Frink Sample Programs

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Below is a collection of sample Frink programs. Another good source for common tasks can be found at Rosetta Code's Frink page.

You can also download all of these sample programs in a single zipfile, FrinkSamples.zip
(zipfile was last modified AD 2026-11-08 AM 12:21:45.993 (Sun) Mountain Standard Time)

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allFactors[text] Calculates all factors of a number (not just prime factors.)
ArbitraryPrecision[text] Calculates some functions (e.g. log and exp) to arbitrary precision.
baseball[text] Calculates trajectory of a baseball.
bert[text] Calculates the probability of two first names appearing in the same movie.
binarySearch[text] Routines for binary-searching an ordered list.
bitcoin[text] Obtain current Bitcoin exchange rates.
ChineseNumbers[text] Formats integers into their Chinese equivalents (formal and casual)
classtest[text] A sample of object-oriented programming; demonstrates writing and using a class specification.
closestFraction[text] Routines for finding the closest fraction to a number. Also see continuedFraction.frink .
commonTransformations[text] Demonstrates Frink's ability to perform symbolic calculations, including solving equations and taking derivatives.
compound[text] Routines for calculating masses of chemical compounds.
continuedFraction[text] Routines for generating continued fraction representations of numbers.
ConvexHull[text] Calculates (and optionally plots) the convex hull of a set of points.
CoordinateConversions[text] Converts latitude and longitude to and from UTM coordinates.
Country[text] Contains polygons for the outlines for all of the countries in the world.
Datum[text] A data structure used to represent the ellipsoidal shape of the earth, used in various navigation routines.
daylight[text] Calculates duration of daylight over the course of a year.
derivatives[text] Transformation rules for finding derivatives of expressions.
DiscreteDistribution[text] Allows you to randomly choose items based on a specified probability distribution.
e[text] Calculates the digits of e, the base of the natural logarithm, to arbitrary precision.
elements[text] A basic periodic table of the elements.
exectest[text] Demonstrates starting external processes using Frink's ability to call Java code.
Fourier[text] Routines for discrete and fast Fourier transforms (FFT) of data.
geometry[text] Functions for planar geometry.
hints[text] Provides hints and help for common errors in Frink calculations.
holeearthfullgradient[text] Calculates time to fall through a hole in the center of the earth with realistic model of densities.
holeearthgradient[text] Calculates time to fall through a hole in the center of the earth with overly-simplistic model of densities.
holeearthuniform[text] Calculates time to fall through a hole in the center of the earth with naïve uniform density model.
homonyms[text] Finds homophones of words.
HTMLUtils[text] Utilities for processing HTML.
JacobiSymbol[text] Functions for calculating the Jacobi symbol and Legendre symbol.
JVMinfo[text] Displays the properties of your Java Virtual Machine. Demonstrates use of Java Introspection.
LogIntegral[text] Calculates the logarithmic integral Li[x].
lottery[text] Routines for calculating lottery odds.
LucasLehmer[text] Implements the Lucas-Lehmer test for proving primality of Mersenne primes.
Maidenhead[text] Converts between lat/long and Maidenhead coordinates.
mandelbrot[text] Draws a Mandelbrot set in plain text.
mandelbrotGraphics[text] Draws a Mandelbrot set as graphics.
mithengecorridor[text] Data for the Infinite Corridor at MIT.
mithengemoon[text] Calculates moon alignments with MIT's Infinite Corridor.
mithengesun[text] Calculates sun alignments in MIT's Infinite Corridor.
navigation[text] A library of high-precision calculations for navigating on the earth.
note[text] Functions for converting frequencies to musical notes.
palindromicNumbers[text] Finds palindromic numbers by the "reverse and add" method.
pi2[text] Calculates π to arbitrary precision.
planets[text] A library to calculate the positions of the the planets to high accuracy using the VSOP87 theory.
pollardP-1[text] An implementation of the Pollard p-1 factoring algorithm.
Processes[text] Contains functions for launching external processes from Frink.
quine[text] A program that prints its own source.
randomDistribution[text] Randomly selects elements from a discrete set with a known distribution.
relativity[text] Functions for various relativistic equations, including black holes and relativistic rockets.
RiemannZeta[text] Calculates values of the Riemann Zeta function.
root[text] Finds roots of numbers to arbitrary precision.
siderealtime[text] Calculates Greenwich Mean Sidereal Time.
sieve[text] Sieve of Eratosthenes to find prime numbers.
simplegraph[text] An simple but interesting program that uses interval arithmetic to plot equations.
solve[text] A simple program that solves a variety of algebraic equations.
solvingTransformations[text] A library of transformation rules to solve algebraic equations.
StandardAtmosphere[text] A class which implements the U.S. Standard Atmosphere of 1976. This allows calculation of pressure, temperature, air density, speed of sound, etc. at varying altitudes.
StandardAtmosphereTest[text] Contains examples of doing standard atmosphere calculations.
statistics[text] Functions for statistics including the forward and inverse error function, the normal distribution, etc.
stellarMagnitude[text] Functions for converting between stellar magnitudes, power fluxes, and total power emitted.
stock[text] Fetches stock prices from the internet.
sun[text] A massive library of astronomical calculations to find positions of the sun, moon, and other calculations.
sunplot[text] Creates data to plot the location of the sun for an entire year.
sunrise[text] Calculates times of sunrise, sunset, and twilights.
timezonediff[text] Calculates the difference between two time zones.
trigram[text] Program to find the most frequent n-letter patterns in words.
water[text] Calculates properties of water and steam to high accuracy using the IAPWS-95 model.
waterVapor[text] Calculates the absolute and relative humidity and partial vapor pressure of water.
webspider[text] Simple program to find all of the links in an HTML page.
wheelgame3[text] Simulator to find optimum play for the big-wheel-spinnin' "Showcase Showdown" game on The Price Is Right
WilliamsPPlus1[text] Factorization using the Williams p+1 factorization method.
xmldump[text] Demonstrates dumping units in an XML format.
ziplocator[text] Locates latitude and longitude of U.S. zip codes (requires data file)

Descriptions of the following programs will be added later:

100doors 16Animali 16AnimaliBox 16Pesci
16PesciBox 99bottles 99bottles2 9billionnames
abundantNumbers accelerationSolver AgencyInitiation AhlsBenchmark
airfoil airfoilExtrudeTest airfoilExtrudeTestNew airfoilPoster
allColors allColors2 allFactors2 allTransforms
almostPrime altAzimuthToXYZTest Amazon amicableNumbers
anagramchallenge anagramlog anagramQuandary anamorph
animate animateJupiterMoons arbitrarySqrt ArchimedeanSpiral
ArcTest argmin ArmillarySphere army
ArnaultTest AudioSystemTest autumnEquinoxPlot average
babbage BallBearing ballgame ballistics2D
barcode base32Test baseconv baseConversionTest
baseConversionTiming baseConversionTuner basetiming BBP
Beaufort benchmark1 BenfordsLaw BernoulliNumbers
biathlon bigcoord BinarySplitting BinarySplittingExp
BinarySplittingFactorial BinarySplittingPi BinaryWriter BingoCard
birdhouse Boggle boilingPointByElevation boilingPointTest
BooleanTransformations BoulderArtsAndMaths27 boxIllusion boxIllusion2
boyGirlPuzzle Braille BrailleTest breaktest
Brix BruteForce BullsAndCows CacheFreeGDMII
caltrops cambridgetemp cambridgetempFourier candleHolder
cantorOrdering cap3D CarTalkPuzzle CarTalkPuzzle2
chainGuide ChineseMarch ChineseRemainderTheorem chopsticks
Cipolla circleTest circularArc circularOrbit
classRedefinitionTest ClipTest ClipTestPolygon codeBlocks
collatorTest collectTransformations colorboxes colorillusion
colorspace colorsPuzzle cometCap commaify
commentTest constraintAllDifferent constraintNQueens constraintSorter
constraintSudoku constraintSudokuTest consttest convergatron
convergatron2 convergatronMoon ConwaysLife CoordinateTransformerTest
CoriolisBall CoriolisKick CornbreadCache correlation
correlationTest countryHeatMap CrackTheCode crossstitch
cryptoAES256 cryptoCircuitPuzzle cryptoProviders cryptotest
crystalradio CSV cubeRotations currencySymbols
curvefit curveFit curveFitTest cycleDetect
cylindricalEmbossGrayTest cylindricalEmbossTest DeadDrop deBruijn
decheckerboard decipherbible decipherrabbit decodeBuilt
decrypt Deducer deltat Derby
derbyDraw derbytrack derbytrack2 descriptorsFogus
DigitalPerfection DigitalPerfection2 digitalSundial diophantinePrimes
diophantinePrimesGradient diophantinePrimesTest DivideAndConquer dnfsize
dollarConvert DonutCutter drawCountries drawDymaxion
drawJupiterSaturn drawMarsJupiter drawMD5 drawPlanets
drawSaturn drawSolarSystem drawVenus dreidel
dreidelShaft DriveYaNuts dropperHolder dumpExpression
dumpUnits DuncanDecode DurinsDay Dymaxion
earthdisttest EarthTemperature eBinarySplitting eclipse
ECM ellipsoidTest ellipticIntegral embossBirdcage
embossCap embossEgg embossEggMoon EmilysFourthHour
emirp encoding encodings epochClock
epochClockBinary EqualEarthProjection error EstesRocket
estimateInvSqrt Ethanol euclidean exactSeasons
exponentialSpiral exponentialSpiralIn exponentialSpiralOut extrudeTest
factor factor2 factorableWords factorFactorial
factorsOf10 FeatureGraphic fermatWrong fetchweather
fibonacci fibonacciSpiral fireworks fitConicSection
fitPlutoOrbit flag floatingPointBase floatTiming
FloatVector floodFillTest FloydSteinbergDither fontDetails
fontList fontsWithGlyphs fontsWithGlyphsGrid FontWidthEstimatorBuilder
forensicSeismology formatEquation formatterTest formatTest
fortest fortest2 fortest3 Fourier2d
FourierImage FourierImageTest fourierLaser fourierTemp
fouriertest FourierUtils FresnelZonePlate frinklog
FrinkRulesAmbigram fryer FTPUpload functionUtils
functionUtilsTest GaiaTest GaiaTestColumns GaiaTestGalactic
GalileoJupiterMoons Game GEBCube GEBCube2
GEBText GelfandsQuestion GeneralPathClipTest GeneralPathExample
GeneralPathExamples generalPathMatch GeneralPathTest geocaching
GeometricMedian GeometricMedianTest glob GoogleEarth
GoogleTranslate gradingProblem Graph graph3D
graphemesTest graphicalSieve graphicsAddTest GraphicsGrid
GraphicsGridTest GraphicsGridTest2 graphicsTest graphpaper
graphRiemannZeta GraphTest gravityAssist GrayCodes
grayscaleBars greatCircleMap GreatPyramid Grid
gripper groupBy guitoolstest gyrojet
gzipMemory harvest harvest2 hashColor
hemispheres hexaflexagon hexaflexagonImage hinttest
HTTPHeaders HubbleUDF humanBodySurface hyperoperation
hypersphere iau1980 IEEE754 iftest
ikeaBowlHolder imageMath impossibleSphere increasingPuzzle
IndianAstronomy inertialNav inputtest integrals
interfacetest IntervalIntegrate IntervalSolve intervaltest
inverseArbitraryErf inverseSinusoidal ioioThermalTest isometricProjection
jennyMoonVenus jigglyNumberPuzzle jotto JoyDivision
JoyDivisionAnimated juliaGraphics JupiterMoons JupiterSaturnConvergence
KaplinskyPuzzle KaplinskyPuzzleSmall karatsuba karatsubaTest
kittyHockeyPuck knapsack KnapsackBounded knapsackTest
koodipuzzle lambda LambertW LaplaceTransform
largestTweetablePrime latitudeComparison latitudeComparison2 LatLongToUTM
launchdrag LeafPrimes LeastSquares LeastSquaresFitAlc
LeastSquaresTest lefthand leftTruncatablePrimes letterFrequency
letterGraph lettergrid LiarLiarII lineWrapper
linkFAQ listCountries listFonts listFunctions
listUnits lncheck longestWord LoraTrainer
lowestFactor lsim L-system L-system-animated
madplot makeCountries makeUT1 MandMdistribution
MandMdistributionCounter manhattanhengemoon manhattanhengesun mapDymaxion
mapStates mapStatesSinusoidal mapTest mapTimeTest
mapTimezones MarsAtmosphere MarsAtmosphereFull MarsAtmosphereOld
MarsAtmospherePlot MarsJupiterConvergence MarsMeteor MarsOccultation
mastermind mastermindDeducer mastermindGeogebra MathML
Matrix MatrixInvert MatrixLUTest MatrixQRTest
matrixSolveTest matrixSolveUnitsTest maximize McKellarPuzzle
MD5crack medievalPlanets meeus33a meeus47a
meeus47b MercuryTransit mersenne mersennetest
mersennetiming meteorCrater MicroRevengeCache midisynth
MischaOrnament mithengefoner mithengeplanets mithengereverse
mithengereverse2 mithengereverse3 mithengereverse4 mithengereverse8
mithengeSirius mnemonics mnemonicsMajor modTest
modtimetest modtimetest2 MollweideProjection MomTetrahedron
MonthWithoutAFullMoon moon3D moon3DSolid moonangle
mooncomparison moonDrawingTest moonPlanetPlot moonPositionAngle
moonsize moonsizecut MoonVsJupiter mooreslaw
mugCap multifortest multifortest2 multifortest3
multiline multinexttest MultiplicationFrustration musicalscale
NamedColors namefreq NancyDrewDogsPuzzle nerdleDeducer
NewtonDivision NewtonsMethod nextLargestPrime nextPrimeTest
nonterm normalCurve normalCurve2 normalCurve3
normalCurve4 nozeroes numberCheckerboard NumericalIntegration
NumericalIntegrationArbitrary NumericalIntegrationArbitraryTest NumericalIntegrationTest Odds
OneRingEmboss oonapuzzle optimumLaunch orbit
orbitalBurn OrderedList organisms Othello
outputtest paintAlongHullTest palindromicPrimes paniqPuzzle
parachuteHat parametric3D parametric3DTest parseIntTest
partitions PascalsTriangle passportpic pegGame
pegGameAnalyzer PerfectionPiece perihelion PetersProjection
pi piChudnovsky piChudnovskyNew piPoster
piRamanujan pixelAveragingTest planarEmbossTest planarSundial
planckify planetDistance planetLocations Plot2D
Plot3D plotBinomial plotCambridgeTemp plotConvergence
plotStudentT Pluto Pochhammer pokerhands
polygonTest ponderThis201004 ponderThis201004b powerTransformations
predictSequence previousPrimeTest PrimeAndPrejudice primebits
primechain primechain2 primechain3 primeCountTest
primelist primeQuadruples primeQuadruplets primesInPi
primetest primetest2 primetest3 primorial
printerResolutionTest printPi PriorityQueueTest proctest
properDivisors pseudoprimes PSLQ pumpHolder
punctuationCipher pushclasstest pushtest qrcode
QRCodeEgg qrcodeembroider quadtree randomLog
randomprime ReadASpecificLine Recaman RecursiveParseString
RecursiveParseStringNative redballs regression RelativisticKineticEnergyTest
repeatingDigits returnTest reversePhonemes rewriteImage
Richter RiemannPrime RightStuff risesetchart
rollForIntelligence rootGUITest RosettaCodeUnimplemented rosettaify
rot13 rotate roundedCubeTest RSA
Rump safePrimes SaturnChristmas saturnRingAngle
scarfquine scarfquine1 scarfquinetest screwThreads
screwThreadsTest screwThreadsTest3Start screwThreadsTestRing secant
shebangTest showFonts shuffleTest SierpinskiCarpet
signetRing similarUnits simplegraph2 simplegraph3
simplegraph4 simplegraph5 simulatedOverload sizesort
SlideRule Sneaky1 Sneaky2 socatprime
SolarCooker SolarCooker2 solarSystemGravity Solver
SolverTest solveTest solveTest2 solveTrigonometric
sorttest sousvide sousvideTy spheresProblem
spheresProblem2 sphericalEmbossGrayTest sphericalEmbossTest spiral
springEquinoxPlot sqrtNearestIntegerTest sqrtWayne squarePuzzle
squeezy squeezy2 StarTram stirling
Stirling StirlingCoefficients stocktest strangePrimes
strongPseudoprimeTest strongPsuedoprimeTest StudentT Sudoku
SudokuSmooth sumdigits summerSolsticePlot sumTo100
sunCoordinates suntest suntimetest supertoroidTest
symbolicTrig systemSolver systemSolver2 systemSolver3
systemSolverDemo systemSolverTest systemSolverTest2 T9
TAIMinusUTC TAK TangentNumbers taperTest
TaylorSeries TelescopeViewfinder TelescopeViewfinder2 temperatureFrequency
testBaseConversions tetrahedron textAlignTest textAlignTest2
textcenter textcenter3 textcenterfixed textToGeneralPath
thermalTest thermocouple2 thermocouple3 thermocouple4
thermodynamics TicTacToe TierraEstella timeFullMoon
timefunc Tire titlecase TLE
tns tnsmap toArbitrary toiletScrew
tongs tongsRounded TopHat3D torusTest
toStringTest TowersOfHanoi transit transit2
transit3 transitTwain TravellersDilemma Tree
treehouseRollingPin TreeTest trs80ify tryTest
Tupper TupperGen tvaspect TysonTweet
undocumentedFunctions Unicode unicodeGraphics unicodeGraphics2
UnitMathHelper unittable universeNote use
usehttp useparent UT1 UTMtest
VacuumNozzle vaporize2 vd vectest
vectorTiming VenusApparent venusPositionAngle verifySSH
VINChecker VoxelArrayTest VoxelPolygonTest VoxelRotatedPolygonTest
VoxelRotateTest VoxelSolidOfRotation VoxelStrokePolygonTest VoxelTaperedPolygonTest
VoxelXYZRotateTest vsop87 Water1984 water2unicode
waterold waterUnicode wheelgame windchill
winterSolsticePlot WordFrequency wordleDeducer WordleWordsSortedGenerator
Words wordTransform worldcities Writer
WWIICache wynnhenge wynnhengemoon X-15
xkcd287 XtotheX XtotheXbetter YCbCr
YentzenPuzzle ZehnGray zipcodesInOrder ZipFile

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