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 2020-10-17 AM 12:29:12.000 (Sat) 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 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 CarTalkPuzzle
CarTalkPuzzle2 ChineseMarch circleTest circularOrbit
classRedefinitionTest ClipTest ClipTestPolygon collatorTest
collectTransformations colorboxes colorillusion colorsPuzzle
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 DriveYaNuts dumpExpression dumpUnits
DuncanDecode DurinsDay Dymaxion earthdisttest
EarthTemperature eBinarySplitting eclipse ECM
EmilysFourthHour emirp encoding encodings
epochClock epochClockBinary error exactSeasons
exponentialSpiral exponentialSpiralIn exponentialSpiralOut 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 increasingPuzzle IndianAstronomy inputtest
integrals interfacetest IntervalIntegrate intervaltest
ioioThermalTest jennyMoonVenus jigglyNumberPuzzle jotto
JoyDivision JoyDivisionAnimated JupiterMoons JupiterSaturnConvergence
KaplinskyPuzzle KaplinskyPuzzleSmall karatsuba karatsubaTest
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 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 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 TierraEstella timeFullMoon
timefunc TLE tns 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 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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