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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; |
| 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) { |
| 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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