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 2025-05-01 AM 04:14:04.115 (Thu) 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
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
embossEgg embossEggMoon EmilysFourthHour emirp
encoding encodings epochClock epochClockBinary
EqualEarthProjection error exactSeasons exponentialSpiral
exponentialSpiralIn exponentialSpiralOut extrudeTest factor
factor2 factorableWords factorFactorial factorsOf10
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 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 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 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 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 PerfectionPiece perihelion
PetersProjection pi piChudnovsky piChudnovskyNew
piPoster piRamanujan pixelAveragingTest planarEmbossTest
planarSundial planckify planetDistance planetLocations
Plot2D Plot3D plotCambridgeTemp plotConvergence
Pluto 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
strangePrimes 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 WordleWordsSortedGenerator
Words wordTransform worldcities Writer
WWIICache wynnhenge wynnhengemoon xkcd287
XtotheX XtotheXbetter YCbCr YentzenPuzzle
ZehnGray ZipFile

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