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The type identi cation indicates what type of elds this segment contains Two bits are required to encode the four possibilities: { 1: key only; 2: key, data; 3: key, pointer; 4: key, data, pointer; } The key eld extends from the identi cation eld and requires up to 9 digit positions In binary form the value could be encoded in 33 bits A pointer, when present, occupies two character positions Its presence indicates that this segment has a descendant subtree Data when present are of variable length, up to 255 characters, and are terminated with a special end-of-string marker Evaluation of the Hierarchical Data Structure We now will evaluate the drug le level by level using the assumptions made earlier We will assume segment sizes based on the values in Table 4-3 The average length of the data strings (15 characters) includes the end-of-string marker Computation of the segment size

After a nonstatic local pointer is declared but before it has been assigned a value, it contains an unknown value (Global and static local pointers are automatically initialized to null) Should you try to use the pointer before giving it a valid value, you will probably crash your program and possibly your computer's operating system as well a very nasty type of error! There is an important convention that most C/C++ programmers follow when working with pointers: A pointer that does not currently point to a valid memory location is given the value null (which is zero) By convention, any pointer that is null implies that it points to nothing and should not be used However, just because a pointer has a null value does not make it "safe" The use of null is simply a convention that programmers follow It is not a rule enforced by the C or C++ languages For example, if you use a null pointer on the left side of an assignment statement, you still run the risk of crashing your program or operating system Because a null pointer is assumed to be unused, you can use the null pointer to make many of your pointer routines easier to code and more efficient For example, you could use a null pointer to mark the end of a pointer array A routine that accesses that array knows that it has reached the end when it encounters the null value The search( ) function shown here illustrates this type of approach

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4-14

Testing f o r Nulls List the offering number and course number of summer 2 0 0 6 offerings without an assigned instructor SELECT OfferNo, CourseNo FROM Offering WHERE FacSSN IS NULLAND OffTerm = 'SUMMER' AND OffYear = 2006 OfferNo 1111 CourseNo IS320

has to consider if a data or pointer value exists at the level The example contains data at only two levels {1, 5} and pointers are needed on all levels but the bottom one {1} Denoting the size of a segment of a record at level i as Ri , we nd that the number of segments per block

/* look up a name */ int search(char *p[], char *name) { register int t; for(t=0; p[t]; ++t) if(!strcmp(p[t], name)) return t; return -1; /* not found */ }

Sec 4-5

hierarchical le 4-15

Example 47 depicts a complex logical expression involving both logical operators A N D and OR W h e n mixing A N D and OR in a logical expression, it is a g o o d idea to use paren theses Otherwise, the reader o f the SELECT statement may not understand h o w the A N D and O R conditions are grouped Without parentheses, y o u must depend o n the default w a y that A N D and O R conditions are grouped

The for loop inside search( ) runs until either a match is found or a null pointer is encountered Assuming the end of the array is marked with a null, the condition controlling the loop fails when it is reached C/C++ programmers commonly initialize strings You saw an example of this in the syntax_error( ) function in the section "Arrays of Pointers" Another variation on the initialization theme is the following type of string declaration:

The density for a B-tree data le implementation can again be estimated with Eq 347 as dens = 069% Large segment sizes can lower the density further if spanning of blocks by single segments is avoided Since segments sequences can span blocks, a number of block accesses may be required to nd a speci c segment at one level The expected number of blocks comprising an entire segment sequence of fanout y is bi (yi ) =

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