrimeGapTest.StackElement
reciprocal() - Method in class de.tilman_neumann.jml.base.BigRational
ReflectionUtil - Class in de.tilman_neumann.util: Static auxiliary methods for java objects meta data.
remove(Object) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
remove(T, int) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
removeAll(T) - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
removeSingletons(List<Partial>, Map<Long, ArrayList<Partial>>) - Method in class de.tilman_neumann.jml.factor.base.congruence.PartialSolver: Remove singletons from congruences.
removeSingletons(List<Smooth>, Map<Integer, ArrayList<Smooth>>) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver: Remove singletons from congruences.
repeat(String, int) - Static method in class de.tilman_neumann.util.StringUtil: Concatenates string s n times.
reset() - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray: reset() must be called before using for a new Q.
reset() - Method in class de.tilman_neumann.jml.factor.base.SortedLongArray: reset() must be called before using for a new Q.
reset() - Method in interface de.tilman_neumann.jml.sequence.NumberSequence: Reset sequence so that it starts again with its first element.
reset() - Method in class de.tilman_neumann.jml.sequence.SquarefreeSequence
reset() - Method in class de.tilman_neumann.jml.sequence.SquarefreeSequence63
Result(int, int, int) - Constructor for class de.tilman_neumann.jml.gcd.EEA31.Result
Result(long, long, long) - Constructor for class de.tilman_neumann.jml.gcd.EEA63.Result
Result(SolutionArrays, int, int[]) - Constructor for class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter.Result
Result(BigInteger, int) - Constructor for class de.tilman_neumann.jml.powers.PurePowerTest.Result
RiemannHypothesisTest - Class in de.tilman_neumann.jml.primes: Tests Robins and Lagarias' Riemann hypothesis tests on colossally abundant numbers (CANs).
RiemannHypothesisTest() - Constructor for class de.tilman_neumann.jml.primes.RiemannHypothesisTest
Rng - Class in de.tilman_neumann.jml.base: Simple helper class to generate random numbers.
Rng() - Constructor for class de.tilman_neumann.jml.base.Rng
Robin1983(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Robin 1983 "for n >= 7022": My tests say it works for n >= 8601.
RobinJacobsen(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Robin 1983 modified by D.Jacobsen for n = 6...39016 _only_.
Roots - Class in de.tilman_neumann.jml.roots: i.th root of integers.
Roots() - Constructor for class de.tilman_neumann.jml.roots.Roots
RootsReal - Class in de.tilman_neumann.jml.roots: i.th root of floating point numbers.
RootsReal() - Constructor for class de.tilman_neumann.jml.roots.RootsReal
Rosser_Schoenfeld(long) - Static method in class de.tilman_neumann.jml.primes.bounds.PrimeCountUpperBounds: Rosser, Schoenfeld: pi(x) < 1.25506*x / ln(x) for x > 1.
RosserSchoenfeld01(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Rosser/Schoenfeld 1961 for n >= 6.
RosserSchoenfeld02(long) - Static method in class de.tilman_neumann.jml.primes.bounds.NthPrimeUpperBounds: Rosser/Schoenfeld 1961 for n >= 20.
roundInt(BigDecimal) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Round x to the nearest integer.
rStirling1(int, int, int) - Static method in class de.tilman_neumann.jml.combinatorics.Stirling: Compute r-Stirling numbers of the first kind s(n,k,r)
run() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
run() - Method in class de.tilman_neumann.jml.primes.PrimeCountsBetweenSquares
run() - Method in class de.tilman_neumann.jml.primes.PrimeGapTest

S

Scale - Class in de.tilman_neumann.jml.precision: Immutable class for precision statements in after-floating point decimal digits.
searchFactors(FactorArguments, FactorResult) - Method in class de.tilman_neumann.jml.factor.CombinedFactorAlgorithm
searchFactors(FactorArguments, FactorResult) - Method in class de.tilman_neumann.jml.factor.ecm.EllipticCurveMethod: Find small factors of some N.
searchFactors(FactorArguments, FactorResult) - Method in class de.tilman_neumann.jml.factor.FactorAlgorithm: Try to find at least one factor of the given args.N, which is composite and odd.
searchFactors(FactorArguments, FactorResult) - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSBase
searchFactors(FactorArguments, FactorResult) - Method in class de.tilman_neumann.jml.factor.siqs.SIQS_Small
searchFactors(FactorArguments, FactorResult) - Method in class de.tilman_neumann.jml.factor.siqs.SIQS
searchFactors(FactorArguments, FactorResult) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv: Tries to find small factors of a positive, possibly large argument N by doing trial division by all primes p <= pLimit.
SegmentedSieve - Class in de.tilman_neumann.jml.primes.exact: Segmented sieve of Eratosthenes based on Kim Walisch's implementation at http://primesieve.org/segmented_sieve.html
SegmentedSieve(SieveCallback) - Constructor for class de.tilman_neumann.jml.primes.exact.SegmentedSieve
set(int, int, BigInteger) - Method in class de.tilman_neumann.jml.base.BigIntTriangle: Sets the value T[n,k].
set(int, BigInteger) - Method in class de.tilman_neumann.jml.base.BigIntPoly: Set a polynomial coefficient.
set(BigInteger) - Method in class de.tilman_neumann.jml.base.UnsignedBigInt: Sets this to the given BigInteger N.
setBParameter(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large_UBI
setBParameter(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large
setBParameter(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI_BarrettD
setBParameter(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI
setBParameter(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge_UBI
setBParameter(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge
setBParameter(BigInteger) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_Small
setBParameter(BigInteger) - Method in interface de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS: Set a new b-parameter.
setElem(int, int) - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
setElem(int, int) - Method in interface de.tilman_neumann.jml.partitions.Mpi: Sets the entry of the given index, with 0<=index
setFinishNow() - Method in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
setTestLimit(int) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv: Set the upper limit of primes to be tested.
setTestLimit(int) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63: Set the upper limit of primes to be tested.
setTestLimit(int) - Method in class de.tilman_neumann.jml.factor.tdiv.TDiv63Inverse: Set the upper limit of primes to be tested.
SHCNEntry - Class in de.tilman_neumann.jml.smooth: A superior highly composite number (SHCN), together with some information that was necessary to compute it.
SHCNIterator - Class in de.tilman_neumann.jml.smooth: Iterator for superior highly composite numbers 2,6,12,...
SHCNIterator() - Constructor for class de.tilman_neumann.jml.smooth.SHCNIterator
shiftLeft(int) - Method in class de.tilman_neumann.jml.base.Uint128: Shift this 'bits' bits to the left.
shiftRight(int) - Method in class de.tilman_neumann.jml.base.Uint128: Shift this 'bits' bits to the right.
sieve - Variable in class de.tilman_neumann.jml.factor.psiqs.PSIQSThreadBase
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieve
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockHybridSieveU
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.DoubleBlockSieve
sieve() - Method in interface de.tilman_neumann.jml.factor.siqs.sieve.Sieve: Sieve for a new set of x1, x2 solutions.
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03g
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03gU
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SimpleSieve
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieve
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieveU
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieve
sieve() - Method in class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieveU
sieve(long) - Method in class de.tilman_neumann.jml.primes.exact.SegmentedSieve: Generate primes.
sieve(long) - Method in class de.tilman_neumann.jml.primes.exact.SimpleSieve: Generate primes.
Sieve - Interface in de.tilman_neumann.jml.factor.siqs.sieve: Interface for sieve algorithms.
Sieve03g - Class in de.tilman_neumann.jml.factor.siqs.sieve: Advanced non-segmented sieve implementation.
Sieve03g() - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03g
Sieve03gU - Class in de.tilman_neumann.jml.factor.siqs.sieve: Derivative of Sieve03g holding the sieve array in native memory.
Sieve03gU() - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.Sieve03gU
sieveArraySize - Variable in class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams: the size of the sieve array (per sign)
SieveCallback - Interface in de.tilman_neumann.jml.primes.exact: Segmented sieve callback interface.
SieveParams - Class in de.tilman_neumann.jml.factor.siqs.sieve: Basic parameters for the quadratic sieve.
SieveParams(BigInteger, int[], int, int, double, int) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.SieveParams
SieveReport - Class in de.tilman_neumann.jml.factor.siqs.sieve
SieveReport(long, long, long) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.SieveReport
SieveTest - Class in de.tilman_neumann.jml.primes.exact: Test performance and correctness of results of prime sieves.
SieveTest() - Constructor for class de.tilman_neumann.jml.primes.exact.SieveTest
signum() - Method in class de.tilman_neumann.jml.base.BigRational
SimpleSieve - Class in de.tilman_neumann.jml.factor.siqs.sieve: Simple non-segmented sieve.
SimpleSieve - Class in de.tilman_neumann.jml.primes.exact: Monolithic sieve of Eratosthenes, working only for limits < Integer.MAX_VALUE = 2^31 - 1.
SimpleSieve() - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.SimpleSieve
SimpleSieve(SieveCallback) - Constructor for class de.tilman_neumann.jml.primes.exact.SimpleSieve
SingleBlockHybridSieve - Class in de.tilman_neumann.jml.factor.siqs.sieve: Combination of a monolithic sieve for large primes > sieveArraySize/3, and a single block sieve for p < sieveArraySize/3.
SingleBlockHybridSieve(int) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieve: Full constructor.
SingleBlockHybridSieveU - Class in de.tilman_neumann.jml.factor.siqs.sieve: Combination of a monolithic sieve for large primes > sieveArraySize/3, and a single block sieve for p < sieveArraySize/3.
SingleBlockHybridSieveU(int) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockHybridSieveU: Full constructor.
SingleBlockSieve - Class in de.tilman_neumann.jml.factor.siqs.sieve: Single block sieve implementation, essentially following [Wambach, Wettig 1995].
SingleBlockSieve(int) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieve: Full constructor.
SingleBlockSieveU - Class in de.tilman_neumann.jml.factor.siqs.sieve: Single block sieve implementation, essentially following [Wambach, Wettig 1995].
SingleBlockSieveU(int) - Constructor for class de.tilman_neumann.jml.factor.siqs.sieve.SingleBlockSieveU: Full constructor.
SIQS - Class in de.tilman_neumann.jml.factor.siqs: Main class for single-threaded SIQS implementations.
SIQS(float, float, Integer, Float, PowerFinder, SIQSPolyGenerator, Sieve, TDiv_QS, int, MatrixSolver) - Constructor for class de.tilman_neumann.jml.factor.siqs.SIQS: Standard constructor.
SIQS_Small - Class in de.tilman_neumann.jml.factor.siqs: Single-threaded SIQS implementation used to factor the Q(x)-rests in the trial division stage of SIQS/PSIQS.
SIQS_Small(float, float, Integer, Float, SIQSPolyGenerator, int, boolean) - Constructor for class de.tilman_neumann.jml.factor.siqs.SIQS_Small: Standard constructor.
SIQSPolyGenerator - Class in de.tilman_neumann.jml.factor.siqs.poly: A generator for SIQS polynomials.
SIQSPolyGenerator() - Constructor for class de.tilman_neumann.jml.factor.siqs.poly.SIQSPolyGenerator
size() - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray
size() - Method in class de.tilman_neumann.jml.factor.base.SortedLongArray
smallestPossibleFactor - Variable in class de.tilman_neumann.jml.factor.base.FactorResult: the smallest factor that could occur in the unfactored rest, e.g.
Smooth - Interface in de.tilman_neumann.jml.factor.base.congruence: A smooth congruence.
Smooth_1LargeSquare - Class in de.tilman_neumann.jml.factor.base.congruence: A smooth congruence with 1 large factor contained as a square.
Smooth_1LargeSquare(BigInteger, SortedIntegerArray, long) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Smooth_1LargeSquare: Full constructor.
Smooth_Composite - Class in de.tilman_neumann.jml.factor.base.congruence: A smooth congruence composed from several partials.
Smooth_Composite(Set<? extends AQPair>) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Smooth_Composite: Constructor from several AQ-pairs.
Smooth_nLargeSquares - Class in de.tilman_neumann.jml.factor.base.congruence: A smooth congruence having an arbitrary number of large factors.
Smooth_nLargeSquares(BigInteger, SortedIntegerArray, SortedLongArray) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Smooth_nLargeSquares: Full constructor.
Smooth_Perfect - Class in de.tilman_neumann.jml.factor.base.congruence: A perfect smooth congruence.
Smooth_Perfect(BigInteger, SortedIntegerArray) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Smooth_Perfect: Full constructor.
Smooth_Simple - Class in de.tilman_neumann.jml.factor.base.congruence: A smooth congruence from a single AQ-pair.
Smooth_Simple(BigInteger, SortedIntegerArray) - Constructor for class de.tilman_neumann.jml.factor.base.congruence.Smooth_Simple
solutionArrays - Variable in class de.tilman_neumann.jml.factor.siqs.poly.baseFilter.BaseFilter.Result
SolutionArrays - Class in de.tilman_neumann.jml.factor.siqs.data: Passive data structure bundling primes/powers and their smallest x-solutions.
SolutionArrays(int, int) - Constructor for class de.tilman_neumann.jml.factor.siqs.data.SolutionArrays: Full constructor, allocates all arrays.
solve(Collection<? extends Partial>) - Method in class de.tilman_neumann.jml.factor.base.congruence.PartialSolver: Solve a partial congruence equation system.
solve(Collection<? extends Smooth>) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver: Main method to solve a congruence equation system.
solve(List<Partial>, Map<Long, Integer>) - Method in class de.tilman_neumann.jml.factor.base.congruence.PartialSolver: Create the matrix from the pre-processed congruences and solve it.
solve(List<Smooth>, Map<Integer, Integer>) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver: Create the matrix from the pre-processed congruences and solve it.
solve(List<Smooth>, Map<Integer, Integer>) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver01_Gauss
solve(List<Smooth>, Map<Integer, Integer>) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixSolver02_BlockLanczos
SomePowerFinder - Class in de.tilman_neumann.jml.factor.siqs.powers: Base class for PowerFinders that do indeed find some powers.
SomePowerFinder() - Constructor for class de.tilman_neumann.jml.factor.siqs.powers.SomePowerFinder
SortedIntegerArray - Class in de.tilman_neumann.jml.factor.base: A reused buffer to store small factors temporarily during trial division.
SortedIntegerArray() - Constructor for class de.tilman_neumann.jml.factor.base.SortedIntegerArray
SortedList<T> - Class in de.tilman_neumann.util: Sorted list.
SortedList(SortedList<T>) - Constructor for class de.tilman_neumann.util.SortedList: Copy constructor.
SortedList(Comparator<T>, SortOrder) - Constructor for class de.tilman_neumann.util.SortedList: Complete constructor for a list sorted in ascending or descending order, where the comparison is done by an explicit constructor or the comparable capability of list elements.
SortedLongArray - Class in de.tilman_neumann.jml.factor.base: A reused buffer to store big factors of partials temporarily during trial division.
SortedLongArray() - Constructor for class de.tilman_neumann.jml.factor.base.SortedLongArray
SortOrder - Enum in de.tilman_neumann.util: Sort orders.
spDivide(long) - Method in class de.tilman_neumann.jml.base.Uint128: Compute quotient and remainder of this / v.
sqrt(BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.roots.SqrtReal: Compute square root.
sqrt(BigDecimal, BigDecimal, Scale) - Static method in class de.tilman_neumann.jml.roots.SqrtReal: Compute square root with initial guess.
SqrtExact - Class in de.tilman_neumann.jml.roots: Fast recognition of exact integer squares, using the algorithm explained in class SqrtExactTest.
SqrtExact() - Constructor for class de.tilman_neumann.jml.roots.SqrtExact
SqrtInt - Class in de.tilman_neumann.jml.roots: Fast sqrt() computation with integer solutions using Herons (or "Babylonian") method and the built-in Math.sqrt() as initial guess.
SqrtInt() - Constructor for class de.tilman_neumann.jml.roots.SqrtInt
SqrtReal - Class in de.tilman_neumann.jml.roots: Compute square root of large numbers using Heron's method with a good initial guess.
SqrtReal() - Constructor for class de.tilman_neumann.jml.roots.SqrtReal
square64(long) - Static method in class de.tilman_neumann.jml.base.Uint128: The square of an unsigned 64 bit integer.
SquarefreeSequence - Class in de.tilman_neumann.jml.sequence: Sequence of multiplier * {squarefree numbers 1,2,3,5,6,7,10,11,13,...}, BigInteger implementation.
SquarefreeSequence(long) - Constructor for class de.tilman_neumann.jml.sequence.SquarefreeSequence
SquarefreeSequence(BigInteger) - Constructor for class de.tilman_neumann.jml.sequence.SquarefreeSequence
SquarefreeSequence63 - Class in de.tilman_neumann.jml.sequence: Sequence of multiplier * {squarefree numbers 1,2,3,5,6,7,10,11,13,...}, long implementation.
SquarefreeSequence63(long) - Constructor for class de.tilman_neumann.jml.sequence.SquarefreeSequence63
SquFoF31 - Class in de.tilman_neumann.jml.factor.squfof: Shanks' SQUFOF algorithm, 31-bit version.
SquFoF31() - Constructor for class de.tilman_neumann.jml.factor.squfof.SquFoF31
SquFoF31Preload - Class in de.tilman_neumann.jml.factor.squfof: Shanks' SQUFOF algorithm, 31-bit version.
SquFoF31Preload() - Constructor for class de.tilman_neumann.jml.factor.squfof.SquFoF31Preload
SquFoF63 - Class in de.tilman_neumann.jml.factor.squfof: Shanks' SQUFOF algorithm, 63-bit version.
Implemented according to http://en.wikipedia.org/wiki/Shanks'_square_forms_factorization.
SquFoF63() - Constructor for class de.tilman_neumann.jml.factor.squfof.SquFoF63
SSOZJ - Class in de.tilman_neumann.jml.primes.exact: This Java source file is a multiple threaded implementation to perform an extremely fast Segmented Sieve of Zakiya (SSoZ) to find Twin Primes <= N.
SSOZJ() - Constructor for class de.tilman_neumann.jml.primes.exact.SSOZJ
SSOZJ.Callback<T> - Interface in de.tilman_neumann.jml.primes.exact
StackElement(long, long, double) - Constructor for class de.tilman_neumann.jml.primes.PrimeGapTest.StackElement
standard(int) - Static method in class de.tilman_neumann.jml.combinatorics.HyperFactorial: A002109 or the standard "hyperfactorial" is the product {1^1*2^2*..n^n}.
start() - Method in class de.tilman_neumann.util.Timer: Restart timer.
Stirling - Class in de.tilman_neumann.jml.combinatorics: Computation of Stirling numbers.
Stirling() - Constructor for class de.tilman_neumann.jml.combinatorics.Stirling
stirling1(int, int) - Static method in class de.tilman_neumann.jml.combinatorics.Stirling: (Signed) Stirling numbers of the first kind.
stirling1Diag(int, int) - Static method in class de.tilman_neumann.jml.combinatorics.Stirling: Calculates the diagonal of Stirling numbers of the first kind S1(n-k+1,1), S1(n-k+2,2), ..., S1(n-1,k-1), S1(n,k).
stirling2(int, int) - Static method in class de.tilman_neumann.jml.combinatorics.Stirling: Stirling numbers of the second kind S(n,k).
stringToList(String) - Static method in class de.tilman_neumann.jml.base.BigIntCollectionUtil: Factory method creating a list of big integers from the given comma-separated string.
stringToList(String) - Static method in class de.tilman_neumann.jml.base.IntCollectionUtil: Converts the given comma-separated string into a list of Integers.
StringUtil - Class in de.tilman_neumann.util
subtract(BigRational) - Method in class de.tilman_neumann.jml.base.BigRational: Computes the subtraction of this and the argument.
subtract(Uint128) - Method in class de.tilman_neumann.jml.base.Uint128: Subtract two unsigned 128 bit integers.
subtract(Mpi) - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
subtract(Mpi) - Method in interface de.tilman_neumann.jml.partitions.Mpi: Returns the pair [lower, upper] of consecutive subvalues of this (according to the ordering relation) such that lower + other <= this and upper + other >= this.
subtract(BigDecimal, BigInteger) - Static method in class de.tilman_neumann.jml.base.BigDecimalMath: Computes the difference of a and b.
sum() - Method in class de.tilman_neumann.jml.partitions.IntegerPartition
sum(Collection<BigInteger>) - Static method in class de.tilman_neumann.jml.base.BigIntCollectionUtil
SumOf4Squares - Class in de.tilman_neumann.jml: Stuff concerning sums of 4 squares representations of natural numbers.
SumOf4Squares() - Constructor for class de.tilman_neumann.jml.SumOf4Squares
sumOfDivisors(BigInteger) - Static method in class de.tilman_neumann.jml.Divisors
sumOfDivisors(SortedMap<BigInteger, Integer>) - Static method in class de.tilman_neumann.jml.Divisors: Fast sum of divisors when the prime factorization is known.

T

t - Variable in class de.tilman_neumann.jml.factor.siqs.powers.PowerEntry
tArray - Variable in class de.tilman_neumann.jml.factor.siqs.data.BaseArrays: the modular sqrt's t with t^2==kN (mod p) for primes p, or t^2==kN (mod power) for powers
TDiv - Class in de.tilman_neumann.jml.factor.tdiv: Trial division for large arguments.
TDiv() - Constructor for class de.tilman_neumann.jml.factor.tdiv.TDiv
TDiv_CF - Interface in de.tilman_neumann.jml.factor.cfrac.tdiv: Interface for auxiliary factor algorithms to find smooth decompositions of Q's.
TDiv_CF01 - Class in de.tilman_neumann.jml.factor.cfrac.tdiv: Auxiliary factor algorithm to find smooth decompositions of Q's.
TDiv_CF01() - Constructor for class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF01
TDiv_CF02 - Class in de.tilman_neumann.jml.factor.cfrac.tdiv: Auxiliary factor algorithm to find smooth decompositions of Q's.
TDiv_CF02() - Constructor for class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF02
TDiv_CF03 - Class in de.tilman_neumann.jml.factor.cfrac.tdiv: Auxiliary factor algorithm to find smooth decompositions of Q's.
TDiv_CF03() - Constructor for class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF03
TDiv_CF63 - Interface in de.tilman_neumann.jml.factor.cfrac.tdiv: Interface for auxiliary factor algorithms to find smooth decompositions of Q's.
TDiv_CF63_01 - Class in de.tilman_neumann.jml.factor.cfrac.tdiv: Auxiliary factor algorithm to find smooth decompositions of Q's.
TDiv_CF63_01() - Constructor for class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_01
TDiv_CF63_02 - Class in de.tilman_neumann.jml.factor.cfrac.tdiv: Auxiliary factor algorithm to find smooth decompositions of Q's.
TDiv_CF63_02() - Constructor for class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_02
TDiv_QS - Interface in de.tilman_neumann.jml.factor.siqs.tdiv: Interface for trial division engines to find the factorization of smooth Q(x) with given x.
TDiv_QS_1Large - Class in de.tilman_neumann.jml.factor.siqs.tdiv: A trial division engine where partials can only have 1 large factor.
TDiv_QS_1Large() - Constructor for class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large
TDiv_QS_1Large_UBI - Class in de.tilman_neumann.jml.factor.siqs.tdiv: A trial division engine where partials can only have 1 large factor.
TDiv_QS_1Large_UBI() - Constructor for class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large_UBI
TDiv_QS_2Large_UBI - Class in de.tilman_neumann.jml.factor.siqs.tdiv: A trial division engine where partials can have up to 2 large factors.
TDiv_QS_2Large_UBI(boolean) - Constructor for class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI: Full constructor.
TDiv_QS_2Large_UBI_BarrettD - Class in de.tilman_neumann.jml.factor.siqs.tdiv: A trial division engine where partials can have up to 2 large factors.
TDiv_QS_2Large_UBI_BarrettD(boolean) - Constructor for class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI_BarrettD: Full constructor.
TDiv_QS_nLarge - Class in de.tilman_neumann.jml.factor.siqs.tdiv: A trial division engine where partials can have several large factors.
TDiv_QS_nLarge(boolean) - Constructor for class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge: Full constructor.
TDiv_QS_nLarge_UBI - Class in de.tilman_neumann.jml.factor.siqs.tdiv: A trial division engine where partials can have several large factors.
TDiv_QS_nLarge_UBI(boolean) - Constructor for class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge_UBI: Full constructor.
TDiv_QS_Small - Class in de.tilman_neumann.jml.factor.siqs.tdiv: A trial division engine used by SIQS_Small.
TDiv_QS_Small() - Constructor for class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_Small
TDiv31 - Class in de.tilman_neumann.jml.factor.tdiv: Trial division factor algorithm using the safe AutoExpandingPrimesArray class.
TDiv31() - Constructor for class de.tilman_neumann.jml.factor.tdiv.TDiv31
TDiv31Barrett - Class in de.tilman_neumann.jml.factor.tdiv: Trial division using long-valued Barrett reduction, see https://en.wikipedia.org/wiki/Barrett_reduction.
TDiv31Barrett() - Constructor for class de.tilman_neumann.jml.factor.tdiv.TDiv31Barrett
TDiv31Inverse - Class in de.tilman_neumann.jml.factor.tdiv: Trial division factor algorithm using double-valued Barrett reduction, thus replacing division by multiplications.
TDiv31Inverse() - Constructor for class de.tilman_neumann.jml.factor.tdiv.TDiv31Inverse
TDiv63 - Class in de.tilman_neumann.jml.factor.tdiv: Trial division factor algorithm using the safe AutoExpandingPrimesArray class.
TDiv63() - Constructor for class de.tilman_neumann.jml.factor.tdiv.TDiv63
TDiv63Inverse - Class in de.tilman_neumann.jml.factor.tdiv: Trial division factor algorithm replacing division by multiplications.
TDiv63Inverse(int) - Constructor for class de.tilman_neumann.jml.factor.tdiv.TDiv63Inverse: Create a trial division algorithm that is capable of finding factors up to factorLimit.
tdivLimit - Variable in class de.tilman_neumann.jml.factor.FactorAlgorithm
TDivPrimeTest - Class in de.tilman_neumann.jml.primes.probable: A deterministic prime test for N < 32 bit using fast trial division.
TDivReport - Class in de.tilman_neumann.jml.factor.siqs.tdiv
TDivReport(long, long, long, long, long, long, long, Multiset<Integer>) - Constructor for class de.tilman_neumann.jml.factor.siqs.tdiv.TDivReport
test() - Method in class de.tilman_neumann.jml.factor.cfrac.CFrac
test() - Method in class de.tilman_neumann.jml.factor.hart.HartLA63
test(int) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF31
test(int) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF31Preload
test(long) - Method in class de.tilman_neumann.jml.factor.cfrac.CFrac63
test(long) - Method in class de.tilman_neumann.jml.factor.squfof.SquFoF63
test(BigInteger) - Method in class de.tilman_neumann.jml.powers.PurePowerTest: Much faster power test, elaborated together with Graeme Willoughby.
test(BigInteger, long) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_01
test(BigInteger, long) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63_02
test(BigInteger, long) - Method in interface de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF63: Check if Q is smooth (factors completely over the prime base) or "sufficiently smooth" (factors almost over the prime base).
test(BigInteger, BigInteger) - Method in interface de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF: Check if Q is smooth (factors completely over the prime base) or "sufficiently smooth" (factors almost over the prime base).
test(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF01
test(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF02
test(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.factor.cfrac.tdiv.TDiv_CF03
test_v01(BigInteger) - Method in class de.tilman_neumann.jml.powers.PurePowerTest: Test if N is a pure power.

The algorithm is based on {@link "https://en.wikipedia.org/wiki/Rational_sieve#Limitations_of_the_algorithm"}, with several improvements pointed out by to Graeme Willoughby:
1.
testBases(BigInteger, BigInteger[]) - Method in class de.tilman_neumann.jml.primes.probable.MillerRabinTest: Perform Miller-Rabin test of N to several bases.
testForFactor(Set<AQPair>) - Method in interface de.tilman_neumann.jml.factor.base.matrixSolver.FactorTest: Test if a square congruence A^2 == Q (mod kN) gives a factor of N.
testForFactor(Set<AQPair>) - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.FactorTest01: Test if a square congruence A^2 == Q (mod kN) gives a factor of N.
testList(List<Integer>) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large_UBI
testList(List<Integer>) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_1Large
testList(List<Integer>) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI_BarrettD
testList(List<Integer>) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_2Large_UBI
testList(List<Integer>) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge_UBI
testList(List<Integer>) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_nLarge
testList(List<Integer>) - Method in class de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS_Small
testList(List<Integer>) - Method in interface de.tilman_neumann.jml.factor.siqs.tdiv.TDiv_QS: Test if Q(x) is smooth (factors completely over the prime base) or "sufficiently smooth" (factors almost over the prime base) for all x in the given list.
TestMode - Enum in de.tilman_neumann.jml.factor: Factoring test mode.
TestNumberNature - Enum in de.tilman_neumann.jml.factor: Definition of the "nature" of test numbers.
TestsetGenerator - Class in de.tilman_neumann.jml.factor: Generation of random N that are not too easy to factor.
TestsetGenerator() - Constructor for class de.tilman_neumann.jml.factor.TestsetGenerator
TestsetGeneratorTest - Class in de.tilman_neumann.jml.factor
TestsetGeneratorTest() - Constructor for class de.tilman_neumann.jml.factor.TestsetGeneratorTest
testSingleBase(BigInteger, BigInteger) - Method in class de.tilman_neumann.jml.primes.probable.MillerRabinTest: Perform a single Miller-Rabin test of N to base x.
timeDiffStr(long, long) - Static method in class de.tilman_neumann.util.TimeUtil
Timer - Class in de.tilman_neumann.util: A simple time recorder.
Timer() - Constructor for class de.tilman_neumann.util.Timer: Full constructor, starts timer.
timeStr(long) - Static method in class de.tilman_neumann.util.TimeUtil
TimeUtil - Class in de.tilman_neumann.util: Auxiliary class for formatting time strings.
TimeUtil() - Constructor for class de.tilman_neumann.util.TimeUtil
TinyEcm63 - Class in de.tilman_neumann.jml.factor.ecm: A port of Ben Buhrow's tinyecm.c (https://www.mersenneforum.org/showpost.php?p=521028&postcount=84) an ECM implementation for unsigned 64 bit integers.
TinyEcm63() - Constructor for class de.tilman_neumann.jml.factor.ecm.TinyEcm63
TinyEcm63.EcmResult - Class in de.tilman_neumann.jml.factor.ecm
TinyEcm64 - Class in de.tilman_neumann.jml.factor.ecm: A port of Ben Buhrow's tinyecm.c (https://www.mersenneforum.org/showpost.php?p=521028&postcount=84) an ECM implementation for unsigned 64 bit integers.
TinyEcm64() - Constructor for class de.tilman_neumann.jml.factor.ecm.TinyEcm64
TinyEcm64_MontInline - Class in de.tilman_neumann.jml.factor.ecm: A port of Ben Buhrow's tinyecm.c (https://www.mersenneforum.org/showpost.php?p=521028&postcount=84) an ECM implementation for unsigned 64 bit integers.
TinyEcm64_MontInline() - Constructor for class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontInline
TinyEcm64_MontInline.EcmResult - Class in de.tilman_neumann.jml.factor.ecm
TinyEcm64_MontSqr - Class in de.tilman_neumann.jml.factor.ecm: A port of Ben Buhrow's tinyecm.c (https://www.mersenneforum.org/showpost.php?p=521028&postcount=84) an ECM implementation for unsigned 64 bit integers.
TinyEcm64_MontSqr() - Constructor for class de.tilman_neumann.jml.factor.ecm.TinyEcm64_MontSqr
TinyEcm64_MontSqr.EcmResult - Class in de.tilman_neumann.jml.factor.ecm
TinyEcm64.EcmResult - Class in de.tilman_neumann.jml.factor.ecm
toBigDecimal(Precision) - Method in class de.tilman_neumann.jml.base.BigRational
toBigDecimal(Scale) - Method in class de.tilman_neumann.jml.base.BigRational: Converts this to a BigDecimal with decPrec digits precision.
toBigInteger() - Method in class de.tilman_neumann.jml.base.Uint128: Convert this to BigInteger.
toBigInteger() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
toBinaryString() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
toList() - Method in class de.tilman_neumann.jml.base.BigIntTriangle
toList() - Method in class de.tilman_neumann.jml.base.NumberGrid
toList() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet
toList() - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
toString() - Method in class de.tilman_neumann.jml.base.BigIntTriangle
toString() - Method in class de.tilman_neumann.jml.base.BigRational
toString() - Method in class de.tilman_neumann.jml.base.NumberGrid
toString() - Method in class de.tilman_neumann.jml.base.Uint128
toString() - Method in class de.tilman_neumann.jml.base.UnsignedBigInt
toString() - Method in class de.tilman_neumann.jml.factor.base.congruence.AQPair
toString() - Method in class de.tilman_neumann.jml.factor.base.congruence.Smooth_Composite
toString() - Method in class de.tilman_neumann.jml.factor.base.FactorResult
toString() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.IndexSet
toString() - Method in class de.tilman_neumann.jml.factor.base.matrixSolver.MatrixRow
toString() - Method in class de.tilman_neumann.jml.factor.base.SortedIntegerArray
toString() - Method in class de.tilman_neumann.jml.factor.base.SortedLongArray
toString() - Method in class de.tilman_neumann.jml.gcd.EEA31.Result
toString() - Method in class de.tilman_neumann.jml.gcd.EEA63.Result
toString() - Method in class de.tilman_neumann.jml.partitions.IntegerPartition: Returns a sum-like representation of the additive multiset, with distinct keys separated by "+" and the multiplicity indicated by "*".
toString() - Method in class de.tilman_neumann.jml.partitions.Mpi_IntegerArrayImpl
toString() - Method in class de.tilman_neumann.jml.partitions.MpiPartition: Returns a sum-like representation of this partitions, with parts separated by "+" and the multiplicity indicated by "*".
toString() - Method in class de.tilman_neumann.jml.precision.Precision
toString() - Method in class de.tilman_neumann.jml.precision.Scale
toString() - Method in class de.tilman_neumann.util.Multiset_HashMapImpl: Returns a string representation of the unsorted multiset similar to collections, with distinct keys separated by commas and the multiplicity indicated by "^".
toString() - Method in class de.tilman_neumann.util.Pair
toString(Scale) - Method in class de.tilman_neumann.jml.base.BigRational: Converts this into a string with the given decimal digits precision.
totalCount() - Method in class de.tilman_neumann.util.Multiset_HashMapImpl
totalRuntime() - Method in class de.tilman_neumann.util.Timer

U

Uint128 - Class in de.tilman_neumann.jml.base: An incomplete 128 bit unsigned int implementation.
Uint128(long, long) - Constructor for class de.tilman_neumann.jml.base.Uint128
UnsafeUtil - Class in de.tilman_neumann.jml.factor.base: Utility to provide a sun.misc.Unsafe instance and manages native memory.
UnsignedBigInt - Class in de.tilman_neumann.jml.base: A very limited unsigned big integer implementation.
UnsignedBigInt(int[]) - Constructor for class de.tilman_neumann.jml.base.UnsignedBigInt: Constructor using the given buffer.
UnsignedBigInt(UnsignedBigInt) - Constructor for class de.tilman_neumann.jml.base.UnsignedBigInt: Copy constructor
UnsignedBigInt(BigInteger) - Constructor for class de.tilman_neumann.jml.base.UnsignedBigInt: Shortcut constructor for new UnsignedBigInt(); set(N);
UnsignedBigIntTest - Class in de.tilman_neumann.jml.base: Test for UnsignedBigInt classes.
UnsignedBigIntTest() - Constructor for class de.tilman_neumann.jml.base.UnsignedBigIntTest
untestedFactors - Variable in class de.tilman_neumann.jml.factor.base.FactorResult: factors whose primeness has not been checked yet
USE_FMA - Static variable in interface de.tilman_neumann.jml.factor.base.GlobalFactoringOptions: A switch to turn on using the "fused multiply-add" operation defined in IEEE 754-2008.
USER_HOME - Static variable in class de.tilman_neumann.util.ConfigUtil: user home directory

V

valueOf(int) - Static method in class de.tilman_neumann.jml.precision.Precision
valueOf(int) - Static method in class de.tilman_neumann.jml.precision.Scale
valueOf(String) - Static method in enum de.tilman_neumann.jml.factor.TestMode: Returns the enum constant of this type with the specified name.
valueOf(String) - Static method in enum de.tilman_neumann.jml.factor.TestNumberNature: Returns the enum constant of this type with the specified name.
valueOf(String) - Static method in enum de.tilman_neumann.util.SortOrder: Returns the enum constant of this type with the specified name.
valueOf(BigInteger) - Static method in class de.tilman_neumann.jml.partitions.PrimePowers_DefaultImpl: Factory method to create Mpi from the prime powers of n.
values() - Static method in enum de.tilman_neumann.jml.factor.TestMode: Returns an array containing the constants of this enum type, in the order they are declared.
values() - Static method in enum de.tilman_neumann.jml.factor.TestNumberNature: Returns an array containing the constants of this enum type, in the order they are declared.
values() - Static method in enum de.tilman_neumann.util.SortOrder: Returns an array containing the constants of this enum type, in the order they are declared.
verbose - Static variable in class de.tilman_neumann.util.ConfigUtil

W

withStartResult(int, int, BigInteger) - Static method in class de.tilman_neumann.jml.combinatorics.Factorial: Computes the factorial for non-negative integer arguments applying the simple product rule, but allowing for a previously computed start value.

X

x1Array - Variable in class de.tilman_neumann.jml.factor.siqs.data.SolutionArrays
x2Array - Variable in class de.tilman_neumann.jml.factor.siqs.data.SolutionArrays

Z

ZERO - Static variable in class de.tilman_neumann.jml.base.BigRational

A B C D E F G H I J K L M N O P Q R S T U V W X Z
All Classes All Packages