# Outline. Conditional Statements. Logical Data in C. Logical Expressions. Relational Examples. Relational Operators

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1 Conditional Statements For computer to make decisions, must be able to test CONDITIONS IF it is raining THEN I will not go outside IF Count is not zero THEN the Average is Sum divided by Count Conditions specified using logical data Outline II. Program Basics G. s 3. Binary operators relational operators ==!= < > <= >= logical operators &&! 7. Logical data H. Statements 3. If 4. If-Else matching 5. Switch default break Logical Data in C no explicit logical type int and char values can be treated as logical values two possible logical values 0 or \0 - anything - specific operators produce logical values Logical s Relational operators: operators to compare two values syntax: expr1 relop expr2 expressions must be of same type (any) Logical operators: operators to logically combine logical values produce complex combinations of conditions operators apply to logical values Relational Operators Relational Examples Operator X == Y X!= Y X < Y X > Y X <= Y X >= Y Meaning X equal to Y X not equal to Y X less than Y X greater than Y X less than or equal to Y X greater than or equal to Y A: 4 B: 3 C: 2.5 A < B 0 () A < B 1 () When chars compared, ASCII codes compared A!= a 1 () Note, expressions must be of same type But, implicit conversions will be done B > C 1 (), B converted to float 1

2 Combined s Complex combinations of operations can be used: 4 < < 5 1 () Why isn t expression evaluated as (4 < 3) + 2? Relational operators have lower precedence than arithmetic operators, higher than assignment Have left-associativity Operator Precedence > < >= <= 10 =!= 9 Complex Example 10 % 4 * 3-8 <= / * 3-8 <= / <= / <= <= <= <= 5 1 () Logical Operators Simple (relational) logical expressions or depending on values compared Compound logical expressions built out of logical combinations of simple expressions Examples: I am standing in a lecture hall AND the moon is made of green cheese is, but I am standing in a lecture hall OR the moon is made of green cheese is Logical Syntax: LogExpr1 LogicalOp LogExpr2 (&& ) LogicalOp LogExpr (!) (2 < 3) && (17!= 29) /* && - AND */ 1 && 1 /* AND */ 1 /* */ AND (&&) and OR ( ) AND (&&) of two logical expressions: resulting compound expression when both expressions OR ( ) of two logical expressions: expression when either expression Truth table: E1 E2 E1 && E2 E1 E2 1 () 1 () 1 () 1 () 1 () 0 () 0 () 1 () 0 () 1 () 0 () 1 () 0 () 0 () 0 () 0 () Logical Examples month is 2, year is 1999 (month == 2) && ((year % 4) == 0) 1 () && ((year % 4) == 0) 1 && ( 3 == 0) 1 && 0 () 0 () day is 6 (day == 0) (day == 6) 0 () (day == 6) 0 1 () 1 () 2

3 Short-Circuit Aspect && and are short-circuit operators - if the first operand determines the value, the second operand is not evaluated first operand of && is 0, result is 0 without evaluating second operand first operand of is 1, result is 1 without evaluating second operand second operand evaluated when needed Negation Arithmetic negation: - ( 4 * A * C ) Operator minus (-) negates numeric value Logical negation Logical operator (!) negates logical value E! E 1 () 0 () 0 () 1 () Example:! (3 > 4)! 0 () 1 () Complex s s can be built using arithmetic, relational and logical operators!((-5 >= -6.2) (7!= 3) && (6 == (3 + 3))) operator precedence, associativity + - (unary)! & * 15 right (typename) 14 right * / % 13 left + - (binary) 12 left < > <= >= 10 left ==!= 9 left && 5 left 4 left assignments 2 right Example!((-5 >= -6.2) (7!= 3) && (6 == (3 + 3)))!( 1 () (7!= 3) && (6 == (3 + 3)))!( 1 1 () && (6 == (3 + 3)))!( 1 1 && (6 == 6 ))!( 1 1 && 1 () )!( 1 1 () )! 1 () 0 () Decision Making Problem: input two numbers and store the largest in Big Num1: 17 Num2: 53 Big: 53 Algorithm 1. Input Num1 and Num2 2. Store largest of Num1 and Num2 in Big 2.1 Store Num1 in Big 2.2 IF Num2 > Num1 THEN store Num2 in Big IF Statement Syntax: if (LogicalExpr) Statement Program context: 1; if (LogicalExpr) 2; 3; Order of execution: LogicalExpr 1 () 0 ()

4 Flow of Execution Flow Chart for our Problem 1 input Num1 input Num2 Logical 2 Store Num1 in Big Num2 > Num1 Store Num2 in Big 3 Code for Solution int findmax(int Num1, int Num2) { int Big; Big = Num1; if (Num2 > Num1) Big = Num2; return Big; Trace of Solution Trace of findmax(17,53): Num1 Num2 Big 17 53? Big = Num1; 17 if (Num2 > Num1) Big = Num2; 53 return Big; Trace of Solution Trace of findmax(9,6): Executing > 1 Statement in an If What if you want to execute > 1 stmt in If? Num1 Num2 Big 9 6? Big = Num1; 9 if (Num2 > Num1) return Big; 1 Logical

5 Does this work? Statement1; If (LogicalExpr) Statement2; Statement3; Statement4; Statement5; > 1 Stmt in an If No, the indenting is irrelevant, section P is: If (LogicalExpr) Statement2; Statement3; Statement4; P > 1 Stmt in an If (A solution) Solution - use a compound : Statement1; If (LogicalExpr) { Statement2; Statement3; Statement4; Statement5; Statement in If Any reasonable as the single in if expression assignment function call (printf, scanf, etc.) compound if Two-Way Selection Sometimes desirable for to be executed when Logical 3 1 Logical 2 4 Two-Way Selection with If Possible to use combinations of if: Statement1; if (LogicalExpr) Statement2; if (!(LogicalExpr)) Statement3; Statement4; But not efficient 1 Logical! Logical Syntax: if (LogicalExpr) StatementA StatementB B If-Else Statement Logical A 5

6 FindMax with If-Else int findmax(int Num1, int Num2) { int Big; Big = Num1; /* 1 assign + */ if (Num2 > Num1) Big = Num2; /* 1 test + */ return Big; /* maybe 1 assign */ /* test plus 1 or 2 assigns */ int findmax(int Num1, int Num2) { int Big; if (Num2 > Num1) /* 1 test + */ Big = Num2; /* 1 assign or */ Big = Num1; /* 1 assign */ return Big; /* test plus 1 assign */ Using If-Else for Robustness float calcaverage(float sum, int count) { if (count == 0) return 0.0; return sum / count; Note return for each condition Compound Statements and If-Else if ((year % 4) == 0) { printf( Leap year\n ); numdays = 366; { printf( Not a leap year\n ); numdays = 365; Programming Tip: Compound Stmt Does not hurt to always use compound s for if, if- s if (LogicalExpr) { /* or s */ if (LogicalExpr) { /* (s) */ { /* (s) */ Easy to add s later Programming Tip: Indenting Use indenting to make code more clear indent s in function definition to clearly identify body of function indent (s) executed for if by fixed amount (2,3 chars) every time for ifs within an if indent further indent s(s) similarly may want to make {, match (on separate lines) Programming Tip: Conditions Code most likely conditions first Code positive conditions where possible Code parts of solution executed most often first 6

7 Multiway Selection Multiway Flow Chart Multiway if more than 2 alternatives Example: Student Score Message 0-55 Failing Unsatisfactory Satisfactory If-Else has two alternatives, to do multiway, string together If-Else s Score <= 55 Score <= 65 Satisfactory Failing Unsatisfactory Multiway with If-Else if (score <= 55) if (score <= 65) Indenting If-Else Combinations Multiway if- s sometimes indented: if (score <= 55) if (score <= 65) Rule for : matches most recent if Conditions Checked in Reverse Ordering Conditions Score > 65 Score > 55 Failing Satisfactory Unsatisfactory if (score > 65) if (score > 55) But must check conditions in correct order if (score > 55) if (score > 65) Score of 70 would produce Unsatisfactory 7

8 Multiway with If Statements Possible but inefficient: if (score <= 55) if ((score > 55) && (score <= 65)) if (score > 65) Program Robustness Example assumes score in interval [0,100] but doesn t check Add test: if ((score >= 0) && (score <= 100)) /* print message */ printf( Bad score: %d\n,score); Completed Code Nesting Example if ((score >= 0) && (score <= 100)) { if (score <= 55) if (score <= 65) printf( Bad score: %d\n,score); if (A > 0) if ((A % 2) == 0) S1 = S1 + A; S2 = S2 + A; if (A == 0) printf( A zero\n ); NS = NS + A; printf( All done.\n ); A == 0 NS = NS + A printf A > 0 (A % 2) == 0 S2 = S2 + A printf("all done") S1 = S1 + A Matching Else Example Matching Single Else X < 0 Easy to make mistake if (X < 0) Increment NegCount Y < 0 Increment PosCount if (Y < 0) PosCount++; NegCount++; Despite indenting, matches wrong if PosCount updated when X < 0, Y >= 0 8

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