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smoof (version 1.7.0)

Single and Multi-Objective Optimization Test Functions

Description

Provides generators for a high number of both single- and multi- objective test functions which are frequently used for the benchmarking of (numerical) optimization algorithms. Moreover, it offers a set of convenient functions to generate, plot and work with objective functions.

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Install

install.packages('smoof')

Monthly Downloads

5,767

Version

1.7.0

License

BSD_2_clause + file LICENSE

Issues

Pull Requests

Stars

Forks

Repository

https://github.com/jakobbossek/smoof

Homepage

https://jakobbossek.github.io/smoof/

Maintainer

Jakob Bossek

Last Published

February 24th, 2026

Functions in smoof (1.7.0)

getMeanFunction

Returns the true mean function in the noisy case

Get parameter set

Get Data Frame of optima

isSmoofFunction

Checks whether the given object is a smoof_function or a smoof_wrapped_function

Returns the vector of associated tags

isWrappedSmoofFunction

Checks whether the function is of type smoof_wrapped_function

isSingleobjective

Checks whether the given function is single-objective

Checks whether the given function accepts “vectorized” input

getWrappedFunction

Extract wrapped function

hasLocalOptimum

Checks whether local optima are known

Checks whether the given function is noisy

hasOtherConstraints

Checks whether the objective function has other constraints

isMultiobjective

Checks whether the given function is multi-objective

makeAdjimanFunction

Adjiman function

makeBealeFunction

makeAluffiPentiniFunction

Aluffi-Pentini function

makeBentCigarFunction

Bent-Cigar Function

Checks whether the objective function has constraints

makeAckleyFunction

Ackley Function

makeAlpine01Function

Alpine01 function

makeBiObjBBOBFunction

Generate Bi-Objective Function from the Real-Parameter Bi-Objective Black-Box Optimization Benchmarking (BBOB)

Checks if the function has assigned special tags

makeBiSphereFunction

Bi-objective Sphere function

makeBBOBFunction

Generator for noiseless function set of the real-parameter BBOB

makeBK1Function

BK1 function generator

makeBartelsConnFunction

Bartels Conn Function

makeAlpine02Function

Alpine02 function

makeBohachevskyN1Function

Bohachevsky function N. 1

makeBirdFunction

makeBukinN4Function

Bukin function N. 4

makeBukinN2Function

Bukin function N. 2

makeBukinN6Function

Bukin function N. 6

makeCarromTableFunction

Carrom Table Function

makeBrownFunction

makeBrentFunction

makeBraninFunction

Branin RCOS function

makeBoothFunction

makeDTLZ4Function

DTLZ4 Function (family)

makeDTLZ2Function

DTLZ2 Function (family)

makeDTLZ1Function

DTLZ1 Function (family)

makeChichinadzeFunction

Chichinadze Function

makeDTLZ3Function

DTLZ3 Function (family)

makeCosineMixtureFunction

Cosine Mixture Function

makeComplexFunction

Complex function

makeCrossInTrayFunction

Cross-In-Tray Function

makeCubeFunction

makeChungReynoldsFunction

Chung Reynolds Function

makeED2Function

makeDoubleSumFunction

Double-Sum Function

makeDeckkersAartsFunction

Deckkers-Aarts Function

makeDixonPriceFunction

Dixon-Price Function

makeDTLZ6Function

DTLZ6 Function (family)

makeED1Function

makeDTLZ5Function

DTLZ5 Function (family)

makeDTLZ7Function

DTLZ7 Function (family)

makeDeflectedCorrugatedSpringFunction

Deflected Corrugated Spring function

makeGeneralizedDropWaveFunction

Generalized Drop-Wave Function

makeFunctionsByName

Generate smoof function by passing a character vector of generator names

makeEasomFunction

makeDentFunction

Dent Function Generator

makeHolderTableN1Function

Holder Table function N. 1

makeEggCrateFunction

Egg Crate Function

makeHosakiFunction

Hosaki Function

makeGOMOPFunction

GOMOP function generator

makeEggholderFunction

Egg Holder function

makeHimmelblauFunction

Himmelblau Function

makeHartmannFunction

Hartmann Function

makeHyperEllipsoidFunction

Hyper-Ellipsoid function

makeHolderTableN2Function

Holder Table function N. 2

makeExponentialFunction

Exponential Function

makeJudgeFunction

makeGoldsteinPriceFunction

Goldstein-Price Function

makeLeonFunction

makeKursaweFunction

Kursawe Function

makeGiuntaFunction

Giunta Function

makeInvertedVincentFunction

Inverted Vincent Function

makeKearfottFunction

Kearfott function

makeEngvallFunction

Complex function

makeElAttarVidyasagarDuttaFunction

El-Attar-Vidyasagar-Dutta Function

makeFreudensteinRothFunction

Freudenstein Roth Function

makeMMF11Function

makeKeaneFunction

makeMMF12Function

makeGriewankFunction

Griewank Function

makeHansenFunction

Hansen Function

makeMMF10Function

makeMMF13Function

makeMMF1eFunction

makeJennrichSampsonFunction

Jennrich-Sampson function

makeMMF1zFunction

makeMMF3Function

makeMMF2Function

makeMOP3Function

MOP3 function generator

makeMOP2Function

MOP2 function generator

makeMMF14Function

makeMMF8Function

makeMMF9Function

makeMMF4Function

makeMMF1Function

makeMMF5Function

makeMMF15aFunction

MMF15a Function

makeMOP6Function

MOP6 function generator

makeMMF15Function

makeMOP1Function

MOP1 function generator

makeMMF6Function

makeMPM2Function

Generator for function with multiple peaks following the multiple peaks model 2

makeMNKFunction

Generators for (r)MNK-landscapes

makeModifiedRastriginFunction

Rastrigin Function

makeMMF7Function

makeMMF14aFunction

MMF14a Function

makeMOP5Function

MOP5 function generator

makeMOP4Function

MOP4 function generator

makeMultiObjectiveFunction

Generator for multi-objective target functions

makeMOP7Function

MOP7 function generator

Generator for NK-landscapes

makeMichalewiczFunction

Michalewicz Function

makeRastriginFunction

Rastrigin Function

makeOmniTestFunction

makePeriodicFunction

Periodic Function

makeObjectiveFunction

Internal generator for function of smoof type

makeMcCormickFunction

McCormick Function

makeMatyasFunction

Matyas Function

makeSYMPARTrotatedFunction

SYM-PART Rotated Function

makeSixHumpCamelFunction

Three-Hump Camel Function

makePowellSumFunction

Powell-Sum Function

makePriceN1Function

Price Function N. 1

makeSchafferN4Function

Schaffer Function N. 4

makeRosenbrockFunction

Rosenbrock Function

makeSchafferN2Function

Modified Schaffer Function N. 2

makeSwiler2014Function

Swiler2014 function

makeSingleObjectiveFunction

Generator for single-objective target functions

makeWFG1Function

makeViennetFunction

Viennet function generator

makeShubertFunction

Shubert Function

makeThreeHumpCamelFunction

Three-Hump Camel Function

makeSchwefelFunction

Schwefel function

Generator for the functions UF1, ..., UF10 of the CEC 2009

makeWFG3Function

makePriceN2Function

Price Function N. 2

makeTrecanniFunction

Trecanni Function

makeWFG2Function

makeShekelFunction

Shekel functions

makePriceN4Function

Price Function N. 4

makeSphereFunction

Sphere Function

makeStyblinkskiTangFunction

Styblinkski-Tang function

makeSumOfDifferentSquaresFunction

Sum of Different Squares Function

makeZDT3Function

makeSYMPARTsimpleFunction

SYM-PART Simple Function

makeWFG6Function

makeZDT4Function

makeZDT1Function

makeWFG8Function

makeWFG9Function

Plot an one-dimensional function

makeZettlFunction

makeZDT6Function

makeZDT2Function

makeWFG7Function

Surface plot of two-dimensional test function

shouldBeMinimized

Check if function should be minimized

makeWFG5Function

resetEvaluationCounter

Reset evaluation counter

makeWFG4Function

smoof: Single and Multi-Objective Optimization test functions

Plot a two-dimensional numeric function

visualizeParetoOptimalFront

Pareto-optimal front visualization

Helper function to create a numeric multi-objective optimization test function

violatesConstraints

Checks whether constraints are violated

plot.smoof_function

Generate ggplot2 object

Helper function to create numeric single-objective optimization test function

exportNKFunction

Export/import (rM)NK-landscapes

addLoggingWrapper

Return a function which internally stores x or y values

Conversion between minimization and maximization problems

autoplot.smoof_function

Generate ggplot2 object

Returns the description of the function

addCountingWrapper

Return a function which counts its function evaluations

filterFunctionsByTags

Get a list of implemented test functions with specific tags

Returns the ID / short name of the function

getGlobalOptimum

Returns the global optimum and its value

computeExpectedRunningTime

Compute the Expected Running Time (ERT) performance measure

getNumberOfParameters

Determines the number of parameters

getNumberOfObjectives

Determines the number of objectives

getNumberOfEvaluations

Returns the number of function evaluations performed by the wrapped smoof_function

getLoggedValues

Extracts the logged values of a function wrapped by a logging wrapper

Returns the name of the function

getUpperBoxConstraints

Return upper box constraints

hasGlobalOptimum

Checks whether the global optimum is known

getLowerBoxConstraints

Returns lower box constraints for a Smoof function

hasBoxConstraints

Checks whether the objective function has box constraints

getAvailableTags

Returns a character vector of possible function tags

Returns the reference point of a multi-objective function

doesCountEvaluations

Check whether the function is counting its function evaluations

getLocalOptimum

Returns the local optima of a single objective smoof function