Matrix.cpp revision e4998e1ea93253c177f2358dc37c39d117b2f6c4
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 29namespace android { 30namespace uirenderer { 31 32/////////////////////////////////////////////////////////////////////////////// 33// Defines 34/////////////////////////////////////////////////////////////////////////////// 35 36static const float EPSILON = 0.0000001f; 37 38/////////////////////////////////////////////////////////////////////////////// 39// Matrix 40/////////////////////////////////////////////////////////////////////////////// 41 42const Matrix4& Matrix4::identity() { 43 static Matrix4 sIdentity; 44 return sIdentity; 45} 46 47void 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 71static bool isZero(float f) { 72 return fabs(f) <= EPSILON; 73} 74 75uint8_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 float m32 = data[kTranslateZ]; 93 94 if (m01 != 0.0f || m10 != 0.0f || m32 != 0.0f) { 95 mType |= kTypeAffine; 96 } 97 98 if (m00 != 1.0f || m11 != 1.0f) { 99 mType |= kTypeScale; 100 } 101 102 // The following section determines whether the matrix will preserve 103 // rectangles. For instance, a rectangle transformed by a pure 104 // translation matrix will result in a rectangle. A rectangle 105 // transformed by a 45 degrees rotation matrix is not a rectangle. 106 // If the matrix has a perspective component then we already know 107 // it doesn't preserve rectangles. 108 if (!(mType & kTypePerspective)) { 109 if ((isZero(m00) && isZero(m11) && !isZero(m01) && !isZero(m10)) || 110 (isZero(m01) && isZero(m10) && !isZero(m00) && !isZero(m11))) { 111 mType |= kTypeRectToRect; 112 } 113 } 114 } 115 return mType; 116} 117 118uint8_t Matrix4::getGeometryType() const { 119 return getType() & sGeometryMask; 120} 121 122bool Matrix4::rectToRect() const { 123 return getType() & kTypeRectToRect; 124} 125 126bool Matrix4::positiveScale() const { 127 return (data[kScaleX] > 0.0f && data[kScaleY] > 0.0f); 128} 129 130bool Matrix4::changesBounds() const { 131 return getType() & (kTypeScale | kTypeAffine | kTypePerspective); 132} 133 134bool Matrix4::isPureTranslate() const { 135 // NOTE: temporary hack to workaround ignoreTransform behavior with Z values 136 // TODO: separate this into isPure2dTranslate vs isPure3dTranslate 137 return getGeometryType() <= kTypeTranslate && (data[kTranslateZ] == 0.0f); 138} 139 140bool Matrix4::isSimple() const { 141 return getGeometryType() <= (kTypeScale | kTypeTranslate) && (data[kTranslateZ] == 0.0f); 142} 143 144bool Matrix4::isIdentity() const { 145 return getGeometryType() == kTypeIdentity; 146} 147 148bool Matrix4::isPerspective() const { 149 return getType() & kTypePerspective; 150} 151 152void Matrix4::load(const float* v) { 153 memcpy(data, v, sizeof(data)); 154 mType = kTypeUnknown; 155} 156 157void Matrix4::load(const Matrix4& v) { 158 memcpy(data, v.data, sizeof(data)); 159 mType = v.getType(); 160} 161 162void Matrix4::load(const SkMatrix& v) { 163 memset(data, 0, sizeof(data)); 164 165 data[kScaleX] = v[SkMatrix::kMScaleX]; 166 data[kSkewX] = v[SkMatrix::kMSkewX]; 167 data[kTranslateX] = v[SkMatrix::kMTransX]; 168 169 data[kSkewY] = v[SkMatrix::kMSkewY]; 170 data[kScaleY] = v[SkMatrix::kMScaleY]; 171 data[kTranslateY] = v[SkMatrix::kMTransY]; 172 173 data[kPerspective0] = v[SkMatrix::kMPersp0]; 174 data[kPerspective1] = v[SkMatrix::kMPersp1]; 175 data[kPerspective2] = v[SkMatrix::kMPersp2]; 176 177 data[kScaleZ] = 1.0f; 178 179 // NOTE: The flags are compatible between SkMatrix and this class. 180 // However, SkMatrix::getType() does not return the flag 181 // kRectStaysRect. The return value is masked with 0xF 182 // so we need the extra rectStaysRect() check 183 mType = v.getType(); 184 if (v.rectStaysRect()) { 185 mType |= kTypeRectToRect; 186 } 187} 188 189void Matrix4::copyTo(SkMatrix& v) const { 190 v.reset(); 191 192 v.set(SkMatrix::kMScaleX, data[kScaleX]); 193 v.set(SkMatrix::kMSkewX, data[kSkewX]); 194 v.set(SkMatrix::kMTransX, data[kTranslateX]); 195 196 v.set(SkMatrix::kMSkewY, data[kSkewY]); 197 v.set(SkMatrix::kMScaleY, data[kScaleY]); 198 v.set(SkMatrix::kMTransY, data[kTranslateY]); 199 200 v.set(SkMatrix::kMPersp0, data[kPerspective0]); 201 v.set(SkMatrix::kMPersp1, data[kPerspective1]); 202 v.set(SkMatrix::kMPersp2, data[kPerspective2]); 203} 204 205void Matrix4::loadInverse(const Matrix4& v) { 206 // Fast case for common translation matrices 207 if (v.isPureTranslate()) { 208 // Reset the matrix 209 // Unnamed fields are never written to except by 210 // loadIdentity(), they don't need to be reset 211 data[kScaleX] = 1.0f; 212 data[kSkewX] = 0.0f; 213 214 data[kScaleY] = 1.0f; 215 data[kSkewY] = 0.0f; 216 217 data[kScaleZ] = 1.0f; 218 219 data[kPerspective0] = 0.0f; 220 data[kPerspective1] = 0.0f; 221 data[kPerspective2] = 1.0f; 222 223 // No need to deal with kTranslateZ because isPureTranslate() 224 // only returns true when the kTranslateZ component is 0 225 data[kTranslateX] = -v.data[kTranslateX]; 226 data[kTranslateY] = -v.data[kTranslateY]; 227 data[kTranslateZ] = 0.0f; 228 229 // A "pure translate" matrix can be identity or translation 230 mType = v.getType(); 231 return; 232 } 233 234 double scale = 1.0 / 235 (v.data[kScaleX] * ((double) v.data[kScaleY] * v.data[kPerspective2] - 236 (double) v.data[kTranslateY] * v.data[kPerspective1]) + 237 v.data[kSkewX] * ((double) v.data[kTranslateY] * v.data[kPerspective0] - 238 (double) v.data[kSkewY] * v.data[kPerspective2]) + 239 v.data[kTranslateX] * ((double) v.data[kSkewY] * v.data[kPerspective1] - 240 (double) v.data[kScaleY] * v.data[kPerspective0])); 241 242 data[kScaleX] = (v.data[kScaleY] * v.data[kPerspective2] - 243 v.data[kTranslateY] * v.data[kPerspective1]) * scale; 244 data[kSkewX] = (v.data[kTranslateX] * v.data[kPerspective1] - 245 v.data[kSkewX] * v.data[kPerspective2]) * scale; 246 data[kTranslateX] = (v.data[kSkewX] * v.data[kTranslateY] - 247 v.data[kTranslateX] * v.data[kScaleY]) * scale; 248 249 data[kSkewY] = (v.data[kTranslateY] * v.data[kPerspective0] - 250 v.data[kSkewY] * v.data[kPerspective2]) * scale; 251 data[kScaleY] = (v.data[kScaleX] * v.data[kPerspective2] - 252 v.data[kTranslateX] * v.data[kPerspective0]) * scale; 253 data[kTranslateY] = (v.data[kTranslateX] * v.data[kSkewY] - 254 v.data[kScaleX] * v.data[kTranslateY]) * scale; 255 256 data[kPerspective0] = (v.data[kSkewY] * v.data[kPerspective1] - 257 v.data[kScaleY] * v.data[kPerspective0]) * scale; 258 data[kPerspective1] = (v.data[kSkewX] * v.data[kPerspective0] - 259 v.data[kScaleX] * v.data[kPerspective1]) * scale; 260 data[kPerspective2] = (v.data[kScaleX] * v.data[kScaleY] - 261 v.data[kSkewX] * v.data[kSkewY]) * scale; 262 263 mType = kTypeUnknown; 264} 265 266void Matrix4::copyTo(float* v) const { 267 memcpy(v, data, sizeof(data)); 268} 269 270float Matrix4::getTranslateX() const { 271 return data[kTranslateX]; 272} 273 274float Matrix4::getTranslateY() const { 275 return data[kTranslateY]; 276} 277 278void Matrix4::multiply(float v) { 279 for (int i = 0; i < 16; i++) { 280 data[i] *= v; 281 } 282 mType = kTypeUnknown; 283} 284 285void Matrix4::loadTranslate(float x, float y, float z) { 286 loadIdentity(); 287 288 data[kTranslateX] = x; 289 data[kTranslateY] = y; 290 data[kTranslateZ] = z; 291 292 mType = kTypeTranslate | kTypeRectToRect; 293} 294 295void Matrix4::loadScale(float sx, float sy, float sz) { 296 loadIdentity(); 297 298 data[kScaleX] = sx; 299 data[kScaleY] = sy; 300 data[kScaleZ] = sz; 301 302 mType = kTypeScale | kTypeRectToRect; 303} 304 305void Matrix4::loadSkew(float sx, float sy) { 306 loadIdentity(); 307 308 data[kScaleX] = 1.0f; 309 data[kSkewX] = sx; 310 data[kTranslateX] = 0.0f; 311 312 data[kSkewY] = sy; 313 data[kScaleY] = 1.0f; 314 data[kTranslateY] = 0.0f; 315 316 data[kPerspective0] = 0.0f; 317 data[kPerspective1] = 0.0f; 318 data[kPerspective2] = 1.0f; 319 320 mType = kTypeUnknown; 321} 322 323void Matrix4::loadRotate(float angle) { 324 angle *= float(M_PI / 180.0f); 325 float c = cosf(angle); 326 float s = sinf(angle); 327 328 loadIdentity(); 329 330 data[kScaleX] = c; 331 data[kSkewX] = -s; 332 333 data[kSkewY] = s; 334 data[kScaleY] = c; 335 336 mType = kTypeUnknown; 337} 338 339void Matrix4::loadRotate(float angle, float x, float y, float z) { 340 data[kPerspective0] = 0.0f; 341 data[kPerspective1] = 0.0f; 342 data[11] = 0.0f; 343 data[kTranslateX] = 0.0f; 344 data[kTranslateY] = 0.0f; 345 data[kTranslateZ] = 0.0f; 346 data[kPerspective2] = 1.0f; 347 348 angle *= float(M_PI / 180.0f); 349 float c = cosf(angle); 350 float s = sinf(angle); 351 352 const float length = sqrtf(x * x + y * y + z * z); 353 float recipLen = 1.0f / length; 354 x *= recipLen; 355 y *= recipLen; 356 z *= recipLen; 357 358 const float nc = 1.0f - c; 359 const float xy = x * y; 360 const float yz = y * z; 361 const float zx = z * x; 362 const float xs = x * s; 363 const float ys = y * s; 364 const float zs = z * s; 365 366 data[kScaleX] = x * x * nc + c; 367 data[kSkewX] = xy * nc - zs; 368 data[8] = zx * nc + ys; 369 data[kSkewY] = xy * nc + zs; 370 data[kScaleY] = y * y * nc + c; 371 data[9] = yz * nc - xs; 372 data[2] = zx * nc - ys; 373 data[6] = yz * nc + xs; 374 data[kScaleZ] = z * z * nc + c; 375 376 mType = kTypeUnknown; 377} 378 379void Matrix4::loadMultiply(const Matrix4& u, const Matrix4& v) { 380 for (int i = 0 ; i < 4 ; i++) { 381 float x = 0; 382 float y = 0; 383 float z = 0; 384 float w = 0; 385 386 for (int j = 0 ; j < 4 ; j++) { 387 const float e = v.get(i, j); 388 x += u.get(j, 0) * e; 389 y += u.get(j, 1) * e; 390 z += u.get(j, 2) * e; 391 w += u.get(j, 3) * e; 392 } 393 394 set(i, 0, x); 395 set(i, 1, y); 396 set(i, 2, z); 397 set(i, 3, w); 398 } 399 400 mType = kTypeUnknown; 401} 402 403void Matrix4::loadOrtho(float left, float right, float bottom, float top, float near, float far) { 404 loadIdentity(); 405 406 data[kScaleX] = 2.0f / (right - left); 407 data[kScaleY] = 2.0f / (top - bottom); 408 data[kScaleZ] = -2.0f / (far - near); 409 data[kTranslateX] = -(right + left) / (right - left); 410 data[kTranslateY] = -(top + bottom) / (top - bottom); 411 data[kTranslateZ] = -(far + near) / (far - near); 412 413 mType = kTypeTranslate | kTypeScale | kTypeRectToRect; 414} 415 416float Matrix4::mapZ(const Vector3& orig) const { 417 // duplicates logic for mapPoint3d's z coordinate 418 return orig.x * data[2] + orig.y * data[6] + orig.z * data[kScaleZ] + data[kTranslateZ]; 419} 420 421void Matrix4::mapPoint3d(Vector3& vec) const { 422 //TODO: optimize simple case 423 const Vector3 orig(vec); 424 vec.x = orig.x * data[kScaleX] + orig.y * data[kSkewX] + orig.z * data[8] + data[kTranslateX]; 425 vec.y = orig.x * data[kSkewY] + orig.y * data[kScaleY] + orig.z * data[9] + data[kTranslateY]; 426 vec.z = orig.x * data[2] + orig.y * data[6] + orig.z * data[kScaleZ] + data[kTranslateZ]; 427} 428 429#define MUL_ADD_STORE(a, b, c) a = (a) * (b) + (c) 430 431void Matrix4::mapPoint(float& x, float& y) const { 432 if (isSimple()) { 433 MUL_ADD_STORE(x, data[kScaleX], data[kTranslateX]); 434 MUL_ADD_STORE(y, data[kScaleY], data[kTranslateY]); 435 return; 436 } 437 438 float dx = x * data[kScaleX] + y * data[kSkewX] + data[kTranslateX]; 439 float dy = x * data[kSkewY] + y * data[kScaleY] + data[kTranslateY]; 440 float dz = x * data[kPerspective0] + y * data[kPerspective1] + data[kPerspective2]; 441 if (dz) dz = 1.0f / dz; 442 443 x = dx * dz; 444 y = dy * dz; 445} 446 447void Matrix4::mapRect(Rect& r) const { 448 if (isIdentity()) return; 449 450 if (isSimple()) { 451 MUL_ADD_STORE(r.left, data[kScaleX], data[kTranslateX]); 452 MUL_ADD_STORE(r.right, data[kScaleX], data[kTranslateX]); 453 MUL_ADD_STORE(r.top, data[kScaleY], data[kTranslateY]); 454 MUL_ADD_STORE(r.bottom, data[kScaleY], data[kTranslateY]); 455 456 if (r.left > r.right) { 457 float x = r.left; 458 r.left = r.right; 459 r.right = x; 460 } 461 462 if (r.top > r.bottom) { 463 float y = r.top; 464 r.top = r.bottom; 465 r.bottom = y; 466 } 467 468 return; 469 } 470 471 float vertices[] = { 472 r.left, r.top, 473 r.right, r.top, 474 r.right, r.bottom, 475 r.left, r.bottom 476 }; 477 478 float x, y, z; 479 480 for (int i = 0; i < 8; i+= 2) { 481 float px = vertices[i]; 482 float py = vertices[i + 1]; 483 484 x = px * data[kScaleX] + py * data[kSkewX] + data[kTranslateX]; 485 y = px * data[kSkewY] + py * data[kScaleY] + data[kTranslateY]; 486 z = px * data[kPerspective0] + py * data[kPerspective1] + data[kPerspective2]; 487 if (z) z = 1.0f / z; 488 489 vertices[i] = x * z; 490 vertices[i + 1] = y * z; 491 } 492 493 r.left = r.right = vertices[0]; 494 r.top = r.bottom = vertices[1]; 495 496 for (int i = 2; i < 8; i += 2) { 497 x = vertices[i]; 498 y = vertices[i + 1]; 499 500 if (x < r.left) r.left = x; 501 else if (x > r.right) r.right = x; 502 if (y < r.top) r.top = y; 503 else if (y > r.bottom) r.bottom = y; 504 } 505} 506 507void Matrix4::decomposeScale(float& sx, float& sy) const { 508 float len; 509 len = data[mat4::kScaleX] * data[mat4::kScaleX] + data[mat4::kSkewX] * data[mat4::kSkewX]; 510 sx = copysignf(sqrtf(len), data[mat4::kScaleX]); 511 len = data[mat4::kScaleY] * data[mat4::kScaleY] + data[mat4::kSkewY] * data[mat4::kSkewY]; 512 sy = copysignf(sqrtf(len), data[mat4::kScaleY]); 513} 514 515void Matrix4::dump(const char* label) const { 516 ALOGD("%s[simple=%d, type=0x%x", label ? label : "Matrix4", isSimple(), getType()); 517 ALOGD(" %f %f %f %f", data[kScaleX], data[kSkewX], data[8], data[kTranslateX]); 518 ALOGD(" %f %f %f %f", data[kSkewY], data[kScaleY], data[9], data[kTranslateY]); 519 ALOGD(" %f %f %f %f", data[2], data[6], data[kScaleZ], data[kTranslateZ]); 520 ALOGD(" %f %f %f %f", data[kPerspective0], data[kPerspective1], data[11], data[kPerspective2]); 521 ALOGD("]"); 522} 523 524}; // namespace uirenderer 525}; // namespace android 526