1 /* Copyright 2002-2024 CS GROUP 2 * Licensed to CS GROUP (CS) under one or more 3 * contributor license agreements. See the NOTICE file distributed with 4 * this work for additional information regarding copyright ownership. 5 * CS licenses this file to You under the Apache License, Version 2.0 6 * (the "License"); you may not use this file except in compliance with 7 * the License. You may obtain a copy of the License at 8 * 9 * http://www.apache.org/licenses/LICENSE-2.0 10 * 11 * Unless required by applicable law or agreed to in writing, software 12 * distributed under the License is distributed on an "AS IS" BASIS, 13 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 14 * See the License for the specific language governing permissions and 15 * limitations under the License. 16 */ 17 package org.orekit.frames; 18 19 import java.io.Serializable; 20 import java.util.function.BiFunction; 21 import java.util.function.Function; 22 23 import org.hipparchus.CalculusFieldElement; 24 import org.hipparchus.FieldElement; 25 import org.orekit.errors.OrekitIllegalArgumentException; 26 import org.orekit.errors.OrekitMessages; 27 import org.orekit.time.AbsoluteDate; 28 import org.orekit.time.FieldAbsoluteDate; 29 30 31 /** Tridimensional references frames class. 32 * 33 * <h2> Frame Presentation </h2> 34 * <p>This class is the base class for all frames in OREKIT. The frames are 35 * linked together in a tree with some specific frame chosen as the root of the tree. 36 * Each frame is defined by {@link Transform transforms} combining any number 37 * of translations and rotations from a reference frame which is its 38 * parent frame in the tree structure.</p> 39 * <p>When we say a {@link Transform transform} t is <em>from frame<sub>A</sub> 40 * to frame<sub>B</sub></em>, we mean that if the coordinates of some absolute 41 * vector (say the direction of a distant star for example) has coordinates 42 * u<sub>A</sub> in frame<sub>A</sub> and u<sub>B</sub> in frame<sub>B</sub>, 43 * then u<sub>B</sub>={@link 44 * Transform#transformVector(org.hipparchus.geometry.euclidean.threed.Vector3D) 45 * t.transformVector(u<sub>A</sub>)}. 46 * <p>The transforms may be constant or varying, depending on the implementation of 47 * the {@link TransformProvider transform provider} used to define the frame. For simple 48 * fixed transforms, using {@link FixedTransformProvider} is sufficient. For varying 49 * transforms (time-dependent or telemetry-based for example), it may be useful to define 50 * specific implementations of {@link TransformProvider transform provider}.</p> 51 * 52 * @author Guylaine Prat 53 * @author Luc Maisonobe 54 * @author Pascal Parraud 55 */ 56 public class Frame implements Serializable { 57 58 /** Serializable UID. */ 59 private static final long serialVersionUID = -6981146543760234087L; 60 61 /** Parent frame (only the root frame doesn't have a parent). */ 62 private final Frame parent; 63 64 /** Depth of the frame with respect to tree root. */ 65 private final int depth; 66 67 /** Provider for transform from parent frame to instance. */ 68 private final TransformProvider transformProvider; 69 70 /** Instance name. */ 71 private final String name; 72 73 /** Indicator for pseudo-inertial frames. */ 74 private final boolean pseudoInertial; 75 76 /** Private constructor used only for the root frame. 77 * @param name name of the frame 78 * @param pseudoInertial true if frame is considered pseudo-inertial 79 * (i.e. suitable for propagating orbit) 80 */ 81 private Frame(final String name, final boolean pseudoInertial) { 82 parent = null; 83 depth = 0; 84 transformProvider = new FixedTransformProvider(Transform.IDENTITY); 85 this.name = name; 86 this.pseudoInertial = pseudoInertial; 87 } 88 89 /** Build a non-inertial frame from its transform with respect to its parent. 90 * <p>calling this constructor is equivalent to call 91 * <code>{link {@link #Frame(Frame, Transform, String, boolean) 92 * Frame(parent, transform, name, false)}</code>.</p> 93 * @param parent parent frame (must be non-null) 94 * @param transform transform from parent frame to instance 95 * @param name name of the frame 96 * @exception IllegalArgumentException if the parent frame is null 97 */ 98 public Frame(final Frame parent, final Transform transform, final String name) 99 throws IllegalArgumentException { 100 this(parent, transform, name, false); 101 } 102 103 /** Build a non-inertial frame from its transform with respect to its parent. 104 * <p>calling this constructor is equivalent to call 105 * <code>{link {@link #Frame(Frame, Transform, String, boolean) 106 * Frame(parent, transform, name, false)}</code>.</p> 107 * @param parent parent frame (must be non-null) 108 * @param transformProvider provider for transform from parent frame to instance 109 * @param name name of the frame 110 * @exception IllegalArgumentException if the parent frame is null 111 */ 112 public Frame(final Frame parent, final TransformProvider transformProvider, final String name) 113 throws IllegalArgumentException { 114 this(parent, transformProvider, name, false); 115 } 116 117 /** Build a frame from its transform with respect to its parent. 118 * <p>The convention for the transform is that it is from parent 119 * frame to instance. This means that the two following frames 120 * are similar:</p> 121 * <pre> 122 * Frame frame1 = new Frame(FramesFactory.getGCRF(), new Transform(t1, t2)); 123 * Frame frame2 = new Frame(new Frame(FramesFactory.getGCRF(), t1), t2); 124 * </pre> 125 * @param parent parent frame (must be non-null) 126 * @param transform transform from parent frame to instance 127 * @param name name of the frame 128 * @param pseudoInertial true if frame is considered pseudo-inertial 129 * (i.e. suitable for propagating orbit) 130 * @exception IllegalArgumentException if the parent frame is null 131 */ 132 public Frame(final Frame parent, final Transform transform, final String name, 133 final boolean pseudoInertial) 134 throws IllegalArgumentException { 135 this(parent, new FixedTransformProvider(transform), name, pseudoInertial); 136 } 137 138 /** Build a frame from its transform with respect to its parent. 139 * <p>The convention for the transform is that it is from parent 140 * frame to instance. This means that the two following frames 141 * are similar:</p> 142 * <pre> 143 * Frame frame1 = new Frame(FramesFactory.getGCRF(), new Transform(t1, t2)); 144 * Frame frame2 = new Frame(new Frame(FramesFactory.getGCRF(), t1), t2); 145 * </pre> 146 * @param parent parent frame (must be non-null) 147 * @param transformProvider provider for transform from parent frame to instance 148 * @param name name of the frame 149 * @param pseudoInertial true if frame is considered pseudo-inertial 150 * (i.e. suitable for propagating orbit) 151 * @exception IllegalArgumentException if the parent frame is null 152 */ 153 public Frame(final Frame parent, final TransformProvider transformProvider, final String name, 154 final boolean pseudoInertial) 155 throws IllegalArgumentException { 156 157 if (parent == null) { 158 throw new OrekitIllegalArgumentException(OrekitMessages.NULL_PARENT_FOR_FRAME, name); 159 } 160 this.parent = parent; 161 this.depth = parent.depth + 1; 162 this.transformProvider = transformProvider; 163 this.name = name; 164 this.pseudoInertial = pseudoInertial; 165 166 } 167 168 /** Get the name. 169 * @return the name 170 */ 171 public String getName() { 172 return this.name; 173 } 174 175 /** Check if the frame is pseudo-inertial. 176 * <p>Pseudo-inertial frames are frames that do have a linear motion and 177 * either do not rotate or rotate at a very low rate resulting in 178 * neglectible inertial forces. This means they are suitable for orbit 179 * definition and propagation using Newtonian mechanics. Frames that are 180 * <em>not</em> pseudo-inertial are <em>not</em> suitable for orbit 181 * definition and propagation.</p> 182 * @return true if frame is pseudo-inertial 183 */ 184 public boolean isPseudoInertial() { 185 return pseudoInertial; 186 } 187 188 /** New definition of the java.util toString() method. 189 * @return the name 190 */ 191 public String toString() { 192 return this.name; 193 } 194 195 /** Get the parent frame. 196 * @return parent frame 197 */ 198 public Frame getParent() { 199 return parent; 200 } 201 202 /** Get the depth of the frame. 203 * <p> 204 * The depth of a frame is the number of parents frame between 205 * it and the frames tree root. It is 0 for the root frame, and 206 * the depth of a frame is the depth of its parent frame plus one. 207 * </p> 208 * @return depth of the frame 209 */ 210 public int getDepth() { 211 return depth; 212 } 213 214 /** Get the n<sup>th</sup> ancestor of the frame. 215 * @param n index of the ancestor (0 is the instance, 1 is its parent, 216 * 2 is the parent of its parent...) 217 * @return n<sup>th</sup> ancestor of the frame (must be between 0 218 * and the depth of the frame) 219 * @exception IllegalArgumentException if n is larger than the depth 220 * of the instance 221 */ 222 public Frame getAncestor(final int n) throws IllegalArgumentException { 223 224 // safety check 225 if (n > depth) { 226 throw new OrekitIllegalArgumentException(OrekitMessages.FRAME_NO_NTH_ANCESTOR, 227 name, depth, n); 228 } 229 230 // go upward to find ancestor 231 Frame current = this; 232 for (int i = 0; i < n; ++i) { 233 current = current.parent; 234 } 235 236 return current; 237 238 } 239 240 /** Get the transform from the instance to another frame. 241 * @param destination destination frame to which we want to transform vectors 242 * @param date the date (can be null if it is sure than no date dependent frame is used) 243 * @return transform from the instance to the destination frame 244 */ 245 public Transform getTransformTo(final Frame destination, final AbsoluteDate date) { 246 return getTransformTo( 247 destination, 248 Transform.IDENTITY, 249 frame -> frame.getTransformProvider().getTransform(date), 250 (t1, t2) -> new Transform(date, t1, t2), 251 Transform::getInverse); 252 } 253 254 /** Get the transform from the instance to another frame. 255 * @param destination destination frame to which we want to transform vectors 256 * @param date the date (<em>must</em> be non-null, which is a more stringent condition 257 * * than in {@link #getTransformTo(Frame, FieldAbsoluteDate)}) 258 * @param <T> the type of the field elements 259 * @return transform from the instance to the destination frame 260 */ 261 public <T extends CalculusFieldElement<T>> FieldTransform<T> getTransformTo(final Frame destination, final FieldAbsoluteDate<T> date) { 262 263 return getTransformTo(destination, 264 FieldTransform.getIdentity(date.getField()), 265 frame -> frame.getTransformProvider().getTransform(date), 266 (t1, t2) -> new FieldTransform<>(date, t1, t2), 267 FieldTransform::getInverse); 268 } 269 270 /** 271 * Get the static portion of the transform from the instance to another 272 * frame. The returned transform is static in the sense that it includes 273 * translations and rotations, but not rates. 274 * 275 * <p>This method is often more performant than {@link 276 * #getTransformTo(Frame, AbsoluteDate)} when rates are not needed. 277 * 278 * @param destination destination frame to which we want to transform 279 * vectors 280 * @param date the date (can be null if it is sure than no date 281 * dependent frame is used) 282 * @return static transform from the instance to the destination frame 283 * @since 11.2 284 */ 285 public StaticTransform getStaticTransformTo(final Frame destination, 286 final AbsoluteDate date) { 287 return getTransformTo( 288 destination, 289 StaticTransform.getIdentity(), 290 frame -> frame.getTransformProvider().getStaticTransform(date), 291 (t1, t2) -> StaticTransform.compose(date, t1, t2), 292 StaticTransform::getInverse); 293 } 294 295 /** 296 * Get the static portion of the transform from the instance to another 297 * frame. The returned transform is static in the sense that it includes 298 * translations and rotations, but not rates. 299 * 300 * <p>This method is often more performant than {@link 301 * #getTransformTo(Frame, FieldAbsoluteDate)} when rates are not needed. 302 * 303 * <p>A first check is made on the FieldAbsoluteDate because "fielded" transforms have low-performance.<br> 304 * The date field is checked with {@link FieldElement#isZero()}.<br> 305 * If true, the un-fielded version of the transform computation is used. 306 * 307 * @param <T> type of the elements 308 * @param destination destination frame to which we want to transform 309 * vectors 310 * @param date the date (<em>must</em> be non-null, which is a more stringent condition 311 * than in {@link #getStaticTransformTo(Frame, AbsoluteDate)}) 312 * @return static transform from the instance to the destination frame 313 * @since 12.0 314 */ 315 public <T extends CalculusFieldElement<T>> FieldStaticTransform<T> getStaticTransformTo(final Frame destination, 316 final FieldAbsoluteDate<T> date) { 317 if (date.hasZeroField()) { 318 // If date field is Zero, then use the un-fielded version for performances 319 return FieldStaticTransform.of(date, getStaticTransformTo(destination, date.toAbsoluteDate())); 320 321 } else { 322 // Use classic fielded function 323 return getTransformTo(destination, 324 FieldStaticTransform.getIdentity(date.getField()), 325 frame -> frame.getTransformProvider().getStaticTransform(date), 326 (t1, t2) -> FieldStaticTransform.compose(date, t1, t2), 327 FieldStaticTransform::getInverse); 328 } 329 } 330 331 /** 332 * Generic get transform method that builds the transform from {@code this} 333 * to {@code destination}. 334 * 335 * @param destination destination frame to which we want to transform 336 * vectors 337 * @param identity transform of the given type. 338 * @param getTransform method to get a transform from a frame. 339 * @param compose method to combine two transforms. 340 * @param inverse method to invert a transform. 341 * @param <T> Type of transform returned. 342 * @return composite transform. 343 */ 344 private <T> T getTransformTo(final Frame destination, 345 final T identity, 346 final Function<Frame, T> getTransform, 347 final BiFunction<T, T, T> compose, 348 final Function<T, T> inverse) { 349 350 if (this == destination) { 351 // shortcut for special case that may be frequent 352 return identity; 353 } 354 355 // common ancestor to both frames in the frames tree 356 final Frame common = findCommon(this, destination); 357 358 // transform from common to instance 359 T commonToInstance = identity; 360 for (Frame frame = this; frame != common; frame = frame.parent) { 361 commonToInstance = compose.apply(getTransform.apply(frame), commonToInstance); 362 } 363 364 // transform from destination up to common 365 T commonToDestination = identity; 366 for (Frame frame = destination; frame != common; frame = frame.parent) { 367 commonToDestination = compose.apply(getTransform.apply(frame), commonToDestination); 368 } 369 370 // transform from instance to destination via common 371 return compose.apply(inverse.apply(commonToInstance), commonToDestination); 372 373 } 374 375 /** Get the provider for transform from parent frame to instance. 376 * @return provider for transform from parent frame to instance 377 */ 378 public TransformProvider getTransformProvider() { 379 return transformProvider; 380 } 381 382 /** Find the deepest common ancestor of two frames in the frames tree. 383 * @param from origin frame 384 * @param to destination frame 385 * @return an ancestor frame of both <code>from</code> and <code>to</code> 386 */ 387 private static Frame findCommon(final Frame from, final Frame to) { 388 389 // select deepest frames that could be the common ancestor 390 Frame currentF = from.depth > to.depth ? from.getAncestor(from.depth - to.depth) : from; 391 Frame currentT = from.depth > to.depth ? to : to.getAncestor(to.depth - from.depth); 392 393 // go upward until we find a match 394 while (currentF != currentT) { 395 currentF = currentF.parent; 396 currentT = currentT.parent; 397 } 398 399 return currentF; 400 401 } 402 403 /** Determine if a Frame is a child of another one. 404 * @param potentialAncestor supposed ancestor frame 405 * @return true if the potentialAncestor belongs to the 406 * path from instance to the root frame, excluding itself 407 */ 408 public boolean isChildOf(final Frame potentialAncestor) { 409 if (depth <= potentialAncestor.depth) { 410 return false; 411 } 412 return getAncestor(depth - potentialAncestor.depth) == potentialAncestor; 413 } 414 415 /** Get the unique root frame. 416 * @return the unique instance of the root frame 417 */ 418 public static Frame getRoot() { 419 return LazyRootHolder.INSTANCE; 420 } 421 422 /** Get a new version of the instance, frozen with respect to a reference frame. 423 * <p> 424 * Freezing a frame consist in computing its position and orientation with respect 425 * to another frame at some freezing date and fixing them so they do not depend 426 * on time anymore. This means the frozen frame is fixed with respect to the 427 * reference frame. 428 * </p> 429 * <p> 430 * One typical use of this method is to compute an inertial launch reference frame 431 * by freezing a {@link TopocentricFrame topocentric frame} at launch date 432 * with respect to an inertial frame. Another use is to freeze an equinox-related 433 * celestial frame at a reference epoch date. 434 * </p> 435 * <p> 436 * Only the frame returned by this method is frozen, the instance by itself 437 * is not affected by calling this method and still moves freely. 438 * </p> 439 * @param reference frame with respect to which the instance will be frozen 440 * @param freezingDate freezing date 441 * @param frozenName name of the frozen frame 442 * @return a frozen version of the instance 443 */ 444 public Frame getFrozenFrame(final Frame reference, final AbsoluteDate freezingDate, 445 final String frozenName) { 446 return new Frame(reference, reference.getTransformTo(this, freezingDate).freeze(), 447 frozenName, reference.isPseudoInertial()); 448 } 449 450 // We use the Initialization on demand holder idiom to store 451 // the singletons, as it is both thread-safe, efficient (no 452 // synchronization) and works with all versions of java. 453 454 /** Holder for the root frame singleton. */ 455 private static class LazyRootHolder { 456 457 /** Unique instance. */ 458 private static final Frame INSTANCE = new Frame(Predefined.GCRF.getName(), true) { 459 460 /** Serializable UID. */ 461 private static final long serialVersionUID = -2654403496396721543L; 462 463 /** Replace the instance with a data transfer object for serialization. 464 * <p> 465 * This intermediate class serializes nothing. 466 * </p> 467 * @return data transfer object that will be serialized 468 */ 469 private Object writeReplace() { 470 return new DataTransferObject(); 471 } 472 473 }; 474 475 /** Private constructor. 476 * <p>This class is a utility class, it should neither have a public 477 * nor a default constructor. This private constructor prevents 478 * the compiler from generating one automatically.</p> 479 */ 480 private LazyRootHolder() { 481 } 482 483 } 484 485 /** Internal class used only for serialization. */ 486 private static class DataTransferObject implements Serializable { 487 488 /** Serializable UID. */ 489 private static final long serialVersionUID = 4067764035816491212L; 490 491 /** Simple constructor. 492 */ 493 private DataTransferObject() { 494 } 495 496 /** Replace the deserialized data transfer object with a {@link FactoryManagedFrame}. 497 * @return replacement {@link FactoryManagedFrame} 498 */ 499 private Object readResolve() { 500 return getRoot(); 501 } 502 503 } 504 505 }