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Index Exercise 4: Leap Year (Difficult)
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 1      About Futurama
 1.1        Version information
 1.2        Getting Started
 1.2.1          Futurama Website
 1.2.1.1            Behavior of Futurama regarding TimeOuts, Login and Logoff
 1.2.1.2            Replacing an existing Futurama Session
 1.2.2          Futurama Webservice
 1.2.2.1            warmUpDocuments
 1.2.3          Futurama Export
 1.3        Overview - Futurama Modules
 1.3.1          Overview - Futurama Accounts
 1.3.2          Overview - Futurama Server
 1.3.3          Overview - Futurama Monitor
 1.3.4          Overview - Futurama Insight
 1.3.5          Overview - Futurama Console
 1.3.6          Overview - Futurama Webservice
 1.4        Loadbalancing Futurama applications
 1.4.1          Getting the most out of Futurama Web using the Load-Balancer
 1.4.2          Application Request Routing
 1.5        Text management and Multi-language
 2      Installation – Configuration – Testing
 2.1        Installation - Futurama Website Edition
 2.1.1          Installation Futurama HTML
 2.1.2          Installation Futurama Monitor
 2.1.3          Installation Futurama Insight
 2.1.4          Installation Futurama Accounts
 2.1.5          Installation SAML2LoadBalancer
 2.2        Installation - Futurama Export Edition
 2.2.1          Installation Futurama Console
 2.2.2          Installation Futurama Server
 2.3        Installation - Futurama Webservice Edition
 2.3.1          Installation Futurama Webservice
 2.4        Installation Futurama Editor
 2.5        Configuration
 2.5.1          Configuration - Cache
 2.5.2          Configuration - Calculation
 2.5.3          Configuration - Debug
 2.5.4          Configuration - File manager
 2.5.5          Configuration - Fileproviders
 2.5.6          Configuration - Format
 2.5.7          Configuration - History
 2.5.8          Configuration - Identity Provider
 2.5.9          Configuration - Log
 2.5.10           Configuration - Mail
 2.5.11           Configuration - Mapping
 2.5.12           Configuration - Monitor
 2.5.13           Configuration - PlugIns
 2.5.14           Configuration - Rendering
 2.5.15           Configuration - ScenarioRecording
 2.5.16           Configuration - Security
 2.5.17           Configuration - Server
 2.5.18           Configuration - Vision
 2.5.19           Configuration - WebAPI
 2.6        Logging
 2.7        Troubleshooting
 2.8        Security - hardening
 3      Updating and file compatibility
 3.1        Updating Futurama - Compatibility behavior
 3.2        Converting Futurama documents
 3.3        12819 - DataTable file updates
 3.4        12889 - DataTable file updates
 3.5        Conversion web.config to .NET Framework 4
 3.6        Deprecated conversion formulas
 4      Futurama Editor - How to
 4.1        At first glance
 4.2        Developing in the Futurama Editor
 4.2.1          Working with objects
 4.2.2          Evaluating objects
 4.2.3          Finding objects
 4.3        Transferring objects
 4.4        Testing objects
 4.5        Validating objects
 4.6        Troubleshooting objects
 4.7        Advanced/special functionality
 4.8        Checking the layout of objects
 5      Futurama - Formulas
 5.1        Futurama Formulas - Date and time
 5.1.1          Date
 5.1.2          Day
 5.1.3          Days360
 5.1.4          Days360Excel
 5.1.5          DaysInMonth
 5.1.6          DaysInPeriod
 5.1.7          Min
 5.1.8          Max
 5.1.9          Month
 5.1.10           Now
 5.1.11           WeekDay
 5.1.12           Year
 5.2        Futurama Formulas - Math
 5.2.1          Abs
 5.2.2          Add
 5.2.3          Divide
 5.2.4          Floor
 5.2.5          Ln
 5.2.6          Log
 5.2.7          Log10
 5.2.8          Mod
 5.2.9          Multiply
 5.2.10           Pi
 5.2.11           Power
 5.2.12           Rand
 5.2.13           Round
 5.2.14           RoundDown
 5.2.15           RoundUp
 5.2.16           SquareRoot
 5.2.17           Subtract
 5.3        Futurama Formulas - Statistical
 5.3.1          AverageDeviation
 5.3.2          Beta
 5.3.3          Binomial
 5.3.4          Covariance
 5.3.5          Factorial
 5.3.6          Gamma
 5.3.7          GeometricMean
 5.3.8          Lognormal
 5.3.9          Max
 5.3.10           Median
 5.3.11           Min
 5.3.12           Normal
 5.3.13           StandardDeviation
 5.3.14           Uniform
 5.3.15           Variance
 5.4        Futurama Formulas - Text
 5.4.1          CalculateBase64Hashcode
 5.4.2          CalculateXmlHashcode
 5.4.3          Concatenate
 5.4.4          ConcatenateBase64
 5.4.5          ContainsText
 5.4.6          Convert.CSV.2.XML
 5.4.7          ConvertFromBase64
 5.4.8          ConvertToBase64
 5.4.9          ConvertXml
 5.4.10           DecodeURL
 5.4.11           DecryptXml
 5.4.12           EncodeURL
 5.4.13           EncryptXml
 5.4.14           Find
 5.4.15           HashBase64EncodedFile
 5.4.16           HashBase64EncodedFileWithBase64
 5.4.17           HashText
 5.4.18           HashTextWithBase64
 5.4.19           Left
 5.4.20           Len
 5.4.21           Linefeed
 5.4.22           Lower
 5.4.23           Mid
 5.4.24           Proper
 5.4.25           ReadConfigKey
 5.4.26           ReadDirectoryNames
 5.4.27           ReadFile
 5.4.28           ReadFileAsBase64
 5.4.29           ReadFileNames
 5.4.30           ReadFileWithEncoding
 5.4.31           ReadXPathScalar
 5.4.32           ReadXPathVector
 5.4.33           Repeat
 5.4.34           Right
 5.4.35           Substitute
 5.4.36           Trim
 5.4.37           TrimLeft
 5.4.38           TrimRight
 5.4.39           Upper
 5.4.40           ValidatePattern
 5.4.41           XsdMessages
 5.5        Futurama Formulas - Logical
 5.5.1          And
 5.5.2          IsEmpty
 5.5.3          If
 5.5.4          IsEqual
 5.5.5          IsEven
 5.5.6          IsGreater
 5.5.7          IsGreaterEqual
 5.5.8          IsIBANChecksumValid
 5.5.9          IsLess
 5.5.10           IsLessEqual
 5.5.11           IsMemberOfGroup
 5.5.12           IsNotEqual
 5.5.13           IsOdd
 5.5.14           IsValidXml
 5.5.15           Not
 5.5.16           Or
 5.5.17           ValidateNPR
 5.6        Futurama Formulas - Table
 5.6.1          FindNextRow
 5.6.2          FindPreviousRow
 5.6.3          FindRow
 5.6.4          Sort
 5.6.5          VLookUp
 5.7        Futurama Formulas - Document
 5.7.1          CountErrors
 5.7.2          GetPathToDataFiles
 5.7.3          GetPortNumber
 5.7.4          GetRelativePathToDataFiles
 5.7.5          GetSessionID
 5.7.6          IsLicenceAvailable
 5.7.7          ReadError
 5.7.8          ReadIdentityProviderResult
 5.7.9          ReadRequestIP
 5.7.10           ReadRequestParameter
 5.7.11           ReadUserAgent
 5.7.12           ReadVersionNumber
 5.7.13           SessionTimeOut
 5.7.14           URL
 5.7.15           UserName
 5.8        Futurama Formulas - Conversion
 5.8.1          Convert.Excel.to.XML
 5.8.2          ConvertJSONtoXml
 5.8.3          ConvertTextToDate
 5.8.4          ConvertTextToNumber
 5.8.5          ConvertToBoolean
 5.8.6          ConvertToDouble
 5.8.7          ConvertToLong
 5.8.8          ConvertToString
 5.8.9          FormatDate
 5.8.10           FormatNumber
 5.8.11           Value
 5.9        Futurama Formulas - Matrix
 5.9.1          AddMatrices
 5.9.2          AddScalarToMatrix
 5.9.3          Cumulative
 5.9.4          CumulativeProductMatrix
 5.9.5          Distinct
 5.9.6          DivideMatrices
 5.9.7          DivideMatrixScalar
 5.9.8          DivideScalarMatrix
 5.9.9          Exponent
 5.9.10           First
 5.9.11           Floor
 5.9.12           If
 5.9.13           Index
 5.9.14           Inverse
 5.9.15           IsEqual
 5.9.16           IsGreater
 5.9.17           IsGreaterEqual
 5.9.18           IsNotEqual
 5.9.19           IsLess
 5.9.20           IsLessEqual
 5.9.21           Join
 5.9.22           Last
 5.9.23           Length
 5.9.24           MatrixProduct
 5.9.25           Max
 5.9.26           MaxScalarMatrix
 5.9.27           Mean
 5.9.28           Mid
 5.9.29           Min
 5.9.30           MinScalarMatrix
 5.9.31           MultiplyMatrices
 5.9.32           MultiplyMatrixVector
 5.9.33           MultiplyScalarMatrix
 5.9.34           Percentile
 5.9.35           PowerMatrix
 5.9.36           PowerMatrixScalar
 5.9.37           PowerScalarMatrix
 5.9.38           ReadMatrixFromXml
 5.9.39           Repeat
 5.9.40           Replace
 5.9.41           Reshape
 5.9.42           ReverseCumulativeProductMatrix
 5.9.43           ReverseMatrix
 5.9.44           Size
 5.9.45           Split
 5.9.46           SquareRootMatrix
 5.9.47           Step
 5.9.48           SubtractMatrices
 5.9.49           SubtractMatrixScalar
 5.9.50           SubtractScalarMatrix
 5.9.51           Sum
 5.9.52           Transpose
 5.9.53           UnitMatrix
 5.9.54           Vector
 5.10         Creating custom formulas in Futurama
 6      Futurama - Objects
 6.1        Action
 6.2        Aggregation
 6.3        Button
 6.4        ChangeValue
 6.5        CheckBox
 6.6        ClearCache
 6.7        DatabaseField
 6.8        DatabaseView
 6.9        DataTable
 6.10         DateBox
 6.11         DocConverter
 6.12         Document
 6.13         Download
 6.14         DropDownList
 6.15         EmailConverter
 6.16         ExcelConverter
 6.17         FileSaver
 6.18         FileUploader
 6.19         Fixed
 6.20         Formula
 6.21         GraphConverter
 6.22         HTMLInclude
 6.23         InterfacesNode
 6.24         LogMessage
 6.25         Navigator
 6.26         Node
 6.27         RadioButton
 6.28         RadioGroup
 6.29         Range
 6.30         Reference
 6.31         SubDocument
 6.32         TextBox
 6.33         UserTable
 6.34         UserVariable
 6.35         WebLabel
 6.36         WebListBox
 6.37         WebPage
 6.38         WebPanel
 6.39         WebReference
 6.39.1           WebReference - WCF Configuration
 6.40         WebService
 6.41         WebSlider
 6.42         WordConverter
 6.43         XmlBuilder
 6.44         XmlConverter
 6.45         XmlField
 6.46         XmlNode
 7      Futurama - Vision References
 7.1        Data
 7.1.1          ReadData
 7.1.2          WriteMessage
 7.1.3          GetPersonIdentifiers
 7.1.4          CreatePerson
 7.2        DataStore
 7.2.1          DeleteDataItem
 7.2.2          DeleteDataItemHierarchy
 7.2.3          DeleteDataItems
 7.2.4          GetDataItem
 7.2.5          GetDataItemHierarchy
 7.2.6          GetDataItems
 7.2.7          StoreData
 7.3        Accounts
 7.3.1          Activate Account
 7.3.2          Change Account
 7.3.3          Create Account
 7.3.4          GetQuestion
 7.3.5          GetQuestions
 7.3.6          Login
 7.3.7          ReadData
 7.3.8          ReinitializeAccount
 7.4        General
 7.4.1          TestConnection
 8      Futurama Vision
 8.1        Installation Futurama Vision
 8.1.1          Installation Futurama Vision Management Site
 8.1.2          Installation or Upgrade of the Futurama Vision Database
 8.2        Futurama Vision Management Site
 8.2.1          Futurama Vision Management Site - Admin
 8.2.2          Futurama Vision Management Site – Security
 8.2.3          Futurama Vision Management Site – Skinning
 8.2.4          Importing data into Futurama Vision
 8.2.4.1            Importing data by webservice
 8.2.4.2            Importing data from a Zip-file
 8.2.4.3            Importing data with Futurama Vision Batch
 8.2.4.4            Futurama Vision Webservice Security
 8.2.5          Further processing of data into Futurama Vision
 8.3        Futurama Vision File manager
 8.4        Activity overview
 8.5        Storing data in Vision from a Futurama application
 8.6        Futurama Vision – Data
 8.7        Futurama Accounts - Management Site
 8.7.1          Futurama Accounts - Table in Vision Database
 8.8        Futurama Server - Management Site
 8.8.1          Special Futurama Server Jobs
 8.9        Futurama Register - Management Site
 8.9.1          Configuration - Futurama Register
 8.10         Retrieving AppEvents from Futurama Vision
 8.11         Adding CustomPages to Vision
 9      Futurama Intermediate Control Output (FICO)
 9.1        FICO example - Change/Add HTML headers
 9.2        FICO example - Change Graph
 9.3        HTML5 Template
 10       Futurama Web API
 10.1         Postbacks of Futurama webcontrols
 10.2         Retrieving Resources using Web API
 10.3         WebAPI Session management
 11       Tutorials - Overview
 11.1         Tutorials - Examples and Downloads
 11.2         Beginners
 11.2.1           Creating formulas with Futurama
 11.2.1.1             Exercise 1: Pythagorean Theorem (Easy)
 11.2.1.2             Exercise 2: Newspaper stall (Medium)
 11.2.1.3             Exercise 3: Recursive functions (Difficult)
 11.2.1.4             Exercise 4: Leap Year (Difficult)
 11.2.1.5             Exercise 5: The Guessing Game I (Medium)
 11.2.2           Creating a Website Application
 11.2.2.1             Exercise 1: Creating a Website (Easy)
 11.2.3           Styling your website with CSS
 11.2.3.1             Exercise 1: Adding CSS (Easy)
 11.2.4           Adding interactivity to your website
 11.2.4.1             Exercise 1: Summation (Easy)
 11.2.4.2             Exercise 2: The Guessing Game II (Medium)
 11.2.4.3             Exercise 3: Nationality (Medium)
 11.2.4.4             Exercise 4: Nationality - RepeatTarget (Medium)
 11.2.4.5             Exercise 5: Reversed Guessing (Difficult)
 11.2.5           Working with Tables
 11.2.5.1             Exercise 1: Average (Easy)
 11.2.5.2             Exercise 2: Boundary values (Difficult)
 11.2.5.3             Exercise 3: Standard Deviation (Medium)
 11.2.6           Reading and processing XML-data in Futurama
 11.2.6.1             Exercise 1: Shares (Medium)
 11.2.7           Adding Graphs in Futurama
 11.2.7.1             Exercise 1: World Population (Easy)
 11.2.8           Working with Actions in Futurama
 11.2.8.1             Exercise 1: Changing Colors (Easy)
 11.2.8.2             Exercise 2: On and Off (Medium)
 11.2.8.3             Exercise 3: The ChangeValue object (Difficult)
 11.2.8.4             Exercise 4: The Guessing Game III (Medium)
 11.2.8.5             Exercise 5: CheckBox (Medium)
 11.2.9           Multiple Pages and Navigation
 11.2.10            Using XSLT to display data
 11.2.10.1              Exercise 1: Overview Summation (Easy)
 11.2.10.2              Exercise 2: Persons (Medium)
 11.2.10.3              Exercise 3: Leap Year Overview (Difficult)
 11.2.11            Webservices in Futurama
 11.2.11.1              Exercise 1: Example (Easy)
 11.2.12            Creating a Webservice Application
 11.2.12.1              Exercise 1: Add (Easy)
 11.2.12.2              Exercise 2: Webservice Nationality (Medium)
 11.2.13            Creating a Console Application
 11.2.13.1              Exercise 1: Adding extra fields (Easy)
 11.2.14            Generating Documents
 11.2.14.1              Exercise 1: Tax Rate (Medium)
 11.2.14.2              Exercise 2: Tax Rates Table (Difficult)
 11.3         Advanced
 11.3.1           Responsive Design
 11.3.1.1             Exercise 1: Orientation
 11.3.1.2             Exercise 2: Target different screen sizes
 11.4         Older Tutorials (Futurama Version 3.2)
 11.4.1           Futurama Editor Tutorial 1: The first sum
 11.4.2           Futurama Editor Tutorial 2: An annuity
 11.4.3           Futurama Editor Tutorial 3: Working with tables
 11.4.4           Futurama Editor Tutorial 4: Modelling a DB pension plan
 11.4.5           Futurama Editor Tutorial 5: Working with XML
 11.4.6           Futurama Web Tutorial 1: Hello world
 11.4.7           Futurama Web Tutorial 2: Buttons and Actions
 11.4.8           Futurama Web Tutorial 3: Textboxes
 11.4.9           Futurama Web Tutorial 4: DropdownLists
 12       Miscellaneous
 12.1         Responsive website
 12.2         Reducing memory usage for XmlNodes and XmlFields
 12.3         Explaining caching for websites and webservices
 12.4         Certificates - basic information
 12.5         Performance XML operations
 12.6         Creating XSD files and using them in combination with Futurama
 13       Templates
 14       Safe2Save WebAPI Sample
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Exercise 4: Leap Year (Difficult)

Developer
Tutorial

 

Module: Editor

Version: 4.2.1 +

User: Developer

Difficulty: Difficult

Introduction

This exercise teaches you how to construct a multiple nested formula.

 

Prerequisites

- The Futurama Editor must be installed.
- Completing the tutorial Creating formulas with Futurama first, is recommended. 

 

Description

The duration of a solar year is not exactly 365 days, but 365 days, 5 hours, 48 minutes and about 46 seconds. A year therefore should hold 365.2422 days, which is slightly less than 365.25 day. We correct this difference by using a leap day occurring once in the four years.

However, this rule of adding a leap day ‘every’ fourth year overcompensates. (Because 0.2422 x 4 is slightly less than 1).
Therefore we use the rule that a century year is not a leap year unless it is evenly divisible by 400.
So: century years that can be divided by 400 (like 2000) have a leap day. Century years that can't be divided by 400 don't have a leap day (like 1900 and 2100).

Assignment

Create a formula with Futurama that determines if a year is a leap year or not.

This formula should be a boolean that returns the value TRUE if:

(divisible by 4 AND not divisible by 100) OR (divisible by 400)

Use this formula to check if the following years are leap years:

  • 1896
  • 1900
  • 2000
  • 2002
  • 2008
  • 2100

Tips

  • Create a formula IsLeapYear of the type Boolean with an argument Year of the type Long.
  • To determine if a year is divisible by a certain number, you could use the following construction:
    Round down the division of the year and number and compare this to the unrounded division. If they are equal, the year is divisible by the chosen number. If not, the year is not divisible by the number chosen.
  • Use the logical formulas AND and OR to construct the final formula.

Solutions

Answers

  • 1896: TRUE
  • 1900: FALSE
  • 2000: TRUE
  • 2002: FALSE
  • 2008: TRUE
  • 2100: FALSE

Download

image

You can download our solution for this assignment by clicking the image at the right. (Futurama 4.2.1.2)
Please note that you can very well have a different solution that is just as good as ours.

In the download solution, three different solutions are given:

  1. Leap Year - Basic
    This solution holds three different formulas: isDivisibleby4, isDivisibleby400, isNotDivisibleby100  
  2. Leap Year - Advanced
    In this solution, an argument is used to create a generic formula that checkes if a year is divisible by the number. 
  3. Leap Year - Different 
    Different solutions are almost always possible. In this solution we use the fact that Futurama already holds a calendar-functionality. We check if the month february holds 29 days for the given year. If that's the case, the year is a leap year.

Variations

If you want some more practise on this subject, you could try the extra exercises below.
We won't provide a solution for these variations, just consider them as a way to further experiment with Futurama.

  • (Medium:) Try to construct the three different solutions we've given in the download-section
  • (Difficult:) Try to create another different solution using the formula DaysInMonth (type Long).

Updated: 2012-12-10

 


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