Software Testing Company: Sensitivity Analysis, Random Entry
Having the overall picture of the behavior of a function, test it under various conditions. If the values of the function in some parts of its domain dramatically increase or decrease, or any gaps and jumps, holes are observed in them, they need to be given special consideration.
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Assume that with the input range of 0.4 to 0.46 the function values (or their divergence from the original function values) increase sharply. Divide the range into 100 equal parts and check one value within each of them. If all goes well, you will see that the values of the original function and the one under test are the same, and if not, it will be possible to document the error.
When it comes to professional testing of mathematical functions one cannot do without some knowledge of probability theory. If this refers to a variety of functions, not an only one function, then there must be effective and science-based search technology to identify critical areas in domain of the function – those where its values drastically change or differ from the original ones. Their descriptions can be found in specialized literature.
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Instead of dividing the entire domain of the function in a certain number of equal portions, you can use another input selection method – random entry. The method in which input values are randomly selected has been proven to be more effective, than others, as it implements value equality. For example, testing a sequence of input values such as 0.02; 0.04; 0.06, etc., you will never know how the program handles the odd numbers like 0.03 or a figure with a large number of significant digits, such as 0.1415. At the same time when you select input values randomly, domain of the function is covered much more fully; all types and ranges of input values are covered evenly.
If you have difficulty in choosing from different input selection methods or are not quite sure that the function under test works correctly, opt for the random method. It is perfectly suitable for executing automated tests.
If there is no a clear rationale for selection of specific input values, you can compensate for this deficiency by conducting the number of tests. There are no limitations – the more tests are run for each of the equivalence classes, the better. Typically, while performing automated testing with random input values it is necessary to make at least 1000 calculations.
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