1 | package org.expeditee.core;
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2 |
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3 | /**
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4 | * Represents a (x,y)-coordinate in 2-dimensional space.
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5 | * Coordinates are integral.
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6 | *
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7 | * @author cts16
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8 | */
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9 | public class Point {
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10 |
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11 | /** The origin of the coordinate system. */
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12 | public static final Point ORIGIN = new Point(0, 0);
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13 |
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14 | /** The x-coordinate of this point. */
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15 | public int x;
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16 | /** The y-coordinate of this point. */
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17 | public int y;
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18 |
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19 | /** Default constructor creates a point at the origin. */
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20 | public Point()
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21 | {
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22 | this(0, 0);
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23 | }
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24 |
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25 | /** Standard constructor. */
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26 | public Point(int x, int y)
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27 | {
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28 | set(x, y);
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29 | }
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30 |
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31 | /** Convenience constructor automatically casts floats to ints. */
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32 | public Point(float x, float y)
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33 | {
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34 | this((int) x, (int) y);
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35 | }
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36 |
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37 | /** Copy constructor. */
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38 | public Point(Point other)
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39 | {
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40 | this();
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41 | set(other);
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42 | }
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43 |
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44 | /** Sets the position of the point. */
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45 | public Point set(int x, int y)
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46 | {
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47 | this.x = x;
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48 | this.y = y;
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49 | return this;
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50 | }
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51 |
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52 | /** Sets the position of this point to be the same as the given point.
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53 | If p is null, no change is made. */
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54 | public Point set(Point p)
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55 | {
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56 | if (p != null) set(p.x, p.y);
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57 | return this;
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58 | }
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59 |
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60 | /** Moves the point by the given amount in each dimension. */
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61 | public Point add(int x, int y)
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62 | {
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63 | this.x += x;
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64 | this.y += y;
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65 | return this;
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66 | }
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67 |
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68 | /** Moves the point by the given amount in each dimension.
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69 | Doubles are automatically cast to ints. */
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70 | public Point add(double x, double y)
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71 | {
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72 | return add((int) x, (int) y);
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73 | }
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74 |
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75 | /** Adds the coordinates of the given point to this point's coordinates
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76 | (treating points as vectors). */
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77 | public Point add(Point p)
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78 | {
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79 | if (p != null) add(p.x, p.y);
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80 | return this;
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81 | }
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82 |
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83 | /**
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84 | * Rotates this point around another point.
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85 | *
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86 | * @param angle
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87 | * The angle to rotate through (clockwise, in radians).
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88 | *
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89 | * @param x
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90 | * The x-coordinate of the centre of rotation.
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91 | *
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92 | * @param y
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93 | * The y-coordinate of the centre of rotation.
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94 | */
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95 | public Point rotate(double angle, int x, int y)
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96 | {
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97 | // Find the distance from this point to the centre of rotation
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98 | // (should stay the same during rotation)
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99 | double length = Point.distanceBetween(x, y, this.x, this.y);
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100 |
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101 | // Find the starting elevation angle of this point relative to
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102 | // the centre of rotation.
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103 | double startingAngle = Math.atan2(this.y - y, this.x - x);
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104 |
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105 | // Increase/decrease the elevation angle by the given amount
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106 | double finalAngle = startingAngle + angle;
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107 |
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108 | // Calculate the point at the same distance from the centre of rotation
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109 | // elevated at the new angle.
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110 | this.x = (int) (x + length * Math.cos(finalAngle));
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111 | this.y = (int) (y + length * Math.sin(finalAngle));
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112 |
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113 | return this;
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114 | }
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115 |
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116 | /**
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117 | * Rotates this point around another point.
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118 | *
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119 | * @param angle
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120 | * The angle to rotate through (clockwise, in radians).
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121 | *
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122 | * @param cor
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123 | * The centre of rotation.
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124 | */
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125 | public Point rotate(double angle, Point cor)
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126 | {
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127 | if (cor != null) rotate(angle, cor.x, cor.y);
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128 | return this;
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129 | }
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130 |
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131 | /** Gets the distance from this point to another point. */
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132 | public double getDistanceTo(Point other)
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133 | {
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134 | return distanceBetween(this, other);
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135 | }
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136 |
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137 | /** Gets the distance between two points. */
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138 | public static double distanceBetween(Point p1, Point p2)
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139 | {
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140 | if (p1 == null || p2 == null) return 0.0;
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141 |
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142 | return distanceBetween(p1.x, p1.y, p2.x, p2.y);
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143 | }
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144 |
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145 | /** Gets the distance between two points specified by their coordinates. */
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146 | public static double distanceBetween(int x1, int y1, int x2, int y2)
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147 | {
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148 | double x = x1 - x2;
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149 | double y = y1 - y2;
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150 | return Math.sqrt(x * x + y * y);
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151 | }
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152 |
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153 | @Override
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154 | public boolean equals(Object other)
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155 | {
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156 | if (other instanceof Point) {
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157 | Point p = (Point) other;
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158 | return this.x == p.x && this.y == p.y;
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159 | }
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160 | return false;
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161 | }
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162 |
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163 | /** Gets the x-coordinate of this point. */
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164 | public int getX()
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165 | {
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166 | return x;
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167 | }
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168 |
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169 | /** Gets the y-coordinate of this point. */
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170 | public int getY()
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171 | {
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172 | return y;
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173 | }
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174 |
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175 | @Override
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176 | public Point clone()
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177 | {
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178 | return new Point(this);
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179 | }
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180 |
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181 | /** Gets a point representing the difference between the two given points
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182 | (returned point should be treated as a vector). */
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183 | public static Point difference(Point p1, Point p2)
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184 | {
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185 | if (p1 == null || p2 == null) return null;
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186 | return new Point(p1.x - p2.x, p1.y - p2.y);
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187 | }
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188 |
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189 | /** Calculates the dot-product between two lines that share a common point. */
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190 | public static double dotProduct(Point commonPoint, Point lineEnd1, Point lineEnd2)
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191 | {
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192 | if (commonPoint == null || lineEnd1 == null || lineEnd2 == null) return 0.0;
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193 |
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194 | Point p1 = new Point(lineEnd1.x - commonPoint.x, lineEnd1.y - commonPoint.y);
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195 | Point p2 = new Point(lineEnd2.x - commonPoint.x, lineEnd2.y - commonPoint.y);
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196 | return p1.x * p2.x + p1.y * p2.y;
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197 | }
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198 |
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199 | @Override
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200 | public String toString()
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201 | {
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202 | return "(" + x + ", " + y + ")";
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203 | }
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204 | }
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