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1. If a program has two integer inputs and each can be 32-bit integer, how many possible inputs does this program have Each 32-bit integer has 232 possible values. Thus, a program with two integer inputs would have 264 possible inputs. 2. If a program has 264 possible inputs and one test can be run every millisecond, how long would it take to execute all of the possible inputs That would be 106 tests per second, or 8.64 1010 tests per day. That is equivalent to 3.139 1013 tests per year. Since 210 1024 is about equal to 1000 103 , 264 210 6:4 and is about equal to 103 6:4 1019:2 . Dividing 1019:2 by 1013 give a value more than 105 . Thus it would take at least 105 years to do all those tests.
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CHAPTER 10 Software Testing
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3. A payroll program will calculate the weekly gross pay given an input of the number of hours worked and current wages. A worker may not work more than 80 hours per week, and the maximum wage is $50.00 per hour. Construct functional tests. Functional tests should include tests of normal pay and overtime and tests of the error conditions.
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Hours 30 60 81 20
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4. A program calculates the area of a triangle. The inputs are three sets of x,y coordinates. Construct functional tests. The functional tests should include correct triangles, non-triangles, error conditions, and the obvious orientation of the triangles.
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Point 1 1,1 1,1 10,10 0,0 0,0
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Point 3 5,1 1,10 10,0 10,10 0,0
Expected Area 8 Not a triangle 50 50 0
5. A program accepts two times (in 12-hour format) and outputs the elapsed number of minutes. Construct functional tests. The functional tests should include tests of less than 1 hour, more than 1 hour, one more than 12 hours, one that requires a carry of hours, and one with the times reversed.
Software Testing
Start Time 10:00 a.m. 9:57 p.m. 3:00 a.m. 1:50 a.m. 3:00 a.m. 5:00 p.m.
Stop Time 10:40 a.m. 11:40 p.m. 9:15 p.m. 3:40 a.m. 7:24 a.m. 4:00 a.m.
Expected Elapsed Time 0:40 1:43 18:15 1:50 4:24 Error
6. A binary search routine searches a list of names in alphabetical order and returns true if the name is in the list and returns false otherwise. Construct functional tests. The functional tests should include tests of the following: The rst name in the list The last name in the list A name before the rst name A name after the last name A name in the middle A name not in the list right after the rst name A name not in the list right before the last name 7. For the payroll program in Problem 10.3, identify the conditions and construct the test matrix.
Condition 0<hours<=40 40<hours<=80 0<wages<=50 Hours Wages Expected output T F T 30 50 1500 F T T 50 30 1650 F F T 90 30 Error F T F 50 60 Error T F F 30 70 Error F F F 5 5 Error
CHAPTER 10 Software Testing
8. For the area of the triangle calculation of Problem 10.4, identify the conditions and construct the test matrix.
Conditions Collinear pts Point 1 Point 2 Point 2 Expected area F 10,0 10,10 0,10 50 T 0,0 0,5 0,10 Error
9. For the elapsed time calculator of Problem 10.5, identify the conditions and construct the test matrix. There are no conditions speci ed on the time. The only conditions could be that the times are valid times. 10. For the binary search routine of Problem 10.6, identify the conditions and construct the test matrix. There are no conditions speci ed on the search. 11. Find the minimal set of test cases that would achieve C0 and C1 coverage of the triangle problem pseudocode from Example 10.3. C0 can be achieved with one test case of three equal values less than or equal to zero, e.g., 0,0,0. C1 can be achieved with two test cases: 0,0,0 and a scalene, e.g., 3,4,5. 12. The following pseudocode implements the elapsed time problem of Problem 10.5 if the elapsed time is less than 24 hours. Select test cases until every-statement coverage is achieved. Select additional test cases to achieve every-branch coverage read hr1 min1 AmOrPm1 read hr2 min2 AmOrPm2 if (hr1 == 12) hr1 = 0 if (hr2 == 12) hr2 = 0 if (AmOrPm1 == pm) hr1 = hr1 + 12 if (AmOrPm2 == pm) hr2 = hr2 + 12
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