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 2021-02-28 PM 11:56:27.000 (Sun) 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
99bottles 99bottles2 9billionnames abundantNumbers
accelerationSolver AgencyInitiation allFactors2 allTransforms
almostPrime Amazon amicableNumbers anagramchallenge
anagramlog anagramQuandary anamorph animate
animateJupiterMoons arbitrarySqrt ArcTest army
ArnaultTest AudioSystemTest autumnEquinoxPlot babbage
BallBearing ballgame ballistics2D baseconv
baseConversionTest baseConversionTiming baseConversionTuner basetiming
BBP Beaufort benchmark1 BenfordsLaw
BernoulliNumbers biathlon bigcoord BinarySplitting
BinarySplittingFactorial BinarySplittingPi BinaryWriter birdhouse
Boggle boilingPointTest BooleanTransformations BoulderArtsAndMaths27
boyGirlPuzzle Braille BrailleTest breaktest
Brix BullsAndCows CacheFreeGDMII cambridgetemp
cambridgetempFourier candleHolder cap3D CarTalkPuzzle
CarTalkPuzzle2 ChineseMarch circleTest circularOrbit
classRedefinitionTest ClipTest ClipTestPolygon collatorTest
collectTransformations colorboxes colorillusion colorsPuzzle
cometCap commentTest consttest convergatron
convergatron2 CoriolisBall CoriolisKick CornbreadCache
correlation correlationTest countryHeatMap CrackTheCode
crossstitch cryptoAES256 cryptoCircuitPuzzle cryptoProviders
cryptotest crystalradio curvefit curveFit
DeadDrop deBruijn decheckerboard decipherbible
decipherrabbit decodeBuilt decrypt deltat
Derby derbyDraw derbytrack derbytrack2
descriptorsFogus DigitalPerfection DigitalPerfection2 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
EmilysFourthHour emirp encoding encodings
epochClock epochClockBinary error exactSeasons
exponentialSpiral exponentialSpiralIn exponentialSpiralOut extrudeTest
factor factor2 factorableWords factorFactorial
factorsOf10 fetchweather fibonacci fibonacciSpiral
fireworks flag floatingPointBase floatTiming
FloydSteinbergDither fontDetails fontList FontWidthEstimatorBuilder
forensicSeismology formatterTest formatTest fortest
fortest2 fortest3 Fourier2d FourierImage
FourierImageTest fourierTemp fouriertest FourierUtils
FresnelZonePlate frinklog fryer FTPUpload
functionUtils functionUtilsTest GaiaTest GaiaTestColumns
GaiaTestGalactic Gamma GEBCube GEBCube2
GelfandsQuestion GeneralPathClipTest GeneralPathExample GeneralPathExamples
generalPathMatch GeneralPathTest geocaching GeometricMedian
GoogleEarth GoogleTranslate gradingProblem graphemesTest
graphicalSieve graphicsAddTest graphicsTest graphpaper
GrayCodes grayscaleBars greatCircleMap GreatPyramid
Grid guitoolstest gyrojet harvest
harvest2 hemispheres hexaflexagon hexaflexagonImage
hinttest HubbleUDF hyperoperation iau1980
IEEE754 iftest impossibleSphere increasingPuzzle
IndianAstronomy inputtest integrals interfacetest
IntervalIntegrate intervaltest ioioThermalTest jennyMoonVenus
jigglyNumberPuzzle jotto JoyDivision JoyDivisionAnimated
JupiterMoons JupiterSaturnConvergence KaplinskyPuzzle KaplinskyPuzzleSmall
karatsuba karatsubaTest kittyHockeyPuck koodipuzzle
lambda LambertW largestTweetablePrime latitudeComparison
latitudeComparison2 LatLongToUTM launchdrag lefthand
leftTruncatablePrimes letterFrequency letterGraph lettergrid
LiarLiarII lineWrapper listCountries listFonts
listFunctions listUnits longestWord lowestFactor
L-system L-system-animated makeCountries manhattanhengemoon
manhattanhengesun mapDymaxion mapStates mapStatesSinusoidal
mapTest mapTimeTest mapTimezones mastermind
Matrix MatrixInvert maximize McKellarPuzzle
MD5crack meeus33a meeus47a meeus47b
MercuryTransit mersenne mersennetest mersennetiming
meteorCrater MicroRevengeCache midisynth mithengefoner
mithengeplanets mithengereverse mithengereverse2 mithengereverse3
mithengereverse4 mithengereverse8 mithengeSirius mnemonics
mnemonicsMajor modTest modtimetest modtimetest2
MollweideProjection MomTetrahedron MonthWithoutAFullMoon moonangle
mooncomparison moonDrawingTest moonPlanetPlot moonsize
moonsizecut mooreslaw multifortest multifortest2
multiline multinexttest MultiplicationFrustration musicalscale
namefreq NancyDrewDogsPuzzle NewtonDivision NewtonsMethod
nextLargestPrime nextPrimeTest nonterm normalCurve
normalCurve2 nozeroes numberCheckerboard oonapuzzle
optimumLaunch orbit orbitalBurn OrderedList
outputtest paniqPuzzle parseIntTest partitions
PascalsTriangle passportpic pegGame perihelion
PetersProjection pi piChudnovsky piChudnovskyNew
piPoster piRamanujan pixelAveragingTest planarSundial
planetDistance planetLocations plotCambridgeTemp plotConvergence
Pochhammer pokerhands polygonTest ponderThis201004
ponderThis201004b powerTransformations predictSequence previousPrimeTest
PrimeAndPrejudice primebits primechain primeCountTest
primelist primeQuadruples primeQuadruplets primesInPi
primetest primetest2 primetest3 primorial
printerResolutionTest printPi proctest properDivisors
pseudoprimes punctuationCipher pushclasstest pushtest
qrcode quadtree randomprime RecursiveParseString
RecursiveParseStringNative regression RelativisticKineticEnergyTest repeatingDigits
returnTest rewriteImage Richter RiemannPrime
RightStuff risesetchart rollForIntelligence rootGUITest
RosettaCodeUnimplemented rosettaify rot13 roundedCubeTest
RSA Rump safePrimes SaturnChristmas
scarfquine scarfquine1 scarfquinetest secant
showFonts shuffleTest SierpinskiCarpet similarUnits
simplegraph2 simplegraph3 simplegraph4 simplegraph5
simulatedOverload sizesort Sneaky1 Sneaky2
socatprime SolarCooker SolarCooker2 Solver
SolverTest solveTest solveTest2 solveTrigonometric
sorttest sousvide sousvideTy spheresProblem
spheresProblem2 spiral springEquinoxPlot sqrtWayne
squarePuzzle 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 TierraEstella timeFullMoon
timefunc TLE tns tongs
tongsRounded TopHat3D toStringTest TowersOfHanoi
transit transit3 TravellersDilemma trs80ify
tryTest Tupper TupperGen tvaspect
TysonTweet undocumentedFunctions Unicode unicodeGraphics
unicodeGraphics2 UnitMathHelper unittable universeNote
use usehttp useparent UTMtest
vaporize2 vd vectorTiming VenusApparent
verifySSH VINChecker VoxelArrayTest VoxelRotateTest
vsop87 Water1984 water2unicode waterold
waterUnicode wheelgame windchill WordFrequency
Words wordTransform Writer WWIICache
wynnhenge wynnhengemoon xkcd287 XtotheX
XtotheXbetter YCbCr YentzenPuzzle ZehnGray
ZipFile

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