Mercurial > hg > blitz_stable

annotate src/EDU/oswego/cs/dl/util/concurrent/misc/Fraction.java @ 27:511648fa4d64 Version 2.1

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Version to 2.1
author Dan Creswell <dan.creswell@gmail.com>
date Mon, 04 Jan 2010 13:00:40 +0000
parents 3dc0c5604566
children
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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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Dan Creswell <dan.creswell@gmail.com>
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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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Dan Creswell <dan.creswell@gmail.com>
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142 long ad = denominator();
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Dan Creswell <dan.creswell@gmail.com>
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143 long bn = b.numerator();
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Dan Creswell <dan.creswell@gmail.com>
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144 long bd = b.denominator();
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Dan Creswell <dan.creswell@gmail.com>
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145 return new Fraction(an*bn, ad*bd);
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Dan Creswell <dan.creswell@gmail.com>
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146 }
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147
3dc0c5604566 Initial checkin of blitz 2.0 fcs - no installer yet.
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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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Dan Creswell <dan.creswell@gmail.com>
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151 long ad = denominator();
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152 long bn = n;
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Dan Creswell <dan.creswell@gmail.com>
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153 long bd = 1;
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154 return new Fraction(an*bn, ad*bd);
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Dan Creswell <dan.creswell@gmail.com>
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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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Dan Creswell <dan.creswell@gmail.com>
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160 long ad = denominator();
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161 long bn = b.numerator();
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Dan Creswell <dan.creswell@gmail.com>
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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
3dc0c5604566 Initial checkin of blitz 2.0 fcs - no installer yet.
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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();
3dc0c5604566 Initial checkin of blitz 2.0 fcs - no installer yet.
Dan Creswell <dan.creswell@gmail.com>
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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();
3dc0c5604566 Initial checkin of blitz 2.0 fcs - no installer yet.
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182 long ad = denominator();
3dc0c5604566 Initial checkin of blitz 2.0 fcs - no installer yet.
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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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Dan Creswell <dan.creswell@gmail.com>
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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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Dan Creswell <dan.creswell@gmail.com>
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210 }
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Dan Creswell <dan.creswell@gmail.com>
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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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Dan Creswell <dan.creswell@gmail.com>
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214 }
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215
3dc0c5604566 Initial checkin of blitz 2.0 fcs - no installer yet.
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216 }