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8.1 Inserting 16 entries into the German-English dictionary:
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public class Testing { public static void main(String[] args) { Map map = new HashMap(11); map.put("Ast","branch"); map.put("Eis","ice"); map.put("Hof","court, yard, farm"); map.put("Hut","hat"); map.put("Lob","praise"); map.put("Mal","mark, signal"); map.put("Mut","courage"); map.put("Ohr","ear"); map.put("Ost","east"); map.put("Rad","wheel"); map.put("Rat","advice, counsel"); map.put("Tag","day"); map.put("Tor","gate"); map.put("Uhr","clock"); map.put("Wal","whale"); map.put("Zug","procession, train"); System.out.println("map=" + map); System.out.println("map.keySet()=" + map.keySet()); System.out.println("map.size()=" + map.size()); } }
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A Concordance that filters out common words:
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public class Concordance { private Map<String,String> map = new TreeMap<String,String>(); private Set<String> words = new TreeSet<String>(); public Concordance(String source, String filter) { int lineNumber = 0; try { Scanner input = new Scanner(new File(filter)); while (input.hasNextLine()) { String line = input.nextLine(); StringTokenizer parser = new StringTokenizer(line); words.add(parser.nextToken().toUpperCase()); }
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CHAP. 8]
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input = new Scanner(new File(source)); while (input.hasNextLine()) { String line = input.nextLine(); ++lineNumber; StringTokenizer parser = new StringTokenizer(line,",.;:()-! ' "); while (parser.hasMoreTokens()) { String word = parser.nextToken().toUpperCase(); if (words.contains(word)) { continue; } // insert lines 14-40 from Example 8.9
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A sorted German-English dictionary:
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public class TestDictionary { private static Map map; public static void main(String[] args) { map = new TreeMap(); load(); dump(); } private static void load() { map.put("Ast","branch"); map.put("Eis","ice"); map.put("Hof","court, yard, farm"); map.put("Hut","hat"); map.put("Lob","praise"); map.put("Mal","mark, signal"); map.put("Mut","courage"); map.put("Ohr","ear"); map.put("Ost","east"); map.put("Rad","wheel"); map.put("Rat","advice, counsel"); map.put("Tag","day"); map.put("Tor","gate"); map.put("Uhr","clock"); map.put("Wal","whale"); map.put("Zug","procession, train"); } private static void dump() { Set set = map.entrySet(); for (Map.Entry<String,String> entry : map.entrySet()) { System.out.println(entry); } } }
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A frequency table:
public class FrequencyTable { private Map<String,String> map = new TreeMap<String,String>(); public FrequencyTable(String file) { int lineNumber = 0; try { Scanner input = new Scanner(new File(file)); while (input.hasNextLine()) { String line = input.nextLine(); ++lineNumber; StringTokenizer parser = new StringTokenizer(line,",.;:()-! ' ");
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while (parser.hasMoreTokens()) { String word = parser.nextToken().toUpperCase(); String frequency = (String)map.get(word); if (frequency==null) { frequency = "1"; } else { int n=Integer.parseInt(frequency); ++n; frequency = "" + n; } map.put(word, frequency); // insert lines 21-40 from Example 8.9
[CHAP. 8
Recursion
A recursive function is one that calls itself. This powerful technique produces repetition without using loops (e.g., while loops or for loops). Thus it can produce substantial results from very little code. Recursion allows elegantly simple solutions to difficult problems. But it can also be misused, producing inefficient code. Recursive code is usually produced from recursive algorithms. SIMPLE RECURSIVE FUNCTIONS EXAMPLE 9.1 The Factorial Function
The factorial function is defined mathematically by n! = 1, if n = 0 n n 1 !, if n 0
0 1 2 3 4 5 6 7 8 9
1 1 2 6 24 120 720 5,040 40,310 362,880
This is a recursive definition because the factorial recurs on the right side of the equation. The function is defined in terms of itself. The first 10 values of the factorial function are shown in Table 9.1. The first value, 0!, is defined by the upper half of the definition: 0! = 1 (for n = 0). All the rest of the values are defined by the lower half of the definition: For n = 1, 1! = n! = n(n 1)! = 1(1 1)! = 1(0)! = 1(1) = 1. For n = 2, 2! = n! = n(n 1)! = 2(2 1)! = 2(1)! = 2(1) = 2. For n = 3, 3! = n! = n(n 1)! = 3(3 1)! = 3(2)! = 3(2) = 6. For n = 4, 4! = n! = n(n 1)! = 4(4 1)! = 4(3)! = 4(6) = 24. For n = 5, 5! = n! = n(n 1)! = 5(5 1)! = 5(4)! = 5(24) = 120. Notice how rapidly this function grows.
Table 9.1 Factorials
EXAMPLE 9.2 Recursive Implementation of the Factorial Function
When a function is defined recursively, its implementation is usually a direct translation of its recursive definition. The two parts of the recursive definition of the factorial function translate directly into two Java statements:
1 2 3 4
public static int f(int n) { if (n==0) { return 1; // basis }
return n*f(n-1); }
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