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 2024-05-14 PM 11:25:08.285 (Tue) 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 average
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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