by http://www.paretoanalysts.com (5 Submissions)
Category: Math/Dates
Compatability: VB 6.0
Difficulty: Unknown Difficulty
Originally Published: Fri 14th December 2001
Date Added: Mon 8th February 2021
Rating: 
(1 Votes)
Fibonacci Algorithm recursively creates a Fibonacci Series. This is a series where each member is the sum of the two previous members and the
VBcoders
Variant
On Error GoTo ErrorHandler
'************************************************************************
**********************************
'
'Purpose: An Algorithm that creates the Fibonacci members of a
series.
'
'Argument(s): Start_Number - The number to start the
Fibonacci series with.
'
'Source: http://www.paretoanalysts.com
'
'Author: Pareto Analysts
'
'Creation Date: December 1, 2001
'
'Description: Creates a Fibonacci series F(N) = F(N-1) + F(N-2) ,
where F(0) = F(1) = 1.'
' E.g. Fibonacci(20). It recursively calls the
Fibonacci function to create the series.
' Each member F(N) is the sum of the two previous
members F(N-1) and F(N-2).
'
' It calls the Private Function Fib(N) which creates
the members one at a time, recursively
'
'Return Value: The Fibonacci Series of the number passed to the
function.
'
'Return Type: Variant
'
'
'
'Warranty : No claim is made as to the accuracy or fitness of
this algorithm. The use of this
' algorithm is at your own risk and choice and the
author is not liable in anyway
' for its use or damages that may occur as a result of
its use.
'
'Copyright: The use or distribution of this algorithm is free
provided that it is
' used or distributed along with this header notice and
this header notice
' has not been modified in any way. If this algorithm
is used in a compiled form then
' the header notice must also be placed in a readme.txt
file
'
'Inquiries: Inquiries about this algorithm, data mining,
statistical analysis and data analysis
' can be directed to http://www.paretoanalysts.com
'
'************************************************************************
**********************************
Do While (Start_Number >= 0)
'Build the Fibonacci Series
Fibonacci = Fibonacci & "," & Fib(Start_Number)
Start_Number = Start_Number - 1
Loop
Fibonacci = Trim(Replace(Fibonacci, ",", "", 1, 1, vbTextCompare))
'Remove any leading commas and spaces
Exit_ErrorHandler:
Exit Function
ErrorHandler:
MsgBox Err.Number & " " & Err.Description, vbInformation,
"www.paretoanalysts.com Fibonacci"
Resume Exit_ErrorHandler
End Function
Private Function Fib(ByVal N As Double) As Double
On Error GoTo ErrorHandler
'************************************************************************
**********************************
'
'Purpose: A Recursive Algorithm that creates the Fibonacci
numbers of a series.
'
'Argument(s): N - The number to start the Fibonacci series
with.
'
'Source: http://www.paretoanalysts.com
'
'Author: Pareto Analysts
'
'Creation Date: December 1, 2001
'
'Description: Creates the Nth member of a Fibonacci series.
'
'
'Return Value: The Nth. member of the Fibonacci series.
'
'Return Type: Double
'
'
'
'Warranty : No claim is made as to the accuracy or fitness of
this algorithm. The use of this
' algorithm is at your own risk and choice and the
author is not liable in anyway
' for its use or damages that may occur as a result of
its use.
'
'Copyright: The use or distribution of this algorithm is free
provided that it is
' used or distributed along with this header notice and
this header notice
' has not been modified in any way. If this algorithm
is used in a compiled form then
' the header notice must also be placed in a readme.txt
file
'
'Inquiries: Inquiries about this algorithm, data mining,
statistical analysis and data analysis
' can be directed to http://www.paretoanalysts.com
'
'************************************************************************
**********************************
If (N = 0) Or (N = 1) Then 'F(0)
and F(1) in a Fibonacci series are equal to 1
Fib = 1
Else
Fib = Fib(N - 1) + Fib(N - 2) 'F(N)
= F(N-1) + F(N-2)
End If
Exit_ErrorHandler:
Exit Function
ErrorHandler:
MsgBox Err.Number & " " & Err.Description, vbInformation,
"www.paretoanalysts.com Fibonacci.fib"
Resume Exit_ErrorHandler
End Function
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