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 2026-06-14 PM 02:45:49.853 (Sun) 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 IntervalSolve
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 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 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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