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| 1 /* | |
| 2 * Copyright (C) 2006-2008 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 "SkInterpolator.h" | |
| 18 #include "SkMath.h" | |
| 19 #include "SkTSearch.h" | |
| 20 | |
| 21 SkInterpolatorBase::SkInterpolatorBase() { | |
| 22 fStorage = NULL; | |
| 23 fTimes = NULL; | |
| 24 SkDEBUGCODE(fTimesArray = NULL;) | |
| 25 } | |
| 26 | |
| 27 SkInterpolatorBase::~SkInterpolatorBase() { | |
| 28 if (fStorage) { | |
| 29 sk_free(fStorage); | |
| 30 } | |
| 31 } | |
| 32 | |
| 33 void SkInterpolatorBase::reset(int elemCount, int frameCount) { | |
| 34 fFlags = 0; | |
| 35 fElemCount = SkToU8(elemCount); | |
| 36 fFrameCount = SkToS16(frameCount); | |
| 37 fRepeat = SK_Scalar1; | |
| 38 if (fStorage) { | |
| 39 sk_free(fStorage); | |
| 40 fStorage = NULL; | |
| 41 fTimes = NULL; | |
| 42 SkDEBUGCODE(fTimesArray = NULL); | |
| 43 } | |
| 44 } | |
| 45 | |
| 46 /* Each value[] run is formated as: | |
| 47 <time (in msec)> | |
| 48 <blend> | |
| 49 <data[fElemCount]> | |
| 50 | |
| 51 Totaling fElemCount+2 entries per keyframe | |
| 52 */ | |
| 53 | |
| 54 bool SkInterpolatorBase::getDuration(SkMSec* startTime, SkMSec* endTime) const { | |
| 55 if (fFrameCount == 0) { | |
| 56 return false; | |
| 57 } | |
| 58 | |
| 59 if (startTime) { | |
| 60 *startTime = fTimes[0].fTime; | |
| 61 } | |
| 62 if (endTime) { | |
| 63 *endTime = fTimes[fFrameCount - 1].fTime; | |
| 64 } | |
| 65 return true; | |
| 66 } | |
| 67 | |
| 68 SkScalar SkInterpolatorBase::ComputeRelativeT(SkMSec time, SkMSec prevTime, | |
| 69 SkMSec nextTime, const SkScalar blend[4]) { | |
| 70 SkASSERT(time > prevTime && time < nextTime); | |
| 71 | |
| 72 SkScalar t = SkScalarDiv((SkScalar)(time - prevTime), | |
| 73 (SkScalar)(nextTime - prevTime)); | |
| 74 return blend ? | |
| 75 SkUnitCubicInterp(t, blend[0], blend[1], blend[2], blend[3]) : t; | |
| 76 } | |
| 77 | |
| 78 SkInterpolatorBase::Result SkInterpolatorBase::timeToT(SkMSec time, SkScalar* T, | |
| 79 int* indexPtr, SkBool* exactPtr) const { | |
| 80 SkASSERT(fFrameCount > 0); | |
| 81 Result result = kNormal_Result; | |
| 82 if (fRepeat != SK_Scalar1) { | |
| 83 SkMSec startTime = 0, endTime = 0; | |
| 84 this->getDuration(&startTime, &endTime); | |
| 85 SkMSec totalTime = endTime - startTime; | |
| 86 SkMSec offsetTime = time - startTime; | |
| 87 endTime = SkScalarMulFloor(fRepeat, totalTime); | |
| 88 if (offsetTime >= endTime) { | |
| 89 SkScalar fraction = SkScalarFraction(fRepeat); | |
| 90 offsetTime = fraction == 0 && fRepeat > 0 ? totalTime : | |
| 91 SkScalarMulFloor(fraction, totalTime); | |
| 92 result = kFreezeEnd_Result; | |
| 93 } else { | |
| 94 int mirror = fFlags & kMirror; | |
| 95 offsetTime = offsetTime % (totalTime << mirror); | |
| 96 if (offsetTime > totalTime) { // can only be true if fMirror is true | |
| 97 offsetTime = (totalTime << 1) - offsetTime; | |
| 98 } | |
| 99 } | |
| 100 time = offsetTime + startTime; | |
| 101 } | |
| 102 | |
| 103 int index = SkTSearch<SkMSec>(&fTimes[0].fTime, fFrameCount, time, | |
| 104 sizeof(SkTimeCode)); | |
| 105 | |
| 106 bool exact = true; | |
| 107 | |
| 108 if (index < 0) { | |
| 109 index = ~index; | |
| 110 if (index == 0) { | |
| 111 result = kFreezeStart_Result; | |
| 112 } else if (index == fFrameCount) { | |
| 113 if (fFlags & kReset) { | |
| 114 index = 0; | |
| 115 } else { | |
| 116 index -= 1; | |
| 117 } | |
| 118 result = kFreezeEnd_Result; | |
| 119 } else { | |
| 120 exact = false; | |
| 121 } | |
| 122 } | |
| 123 SkASSERT(index < fFrameCount); | |
| 124 const SkTimeCode* nextTime = &fTimes[index]; | |
| 125 SkMSec nextT = nextTime[0].fTime; | |
| 126 if (exact) { | |
| 127 *T = 0; | |
| 128 } else { | |
| 129 SkMSec prevT = nextTime[-1].fTime; | |
| 130 *T = ComputeRelativeT(time, prevT, nextT, nextTime[-1].fBlend); | |
| 131 } | |
| 132 *indexPtr = index; | |
| 133 *exactPtr = exact; | |
| 134 return result; | |
| 135 } | |
| 136 | |
| 137 | |
| 138 SkInterpolator::SkInterpolator() { | |
| 139 INHERITED::reset(0, 0); | |
| 140 fValues = NULL; | |
| 141 SkDEBUGCODE(fScalarsArray = NULL;) | |
| 142 } | |
| 143 | |
| 144 SkInterpolator::SkInterpolator(int elemCount, int frameCount) { | |
| 145 SkASSERT(elemCount > 0); | |
| 146 this->reset(elemCount, frameCount); | |
| 147 } | |
| 148 | |
| 149 void SkInterpolator::reset(int elemCount, int frameCount) { | |
| 150 INHERITED::reset(elemCount, frameCount); | |
| 151 fStorage = sk_malloc_throw((sizeof(SkScalar) * elemCount + | |
| 152 sizeof(SkTimeCode)) * frameCount); | |
| 153 fTimes = (SkTimeCode*) fStorage; | |
| 154 fValues = (SkScalar*) ((char*) fStorage + sizeof(SkTimeCode) * frameCount); | |
| 155 #ifdef SK_DEBUG | |
| 156 fTimesArray = (SkTimeCode(*)[10]) fTimes; | |
| 157 fScalarsArray = (SkScalar(*)[10]) fValues; | |
| 158 #endif | |
| 159 } | |
| 160 | |
| 161 #define SK_Fixed1Third (SK_Fixed1/3) | |
| 162 #define SK_Fixed2Third (SK_Fixed1*2/3) | |
| 163 | |
| 164 static const SkScalar gIdentityBlend[4] = { | |
| 165 #ifdef SK_SCALAR_IS_FLOAT | |
| 166 0.33333333f, 0.33333333f, 0.66666667f, 0.66666667f | |
| 167 #else | |
| 168 SK_Fixed1Third, SK_Fixed1Third, SK_Fixed2Third, SK_Fixed2Third | |
| 169 #endif | |
| 170 }; | |
| 171 | |
| 172 bool SkInterpolator::setKeyFrame(int index, SkMSec time, | |
| 173 const SkScalar values[], const SkScalar blend[4]) { | |
| 174 SkASSERT(values != NULL); | |
| 175 | |
| 176 if (blend == NULL) { | |
| 177 blend = gIdentityBlend; | |
| 178 } | |
| 179 | |
| 180 bool success = ~index == SkTSearch<SkMSec>(&fTimes->fTime, index, time, | |
| 181 sizeof(SkTimeCode)); | |
| 182 SkASSERT(success); | |
| 183 if (success) { | |
| 184 SkTimeCode* timeCode = &fTimes[index]; | |
| 185 timeCode->fTime = time; | |
| 186 memcpy(timeCode->fBlend, blend, sizeof(timeCode->fBlend)); | |
| 187 SkScalar* dst = &fValues[fElemCount * index]; | |
| 188 memcpy(dst, values, fElemCount * sizeof(SkScalar)); | |
| 189 } | |
| 190 return success; | |
| 191 } | |
| 192 | |
| 193 SkInterpolator::Result SkInterpolator::timeToValues(SkMSec time, | |
| 194 SkScalar values[]) const { | |
| 195 SkScalar T; | |
| 196 int index; | |
| 197 SkBool exact; | |
| 198 Result result = timeToT(time, &T, &index, &exact); | |
| 199 if (values) { | |
| 200 const SkScalar* nextSrc = &fValues[index * fElemCount]; | |
| 201 | |
| 202 if (exact) { | |
| 203 memcpy(values, nextSrc, fElemCount * sizeof(SkScalar)); | |
| 204 } else { | |
| 205 SkASSERT(index > 0); | |
| 206 | |
| 207 const SkScalar* prevSrc = nextSrc - fElemCount; | |
| 208 | |
| 209 for (int i = fElemCount - 1; i >= 0; --i) { | |
| 210 values[i] = SkScalarInterp(prevSrc[i], nextSrc[i], T); | |
| 211 } | |
| 212 } | |
| 213 } | |
| 214 return result; | |
| 215 } | |
| 216 | |
| 217 /////////////////////////////////////////////////////////////////////////////// | |
| 218 | |
| 219 typedef int Dot14; | |
| 220 #define Dot14_ONE (1 << 14) | |
| 221 #define Dot14_HALF (1 << 13) | |
| 222 | |
| 223 #define Dot14ToFloat(x) ((x) / 16384.f) | |
| 224 | |
| 225 static inline Dot14 Dot14Mul(Dot14 a, Dot14 b) { | |
| 226 return (a * b + Dot14_HALF) >> 14; | |
| 227 } | |
| 228 | |
| 229 static inline Dot14 eval_cubic(Dot14 t, Dot14 A, Dot14 B, Dot14 C) { | |
| 230 return Dot14Mul(Dot14Mul(Dot14Mul(C, t) + B, t) + A, t); | |
| 231 } | |
| 232 | |
| 233 static inline Dot14 pin_and_convert(SkScalar x) { | |
| 234 if (x <= 0) { | |
| 235 return 0; | |
| 236 } | |
| 237 if (x >= SK_Scalar1) { | |
| 238 return Dot14_ONE; | |
| 239 } | |
| 240 return SkScalarToFixed(x) >> 2; | |
| 241 } | |
| 242 | |
| 243 SkScalar SkUnitCubicInterp(SkScalar value, SkScalar bx, SkScalar by, | |
| 244 SkScalar cx, SkScalar cy) { | |
| 245 // pin to the unit-square, and convert to 2.14 | |
| 246 Dot14 x = pin_and_convert(value); | |
| 247 | |
| 248 if (x == 0) return 0; | |
| 249 if (x == Dot14_ONE) return SK_Scalar1; | |
| 250 | |
| 251 Dot14 b = pin_and_convert(bx); | |
| 252 Dot14 c = pin_and_convert(cx); | |
| 253 | |
| 254 // Now compute our coefficients from the control points | |
| 255 // t -> 3b | |
| 256 // t^2 -> 3c - 6b | |
| 257 // t^3 -> 3b - 3c + 1 | |
| 258 Dot14 A = 3*b; | |
| 259 Dot14 B = 3*(c - 2*b); | |
| 260 Dot14 C = 3*(b - c) + Dot14_ONE; | |
| 261 | |
| 262 // Now search for a t value given x | |
| 263 Dot14 t = Dot14_HALF; | |
| 264 Dot14 dt = Dot14_HALF; | |
| 265 for (int i = 0; i < 13; i++) { | |
| 266 dt >>= 1; | |
| 267 Dot14 guess = eval_cubic(t, A, B, C); | |
| 268 if (x < guess) { | |
| 269 t -= dt; | |
| 270 } else { | |
| 271 t += dt; | |
| 272 } | |
| 273 } | |
| 274 | |
| 275 // Now we have t, so compute the coeff for Y and evaluate | |
| 276 b = pin_and_convert(by); | |
| 277 c = pin_and_convert(cy); | |
| 278 A = 3*b; | |
| 279 B = 3*(c - 2*b); | |
| 280 C = 3*(b - c) + Dot14_ONE; | |
| 281 return SkFixedToScalar(eval_cubic(t, A, B, C) << 2); | |
| 282 } | |
| 283 | |
| 284 /////////////////////////////////////////////////////////////////////////////// | |
| 285 /////////////////////////////////////////////////////////////////////////////// | |
| 286 | |
| 287 #ifdef SK_DEBUG | |
| 288 | |
| 289 #ifdef SK_SUPPORT_UNITTEST | |
| 290 static SkScalar* iset(SkScalar array[3], int a, int b, int c) { | |
| 291 array[0] = SkIntToScalar(a); | |
| 292 array[1] = SkIntToScalar(b); | |
| 293 array[2] = SkIntToScalar(c); | |
| 294 return array; | |
| 295 } | |
| 296 #endif | |
| 297 | |
| 298 void SkInterpolator::UnitTest() { | |
| 299 #ifdef SK_SUPPORT_UNITTEST | |
| 300 SkInterpolator inter(3, 2); | |
| 301 SkScalar v1[3], v2[3], v[3], vv[3]; | |
| 302 Result result; | |
| 303 | |
| 304 inter.setKeyFrame(0, 100, iset(v1, 10, 20, 30), 0); | |
| 305 inter.setKeyFrame(1, 200, iset(v2, 110, 220, 330)); | |
| 306 | |
| 307 result = inter.timeToValues(0, v); | |
| 308 SkASSERT(result == kFreezeStart_Result); | |
| 309 SkASSERT(memcmp(v, v1, sizeof(v)) == 0); | |
| 310 | |
| 311 result = inter.timeToValues(99, v); | |
| 312 SkASSERT(result == kFreezeStart_Result); | |
| 313 SkASSERT(memcmp(v, v1, sizeof(v)) == 0); | |
| 314 | |
| 315 result = inter.timeToValues(100, v); | |
| 316 SkASSERT(result == kNormal_Result); | |
| 317 SkASSERT(memcmp(v, v1, sizeof(v)) == 0); | |
| 318 | |
| 319 result = inter.timeToValues(200, v); | |
| 320 SkASSERT(result == kNormal_Result); | |
| 321 SkASSERT(memcmp(v, v2, sizeof(v)) == 0); | |
| 322 | |
| 323 result = inter.timeToValues(201, v); | |
| 324 SkASSERT(result == kFreezeEnd_Result); | |
| 325 SkASSERT(memcmp(v, v2, sizeof(v)) == 0); | |
| 326 | |
| 327 result = inter.timeToValues(150, v); | |
| 328 SkASSERT(result == kNormal_Result); | |
| 329 SkASSERT(memcmp(v, iset(vv, 60, 120, 180), sizeof(v)) == 0); | |
| 330 | |
| 331 result = inter.timeToValues(125, v); | |
| 332 SkASSERT(result == kNormal_Result); | |
| 333 result = inter.timeToValues(175, v); | |
| 334 SkASSERT(result == kNormal_Result); | |
| 335 #endif | |
| 336 } | |
| 337 | |
| 338 #endif | |
| 339 | |
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