Mercurial > hg > blitz_stable
annotate src/EDU/oswego/cs/dl/util/concurrent/misc/Fraction.java @ 32:243c74d599bf
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author | Dan Creswell <dan.creswell@gmail.com> |
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date | Sat, 12 Jun 2010 10:41:47 +0100 |
parents | 3dc0c5604566 |
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0
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1 /* |
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2 File: Fraction.java |
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3 |
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4 Originally written by Doug Lea and released into the public domain. |
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5 This may be used for any purposes whatsoever without acknowledgment. |
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6 Thanks for the assistance and support of Sun Microsystems Labs, |
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7 and everyone contributing, testing, and using this code. |
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8 |
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9 History: |
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10 Date Who What |
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11 7Jul1998 dl Create public version |
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12 11Oct1999 dl add hashCode |
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13 */ |
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14 |
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15 package EDU.oswego.cs.dl.util.concurrent.misc; |
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16 |
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17 |
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18 /** |
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19 * An immutable class representing fractions as pairs of longs. |
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20 * Fractions are always maintained in reduced form. |
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21 **/ |
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22 public class Fraction implements Cloneable, Comparable, java.io.Serializable { |
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23 protected final long numerator_; |
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24 protected final long denominator_; |
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25 |
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26 /** Return the numerator **/ |
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27 public final long numerator() { return numerator_; } |
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28 |
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29 /** Return the denominator **/ |
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30 public final long denominator() { return denominator_; } |
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31 |
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32 /** Create a Fraction equal in value to num / den **/ |
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33 public Fraction(long num, long den) { |
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34 // normalize while constructing |
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35 boolean numNonnegative = (num >= 0); |
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36 boolean denNonnegative = (den >= 0); |
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37 long a = numNonnegative? num : -num; |
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38 long b = denNonnegative? den : -den; |
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39 long g = gcd(a, b); |
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40 numerator_ = (numNonnegative == denNonnegative)? (a / g) : (-a / g); |
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41 denominator_ = b / g; |
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42 } |
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43 |
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44 /** Create a fraction with the same value as Fraction f **/ |
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45 public Fraction(Fraction f) { |
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46 numerator_ = f.numerator(); |
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47 denominator_ = f.denominator(); |
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48 } |
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49 |
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50 public String toString() { |
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51 if (denominator() == 1) |
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52 return "" + numerator(); |
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53 else |
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54 return numerator() + "/" + denominator(); |
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55 } |
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56 |
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57 public Object clone() { return new Fraction(this); } |
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58 |
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59 /** Return the value of the Fraction as a double **/ |
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60 public double asDouble() { |
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61 return ((double)(numerator())) / ((double)(denominator())); |
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62 } |
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63 |
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64 /** |
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65 * Compute the nonnegative greatest common divisor of a and b. |
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66 * (This is needed for normalizing Fractions, but can be |
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67 * useful on its own.) |
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68 **/ |
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69 public static long gcd(long a, long b) { |
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70 long x; |
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71 long y; |
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72 |
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73 if (a < 0) a = -a; |
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74 if (b < 0) b = -b; |
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75 |
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76 if (a >= b) { x = a; y = b; } |
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77 else { x = b; y = a; } |
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78 |
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79 while (y != 0) { |
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80 long t = x % y; |
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81 x = y; |
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82 y = t; |
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83 } |
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84 return x; |
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85 } |
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86 |
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87 /** return a Fraction representing the negated value of this Fraction **/ |
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88 public Fraction negative() { |
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89 long an = numerator(); |
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90 long ad = denominator(); |
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91 return new Fraction(-an, ad); |
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92 } |
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93 |
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94 /** return a Fraction representing 1 / this Fraction **/ |
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95 public Fraction inverse() { |
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96 long an = numerator(); |
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97 long ad = denominator(); |
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98 return new Fraction(ad, an); |
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99 } |
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100 |
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101 |
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102 /** return a Fraction representing this Fraction plus b **/ |
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103 public Fraction plus(Fraction b) { |
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104 long an = numerator(); |
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105 long ad = denominator(); |
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106 long bn = b.numerator(); |
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107 long bd = b.denominator(); |
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108 return new Fraction(an*bd+bn*ad, ad*bd); |
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109 } |
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110 |
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111 /** return a Fraction representing this Fraction plus n **/ |
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112 public Fraction plus(long n) { |
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113 long an = numerator(); |
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114 long ad = denominator(); |
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115 long bn = n; |
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116 long bd = 1; |
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117 return new Fraction(an*bd+bn*ad, ad*bd); |
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118 } |
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119 |
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120 /** return a Fraction representing this Fraction minus b **/ |
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121 public Fraction minus(Fraction b) { |
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122 long an = numerator(); |
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123 long ad = denominator(); |
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124 long bn = b.numerator(); |
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125 long bd = b.denominator(); |
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126 return new Fraction(an*bd-bn*ad, ad*bd); |
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127 } |
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128 |
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129 /** return a Fraction representing this Fraction minus n **/ |
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130 public Fraction minus(long n) { |
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131 long an = numerator(); |
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132 long ad = denominator(); |
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133 long bn = n; |
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134 long bd = 1; |
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135 return new Fraction(an*bd-bn*ad, ad*bd); |
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136 } |
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137 |
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138 |
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139 /** return a Fraction representing this Fraction times b **/ |
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140 public Fraction times(Fraction b) { |
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141 long an = numerator(); |
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142 long ad = denominator(); |
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143 long bn = b.numerator(); |
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144 long bd = b.denominator(); |
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145 return new Fraction(an*bn, ad*bd); |
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146 } |
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147 |
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148 /** return a Fraction representing this Fraction times n **/ |
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149 public Fraction times(long n) { |
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150 long an = numerator(); |
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151 long ad = denominator(); |
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152 long bn = n; |
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153 long bd = 1; |
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154 return new Fraction(an*bn, ad*bd); |
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155 } |
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156 |
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157 /** return a Fraction representing this Fraction divided by b **/ |
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158 public Fraction dividedBy(Fraction b) { |
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159 long an = numerator(); |
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160 long ad = denominator(); |
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161 long bn = b.numerator(); |
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162 long bd = b.denominator(); |
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163 return new Fraction(an*bd, ad*bn); |
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164 } |
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165 |
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166 /** return a Fraction representing this Fraction divided by n **/ |
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167 public Fraction dividedBy(long n) { |
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168 long an = numerator(); |
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169 long ad = denominator(); |
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170 long bn = n; |
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171 long bd = 1; |
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172 return new Fraction(an*bd, ad*bn); |
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173 } |
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174 |
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175 /** return a number less, equal, or greater than zero |
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176 * reflecting whether this Fraction is less, equal or greater than |
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177 * the value of Fraction other. |
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178 **/ |
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179 public int compareTo(Object other) { |
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180 Fraction b = (Fraction)(other); |
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181 long an = numerator(); |
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182 long ad = denominator(); |
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183 long bn = b.numerator(); |
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184 long bd = b.denominator(); |
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185 long l = an*bd; |
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186 long r = bn*ad; |
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187 return (l < r)? -1 : ((l == r)? 0: 1); |
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188 } |
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189 |
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190 /** return a number less, equal, or greater than zero |
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191 * reflecting whether this Fraction is less, equal or greater than n. |
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192 **/ |
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193 |
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194 public int compareTo(long n) { |
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195 long an = numerator(); |
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196 long ad = denominator(); |
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197 long bn = n; |
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198 long bd = 1; |
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199 long l = an*bd; |
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200 long r = bn*ad; |
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201 return (l < r)? -1 : ((l == r)? 0: 1); |
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202 } |
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203 |
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204 public boolean equals(Object other) { |
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205 return compareTo((Fraction)other) == 0; |
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206 } |
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207 |
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208 public boolean equals(long n) { |
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209 return compareTo(n) == 0; |
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210 } |
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211 |
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212 public int hashCode() { |
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213 return (int) (numerator_ ^ denominator_); |
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214 } |
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215 |
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216 } |