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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 kAngleEpsilon = 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 } |
| 67 |
| 68 TransformOperations::TransformOperations(const TransformOperations& other) { |
| 69 operations_ = other.operations_; |
| 70 } |
| 71 |
| 72 TransformOperations::~TransformOperations() { |
| 73 } |
| 74 |
| 75 WebTransformationMatrix TransformOperations::Apply() const { |
| 76 WebTransformationMatrix to_return; |
| 77 for (size_t i = 0; i < operations_.size(); ++i) |
| 78 to_return.multiply(operations_[i].matrix); |
| 79 return to_return; |
| 80 } |
| 81 |
| 82 static bool IsIdentity(const TransformOperation* operation) { |
| 83 return !operation || operation->IsIdentity(); |
| 84 } |
| 85 |
| 86 static bool ShareSameAxis(const TransformOperation* from, |
| 87 const TransformOperation* to, |
| 88 double& axis_x, double& axis_y, double& axis_z, |
| 89 double& angle_from) { |
| 90 if (IsIdentity(from) && IsIdentity(to)) |
| 91 return false; |
| 92 |
| 93 if (IsIdentity(from) && !IsIdentity(to)) { |
| 94 axis_x = to->rotate.axis.x; |
| 95 axis_y = to->rotate.axis.y; |
| 96 axis_z = to->rotate.axis.z; |
| 97 angle_from = 0; |
| 98 return true; |
| 99 } |
| 100 |
| 101 if (!IsIdentity(from) && IsIdentity(to)) { |
| 102 axis_x = from->rotate.axis.x; |
| 103 axis_y = from->rotate.axis.y; |
| 104 axis_z = from->rotate.axis.z; |
| 105 angle_from = from->rotate.angle; |
| 106 return true; |
| 107 } |
| 108 |
| 109 double length_2 = from->rotate.axis.x * from->rotate.axis.x + |
| 110 from->rotate.axis.y * from->rotate.axis.y + |
| 111 from->rotate.axis.z * from->rotate.axis.z; |
| 112 double other_length_2 = to->rotate.axis.x * to->rotate.axis.x + |
| 113 to->rotate.axis.y * to->rotate.axis.y + |
| 114 to->rotate.axis.z * to->rotate.axis.z; |
| 115 |
| 116 if (length_2 <= kAngleEpsilon || other_length_2 <= kAngleEpsilon) |
| 117 return false; |
| 118 |
| 119 double dot = to->rotate.axis.x * from->rotate.axis.x + |
| 120 to->rotate.axis.y * from->rotate.axis.y + |
| 121 to->rotate.axis.z * from->rotate.axis.z; |
| 122 double error = std::fabs(1.0 - (dot * dot) / (length_2 * other_length_2)); |
| 123 bool result = error < kAngleEpsilon; |
| 124 if (result) { |
| 125 axis_x = to->rotate.axis.x; |
| 126 axis_y = to->rotate.axis.y; |
| 127 axis_z = to->rotate.axis.z; |
| 128 // If the axes are pointing in opposite directions, we need to reverse |
| 129 // the angle. |
| 130 angle_from = dot > 0 ? from->rotate.angle : -from->rotate.angle; |
| 131 } |
| 132 return result; |
| 133 } |
| 134 |
| 135 static double BlendDoubles(double from, double to, double progress) { |
| 136 return from * (1 - progress) + to * progress; |
| 137 } |
| 138 |
| 139 static bool BlendTransformOperations(const TransformOperation* from, |
| 140 const TransformOperation* to, |
| 141 double progress, |
| 142 WebTransformationMatrix& result) { |
| 143 if (IsIdentity(from) && IsIdentity(to)) |
| 144 return true; |
| 145 |
| 146 TransformOperation::Type interpolation_type = |
| 147 TransformOperation::TransformOperationIdentity; |
| 148 if (IsIdentity(to)) |
| 149 interpolation_type = from->type; |
| 150 else |
| 151 interpolation_type = to->type; |
| 152 |
| 153 switch (interpolation_type) { |
| 154 case TransformOperation::TransformOperationTranslate: { |
| 155 double from_x = IsIdentity(from) ? 0 : from->translate.x; |
| 156 double from_y = IsIdentity(from) ? 0 : from->translate.y; |
| 157 double from_z = IsIdentity(from) ? 0 : from->translate.z; |
| 158 double to_x = IsIdentity(to) ? 0 : to->translate.x; |
| 159 double to_y = IsIdentity(to) ? 0 : to->translate.y; |
| 160 double to_z = IsIdentity(to) ? 0 : to->translate.z; |
| 161 result.translate3d(BlendDoubles(from_x, to_x, progress), |
| 162 BlendDoubles(from_y, to_y, progress), |
| 163 BlendDoubles(from_z, to_z, progress)); |
| 164 break; |
| 165 } |
| 166 case TransformOperation::TransformOperationRotate: { |
| 167 double axis_x = 0; |
| 168 double axis_y = 0; |
| 169 double axis_z = 1; |
| 170 double from_angle = 0; |
| 171 double to_angle = IsIdentity(to) ? 0 : to->rotate.angle; |
| 172 if (ShareSameAxis(from, to, axis_x, axis_y, axis_z, from_angle)) |
| 173 result.rotate3d(axis_x, axis_y, axis_z, |
| 174 BlendDoubles(from_angle, to_angle, progress)); |
| 175 else { |
| 176 WebTransformationMatrix to_matrix; |
| 177 if (!IsIdentity(to)) |
| 178 to_matrix = to->matrix; |
| 179 WebTransformationMatrix from_matrix; |
| 180 if (!IsIdentity(from)) |
| 181 from_matrix = from->matrix; |
| 182 result = to_matrix; |
| 183 if (!result.blend(from_matrix, progress)) |
| 184 return false; |
| 185 } |
| 186 break; |
| 187 } |
| 188 case TransformOperation::TransformOperationScale: { |
| 189 double from_x = IsIdentity(from) ? 1 : from->scale.x; |
| 190 double from_y = IsIdentity(from) ? 1 : from->scale.y; |
| 191 double from_z = IsIdentity(from) ? 1 : from->scale.z; |
| 192 double to_x = IsIdentity(to) ? 1 : to->scale.x; |
| 193 double to_y = IsIdentity(to) ? 1 : to->scale.y; |
| 194 double to_z = IsIdentity(to) ? 1 : to->scale.z; |
| 195 result.scale3d(BlendDoubles(from_x, to_x, progress), |
| 196 BlendDoubles(from_y, to_y, progress), |
| 197 BlendDoubles(from_z, to_z, progress)); |
| 198 break; |
| 199 } |
| 200 case TransformOperation::TransformOperationSkew: { |
| 201 double from_x = IsIdentity(from) ? 0 : from->skew.x; |
| 202 double from_y = IsIdentity(from) ? 0 : from->skew.y; |
| 203 double to_x = IsIdentity(to) ? 0 : to->skew.x; |
| 204 double to_y = IsIdentity(to) ? 0 : to->skew.y; |
| 205 result.skewX(BlendDoubles(from_x, to_x, progress)); |
| 206 result.skewY(BlendDoubles(from_y, to_y, progress)); |
| 207 break; |
| 208 } |
| 209 case TransformOperation::TransformOperationPerspective: { |
| 210 double from_perspective_depth = IsIdentity(from) ? |
| 211 std::numeric_limits<double>::max() : from->perspective_depth; |
| 212 double to_perspective_depth = IsIdentity(to) ? |
| 213 std::numeric_limits<double>::max() : to->perspective_depth; |
| 214 result.applyPerspective( |
| 215 BlendDoubles(from_perspective_depth, to_perspective_depth, progress)); |
| 216 break; |
| 217 } |
| 218 case TransformOperation::TransformOperationMatrix: { |
| 219 WebTransformationMatrix to_matrix; |
| 220 if (!IsIdentity(to)) |
| 221 to_matrix = to->matrix; |
| 222 WebTransformationMatrix from_matrix; |
| 223 if (!IsIdentity(from)) |
| 224 from_matrix = from->matrix; |
| 225 result = to_matrix; |
| 226 if (!result.blend(from_matrix, progress)) |
| 227 return false; |
| 228 break; |
| 229 } |
| 230 case TransformOperation::TransformOperationIdentity: |
| 231 // Do nothing. |
| 232 break; |
| 233 } |
| 234 |
| 235 return true; |
| 236 } |
| 237 |
| 238 WebTransformationMatrix TransformOperations::Blend( |
| 239 const TransformOperations& from, double progress) const { |
| 240 WebTransformationMatrix to_return; |
| 241 BlendInternal(from, progress, to_return); |
| 242 return to_return; |
| 243 } |
| 244 |
| 245 bool TransformOperations::MatchesTypes(const TransformOperations& other) const { |
| 246 if (IsIdentity() || other.IsIdentity()) |
| 247 return true; |
| 248 |
| 249 if (operations_.size() != other.operations_.size()) |
| 250 return false; |
| 251 |
| 252 for (size_t i = 0; i < operations_.size(); ++i) { |
| 253 if (operations_[i].type != other.operations_[i].type |
| 254 && !operations_[i].IsIdentity() |
| 255 && !other.operations_[i].IsIdentity()) |
| 256 return false; |
| 257 } |
| 258 |
| 259 return true; |
| 260 } |
| 261 |
| 262 bool TransformOperations::CanBlendWith( |
| 263 const TransformOperations& other) const { |
| 264 WebTransformationMatrix dummy; |
| 265 return BlendInternal(other, 0.5, dummy); |
| 266 } |
| 267 |
| 268 void TransformOperations::AppendTranslate(double x, double y, double z) { |
| 269 TransformOperation to_add; |
| 270 to_add.matrix.translate3d(x, y, z); |
| 271 to_add.type = TransformOperation::TransformOperationTranslate; |
| 272 to_add.translate.x = x; |
| 273 to_add.translate.y = y; |
| 274 to_add.translate.z = z; |
| 275 operations_.push_back(to_add); |
| 276 } |
| 277 |
| 278 void TransformOperations::AppendRotate(double x, double y, double z, |
| 279 double degrees) { |
| 280 TransformOperation to_add; |
| 281 to_add.matrix.rotate3d(x, y, z, degrees); |
| 282 to_add.type = TransformOperation::TransformOperationRotate; |
| 283 to_add.rotate.axis.x = x; |
| 284 to_add.rotate.axis.y = y; |
| 285 to_add.rotate.axis.z = z; |
| 286 to_add.rotate.angle = degrees; |
| 287 operations_.push_back(to_add); |
| 288 } |
| 289 |
| 290 void TransformOperations::AppendScale(double x, double y, double z) { |
| 291 TransformOperation to_add; |
| 292 to_add.matrix.scale3d(x, y, z); |
| 293 to_add.type = TransformOperation::TransformOperationScale; |
| 294 to_add.scale.x = x; |
| 295 to_add.scale.y = y; |
| 296 to_add.scale.z = z; |
| 297 operations_.push_back(to_add); |
| 298 } |
| 299 |
| 300 void TransformOperations::AppendSkew(double x, double y) { |
| 301 TransformOperation to_add; |
| 302 to_add.matrix.skewX(x); |
| 303 to_add.matrix.skewY(y); |
| 304 to_add.type = TransformOperation::TransformOperationSkew; |
| 305 to_add.skew.x = x; |
| 306 to_add.skew.y = y; |
| 307 operations_.push_back(to_add); |
| 308 } |
| 309 |
| 310 void TransformOperations::AppendPerspective(double depth) { |
| 311 TransformOperation to_add; |
| 312 to_add.matrix.applyPerspective(depth); |
| 313 to_add.type = TransformOperation::TransformOperationPerspective; |
| 314 to_add.perspective_depth = depth; |
| 315 operations_.push_back(to_add); |
| 316 } |
| 317 |
| 318 void TransformOperations::AppendMatrix(const WebTransformationMatrix& matrix) { |
| 319 TransformOperation to_add; |
| 320 to_add.matrix = matrix; |
| 321 to_add.type = TransformOperation::TransformOperationMatrix; |
| 322 operations_.push_back(to_add); |
| 323 } |
| 324 |
| 325 void TransformOperations::AppendIdentity() { |
| 326 operations_.push_back(TransformOperation()); |
| 327 } |
| 328 |
| 329 bool TransformOperations::IsIdentity() const { |
| 330 for (size_t i = 0; i < operations_.size(); ++i) { |
| 331 if (!operations_[i].IsIdentity()) |
| 332 return false; |
| 333 } |
| 334 return true; |
| 335 } |
| 336 |
| 337 bool TransformOperations::BlendInternal(const TransformOperations& from, |
| 338 double progress, |
| 339 WebTransformationMatrix& result) const { |
| 340 bool from_identity = from.IsIdentity(); |
| 341 bool to_identity = IsIdentity(); |
| 342 if (from_identity && to_identity) |
| 343 return true; |
| 344 |
| 345 if (MatchesTypes(from)) { |
| 346 size_t num_operations = |
| 347 std::max(from_identity ? 0 : from.operations_.size(), |
| 348 to_identity ? 0 : operations_.size()); |
| 349 for (size_t i = 0; i < num_operations; ++i) { |
| 350 WebTransformationMatrix blended; |
| 351 if (!BlendTransformOperations( |
| 352 from_identity ? 0 : &from.operations_[i], |
| 353 to_identity ? 0 : &operations_[i], |
| 354 progress, |
| 355 blended)) |
| 356 return false; |
| 357 result.multiply(blended); |
| 358 } |
| 359 return true; |
| 360 } |
| 361 |
| 362 result = Apply(); |
| 363 WebTransformationMatrix from_transform = from.Apply(); |
| 364 return result.blend(from_transform, progress); |
| 365 } |
| 366 |
| 367 } // namespace cc |
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