1 /* 2 * Copyright (C) 2010 The Android Open Source Project 3 * 4 * Licensed under the Apache License, Version 2.0 (the "License"); 5 * you may not use this file except in compliance with the License. 6 * You may obtain a copy of the License at 7 * 8 * http://www.apache.org/licenses/LICENSE-2.0 9 * 10 * Unless required by applicable law or agreed to in writing, software 11 * distributed under the License is distributed on an "AS IS" BASIS, 12 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 13 * See the License for the specific language governing permissions and 14 * limitations under the License. 15 */ 16 17 #define LOG_TAG "OpenGLRenderer" 18 19 #include <math.h> 20 #include <stdlib.h> 21 #include <string.h> 22 23 #include <utils/Log.h> 24 25 #include <SkMatrix.h> 26 27 #include "Matrix.h" 28 29 namespace android { 30 namespace uirenderer { 31 32 /////////////////////////////////////////////////////////////////////////////// 33 // Defines 34 /////////////////////////////////////////////////////////////////////////////// 35 36 static const float EPSILON = 0.0000001f; 37 38 /////////////////////////////////////////////////////////////////////////////// 39 // Matrix 40 /////////////////////////////////////////////////////////////////////////////// 41 42 const Matrix4& Matrix4::identity() { 43 static Matrix4 sIdentity; 44 return sIdentity; 45 } 46 47 void Matrix4::loadIdentity() { 48 data[kScaleX] = 1.0f; 49 data[kSkewY] = 0.0f; 50 data[2] = 0.0f; 51 data[kPerspective0] = 0.0f; 52 53 data[kSkewX] = 0.0f; 54 data[kScaleY] = 1.0f; 55 data[6] = 0.0f; 56 data[kPerspective1] = 0.0f; 57 58 data[8] = 0.0f; 59 data[9] = 0.0f; 60 data[kScaleZ] = 1.0f; 61 data[11] = 0.0f; 62 63 data[kTranslateX] = 0.0f; 64 data[kTranslateY] = 0.0f; 65 data[kTranslateZ] = 0.0f; 66 data[kPerspective2] = 1.0f; 67 68 mType = kTypeIdentity | kTypeRectToRect; 69 } 70 71 static bool isZero(float f) { 72 return fabs(f) <= EPSILON; 73 } 74 75 uint32_t Matrix4::getType() const { 76 if (mType & kTypeUnknown) { 77 mType = kTypeIdentity; 78 79 if (data[kPerspective0] != 0.0f || data[kPerspective1] != 0.0f || 80 data[kPerspective2] != 1.0f) { 81 mType |= kTypePerspective; 82 } 83 84 if (data[kTranslateX] != 0.0f || data[kTranslateY] != 0.0f) { 85 mType |= kTypeTranslate; 86 } 87 88 float m00 = data[kScaleX]; 89 float m01 = data[kSkewX]; 90 float m10 = data[kSkewY]; 91 float m11 = data[kScaleY]; 92 93 if (m01 != 0.0f || m10 != 0.0f) { 94 mType |= kTypeAffine; 95 } 96 97 if (m00 != 1.0f || m11 != 1.0f) { 98 mType |= kTypeScale; 99 } 100 101 // The following section determines whether the matrix will preserve 102 // rectangles. For instance, a rectangle transformed by a pure 103 // translation matrix will result in a rectangle. A rectangle 104 // transformed by a 45 degrees rotation matrix is not a rectangle. 105 // If the matrix has a perspective component then we already know 106 // it doesn't preserve rectangles. 107 if (!(mType & kTypePerspective)) { 108 if ((isZero(m00) && isZero(m11) && !isZero(m01) && !isZero(m10)) || 109 (isZero(m01) && isZero(m10) && !isZero(m00) && !isZero(m11))) { 110 mType |= kTypeRectToRect; 111 } 112 } 113 } 114 return mType; 115 } 116 117 uint32_t Matrix4::getGeometryType() const { 118 return getType() & sGeometryMask; 119 } 120 121 bool Matrix4::rectToRect() const { 122 return getType() & kTypeRectToRect; 123 } 124 125 bool Matrix4::changesBounds() const { 126 return getType() & (kTypeScale | kTypeAffine | kTypePerspective); 127 } 128 129 bool Matrix4::isPureTranslate() const { 130 return getGeometryType() == kTypeTranslate; 131 } 132 133 bool Matrix4::isSimple() const { 134 return getGeometryType() <= (kTypeScale | kTypeTranslate); 135 } 136 137 bool Matrix4::isIdentity() const { 138 return getGeometryType() == kTypeIdentity; 139 } 140 141 bool Matrix4::isPerspective() const { 142 return getType() & kTypePerspective; 143 } 144 145 void Matrix4::load(const float* v) { 146 memcpy(data, v, sizeof(data)); 147 mType = kTypeUnknown; 148 } 149 150 void Matrix4::load(const Matrix4& v) { 151 memcpy(data, v.data, sizeof(data)); 152 mType = v.getType(); 153 } 154 155 void Matrix4::load(const SkMatrix& v) { 156 memset(data, 0, sizeof(data)); 157 158 data[kScaleX] = v[SkMatrix::kMScaleX]; 159 data[kSkewX] = v[SkMatrix::kMSkewX]; 160 data[kTranslateX] = v[SkMatrix::kMTransX]; 161 162 data[kSkewY] = v[SkMatrix::kMSkewY]; 163 data[kScaleY] = v[SkMatrix::kMScaleY]; 164 data[kTranslateY] = v[SkMatrix::kMTransY]; 165 166 data[kPerspective0] = v[SkMatrix::kMPersp0]; 167 data[kPerspective1] = v[SkMatrix::kMPersp1]; 168 data[kPerspective2] = v[SkMatrix::kMPersp2]; 169 170 data[kScaleZ] = 1.0f; 171 172 // NOTE: The flags are compatible between SkMatrix and this class. 173 // However, SkMatrix::getType() does not return the flag 174 // kRectStaysRect. The return value is masked with 0xF 175 // so we need the extra rectStaysRect() check 176 mType = v.getType(); 177 if (v.rectStaysRect()) { 178 mType |= kTypeRectToRect; 179 } 180 } 181 182 void Matrix4::copyTo(SkMatrix& v) const { 183 v.reset(); 184 185 v.set(SkMatrix::kMScaleX, data[kScaleX]); 186 v.set(SkMatrix::kMSkewX, data[kSkewX]); 187 v.set(SkMatrix::kMTransX, data[kTranslateX]); 188 189 v.set(SkMatrix::kMSkewY, data[kSkewY]); 190 v.set(SkMatrix::kMScaleY, data[kScaleY]); 191 v.set(SkMatrix::kMTransY, data[kTranslateY]); 192 193 v.set(SkMatrix::kMPersp0, data[kPerspective0]); 194 v.set(SkMatrix::kMPersp1, data[kPerspective1]); 195 v.set(SkMatrix::kMPersp2, data[kPerspective2]); 196 } 197 198 void Matrix4::loadInverse(const Matrix4& v) { 199 double scale = 1.0 / 200 (v.data[kScaleX] * ((double) v.data[kScaleY] * v.data[kPerspective2] - 201 (double) v.data[kTranslateY] * v.data[kPerspective1]) + 202 v.data[kSkewX] * ((double) v.data[kTranslateY] * v.data[kPerspective0] - 203 (double) v.data[kSkewY] * v.data[kPerspective2]) + 204 v.data[kTranslateX] * ((double) v.data[kSkewY] * v.data[kPerspective1] - 205 (double) v.data[kScaleY] * v.data[kPerspective0])); 206 207 data[kScaleX] = (v.data[kScaleY] * v.data[kPerspective2] - 208 v.data[kTranslateY] * v.data[kPerspective1]) * scale; 209 data[kSkewX] = (v.data[kTranslateX] * v.data[kPerspective1] - 210 v.data[kSkewX] * v.data[kPerspective2]) * scale; 211 data[kTranslateX] = (v.data[kSkewX] * v.data[kTranslateY] - 212 v.data[kTranslateX] * v.data[kScaleY]) * scale; 213 214 data[kSkewY] = (v.data[kTranslateY] * v.data[kPerspective0] - 215 v.data[kSkewY] * v.data[kPerspective2]) * scale; 216 data[kScaleY] = (v.data[kScaleX] * v.data[kPerspective2] - 217 v.data[kTranslateX] * v.data[kPerspective0]) * scale; 218 data[kTranslateY] = (v.data[kTranslateX] * v.data[kSkewY] - 219 v.data[kScaleX] * v.data[kTranslateY]) * scale; 220 221 data[kPerspective0] = (v.data[kSkewY] * v.data[kPerspective1] - 222 v.data[kScaleY] * v.data[kPerspective0]) * scale; 223 data[kPerspective1] = (v.data[kSkewX] * v.data[kPerspective0] - 224 v.data[kScaleX] * v.data[kPerspective1]) * scale; 225 data[kPerspective2] = (v.data[kScaleX] * v.data[kScaleY] - 226 v.data[kSkewX] * v.data[kSkewY]) * scale; 227 228 mType = kTypeUnknown; 229 } 230 231 void Matrix4::copyTo(float* v) const { 232 memcpy(v, data, sizeof(data)); 233 } 234 235 float Matrix4::getTranslateX() const { 236 return data[kTranslateX]; 237 } 238 239 float Matrix4::getTranslateY() const { 240 return data[kTranslateY]; 241 } 242 243 void Matrix4::multiply(float v) { 244 for (int i = 0; i < 16; i++) { 245 data[i] *= v; 246 } 247 mType = kTypeUnknown; 248 } 249 250 void Matrix4::loadTranslate(float x, float y, float z) { 251 loadIdentity(); 252 253 data[kTranslateX] = x; 254 data[kTranslateY] = y; 255 data[kTranslateZ] = z; 256 257 mType = kTypeTranslate | kTypeRectToRect; 258 } 259 260 void Matrix4::loadScale(float sx, float sy, float sz) { 261 loadIdentity(); 262 263 data[kScaleX] = sx; 264 data[kScaleY] = sy; 265 data[kScaleZ] = sz; 266 267 mType = kTypeScale | kTypeRectToRect; 268 } 269 270 void Matrix4::loadSkew(float sx, float sy) { 271 loadIdentity(); 272 273 data[kScaleX] = 1.0f; 274 data[kSkewX] = sx; 275 data[kTranslateX] = 0.0f; 276 277 data[kSkewY] = sy; 278 data[kScaleY] = 1.0f; 279 data[kTranslateY] = 0.0f; 280 281 data[kPerspective0] = 0.0f; 282 data[kPerspective1] = 0.0f; 283 data[kPerspective2] = 1.0f; 284 285 mType = kTypeUnknown; 286 } 287 288 void Matrix4::loadRotate(float angle) { 289 angle *= float(M_PI / 180.0f); 290 float c = cosf(angle); 291 float s = sinf(angle); 292 293 loadIdentity(); 294 295 data[kScaleX] = c; 296 data[kSkewX] = -s; 297 298 data[kSkewY] = s; 299 data[kScaleY] = c; 300 301 mType = kTypeUnknown; 302 } 303 304 void Matrix4::loadRotate(float angle, float x, float y, float z) { 305 data[kPerspective0] = 0.0f; 306 data[kPerspective1] = 0.0f; 307 data[11] = 0.0f; 308 data[kTranslateX] = 0.0f; 309 data[kTranslateY] = 0.0f; 310 data[kTranslateZ] = 0.0f; 311 data[kPerspective2] = 1.0f; 312 313 angle *= float(M_PI / 180.0f); 314 float c = cosf(angle); 315 float s = sinf(angle); 316 317 const float length = sqrtf(x * x + y * y + z * z); 318 float recipLen = 1.0f / length; 319 x *= recipLen; 320 y *= recipLen; 321 z *= recipLen; 322 323 const float nc = 1.0f - c; 324 const float xy = x * y; 325 const float yz = y * z; 326 const float zx = z * x; 327 const float xs = x * s; 328 const float ys = y * s; 329 const float zs = z * s; 330 331 data[kScaleX] = x * x * nc + c; 332 data[kSkewX] = xy * nc - zs; 333 data[8] = zx * nc + ys; 334 data[kSkewY] = xy * nc + zs; 335 data[kScaleY] = y * y * nc + c; 336 data[9] = yz * nc - xs; 337 data[2] = zx * nc - ys; 338 data[6] = yz * nc + xs; 339 data[kScaleZ] = z * z * nc + c; 340 341 mType = kTypeUnknown; 342 } 343 344 void Matrix4::loadMultiply(const Matrix4& u, const Matrix4& v) { 345 for (int i = 0 ; i < 4 ; i++) { 346 float x = 0; 347 float y = 0; 348 float z = 0; 349 float w = 0; 350 351 for (int j = 0 ; j < 4 ; j++) { 352 const float e = v.get(i, j); 353 x += u.get(j, 0) * e; 354 y += u.get(j, 1) * e; 355 z += u.get(j, 2) * e; 356 w += u.get(j, 3) * e; 357 } 358 359 set(i, 0, x); 360 set(i, 1, y); 361 set(i, 2, z); 362 set(i, 3, w); 363 } 364 365 mType = kTypeUnknown; 366 } 367 368 void Matrix4::loadOrtho(float left, float right, float bottom, float top, float near, float far) { 369 loadIdentity(); 370 371 data[kScaleX] = 2.0f / (right - left); 372 data[kScaleY] = 2.0f / (top - bottom); 373 data[kScaleZ] = -2.0f / (far - near); 374 data[kTranslateX] = -(right + left) / (right - left); 375 data[kTranslateY] = -(top + bottom) / (top - bottom); 376 data[kTranslateZ] = -(far + near) / (far - near); 377 378 mType = kTypeTranslate | kTypeScale | kTypeRectToRect; 379 } 380 381 #define MUL_ADD_STORE(a, b, c) a = (a) * (b) + (c) 382 383 void Matrix4::mapPoint(float& x, float& y) const { 384 if (isSimple()) { 385 MUL_ADD_STORE(x, data[kScaleX], data[kTranslateX]); 386 MUL_ADD_STORE(y, data[kScaleY], data[kTranslateY]); 387 return; 388 } 389 390 float dx = x * data[kScaleX] + y * data[kSkewX] + data[kTranslateX]; 391 float dy = x * data[kSkewY] + y * data[kScaleY] + data[kTranslateY]; 392 float dz = x * data[kPerspective0] + y * data[kPerspective1] + data[kPerspective2]; 393 if (dz) dz = 1.0f / dz; 394 395 x = dx * dz; 396 y = dy * dz; 397 } 398 399 void Matrix4::mapRect(Rect& r) const { 400 if (isSimple()) { 401 MUL_ADD_STORE(r.left, data[kScaleX], data[kTranslateX]); 402 MUL_ADD_STORE(r.right, data[kScaleX], data[kTranslateX]); 403 MUL_ADD_STORE(r.top, data[kScaleY], data[kTranslateY]); 404 MUL_ADD_STORE(r.bottom, data[kScaleY], data[kTranslateY]); 405 406 if (r.left > r.right) { 407 float x = r.left; 408 r.left = r.right; 409 r.right = x; 410 } 411 412 if (r.top > r.bottom) { 413 float y = r.top; 414 r.top = r.bottom; 415 r.bottom = y; 416 } 417 418 return; 419 } 420 421 float vertices[] = { 422 r.left, r.top, 423 r.right, r.top, 424 r.right, r.bottom, 425 r.left, r.bottom 426 }; 427 428 float x, y, z; 429 430 for (int i = 0; i < 8; i+= 2) { 431 float px = vertices[i]; 432 float py = vertices[i + 1]; 433 434 x = px * data[kScaleX] + py * data[kSkewX] + data[kTranslateX]; 435 y = px * data[kSkewY] + py * data[kScaleY] + data[kTranslateY]; 436 z = px * data[kPerspective0] + py * data[kPerspective1] + data[kPerspective2]; 437 if (z) z = 1.0f / z; 438 439 vertices[i] = x * z; 440 vertices[i + 1] = y * z; 441 } 442 443 r.left = r.right = vertices[0]; 444 r.top = r.bottom = vertices[1]; 445 446 for (int i = 2; i < 8; i += 2) { 447 x = vertices[i]; 448 y = vertices[i + 1]; 449 450 if (x < r.left) r.left = x; 451 else if (x > r.right) r.right = x; 452 if (y < r.top) r.top = y; 453 else if (y > r.bottom) r.bottom = y; 454 } 455 } 456 457 void Matrix4::decomposeScale(float& sx, float& sy) const { 458 float len; 459 len = data[mat4::kScaleX] * data[mat4::kScaleX] + data[mat4::kSkewX] * data[mat4::kSkewX]; 460 sx = copysignf(sqrtf(len), data[mat4::kScaleX]); 461 len = data[mat4::kScaleY] * data[mat4::kScaleY] + data[mat4::kSkewY] * data[mat4::kSkewY]; 462 sy = copysignf(sqrtf(len), data[mat4::kScaleY]); 463 } 464 465 void Matrix4::dump() const { 466 ALOGD("Matrix4[simple=%d, type=0x%x", isSimple(), getType()); 467 ALOGD(" %f %f %f %f", data[kScaleX], data[kSkewX], data[8], data[kTranslateX]); 468 ALOGD(" %f %f %f %f", data[kSkewY], data[kScaleY], data[9], data[kTranslateY]); 469 ALOGD(" %f %f %f %f", data[2], data[6], data[kScaleZ], data[kTranslateZ]); 470 ALOGD(" %f %f %f %f", data[kPerspective0], data[kPerspective1], data[11], data[kPerspective2]); 471 ALOGD("]"); 472 } 473 474 }; // namespace uirenderer 475 }; // namespace android 476
