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-- get rate from table -- add rate to total
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This process is similar to the 0 process described in 1 9, The Pseudocode 2 Programming Process.
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9 CROSS-REFERENCE
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Second, convert the comments in the body of the loop to code, as much as you can without actually writing the whole loop. In this case, get the rate for one person and add it to the overall total. Use concrete, specific data rather than abstractions.
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Step 2: Creating a Loop from the Inside Out (Pseudocode Example)
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table doesn t have any indexes yet.
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rate = table[ ] totalRate = totalRate + rate
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The example assumes that table is an array that holds the rate data. You don t have to worry about the array indexes at first. rate is the variable that holds the rate data selected from the rate table. Likewise, totalRate a variable that holds the total of the rates.
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16. Controlling Loops
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Next, put in indexes for the table array.
Step 3: Creating a Loop from the Inside Out (Pseudocode Example)
rate = table[ census.Age ][ census.Gender ] totalRate = totalRate + rate
The array is accessed by age and sex, so census.Age and census.Gender are used to index the array. The example assumes that census is a structure that holds information about people in the group to be rated. The next step is to build a loop around the existing statements. Since the loop is supposed to compute the rates for each person in a group, the loop should be indexed by person.
Step 4: Creating a Loop from the Inside Out (Pseudocode Example)
For person = firstPerson to lastPerson rate = table[ census.Age, census.Gender ] totalRate = totalRate + rate End For
All you have to do here is put the for loop around the existing code and then indent the existing code and put it inside a begin-end pair. Finally, check to make sure that the variables that depend on the person loop index have been generalized. In this case, the census variable varies with person, so it should be generalized appropriately.
Step 5: Creating a Loop from the Inside Out (Pseudocode Example)
For person = firstPerson to lastPerson rate = table[ census[ person ].Age, census[ person ].Gender ] totalRate = totalRate + rate End For
Finally, write any initializations that are needed. In this case, the totalRate variable needs to be initialized. The final code appears next.
Final Step: Creating a Loop from the Inside Out (Pseudocode Example)
totalRate = 0 For person = firstPerson to lastPerson rate = table[ census[ person ].Age, census[ person ].Gender ] totalRate = totalRate + rate End For
If you had to put another loop around the person loop, you would proceed in the same way. You don t need to follow the steps rigidly. The idea is to start with something concrete, worry about only one thing at a time, and build up the loop from simple components. Take small, understandable steps as you make the loop more general and complex. That way, you minimize the amount of code
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16. Controlling Loops
Page 23
you have to concentrate on at any one time and therefore minimize the chance of error.
16.4 Correspondence Between Loops and Arrays
For further discussion of the correspondence between loops and arrays, see Section 10.7, Relationship Between Data Types and Control Structures.
3 CROSS-REFERENCE
Loops and arrays are often related. In many instances, a loop is created to perform an array manipulation, and loop counters correspond one-to-one with array indexes. For example, the Java for loop indexes below correspond to the array indexes:
Java Example of an Array Multiplication
for ( int row = 0; row < maxRows; row++ ) { for ( int column = 0; column < maxCols; column++ ) { product[ row ][ column ] = a[ row ][ column ] * b[ row ][ column ]; } }
In Java, a loop is necessary for this array operation. But it s worth noting that looping structures and arrays aren t inherently connected. Some languages, especially APL and Fortran 90 and later, provide powerful array operations that eliminate the need for loops like the one above. Here s an APL code fragment that performs the same operation:
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