Frink Sample Programs

Documentation * FAQ * What's New * Download * Frink Applet * Web Interface * Frink Server Pages * Frink on Android * Donate

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 2026-03-16 AM 01:25:09.978 (Mon) Mountain Daylight Time)

Search:

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 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

Alan Eliasen was born 20663 days, 8 hours, 57 minutes ago.

Back to Frink Documentation