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 float Transform::tx() const { 91 return mMatrix[2][0]; 92 } 93 94 float Transform::ty() const { 95 return mMatrix[2][1]; 96 } 97 98 void Transform::reset() { 99 mType = IDENTITY; 100 for(int i=0 ; i<3 ; i++) { 101 vec3& v(mMatrix[i]); 102 for (int j=0 ; j<3 ; j++) 103 v[j] = ((i==j) ? 1.0f : 0.0f); 104 } 105 } 106 107 void Transform::set(float tx, float ty) 108 { 109 mMatrix[2][0] = tx; 110 mMatrix[2][1] = ty; 111 mMatrix[2][2] = 1.0f; 112 113 if (isZero(tx) && isZero(ty)) { 114 mType &= ~TRANSLATE; 115 } else { 116 mType |= TRANSLATE; 117 } 118 } 119 120 void Transform::set(float a, float b, float c, float d) 121 { 122 mat33& M(mMatrix); 123 M[0][0] = a; M[1][0] = b; 124 M[0][1] = c; M[1][1] = d; 125 M[0][2] = 0; M[1][2] = 0; 126 mType = UNKNOWN_TYPE; 127 } 128 129 status_t Transform::set(uint32_t flags, float w, float h) 130 { 131 if (flags & ROT_INVALID) { 132 // that's not allowed! 133 reset(); 134 return BAD_VALUE; 135 } 136 137 Transform H, V, R; 138 if (flags & ROT_90) { 139 // w & h are inverted when rotating by 90 degrees 140 swap(w, h); 141 } 142 143 if (flags & FLIP_H) { 144 H.mType = (FLIP_H << 8) | SCALE; 145 H.mType |= isZero(w) ? IDENTITY : TRANSLATE; 146 mat33& M(H.mMatrix); 147 M[0][0] = -1; 148 M[2][0] = w; 149 } 150 151 if (flags & FLIP_V) { 152 V.mType = (FLIP_V << 8) | SCALE; 153 V.mType |= isZero(h) ? IDENTITY : TRANSLATE; 154 mat33& M(V.mMatrix); 155 M[1][1] = -1; 156 M[2][1] = h; 157 } 158 159 if (flags & ROT_90) { 160 const float original_w = h; 161 R.mType = (ROT_90 << 8) | ROTATE; 162 R.mType |= isZero(original_w) ? IDENTITY : TRANSLATE; 163 mat33& M(R.mMatrix); 164 M[0][0] = 0; M[1][0] =-1; M[2][0] = original_w; 165 M[0][1] = 1; M[1][1] = 0; 166 } 167 168 *this = (R*(H*V)); 169 return NO_ERROR; 170 } 171 172 vec2 Transform::transform(const vec2& v) const { 173 vec2 r; 174 const mat33& M(mMatrix); 175 r[0] = M[0][0]*v[0] + M[1][0]*v[1] + M[2][0]; 176 r[1] = M[0][1]*v[0] + M[1][1]*v[1] + M[2][1]; 177 return r; 178 } 179 180 vec3 Transform::transform(const vec3& v) const { 181 vec3 r; 182 const mat33& M(mMatrix); 183 r[0] = M[0][0]*v[0] + M[1][0]*v[1] + M[2][0]*v[2]; 184 r[1] = M[0][1]*v[0] + M[1][1]*v[1] + M[2][1]*v[2]; 185 r[2] = M[0][2]*v[0] + M[1][2]*v[1] + M[2][2]*v[2]; 186 return r; 187 } 188 189 vec2 Transform::transform(int x, int y) const 190 { 191 return transform(vec2(x,y)); 192 } 193 194 Rect Transform::makeBounds(int w, int h) const 195 { 196 return transform( Rect(w, h) ); 197 } 198 199 Rect Transform::transform(const Rect& bounds, bool roundOutwards) const 200 { 201 Rect r; 202 vec2 lt( bounds.left, bounds.top ); 203 vec2 rt( bounds.right, bounds.top ); 204 vec2 lb( bounds.left, bounds.bottom ); 205 vec2 rb( bounds.right, bounds.bottom ); 206 207 lt = transform(lt); 208 rt = transform(rt); 209 lb = transform(lb); 210 rb = transform(rb); 211 212 if (roundOutwards) { 213 r.left = floorf(min(lt[0], rt[0], lb[0], rb[0])); 214 r.top = floorf(min(lt[1], rt[1], lb[1], rb[1])); 215 r.right = ceilf(max(lt[0], rt[0], lb[0], rb[0])); 216 r.bottom = ceilf(max(lt[1], rt[1], lb[1], rb[1])); 217 } else { 218 r.left = floorf(min(lt[0], rt[0], lb[0], rb[0]) + 0.5f); 219 r.top = floorf(min(lt[1], rt[1], lb[1], rb[1]) + 0.5f); 220 r.right = floorf(max(lt[0], rt[0], lb[0], rb[0]) + 0.5f); 221 r.bottom = floorf(max(lt[1], rt[1], lb[1], rb[1]) + 0.5f); 222 } 223 224 return r; 225 } 226 227 Region Transform::transform(const Region& reg) const 228 { 229 Region out; 230 if (CC_UNLIKELY(type() > TRANSLATE)) { 231 if (CC_LIKELY(preserveRects())) { 232 Region::const_iterator it = reg.begin(); 233 Region::const_iterator const end = reg.end(); 234 while (it != end) { 235 out.orSelf(transform(*it++)); 236 } 237 } else { 238 out.set(transform(reg.bounds())); 239 } 240 } else { 241 int xpos = floorf(tx() + 0.5f); 242 int ypos = floorf(ty() + 0.5f); 243 out = reg.translate(xpos, ypos); 244 } 245 return out; 246 } 247 248 uint32_t Transform::type() const 249 { 250 if (mType & UNKNOWN_TYPE) { 251 // recompute what this transform is 252 253 const mat33& M(mMatrix); 254 const float a = M[0][0]; 255 const float b = M[1][0]; 256 const float c = M[0][1]; 257 const float d = M[1][1]; 258 const float x = M[2][0]; 259 const float y = M[2][1]; 260 261 bool scale = false; 262 uint32_t flags = ROT_0; 263 if (isZero(b) && isZero(c)) { 264 if (a<0) flags |= FLIP_H; 265 if (d<0) flags |= FLIP_V; 266 if (!absIsOne(a) || !absIsOne(d)) { 267 scale = true; 268 } 269 } else if (isZero(a) && isZero(d)) { 270 flags |= ROT_90; 271 if (b>0) flags |= FLIP_V; 272 if (c<0) flags |= FLIP_H; 273 if (!absIsOne(b) || !absIsOne(c)) { 274 scale = true; 275 } 276 } else { 277 // there is a skew component and/or a non 90 degrees rotation 278 flags = ROT_INVALID; 279 } 280 281 mType = flags << 8; 282 if (flags & ROT_INVALID) { 283 mType |= UNKNOWN; 284 } else { 285 if ((flags & ROT_90) || ((flags & ROT_180) == ROT_180)) 286 mType |= ROTATE; 287 if (flags & FLIP_H) 288 mType ^= SCALE; 289 if (flags & FLIP_V) 290 mType ^= SCALE; 291 if (scale) 292 mType |= SCALE; 293 } 294 295 if (!isZero(x) || !isZero(y)) 296 mType |= TRANSLATE; 297 } 298 return mType; 299 } 300 301 Transform Transform::inverse() const { 302 // our 3x3 matrix is always of the form of a 2x2 transformation 303 // followed by a translation: T*M, therefore: 304 // (T*M)^-1 = M^-1 * T^-1 305 Transform result; 306 if (mType <= TRANSLATE) { 307 // 1 0 0 308 // 0 1 0 309 // x y 1 310 result = *this; 311 result.mMatrix[2][0] = -result.mMatrix[2][0]; 312 result.mMatrix[2][1] = -result.mMatrix[2][1]; 313 } else { 314 // a c 0 315 // b d 0 316 // x y 1 317 const mat33& M(mMatrix); 318 const float a = M[0][0]; 319 const float b = M[1][0]; 320 const float c = M[0][1]; 321 const float d = M[1][1]; 322 const float x = M[2][0]; 323 const float y = M[2][1]; 324 325 const float idet = 1.0 / (a*d - b*c); 326 result.mMatrix[0][0] = d*idet; 327 result.mMatrix[0][1] = -c*idet; 328 result.mMatrix[1][0] = -b*idet; 329 result.mMatrix[1][1] = a*idet; 330 result.mType = mType; 331 332 vec2 T(-x, -y); 333 T = result.transform(T); 334 result.mMatrix[2][0] = T[0]; 335 result.mMatrix[2][1] = T[1]; 336 } 337 return result; 338 } 339 340 uint32_t Transform::getType() const { 341 return type() & 0xFF; 342 } 343 344 uint32_t Transform::getOrientation() const 345 { 346 return (type() >> 8) & 0xFF; 347 } 348 349 bool Transform::preserveRects() const 350 { 351 return (getOrientation() & ROT_INVALID) ? false : true; 352 } 353 354 void Transform::dump(const char* name) const 355 { 356 type(); // updates the type 357 358 String8 flags, type; 359 const mat33& m(mMatrix); 360 uint32_t orient = mType >> 8; 361 362 if (orient&ROT_INVALID) { 363 flags.append("ROT_INVALID "); 364 } else { 365 if (orient&ROT_90) { 366 flags.append("ROT_90 "); 367 } else { 368 flags.append("ROT_0 "); 369 } 370 if (orient&FLIP_V) 371 flags.append("FLIP_V "); 372 if (orient&FLIP_H) 373 flags.append("FLIP_H "); 374 } 375 376 if (!(mType&(SCALE|ROTATE|TRANSLATE))) 377 type.append("IDENTITY "); 378 if (mType&SCALE) 379 type.append("SCALE "); 380 if (mType&ROTATE) 381 type.append("ROTATE "); 382 if (mType&TRANSLATE) 383 type.append("TRANSLATE "); 384 385 ALOGD("%s 0x%08x (%s, %s)", name, mType, flags.string(), type.string()); 386 ALOGD("%.4f %.4f %.4f", m[0][0], m[1][0], m[2][0]); 387 ALOGD("%.4f %.4f %.4f", m[0][1], m[1][1], m[2][1]); 388 ALOGD("%.4f %.4f %.4f", m[0][2], m[1][2], m[2][2]); 389 } 390 391 // --------------------------------------------------------------------------- 392 393 }; // namespace android 394
