From da879e6fb0e3cd7b63d5280a2899b7bb1317ad42 Mon Sep 17 00:00:00 2001 From: Brett Langdon Date: Sat, 7 Jul 2012 21:42:09 -0400 Subject: [PATCH] Started section on Recursive functions, needs more work --- .../1.3 - Functions.tex | 31 ++++++++++++++++++ Programming In General.pdf | Bin 262245 -> 265434 bytes Programming In General.tex | 20 ++++++----- 3 files changed, 43 insertions(+), 8 deletions(-) diff --git a/3 - Functional Programming/1.3 - Functions.tex b/3 - Functional Programming/1.3 - Functions.tex index 35ed58b..a129456 100644 --- a/3 - Functional Programming/1.3 - Functions.tex +++ b/3 - Functional Programming/1.3 - Functions.tex @@ -204,4 +204,35 @@ print SayHello( 3 ) This example will output the exact same as above but it only uses a single Return statement. \subsection{Recursion} +Recursion, now this section is going to be FUN! +Please take your time reading through this chapter as it is very easy to get confused by Recursive Functions and can be difficult to wrap +your head around the first time through (I know I had issues when I first learned it). +Basically what it means for a Function to be recursive is when it makes a call to itself from within it's own code block. +The example we are going to be using is a recursive Function used calculate the factorial of a number. +The factorial of the number 6, denoted 6!, is 6 x 5 x 4 x 3 x 2 x 1 = 720. +Lets look at how this would look as a recursive Function. + +\begin{lstlisting}[caption={Recursive Factorial}] +def Factorial( num ): + if num < 1: + return 1 + else: + return num * Factorial( num - 1 ) + +print ``6! = `` + Factorial( 6 ) +\end{lstlisting} + +There are a few parts of a Recursive Function that we need to mention before diving deeping. +First off we have the actual Recursive call which is when the Function calls it's, in this Function it is +the code \pigVar{Factorial ( num - 1 )}. +Secondly, and probably the most important part, is the Base Case:\\ +\pigVar{if num < 1: + return 1}\\ +The base case tells the Function when to stop calling itself recursively, otherwise the Function will call itself +infinitely and cause an infinite loop and could crash the program. +\par +It might not be clear to some exactly how this Function is working, how is it getting the right value back out into +the program? +Well, lets do what we can to break down the Function call \pigVar{Factorial( 6 )} down to see exactly how the program +interprets this Function. diff --git a/Programming In General.pdf b/Programming In General.pdf index f315b711a3696f7322a166aec29608ae6655c2ed..042e865eea209ae17dd0d48c497fae19b47c4a94 100644 GIT binary patch delta 87206 zcmXWBV{j!**R~y-6FU>zwr$(Co$T1j#I~IYCbn(cw!OdWx!>4Fu>_GA)E0VB*G3shCvrOek(96BL?EUL|5=I5|&nN+m>|Y7a)F^%g-J zI`v|z=b(BPQdI;c1W8o;5g*@{aj`MS0xcv*jEBx$xlCGK$EdIm!cY}JT3Obg%6Q~>8&BK zsLsK#;B6zTscW&WnwKSFX}Ohq328uz9rJcpwcf!LBj{4_8vPO@)fT21T07gpFd5@_ zf|OufIZ5$aD@j&tkaB$z^2=@cBL+#de}IZDAq+u-ru+M7`0R)?XD^f?9aI(+EqNOX 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http://creativecommons.org/licenses/by-sa/ \input{"./6 - Data Structures/Data Structures"} \vfill \pagebreak +\section{Big O Notation} +\input{"./6 - Data Structures/1.1 - Big O Notation"} +\vfill +\pagebreak \section{Linked Lists} -\input{"./6 - Data Structures/1.1 - Linked Lists"} +\input{"./6 - Data Structures/1.2 - Linked Lists"} \vfill \pagebreak \section{Doubly Linked Lists} -\input{"./6 - Data Structures/1.2 - Doubly Linked Lists"} +\input{"./6 - Data Structures/1.3 - Doubly Linked Lists"} \vfill \pagebreak \section{Stacks} -\input{"./6 - Data Structures/1.3 - Stacks"} +\input{"./6 - Data Structures/1.4 - Stacks"} \vfill \pagebreak \section{Queues} -\input{"./6 - Data Structures/1.4 - Queues"} +\input{"./6 - Data Structures/1.5 - Queues"} \vfill \pagebreak \section{Hash Maps} -\input{"./6 - Data Structures/1.5 - Hash Maps"} +\input{"./6 - Data Structures/1.6 - Hash Maps"} \vfill \pagebreak \section{Binary Trees} -\input{"./6 - Data Structures/1.6 - Binary Trees"} +\input{"./6 - Data Structures/1.7 - Binary Trees"} \vfill \pagebreak \section{B-Trees} -\input{"./6 - Data Structures/1.7 - B-Trees"} +\input{"./6 - Data Structures/1.8 - B-Trees"} \vfill \pagebreak \section{B+ Trees} -\input{"./6 - Data Structures/1.8 - B+ Trees"} +\input{"./6 - Data Structures/1.9 - B+ Trees"} \vfill \pagebreak \chapter{Algorithms}