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 2024-11-30 PM 11:33:29.187 (Sat) Mountain Standard 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 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 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
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 guitoolstest
gyrojet gzipMemory harvest harvest2
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 lowestFactor
lsim L-system L-system-animated madplot
makeCountries manhattanhengemoon manhattanhengesun mapDymaxion
mapStates mapStatesSinusoidal mapTest mapTimeTest
mapTimezones MarsAtmosphere MarsAtmosphereFull MarsAtmosphereOld
MarsAtmospherePlot MarsJupiterConvergence 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 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
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 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 Words wordTransform worldcities
Writer WWIICache wynnhenge wynnhengemoon
xkcd287 XtotheX XtotheXbetter YCbCr
YentzenPuzzle ZehnGray ZipFile

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