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 2025-02-11 PM 06:59:29.551 (Tue) 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
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 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 groupBy 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 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 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 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 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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