001// Copyright (c) FIRST and other WPILib contributors.
002// Open Source Software; you can modify and/or share it under the terms of
003// the WPILib BSD license file in the root directory of this project.
004
005package edu.wpi.first.math.geometry;
006
007import static edu.wpi.first.units.Units.Meters;
008
009import com.fasterxml.jackson.annotation.JsonAutoDetect;
010import com.fasterxml.jackson.annotation.JsonCreator;
011import com.fasterxml.jackson.annotation.JsonIgnoreProperties;
012import com.fasterxml.jackson.annotation.JsonProperty;
013import edu.wpi.first.math.MathUtil;
014import edu.wpi.first.math.VecBuilder;
015import edu.wpi.first.math.Vector;
016import edu.wpi.first.math.geometry.proto.Translation3dProto;
017import edu.wpi.first.math.geometry.struct.Translation3dStruct;
018import edu.wpi.first.math.interpolation.Interpolatable;
019import edu.wpi.first.math.numbers.N3;
020import edu.wpi.first.units.Distance;
021import edu.wpi.first.units.Measure;
022import edu.wpi.first.util.protobuf.ProtobufSerializable;
023import edu.wpi.first.util.struct.StructSerializable;
024import java.util.Objects;
025
026/**
027 * Represents a translation in 3D space. This object can be used to represent a point or a vector.
028 *
029 * <p>This assumes that you are using conventional mathematical axes. When the robot is at the
030 * origin facing in the positive X direction, forward is positive X, left is positive Y, and up is
031 * positive Z.
032 */
033@JsonIgnoreProperties(ignoreUnknown = true)
034@JsonAutoDetect(getterVisibility = JsonAutoDetect.Visibility.NONE)
035public class Translation3d
036    implements Interpolatable<Translation3d>, ProtobufSerializable, StructSerializable {
037  /**
038   * A preallocated Translation3d representing the origin.
039   *
040   * <p>This exists to avoid allocations for common translations.
041   */
042  public static final Translation3d kZero = new Translation3d();
043
044  private final double m_x;
045  private final double m_y;
046  private final double m_z;
047
048  /** Constructs a Translation3d with X, Y, and Z components equal to zero. */
049  public Translation3d() {
050    this(0.0, 0.0, 0.0);
051  }
052
053  /**
054   * Constructs a Translation3d with the X, Y, and Z components equal to the provided values.
055   *
056   * @param x The x component of the translation.
057   * @param y The y component of the translation.
058   * @param z The z component of the translation.
059   */
060  @JsonCreator
061  public Translation3d(
062      @JsonProperty(required = true, value = "x") double x,
063      @JsonProperty(required = true, value = "y") double y,
064      @JsonProperty(required = true, value = "z") double z) {
065    m_x = x;
066    m_y = y;
067    m_z = z;
068  }
069
070  /**
071   * Constructs a Translation3d with the provided distance and angle. This is essentially converting
072   * from polar coordinates to Cartesian coordinates.
073   *
074   * @param distance The distance from the origin to the end of the translation.
075   * @param angle The angle between the x-axis and the translation vector.
076   */
077  public Translation3d(double distance, Rotation3d angle) {
078    final var rectangular = new Translation3d(distance, 0.0, 0.0).rotateBy(angle);
079    m_x = rectangular.getX();
080    m_y = rectangular.getY();
081    m_z = rectangular.getZ();
082  }
083
084  /**
085   * Constructs a Translation3d with the X, Y, and Z components equal to the provided values. The
086   * components will be converted to and tracked as meters.
087   *
088   * @param x The x component of the translation.
089   * @param y The y component of the translation.
090   * @param z The z component of the translation.
091   */
092  public Translation3d(Measure<Distance> x, Measure<Distance> y, Measure<Distance> z) {
093    this(x.in(Meters), y.in(Meters), z.in(Meters));
094  }
095
096  /**
097   * Constructs a Translation3d from the provided translation vector's X, Y, and Z components. The
098   * values are assumed to be in meters.
099   *
100   * @param vector The translation vector to represent.
101   */
102  public Translation3d(Vector<N3> vector) {
103    this(vector.get(0), vector.get(1), vector.get(2));
104  }
105
106  /**
107   * Calculates the distance between two translations in 3D space.
108   *
109   * <p>The distance between translations is defined as √((x₂−x₁)²+(y₂−y₁)²+(z₂−z₁)²).
110   *
111   * @param other The translation to compute the distance to.
112   * @return The distance between the two translations.
113   */
114  public double getDistance(Translation3d other) {
115    return Math.sqrt(
116        Math.pow(other.m_x - m_x, 2) + Math.pow(other.m_y - m_y, 2) + Math.pow(other.m_z - m_z, 2));
117  }
118
119  /**
120   * Returns the X component of the translation.
121   *
122   * @return The X component of the translation.
123   */
124  @JsonProperty
125  public double getX() {
126    return m_x;
127  }
128
129  /**
130   * Returns the Y component of the translation.
131   *
132   * @return The Y component of the translation.
133   */
134  @JsonProperty
135  public double getY() {
136    return m_y;
137  }
138
139  /**
140   * Returns the Z component of the translation.
141   *
142   * @return The Z component of the translation.
143   */
144  @JsonProperty
145  public double getZ() {
146    return m_z;
147  }
148
149  /**
150   * Returns a vector representation of this translation.
151   *
152   * @return A Vector representation of this translation.
153   */
154  public Vector<N3> toVector() {
155    return VecBuilder.fill(m_x, m_y, m_z);
156  }
157
158  /**
159   * Returns the norm, or distance from the origin to the translation.
160   *
161   * @return The norm of the translation.
162   */
163  public double getNorm() {
164    return Math.sqrt(m_x * m_x + m_y * m_y + m_z * m_z);
165  }
166
167  /**
168   * Applies a rotation to the translation in 3D space.
169   *
170   * <p>For example, rotating a Translation3d of &lt;2, 0, 0&gt; by 90 degrees around the Z axis
171   * will return a Translation3d of &lt;0, 2, 0&gt;.
172   *
173   * @param other The rotation to rotate the translation by.
174   * @return The new rotated translation.
175   */
176  public Translation3d rotateBy(Rotation3d other) {
177    final var p = new Quaternion(0.0, m_x, m_y, m_z);
178    final var qprime = other.getQuaternion().times(p).times(other.getQuaternion().inverse());
179    return new Translation3d(qprime.getX(), qprime.getY(), qprime.getZ());
180  }
181
182  /**
183   * Returns a Translation2d representing this Translation3d projected into the X-Y plane.
184   *
185   * @return A Translation2d representing this Translation3d projected into the X-Y plane.
186   */
187  public Translation2d toTranslation2d() {
188    return new Translation2d(m_x, m_y);
189  }
190
191  /**
192   * Returns the sum of two translations in 3D space.
193   *
194   * <p>For example, Translation3d(1.0, 2.5, 3.5) + Translation3d(2.0, 5.5, 7.5) =
195   * Translation3d{3.0, 8.0, 11.0).
196   *
197   * @param other The translation to add.
198   * @return The sum of the translations.
199   */
200  public Translation3d plus(Translation3d other) {
201    return new Translation3d(m_x + other.m_x, m_y + other.m_y, m_z + other.m_z);
202  }
203
204  /**
205   * Returns the difference between two translations.
206   *
207   * <p>For example, Translation3d(5.0, 4.0, 3.0) - Translation3d(1.0, 2.0, 3.0) =
208   * Translation3d(4.0, 2.0, 0.0).
209   *
210   * @param other The translation to subtract.
211   * @return The difference between the two translations.
212   */
213  public Translation3d minus(Translation3d other) {
214    return new Translation3d(m_x - other.m_x, m_y - other.m_y, m_z - other.m_z);
215  }
216
217  /**
218   * Returns the inverse of the current translation. This is equivalent to negating all components
219   * of the translation.
220   *
221   * @return The inverse of the current translation.
222   */
223  public Translation3d unaryMinus() {
224    return new Translation3d(-m_x, -m_y, -m_z);
225  }
226
227  /**
228   * Returns the translation multiplied by a scalar.
229   *
230   * <p>For example, Translation3d(2.0, 2.5, 4.5) * 2 = Translation3d(4.0, 5.0, 9.0).
231   *
232   * @param scalar The scalar to multiply by.
233   * @return The scaled translation.
234   */
235  public Translation3d times(double scalar) {
236    return new Translation3d(m_x * scalar, m_y * scalar, m_z * scalar);
237  }
238
239  /**
240   * Returns the translation divided by a scalar.
241   *
242   * <p>For example, Translation3d(2.0, 2.5, 4.5) / 2 = Translation3d(1.0, 1.25, 2.25).
243   *
244   * @param scalar The scalar to multiply by.
245   * @return The reference to the new mutated object.
246   */
247  public Translation3d div(double scalar) {
248    return new Translation3d(m_x / scalar, m_y / scalar, m_z / scalar);
249  }
250
251  @Override
252  public String toString() {
253    return String.format("Translation3d(X: %.2f, Y: %.2f, Z: %.2f)", m_x, m_y, m_z);
254  }
255
256  /**
257   * Checks equality between this Translation3d and another object.
258   *
259   * @param obj The other object.
260   * @return Whether the two objects are equal or not.
261   */
262  @Override
263  public boolean equals(Object obj) {
264    if (obj instanceof Translation3d) {
265      return Math.abs(((Translation3d) obj).m_x - m_x) < 1E-9
266          && Math.abs(((Translation3d) obj).m_y - m_y) < 1E-9
267          && Math.abs(((Translation3d) obj).m_z - m_z) < 1E-9;
268    }
269    return false;
270  }
271
272  @Override
273  public int hashCode() {
274    return Objects.hash(m_x, m_y, m_z);
275  }
276
277  @Override
278  public Translation3d interpolate(Translation3d endValue, double t) {
279    return new Translation3d(
280        MathUtil.interpolate(this.getX(), endValue.getX(), t),
281        MathUtil.interpolate(this.getY(), endValue.getY(), t),
282        MathUtil.interpolate(this.getZ(), endValue.getZ(), t));
283  }
284
285  /** Translation3d protobuf for serialization. */
286  public static final Translation3dProto proto = new Translation3dProto();
287
288  /** Translation3d struct for serialization. */
289  public static final Translation3dStruct struct = new Translation3dStruct();
290}