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 2025-03-21 AM 12:14:45.660 (Fri) 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 ArcTest
argmin ArmillarySphere army ArnaultTest
AudioSystemTest autumnEquinoxPlot average babbage
BallBearing ballgame ballistics2D barcode
baseconv baseConversionTest baseConversionTiming baseConversionTuner
basetiming BBP Beaufort benchmark1
BenfordsLaw BernoulliNumbers biathlon bigcoord
BinarySplitting BinarySplittingExp BinarySplittingFactorial BinarySplittingPi
BinaryWriter birdhouse Boggle boilingPointByElevation
boilingPointTest BooleanTransformations BoulderArtsAndMaths27 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
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
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 embossEgg EmilysFourthHour
emirp encoding encodings epochClock
epochClockBinary EqualEarthProjection error exactSeasons
exponentialSpiral exponentialSpiralIn exponentialSpiralOut extrudeTest
factor factor2 factorableWords factorFactorial
factorsOf10 fermatWrong fetchweather fibonacci
fibonacciSpiral fireworks flag floatingPointBase
floatTiming FloatVector floodFillTest FloydSteinbergDither
fontDetails fontList fontsWithGlyphs FontWidthEstimatorBuilder
forensicSeismology formatEquation formatterTest formatTest
fortest fortest2 fortest3 Fourier2d
FourierImage FourierImageTest 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 GrayCodes grayscaleBars greatCircleMap
GreatPyramid Grid gripper groupBy
guitoolstest gyrojet gzipMemory harvest
harvest2 hashColor hemispheres hexaflexagon
hexaflexagonImage hinttest HubbleUDF humanBodySurface
hyperoperation 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
knapsackTest koodipuzzle lambda LambertW
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
manhattanhengemoon manhattanhengesun mapDymaxion mapStates
mapStatesSinusoidal mapTest mapTimeTest mapTimezones
MarsAtmosphere MarsAtmosphereFull MarsAtmosphereOld MarsAtmospherePlot
MarsJupiterConvergence MarsMeteor MarsOccultation mastermind
mastermindDeducer mastermindGeogebra MathML Matrix
MatrixInvert MatrixLUTest MatrixQRTest matrixSolveTest
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
multiline multinexttest MultiplicationFrustration musicalscale
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 PerfectionPiece perihelion
PetersProjection pi piChudnovsky piChudnovskyNew
piPoster piRamanujan pixelAveragingTest planarEmbossTest
planarSundial planckify planetDistance planetLocations
Plot3D plotCambridgeTemp plotConvergence Pochhammer
pokerhands polygonTest ponderThis201004 ponderThis201004b
powerTransformations predictSequence previousPrimeTest PrimeAndPrejudice
primebits primechain 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
RecursiveParseString RecursiveParseStringNative redballs regression
RelativisticKineticEnergyTest repeatingDigits returnTest reversePhonemes
rewriteImage Richter RiemannPrime RightStuff
risesetchart rollForIntelligence rootGUITest RosettaCodeUnimplemented
rosettaify rot13 roundedCubeTest RSA
Rump safePrimes SaturnChristmas saturnRingAngle
scarfquine scarfquine1 scarfquinetest screwThreads
screwThreadsTest screwThreadsTest3Start screwThreadsTestRing secant
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 strongPseudoprimeTest strongPsuedoprimeTest
Sudoku SudokuSmooth sumdigits summerSolsticePlot
sumTo100 suntest suntimetest supertoroidTest
systemSolver systemSolver2 systemSolverDemo systemSolverTest
systemSolverTest2 T9 TAIMinusUTC TAK
TangentNumbers TaylorSeries TelescopeViewfinder TelescopeViewfinder2
temperatureFrequency testBaseConversions textAlignTest textAlignTest2
textcenter textcenter3 textcenterfixed thermalTest
thermocouple2 thermocouple3 thermocouple4 TicTacToe
TierraEstella timeFullMoon timefunc Tire
TLE tns toiletScrew tongs
tongsRounded TopHat3D torusTest toStringTest
TowersOfHanoi transit transit3 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
WordleWords WordleWordsSorted WordleWordsSortedGenerator Words
wordTransform worldcities Writer WWIICache
wynnhenge wynnhengemoon xkcd287 XtotheX
XtotheXbetter YCbCr YentzenPuzzle ZehnGray
ZipFile

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