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Iteration is a term that refers to any process that does, or might, repeat itself. Therefore, we see the test cycle as cyclic, or iterative. The test diagnose rework retest cycle is iterative, and that is why we do not have a test phase or stage in our methodology. The terms phase and stage refer to a set of related tasks done in parallel and in series, moving through time in a linear way towards a target date when we deliver the milestone. The linear progression of phases is illustrated in the upper part of Fig. 8-1. If we plan a test phase, we fool ourselves into thinking we know when testing will be done, when we will get out of the maze. But the very nature of a maze is that we cannot see its winding course. And the very nature of testing is that we do not know if the component will pass the tests, so we do not know what tasks we will have to do next. Testing is the process of ensuring that a component performs to both design and requirements speci cations. Quality management includes the processes required to ensure that the project will satisfy the needs for which it was undertaken. Therefore, in quality planning, we de ne and prepare the test plan, and we also de ne other procedures that help ensure quality process and quality results. Testing does not begin until the development stage, because there are no components to test until the team builds them. However,

Theoretically, we can have a nonstandard horizontal direction angle, but it s best to add or subtract whatever multiple of 2p will bring it into the preferred range 0 q < 2p If q 2p, it represents at least one complete counterclockwise rotation from the reference axis If q < 0, it represents clockwise rotation from the reference axis Theoretically, we can have a nonstandard vertical angle, but it s best to restrict it to the range 0 f p We can do that by making sure that we traverse the smallest possible angle between the positive z axis and the ray connecting the origin with P The radius can be any real number, but things are simplest if we keep it nonnegative If we find ourselves working with a negative radius, we should reverse the direction by adding or subtracting p to or from both angles, making sure that we end up with 0 q < 2p and 0 f p Then we must take the absolute value of the negative radius and use it as the radius coordinate

Question 9-8

Consider a point P = (q,f,r) in spherical coordinates How can we determine the coordinates of P in Cartesian xyz space

Fig. 8-1.

1+D&

Answer 9-8

The Cartesian x value of P is x = r sin f cos q The Cartesian y value is y = r sin f sin q The Cartesian z value is z = r cos f

Question 9-9

there is a process similar to testing in earlier stages It is called review, and it is also cyclical However, the review cycle is generally faster than the test diagnose rework retest cycle When we evaluate written documents in review, we can usually see immediately what is wrong Often, we can also make an appropriate x right away When testing physical devices, software components, or other parts of a product or service, we are rarely so lucky Diagnosis is usually a separate task, and rework almost always is Testing begins during development, but review occurs in every stage because all documents should be reviewed In concept, analysis, and design, all deliverables are documents, and all should pass review That is why we allow time for the gates at the end of each of these stages, and include the possibility of rework.

Consider a point P = (x,y,z) in Cartesian three-space How can we find the horizontal angle coordinate q of the point P in spherical coordinates

Answer 9-9

y(lt$/dt)

But if we want to pass through the gate easily, we should include a review cycle in our own schedule, before the gate In development and transition to production, components should be tested, and documents such as the training plan, the user manual, any software code, and the software code documentation should be reviewed Software code is an interesting case, because we can both review it as a written document and test it as a component Generally, we should review it rst, because catching the errors in review will save a lot of time in testing As we move through development, there is more and more testing There is even more in transition to production Also, as we put pieces together, we have to perform integration tests to make sure that they work together.

The Cartesian-to-spherical horizontal-angle conversion process is identical to the Cartesianto-cylindrical direction-angle conversion process: If x = 0 and y = 0, then q = 0 by default If x > 0 and y = 0, then q = 0 If x > 0 and y > 0, then q = Arctan ( y /x)