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 2024-04-15 PM 08:41:29.818 (Mon) 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.
bitwiseXOR[text] Calculates a bitwise XOR function for arbitrarily-large numbers.
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
allFactors2 allTransforms almostPrime altAzimuthToXYZTest
Amazon amicableNumbers anagramchallenge anagramlog
anagramQuandary anamorph animate animateJupiterMoons
arbitrarySqrt ArcTest ArmillarySphere army
ArnaultTest AudioSystemTest autumnEquinoxPlot babbage
BallBearing ballgame ballistics2D baseconv
baseConversionTest baseConversionTiming baseConversionTuner basetiming
BBP Beaufort benchmark1 BenfordsLaw
BernoulliNumbers biathlon bigcoord BinarySplitting
BinarySplittingExp BinarySplittingFactorial BinarySplittingPi BinaryWriter
birdhouse Boggle 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 currencySymbols curvefit
curveFit curveFitTest 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 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 error exactSeasons
exponentialSpiral exponentialSpiralIn exponentialSpiralOut extrudeTest
factor factor2 factorableWords factorFactorial
factorsOf10 fetchweather fibonacci fibonacciSpiral
fireworks flag floatingPointBase floatTiming
floodFillTest FloydSteinbergDither fontDetails fontList
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
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 guitoolstest
gyrojet gzipMemory harvest harvest2
hemispheres hexaflexagon hexaflexagonImage hinttest
HubbleUDF humanBodySurface hyperoperation iau1980
IEEE754 iftest ikeaBowlHolder impossibleSphere
increasingPuzzle IndianAstronomy inertialNav inputtest
integrals interfacetest IntervalIntegrate intervaltest
inverseSinusoidal ioioThermalTest isometricProjection jennyMoonVenus
jigglyNumberPuzzle jotto JoyDivision JoyDivisionAnimated
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 lowestFactor L-system L-system-animated
makeCountries manhattanhengemoon manhattanhengesun mapDymaxion
mapStates mapStatesSinusoidal mapTest mapTimeTest
mapTimezones MarsAtmosphere MarsAtmospherePlot MarsMeteor
mastermind mastermindDeducer mastermindGeogebra MathML
Matrix MatrixInvert MatrixLUTest MatrixQRTest
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 NewtonDivision NewtonsMethod
nextLargestPrime nextPrimeTest nonterm normalCurve
normalCurve2 normalCurve3 nozeroes numberCheckerboard
OneRingEmboss oonapuzzle optimumLaunch orbit
orbitalBurn OrderedList organisms Othello
outputtest paintAlongHullTest paniqPuzzle parametric3D
parametric3DTest parseIntTest partitions PascalsTriangle
passportpic pegGame PerfectionPiece perihelion
PetersProjection pi piChudnovsky piChudnovskyNew
piPoster piRamanujan pixelAveragingTest planarEmbossTest
planarSundial 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 regression RelativisticKineticEnergyTest repeatingDigits
returnTest 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 Solver SolverTest
solveTest solveTest2 solveTrigonometric sorttest
sousvide sousvideTy spheresProblem spheresProblem2
sphericalEmbossGrayTest sphericalEmbossTest spiral springEquinoxPlot
sqrtWayne squarePuzzle squeezy squeezy2
StarTram stirling Stirling StirlingCoefficients
stocktest strongPseudoprimeTest strongPsuedoprimeTest Sudoku
SudokuSmooth sumdigits summerSolsticePlot sumTo100
suntest suntimetest 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 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 vectorTiming VenusApparent venusPositionAngle
verifySSH VINChecker VoxelArrayTest VoxelPolygonTest
VoxelRotatedPolygonTest VoxelRotateTest VoxelSolidOfRotation VoxelStrokePolygonTest
VoxelTaperedPolygonTest VoxelXYZRotateTest vsop87 Water1984
water2unicode waterold waterUnicode wheelgame
windchill winterSolsticePlot WordFrequency Words
wordTransform Writer WWIICache wynnhenge
wynnhengemoon xkcd287 XtotheX XtotheXbetter
YCbCr YentzenPuzzle ZehnGray ZipFile

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