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| 1 // Copyright 2013 The Chromium Authors. All rights reserved. | |
| 2 // Use of this source code is governed by a BSD-style license that can be | |
| 3 // found in the LICENSE file. | |
| 4 | |
| 5 #include <algorithm> | |
| 6 #include <cmath> | |
| 7 #include <limits> | |
| 8 #include <vector> | |
| 9 | |
| 10 #include "cc/transform_operations.h" | |
| 11 | |
| 12 using WebKit::WebTransformationMatrix; | |
| 13 | |
| 14 namespace { | |
| 15 const double EPSILON = 1e-4; | |
|
jamesr
2013/01/14 22:03:00
use chromium style kEpsilon
it's pretty weird for
Ian Vollick
2013/01/15 15:02:38
I used this epsilon when checking if two rotations
| |
| 16 } | |
| 17 | |
| 18 namespace cc { | |
| 19 | |
| 20 struct TransformOperation { | |
| 21 enum Type { | |
| 22 TransformOperationTranslate, | |
| 23 TransformOperationRotate, | |
| 24 TransformOperationScale, | |
| 25 TransformOperationSkew, | |
| 26 TransformOperationPerspective, | |
| 27 TransformOperationMatrix, | |
| 28 TransformOperationIdentity | |
| 29 }; | |
| 30 | |
| 31 TransformOperation() | |
| 32 : type(TransformOperationIdentity) { | |
|
jamesr
2013/01/14 22:03:00
this should be indented 4 spaces from the previous
| |
| 33 } | |
| 34 | |
| 35 Type type; | |
| 36 WebKit::WebTransformationMatrix matrix; | |
| 37 | |
| 38 union { | |
| 39 double perspective_depth; | |
| 40 | |
| 41 struct { | |
| 42 double x, y; | |
| 43 } skew; | |
| 44 | |
| 45 struct { | |
| 46 double x, y, z; | |
| 47 } scale; | |
| 48 | |
| 49 struct { | |
| 50 double x, y, z; | |
| 51 } translate; | |
| 52 | |
| 53 struct { | |
| 54 struct { | |
| 55 double x, y, z; | |
| 56 } axis; | |
| 57 | |
| 58 double angle; | |
| 59 } rotate; | |
| 60 }; | |
| 61 | |
| 62 bool IsIdentity() const { return matrix.isIdentity(); } | |
| 63 }; | |
| 64 | |
| 65 TransformOperations::TransformOperations() { | |
| 66 Initialize(); | |
| 67 } | |
| 68 | |
| 69 TransformOperations::TransformOperations(const TransformOperations& other) { | |
| 70 Initialize(other); | |
| 71 } | |
| 72 | |
| 73 TransformOperations::~TransformOperations() { | |
| 74 } | |
| 75 | |
| 76 struct TransformOperationsPrivate { | |
| 77 std::vector<TransformOperation> operations; | |
| 78 }; | |
| 79 | |
| 80 WebTransformationMatrix TransformOperations::Apply() const { | |
| 81 WebTransformationMatrix to_return; | |
| 82 for (size_t i = 0; i < private_->operations.size(); ++i) | |
| 83 to_return.multiply(private_->operations[i].matrix); | |
| 84 return to_return; | |
| 85 } | |
| 86 | |
| 87 static bool IsIdentity(const TransformOperation* operation) { | |
| 88 return !operation || operation->IsIdentity(); | |
| 89 } | |
| 90 | |
| 91 static bool ShareSameAxis(const TransformOperation* from, | |
| 92 const TransformOperation* to, | |
| 93 double& axis_x, double& axis_y, double& axis_z, | |
| 94 double& angle_from) { | |
| 95 if (IsIdentity(from) && IsIdentity(to)) | |
| 96 return false; | |
| 97 | |
| 98 if (IsIdentity(from) && !IsIdentity(to)) { | |
| 99 axis_x = to->rotate.axis.x; | |
| 100 axis_y = to->rotate.axis.y; | |
| 101 axis_z = to->rotate.axis.z; | |
| 102 angle_from = 0; | |
| 103 return true; | |
| 104 } | |
| 105 | |
| 106 if (!IsIdentity(from) && IsIdentity(to)) { | |
| 107 axis_x = from->rotate.axis.x; | |
| 108 axis_y = from->rotate.axis.y; | |
| 109 axis_z = from->rotate.axis.z; | |
| 110 angle_from = from->rotate.angle; | |
| 111 return true; | |
| 112 } | |
| 113 | |
| 114 double length_2 = from->rotate.axis.x * from->rotate.axis.x + | |
| 115 from->rotate.axis.y * from->rotate.axis.y + | |
| 116 from->rotate.axis.z * from->rotate.axis.z; | |
| 117 double other_length_2 = to->rotate.axis.x * to->rotate.axis.x + | |
| 118 to->rotate.axis.y * to->rotate.axis.y + | |
| 119 to->rotate.axis.z * to->rotate.axis.z; | |
| 120 | |
| 121 if (length_2 <= EPSILON || other_length_2 <= EPSILON) | |
| 122 return false; | |
| 123 | |
| 124 double dot = to->rotate.axis.x * from->rotate.axis.x + | |
| 125 to->rotate.axis.y * from->rotate.axis.y + | |
| 126 to->rotate.axis.z * from->rotate.axis.z; | |
| 127 double error = std::fabs(1.0 - (dot * dot) / (length_2 * other_length_2)); | |
| 128 bool result = error < EPSILON; | |
| 129 if (result) { | |
| 130 axis_x = to->rotate.axis.x; | |
| 131 axis_y = to->rotate.axis.y; | |
| 132 axis_z = to->rotate.axis.z; | |
| 133 // If the axes are pointing in opposite directions, we need to reverse | |
| 134 // the angle. | |
| 135 angle_from = dot > 0 ? from->rotate.angle : -from->rotate.angle; | |
| 136 } | |
| 137 return result; | |
| 138 } | |
| 139 | |
| 140 static double BlendDoubles(double from, double to, double progress) { | |
| 141 return from * (1 - progress) + to * progress; | |
| 142 } | |
| 143 | |
| 144 static bool BlendTransformOperations(const TransformOperation* from, | |
| 145 const TransformOperation* to, | |
| 146 double progress, | |
| 147 WebTransformationMatrix& result) { | |
| 148 if (IsIdentity(from) && IsIdentity(to)) | |
| 149 return true; | |
| 150 | |
| 151 TransformOperation::Type interpolation_type = | |
| 152 TransformOperation::TransformOperationIdentity; | |
| 153 if (IsIdentity(to)) | |
| 154 interpolation_type = from->type; | |
| 155 else | |
| 156 interpolation_type = to->type; | |
| 157 | |
| 158 switch (interpolation_type) { | |
| 159 case TransformOperation::TransformOperationTranslate: { | |
| 160 double from_x = IsIdentity(from) ? 0 : from->translate.x; | |
| 161 double from_y = IsIdentity(from) ? 0 : from->translate.y; | |
| 162 double from_z = IsIdentity(from) ? 0 : from->translate.z; | |
| 163 double to_x = IsIdentity(to) ? 0 : to->translate.x; | |
| 164 double to_y = IsIdentity(to) ? 0 : to->translate.y; | |
| 165 double to_z = IsIdentity(to) ? 0 : to->translate.z; | |
| 166 result.translate3d(BlendDoubles(from_x, to_x, progress), | |
| 167 BlendDoubles(from_y, to_y, progress), | |
| 168 BlendDoubles(from_z, to_z, progress)); | |
| 169 break; | |
| 170 } | |
| 171 case TransformOperation::TransformOperationRotate: { | |
| 172 double axis_x = 0; | |
| 173 double axis_y = 0; | |
| 174 double axis_z = 1; | |
| 175 double from_angle = 0; | |
| 176 double to_angle = IsIdentity(to) ? 0 : to->rotate.angle; | |
| 177 if (ShareSameAxis(from, to, axis_x, axis_y, axis_z, from_angle)) | |
| 178 result.rotate3d(axis_x, axis_y, axis_z, | |
| 179 BlendDoubles(from_angle, to_angle, progress)); | |
| 180 else { | |
| 181 WebTransformationMatrix to_matrix; | |
| 182 if (!IsIdentity(to)) | |
| 183 to_matrix = to->matrix; | |
| 184 WebTransformationMatrix from_matrix; | |
| 185 if (!IsIdentity(from)) | |
| 186 from_matrix = from->matrix; | |
| 187 result = to_matrix; | |
| 188 if (!result.blend(from_matrix, progress)) | |
| 189 return false; | |
| 190 } | |
| 191 break; | |
| 192 } | |
| 193 case TransformOperation::TransformOperationScale: { | |
| 194 double from_x = IsIdentity(from) ? 1 : from->scale.x; | |
| 195 double from_y = IsIdentity(from) ? 1 : from->scale.y; | |
| 196 double from_z = IsIdentity(from) ? 1 : from->scale.z; | |
| 197 double to_x = IsIdentity(to) ? 1 : to->scale.x; | |
| 198 double to_y = IsIdentity(to) ? 1 : to->scale.y; | |
| 199 double to_z = IsIdentity(to) ? 1 : to->scale.z; | |
| 200 result.scale3d(BlendDoubles(from_x, to_x, progress), | |
| 201 BlendDoubles(from_y, to_y, progress), | |
| 202 BlendDoubles(from_z, to_z, progress)); | |
| 203 break; | |
| 204 } | |
| 205 case TransformOperation::TransformOperationSkew: { | |
| 206 double from_x = IsIdentity(from) ? 0 : from->skew.x; | |
| 207 double from_y = IsIdentity(from) ? 0 : from->skew.y; | |
| 208 double to_x = IsIdentity(to) ? 0 : to->skew.x; | |
| 209 double to_y = IsIdentity(to) ? 0 : to->skew.y; | |
| 210 result.skewX(BlendDoubles(from_x, to_x, progress)); | |
| 211 result.skewY(BlendDoubles(from_y, to_y, progress)); | |
| 212 break; | |
| 213 } | |
| 214 case TransformOperation::TransformOperationPerspective: { | |
| 215 double from_perspective_depth = IsIdentity(from) ? | |
| 216 std::numeric_limits<double>::max() : from->perspective_depth; | |
| 217 double to_perspective_depth = IsIdentity(to) ? | |
| 218 std::numeric_limits<double>::max() : to->perspective_depth; | |
| 219 result.applyPerspective( | |
| 220 BlendDoubles(from_perspective_depth, to_perspective_depth, progress)); | |
| 221 break; | |
| 222 } | |
| 223 case TransformOperation::TransformOperationMatrix: { | |
| 224 WebTransformationMatrix to_matrix; | |
| 225 if (!IsIdentity(to)) | |
| 226 to_matrix = to->matrix; | |
| 227 WebTransformationMatrix from_matrix; | |
| 228 if (!IsIdentity(from)) | |
| 229 from_matrix = from->matrix; | |
| 230 result = to_matrix; | |
| 231 if (!result.blend(from_matrix, progress)) | |
| 232 return false; | |
| 233 break; | |
| 234 } | |
| 235 case TransformOperation::TransformOperationIdentity: | |
| 236 // Do nothing. | |
| 237 break; | |
| 238 } | |
| 239 | |
| 240 return true; | |
| 241 } | |
| 242 | |
| 243 WebTransformationMatrix TransformOperations::Blend( | |
| 244 const TransformOperations& from, double progress) const { | |
| 245 WebTransformationMatrix to_return; | |
| 246 BlendInternal(from, progress, to_return); | |
| 247 return to_return; | |
| 248 } | |
| 249 | |
| 250 bool TransformOperations::MatchesTypes(const TransformOperations& other) const { | |
| 251 if (IsIdentity() || other.IsIdentity()) | |
| 252 return true; | |
| 253 | |
| 254 if (private_->operations.size() != other.private_->operations.size()) | |
| 255 return false; | |
| 256 | |
| 257 for (size_t i = 0; i < private_->operations.size(); ++i) { | |
| 258 if (private_->operations[i].type != other.private_->operations[i].type | |
| 259 && !private_->operations[i].IsIdentity() | |
| 260 && !other.private_->operations[i].IsIdentity()) | |
| 261 return false; | |
| 262 } | |
| 263 | |
| 264 return true; | |
| 265 } | |
| 266 | |
| 267 bool TransformOperations::CanBlendWith( | |
| 268 const TransformOperations& other) const { | |
| 269 WebTransformationMatrix dummy; | |
| 270 return BlendInternal(other, 0.5, dummy); | |
| 271 } | |
| 272 | |
| 273 void TransformOperations::AppendTranslate(double x, double y, double z) { | |
| 274 TransformOperation to_add; | |
| 275 to_add.matrix.translate3d(x, y, z); | |
| 276 to_add.type = TransformOperation::TransformOperationTranslate; | |
| 277 to_add.translate.x = x; | |
| 278 to_add.translate.y = y; | |
| 279 to_add.translate.z = z; | |
| 280 private_->operations.push_back(to_add); | |
| 281 } | |
| 282 | |
| 283 void TransformOperations::AppendRotate(double x, double y, double z, | |
| 284 double degrees) { | |
| 285 TransformOperation to_add; | |
| 286 to_add.matrix.rotate3d(x, y, z, degrees); | |
| 287 to_add.type = TransformOperation::TransformOperationRotate; | |
| 288 to_add.rotate.axis.x = x; | |
| 289 to_add.rotate.axis.y = y; | |
| 290 to_add.rotate.axis.z = z; | |
| 291 to_add.rotate.angle = degrees; | |
| 292 private_->operations.push_back(to_add); | |
| 293 } | |
| 294 | |
| 295 void TransformOperations::AppendScale(double x, double y, double z) { | |
| 296 TransformOperation to_add; | |
| 297 to_add.matrix.scale3d(x, y, z); | |
| 298 to_add.type = TransformOperation::TransformOperationScale; | |
| 299 to_add.scale.x = x; | |
| 300 to_add.scale.y = y; | |
| 301 to_add.scale.z = z; | |
| 302 private_->operations.push_back(to_add); | |
| 303 } | |
| 304 | |
| 305 void TransformOperations::AppendSkew(double x, double y) { | |
| 306 TransformOperation to_add; | |
| 307 to_add.matrix.skewX(x); | |
| 308 to_add.matrix.skewY(y); | |
| 309 to_add.type = TransformOperation::TransformOperationSkew; | |
| 310 to_add.skew.x = x; | |
| 311 to_add.skew.y = y; | |
| 312 private_->operations.push_back(to_add); | |
| 313 } | |
| 314 | |
| 315 void TransformOperations::AppendPerspective(double depth) { | |
| 316 TransformOperation to_add; | |
| 317 to_add.matrix.applyPerspective(depth); | |
| 318 to_add.type = TransformOperation::TransformOperationPerspective; | |
| 319 to_add.perspective_depth = depth; | |
| 320 private_->operations.push_back(to_add); | |
| 321 } | |
| 322 | |
| 323 void TransformOperations::AppendMatrix(const WebTransformationMatrix& matrix) { | |
| 324 TransformOperation to_add; | |
| 325 to_add.matrix = matrix; | |
| 326 to_add.type = TransformOperation::TransformOperationMatrix; | |
| 327 private_->operations.push_back(to_add); | |
| 328 } | |
| 329 | |
| 330 void TransformOperations::AppendIdentity() { | |
| 331 private_->operations.push_back(TransformOperation()); | |
| 332 } | |
| 333 | |
| 334 bool TransformOperations::IsIdentity() const { | |
| 335 for (size_t i = 0; i < private_->operations.size(); ++i) { | |
| 336 if (!private_->operations[i].IsIdentity()) | |
| 337 return false; | |
| 338 } | |
| 339 return true; | |
| 340 } | |
| 341 | |
| 342 void TransformOperations::Initialize() { | |
| 343 private_.reset(new TransformOperationsPrivate); | |
| 344 } | |
| 345 | |
| 346 void TransformOperations::Initialize(const TransformOperations& other) { | |
| 347 if (private_.get() != other.private_.get()) | |
| 348 private_.reset(new TransformOperationsPrivate(*other.private_.get())); | |
| 349 else | |
| 350 Initialize(); | |
| 351 } | |
| 352 | |
| 353 bool TransformOperations::BlendInternal(const TransformOperations& from, | |
| 354 double progress, | |
| 355 WebTransformationMatrix& result) const { | |
| 356 bool from_identity = from.IsIdentity(); | |
| 357 bool to_identity = IsIdentity(); | |
| 358 if (from_identity && to_identity) | |
| 359 return true; | |
| 360 | |
| 361 if (MatchesTypes(from)) { | |
| 362 size_t num_operations = | |
| 363 std::max(from_identity ? 0 : from.private_->operations.size(), | |
| 364 to_identity ? 0 : private_->operations.size()); | |
| 365 for (size_t i = 0; i < num_operations; ++i) { | |
| 366 WebTransformationMatrix blended; | |
| 367 if (!BlendTransformOperations( | |
| 368 from_identity ? 0 : &from.private_->operations[i], | |
| 369 to_identity ? 0 : &private_->operations[i], | |
| 370 progress, | |
| 371 blended)) | |
| 372 return false; | |
| 373 result.multiply(blended); | |
| 374 } | |
| 375 return true; | |
| 376 } | |
| 377 | |
| 378 result = Apply(); | |
| 379 WebTransformationMatrix from_transform = from.Apply(); | |
| 380 return result.blend(from_transform, progress); | |
| 381 } | |
| 382 | |
| 383 } // namespace cc | |
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