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Passive Elements Data statements for R, L, and C elements contain a minimum of three segments. The rst segment gives the name of the element as a string of characters beginning with R, L, or C for resistors, inductors, or capacitors, respectively. The second segment gives the node numbers, separated by a space, between which the element is connected. The third segment gives the element value in ohms, henrys, and farads, optionally using the scale factors given in Table 15-1.

In functional testing, the speci cation of the software is used to identify subdomains that should be tested. One of the rst steps is to generate a test case for every distinct type of output of the program. For example, every error message should be generated. Next, all special cases should have a test case. Tricky situations should be tested. Common mistakes and misconceptions should be tested. The result should be a set of test cases that will thoroughly test the program when it is implemented. This set of test cases may also help clarify to the developer some of the expected behavior of the proposed software.

0.0158, and 2.69 2.69)

Table 15-1 Scale Factors and Symbols Name femto pico nano micro milli kilo mega giga tera Symbol f p n u m k meg g t 10 10 12 10 9 10 6 10 3 103 106 109 1012

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0.5025 0.46 0.0158

Sampling distributions of differences and sums 5.12. Let U1 be a variable that stands for any of the elements of the population 3, 7, 8 and U2 a variable that stands for any of the elements of the population 2, 4. Compute (a) mU1, (b) mU2, (c) mU1 U2, (d) sU1, (e) sU2, (f) sU1 U2.

Possible initial conditions can be given in the fourth segment using the form IC xx. The syntax of the data statement is hnamei hnodesi hvaluei hinitial conditionsi

(a) mU1 mean of population U1 1 (3 3 1 (2 2 7 8) 6

EXAMPLE 15.2 Write the data statements for R, L, and C given in Fig. 15-2.

(c) The population consisting of the differences of any member of U1 and any member of U2 is 3 3 Then mU1 2 4 7 7 2 4 8 8 U2)

In his classic book,1 Glenford Myers poses the following functional testing problem: Develop a good set of test cases for a program that accepts three numbers, a, b, and c, interprets those numbers as the lengths of the sides of a triangle, and outputs the type of the triangle. Myers reports that in his experience most software developers will not respond with a good test set. I have found the same experience in using this example in software engineering classes. Some classes will even fail to include valid triangles in the test set.

2 4 1

Fig. 15-2 Element Resistor Inductor Capacitor hnamei Rin L1 Ceq hnodesi 1 2 5 4 6 hvaluei 3k 30 uH 5 pF [hinitial conditioni IC 2 mA IC 2 V

1 1 6

The third statement for the capacitor connection speci es one node only. The missing node is always taken to be the reference node.

6 4 ( 1) 6 3 4 3

as is seen from (a) and (b). 6)2 (7 3 6)2 (8 6)2 14 3

CHAP. 15]

3)2 2

The htypei for dc and ac sources is DC and AC, respectively. Other time-dependent sources will be described in Section 15.12. Names of voltage and current sources begin with V and I, respectively. For voltage sources, the rst node indicates the positive terminal. The current in the current source ows from the rst node to the second.

For this classic triangle problem, we can divide the domain space into three subdomains, one for each different type of triangle that we will consider: scalene (no sides equal), isosceles (two sides equal), and equilateral (all sides equal). We can also identify two error situations: a subdomain with bad inputs and a subdomain where the sides of those lengths would not form a triangle. Additionally, since the order of the sides is not specified, all combinations should be tried. Finally, each test case needs to specify the value of the output.

variance of population (U1 (1 3)2 (5 3)2 (6

U2) 3)2 6 ( 1 3)2 (3 3)2 (4 3)2 17 3

EXAMPLE 15.3 Write data statements for the sources of Fig. 15-3.

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