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 2023-05-25 AM 12:59:17.980 (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 AhlsBenchmark
airfoil airfoilExtrudeTest airfoilExtrudeTestNew airfoilPoster
allFactors2 allTransforms almostPrime altAzimuthToXYZTest
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
BinarySplittingExp BinarySplittingFactorial BinarySplittingPi BinaryWriter
birdhouse Boggle boilingPointTest BooleanTransformations
BoulderArtsAndMaths27 boyGirlPuzzle Braille BrailleTest
breaktest Brix BruteForce BullsAndCows
CacheFreeGDMII cambridgetemp cambridgetempFourier candleHolder
cantorOrdering cap3D CarTalkPuzzle CarTalkPuzzle2
chainGuide ChineseMarch ChineseRemainderTheorem chopsticks
circleTest circularOrbit classRedefinitionTest ClipTest
ClipTestPolygon collatorTest collectTransformations colorboxes
colorillusion 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 currencySymbols
curvefit curveFit curveFitTest cylindricalEmbossTest
DeadDrop deBruijn decheckerboard decipherbible
decipherrabbit decodeBuilt decrypt deltat
Derby derbyDraw derbytrack derbytrack2
descriptorsFogus DigitalPerfection DigitalPerfection2 digitalSundial
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 ellipsoidTest EmilysFourthHour emirp
encoding encodings epochClock epochClockBinary
error exactSeasons exponentialSpiral exponentialSpiralIn
exponentialSpiralOut extrudeTest factor factor2
factorableWords factorFactorial factorsOf10 fetchweather
fibonacci fibonacciSpiral fireworks flag
floatingPointBase floatTiming floodFillTest 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 GalileoJupiterMoons Game Gamma
GEBCube GEBCube2 GelfandsQuestion GeneralPathClipTest
GeneralPathExample GeneralPathExamples generalPathMatch GeneralPathTest
geocaching GeometricMedian GoogleEarth GoogleTranslate
gradingProblem Graph graph3D graphemesTest
graphicalSieve graphicsAddTest graphicsTest graphpaper
graphRiemannZeta GraphTest GrayCodes grayscaleBars
greatCircleMap GreatPyramid Grid gripper
guitoolstest gyrojet harvest harvest2
hemispheres hexaflexagon hexaflexagonImage hinttest
HubbleUDF humanBodySurface 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 knapsack knapsackTest koodipuzzle
lambda LambertW largestTweetablePrime latitudeComparison
latitudeComparison2 LatLongToUTM launchdrag LeastSquares
LeastSquaresTest lefthand leftTruncatablePrimes letterFrequency
letterGraph lettergrid LiarLiarII lineWrapper
linkFAQ listCountries listFonts listFunctions
listUnits longestWord lowestFactor L-system
L-system-animated makeCountries manhattanhengemoon manhattanhengesun
mapDymaxion mapStates mapStatesSinusoidal mapTest
mapTimeTest mapTimezones mastermind mastermindGeogebra
MathML Matrix MatrixInvert MatrixLUTest
MatrixQRTest maximize McKellarPuzzle MD5crack
medievalPlanets 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
moon3DSolid moonangle mooncomparison moonDrawingTest
moonPlanetPlot moonsize moonsizecut mooreslaw
mugCap multifortest multifortest2 multiline
multinexttest MultiplicationFrustration musicalscale namefreq
NancyDrewDogsPuzzle NewtonDivision NewtonsMethod nextLargestPrime
nextPrimeTest nonterm normalCurve normalCurve2
normalCurve3 nozeroes numberCheckerboard OneRingEmboss
oonapuzzle optimumLaunch orbit orbitalBurn
OrderedList organisms Othello outputtest
paintAlongHullTest 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 PSLQ pumpHolder punctuationCipher
pushclasstest pushtest qrcode quadtree
randomprime ReadASpecificLine 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 SlideRule Sneaky1 Sneaky2
socatprime SolarCooker SolarCooker2 Solver
SolverTest solveTest solveTest2 solveTrigonometric
sorttest sousvide sousvideTy spheresProblem
spheresProblem2 sphericalEmbossTest 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 TicTacToe TierraEstella timeFullMoon
timefunc TLE tns tongs
tongsRounded TopHat3D torusTest toStringTest
TowersOfHanoi transit transit3 TravellersDilemma
Tree TreeTest trs80ify tryTest
Tupper TupperGen tvaspect TysonTweet
undocumentedFunctions Unicode unicodeGraphics unicodeGraphics2
UnitMathHelper unittable universeNote use
usehttp useparent UT1 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
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