section 3 · Library functions 📚

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M (continued)

Math::BigRat(3pm)arbitrary size rational number math package✨
Math::BigRat(3pmc)arbitrary size rational number math package✨
Math::Calc::Units(3pm)Human-readable unit-aware calculator✨
Math::Calculus::Differentiate(3pm)Algebraic Differentiation Engine✨
Math::Calculus::Expression(3pm)Algebraic Calculus Tools Expression Class✨
Math::Calculus::NewtonRaphson(3pm)Algebraic Newton Raphson Implementation✨
Math::Cartesian::Product(3pm)Generate the Cartesian product of zero or more lists.✨
Math::Cephes(3pm)perl interface to the cephes math library✨
Math::Cephes::Complex(3pm)Perl interface to the cephes complex number routines✨
Math::Cephes::Fraction(3pm)Perl interface to the cephes math fraction routines✨
Math::Cephes::Matrix(3pm)Perl interface to the cephes matrix routines✨
Math::Cephes::Polynomial(3pm)Perl interface to the cephes math polynomial routines✨
Math::Clipper(3pm)Polygon clipping in 2D✨
Math::Combinatorics(3pm)Perform combinations and permutations on lists✨
Math::Complex(3perl)complex numbers and associated mathematical functions✨
Math::Complex(3pm)complex numbers and associated mathematical functions✨
Math::ConvexHull(3pm)Calculate convex hulls using Graham's scan (n*log(n))✨
Math::ConvexHull::MonotoneChain(3pm)Andrew's monotone chain algorithm for finding a convex hull in 2D✨
Math::Derivative(3pm)Numeric 1st and 2nd order differentiation✨
Math::Expression::Evaluator(3pm)parses, compiles and evaluates mathematic expressions✨
Math::Expression::Evaluator::Lexer(3pm)Simple Lexer✨
Math::Expression::Evaluator::Optimizer(3pm)Optimize Math::Expression::Evaluator ASTs✨
Math::Expression::Evaluator::Parser(3pm)Parse mathematical expressions✨
Math::Expression::Evaluator::Util(3pm)Common functions for Math::Expression::Evaluator✨
Math::Factor::XS(3pm)Factorize numbers and calculate matching multiplications✨
Math::FFT(3pm)Perl module to calculate Fast Fourier Transforms✨
Math::Fibonacci(3pm)Fibonacci numbers.✨
Math::Geometry::Voronoi(3pm)compute Voronoi diagrams from sets of points✨
Math::GMP(3pm)High speed arbitrary size integer math✨
Math::Gradient(3pm)Perl extension for calculating gradients for colour transitions, etc.✨
Math::GSL(3pm)Perl interface to the GNU Scientific Library (GSL)✨
Math::GSL::BLAS(3pm)Basic Linear Algebra Subprograms✨
Math::GSL::BSpline(3pm)Functions for the computation of smoothing basis splines✨
Math::GSL::CBLAS(3pm)Basic Linear Algebra Subprograms based on C functions✨
Math::GSL::CDF(3pm)Cumulative Distribution Functions✨
Math::GSL::Chebyshev(3pm)Univariate Chebyshev Series Approximation✨
Math::GSL::Combination(3pm)Combinations✨
Math::GSL::Complex(3pm)Complex Numbers✨
Math::GSL::Const(3pm)Constants✨
Math::GSL::Deriv(3pm)Numerical Derivatives✨
Math::GSL::DHT(3pm)Discrete Hankel Transforms✨
Math::GSL::Diff(3pm)Numerical differentiation routines✨
Math::GSL::Eigen(3pm)Functions for computing eigenvalues and eigenvectors of matrices✨
Math::GSL::Errno(3pm)Error Handling✨
Math::GSL::FFT(3pm)Fast Fourier Transforms (FFT)✨
Math::GSL::Fit(3pm)Least-squares functions for a general linear model with one- or two-parameter regression✨
Math::GSL::Heapsort(3pm)Functions for sorting data, both directly and indirectly (using an index)✨
Math::GSL::Histogram(3pm)Create and manipulate histograms of data✨
Math::GSL::Histogram2D(3pm)Create and manipulate histograms of data in 2 dimensions✨
Math::GSL::IEEEUtils(3pm)IEEE Utility Functions✨
Math::GSL::Integration(3pm)Routines for performing numerical integration (quadrature) of a function in one dimension✨
Math::GSL::Interp(3pm)Interpolation✨
Math::GSL::Linalg(3pm)Functions for solving linear systems✨
Math::GSL::Machine(3pm)Machine constants✨
Math::GSL::Matrix(3pm)Mathematical functions concerning Matrices✨
Math::GSL::MatrixComplex(3pm)Complex Matrices✨
Math::GSL::Min(3pm)1-D Minimization✨
Math::GSL::Monte(3pm)Multidimensional Monte Carlo integration✨
Math::GSL::Multifit(3pm)Least-squares functions for a general linear model with multiple parameters✨
Math::GSL::Multilarge(3pm)Least-squares functions for a general linear model with multiple parameters✨
Math::GSL::Multimin(3pm)Routines for finding minima of arbitrary multidimensional functions✨
Math::GSL::Multiroots(3pm)Multidimensional root-finding✨
Math::GSL::Multiset(3pm)Multisets manipulation✨
Math::GSL::NTuple(3pm)Functions for creating and manipulating ntuples, sets of values✨
Math::GSL::ODEIV(3pm)functions for solving ordinary differential equation (ODE) initial value problems✨
Math::GSL::Permutation(3pm)functions for creating and manipulating permutations✨
Math::GSL::Poly(3pm)Solve and evaluate polynomials✨
Math::GSL::PowInt(3pm)Integer Power functions✨
Math::GSL::QRNG(3pm)Quasi-random number generators✨
Math::GSL::Randist(3pm)Probability Distributions✨
Math::GSL::RNG(3pm)Random Number Generators✨
Math::GSL::Roots(3pm)Find roots of arbitrary 1-D functions✨
Math::GSL::Rstat(3pm)Running Statistical functions✨
Math::GSL::SF(3pm)Special Functions✨
Math::GSL::Siman(3pm)Simulated Annealing✨
Math::GSL::Sort(3pm)Functions for sorting data✨
Math::GSL::SparseMatrix(3pm)Sparse Matrices✨
Math::GSL::Spline(3pm)Splines✨
Math::GSL::Statistics(3pm)Statistical functions✨
Math::GSL::Sum(3pm)Sum series with the Levin u-transform✨
Math::GSL::Sys(3pm)Misc Math Functions✨
Math::GSL::Test(3pm)Assertions and such✨
Math::GSL::Vector(3pm)Functions concerning vectors✨
Math::GSL::VectorComplex(3pm)Complex Vectors✨
Math::GSL::Wavelet(3pm)1-D (Real) Wavelets✨
Math::GSL::Wavelet2D(3pm)2-D Wavelets✨
Math::Int128(3pm)Manipulate 128 bits integers in Perl✨
Math::Int128::die_on_overflow(3pm)catch overflows when using Math::Int128✨
Math::Int64(3pm)Manipulate 64 bits integers in Perl✨
Math::Int64::die_on_overflow(3pm)catch overflows when using Math::Int64✨
Math::Int64::native_if_available(3pm)Use the native Perl 64-bit integer implementation when available✨
Math::Libm(3pm)Perl extension for the C math library, libm✨
Math::libPARI(3pm)Functions and Operations Available in PARI and GP✨
Math::libPARI.dumb(3pm)Functions and Operations Available in PARI and GP✨
Math::Matrix::MaybeGSL(3pm)Uniform use of Math::MatrixReal and Math::GSL::Matrix.✨
Math::MatrixReal(3pm)Matrix of Reals Implements the data type "matrix of real numbers" (and consequently also "vector of real numbers").✨
Math::MPFR(3pm)perl interface to the MPFR (floating point) library.✨
Math::NoCarry(3pm)Perl extension for no-carry arithmetic✨
Math::NumberCruncher(3pm)Collection of useful math-related functions.✨
Math::NumSeq(3pm)number sequences✨
Math::NumSeq::Abundant(3pm)abundant numbers, greater than sum of divisors✨
Math::NumSeq::AlgebraicContinued(3pm)continued fraction expansion of algebraic numbers✨
Math::NumSeq::All(3pm)all integers✨
Math::NumSeq::AllDigits(3pm)digits of the integers✨
Math::NumSeq::AllPrimeFactors(3pm)prime factors of the integers✨
Math::NumSeq::AlmostPrimes(3pm)semiprimes and other fixed number of prime factors✨
Math::NumSeq::AsciiSelf(3pm)sequence is its own ASCII digits✨
Math::NumSeq::BalancedBinary(3pm)balanced 1,0 bits✨
Math::NumSeq::Base::IterateIth(3pm)iterate by calling ith() successively✨
Math::NumSeq::Base::IteratePred(3pm)iterate by searching with pred()✨
Math::NumSeq::BaumSweet(3pm)Baum-Sweet sequence✨
Math::NumSeq::Beastly(3pm)numbers containing digits "666"✨
Math::NumSeq::Catalan(3pm)Catalan numbers (2n)! / (n!*(n+1)!)✨
Math::NumSeq::CollatzSteps(3pm)steps in the "3n+1" problem✨
Math::NumSeq::ConcatNumbers(3pm)concatenate digits of i, i+1✨
Math::NumSeq::Cubes(3pm)cubes i**3✨
Math::NumSeq::CullenNumbers(3pm)Cullen numbers i*2^i+1✨
Math::NumSeq::DedekindPsiCumulative(3pm)cumulative Psi function✨
Math::NumSeq::DedekindPsiSteps(3pm)psi function until 2^x*3^y✨
Math::NumSeq::DeletablePrimes(3pm)primes on deleting a digit repeatedly✨
Math::NumSeq::DigitCount(3pm)count of a given digit✨
Math::NumSeq::DigitCountHigh(3pm)count of given high digits✨
Math::NumSeq::DigitCountLow(3pm)count of given low digits✨
Math::NumSeq::DigitLength(3pm)length in digits✨
Math::NumSeq::DigitLengthCumulative(3pm)total length in digits of numbers 1 to i✨
Math::NumSeq::DigitProduct(3pm)product of digits✨
Math::NumSeq::DigitProductSteps(3pm)multiplicative persistence and digital root✨
Math::NumSeq::DigitSum(3pm)sum of digits, possibly with powering✨
Math::NumSeq::DigitSumModulo(3pm)digit sum taken modulo a given modulus✨
Math::NumSeq::DivisorCount(3pm)how many divisors✨
Math::NumSeq::DuffinianNumbers(3pm)no common factor with sum of divisors✨
Math::NumSeq::Emirps(3pm)primes backwards and forwards✨
Math::NumSeq::ErdosSelfridgeClass(3pm)Erdos-Selfridge classification of primes✨
Math::NumSeq::Even(3pm)even integers✨
Math::NumSeq::Expression(3pm)mathematical expression values✨
Math::NumSeq::Factorials(3pm)factorials i! = 1*2*...*i✨
Math::NumSeq::Fibbinary(3pm)without consecutive 1-bits✨
Math::NumSeq::FibbinaryBitCount(3pm)number of bits in each fibbinary number✨
Math::NumSeq::Fibonacci(3pm)Fibonacci numbers✨
Math::NumSeq::FibonacciRepresentations(3pm)count of representations by sum of Fibonacci numbers✨
Math::NumSeq::FibonacciWord(3pm)0/1 related to Fibonacci numbers✨
Math::NumSeq::File(3pm)sequence read from a file✨
Math::NumSeq::FractionDigits(3pm)the digits of a fraction p/q✨
Math::NumSeq::GolayRudinShapiro(3pm)parity of adjacent 11 bit pairs✨
Math::NumSeq::GolayRudinShapiroCumulative(3pm)cumulative Golay/RudinShapiro sequence✨
Math::NumSeq::GoldbachCount(3pm)number of representations as sum of primes P+Q✨
Math::NumSeq::GolombSequence(3pm)sequence is its own run lengths, 1 upwards✨
Math::NumSeq::HafermanCarpet(3pm)bits of the Haferman carpet✨
Math::NumSeq::HappyNumbers(3pm)reaching 1 under repeated sum of squares of digits✨
Math::NumSeq::HappySteps(3pm)number of sum of squares of digits iterations to reach a repeat✨
Math::NumSeq::HarshadNumbers(3pm)numbers divisible by sum of digits✨
Math::NumSeq::HofstadterFigure(3pm)sequence excludes its own first differences✨
Math::NumSeq::JugglerSteps(3pm)steps in the juggler sqrt sequence✨
Math::NumSeq::KlarnerRado(3pm)Klarner-Rado sequences✨
Math::NumSeq::Kolakoski(3pm)sequence of 1s and 2s its own run lengths✨
Math::NumSeq::LemoineCount(3pm)number of representations as P+2*Q for primes P,Q✨
Math::NumSeq::LiouvilleFunction(3pm)Liouville function sequence✨
Math::NumSeq::LucasNumbers(3pm)Lucas numbers✨
Math::NumSeq::LuckyNumbers(3pm)sieved out multiples by the sequence itself✨
Math::NumSeq::MaxDigitCount(3pm)maximum count of a given digit in any radix✨
Math::NumSeq::MephistoWaltz(3pm)Mephisto waltz sequence✨
Math::NumSeq::MobiusFunction(3pm)Mobius function sequence✨
Math::NumSeq::Modulo(3pm)remainders modulo of a given number✨
Math::NumSeq::MoranNumbers(3pm)numbers divided by sum of digits giving a prime✨
Math::NumSeq::Multiples(3pm)multiples of a given number✨
Math::NumSeq::NumAronson(3pm)numerical version of Aronson's sequence✨
Math::NumSeq::Odd(3pm)odd integers✨
Math::NumSeq::OEIS(3pm)number sequence by OEIS A-number✨
Math::NumSeq::OEIS::Catalogue(3pm)available A-numbers✨
Math::NumSeq::OEIS::Catalogue::Plugin(3pm)pluggable catalogue extensions✨
Math::NumSeq::Palindromes(3pm)palindrome numbers like 15351✨
Math::NumSeq::Pell(3pm)Pell numbers✨
Math::NumSeq::Perrin(3pm)Perrin sequence✨
Math::NumSeq::PisanoPeriod(3pm)cycle length of Fibonacci numbers mod i✨
Math::NumSeq::PisanoPeriodSteps(3pm)Fibonacci frequency and Leonardo logarithm✨
Math::NumSeq::PlanePathCoord(3pm)sequence of coordinate values from a PlanePath module✨
Math::NumSeq::PlanePathDelta(3pm)sequence of changes and directions of PlanePath coordinates✨
Math::NumSeq::PlanePathN(3pm)sequence of N values from PlanePath module✨
Math::NumSeq::PlanePathTurn(3pm)turn sequence from PlanePath module✨
Math::NumSeq::PolignacObstinate(3pm)odd integers not prime+2^k✨
Math::NumSeq::Polygonal(3pm)polygonal numbers, triangular, square, pentagonal, etc✨
Math::NumSeq::PowerFlip(3pm)prime exponent flip✨
Math::NumSeq::Powerful(3pm)numbers with certain prime powers✨
Math::NumSeq::PowerPart(3pm)largest square root etc divisor✨
Math::NumSeq::PrimeFactorCount(3pm)how many prime factors✨
Math::NumSeq::PrimeIndexOrder(3pm)order of primeness by primes at prime indexes✨
Math::NumSeq::PrimeIndexPrimes(3pm)primes with prime number indexes✨
Math::NumSeq::Primes(3pm)prime numbers✨
Math::NumSeq::Primorials(3pm)primorials 2*3*...*p[i]✨
Math::NumSeq::Pronic(3pm)pronic numbers✨
Math::NumSeq::ProthNumbers(3pm)Proth number sequence✨
Math::NumSeq::PythagoreanHypots(3pm)hypotenuses of Pythagorean triples✨
Math::NumSeq::RadixConversion(3pm)radix conversion✨
Math::NumSeq::RadixWithoutDigit(3pm)integers without a given digit✨
Math::NumSeq::RepdigitAny(3pm)numbers which are a repdigit in any radix✨
Math::NumSeq::RepdigitRadix(3pm)radix in which i is a repdigit✨
Math::NumSeq::Repdigits(3pm)repdigits 11, 22, 33, etc✨
Math::NumSeq::ReReplace(3pm)sequence of repeated replacements✨
Math::NumSeq::ReRound(3pm)sequence from repeated rounding up✨
Math::NumSeq::ReverseAdd(3pm)steps of the reverse-add algorithm✨