1 /* 2 * Copyright (C) 2007 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 #include <math.h> 18 19 #include <cutils/compiler.h> 20 #include <utils/String8.h> 21 #include <ui/Region.h> 22 23 #include "clz.h" 24 #include "Transform.h" 25 26 // --------------------------------------------------------------------------- 27 28 namespace android { 29 30 // --------------------------------------------------------------------------- 31 32 Transform::Transform() { 33 reset(); 34 } 35 36 Transform::Transform(const Transform& other) 37 : mMatrix(other.mMatrix), mType(other.mType) { 38 } 39 40 Transform::Transform(uint32_t orientation) { 41 set(orientation, 0, 0); 42 } 43 44 Transform::~Transform() { 45 } 46 47 static const float EPSILON = 0.0f; 48 49 bool Transform::isZero(float f) { 50 return fabs(f) <= EPSILON; 51 } 52 53 bool Transform::absIsOne(float f) { 54 return isZero(fabs(f) - 1.0f); 55 } 56 57 Transform Transform::operator * (const Transform& rhs) const 58 { 59 if (CC_LIKELY(mType == IDENTITY)) 60 return rhs; 61 62 Transform r(*this); 63 if (rhs.mType == IDENTITY) 64 return r; 65 66 // TODO: we could use mType to optimize the matrix multiply 67 const mat33& A(mMatrix); 68 const mat33& B(rhs.mMatrix); 69 mat33& D(r.mMatrix); 70 for (int i=0 ; i<3 ; i++) { 71 const float v0 = A[0][i]; 72 const float v1 = A[1][i]; 73 const float v2 = A[2][i]; 74 D[0][i] = v0*B[0][0] + v1*B[0][1] + v2*B[0][2]; 75 D[1][i] = v0*B[1][0] + v1*B[1][1] + v2*B[1][2]; 76 D[2][i] = v0*B[2][0] + v1*B[2][1] + v2*B[2][2]; 77 } 78 r.mType |= rhs.mType; 79 80 // TODO: we could recompute this value from r and rhs 81 r.mType &= 0xFF; 82 r.mType |= UNKNOWN_TYPE; 83 return r; 84 } 85 86 const vec3& Transform::operator [] (size_t i) const { 87 return mMatrix[i]; 88 } 89 90 bool Transform::transformed() const { 91 return type() > TRANSLATE; 92 } 93 94 float Transform::tx() const { 95 return mMatrix[2][0]; 96 } 97 98 float Transform::ty() const { 99 return mMatrix[2][1]; 100 } 101 102 void Transform::reset() { 103 mType = IDENTITY; 104 for(int i=0 ; i<3 ; i++) { 105 vec3& v(mMatrix[i]); 106 for (int j=0 ; j<3 ; j++) 107 v[j] = ((i==j) ? 1.0f : 0.0f); 108 } 109 } 110 111 void Transform::set(float tx, float ty) 112 { 113 mMatrix[2][0] = tx; 114 mMatrix[2][1] = ty; 115 mMatrix[2][2] = 1.0f; 116 117 if (isZero(tx) && isZero(ty)) { 118 mType &= ~TRANSLATE; 119 } else { 120 mType |= TRANSLATE; 121 } 122 } 123 124 void Transform::set(float a, float b, float c, float d) 125 { 126 mat33& M(mMatrix); 127 M[0][0] = a; M[1][0] = b; 128 M[0][1] = c; M[1][1] = d; 129 M[0][2] = 0; M[1][2] = 0; 130 mType = UNKNOWN_TYPE; 131 } 132 133 status_t Transform::set(uint32_t flags, float w, float h) 134 { 135 if (flags & ROT_INVALID) { 136 // that's not allowed! 137 reset(); 138 return BAD_VALUE; 139 } 140 141 Transform H, V, R; 142 if (flags & ROT_90) { 143 // w & h are inverted when rotating by 90 degrees 144 swap(w, h); 145 } 146 147 if (flags & FLIP_H) { 148 H.mType = (FLIP_H << 8) | SCALE; 149 H.mType |= isZero(w) ? IDENTITY : TRANSLATE; 150 mat33& M(H.mMatrix); 151 M[0][0] = -1; 152 M[2][0] = w; 153 } 154 155 if (flags & FLIP_V) { 156 V.mType = (FLIP_V << 8) | SCALE; 157 V.mType |= isZero(h) ? IDENTITY : TRANSLATE; 158 mat33& M(V.mMatrix); 159 M[1][1] = -1; 160 M[2][1] = h; 161 } 162 163 if (flags & ROT_90) { 164 const float original_w = h; 165 R.mType = (ROT_90 << 8) | ROTATE; 166 R.mType |= isZero(original_w) ? IDENTITY : TRANSLATE; 167 mat33& M(R.mMatrix); 168 M[0][0] = 0; M[1][0] =-1; M[2][0] = original_w; 169 M[0][1] = 1; M[1][1] = 0; 170 } 171 172 *this = (R*(H*V)); 173 return NO_ERROR; 174 } 175 176 vec2 Transform::transform(const vec2& v) const { 177 vec2 r; 178 const mat33& M(mMatrix); 179 r[0] = M[0][0]*v[0] + M[1][0]*v[1] + M[2][0]; 180 r[1] = M[0][1]*v[0] + M[1][1]*v[1] + M[2][1]; 181 return r; 182 } 183 184 vec3 Transform::transform(const vec3& v) const { 185 vec3 r; 186 const mat33& M(mMatrix); 187 r[0] = M[0][0]*v[0] + M[1][0]*v[1] + M[2][0]*v[2]; 188 r[1] = M[0][1]*v[0] + M[1][1]*v[1] + M[2][1]*v[2]; 189 r[2] = M[0][2]*v[0] + M[1][2]*v[1] + M[2][2]*v[2]; 190 return r; 191 } 192 193 vec2 Transform::transform(int x, int y) const 194 { 195 return transform(vec2(x,y)); 196 } 197 198 Rect Transform::makeBounds(int w, int h) const 199 { 200 return transform( Rect(w, h) ); 201 } 202 203 Rect Transform::transform(const Rect& bounds) const 204 { 205 Rect r; 206 vec2 lt( bounds.left, bounds.top ); 207 vec2 rt( bounds.right, bounds.top ); 208 vec2 lb( bounds.left, bounds.bottom ); 209 vec2 rb( bounds.right, bounds.bottom ); 210 211 lt = transform(lt); 212 rt = transform(rt); 213 lb = transform(lb); 214 rb = transform(rb); 215 216 r.left = floorf(min(lt[0], rt[0], lb[0], rb[0]) + 0.5f); 217 r.top = floorf(min(lt[1], rt[1], lb[1], rb[1]) + 0.5f); 218 r.right = floorf(max(lt[0], rt[0], lb[0], rb[0]) + 0.5f); 219 r.bottom = floorf(max(lt[1], rt[1], lb[1], rb[1]) + 0.5f); 220 221 return r; 222 } 223 224 Region Transform::transform(const Region& reg) const 225 { 226 Region out; 227 if (CC_UNLIKELY(transformed())) { 228 if (CC_LIKELY(preserveRects())) { 229 Region::const_iterator it = reg.begin(); 230 Region::const_iterator const end = reg.end(); 231 while (it != end) { 232 out.orSelf(transform(*it++)); 233 } 234 } else { 235 out.set(transform(reg.bounds())); 236 } 237 } else { 238 int xpos = floorf(tx() + 0.5f); 239 int ypos = floorf(ty() + 0.5f); 240 out = reg.translate(xpos, ypos); 241 } 242 return out; 243 } 244 245 uint32_t Transform::type() const 246 { 247 if (mType & UNKNOWN_TYPE) { 248 // recompute what this transform is 249 250 const mat33& M(mMatrix); 251 const float a = M[0][0]; 252 const float b = M[1][0]; 253 const float c = M[0][1]; 254 const float d = M[1][1]; 255 const float x = M[2][0]; 256 const float y = M[2][1]; 257 258 bool scale = false; 259 uint32_t flags = ROT_0; 260 if (isZero(b) && isZero(c)) { 261 if (a<0) flags |= FLIP_H; 262 if (d<0) flags |= FLIP_V; 263 if (!absIsOne(a) || !absIsOne(d)) { 264 scale = true; 265 } 266 } else if (isZero(a) && isZero(d)) { 267 flags |= ROT_90; 268 if (b>0) flags |= FLIP_V; 269 if (c<0) flags |= FLIP_H; 270 if (!absIsOne(b) || !absIsOne(c)) { 271 scale = true; 272 } 273 } else { 274 // there is a skew component and/or a non 90 degrees rotation 275 flags = ROT_INVALID; 276 } 277 278 mType = flags << 8; 279 if (flags & ROT_INVALID) { 280 mType |= UNKNOWN; 281 } else { 282 if ((flags & ROT_90) || ((flags & ROT_180) == ROT_180)) 283 mType |= ROTATE; 284 if (flags & FLIP_H) 285 mType ^= SCALE; 286 if (flags & FLIP_V) 287 mType ^= SCALE; 288 if (scale) 289 mType |= SCALE; 290 } 291 292 if (!isZero(x) || !isZero(y)) 293 mType |= TRANSLATE; 294 } 295 return mType; 296 } 297 298 Transform Transform::inverse() const { 299 // our 3x3 matrix is always of the form of a 2x2 transformation 300 // followed by a translation: T*M, therefore: 301 // (T*M)^-1 = M^-1 * T^-1 302 Transform result; 303 if (mType <= TRANSLATE) { 304 // 1 0 0 305 // 0 1 0 306 // x y 1 307 result = *this; 308 result.mMatrix[2][0] = -result.mMatrix[2][0]; 309 result.mMatrix[2][1] = -result.mMatrix[2][1]; 310 } else { 311 // a c 0 312 // b d 0 313 // x y 1 314 const mat33& M(mMatrix); 315 const float a = M[0][0]; 316 const float b = M[1][0]; 317 const float c = M[0][1]; 318 const float d = M[1][1]; 319 const float x = M[2][0]; 320 const float y = M[2][1]; 321 322 const float idet = 1.0 / (a*d - b*c); 323 result.mMatrix[0][0] = d*idet; 324 result.mMatrix[0][1] = -c*idet; 325 result.mMatrix[1][0] = -b*idet; 326 result.mMatrix[1][1] = a*idet; 327 result.mType = mType; 328 329 vec2 T(-x, -y); 330 T = result.transform(T); 331 result.mMatrix[2][0] = T[0]; 332 result.mMatrix[2][1] = T[1]; 333 } 334 return result; 335 } 336 337 uint32_t Transform::getType() const { 338 return type() & 0xFF; 339 } 340 341 uint32_t Transform::getOrientation() const 342 { 343 return (type() >> 8) & 0xFF; 344 } 345 346 bool Transform::preserveRects() const 347 { 348 return (getOrientation() & ROT_INVALID) ? false : true; 349 } 350 351 void Transform::dump(const char* name) const 352 { 353 type(); // updates the type 354 355 String8 flags, type; 356 const mat33& m(mMatrix); 357 uint32_t orient = mType >> 8; 358 359 if (orient&ROT_INVALID) { 360 flags.append("ROT_INVALID "); 361 } else { 362 if (orient&ROT_90) { 363 flags.append("ROT_90 "); 364 } else { 365 flags.append("ROT_0 "); 366 } 367 if (orient&FLIP_V) 368 flags.append("FLIP_V "); 369 if (orient&FLIP_H) 370 flags.append("FLIP_H "); 371 } 372 373 if (!(mType&(SCALE|ROTATE|TRANSLATE))) 374 type.append("IDENTITY "); 375 if (mType&SCALE) 376 type.append("SCALE "); 377 if (mType&ROTATE) 378 type.append("ROTATE "); 379 if (mType&TRANSLATE) 380 type.append("TRANSLATE "); 381 382 ALOGD("%s 0x%08x (%s, %s)", name, mType, flags.string(), type.string()); 383 ALOGD("%.4f %.4f %.4f", m[0][0], m[1][0], m[2][0]); 384 ALOGD("%.4f %.4f %.4f", m[0][1], m[1][1], m[2][1]); 385 ALOGD("%.4f %.4f %.4f", m[0][2], m[1][2], m[2][2]); 386 } 387 388 // --------------------------------------------------------------------------- 389 390 }; // namespace android 391
