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 2022-01-11 PM 11:23:27.268 (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 airfoil
airfoilExtrudeTest airfoilExtrudeTestNew airfoilPoster allFactors2
allTransforms almostPrime Amazon amicableNumbers
anagramchallenge anagramlog anagramQuandary anamorph
animate animateJupiterMoons arbitrarySqrt ArcTest
ArmillarySphere 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 chainGuide
ChineseMarch ChineseRemainderTheorem 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
currencySymbols 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
formatEquation 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 gripper guitoolstest
gyrojet harvest harvest2 hemispheres
hexaflexagon hexaflexagonImage hinttest HubbleUDF
hyperoperation iau1980 IEEE754 iftest
ikeaBowlHolder 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 moon3D
moonangle mooncomparison moonDrawingTest moonPlanetPlot
moonsize moonsizecut mooreslaw mugCap
multifortest multifortest2 multiline multinexttest
MultiplicationFrustration musicalscale namefreq NancyDrewDogsPuzzle
NewtonDivision NewtonsMethod nextLargestPrime nextPrimeTest
nonterm normalCurve normalCurve2 nozeroes
numberCheckerboard oonapuzzle optimumLaunch orbit
orbitalBurn OrderedList outputtest paniqPuzzle
parametric3D parametric3DTest 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 PriorityQueueTest
proctest properDivisors pseudoprimes pumpHolder
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 screwThreads screwThreadsTest
screwThreadsTest3Start screwThreadsTestRing 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 VacuumNozzle vaporize2
vd vectorTiming VenusApparent verifySSH
VINChecker VoxelArrayTest VoxelPolygonTest VoxelRotatedPolygonTest
VoxelRotateTest VoxelSolidOfRotation VoxelStrokePolygonTest VoxelTaperedPolygonTest
VoxelXYZRotateTest vsop87 Water1984 water2unicode
waterold waterUnicode wheelgame windchill
winterSolsticePlot WordFrequency Words wordTransform
Writer WWIICache wynnhenge wynnhengemoon
xkcd287 XtotheX XtotheXbetter YCbCr
YentzenPuzzle ZehnGray ZipFile

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