1. Neal Stublen nstublen@jccc.edu

3. Human Decisions  Think about a decision you've made today?  How did you arrive at that decision?  Was it a black-and-white decision for you?  Our decisions can be complex?

4. Computer "Decisions"  Computer decisions always reduce down to simple logic comparisons  Something is true or something is false  It has a boolean value of true or false  The decision block in a flow diagram requires a yes/no decision Is the light red? Is the light yellow? Is the light green?

5. Boolean Decisions  We use boolean expressions to determine a true or false condition  We implement a selection structure  Dual-alternative selection (if-then-else)  Single-alternative selection (if-then)

6. If-Then  If the condition is true, then perform an action or a sequence of actions if condition then action endif if time is 6pm then begin class endif

7. If-Then-Else  If the condition is true, then perform an action or a sequence of actions  Else perform a different action or sequence of actions if condition then action else another action endif if time is 6pm then begin class else wait endif

8. Boolean Expressions  An expression is just a statement the computer will evaluate 4 + 3 x / 4  A boolean expression will be evaluated as either true or false  Relational operators are used in boolean expressions

9. Relational Operators  Equivalence, = or ==  Greater than, >  Less than, <  Greater than or equal to, >=  Less than or equal to, <=  Not equal to, <> or !=  Also called comparison operators

10. Relational Operators if customerAge >= 65 then discount = 0.10 else discount= 0.0 endif if customerAge <65 then discount = 0.0 else discount = 0.10 endif

11. Negation Operator  A negation operator reverses the logic of a true or false expression (NOT or !) if age >= 21 then allow purchase endif if NOT age >= 21 then refuse purchase endif

12. Example  What logic can we use to implement the following discount table: PurchaseDiscount $0.00 to $25.005% $25.01 to $50.0010% $50.01 to $100.0015% Over $100.0020%

13. Implementing Minimal Conditions  Selecting from a group of ranges, the last check is never necessary  If the table is complete, we rule out one possibility with each check  If total is not > 100 and total is not > 50 and total is not > 25, then total must be <= 25.

14. Compound Conditions  Sometimes we need more complex logic to make a decision if I’m speeding then if I see a police car then slow down immediately endif

15. Nested Decisions if condition1 then if condition2 then take action endif if condition1 AND condition2 then take action endif

16. AND Operator if x AND y then do something endif “x AND y” is a boolean expression that can be evaluated as true or false xyx AND y True False TrueFalse

17. Short-Circuit Evaluation if x AND y then do something endif If we know x is false, we know x AND y is also false. There’s no need to evaluate y.

18. Short-Circuit Example if age > 12 AND age < 65 then movieDiscount = 0.0 endif If age is less than or equal to twelve, the computer will not need to determine if age is greater than 65.

19. Example  How would we implement the following discount table:  On Sundays, senior citizens receive an additional 5% discount. PurchaseDiscount $0.00 to $25.005% $25.01 to $50.0010% $50.01 to $100.0015% Over $100.0020%

20. OR Operator if x OR y then do something endif “x OR y” is a boolean expression that can be evaluated as true or false xyx OR y True FalseTrue FalseTrue False

21. Short-Circuit Evaluation? if x OR y then do something endif Is there a short-circuit evaluation for the OR operator? If we know x is true, we know x OR y is also true. There’s no need to evaluate y.

22. OR Efficiency if age < 12 then movieDiscount = 0.10 endif if age > 65 then movieDiscount = 0.10 endif if age 65 then movieDiscount = 0.10 endif

23. AND/OR Precedence  AND operator is always evaluated before the OR operator  c1 OR c2 AND c3 OR c4  c1 OR (c2 AND c3) OR c4

24. Precedence Example if age = 65 AND not Friday then discount = 0.10 endif A twelve year old still gets the discount on Friday. if (age = 65) AND not Friday then discount = 0.10 endif Parentheses always clarify intention.

25. Summary  Boolean expressions  Relational operators  AND Logic  OR Logic  Selection within ranges  AND/OR precedence

26. Date Validation  What logic would we need to validate a user’s date input?  The user enters separate values for the month, day, and year.