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 2025-11-08 PM 05:19:31.949 (Sat) 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 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 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 GoogleEarth GoogleTranslate
gradingProblem Graph graph3D graphemesTest
graphicalSieve graphicsAddTest 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 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 mooreslaw mugCap multifortest
multifortest2 multifortest3 multiline multinexttest
MultiplicationFrustration musicalscale NamedColors namefreq
NancyDrewDogsPuzzle nerdleDeducer NewtonDivision NewtonsMethod
nextLargestPrime nextPrimeTest nonterm normalCurve
normalCurve2 normalCurve3 normalCurve4 nozeroes
numberCheckerboard 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 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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