Excel VBA A Collection

This is a collection of Excel VBA programs and of some Excel spreadsheet formulas which I found reasonable.

Note: I successfully tested the applications and formulas presented here with Excel 2024.

Table of Contents                                                               
                                                                                
Excel / VBA – A Collection                                                      1
  Abstract                                                                      2
  Excel Learning Path                                                           2
The Excel / VBA Programming Environment                                        11
  Abstract                                                                     11
  Basics                                                                       11
    Variables                                                                  11
      Types of Variable                                                        11
      Scope                                                                    12
    During Editing                                                             12
    During Program Execution                                                   13
      Breakpoints                                                              13
      Error Handling                                                           13
    Environment Variables                                                      15
    Good Programming Practices                                                 15
      Be a Good Programmer                                                     15
      Good Excel and VBA Knowledge                                             15
      Programming Conventions                                                  16
      Clean Up Macro Recordings                                                16
      Document Your Program Adequately                                         16
      Test Your Program Thoroughly                                             16
      Log Your Program Execution                                               16
  Speed up Your Program (Profiling)                                            17
    Modules                                                                    17
      Normal                                                                   17
    Class Modules                                                              19
  System Status Save and Restore – SystemState Class                           20
    System Status Variables                                                    20
    SystemState Program Code                                                   21
  Documenting Program Flow – Logging Class                                     23
    Pros and Cons                                                              23
    Parameters                                                                 24
    Sample Output                                                              25
    Modules                                                                    26
    Class Modules                                                              31
    Excursus: Logger for PowerShell – Write-Log                                33
  Start / Stop OneDrive Synchronization                                        34
  Export a Range as Picture – sbExportRange2Picture                            36
  List Named Ranges – sbNamedRanges                                            39
  Number of Dimensions of an Array – ArrayDim                                  39
  Show Excel Version – ApplicationVersion                                      40
  Retrieve Cell Information – sbGetCell                                        41
  Next Floating Point Number – sbNextFloat                                     47
  Calling Other Windows Programs Using the Example sbZip                       48
  Excel Don’t’s – What You Should not be Doing with Excel                      50
    A table of what you should avoid                                           50
Number Systems, Formats, and Transformations                                   51
  Abstract                                                                     51
  Transformations and Calculations of Numbers                                  51
    Spell Numbers in English Words – sbSpellNumber                             51
    Convert Decimal into Binary Numbers – sbDec2Bin / sbBin2Dec                55
    Identify German Bank Holidays – IstFeiertag                                60
    Present the Full-Length Number – sbNum2Str                                 64
    Significant Digits of a Number – sbNSig                                    65
    Return the Number for a Month’s Name – sbMonthNumber                       66
    Calculation of the Circle Constant π                                       69
      First 1,000 Digits of π                                                  72
    Calculation of Euler's Number e                                            73
      First 1,000 Digits of e                                                  74
    Literature                                                                 75
    Shorten a Number Sequence Representation – sbParseNumSeq                   75
  Rational Numbers = Fractions                                                 77
    Nearest Rational Number to a Given Floating Point Number – sbNRN           77
    Linear Equations with Rational Coeffizients                                80
    Present Quota Changes as Fractions                                         83
    Monthly Fractions                                                          84
  Linear Combination of Integers                                               85
    Extended Euklidean Algorithm – sbEuklid                                    85
  Time Representations                                                         87
    Calculate Working Hours Between Two Time Points – sbTimeDiff               87
    Add Working Hours to a Time Point – sbTimeAdd                              90
    Convert a Time to a Different Time Zone – ConvertTime                      93
  Check Digits                                                                 93
    Calculate or Check a European Article Number – sbEAN                       93
  Ordinal Numbers                                                              94
Simple Math with Formulas                                                      95
  How to Analyze Spreadsheet Formulas                                          95
  Testing Date Formulas                                                        96
  First or last Weekday of a Month                                             98
  Same Weekday and Calendarweek last year                                      99
  Budget Control                                                              100
  Increment Lowest Significant Digit                                          101
  Linear Breakdown                                                            102
  Merge two columns justified into one                                        105
  Minimum Truck Load Problem                                                  106
  Count Trailing Zeros                                                        107
  Minimax Interpolation                                                       107
  Interpolation with PERCENTILE / PERCENTRANK                                 109
  Interpolation with TREND                                                    111
  REFA Time Slicing                                                           112
  Roles and Rights                                                            113
  Rounding is Fun                                                             114
  Tip Distribution                                                            115
  Smoothing Inner Period Values                                               117
  Cell Based Charts                                                           118
Simple VBA Programs                                                           120
  Abstract                                                                    120
  Sum up Numbers with same Number Format – sbSumMyFormat                      120
  Count Cells with Certain Color – sbCountMyColor                             121
  Allocate Assets to a Portfolio – sbAllocate                                 122
  Eliminate Outliers – sbORB                                                  123
  Fair Distribution of a Limited Budget – sbDistBudget                        125
  Compute Collatz Length – sbCollatz                                          127
  Rank Item Uniquely – sbUniqRank                                             128
  Eliminate Points of a Graph with Small Slope Changes – sbReducePoints       130
  Birthday List – sbBirthdayList                                              132
  Accumulated Trade Blotter – sbAccumulatedTadeBlotter                        134
  Most Frequent Pairs – sbMostFrequentPairs                                   136
  Interpolate – sbInterp                                                      138
  Combinations with Subsets k of n                                            140
  Lookup Variants                                                             142
  Minimal Number of Banknotes and Coins – sbMinCash                           145
  Rebalance AssetClass Weights of a Portfolio – sbRebalancedReturn            148
  Optimal Pitstops                                                            150
  Optimal Usage of Vacation Days                                              152
  Create a Round Robin Tournament – sbRondRobin                               154
  Test Access Rights                                                          157
Advanced VBA Programs                                                         160
  Abstract                                                                    160
  Employee Revenue Shares                                                     160
  Keeping Track of extreme Cell Values – sbCellWatermarks                     166
  A Task List – sbTaskList                                                    168
  Accounts Receivable Problem                                                 171
  Data Analysis – sbDatastats                                                 174
    System Handbook                                                           174
      Overview                                                                174
      Parameters in Sheet Param                                               175
    User Handbook                                                             175
      Summary                                                                 175
      Config File FileSpecs.csv                                               176
      Numstats Output                                                         176
      Numstats Move Output                                                    177
      Textstats Output                                                        177
      Textstats Move Output                                                   177
      Output Limits File                                                      178
      Output Limits Move File                                                 179
  Weight Calculation                                                          209
    Useful Extensions and Generalizations                                     211
  Lottery k-Tuples                                                            218
  Mini Calculator                                                             221
  Mortality Annuities                                                         228
    Complex Array Formula (Worst)                                             228
    Simple user defined function in VBA (Better)                              229
    Pre-calculated Table plus an NPV Formula (Maybe Best)                     229
  Financial Mathematics – Options                                             230
    The binomial Method                                                       230
    Trinomial Trees and Finite Difference Methods                             236
    Monte Carlo Simulation                                                    242
  Generate all Permutations of an Array – Quickperm                           252
  A maintenance-free Database                                                 254
    Limitations                                                               254
    Responsibilities                                                          254
    System Documentation                                                      255
    User Documentation                                                        255
      Super User with Read/Write Access                                       255
      Normal User with Read-Only Access                                       255
    Appendix – SQL Code                                                       256
    Appendix – VBA Code                                                       259
  Excursus: Compare Correlation Matrices                                      262
    Abstract                                                                  262
    Implemention Approach                                                     262
    Parameters                                                                262
Rounding Values Preserving Their Sum with RoundToSum                          276
  Abstract                                                                    276
  Rounding Values Preserving Their Sum                                        276
    Percentage Example                                                        276
    Example with Absolute Values                                              277
  The User-Defined VBA Function RoundToSum                                    277
  RoundToSum Program Code                                                     278
  Round2Sum Lambda Expression                                                 279
  Rounding Values Alters Their Sum                                            280
  Usage Examples of RoundToSum                                                282
    Allocation of Overheads                                                   282
    Example of an Exact Relation of Random Numbers                            284
      The User-Defined VBA Function sbExactRandHistogrm                       285
    Fair Staff Selection Based on Team Size – sbFairStaffSelection            287
    Distribute a Sample Normally                                              289
    Distribution of Budgets Among Remaining Staff                             294
      A Simple Approach                                                       294
      A Correct Calculation                                                   294
    Take Vacation When Less is Going on                                       295
      Simple Example                                                          295
      More Complex Example                                                    296
    Assign Work Units Adjusted by Delivered Output                            297
  RoundToSum Versus Other Methods                                             298
    RoundToSum Versus Other "Simple" Methods                                  298
    RoundToSum Compared to the D’Hondt Approach                               301
  Literature                                                                  301
Random Number Generation (Excel / VBA)                                        302
  Abstract                                                                    302
  Random Integers                                                             302
    Natural Random Numbers – UniqRandInt                                      302
    Random Integers – sbRandInt                                               304
    Random Numbers with a Specified Sum                                       306
      Minimum of Random Numbers given – sbLongRandSumN                        306
      Minimum and Maximum of Random Numbers given – sbRandIntFixSum           307
  Usage Examples for Random Integers                                          309
    Krabat, the Satanic Mill – How old can the apprentices become?            309
    Generate a Math Test with Random Integer Inputs – Generate_Math_Test      310
    Monte Carlo Simulation to Generate Teams Fairly – sbGenerateTeams         312
    Monte Carlo Simulation for a Regatta Flight Plan – sbRegattaFlightPlan    316
    Chances at Board Game Risk                                                319
    A Simple Monte Carlo Simulation                                           323
  Random Floating Point Numbers                                               325
    Generate an Ideal Normal Distribution – sbGenNormDist                     325
    Generate Random Numbers with a Sum of 1 – sbRandSum1                      327
    Distributions of Random Floating Point Numbers                            329
      sbRandGeneral                                                           329
      sbRandHistogrm                                                          332
      sbRandTriang                                                            335
      sbRandTrigen                                                            336
      sbRandCauchy                                                            340
      sbRandCDFInv                                                            341
      sbRandPDF                                                               342
      sbRandCumulative                                                        343
    Brownian Bridges                                                          345
      sbGrowthSeries                                                          345
      Fix Sum from Random Corridors                                           347
  Correlated Random Numbers                                                   349
    Cholesky Decomposition                                                    349
    Iman-Conover Method                                                       351
  Practical Applications of General Random Numbers                            358
    Generating Test Data – sbGenerateTestData                                 358
    Random Numbers which do not reappear too soon – sbRandomNoRepeatBeforeN   368
  Excursus                                                                    370
    Calculating Probabilities – Drawing Cards With and Without Replacement    370
Fun without Practical Relevance for Advanced Learners                         371
  A Simple VBA Pivot Table – sbMiniPivot                                      371
  Round-Robin Tournament Pairings with Excel Worksheet Functions              374
    Developing a Formula-Based Solution for a Round-Robin Tournament          374
  TEXTJOIN                                                                    378
Index                                                                         379

Please read my Disclaimer.

Plumhoff_Excel_VBA_A_Collection.pdf [13.9 MB PDF file, open and use at your own risk]

Extract on rounding numbers preserving their rounded sum:

Plumhoff_Rounding_Values_Preserving_Their_Sum.pdf [1.3 MB PDF file, open and use at your own risk]

Extract on generating random numbers:

Plumhoff_Generating_Random_Numbers_with_Excel_VBA.pdf [13.4 MB PDF file, open and use at your own risk]