From 4451dfab72bf081fe7e3774c99033736ed52fef4 Mon Sep 17 00:00:00 2001 From: Daniel Suit <106452651+danielsuit@users.noreply.github.com> Date: Mon, 22 Dec 2025 21:35:29 -0500 Subject: [PATCH] new file: mathfunctionize/arithmetic.py modified: mathfunctionize/mathfunctionize.py --- mathfunctionize/arithmetic.py | 14 + mathfunctionize/mathfunctionize.py | 675 +---------------------------- 2 files changed, 25 insertions(+), 664 deletions(-) create mode 100644 mathfunctionize/arithmetic.py diff --git a/mathfunctionize/arithmetic.py b/mathfunctionize/arithmetic.py new file mode 100644 index 0000000..22a3edb --- /dev/null +++ b/mathfunctionize/arithmetic.py @@ -0,0 +1,14 @@ +def arithmeticAddition(a, b): + return a + b +def arithmeticSubtraction(a, b): + return a - b +def arithmeticMultiplication(a, b): + return a * b +def arithmeticDivision(a, b): + return a / b +def arithmeticPower(a, b): + return a ** b +def arithmeticModulo(a, b): + return a % b +def arithmeticFlatDivision(a, b): + return a // b \ No newline at end of file diff --git a/mathfunctionize/mathfunctionize.py b/mathfunctionize/mathfunctionize.py index 5a59cba..bed9c76 100644 --- a/mathfunctionize/mathfunctionize.py +++ b/mathfunctionize/mathfunctionize.py @@ -1,20 +1,23 @@ -#arithmetics +# contants pi = 3.141592653589793 e = 2.718281828459045 +# arithmetics +import arithmetic def addition(a, b): - return a + b + return arithmetic.arithmeticAddition(a, b) def subtraction(a, b): - return a - b + return arithmetic.arithmeticSubtraction(a, b) def multiplication(a, b): - return a * b + return arithmetic.arithmeticMultiplication(a, b) def division(a, b): - return a / b + return arithmetic.arithmeticDivision(a, b) def power(a, b): - return a ** b + return arithmetic.arithmeticPower(a, b) def modulo(a, b): - return a % b + return arithmetic.arithmeticModulo(a, b) def flatDivision(a, b): - return a // b + return arithmetic.arithmeticFlatDivision(a, b) +# algebra def gamma(x): if x == 0 or (x < 0 and x % 1 == 0): raise Exception("Invalid input") @@ -86,662 +89,6 @@ def normalCDF(x, mean, stdDev): return prob def gammaPDF(x, a, b): return (1/gamma(a))*power((b*x),(a/x))*power(e,(-b*x)) -def chiSquarePDF(): - pass -def inverseGammaPDF(): - pass -def betaPDF(): - pass -def arcsinePDF(): - pass -def studentTPDF(): - pass -def fDistributionPDF(): - pass -def poissonPDF(): - pass -def binomialPDF(): - pass -def geometricPDF(): - pass -def hypergeometricPDF(): - pass -def negativeBinomialPDF(): - pass -def bernoulliPDF(): - pass -def multinomialPDF(): - pass -def exponentialPDF(): - pass -def weibullPDF(): - pass -def cauchyPDF(): - pass -def logisticPDF(): - pass -def laplacePDF(): - pass -def paretoPDF(): - pass -def rayleighPDF(): - pass -def powerPDF(): - pass -def uniformDiscretePDF(): - pass -def zipfPDF(): - pass -def logNormalPDF(): - pass -def gumbelPDF(): - pass -def triangularPDF(): - pass -def vonMisesPDF(): - pass -def levyPDF(): - pass -def wignerPDF(): - pass -def diracDeltaPDF(): - pass -def maxwellBoltzmannPDF(): - pass -def inverseGuassianPDF(): - pass -def betaPrimePDF(): - pass -def kumaraswamyPDF(): - pass -def dirchletPDF(): - pass -def wishartPDF(): - pass -def inverseWishartPDF(): - pass -def skewNormalPDF(): - pass -def generalizedExtremeValuePDF(): - pass -def errorFunctionPDF(): - pass -def hyperbolicPDF(): - pass -def varianceGammaPDF(): - pass -def logLogisticPDF(): - pass -def burrPDF(): - pass -def frechetPDF(): - pass -def generalizedParetoPDF(): - pass -def halfNormalPDF(): - pass -def halfCauchyPDF(): - pass -def halfLogisticPDF(): - pass -def halfTDistributionPDF(): - pass -def triangularDiscretePDF(): - pass -def bernoulliTrialPDF(): - pass -def multinoulliPDF(): - pass -def categoricalPDF(): - pass -def dirichletProcessPDF(): - pass -def chineseRestaurantProcessPDF(): - pass -def stickBreakingProcessPDF(): - pass -def indianBuffetProcessPDF(): - pass -def poissonProcessPDF(): - pass -def brownianMotionPDF(): - pass -def wienerProcessPDF(): - pass -def gammaProcessPDF(): - pass -def inverseGaussianProcessPDF(): - pass -def levyProcessPDF(): - pass -def stableProcessPDF(): - pass -def fractionalBrownianMotionPDF(): - pass -def markovProcessPDF(): - pass -def hiddenMarkovModelPDF(): - pass -def queuingTheoryPDF(): - pass -def renewalProcessPDF(): - pass -def birthDeathProcessPDF(): - pass -def branchingProcessPDF(): - pass -def randomWalkPDF(): - pass -def martingalePDF(): - pass -def ergodicProcessPDF(): - pass -def mixingProcessPDF(): - pass -def stationaryProcessPDF(): - pass -def nonStationaryProcessPDF(): - pass -def timeSeriesAnalysisPDF(): - pass -def copulaPDF(): - pass -def vineCopulaPDF(): - pass -def empiricalDistributionFunctionPDF(): - pass -def kernelDensityEstimationPDF(): - pass -def monteCarloSimulationPDF(): - pass -def bootstrapPDF(): - pass -def jackknifePDF(): - pass -def crossValidationPDF(): - pass -def bayesianInferencePDF(): - pass -def frequentistInferencePDF(): - pass -def maximumLikelihoodEstimationPDF(): - pass -def methodOfMomentsPDF(): - pass -def expectationMaximizationPDF(): - pass -def variationalInferencePDF(): - pass -def gibbsSamplingPDF(): - pass -def metropolisHastingsPDF(): - pass -def sliceSamplingPDF(): - pass -def hamiltonianMonteCarloPDF(): - pass -def noUTurnSamplerPDF(): - pass -def sequentialMonteCarloPDF(): - pass -def particleFilterPDF(): - pass -def kalmanFilterPDF(): - pass -def extendedKalmanFilterPDF(): - pass -def unscentedKalmanFilterPDF(): - pass -def ensembleKalmanFilterPDF(): - pass -def smoothParticleFilterPDF(): - pass -def resamplePDF(): - pass -def importanceSamplingPDF(): - pass -def rareEventSimulationPDF(): - pass -def quasiMonteCarloPDF(): - pass -def latinHypercubeSamplingPDF(): - pass -def sobolSequencePDF(): - pass -def haltonSequencePDF(): - pass -def faureSequencePDF(): - pass -def niederreiterSequencePDF(): - pass -def scrambledSequencePDF(): - pass -def randomizedSequencePDF(): - pass -def lowDiscrepancySequencePDF(): - pass -def highDimensionalIntegrationPDF(): - pass -def adaptiveQuadraturePDF(): - pass -def gaussianQuadraturePDF(): - pass -def monteCarloIntegrationPDF(): - pass -def quasiMonteCarloIntegrationPDF(): - pass -def sparseGridIntegrationPDF(): - pass -def multilevelMonteCarloPDF(): - pass -def multilevelQuasiMonteCarloPDF(): - pass -def multilevelSparseGridPDF(): - pass -def polynomialChaosPDF(): - pass -def stochasticCollocationPDF(): - pass -def generalizedPolynomialChaosPDF(): - pass -def stochasticGalerkinPDF(): - pass -def stochasticFiniteElementPDF(): - pass -def uncertaintyQuantificationPDF(): - pass -def sensitivityAnalysisPDF(): - pass -def reliabilityAnalysisPDF(): - pass -def riskAnalysisPDF(): - pass -def decisionAnalysisPDF(): - pass -def gameTheoryPDF(): - pass -def auctionTheoryPDF(): - pass -def mechanismDesignPDF(): - pass -def socialChoiceTheoryPDF(): - pass -def votingTheoryPDF(): - pass -def matchingTheoryPDF(): - pass -def networkTheoryPDF(): - pass -def graphTheoryPDF(): - pass -def combinatorialOptimizationPDF(): - pass -def integerProgrammingPDF(): - pass -def linearProgrammingPDF(): - pass -def dynamicProgrammingPDF(): - pass -def convexOptimizationPDF(): - pass -def nonConvexOptimizationPDF(): - pass -def globalOptimizationPDF(): - pass -def localOptimizationPDF(): - pass -def heuristicOptimizationPDF(): - pass -def metaheuristicOptimizationPDF(): - pass -def evolutionaryAlgorithmPDF(): - pass -def geneticAlgorithmPDF(): - pass -def particleSwarmOptimizationPDF(): - pass -def antColonyOptimizationPDF(): - pass -def simulatedAnnealingPDF(): - pass -def tabuSearchPDF(): - pass -def differentialEvolutionPDF(): - pass -def harmonySearchPDF(): - pass -def cuckooSearchPDF(): - pass -def fireflyAlgorithmPDF(): - pass -def batAlgorithmPDF(): - pass -def greyWolfOptimizerPDF(): - pass -def lionOptimizationAlgorithmPDF(): - pass -def whaleOptimizationAlgorithmPDF(): - pass -def dragonflyAlgorithmPDF(): - pass -def mothFlameOptimizerPDF(): - pass -def slimeMouldAlgorithmPDF(): - pass -def grasshopperOptimizationAlgorithmPDF(): - pass -def elephantHerdingOptimizationPDF(): - pass -def krillHerdAlgorithmPDF(): - pass -def waterWaveOptimizationPDF(): - pass -def sineCosineAlgorithmPDF(): - pass -def salpSwarmAlgorithmPDF(): - pass -def marinePredatorsAlgorithmPDF(): - pass -def arithmeticOptimizationAlgorithmPDF(): - pass -def hungerGamesSearchPDF(): - pass -def earthwormOptimizationAlgorithmPDF(): - pass -def spottedHyenaOptimizerPDF(): - pass -def redFoxOptimizerPDF(): - pass -def goldenJackalOptimizerPDF(): - pass -def socialSpiderAlgorithmPDF(): - pass -def coronavirusOptimizationAlgorithmPDF(): - pass -# Additional Probability Distributions -def ricePDF(): - pass -def nakagamiPDF(): - pass -def chiPDF(): # chi distribution (not chi-square) - pass -def foldedNormalPDF(): - pass -def truncatedNormalPDF(): - pass -def johnsonSUPDF(): - pass -def johnsonSBPDF(): - pass -def zeroInflatedPoissonPDF(): - pass -def conwayMaxwellPoissonPDF(): - pass -def polyaPDF(): - pass -def yuleSimonPDF(): - pass -def borelPDF(): - pass -def discreteWeibullPDF(): - pass -def logarithmicSeriesPDF(): - pass -def benfordPDF(): - pass -def rademacherPDF(): - pass -def skellamPDF(): - pass -def compoundPoissonPDF(): - pass -def mixedPoissonPDF(): - pass -def betaBinomialPDF(): - pass -def betaNegativeBinomialPDF(): - pass -def trapezoidalPDF(): - pass -def uQuadraticPDF(): - pass -def raisedCosinePDF(): - pass -def wignerSemicirclePDF(): - pass -def lomaxPDF(): - pass -def discreteUniformIntegerPDF(): - pass - -# Additional Stochastic Processes -def ornsteinUhlenbeckProcessPDF(): - pass -def coxIngersollRossProcessPDF(): - pass -def vasicekProcessPDF(): - pass -def hullWhiteProcessPDF(): - pass -def blackScholesProcessPDF(): - pass -def hestonProcessPDF(): - pass -def jumpDiffusionProcessPDF(): - pass -def mertonJumpDiffusionPDF(): - pass -def kouJumpDiffusionPDF(): - pass -def varianceGammaProcessPDF(): - pass -def normalInverseGaussianProcessPDF(): - pass -def hyperbolicProcessPDF(): - pass -def hawkesProcessPDF(): - pass -def coxProcessPDF(): - pass -def doublyStochasticPoissonProcessPDF(): - pass -def shotNoiseProcessPDF(): - pass -def telegraphProcessPDF(): - pass -def randomFieldPDF(): - pass -def gaussianRandomFieldPDF(): - pass -def markovRandomFieldPDF(): - pass - -# Additional Copulas -def gaussianCopulaPDF(): - pass -def tCopulaPDF(): - pass -def claytonCopulaPDF(): - pass -def gumbelCopulaPDF(): - pass -def frankCopulaPDF(): - pass -def archimedeanCopulaPDF(): - pass -def ellipticalCopulaPDF(): - pass -def extremeValueCopulaPDF(): - pass - -# Machine Learning Algorithms -def supportVectorMachinePDF(): - pass -def randomForestPDF(): - pass -def gradientBoostingPDF(): - pass -def neuralNetworkPDF(): - pass -def deepLearningPDF(): - pass -def convolutionalNeuralNetworkPDF(): - pass -def recurrentNeuralNetworkPDF(): - pass -def longShortTermMemoryPDF(): - pass -def gatedRecurrentUnitPDF(): - pass -def transformerPDF(): - pass -def attentionMechanismPDF(): - pass -def variationalAutoencoderPDF(): - pass -def generativeAdversarialNetworkPDF(): - pass -def reinforcementLearningPDF(): - pass -def qLearningPDF(): - pass -def deepQLearningPDF(): - pass -def policyGradientPDF(): - pass -def actorCriticPDF(): - pass - -# Additional Optimization Algorithms -def beeColonyOptimizationPDF(): - pass -def artificialBeeColonyPDF(): - pass -def honeyBeeOptimizationPDF(): - pass -def bumblebeeOptimizationPDF(): - pass -def flowerPollinationAlgorithmPDF(): - pass -def butterflyOptimizationAlgorithmPDF(): - pass -def birdSwarmAlgorithmPDF(): - pass -def fishSchoolSearchPDF(): - pass -def catSwarmOptimizationPDF(): - pass -def pigeonInspiredOptimizationPDF(): - pass -def cockroachSwarmOptimizationPDF(): - pass -def monkeySearchAlgorithmPDF(): - pass -def bearOptimizationAlgorithmPDF(): - pass -def cheetahOptimizerPDF(): - pass -def jaguarAlgorithmPDF(): - pass -def leopardOptimizationAlgorithmPDF(): - pass -def tigerOptimizationAlgorithmPDF(): - pass -def pantherOptimizationAlgorithmPDF(): - pass -def lionessOptimizationAlgorithmPDF(): - pass -def zebbraOptimizationAlgorithmPDF(): - pass -def giraffeOptimizationAlgorithmPDF(): - pass -def rhinoOptimizationAlgorithmPDF(): - pass -def hippoOptimizationAlgorithmPDF(): - pass -def crocodileOptimizationAlgorithmPDF(): - pass -def turtleOptimizationAlgorithmPDF(): - pass -def snakeOptimizationAlgorithmPDF(): - pass -def lizardOptimizationAlgorithmPDF(): - pass -def geckoOptimizationAlgorithmPDF(): - pass -def chameleonOptimizationAlgorithmPDF(): - pass -def frogLeapingAlgorithmPDF(): - pass -def shuffledFrogLeapingAlgorithmPDF(): - pass -def dolphinEcholocationAlgorithmPDF(): - pass -def sharkOptimizationAlgorithmPDF(): - pass -def fishSwarmOptimizationPDF(): - pass -def schoolingFishOptimizationPDF(): - pass -def jellyfishSearchOptimizationPDF(): - pass -def seagullOptimizationAlgorithmPDF(): - pass -def pelicanOptimizationAlgorithmPDF(): - pass -def spiderMonkeyOptimizationPDF(): - pass -def orangutanOptimizationAlgorithmPDF(): - pass -def chimpanzeeOptimizationAlgorithmPDF(): - pass -def baboonOptimizationAlgorithmPDF(): - pass -def gorillaOptimizationAlgorithmPDF(): - pass - -# Physics-Based Optimization -def simulatedAnnealingPDF(): - pass -def gravitationalSearchAlgorithmPDF(): - pass -def bigBangBigCrunchPDF(): - pass -def blackHoleAlgorithmPDF(): - pass -def galaxyBasedSearchAlgorithmPDF(): - pass -def centralForceOptimizationPDF(): - pass -def artificialPhysicsOptimizationPDF(): - pass -def atomicSearchOptimizationPDF(): - pass -def nuclearReactionOptimizationPDF(): - pass -def quantumBehavioredParticleSwarmPDF(): - pass -# Human-Based Optimization -def teachingLearningBasedOptimizationPDF(): - pass -def socioEvolutionLearningOptimizationPDF(): - pass -def brainstormOptimizationPDF(): - pass -def culturalAlgorithmPDF(): - pass -def imperialistCompetitiveAlgorithmPDF(): - pass -def leagueChampionshipAlgorithmPDF(): - pass -def volleyballPremierLeaguePDF(): - pass -def soccerrLeagueCompetitionPDF(): - pass -def baseballOptimizationAlgorithmPDF(): - pass -def goldenBallAlgorithmPDF(): - pass #complex numbers def complex_addition(a, b): if a.find("+") != -1: