CS304: Lecture 3

1
CS304 Lecture 3

• Functions, Recursion, Arrays and Vectors
• Deitel, Ch. 6 and 7
• http//www.cis.uab.edu/cs304

2
Things I Wont Cover That You Should Know!TM

• Recursion! Didnt you do this in CS302?
• Read 6.19-6.21, please!

3
A Clarifying Note on Definitions

• Implementations of a function require variable
  names in the argument list Prototypes do not!
  Why?
• class test int method1(int)int
  method2(string, int)
• int testmethod1(int intname)
• int testmethod2(string stringname, int intname)
  

4
More on Prototypes

• Prototype Interface Definition
• Formal parameters in the prototype must conform
  to the function signature (i.e. types must
  match), but names of parameters are of no
  importance

5
Divide and Conquer

• Ideal way to construct large programs
• Manageability
• Simplicity
• Accomplished in many ways in C
• Functions
• Classes
• Libraries
• STL

6
Prepackaged Functions

• Many common functions are provided for you
• Math
• String Parsing
• Time
• Containers
• Vector
• List
• Queue
• Algorithms

7
Math

• include ltcmathgt
• All functions are global
• Most functions take doubles as arguments
• See page 242 for a list of common functions

8
ltcmathgt functions

• ceil(x) rounds x to the smallest integer not less
  than x
• exp(x) exponential function ex
• fabs(x) absolute value of x
• floor(x) rounds x to the largest integer not
  greater than x
• fmod(x, y) remainder of x/y as a floating-point
  number
• log(x) natural logarithm of x (base e)
• log10(x) logarithm of x (base 10)
• pow(x, y) x raised to the power of y
• Complex numbers, too!

9
We cant do math with floats? Or ints?

• Argument Coercion can adapt the math functions to
  our uses.
• This happens (largely) behind the scenes and
  automatically
• Square (4.5) 16
• Data could be lost in the conversion
• E.g., long to int, double to int.
• Promotion rules should be followed
• Hierarchy of data types (pp. 250)
• Explicit override can be given by casting
• Also applies to mixed-type expressions

10
Other Header Files

• ltiostreamgt Standard I/O
• ltiomanipgt Functions for stream manipulation
• ltcmathgt Math functions
• ltcstdlibgt Mishmash! String/number conversion,
  memory allocation, random numbers, etc.
• ltctimegt Time functions
• ltvectorgt, ltlistgt, ltdequegt, ltqueuegt, ltstackgt,
  ltmapgt, ltsetgt, ltbitsetgt Standard Template
  Library ADTs
• ltcctypegt Character functions (upper-lower
  conversion, type tests)
• ltcstringgt Contains C-style string processing
  functions
• ltexceptiongt, ltstdexceptgt Exception handling
  classes
• ltfstreamgt Functions for file I/O
• ltstringgt Contains C string class from STL
• See page 251 for a list of common functions

11
Generate a Random Number Using the Standard
Library

• include ltiostreamgt
• include ltcstdlibgt
• include ltctimegt
• using namespace std
• int main()
• unsigned int seed
• cout ltlt "Enter seed, or 0 for time "
• cin gtgt seed
• srand((seed 0)?time(0)seed)
• cout ltlt "Your random number is " ltlt rand() ltlt
  endl
• return 0

12
Want to generate specific numbers?

• Within a range, between at least start and less
  than end
• int number rand()(end-start)start

Only works for integers!!
Scaling Factor
Shifting Factor
Question given a random float number generator,
how to generate a float within a range?
13
The Enum Datatype

• Have you ever done this?
• int first 0, second 1, third 2, nth
  n-1
• int Sunday 0, Monday 1, , Saturday 6
• Use this instead!
• enum Numbers FIRST, SECOND, THIRD, , NTH
• enum Days SUNDAY, MONDAY, TUESDAY, WEDNESDAY,
  THURSDAY, FRIDAY, SATURDAY
• This creates a datatype called (Numbers or Days)
  that can hold one of the values contained (i.e.
  FIRST, SECOND, MONDAY, etc. where appropriate).
  This is NOT a class.
• See Section 6.8 for this applied

14
Storage Classes

• Storage classes are modifiers that change how the
  memory associated with the variable behaves
  within a function
• There are five storage classes (auto, register,
  extern, mutable, static), but we will discuss
  three
• auto Allocate the variable when it is declared,
  deallocate it when it is no longer in scope.
  This applies to local variables.
• register Used with an automatic variable to
  suggest to the compiler that this variable be
  kept in a hardware register
• static Used with global variables
  (automatically) or local variables (explicit).
  This causes a variable to retain its value
  throughout the execution of the program.

Please read Section 6.9 for details!
15
Scope

• Scope refers to where in a program a variable is
  usable.
• Alive ! usable e.g., you cannot use a static
  variable defined inside of a function outside of
  the function scope.
• Six types of scopes Function, File, Block,
  Function-Prototype, Class, and Namespace
• File scope A static variable declared outside
  of any class or function (or is a function!)
• Function scope Known throughout a function, no
  matter where declared (labels!)
• Block scope A variable declared within
• Careful about hiding other variables!
• Function-Prototype scope Variables declared
  within the parameter list
• See Fig. 6.12 for a scope example

16
Function Calls in C

• The C runtime environment can be described as a
  stack LIFO structure.
• Each function call is represented by an
  activation record
• Each record holds all information needed for that
  particular instance of the function
• Each time the function gets called, a new
  activation record is added

17
Activation Records Example On Board

• include ltiostreamgt
• using namespace std
• int square (int)
• int main() int a 10cout ltlt a ltlt squared
  ltlt square( a ) ltlt endlreturn 0
• int square(int x) return x x

Read 6.11 for details, nice figure!
18
Inline functions

• Function calls are slow!
• the call stack
• Function calls are good!
• e.g., reusable
• Inline function calls are fast and good!
• Acts as advice to the compiler to insert the
  body of the function directly

19
Cube function

• inline double cube (const double side) return
  side side side
• int main() cout ltlt cube(3.0) ltlt endl
• cout ltlt cube(4.0) ltlt endlreturn 0

20
Turns to

• int main () cout ltlt 3.0 3.0 3.0 ltlt
  endlcout ltlt 4.0 4.0 4.0 ltlt endlreturn 0

21
Reference Parameters

• From our discussion of activation records, you
  know that copies occur when parameters are passed
  (a new local copy is created).
• What if we want to make changes to the parameter
  within the function call and keep the change
  after leaving the function?
• What if we dont want to copy whole structures?
• Passing classes?

22
Passing an Argument by Reference

• Pass by value int funcall(int arg1)
• Pass by reference int funcall(int arg1)
• reference (or address-of) operator
• This requires no change to the body of the
  function!
• Use const modifier to prevent changes to the
  structure
• Why would we want to do this?
• References are first-class datatypes, and can be
  used everywhere in a program

23
Reference Example

• void makesquared (int num) num num
• int main() int num 3makesquarednum(num)cou
  t ltlt num // output 3return 0

24
Reference Example

• void makesquared (int num) num num
• int main() int num 3makesquarednum(num)cou
  t ltlt num // output 9return 0

25
Remember what Java does?

• Always pass-by-reference for Classes
• Always pass-by-value for primitive types, e.g.,
  int
• What if we want to pass two int values to a
  function and keep the changes after the function
  call is finished?

26
Default arguments

• Specify a default argument this way
• int myfun(int x 0, int y 1, int z 2)
• Arguments that have a default should be rightmost
• Must have it make sense! (No ambiguity!)
• This is done in one place, typically the prototype

27
Overloading Functions

• Specify different arguments (without conflicts,
  of course).
• int sqrt(int x)
• float sqrt(float x)
• double sqrt(double x)
• string sqrt(string x)
• int sqrt()
• What is different arguments?
• Number of parameters
• Type of each parameter
• Order of the parameters

? How about float sqrt()
28
Templates

• Hate overloading every function for every
  argument?
• Generalize! Templates allow everything that
  makes sense (more on this later in the course)
• Our square root function written using templates
• templatelt class T gt
• T sqrt(T value)
• // Do some fancy calculations return answer

29

• Arrays and Vectors
• Chapter 7

30
Introduction

• Data Structures
• Collections of related data items
• Comparison between arrays and linked list
• The Simplest Data Structure The Array
• A consecutive group of memory locations that all
  have the same type
• Size is static from compile time
• Can be used as another kind of string
• The STLs Take The Vector
• Completely Dynamic (Resizable)
• Has all the advantages of the STL (e.g.,
  object-oriented, templated, availability of
  pre-programmed algorithms)

31
Arrays

• Zero-indexed
• An array with n elements is addressed as a0,
  a1, a2, , an-1, using only integers
• Why? Memory offset (brief notes on pointers,
  much more next week)
• A subscripted element is an l-value (can be
  assigned to)

32
Declaration of Arrays

• Declaring an array allocates a swath of memory
  equal to the size of the datatype times the
  number requested. No more, no less.
• type arrayName arraySize
• The type can be a primitive datatype, struct, or
  class
• arraySize must be an integer constant greater
  than zero
• Integer values 1, 2, 3
• variables declared as const int const int a
  10
• Const variables read-only, must be initialized
• Javas equivalent to this? static final double PI
  3.141592653589793
• Defined constants define x 30

Negative values? Compiler error 0? OK but useless
33
The Static Array

• static int array100
• for (int n 0 n lt 100 n)
• cout ltlt arrayn
• //We have 0000000000000000000
• Its entries behave as static variables should

34
Array initialization

• Only static arrays are automatically initialized
  to zero when you declare it, non-static are not.
• Using a loop to initialize an array
• Using initializer list
• int n2 1, 2 // Size of initializers
• int n1 1, 2 // Size lt of initializers
• Compilation error
• int n3 1, 2 // Size gt of initializers
• N2 is set to 0 automatically
• int n2 // no initializer
• All elements are initialized to 0
• Different with int n2 no initialization unless
  its a static array
• int n 1, 2 // no array size
• size of initializers
• int n // no initializer and no array size
• OK, but nonsense.

35
Using an Array

• To take from this Always initialize!
• int main()
• int n10
• for (int i 0 i lt 10 i)
• ni 0
• cout ltlt Array initialized!\n
• return 0

36
More Initialization Options

• You can use an initializer list!
• int main()
• int n 0,1,2,3,4,5,6,7,8,9
• // This declared n10 for you
• for (int i 0 i lt 10 i)
• cout ltlt ni ltlt ltlt endl
• //output will be 0 1 2 3 4etc.
• return 0

37
Even More!

• Initialize everything to one value
• int main()
• int n10 0
• for (int i 0 i lt 10 i)
• cout ltlt ni ltlt
• //should output 0 0 0 0 0 etc.
• return 0

38
Fibonacci Sequence!

• int main()
• int array50
• array0 array1 1
• cout ltlt Fibonacci Numbers 1-50\n
• for (int n 0 n lt 50 n)
• arrayn arrayn-1arrayn-2
• cout ltlt n ltlt \t ltlt arrayn ltlt endl
• return 0

39
Char Arrays as Strings

• Im sure were all familiar with null-terminated
  strings, correct?
• \0 null character, int(\0) 0 (ASCII code)
• char string1 f,i,r,s,t,\0)
• char string1 first
• cin and cout will use these char arrays as
  strings just like a string object
• Why? C didnt have string classes (or classes at
  all), so they had to do text processing somehow.
  See ltcstringgt, or ltstring.hgt

40
Print out the ASC II code

• include ltiostreamgt
• using namespace std
• int main()
• char a "first"
• for (int i 0 ilt 6 i) cout ltlt (int)ai
  ltlt endl
• return 0

41
Passing Arrays Via Function Calls

• int sum(int array, int size)
• int sum
• for (int n 0 n lt size n)
• sum arrayn
• return num
• int main()
• array20
• // Fill the array here
• cout ltlt The sum of the entries ltlt
• sum(array, 20) ltlt endl
• return 0

42
Multidimensional Arrays

• int a100200
• Think of this as an array of arrays (Obligatory
  bad drawing on board goes here)
• An m x n array has m rows, and n columns. It is
  declared as arraymn.

43
(No Transcript)
44
What are the Arrays Limitations?

• We cant meaningfully compare two arrays for
  equality
• We cant assign one array to another, but must
  manually iterate over elements (if they are even
  the same size!)
• Array names are simply const pointers!
• Statically allocated, so it cant grow with the
  data
• From the array itself, we dont know its size
  It has to be tracked by the programmer

45
Vectors let us do nice things

• Dynamic!!
• Two ways to declare a vector
• vector lt type gt nameofvector
• Allocates a zero-element vector
• vector lt type gt nameofvector(size)
• Gives a preallocated number of elements
• Several member functions
• Nameofvector.size() returns the number of
  elements
• Nameofvector.push_back(data) creates a new
  element at the end of the current vector
• Nameofvector.pop_back() removes the last element
• These can be indexed like a normal array
• But only if the element being indexed is
  pre-allocated or put onto the vector