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 2021-04-15 PM 04:40:18.233 (Thu) 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 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 chopsticks
circleTest circularOrbit classRedefinitionTest ClipTest
ClipTestPolygon collatorTest collectTransformations colorboxes
colorillusion colorsPuzzle cometCap commentTest
consttest convergatron convergatron2 CoordinateTransformerTest
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 graph3D 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 isometricProjection
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
PerfectionPiece 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 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 TierraEstella timeFullMoon
timefunc TLE tns tongs
tongsRounded TopHat3D torusTest 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
VoxelPolygonTest VoxelRotatedPolygonTest VoxelRotateTest VoxelStrokePolygonTest
VoxelTaperedPolygonTest VoxelXYZRotateTest 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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