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 2026-05-02 PM 11:26:13.845 (Sat) Mountain Daylight 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
circleTest 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 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 intervaltest
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
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
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
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
systemSolver systemSolver2 systemSolver3 systemSolverDemo
systemSolverTest systemSolverTest2 T9 TAIMinusUTC
TAK TangentNumbers taperTest TaylorSeries
TelescopeViewfinder TelescopeViewfinder2 temperatureFrequency testBaseConversions
tetrahedron textAlignTest textAlignTest2 textcenter
textcenter3 textcenterfixed 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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