ࡱ> DF?@ABC% 8bjbj%% "GG4ll.Hvvvvvvv0222222$ hVvvvvvVvvvkvvvvvv0vv0vv00v" $f v00009v90vSimple Program Design "Chapter 4: Selction control structures" Chapter Outline Selection control structures The selection control structure Algorithms using selection The case structure Chapter summary Programming problems  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/selection.jpg" \* MERGEFORMATINET  The selection control structure allows computers to make decisions. The selection control structure The selection control structure in pseudocode to illustrate a choice between two or more actions, depending on whether a condition is true or false. This condistion is expressed with one of the following relational operators: < less than > greater than = equal to <= less than or equal to >= greater than or equal to <> not equal to In the IF statement, a choice is made between two alternate paths, based on a decision about whether the 'condition' is true or false. Here are some of the variations on the If statement. 1 Simple selection (simple IF statement) The simple selection choose between two alternative paths based on the condition being either ture or false. Its pseudocode form is: IF, THEN, ELSE and ENDIF. IF account_balance < $300 THEN service_charge = $5.00 ELSE service_charge = $2.00 ENDIF 2 Simple selection with null false branch (null ELSE statement) A simple selection can have a NULL ELSE branch. In that case the selection is choosing between executing or bypassing an action. IF student_attendance = part_time THEN add 1 to part_time_count ENDIF Here, the part_time_count field will be altered only if the student's attendance pattern is part time. 3 Combined selection (combined IF statement) The IF statement can have a multiple condition connected together by by the logical operators AND and/or OR. The AND between conditions requires both conditons to be true before executing the THEN branch. IF student_attendance = part_time AND student_gender = female THEN add 1 to fem_part_time_count ENDIF In the above IF, the student must be both part time and female to be added to the count. If student_attendance = part_time OR student_gender = female THEN add 1 to fem_part_time_count ENDIF In the above IF, the student will be added to the count if they are part time OR if they are female. IF record_code = '23' OR update_code = delete AND account_balance = zero THEN delete customer record ENDIF The above IF is more compicated. The record will be delete if the record code is 23 OR (if the update code is delete AND the account balance is zero). IF (record_code = '23' OR update_code = delete) AND account_balance = zero THEN delete customer record ENDIF At first the above IF looks just like the previous IF. However, the ( ) changes how we interpret it. The record will be deleted if the account blance is zero, AND one of the following is true: The record code is 23 OR the update code is delete.) So, the record is delete IF the record code is 23 AND the account balance is zero. OR, the record will also be deleted IF the update code is delete and the account balance is zero. The NOT operator The NOT operator turns the result of a condition upside down! If the condition would have been true, NOT makes it false. If the condition would have been false, NOT makes it true. Usually, it is better to reword the condition so you don't need the word NOT, since the NOT is confussing. For example: IF NOT (record_code = '23') THEN update customer record ENDIF The above IF updates the customer record if the record code isn't 23. You can get rid of the NOT by replacing the = operator with <> operator (which is not equal to). Now consider the following: IF NOT (record_code = '23' AND update_code = delete) THEN update customer record ENDIF The above IF means IF the record code is not equal 23 update the customer record, OR IF update code is not equal delete update the customer record. It could be rewritten as: IF record_code <> '23' OR update_code <> delete THEN update customer record ENDIF 4 Nested selection (nested IF statement) A nested selection (IF) occurs when either the true of false branch of one If has another IF statement init. Linear nested IF statements The linear nested IF statement is used when a field is being tested for various values and a different action is to be taken for each value. IF record_code = 'A' THEN increment counter_A ELSE IF record_code = 'B' THEN increment counter_B ELSE IF record_code = 'C' THEN increment counter_C ELSE increment error_counter ENDIF ENDIF ENDIF Non-linear IF statements A non-linear nested IF occurs when a number of different conditions need to be satisfied before a particular action can occur. A compound condition would make these easier to read IF student_attendance = part_time THEN IF student_gender = female THEN IF student_age > 21 THEN add 1 to mature_fem_pt_students ELSE add 1 to young_fem_pt_students ENDIF ELSE add 1 to male_pt_students ENDIF ELSE add 1 to full_time_students ENDIF Notice some of the ELSEs are not right next to their THEN statements. This can be made easier to follow by rearraning it into a linear nested IF, as shown below. IF student_attendance = full_time THEN add 1 to full_time_students ELSE IF student_gender = male THEN add 1 to male_pt_students ELSE IF student_age > 21 THEN add 1 to mature_fem_pt_students ELSE add 1 to young_fem_pt_students ENDIF {age >} ENDIF {gender = male} ENDIF {full time} Algorithms Using Selection Now, we will look at some algorithms the require selection constructures. Example 4.1 Read three characters The first problem is: sort three characters and print them out in ascending order. A Defining diagram Here is the IPO chart.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel1.jpg" \* MERGEFORMATINET  B Solution algrithm Here is the algorithm Read_three_characters Prompt the operator for char_1, char_2, char_3 Get char_1. char_2, char_3 IF char_1 > char_2 THEN temp = char_1 char_1 = char_2 char_2 = temp ENDIF IF char_2 > char_3 THEN temp = char_2 char_2 = char_3 char_3 = temp ENDIF IF char_1 > char_2 THEN temp = char_1 char_1 = char_2 char_2 = temp ENDIF output to the screen char_1, char_2, char_3 END C Desk checking Now we choose some test data (characters)  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel2.jpg" \* MERGEFORMATINET  Now, calculate the expected answers (alpabetize them)  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel3.jpg" \* MERGEFORMATINET  Now, we walk the data through the algorithm, one instruction at a time. 1. Prompt the operator for char 1, char 2, and char 3, by displaying the message "please enter three character". Oops! The desk check table doesn't show the prompt. You need to add a column for it! 2. Get the three characters by reading them into variable char 1, char 2, and char 3. char 1 = k, char 2 = b, char 3 = g. 3. Is char 1 > char 2? Yes, so switch the values, by first moving the value in char 1 to the variable temp. Then move the value in char 2 to char 1, finally move the value in temp to the variable char 1. This makes char 1 = b, and char 2 = k. 4. Now, is char 2 > char 3? Yes, so switch the values, by moving the value of char 2 into temp, them move the value of char 3 to char 2, and finally move the value in temp to char 3. Now, char 2 = g and char 3 = k. 5. Is char 1 > char 2? No! so skip the next instructions inside of this IF. 6. Output the three characters by printing b g k in the output area. Oops! That is missing. Add it. 7. Repeat the first six steps using the second data set. This desk checking chart is shown below.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel4.jpg" \* MERGEFORMATINET  Example 4.2 Process customer record The problem is to calculate the sales tax and total amount due for different tax codes. The tax code enter must be validated. A Defining diagram Here is the IPO chart.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel5.jpg" \* MERGEFORMATINET  B Solution algorithm Here is the algorithm. Process_customer_record Read cust_name, purch_amt, tax_code IF tax_code = 0 THEN sales_tax = 0 ELSE IF tax_code = 1 THEN sales_tax = purch_amt * 0.03 ELSE IF tax_code = 2 THEN sales_tax = purch_amt * 0.05 ELSE sales_tax = purch_amt * 0.07 ENDIF ENDIF ENDIF total_amt = purch_amt + sales_tax Print cust_name, purch_amt, sales_tax, total_amt END C Desk checking Now we think up some test data.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel6.jpg" \* MERGEFORMATINET  Now, try doing the calculations by hand to get the expected results.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel7.jpg" \* MERGEFORMATINET  Now, we desk check the algorithm, by executing the instructions one by one, using the incomplete desk check table below.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel8.jpg" \* MERGEFORMATINET  PLEASE NOTE! The test data only test two of the four tax codes! You need at least two more test cases, that check out the other two tax codes, to completely desk check this algorithm. ANOTHER NOTE! The algorithm DID NOT validated the tax code. It will accept any tax code, and if it isn't 0, 1, or 2, it assums it is 3. Try feeding it a bad tax code of 10 and see what happends. Example 4.3 Calculate employee's pay Now, your are asked to calculate the weekly paycheck and print out the amount along with the input data used in the calculations. A Defining diagram Here is the IPO chart for this problem.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel9.jpg" \* MERGEFORMATINET  B Solution algorithm First here is how a boolean variable works.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel10.jpg" \* MERGEFORMATINET  Here is the IPO chart for this problem. Compute_employee_pay Set valid_input_fields to true Set error_message to blank Read emp_no, pay_rate, hrs_worked IF pay_rate > $25 THEN error_message = 'Pay rate exceeds $25.00' valid_input_fields = false Print emp_no, pay_rate, hrs_worked, error_message ENDIF IF hrs_worked > 60 THEN error_message='Hours worked exceeds limit of 60' valid_input_fields = false Print emp_no, pay_rate, hrs_worked, error_message ENDIF IF valid_input_fields THEN IF hrs_worked <= 35 THEN emp_weekly_pay = pay_rate * hrs_worked ELSE overtime_hrs = hrs_worked - 35 overtime_pay = overtime_hrs * pay_rate * 1.5 emp_weekly_pay = (pay_rate * 35) + overtime_pay ENDIF Print emp_no, pay_rate, hrs_worked, emp_weekly_pay ENDIF END C Desk checking It would take at least five test cases to try out all the paths in the above algorithm! However, here is the two test cases from the book.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel11.jpg" \* MERGEFORMATINET  Here is the expected results for the above test data.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel12.jpg" \* MERGEFORMATINET  Here is the desk checking table. Of course it is missing a column to show what should be printed!  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel13.jpg" \* MERGEFORMATINET  The Case Structure The case control structure is another way of expressing a linear nested IF statement. It is easier to read than deeply nested IFs. Here is a nested IF that test for 4 conditions. It is complicated. Think about how a 10 condition nested IF would look. IF record_code = 'A' THEN increment counter_A ELSE IF record_code = 'B' THEN increment counter_B ELSE IF record_code = 'C' THEN increment counter_C ELSE increment error_counter ENDIF ENDIF ENDIF Here is the general form of a CASE statement. CASE OF single variable value_1 :statement block_1 value_2 :statement block_2 . . . value_n :statement block_n value_other: statement block_other ENDCASE It has a variable of type integer, whose value determines which statement block to execute. The value_other is executed if none of the specified values are found. The CASE statement can test many, many conditions. The Tovin the Maze Solving Robot program has a CASE statement with over 100 conditions being tested! Here is the four condition If from above replaced with a CASE statement. CASE OF record_code 'A' :increment counter_A 'B' :increment counter_B 'C' :increment counter_C other :increment error_counter ENDCASE Example 4.4 Process customer record Get a customer's record, calculate and print out their bill. A Defining diagram Here is the IPO chart for this program.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel14.jpg" \* MERGEFORMATINET  B Solution algorithm Here is algorithm Process_customer_record Read cust_name, purch_amt, tax_code CASE OF tax_code 0: sales_tax = 0 1: sales_tax = purch_amt * 0.03 2: sales_tax = purch_amt * 0.05 3: sales_tax = purch_amt * 0.07 ENDCASE total_amt = purch_amt + sales_tax Print cust_name, purch_amt, sales_tax, total_amt END C Desk checking Here are two sets of test data. NOTE: You need two more sets of do to test out all of the IF branches!  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel15.jpg" \* MERGEFORMATINET  Here are the expected results for the given test data.  INCLUDEPICTURE "http://www.tvcc.cc/staff/fuller/cs161/dchap4/sel16.jpg" \* MERGEFORMATINET  Here is the desk checking table. Of course it doesn't show what is printed.  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