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 2024-10-14 PM 06:47:28.952 (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 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 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 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 Writer WWIICache wynnhenge
wynnhengemoon xkcd287 XtotheX XtotheXbetter
YCbCr YentzenPuzzle ZehnGray ZipFile

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