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Computer Science II " Week 2O =u$CS 12: Intro. to Computer Science IIWagner Truppel Lecturer, Dept. of Computer Science & Engineering UC Riverside wagner@cs.ucr.edu http://www.cs.ucr.edu/~wagner http://www.cs.ucr.edu/cs12zO  ՔO`      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrsuvwxyz{|}~Քa~ՔH7$This Week s TopicsCVery brief review of CS 10 Variables Operators: Arithmetic, Logical Automatic type conversion Flow of control L-values and R-values Functions Call-by-value and call-by-reference Function overloading Introduction to Data Structures: Arrays Searching through an array Linear and Binary searches First look at Big-Oh notation ZsZ9ZCZ9ZZ s9!      8Review of CS 10Variables Operators: Arithmetic, Logical Automatic type conversion Flow of control L-values and R-values Functions Call-by-value Call-by-reference Function overloading.sZ5Zs5UE Variables (Variables are  containers for values Must be declared before they can be used Are type-specific: an int variable is not the same as a float variable, for example Values are stored in memory cells, occupying a machine dependent amount of bytes. Eg: typically, an int takes 4 bytes Examples: int n = 3; float radius = 0.54;Z%Z Z  uZei  PdVFOperators I: Arithmetic(Let you manipulate your variables Arithmetic operators things like +, -, *, /, ++, -- (a + 3)*(b++) n++ use n, then increment n by 1 ++n increment n by 1, then use n Say that a = b = 1. What are the values of (a + 3)*(b++) and b ? (a + 3)*(++b) and b ?*8ZZ-0 " dZ8    jYOperators I: Arithmetic(Watch out for integer division ! 3 / 6 evaluates to ZERO 3.0 / 6.0 evaluates to 0.5 3 / 6.0 evaluates to 0.5 auto conversion 3.0 / 6 evaluates to 0.5 auto conversion Same thing applies to integer variables (not just literals like 3 and 6)"ZZIZ"4 "WGOperators II: Logical(}Logical operators things like ==, !=, >, <, <=, >=, &&, || modern compilers let you write and for && and or for || Evaluate to a bool (true or false) 3 > 5 evaluates to false 3 != 5 evaluates to true x == 5 result depends on the value of x && (also and) is the AND operator (3 > 5) and (3 != 5) results in false || (also or) is the OR operator (3 > 5) or (3 != 5) results in trueZZ&Z Z$Z (              kZOperators II: Logical(Truth tables: Zl[Operators II: Logical(xShort-circuit evaluation When evaluating a and b and c and d, where a, b, c, d are boolean expressions, there s no need to continue evaluating when a false is encountered Eg: if c is false, then only a, b, and c are evaluated. d never gets to be evaluated. When evaluating a or b or c or d, where a, b, c, d are boolean expressions, there s no need to continue evaluating when a true is encountered Eg: if c is true, then only a, b, and c are evaluated. d never gets to be evaluated. The same applies for any number of sub-expressions (I used only 4 just as an example). ~Z"ZZH 'H nPR O Nm\Operators II: Logical(YShort-circuit evaluation Must be careful never to have a sub-expression whose evaluation changes something, because it may never be evaluated ! Eg: int x = 1; bool result = (x == 3) and (++x > 0); One might think that the value of x is changed, but it is not ! The sub-expression (++x > 0) was never evaluated because (x == 3) results in false.Z{Z1ZZf1#  >vgOperators II: Logical(pOrder of evaluation And is like multiplication, or is like addition: and has higher precedence and so is evaluated first 2 * 3 + 7 is not equal to 20; it s equal to 13 because the multiplication is evaluated first Likewise, in a and b or c, a and b is evaluated first, as in (a and b) or c Just as we can write 2 * (3 + 7) to force the addition to be evaluated first, we can also write a and (b or c) to force b or c to be evaluated first.ZZ     <  @ XHOperators III: Assignment$Assignment operator int z = 5; declares z, sets its value to 5 and then returns that value Thus, for eg, (z = 7) == 2 returns false Do not confuse == with = if (z = 3) { /* do something */ } is valid (z = 3) returns 3, which is interpreted as true, so the body of the if statement above will always execute. This is a very common mistake. only 0, 0.0, and null are interpreted as false^ZZZ  &    -  ,L!YIAutomatic conversion(If necessary, chars are converted to shorts, shorts to ints, ints to longs, longs to floats, and floats to doubles Example: char c =  Z ; double result = 1.9 * (c + 5); c is converted to an int, added to 5, the result is converted to a double and then multiplied by 1.9. The result is a double. This is an example of bad code, for at least two reasons. Can you guess them? Any non-zero numerical result appearing in a boolean expression is converted to true; 0 and 0.0 are converted to false H}ZZyZ     CP6| CZJFlow of control(Things like if, while, do, for if (boolean expression) { /* do something */ } if (boolean expression) { /* do something */ } else { /* do something different */ } while (boolean expression) { /* do something */ }`8 nA n n >$)T$[KFlow of control(do { /* something */ } while (boolean expression); for (initializations; conditions; modifiers) { /* do something */ } for (int i = 0; i < MAX; ++i) { cout << (2 * i) << endl; } Watch out for ; and , inside the () Use ++i rather than i++, unless otherwise necessaryXZ3 nZ-Z nZZ nZYZ-.  P Y ^n]Flow of control(Use standard conventions and the simplest code that gets the job done Bad example: double sum = 0; int i = 0; do { sum = sum + a[i]; i++; } while (i < length); Good example: double sum = 0.0; for (int i = 0; i < length; ++i) { sum += a[i]; }TZOZZDZ +OD,c`)\LL-values and R-values(>Suppose we have int x = 3; x == 5; // does this make sense ? P?Z +]ML-values and R-values(WSuppose we have int x = 3; x == 5; // does this make sense ? Yes x = 5; // and this ? rXZ D^NL-values and R-values(wSuppose we have int x = 3; x == 5; // does this make sense ? Yes x = 5; // and this ? Yes 8 == x; // how about this ? xZ d_OL-values and R-values(Suppose we have int x = 3; x == 5; // does this make sense ? Yes x = 5; // and this ? Yes 8 == x; // how about this ? Yes 8 = x; // and this ? Z }`PL-values and R-values(Suppose we have int x = 3; x == 5; // does this make sense ? Yes x = 5; // and this ? Yes 8 == x; // how about this ? Yes 8 = x; // and this ? No ! Why not ? Because 8 is a literal valueZ aQL-values and R-values(8 = x; // illegal ! You can t assign values to a literal value Literal values are not L-values - you cannot have them on the left side of an assignment Values that can be on the left side are called L-values, those which can be on the right side are called R-values. The distinction is important when you consider functions and their return values (more on this later in the course).Z ?# wbR Functions I ( main() Every program must have one It s the entry point of execution of your program Must return an integer int main() Should return 0 if no problems are encountered Traditionally returns an error code if problems are encountered ZZ <`ovcS Functions II (// function declarations void drawMonster(int monster_id, int x, int y) void moveMonster(int monster_id, int dx, int dy) // function definition int max(int a, int b) { if (a > b) return a; else return b; } // function call int z = max(r, s); drawMonster(troll, 25, 17);Z nZ  uZ  Z uZ  Z nZ@Za     /    @ dT Functions III(Call by value The value of the argument is copied into a local variable inside the function void f(int x, float v) Call by reference The address in memory of the argument is passed to the function Lets you change the value of what s being passed to the function, from inside the function void f(int & x, float & v) & means  address of f+  ,c&p`A puzzle& _How do you swap two integer variables ? The integers are stored in two variables, say, x and yR`<qbNo problem, right ??We could write this: void swap(int x, int y) { x = y; y = x; }bZZZZ, rc"A similar puzzle& GSay you have a wine-glass full of beer and a beer-mug full of red wine.HZHse"A similar puzzle& GSay you have a wine-glass full of beer and a beer-mug full of red wine.HZHufNo problem, right ?UWe could then write this: void swap(int x, int y) { int temp = x; x = y; y = temp; }bZZZZ>%whCall by reference(RWe must write this: void swap(int & x, int & y) { int temp = x; x = y; y = temp; }ZZZZ >hXFunction overloading(Signature of a function Name of the function Number of arguments Types of those arguments Order of those arguments The signature of a function includes neither the function s return type nor the names of the params It s ok to define many functions with the same name, as long as they have different signatures: Examples: void swap(int & x, int & y) void swap(char & x, char & y) void swap(float & x, float & y) void swap(double & x, double & y) This gets boring, is error-prone, and duplicates code& Is there a way to define a single swap function that applies to every type ? Yes ! That s done with Templates. We ll meet them later in the course.nZ[ZZZZ   %T     x '>u4yjIntro to Data Structures>The  bookstore example How do you find the book you re looking for ? You need to use some kind of strategy and& & of course, we want the best strategy possible, but& & what  best means will depend on how the books are organized (stored). In CS, these strategies are called algorithms.vZZ/Z    zkMessyBookPile, Inc. TThis bookstore keeps its books all in one big pile, with no organization of any kindUU{lLongBookShelf, Inc.  |mLongBookShelf, Inc.  }nLongBookShelf, Inc.  ~oLongBookShelf, Inc.  pLongBookShelf, Inc.  qLongBookShelf, Inc.  rLongBookShelf, Inc.  sLongBookShelf, Inc.  tLongBookShelf, Inc.  uLongBookShelf, Inc.  vLongBookShelf, Inc.  wLongBookShelf, Inc.  xLongBookShelf, Inc.  yLongBookShelf, Inc.  zLongBookShelf, Inc.  {LongBookShelf, Inc.  |LongBookShelf, Inc.  Bottom line& Data structures are  containers for the data your program manipulates, much like built-in data types (int, float, etc), but more powerful The choice and efficiency of an algorithm depends on how the data it accesses is organized Likewise, how you re going to store your data depends on what you want to do with it. All data structures have a natural set of operations that can be applied to it Data access (retrieving, setting, removing) Searching Each data structure implements these operations differently and, thus, have different efficiencies Big-Oh notation  measures that efficiency O(n) is slower than O(log2 n)Z6ZZZP6 g/PasxHH@Rg(HH(dh   ` www3ff` 3fff` ___>?" dF@,?n<d@uA @ " d`  n?" dd@   @@``PR   @ ` `P0p>> -,1.2.1 2003 WL Truppel TCS 12: Intro. Computer Science II " Week 2  V( = 2  N0?"! :    N0gֳgֳ ?"  T Click to edit Master title style! !<  H 0gֳgֳ ?"0  RClick to edit Master text styles Second level Third level Fourth level Fifth level!     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V(  x  c $"     S p#<$< p H  0޽h ? www3ff   JBp ( >   c $$  pPH___PPT2001$ ,  T gֳgֳ ? $ pPH___PPT2001$ j   Hgֳgֳ ?  $DPH___PPT2001$ f But it does not work ! Why not ?*! H  0޽h ? www3ff    `5( 00// x  c $@     S p<$< p X  C Afig1.pdf 00132CB4Earth B9B583FF:`,$D,X  C A drinking.gif 00173889Earth B9B583FF:P Pp ,$D,  Hકgֳgֳ ? ,$, kWNow suppose that you want to swap the contents of the two containers. How do you do it?H  0޽h ? www3ffV   P~( `   c $$  pPH___PPT2001$   S  p$ pPH___PPT2001$   H`gֳgֳ ? $PH___PPT2001$ tNow suppose that you want to swap the contents of the two containers. How do you do it? You need another container !  C A fig1b.pdf 00132CB4Earth B9B583FF:` $PH___PPT2001$H  0޽h ? www3fft    @( 00// x  c $@     S ୕ <$< p <  H gֳgֳ ?  ,$D, JBut it still doesn t work ! Why not ?*&X  C A nelson.gif 00173889Earth B9B583FF:@,$D,  H`gֳgֳ ? 0,$D, fInside the function body, x and y are local variables whose initial values are copies of the argumentslg$H  0޽h ? www3ff.   0V(  *   c $`$  pPH___PPT2001$   S  $ pPH___PPT2001$   H gֳgֳ ? 0$DPH___PPT2001$ 6Now it does work! Inside the function body, x and y are not local variables; they represent the actual arguments When the function exits (returns), x and y have their values exchanged We ll see in detail how call by reference is accomplished when we study activation frames next weekZ!Y5 H  0޽h ? www3ffP    ~( ?   s *P""     c $!"@`<$< p B  s *޽h ? 33̙ffV   (    s *"     s *P"0@<$< p B  s *޽h ? 33̙ff<   j( L   s *"<$D <  p   c $p"<$< p r  H0gֳgֳ ?"@,$, VYour algorithm is then: For each book If it is not the book I want, continue searchingFZZ1Z1  Hgֳgֳ ?" 0,$, If the bookstore has 1,000,000 books, and if it takes 10 secs for you to check each book, it may take you as long as 4 months to find the book you want Not a very good algorithm, is it ? Note: search time is directly proportional to number of books: O(n)Z8>;8X  C Afig1.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X  C A fig1a.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X  C A fig1a.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X   C A fig1b.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X   C A  fig1c.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X   C A  fig1d.pdf 0015F9D6Earth B9B583FF: 0 ,$D ,X   C A  fig1e.pdf 0015F9D6Earth B9B583FF: 0 ,$D ,X   C A  fig1f.pdf 0015F9D6Earth B9B583FF: 0 ,$D ,X  C A  fig1g.pdf 0015F9D6Earth B9B583FF: 0 ,$D ,X  C A fig1h.pdf 0015F9D6Earth B9B583FF: 0 ,$D ,X  C A fig1i.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X  C A fig1j.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X  C A fig1k.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X  C A fig1l.pdf 0015F9D6Earth B9B583FF: 0 ,$D,X  C A fig1a.pdf 0015F9D6Earth B9B583FF: 0 ,$D,B  s *޽h ? 33̙ff   "( L   s *"<$D <  p `  Hgֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?X  C Afig2.pdf 002E4D4AEarth B9B583FF:P0,$D,B  s *޽h ? 33̙ff+   Y( L   s *"<$<  p `  H gֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?  Hgֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X  C A fig2a.pdf 002E4D4AEarth B9B583FF:P0,$,B  s *޽h ? 33̙ff+   Y( L   s * "<$<  p `  Hgֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?  Hःgֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X  C A fig2b.pdf 002E4D4AEarth B9B583FF:P0,$,B  s *޽h ? 33̙ff+    Y(      s *"<$<  p `   Hࡃgֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?   H@gֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X   C A fig2c.pdf 002E4D4AEarth B9B583FF:P0,$,B   s *޽h ? 33̙ff+   Y(    s *"<$<  p `  H@gֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?  Hgֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X  C A fig2d.pdf 002E4D4AEarth B9B583FF:P0,$,B  s *޽h ? 33̙ff+   Y(    s *,"<$<  p `  Hgֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?  H@gֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X  C A fig2e.pdf 002E4D4AEarth B9B583FF:P0,$,B  s *޽h ? 33̙ff+   Y(    s *)"<$<  p `  HP*gֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?  H*gֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X  C A fig2f.pdf 002E4D4AEarth B9B583FF:P0,$,B  s *޽h ? 33̙ff+   Y( ?   s *P'"<$<  p `  H'gֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?  H(gֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X  C A fig2g.pdf 002E4D4AEarth B9B583FF:P0,$,B  s *޽h ? 33̙ff+   p Y(      s *$"<$<  p `   H%gֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U?   Hp%gֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X   C A fig2h.pdf 002E4D4AEarth B9B583FF:P0,$,B   s *޽h ? 33̙ff+   `$Y( t $ $ s *!"<$<  p ` $ H"gֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U? $ Hp"gֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1X $ C A fig2i.pdf 002E4D4AEarth B9B583FF:P0,$,B $ s *޽h ? 33̙ff#    P(Q( t ( ( s *P*"<$<  p ` ( H*gֳgֳ ?",$, TThis competitor bookstore keeps its books all in one very long array, sorted by ISBN6U? ( H*gֳgֳ ?"0 ,$, mOne possible algorithm is again linear search: For each book If it is not the book I want, continue searchingV/1  1 ( H)gֳgֳ ?" ,$, 6This is the same algorithm used by MessyBookPile,Inc. Again& search time is directly proportional to number of books: O(n) Note that the algorithm did not make use of the fact that the books are sorteddw0"X ( C A fig2j.pdf 002E4D4AEarth B9B583FF:P0,$,B ( s *޽h ? 33̙ff    @,9( t , , s *+"<$<  p  , H@+gֳgֳ ?" ,$, '?Another possible algorithm is binary search: Look at the middle book If it is the book I want, stop If the book I want comes before the middle book, search the first half of the array using this same algorithm If the book I want comes after the middle book, search the second half of the array using this same algorithm- 8 A 'X , C A fig3a.pdf 002E4D4AEarth B9B583FF:P0,$,B , s *޽h ? 33̙ff    009( t 0 0 s *+"<$<  p  0 H`+gֳgֳ ?" ,$, '?Another possible algorithm is binary search: Look at the middle book If it is the book I want, stop If the book I want comes before the middle book, search the first half of the array using this same algorithm If the book I want comes after the middle book, search the second half of the array using this same algorithm- 8 A 'X 0 C A fig3b.pdf 002E4D4AEarth B9B583FF:P0,$,B 0 s *޽h ? 33̙ff     49(  4 4 s *+"<$<  p  4 H@+gֳgֳ ?" ,$, '?Another possible algorithm is binary search: Look at the middle book If it is the book I want, stop If the book I want comes before the middle book, search the first half of the array using this same algorithm If the book I want comes after the middle book, search the second half of the array using this same algorithm- 8 A 'X 4 C A  fig3c.pdf 002E4D4AEarth B9B583FF:P0,$,B 4 s *޽h ? 33̙ff    89(  8 8 s * 8"<$<  p  8 H8gֳgֳ ?" ,$, '?Another possible algorithm is binary search: Look at the middle book If it is the book I want, stop If the book I want comes before the middle book, search the first half of the array using this same algorithm If the book I want comes after the middle book, search the second half of the array using this same algorithm- 8 A 'X 8 C A! fig3d.pdf 002E4D4AEarth B9B583FF:P0,$,B 8 s *޽h ? 33̙ff      <( > < < s *O"<$<  p  < HPOgֳgֳ ?" ,$, '?Another possible algorithm is binary search: Look at the middle book If it is the book I want, stop If the book I want comes before the middle book, search the first half of the array using this same algorithm If the book I want comes after the middle book, search the second half of the array using this same algorithm- 8 A 'r < H`8gֳgֳ ?"` 0,$, This does make use of the fact that the books are sorted Note: recursive algorithm ! (we ll study recursion soon) Now& search time is proportional to the logarithm of the number of books: O(log2 n) 1,000,000 books, 10 secs/book = ? 0]  " X < C A" fig3e.pdf 002E4D4AEarth B9B583FF:P0,$,B < s *޽h ? 33̙ff5      `@c ( > @ @ s *!"<$<  p  @ HpOgֳgֳ ?" ,$, '?Another possible algorithm is binary search: Look at the middle book If it is the book I want, stop If the book I want comes before the middle book, search the first half of the array using this same algorithm If the book I want comes after the middle book, search the second half of the array using this same algorithm- 8 A '" @ HЄOgֳgֳ ?"` 0,$, hHThis does make use of the fact that the books are sorted Note: recursive algorithm ! (we ll study recursion soon) Now& search time is proportional to the logarithm of the number of books: O(log2 n) 1,000,000 books, 10 secs/book = 200 s < 4 min !!! 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Bottom line  Fonts UsedDesign Template Slide Titles4 8@ _PID_HLINKS'AHmailto:Wagner@cs.ucr.eduhttp://www.cs.ucr.edu/~wagnerhttp://www.cs.ucr.edu/cs12&_9Wagner TruppelRdO)[ڏPictures7PowerPoint Document(:SummaryInformation(4      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrsuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghiklmnopqrstuvwxyz{|}~  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxz{|}~DocumentSummaryInformation8|Current User".  !rhttp://www.cs.ucr.edu/cs12&_9Wagner Truppel