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Next, Halstead wanted to estimate the time necessary to implement the algorithm. He used some work developed by a psychologist in the 1950s, John Stroud. Stroud had measured how fast a subject could view items passed rapidly in front of his face. S is the Stroud number (emd/sec) taken from those experiments. Halstead used 18 emd/sec as the value of S. T E=S

4.13 Write a simple program like the one in Example 4.2 to check the identity: = - 1.

This is similar to Example 4.2: #include #include main0 for (float x = 0; x < 1; x += 0.1) tout -CC cos(2*x) << '\t' << 2*cos(x)*cos(x) <iostream.h> <math.h>

- 1 << endl;

U,9aoo67 0*92106l * 0.825336 -0 a 696707 0.540302 0,362358 0 JAi9.96 7 -0A2915397 -0.227202

Sallie Henry and Dennis Kafura developed a metric to measure the intermodule complexity of source code. The complexity is based on the ow of information into and out of a module. For each module, a count is made of all the information ows into the module, ini, and all the information ows out of the module, outi. These information ows include parameter passing, global variables, and inputs and outputs. They also use a measure of the size of each module as a multiplicative factor. LOC and complexity measures have been used as this weight. HKi weighti outi ini 2 The total measure is the sum of the HKi from each module.

Each value in the first column matches the corresponding value in the second column, showing that the identity is true for the 10 values of x tested. 4.14 A more efficient way to compute the permutations function P(n,k) is by the formula

P(n,k) = (n) (n-l) (n-2)...(n-k+2) (n-k+l)

This means the product of the k integers from n down to n - k + 1. Use this formula to rewrite and test the perm ( > function from Example 4.9.

To compute a product of k integers, we use a for loop that iterates k times. Each time, p is multiplied by n which is then decremented. The result is that 1 is multiplied by n, n- 1, n- 2, etc., downto n-k+l: int perm(int, int);

Calculate the HK information flow metrics from the following information. Assume the weight of each module is 1.

main0 { for (int i = -1; i < 8; i++) { for (int j = -1; j <= i+l; j++) tout << " H << perm(i,j); tout << endl; >

related to the key pair used to sign the message, but may contain other information to identify a key pair indirectly. It is typical for KeyName to include simple string names for keys, a key index, or an e-mail address to identify a key pair. The KeyValue element contains a single public key that may be used to validate a signature. Structured formats to de ne Directory System Agent (DSA) and Rivest, Shamir, and Adleman (RSA) public keys appear in the Signature Algorithms section of the XML-Signature syntax and processing speci cation. A KeyValue element may include externally de ned public key values represented as PCDATA or element types from an external namespace. The schemas (and DTDs) for all the KeyInfo components are KeyName: SCHEMA: <element name="KeyName" type="string"/> DTD: <!ELEMENT KeyName (#PCDATA) > KeyValue: SCHEMA: <element name="KeyValue" type="ds:KeyValueType"/> <complexType name="KeyValueType" mixed="true"> <choice> <element ref="ds:DSAKeyValue"/> <element ref="ds:RSAKeyValue"/> <any namespace="##other" processContents="lax"/> </choice> </complexType> DTD: <!ELEMENT KeyValue (#PCDATA|DSAKeyValue|RSAKeyValue %KeyValue.ANY;)* > DSAKeyValue elds P, Q, G, and Y are mandatory; other value elds, J, seed, and pgenCounter, are optional, but should be included when this kind of key value is used. SCHEMA: <element name="DSAKeyValue" type="ds:DSAKeyValueType"/> <complexType name="DSAKeyValueType"> <sequence> <sequence> <element name="P" type="ds:CryptoBinary"/> <element name="Q" type="ds:CryptoBinary"/> <element name="G" type="ds:CryptoBinary"/> <element name="Y" type="ds:CryptoBinary"/> <element name="J" type="ds:CryptoBinary" minOccurs="0"/>

// Returns P(n,k), the number of permutations of k from n: int perm(int n, int k)

if (n < 0 II k < 0 II k > n) return 0; int p = 1; for (int i = 1; i <= k; i++, n-4 p *-n; return p; 1

C(n, k) = n! k! (n-k) !

a 4 3

This is a straightforward implementation of the formula: int comb(int, int);