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 2025-04-12 PM 09:02:55.868 (Sat) 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 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
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 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 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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