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 2026-02-09 PM 11:27:28.240 (Mon) 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
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
CSVtest 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 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 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
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
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 ZipFile

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