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 2023-12-02 AM 01:15:35.073 (Sat) 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 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 caltrops cambridgetemp cambridgetempFourier
candleHolder cantorOrdering cap3D CarTalkPuzzle
CarTalkPuzzle2 chainGuide ChineseMarch ChineseRemainderTheorem
chopsticks circleTest circularOrbit classRedefinitionTest
ClipTest ClipTestPolygon codeBlocks 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 cylindricalEmbossGrayTest cylindricalEmbossTest DeadDrop
deBruijn decheckerboard decipherbible decipherrabbit
decodeBuilt decrypt Deducer 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 FrinkRulesAmbigram 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 gzipMemory
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 mastermindDeducer 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
moonPositionAngle 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 planarEmbossTest 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
saturnRingAngle 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 sphericalEmbossGrayTest
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 toiletScrew 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 venusPositionAngle 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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