epoger@google.com | ec3ed6a | 2011-07-28 14:26:00 +0000 | [diff] [blame] | 1 | /* |
| 2 | * Copyright 2006 The Android Open Source Project |
| 3 | * |
| 4 | * Use of this source code is governed by a BSD-style license that can be |
| 5 | * found in the LICENSE file. |
| 6 | */ |
| 7 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 8 | #include "SkMatrix.h" |
| 9 | #include "Sk64.h" |
| 10 | #include "SkFloatBits.h" |
reed@android.com | 3174558 | 2009-07-08 14:46:11 +0000 | [diff] [blame] | 11 | #include "SkScalarCompare.h" |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 12 | #include "SkString.h" |
| 13 | |
| 14 | #ifdef SK_SCALAR_IS_FLOAT |
| 15 | #define kMatrix22Elem SK_Scalar1 |
reed@android.com | ab7ac02 | 2009-09-18 13:38:43 +0000 | [diff] [blame] | 16 | |
| 17 | static inline float SkDoubleToFloat(double x) { |
| 18 | return static_cast<float>(x); |
| 19 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 20 | #else |
| 21 | #define kMatrix22Elem SK_Fract1 |
| 22 | #endif |
| 23 | |
| 24 | /* [scale-x skew-x trans-x] [X] [X'] |
| 25 | [skew-y scale-y trans-y] * [Y] = [Y'] |
| 26 | [persp-0 persp-1 persp-2] [1] [1 ] |
| 27 | */ |
| 28 | |
| 29 | void SkMatrix::reset() { |
| 30 | fMat[kMScaleX] = fMat[kMScaleY] = SK_Scalar1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 31 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 32 | fMat[kMTransX] = fMat[kMTransY] = |
| 33 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 34 | fMat[kMPersp2] = kMatrix22Elem; |
| 35 | |
| 36 | this->setTypeMask(kIdentity_Mask | kRectStaysRect_Mask); |
| 37 | } |
| 38 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 39 | // this guy aligns with the masks, so we can compute a mask from a varaible 0/1 |
| 40 | enum { |
| 41 | kTranslate_Shift, |
| 42 | kScale_Shift, |
| 43 | kAffine_Shift, |
| 44 | kPerspective_Shift, |
| 45 | kRectStaysRect_Shift |
| 46 | }; |
| 47 | |
| 48 | #ifdef SK_SCALAR_IS_FLOAT |
| 49 | static const int32_t kScalar1Int = 0x3f800000; |
| 50 | static const int32_t kPersp1Int = 0x3f800000; |
| 51 | #else |
| 52 | #define scalarAsInt(x) (x) |
| 53 | static const int32_t kScalar1Int = (1 << 16); |
| 54 | static const int32_t kPersp1Int = (1 << 30); |
| 55 | #endif |
| 56 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 57 | uint8_t SkMatrix::computePerspectiveTypeMask() const { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 58 | #ifdef SK_SCALAR_SLOW_COMPARES |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 59 | if (SkScalarAs2sCompliment(fMat[kMPersp0]) | |
| 60 | SkScalarAs2sCompliment(fMat[kMPersp1]) | |
| 61 | (SkScalarAs2sCompliment(fMat[kMPersp2]) - kPersp1Int)) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 62 | return SkToU8(kORableMasks); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 63 | } |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 64 | #else |
| 65 | // Benchmarking suggests that replacing this set of SkScalarAs2sCompliment |
| 66 | // is a win, but replacing those below is not. We don't yet understand |
| 67 | // that result. |
| 68 | if (fMat[kMPersp0] != 0 || fMat[kMPersp1] != 0 || |
| 69 | fMat[kMPersp2] != kMatrix22Elem) { |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 70 | // If this is a perspective transform, we return true for all other |
bsalomon@google.com | 19263b1 | 2012-07-13 13:36:38 +0000 | [diff] [blame] | 71 | // transform flags - this does not disable any optimizations, respects |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 72 | // the rule that the type mask must be conservative, and speeds up |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 73 | // type mask computation. |
| 74 | return SkToU8(kORableMasks); |
| 75 | } |
| 76 | #endif |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 77 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 78 | return SkToU8(kOnlyPerspectiveValid_Mask | kUnknown_Mask); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 79 | } |
| 80 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 81 | uint8_t SkMatrix::computeTypeMask() const { |
| 82 | unsigned mask = 0; |
| 83 | |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 84 | #ifdef SK_SCALAR_SLOW_COMPARES |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 85 | if (SkScalarAs2sCompliment(fMat[kMPersp0]) | |
| 86 | SkScalarAs2sCompliment(fMat[kMPersp1]) | |
| 87 | (SkScalarAs2sCompliment(fMat[kMPersp2]) - kPersp1Int)) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 88 | return SkToU8(kORableMasks); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 89 | } |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 90 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 91 | if (SkScalarAs2sCompliment(fMat[kMTransX]) | |
| 92 | SkScalarAs2sCompliment(fMat[kMTransY])) { |
| 93 | mask |= kTranslate_Mask; |
| 94 | } |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 95 | #else |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 96 | if (fMat[kMPersp0] != 0 || fMat[kMPersp1] != 0 || |
tomhudson@google.com | 521ed7c | 2011-06-06 17:21:44 +0000 | [diff] [blame] | 97 | fMat[kMPersp2] != kMatrix22Elem) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 98 | // Once it is determined that that this is a perspective transform, |
| 99 | // all other flags are moot as far as optimizations are concerned. |
| 100 | return SkToU8(kORableMasks); |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 101 | } |
| 102 | |
| 103 | if (fMat[kMTransX] != 0 || fMat[kMTransY] != 0) { |
| 104 | mask |= kTranslate_Mask; |
| 105 | } |
| 106 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 107 | |
| 108 | int m00 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleX]); |
| 109 | int m01 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewX]); |
| 110 | int m10 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewY]); |
| 111 | int m11 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleY]); |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 112 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 113 | if (m01 | m10) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 114 | // The skew components may be scale-inducing, unless we are dealing |
| 115 | // with a pure rotation. Testing for a pure rotation is expensive, |
| 116 | // so we opt for being conservative by always setting the scale bit. |
| 117 | // along with affine. |
| 118 | // By doing this, we are also ensuring that matrices have the same |
| 119 | // type masks as their inverses. |
| 120 | mask |= kAffine_Mask | kScale_Mask; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 121 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 122 | // For rectStaysRect, in the affine case, we only need check that |
| 123 | // the primary diagonal is all zeros and that the secondary diagonal |
| 124 | // is all non-zero. |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 125 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 126 | // map non-zero to 1 |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 127 | m01 = m01 != 0; |
| 128 | m10 = m10 != 0; |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 129 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 130 | int dp0 = 0 == (m00 | m11) ; // true if both are 0 |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 131 | int ds1 = m01 & m10; // true if both are 1 |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 132 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 133 | mask |= (dp0 & ds1) << kRectStaysRect_Shift; |
| 134 | } else { |
| 135 | // Only test for scale explicitly if not affine, since affine sets the |
| 136 | // scale bit. |
| 137 | if ((m00 - kScalar1Int) | (m11 - kScalar1Int)) { |
| 138 | mask |= kScale_Mask; |
| 139 | } |
| 140 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 141 | // Not affine, therefore we already know secondary diagonal is |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 142 | // all zeros, so we just need to check that primary diagonal is |
| 143 | // all non-zero. |
| 144 | |
| 145 | // map non-zero to 1 |
| 146 | m00 = m00 != 0; |
| 147 | m11 = m11 != 0; |
| 148 | |
| 149 | // record if the (p)rimary diagonal is all non-zero |
| 150 | mask |= (m00 & m11) << kRectStaysRect_Shift; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 151 | } |
| 152 | |
| 153 | return SkToU8(mask); |
| 154 | } |
| 155 | |
| 156 | /////////////////////////////////////////////////////////////////////////////// |
| 157 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 158 | #ifdef SK_SCALAR_IS_FLOAT |
| 159 | |
| 160 | bool operator==(const SkMatrix& a, const SkMatrix& b) { |
| 161 | const SkScalar* SK_RESTRICT ma = a.fMat; |
| 162 | const SkScalar* SK_RESTRICT mb = b.fMat; |
| 163 | |
| 164 | return ma[0] == mb[0] && ma[1] == mb[1] && ma[2] == mb[2] && |
| 165 | ma[3] == mb[3] && ma[4] == mb[4] && ma[5] == mb[5] && |
| 166 | ma[6] == mb[6] && ma[7] == mb[7] && ma[8] == mb[8]; |
| 167 | } |
| 168 | |
| 169 | #endif |
| 170 | |
| 171 | /////////////////////////////////////////////////////////////////////////////// |
| 172 | |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 173 | bool SkMatrix::isSimilarity(SkScalar tol) const { |
| 174 | // if identity or translate matrix |
| 175 | TypeMask mask = this->getType(); |
| 176 | if (mask <= kTranslate_Mask) { |
| 177 | return true; |
| 178 | } |
| 179 | if (mask & kPerspective_Mask) { |
| 180 | return false; |
| 181 | } |
| 182 | |
| 183 | SkScalar mx = fMat[kMScaleX]; |
| 184 | SkScalar my = fMat[kMScaleY]; |
| 185 | // if no skew, can just compare scale factors |
| 186 | if (!(mask & kAffine_Mask)) { |
| 187 | return !SkScalarNearlyZero(mx) && SkScalarNearlyEqual(SkScalarAbs(mx), SkScalarAbs(my)); |
| 188 | } |
| 189 | SkScalar sx = fMat[kMSkewX]; |
| 190 | SkScalar sy = fMat[kMSkewY]; |
| 191 | |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 192 | // TODO: I (rphillips) think there should be an || in here (see preservesRightAngles) |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 193 | // degenerate matrix, non-similarity |
| 194 | if (SkScalarNearlyZero(mx) && SkScalarNearlyZero(my) |
| 195 | && SkScalarNearlyZero(sx) && SkScalarNearlyZero(sy)) { |
| 196 | return false; |
| 197 | } |
| 198 | |
| 199 | // it has scales and skews, but it could also be rotation, check it out. |
| 200 | SkVector vec[2]; |
| 201 | vec[0].set(mx, sx); |
| 202 | vec[1].set(sy, my); |
| 203 | |
| 204 | return SkScalarNearlyZero(vec[0].dot(vec[1]), SkScalarSquare(tol)) && |
| 205 | SkScalarNearlyEqual(vec[0].lengthSqd(), vec[1].lengthSqd(), |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 206 | SkScalarSquare(tol)); |
| 207 | } |
| 208 | |
| 209 | bool SkMatrix::preservesRightAngles(SkScalar tol) const { |
| 210 | TypeMask mask = this->getType(); |
skia.committer@gmail.com | 07d3a65 | 2013-04-10 07:01:15 +0000 | [diff] [blame] | 211 | |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 212 | if (mask <= (SkMatrix::kTranslate_Mask | SkMatrix::kScale_Mask)) { |
| 213 | // identity, translate and/or scale |
| 214 | return true; |
| 215 | } |
| 216 | if (mask & kPerspective_Mask) { |
| 217 | return false; |
| 218 | } |
| 219 | |
| 220 | SkASSERT(mask & kAffine_Mask); |
| 221 | |
| 222 | SkScalar mx = fMat[kMScaleX]; |
| 223 | SkScalar my = fMat[kMScaleY]; |
| 224 | SkScalar sx = fMat[kMSkewX]; |
| 225 | SkScalar sy = fMat[kMSkewY]; |
| 226 | |
| 227 | if ((SkScalarNearlyZero(mx) && SkScalarNearlyZero(sx)) || |
| 228 | (SkScalarNearlyZero(my) && SkScalarNearlyZero(sy))) { |
| 229 | // degenerate matrix |
| 230 | return false; |
| 231 | } |
| 232 | |
| 233 | // it has scales and skews, but it could also be rotation, check it out. |
| 234 | SkVector vec[2]; |
| 235 | vec[0].set(mx, sx); |
| 236 | vec[1].set(sy, my); |
| 237 | |
| 238 | return SkScalarNearlyZero(vec[0].dot(vec[1]), SkScalarSquare(tol)) && |
| 239 | SkScalarNearlyEqual(vec[0].lengthSqd(), vec[1].lengthSqd(), |
| 240 | SkScalarSquare(tol)); |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 241 | } |
| 242 | |
| 243 | /////////////////////////////////////////////////////////////////////////////// |
| 244 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 245 | void SkMatrix::setTranslate(SkScalar dx, SkScalar dy) { |
reed@android.com | 3174558 | 2009-07-08 14:46:11 +0000 | [diff] [blame] | 246 | if (SkScalarToCompareType(dx) || SkScalarToCompareType(dy)) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 247 | fMat[kMTransX] = dx; |
| 248 | fMat[kMTransY] = dy; |
| 249 | |
| 250 | fMat[kMScaleX] = fMat[kMScaleY] = SK_Scalar1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 251 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 252 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 253 | fMat[kMPersp2] = kMatrix22Elem; |
| 254 | |
| 255 | this->setTypeMask(kTranslate_Mask | kRectStaysRect_Mask); |
| 256 | } else { |
| 257 | this->reset(); |
| 258 | } |
| 259 | } |
| 260 | |
| 261 | bool SkMatrix::preTranslate(SkScalar dx, SkScalar dy) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 262 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 263 | SkMatrix m; |
| 264 | m.setTranslate(dx, dy); |
| 265 | return this->preConcat(m); |
| 266 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 267 | |
reed@android.com | 3174558 | 2009-07-08 14:46:11 +0000 | [diff] [blame] | 268 | if (SkScalarToCompareType(dx) || SkScalarToCompareType(dy)) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 269 | fMat[kMTransX] += SkScalarMul(fMat[kMScaleX], dx) + |
| 270 | SkScalarMul(fMat[kMSkewX], dy); |
| 271 | fMat[kMTransY] += SkScalarMul(fMat[kMSkewY], dx) + |
| 272 | SkScalarMul(fMat[kMScaleY], dy); |
| 273 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 274 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 275 | } |
| 276 | return true; |
| 277 | } |
| 278 | |
| 279 | bool SkMatrix::postTranslate(SkScalar dx, SkScalar dy) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 280 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 281 | SkMatrix m; |
| 282 | m.setTranslate(dx, dy); |
| 283 | return this->postConcat(m); |
| 284 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 285 | |
reed@android.com | 3174558 | 2009-07-08 14:46:11 +0000 | [diff] [blame] | 286 | if (SkScalarToCompareType(dx) || SkScalarToCompareType(dy)) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 287 | fMat[kMTransX] += dx; |
| 288 | fMat[kMTransY] += dy; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 289 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 290 | } |
| 291 | return true; |
| 292 | } |
| 293 | |
| 294 | /////////////////////////////////////////////////////////////////////////////// |
| 295 | |
| 296 | void SkMatrix::setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 297 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 298 | this->reset(); |
| 299 | } else { |
| 300 | fMat[kMScaleX] = sx; |
| 301 | fMat[kMScaleY] = sy; |
| 302 | fMat[kMTransX] = px - SkScalarMul(sx, px); |
| 303 | fMat[kMTransY] = py - SkScalarMul(sy, py); |
| 304 | fMat[kMPersp2] = kMatrix22Elem; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 305 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 306 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 307 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 308 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 309 | this->setTypeMask(kScale_Mask | kTranslate_Mask | kRectStaysRect_Mask); |
| 310 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 311 | } |
| 312 | |
| 313 | void SkMatrix::setScale(SkScalar sx, SkScalar sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 314 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 315 | this->reset(); |
| 316 | } else { |
| 317 | fMat[kMScaleX] = sx; |
| 318 | fMat[kMScaleY] = sy; |
| 319 | fMat[kMPersp2] = kMatrix22Elem; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 320 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 321 | fMat[kMTransX] = fMat[kMTransY] = |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 322 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 323 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 324 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 325 | this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); |
| 326 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 327 | } |
| 328 | |
bsalomon@google.com | 5c63865 | 2011-07-18 19:31:59 +0000 | [diff] [blame] | 329 | bool SkMatrix::setIDiv(int divx, int divy) { |
| 330 | if (!divx || !divy) { |
| 331 | return false; |
| 332 | } |
| 333 | this->setScale(SK_Scalar1 / divx, SK_Scalar1 / divy); |
| 334 | return true; |
| 335 | } |
| 336 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 337 | bool SkMatrix::preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 338 | SkMatrix m; |
| 339 | m.setScale(sx, sy, px, py); |
| 340 | return this->preConcat(m); |
| 341 | } |
| 342 | |
| 343 | bool SkMatrix::preScale(SkScalar sx, SkScalar sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 344 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 345 | return true; |
| 346 | } |
| 347 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 348 | #ifdef SK_SCALAR_IS_FIXED |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 349 | SkMatrix m; |
| 350 | m.setScale(sx, sy); |
| 351 | return this->preConcat(m); |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 352 | #else |
| 353 | // the assumption is that these multiplies are very cheap, and that |
| 354 | // a full concat and/or just computing the matrix type is more expensive. |
| 355 | // Also, the fixed-point case checks for overflow, but the float doesn't, |
| 356 | // so we can get away with these blind multiplies. |
| 357 | |
| 358 | fMat[kMScaleX] = SkScalarMul(fMat[kMScaleX], sx); |
| 359 | fMat[kMSkewY] = SkScalarMul(fMat[kMSkewY], sx); |
| 360 | fMat[kMPersp0] = SkScalarMul(fMat[kMPersp0], sx); |
| 361 | |
| 362 | fMat[kMSkewX] = SkScalarMul(fMat[kMSkewX], sy); |
| 363 | fMat[kMScaleY] = SkScalarMul(fMat[kMScaleY], sy); |
| 364 | fMat[kMPersp1] = SkScalarMul(fMat[kMPersp1], sy); |
| 365 | |
| 366 | this->orTypeMask(kScale_Mask); |
| 367 | return true; |
| 368 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 369 | } |
| 370 | |
| 371 | bool SkMatrix::postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 372 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 373 | return true; |
| 374 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 375 | SkMatrix m; |
| 376 | m.setScale(sx, sy, px, py); |
| 377 | return this->postConcat(m); |
| 378 | } |
| 379 | |
| 380 | bool SkMatrix::postScale(SkScalar sx, SkScalar sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 381 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 382 | return true; |
| 383 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 384 | SkMatrix m; |
| 385 | m.setScale(sx, sy); |
| 386 | return this->postConcat(m); |
| 387 | } |
| 388 | |
| 389 | #ifdef SK_SCALAR_IS_FIXED |
| 390 | static inline SkFixed roundidiv(SkFixed numer, int denom) { |
| 391 | int ns = numer >> 31; |
| 392 | int ds = denom >> 31; |
| 393 | numer = (numer ^ ns) - ns; |
| 394 | denom = (denom ^ ds) - ds; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 395 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 396 | SkFixed answer = (numer + (denom >> 1)) / denom; |
| 397 | int as = ns ^ ds; |
| 398 | return (answer ^ as) - as; |
| 399 | } |
| 400 | #endif |
| 401 | |
| 402 | // this guy perhaps can go away, if we have a fract/high-precision way to |
| 403 | // scale matrices |
| 404 | bool SkMatrix::postIDiv(int divx, int divy) { |
| 405 | if (divx == 0 || divy == 0) { |
| 406 | return false; |
| 407 | } |
| 408 | |
| 409 | #ifdef SK_SCALAR_IS_FIXED |
| 410 | fMat[kMScaleX] = roundidiv(fMat[kMScaleX], divx); |
| 411 | fMat[kMSkewX] = roundidiv(fMat[kMSkewX], divx); |
| 412 | fMat[kMTransX] = roundidiv(fMat[kMTransX], divx); |
| 413 | |
| 414 | fMat[kMScaleY] = roundidiv(fMat[kMScaleY], divy); |
| 415 | fMat[kMSkewY] = roundidiv(fMat[kMSkewY], divy); |
| 416 | fMat[kMTransY] = roundidiv(fMat[kMTransY], divy); |
| 417 | #else |
| 418 | const float invX = 1.f / divx; |
| 419 | const float invY = 1.f / divy; |
| 420 | |
| 421 | fMat[kMScaleX] *= invX; |
| 422 | fMat[kMSkewX] *= invX; |
| 423 | fMat[kMTransX] *= invX; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 424 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 425 | fMat[kMScaleY] *= invY; |
| 426 | fMat[kMSkewY] *= invY; |
| 427 | fMat[kMTransY] *= invY; |
| 428 | #endif |
| 429 | |
| 430 | this->setTypeMask(kUnknown_Mask); |
| 431 | return true; |
| 432 | } |
| 433 | |
| 434 | //////////////////////////////////////////////////////////////////////////////////// |
| 435 | |
| 436 | void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV, |
| 437 | SkScalar px, SkScalar py) { |
| 438 | const SkScalar oneMinusCosV = SK_Scalar1 - cosV; |
| 439 | |
| 440 | fMat[kMScaleX] = cosV; |
| 441 | fMat[kMSkewX] = -sinV; |
| 442 | fMat[kMTransX] = SkScalarMul(sinV, py) + SkScalarMul(oneMinusCosV, px); |
| 443 | |
| 444 | fMat[kMSkewY] = sinV; |
| 445 | fMat[kMScaleY] = cosV; |
| 446 | fMat[kMTransY] = SkScalarMul(-sinV, px) + SkScalarMul(oneMinusCosV, py); |
| 447 | |
| 448 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 449 | fMat[kMPersp2] = kMatrix22Elem; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 450 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 451 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 452 | } |
| 453 | |
| 454 | void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV) { |
| 455 | fMat[kMScaleX] = cosV; |
| 456 | fMat[kMSkewX] = -sinV; |
| 457 | fMat[kMTransX] = 0; |
| 458 | |
| 459 | fMat[kMSkewY] = sinV; |
| 460 | fMat[kMScaleY] = cosV; |
| 461 | fMat[kMTransY] = 0; |
| 462 | |
| 463 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 464 | fMat[kMPersp2] = kMatrix22Elem; |
| 465 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 466 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 467 | } |
| 468 | |
| 469 | void SkMatrix::setRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
| 470 | SkScalar sinV, cosV; |
| 471 | sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); |
| 472 | this->setSinCos(sinV, cosV, px, py); |
| 473 | } |
| 474 | |
| 475 | void SkMatrix::setRotate(SkScalar degrees) { |
| 476 | SkScalar sinV, cosV; |
| 477 | sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); |
| 478 | this->setSinCos(sinV, cosV); |
| 479 | } |
| 480 | |
| 481 | bool SkMatrix::preRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
| 482 | SkMatrix m; |
| 483 | m.setRotate(degrees, px, py); |
| 484 | return this->preConcat(m); |
| 485 | } |
| 486 | |
| 487 | bool SkMatrix::preRotate(SkScalar degrees) { |
| 488 | SkMatrix m; |
| 489 | m.setRotate(degrees); |
| 490 | return this->preConcat(m); |
| 491 | } |
| 492 | |
| 493 | bool SkMatrix::postRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
| 494 | SkMatrix m; |
| 495 | m.setRotate(degrees, px, py); |
| 496 | return this->postConcat(m); |
| 497 | } |
| 498 | |
| 499 | bool SkMatrix::postRotate(SkScalar degrees) { |
| 500 | SkMatrix m; |
| 501 | m.setRotate(degrees); |
| 502 | return this->postConcat(m); |
| 503 | } |
| 504 | |
| 505 | //////////////////////////////////////////////////////////////////////////////////// |
| 506 | |
| 507 | void SkMatrix::setSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 508 | fMat[kMScaleX] = SK_Scalar1; |
| 509 | fMat[kMSkewX] = sx; |
| 510 | fMat[kMTransX] = SkScalarMul(-sx, py); |
| 511 | |
| 512 | fMat[kMSkewY] = sy; |
| 513 | fMat[kMScaleY] = SK_Scalar1; |
| 514 | fMat[kMTransY] = SkScalarMul(-sy, px); |
| 515 | |
| 516 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 517 | fMat[kMPersp2] = kMatrix22Elem; |
| 518 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 519 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 520 | } |
| 521 | |
| 522 | void SkMatrix::setSkew(SkScalar sx, SkScalar sy) { |
| 523 | fMat[kMScaleX] = SK_Scalar1; |
| 524 | fMat[kMSkewX] = sx; |
| 525 | fMat[kMTransX] = 0; |
| 526 | |
| 527 | fMat[kMSkewY] = sy; |
| 528 | fMat[kMScaleY] = SK_Scalar1; |
| 529 | fMat[kMTransY] = 0; |
| 530 | |
| 531 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 532 | fMat[kMPersp2] = kMatrix22Elem; |
| 533 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 534 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 535 | } |
| 536 | |
| 537 | bool SkMatrix::preSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 538 | SkMatrix m; |
| 539 | m.setSkew(sx, sy, px, py); |
| 540 | return this->preConcat(m); |
| 541 | } |
| 542 | |
| 543 | bool SkMatrix::preSkew(SkScalar sx, SkScalar sy) { |
| 544 | SkMatrix m; |
| 545 | m.setSkew(sx, sy); |
| 546 | return this->preConcat(m); |
| 547 | } |
| 548 | |
| 549 | bool SkMatrix::postSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 550 | SkMatrix m; |
| 551 | m.setSkew(sx, sy, px, py); |
| 552 | return this->postConcat(m); |
| 553 | } |
| 554 | |
| 555 | bool SkMatrix::postSkew(SkScalar sx, SkScalar sy) { |
| 556 | SkMatrix m; |
| 557 | m.setSkew(sx, sy); |
| 558 | return this->postConcat(m); |
| 559 | } |
| 560 | |
| 561 | /////////////////////////////////////////////////////////////////////////////// |
| 562 | |
| 563 | bool SkMatrix::setRectToRect(const SkRect& src, const SkRect& dst, |
| 564 | ScaleToFit align) |
| 565 | { |
| 566 | if (src.isEmpty()) { |
| 567 | this->reset(); |
| 568 | return false; |
| 569 | } |
| 570 | |
| 571 | if (dst.isEmpty()) { |
reed@android.com | 4516f47 | 2009-06-29 16:25:36 +0000 | [diff] [blame] | 572 | sk_bzero(fMat, 8 * sizeof(SkScalar)); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 573 | this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); |
| 574 | } else { |
| 575 | SkScalar tx, sx = SkScalarDiv(dst.width(), src.width()); |
| 576 | SkScalar ty, sy = SkScalarDiv(dst.height(), src.height()); |
| 577 | bool xLarger = false; |
| 578 | |
| 579 | if (align != kFill_ScaleToFit) { |
| 580 | if (sx > sy) { |
| 581 | xLarger = true; |
| 582 | sx = sy; |
| 583 | } else { |
| 584 | sy = sx; |
| 585 | } |
| 586 | } |
| 587 | |
| 588 | tx = dst.fLeft - SkScalarMul(src.fLeft, sx); |
| 589 | ty = dst.fTop - SkScalarMul(src.fTop, sy); |
| 590 | if (align == kCenter_ScaleToFit || align == kEnd_ScaleToFit) { |
| 591 | SkScalar diff; |
| 592 | |
| 593 | if (xLarger) { |
| 594 | diff = dst.width() - SkScalarMul(src.width(), sy); |
| 595 | } else { |
| 596 | diff = dst.height() - SkScalarMul(src.height(), sy); |
| 597 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 598 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 599 | if (align == kCenter_ScaleToFit) { |
| 600 | diff = SkScalarHalf(diff); |
| 601 | } |
| 602 | |
| 603 | if (xLarger) { |
| 604 | tx += diff; |
| 605 | } else { |
| 606 | ty += diff; |
| 607 | } |
| 608 | } |
| 609 | |
| 610 | fMat[kMScaleX] = sx; |
| 611 | fMat[kMScaleY] = sy; |
| 612 | fMat[kMTransX] = tx; |
| 613 | fMat[kMTransY] = ty; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 614 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 615 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 616 | |
reed@google.com | 97cd69c | 2012-10-12 14:35:48 +0000 | [diff] [blame] | 617 | unsigned mask = kRectStaysRect_Mask; |
| 618 | if (sx != SK_Scalar1 || sy != SK_Scalar1) { |
| 619 | mask |= kScale_Mask; |
| 620 | } |
| 621 | if (tx || ty) { |
| 622 | mask |= kTranslate_Mask; |
| 623 | } |
| 624 | this->setTypeMask(mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 625 | } |
| 626 | // shared cleanup |
| 627 | fMat[kMPersp2] = kMatrix22Elem; |
| 628 | return true; |
| 629 | } |
| 630 | |
| 631 | /////////////////////////////////////////////////////////////////////////////// |
| 632 | |
| 633 | #ifdef SK_SCALAR_IS_FLOAT |
| 634 | static inline int fixmuladdmul(float a, float b, float c, float d, |
| 635 | float* result) { |
reed@android.com | ab7ac02 | 2009-09-18 13:38:43 +0000 | [diff] [blame] | 636 | *result = SkDoubleToFloat((double)a * b + (double)c * d); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 637 | return true; |
| 638 | } |
| 639 | |
| 640 | static inline bool rowcol3(const float row[], const float col[], |
| 641 | float* result) { |
| 642 | *result = row[0] * col[0] + row[1] * col[3] + row[2] * col[6]; |
| 643 | return true; |
| 644 | } |
| 645 | |
| 646 | static inline int negifaddoverflows(float& result, float a, float b) { |
| 647 | result = a + b; |
| 648 | return 0; |
| 649 | } |
| 650 | #else |
| 651 | static inline bool fixmuladdmul(SkFixed a, SkFixed b, SkFixed c, SkFixed d, |
| 652 | SkFixed* result) { |
| 653 | Sk64 tmp1, tmp2; |
| 654 | tmp1.setMul(a, b); |
| 655 | tmp2.setMul(c, d); |
| 656 | tmp1.add(tmp2); |
| 657 | if (tmp1.isFixed()) { |
| 658 | *result = tmp1.getFixed(); |
| 659 | return true; |
| 660 | } |
| 661 | return false; |
| 662 | } |
| 663 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 664 | static inline SkFixed fracmuladdmul(SkFixed a, SkFract b, SkFixed c, |
| 665 | SkFract d) { |
| 666 | Sk64 tmp1, tmp2; |
| 667 | tmp1.setMul(a, b); |
| 668 | tmp2.setMul(c, d); |
| 669 | tmp1.add(tmp2); |
| 670 | return tmp1.getFract(); |
| 671 | } |
| 672 | |
| 673 | static inline bool rowcol3(const SkFixed row[], const SkFixed col[], |
| 674 | SkFixed* result) { |
| 675 | Sk64 tmp1, tmp2; |
| 676 | |
| 677 | tmp1.setMul(row[0], col[0]); // N * fixed |
| 678 | tmp2.setMul(row[1], col[3]); // N * fixed |
| 679 | tmp1.add(tmp2); |
| 680 | |
| 681 | tmp2.setMul(row[2], col[6]); // N * fract |
| 682 | tmp2.roundRight(14); // make it fixed |
| 683 | tmp1.add(tmp2); |
| 684 | |
| 685 | if (tmp1.isFixed()) { |
| 686 | *result = tmp1.getFixed(); |
| 687 | return true; |
| 688 | } |
| 689 | return false; |
| 690 | } |
| 691 | |
| 692 | static inline int negifaddoverflows(SkFixed& result, SkFixed a, SkFixed b) { |
| 693 | SkFixed c = a + b; |
| 694 | result = c; |
| 695 | return (c ^ a) & (c ^ b); |
| 696 | } |
| 697 | #endif |
| 698 | |
| 699 | static void normalize_perspective(SkScalar mat[9]) { |
| 700 | if (SkScalarAbs(mat[SkMatrix::kMPersp2]) > kMatrix22Elem) { |
| 701 | for (int i = 0; i < 9; i++) |
| 702 | mat[i] = SkScalarHalf(mat[i]); |
| 703 | } |
| 704 | } |
| 705 | |
| 706 | bool SkMatrix::setConcat(const SkMatrix& a, const SkMatrix& b) { |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 707 | TypeMask aType = a.getPerspectiveTypeMaskOnly(); |
| 708 | TypeMask bType = b.getPerspectiveTypeMaskOnly(); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 709 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 710 | if (a.isTriviallyIdentity()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 711 | *this = b; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 712 | } else if (b.isTriviallyIdentity()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 713 | *this = a; |
| 714 | } else { |
| 715 | SkMatrix tmp; |
| 716 | |
| 717 | if ((aType | bType) & kPerspective_Mask) { |
| 718 | if (!rowcol3(&a.fMat[0], &b.fMat[0], &tmp.fMat[kMScaleX])) { |
| 719 | return false; |
| 720 | } |
| 721 | if (!rowcol3(&a.fMat[0], &b.fMat[1], &tmp.fMat[kMSkewX])) { |
| 722 | return false; |
| 723 | } |
| 724 | if (!rowcol3(&a.fMat[0], &b.fMat[2], &tmp.fMat[kMTransX])) { |
| 725 | return false; |
| 726 | } |
| 727 | |
| 728 | if (!rowcol3(&a.fMat[3], &b.fMat[0], &tmp.fMat[kMSkewY])) { |
| 729 | return false; |
| 730 | } |
| 731 | if (!rowcol3(&a.fMat[3], &b.fMat[1], &tmp.fMat[kMScaleY])) { |
| 732 | return false; |
| 733 | } |
| 734 | if (!rowcol3(&a.fMat[3], &b.fMat[2], &tmp.fMat[kMTransY])) { |
| 735 | return false; |
| 736 | } |
| 737 | |
| 738 | if (!rowcol3(&a.fMat[6], &b.fMat[0], &tmp.fMat[kMPersp0])) { |
| 739 | return false; |
| 740 | } |
| 741 | if (!rowcol3(&a.fMat[6], &b.fMat[1], &tmp.fMat[kMPersp1])) { |
| 742 | return false; |
| 743 | } |
| 744 | if (!rowcol3(&a.fMat[6], &b.fMat[2], &tmp.fMat[kMPersp2])) { |
| 745 | return false; |
| 746 | } |
| 747 | |
| 748 | normalize_perspective(tmp.fMat); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 749 | tmp.setTypeMask(kUnknown_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 750 | } else { // not perspective |
| 751 | if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMScaleX], |
| 752 | a.fMat[kMSkewX], b.fMat[kMSkewY], &tmp.fMat[kMScaleX])) { |
| 753 | return false; |
| 754 | } |
| 755 | if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMSkewX], |
| 756 | a.fMat[kMSkewX], b.fMat[kMScaleY], &tmp.fMat[kMSkewX])) { |
| 757 | return false; |
| 758 | } |
| 759 | if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMTransX], |
| 760 | a.fMat[kMSkewX], b.fMat[kMTransY], &tmp.fMat[kMTransX])) { |
| 761 | return false; |
| 762 | } |
| 763 | if (negifaddoverflows(tmp.fMat[kMTransX], tmp.fMat[kMTransX], |
| 764 | a.fMat[kMTransX]) < 0) { |
| 765 | return false; |
| 766 | } |
| 767 | |
| 768 | if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMScaleX], |
| 769 | a.fMat[kMScaleY], b.fMat[kMSkewY], &tmp.fMat[kMSkewY])) { |
| 770 | return false; |
| 771 | } |
| 772 | if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMSkewX], |
| 773 | a.fMat[kMScaleY], b.fMat[kMScaleY], &tmp.fMat[kMScaleY])) { |
| 774 | return false; |
| 775 | } |
| 776 | if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMTransX], |
| 777 | a.fMat[kMScaleY], b.fMat[kMTransY], &tmp.fMat[kMTransY])) { |
| 778 | return false; |
| 779 | } |
| 780 | if (negifaddoverflows(tmp.fMat[kMTransY], tmp.fMat[kMTransY], |
| 781 | a.fMat[kMTransY]) < 0) { |
| 782 | return false; |
| 783 | } |
| 784 | |
| 785 | tmp.fMat[kMPersp0] = tmp.fMat[kMPersp1] = 0; |
| 786 | tmp.fMat[kMPersp2] = kMatrix22Elem; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 787 | //SkDebugf("Concat mat non-persp type: %d\n", tmp.getType()); |
| 788 | //SkASSERT(!(tmp.getType() & kPerspective_Mask)); |
| 789 | tmp.setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 790 | } |
| 791 | *this = tmp; |
| 792 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 793 | return true; |
| 794 | } |
| 795 | |
| 796 | bool SkMatrix::preConcat(const SkMatrix& mat) { |
| 797 | // check for identity first, so we don't do a needless copy of ourselves |
| 798 | // to ourselves inside setConcat() |
| 799 | return mat.isIdentity() || this->setConcat(*this, mat); |
| 800 | } |
| 801 | |
| 802 | bool SkMatrix::postConcat(const SkMatrix& mat) { |
| 803 | // check for identity first, so we don't do a needless copy of ourselves |
| 804 | // to ourselves inside setConcat() |
| 805 | return mat.isIdentity() || this->setConcat(mat, *this); |
| 806 | } |
| 807 | |
| 808 | /////////////////////////////////////////////////////////////////////////////// |
| 809 | |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 810 | /* Matrix inversion is very expensive, but also the place where keeping |
| 811 | precision may be most important (here and matrix concat). Hence to avoid |
| 812 | bitmap blitting artifacts when walking the inverse, we use doubles for |
| 813 | the intermediate math, even though we know that is more expensive. |
| 814 | The fixed counter part is us using Sk64 for temp calculations. |
| 815 | */ |
| 816 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 817 | #ifdef SK_SCALAR_IS_FLOAT |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 818 | typedef double SkDetScalar; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 819 | #define SkPerspMul(a, b) SkScalarMul(a, b) |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 820 | #define SkScalarMulShift(a, b, s) SkDoubleToFloat((a) * (b)) |
| 821 | static double sk_inv_determinant(const float mat[9], int isPerspective, |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 822 | int* /* (only used in Fixed case) */) { |
| 823 | double det; |
| 824 | |
| 825 | if (isPerspective) { |
| 826 | det = mat[SkMatrix::kMScaleX] * ((double)mat[SkMatrix::kMScaleY] * mat[SkMatrix::kMPersp2] - (double)mat[SkMatrix::kMTransY] * mat[SkMatrix::kMPersp1]) + |
| 827 | mat[SkMatrix::kMSkewX] * ((double)mat[SkMatrix::kMTransY] * mat[SkMatrix::kMPersp0] - (double)mat[SkMatrix::kMSkewY] * mat[SkMatrix::kMPersp2]) + |
| 828 | mat[SkMatrix::kMTransX] * ((double)mat[SkMatrix::kMSkewY] * mat[SkMatrix::kMPersp1] - (double)mat[SkMatrix::kMScaleY] * mat[SkMatrix::kMPersp0]); |
| 829 | } else { |
| 830 | det = (double)mat[SkMatrix::kMScaleX] * mat[SkMatrix::kMScaleY] - (double)mat[SkMatrix::kMSkewX] * mat[SkMatrix::kMSkewY]; |
| 831 | } |
| 832 | |
senorblanco@chromium.org | 0e21ec0 | 2010-07-20 15:20:01 +0000 | [diff] [blame] | 833 | // Since the determinant is on the order of the cube of the matrix members, |
| 834 | // compare to the cube of the default nearly-zero constant (although an |
| 835 | // estimate of the condition number would be better if it wasn't so expensive). |
| 836 | if (SkScalarNearlyZero((float)det, SK_ScalarNearlyZero * SK_ScalarNearlyZero * SK_ScalarNearlyZero)) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 837 | return 0; |
| 838 | } |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 839 | return 1.0 / det; |
| 840 | } |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 841 | // we declar a,b,c,d to all be doubles, because we want to perform |
| 842 | // double-precision muls and subtract, even though the original values are |
| 843 | // from the matrix, which are floats. |
| 844 | static float inline mul_diff_scale(double a, double b, double c, double d, |
| 845 | double scale) { |
| 846 | return SkDoubleToFloat((a * b - c * d) * scale); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 847 | } |
| 848 | #else |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 849 | typedef SkFixed SkDetScalar; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 850 | #define SkPerspMul(a, b) SkFractMul(a, b) |
| 851 | #define SkScalarMulShift(a, b, s) SkMulShift(a, b, s) |
| 852 | static void set_muladdmul(Sk64* dst, int32_t a, int32_t b, int32_t c, |
| 853 | int32_t d) { |
| 854 | Sk64 tmp; |
| 855 | dst->setMul(a, b); |
| 856 | tmp.setMul(c, d); |
| 857 | dst->add(tmp); |
| 858 | } |
| 859 | |
| 860 | static SkFixed sk_inv_determinant(const SkFixed mat[9], int isPerspective, |
| 861 | int* shift) { |
| 862 | Sk64 tmp1, tmp2; |
| 863 | |
| 864 | if (isPerspective) { |
| 865 | tmp1.setMul(mat[SkMatrix::kMScaleX], fracmuladdmul(mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp2], -mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp1])); |
| 866 | tmp2.setMul(mat[SkMatrix::kMSkewX], fracmuladdmul(mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp0], -mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp2])); |
| 867 | tmp1.add(tmp2); |
| 868 | tmp2.setMul(mat[SkMatrix::kMTransX], fracmuladdmul(mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp1], -mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp0])); |
| 869 | tmp1.add(tmp2); |
| 870 | } else { |
| 871 | tmp1.setMul(mat[SkMatrix::kMScaleX], mat[SkMatrix::kMScaleY]); |
| 872 | tmp2.setMul(mat[SkMatrix::kMSkewX], mat[SkMatrix::kMSkewY]); |
| 873 | tmp1.sub(tmp2); |
| 874 | } |
| 875 | |
| 876 | int s = tmp1.getClzAbs(); |
| 877 | *shift = s; |
| 878 | |
| 879 | SkFixed denom; |
| 880 | if (s <= 32) { |
| 881 | denom = tmp1.getShiftRight(33 - s); |
| 882 | } else { |
| 883 | denom = (int32_t)tmp1.fLo << (s - 33); |
| 884 | } |
| 885 | |
| 886 | if (denom == 0) { |
| 887 | return 0; |
| 888 | } |
| 889 | /** This could perhaps be a special fractdiv function, since both of its |
| 890 | arguments are known to have bit 31 clear and bit 30 set (when they |
| 891 | are made positive), thus eliminating the need for calling clz() |
| 892 | */ |
| 893 | return SkFractDiv(SK_Fract1, denom); |
| 894 | } |
| 895 | #endif |
| 896 | |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 897 | void SkMatrix::SetAffineIdentity(SkScalar affine[6]) { |
| 898 | affine[kAScaleX] = SK_Scalar1; |
| 899 | affine[kASkewY] = 0; |
| 900 | affine[kASkewX] = 0; |
| 901 | affine[kAScaleY] = SK_Scalar1; |
| 902 | affine[kATransX] = 0; |
| 903 | affine[kATransY] = 0; |
| 904 | } |
| 905 | |
| 906 | bool SkMatrix::asAffine(SkScalar affine[6]) const { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 907 | if (this->hasPerspective()) { |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 908 | return false; |
vandebo@chromium.org | ddbbd80 | 2010-10-26 19:45:06 +0000 | [diff] [blame] | 909 | } |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 910 | if (affine) { |
| 911 | affine[kAScaleX] = this->fMat[kMScaleX]; |
| 912 | affine[kASkewY] = this->fMat[kMSkewY]; |
| 913 | affine[kASkewX] = this->fMat[kMSkewX]; |
| 914 | affine[kAScaleY] = this->fMat[kMScaleY]; |
| 915 | affine[kATransX] = this->fMat[kMTransX]; |
| 916 | affine[kATransY] = this->fMat[kMTransY]; |
| 917 | } |
vandebo@chromium.org | ddbbd80 | 2010-10-26 19:45:06 +0000 | [diff] [blame] | 918 | return true; |
| 919 | } |
| 920 | |
bsalomon@google.com | 683c3c7 | 2012-10-31 16:50:38 +0000 | [diff] [blame] | 921 | bool SkMatrix::invertNonIdentity(SkMatrix* inv) const { |
| 922 | SkASSERT(!this->isIdentity()); |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 923 | |
| 924 | TypeMask mask = this->getType(); |
| 925 | |
| 926 | if (0 == (mask & ~(kScale_Mask | kTranslate_Mask))) { |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 927 | bool invertible = true; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 928 | if (inv) { |
| 929 | if (mask & kScale_Mask) { |
| 930 | SkScalar invX = fMat[kMScaleX]; |
| 931 | SkScalar invY = fMat[kMScaleY]; |
| 932 | if (0 == invX || 0 == invY) { |
| 933 | return false; |
| 934 | } |
| 935 | invX = SkScalarInvert(invX); |
| 936 | invY = SkScalarInvert(invY); |
| 937 | |
| 938 | // Must be careful when writing to inv, since it may be the |
| 939 | // same memory as this. |
| 940 | |
| 941 | inv->fMat[kMSkewX] = inv->fMat[kMSkewY] = |
| 942 | inv->fMat[kMPersp0] = inv->fMat[kMPersp1] = 0; |
| 943 | |
| 944 | inv->fMat[kMScaleX] = invX; |
| 945 | inv->fMat[kMScaleY] = invY; |
| 946 | inv->fMat[kMPersp2] = kMatrix22Elem; |
| 947 | inv->fMat[kMTransX] = -SkScalarMul(fMat[kMTransX], invX); |
| 948 | inv->fMat[kMTransY] = -SkScalarMul(fMat[kMTransY], invY); |
| 949 | |
| 950 | inv->setTypeMask(mask | kRectStaysRect_Mask); |
| 951 | } else { |
| 952 | // translate only |
| 953 | inv->setTranslate(-fMat[kMTransX], -fMat[kMTransY]); |
| 954 | } |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 955 | } else { // inv is NULL, just check if we're invertible |
| 956 | if (!fMat[kMScaleX] || !fMat[kMScaleY]) { |
| 957 | invertible = false; |
| 958 | } |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 959 | } |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 960 | return invertible; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 961 | } |
reed@google.com | 4a1362a | 2013-01-04 18:52:16 +0000 | [diff] [blame] | 962 | |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 963 | int isPersp = mask & kPerspective_Mask; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 964 | int shift; |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 965 | SkDetScalar scale = sk_inv_determinant(fMat, isPersp, &shift); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 966 | |
| 967 | if (scale == 0) { // underflow |
| 968 | return false; |
| 969 | } |
| 970 | |
| 971 | if (inv) { |
| 972 | SkMatrix tmp; |
bsalomon@google.com | cf9b750 | 2011-08-01 13:26:01 +0000 | [diff] [blame] | 973 | if (inv == this) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 974 | inv = &tmp; |
bsalomon@google.com | cf9b750 | 2011-08-01 13:26:01 +0000 | [diff] [blame] | 975 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 976 | |
| 977 | if (isPersp) { |
| 978 | shift = 61 - shift; |
| 979 | inv->fMat[kMScaleX] = SkScalarMulShift(SkPerspMul(fMat[kMScaleY], fMat[kMPersp2]) - SkPerspMul(fMat[kMTransY], fMat[kMPersp1]), scale, shift); |
| 980 | inv->fMat[kMSkewX] = SkScalarMulShift(SkPerspMul(fMat[kMTransX], fMat[kMPersp1]) - SkPerspMul(fMat[kMSkewX], fMat[kMPersp2]), scale, shift); |
| 981 | inv->fMat[kMTransX] = SkScalarMulShift(SkScalarMul(fMat[kMSkewX], fMat[kMTransY]) - SkScalarMul(fMat[kMTransX], fMat[kMScaleY]), scale, shift); |
| 982 | |
| 983 | inv->fMat[kMSkewY] = SkScalarMulShift(SkPerspMul(fMat[kMTransY], fMat[kMPersp0]) - SkPerspMul(fMat[kMSkewY], fMat[kMPersp2]), scale, shift); |
| 984 | inv->fMat[kMScaleY] = SkScalarMulShift(SkPerspMul(fMat[kMScaleX], fMat[kMPersp2]) - SkPerspMul(fMat[kMTransX], fMat[kMPersp0]), scale, shift); |
| 985 | inv->fMat[kMTransY] = SkScalarMulShift(SkScalarMul(fMat[kMTransX], fMat[kMSkewY]) - SkScalarMul(fMat[kMScaleX], fMat[kMTransY]), scale, shift); |
| 986 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 987 | inv->fMat[kMPersp0] = SkScalarMulShift(SkScalarMul(fMat[kMSkewY], fMat[kMPersp1]) - SkScalarMul(fMat[kMScaleY], fMat[kMPersp0]), scale, shift); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 988 | inv->fMat[kMPersp1] = SkScalarMulShift(SkScalarMul(fMat[kMSkewX], fMat[kMPersp0]) - SkScalarMul(fMat[kMScaleX], fMat[kMPersp1]), scale, shift); |
| 989 | inv->fMat[kMPersp2] = SkScalarMulShift(SkScalarMul(fMat[kMScaleX], fMat[kMScaleY]) - SkScalarMul(fMat[kMSkewX], fMat[kMSkewY]), scale, shift); |
| 990 | #ifdef SK_SCALAR_IS_FIXED |
| 991 | if (SkAbs32(inv->fMat[kMPersp2]) > SK_Fixed1) { |
| 992 | Sk64 tmp; |
| 993 | |
| 994 | tmp.set(SK_Fract1); |
| 995 | tmp.shiftLeft(16); |
| 996 | tmp.div(inv->fMat[kMPersp2], Sk64::kRound_DivOption); |
| 997 | |
| 998 | SkFract scale = tmp.get32(); |
| 999 | |
| 1000 | for (int i = 0; i < 9; i++) { |
| 1001 | inv->fMat[i] = SkFractMul(inv->fMat[i], scale); |
| 1002 | } |
| 1003 | } |
| 1004 | inv->fMat[kMPersp2] = SkFixedToFract(inv->fMat[kMPersp2]); |
| 1005 | #endif |
| 1006 | } else { // not perspective |
| 1007 | #ifdef SK_SCALAR_IS_FIXED |
| 1008 | Sk64 tx, ty; |
| 1009 | int clzNumer; |
| 1010 | |
| 1011 | // check the 2x2 for overflow |
| 1012 | { |
| 1013 | int32_t value = SkAbs32(fMat[kMScaleY]); |
| 1014 | value |= SkAbs32(fMat[kMSkewX]); |
| 1015 | value |= SkAbs32(fMat[kMScaleX]); |
| 1016 | value |= SkAbs32(fMat[kMSkewY]); |
| 1017 | clzNumer = SkCLZ(value); |
| 1018 | if (shift - clzNumer > 31) |
| 1019 | return false; // overflow |
| 1020 | } |
| 1021 | |
| 1022 | set_muladdmul(&tx, fMat[kMSkewX], fMat[kMTransY], -fMat[kMScaleY], fMat[kMTransX]); |
| 1023 | set_muladdmul(&ty, fMat[kMSkewY], fMat[kMTransX], -fMat[kMScaleX], fMat[kMTransY]); |
| 1024 | // check tx,ty for overflow |
| 1025 | clzNumer = SkCLZ(SkAbs32(tx.fHi) | SkAbs32(ty.fHi)); |
| 1026 | if (shift - clzNumer > 14) { |
| 1027 | return false; // overflow |
| 1028 | } |
| 1029 | |
| 1030 | int fixedShift = 61 - shift; |
| 1031 | int sk64shift = 44 - shift + clzNumer; |
| 1032 | |
| 1033 | inv->fMat[kMScaleX] = SkMulShift(fMat[kMScaleY], scale, fixedShift); |
| 1034 | inv->fMat[kMSkewX] = SkMulShift(-fMat[kMSkewX], scale, fixedShift); |
| 1035 | inv->fMat[kMTransX] = SkMulShift(tx.getShiftRight(33 - clzNumer), scale, sk64shift); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1036 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1037 | inv->fMat[kMSkewY] = SkMulShift(-fMat[kMSkewY], scale, fixedShift); |
| 1038 | inv->fMat[kMScaleY] = SkMulShift(fMat[kMScaleX], scale, fixedShift); |
| 1039 | inv->fMat[kMTransY] = SkMulShift(ty.getShiftRight(33 - clzNumer), scale, sk64shift); |
| 1040 | #else |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 1041 | inv->fMat[kMScaleX] = SkDoubleToFloat(fMat[kMScaleY] * scale); |
| 1042 | inv->fMat[kMSkewX] = SkDoubleToFloat(-fMat[kMSkewX] * scale); |
| 1043 | inv->fMat[kMTransX] = mul_diff_scale(fMat[kMSkewX], fMat[kMTransY], |
| 1044 | fMat[kMScaleY], fMat[kMTransX], scale); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1045 | |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 1046 | inv->fMat[kMSkewY] = SkDoubleToFloat(-fMat[kMSkewY] * scale); |
| 1047 | inv->fMat[kMScaleY] = SkDoubleToFloat(fMat[kMScaleX] * scale); |
| 1048 | inv->fMat[kMTransY] = mul_diff_scale(fMat[kMSkewY], fMat[kMTransX], |
| 1049 | fMat[kMScaleX], fMat[kMTransY], scale); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1050 | #endif |
| 1051 | inv->fMat[kMPersp0] = 0; |
| 1052 | inv->fMat[kMPersp1] = 0; |
| 1053 | inv->fMat[kMPersp2] = kMatrix22Elem; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1054 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1055 | } |
| 1056 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 1057 | inv->setTypeMask(fTypeMask); |
| 1058 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1059 | if (inv == &tmp) { |
| 1060 | *(SkMatrix*)this = tmp; |
| 1061 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1062 | } |
| 1063 | return true; |
| 1064 | } |
| 1065 | |
| 1066 | /////////////////////////////////////////////////////////////////////////////// |
| 1067 | |
| 1068 | void SkMatrix::Identity_pts(const SkMatrix& m, SkPoint dst[], |
| 1069 | const SkPoint src[], int count) { |
| 1070 | SkASSERT(m.getType() == 0); |
| 1071 | |
| 1072 | if (dst != src && count > 0) |
| 1073 | memcpy(dst, src, count * sizeof(SkPoint)); |
| 1074 | } |
| 1075 | |
| 1076 | void SkMatrix::Trans_pts(const SkMatrix& m, SkPoint dst[], |
| 1077 | const SkPoint src[], int count) { |
| 1078 | SkASSERT(m.getType() == kTranslate_Mask); |
| 1079 | |
| 1080 | if (count > 0) { |
| 1081 | SkScalar tx = m.fMat[kMTransX]; |
| 1082 | SkScalar ty = m.fMat[kMTransY]; |
| 1083 | do { |
| 1084 | dst->fY = src->fY + ty; |
| 1085 | dst->fX = src->fX + tx; |
| 1086 | src += 1; |
| 1087 | dst += 1; |
| 1088 | } while (--count); |
| 1089 | } |
| 1090 | } |
| 1091 | |
| 1092 | void SkMatrix::Scale_pts(const SkMatrix& m, SkPoint dst[], |
| 1093 | const SkPoint src[], int count) { |
| 1094 | SkASSERT(m.getType() == kScale_Mask); |
| 1095 | |
| 1096 | if (count > 0) { |
| 1097 | SkScalar mx = m.fMat[kMScaleX]; |
| 1098 | SkScalar my = m.fMat[kMScaleY]; |
| 1099 | do { |
| 1100 | dst->fY = SkScalarMul(src->fY, my); |
| 1101 | dst->fX = SkScalarMul(src->fX, mx); |
| 1102 | src += 1; |
| 1103 | dst += 1; |
| 1104 | } while (--count); |
| 1105 | } |
| 1106 | } |
| 1107 | |
| 1108 | void SkMatrix::ScaleTrans_pts(const SkMatrix& m, SkPoint dst[], |
| 1109 | const SkPoint src[], int count) { |
| 1110 | SkASSERT(m.getType() == (kScale_Mask | kTranslate_Mask)); |
| 1111 | |
| 1112 | if (count > 0) { |
| 1113 | SkScalar mx = m.fMat[kMScaleX]; |
| 1114 | SkScalar my = m.fMat[kMScaleY]; |
| 1115 | SkScalar tx = m.fMat[kMTransX]; |
| 1116 | SkScalar ty = m.fMat[kMTransY]; |
| 1117 | do { |
| 1118 | dst->fY = SkScalarMulAdd(src->fY, my, ty); |
| 1119 | dst->fX = SkScalarMulAdd(src->fX, mx, tx); |
| 1120 | src += 1; |
| 1121 | dst += 1; |
| 1122 | } while (--count); |
| 1123 | } |
| 1124 | } |
| 1125 | |
| 1126 | void SkMatrix::Rot_pts(const SkMatrix& m, SkPoint dst[], |
| 1127 | const SkPoint src[], int count) { |
| 1128 | SkASSERT((m.getType() & (kPerspective_Mask | kTranslate_Mask)) == 0); |
| 1129 | |
| 1130 | if (count > 0) { |
| 1131 | SkScalar mx = m.fMat[kMScaleX]; |
| 1132 | SkScalar my = m.fMat[kMScaleY]; |
| 1133 | SkScalar kx = m.fMat[kMSkewX]; |
| 1134 | SkScalar ky = m.fMat[kMSkewY]; |
| 1135 | do { |
| 1136 | SkScalar sy = src->fY; |
| 1137 | SkScalar sx = src->fX; |
| 1138 | src += 1; |
| 1139 | dst->fY = SkScalarMul(sx, ky) + SkScalarMul(sy, my); |
| 1140 | dst->fX = SkScalarMul(sx, mx) + SkScalarMul(sy, kx); |
| 1141 | dst += 1; |
| 1142 | } while (--count); |
| 1143 | } |
| 1144 | } |
| 1145 | |
| 1146 | void SkMatrix::RotTrans_pts(const SkMatrix& m, SkPoint dst[], |
| 1147 | const SkPoint src[], int count) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1148 | SkASSERT(!m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1149 | |
| 1150 | if (count > 0) { |
| 1151 | SkScalar mx = m.fMat[kMScaleX]; |
| 1152 | SkScalar my = m.fMat[kMScaleY]; |
| 1153 | SkScalar kx = m.fMat[kMSkewX]; |
| 1154 | SkScalar ky = m.fMat[kMSkewY]; |
| 1155 | SkScalar tx = m.fMat[kMTransX]; |
| 1156 | SkScalar ty = m.fMat[kMTransY]; |
| 1157 | do { |
| 1158 | SkScalar sy = src->fY; |
| 1159 | SkScalar sx = src->fX; |
| 1160 | src += 1; |
| 1161 | dst->fY = SkScalarMul(sx, ky) + SkScalarMulAdd(sy, my, ty); |
| 1162 | dst->fX = SkScalarMul(sx, mx) + SkScalarMulAdd(sy, kx, tx); |
| 1163 | dst += 1; |
| 1164 | } while (--count); |
| 1165 | } |
| 1166 | } |
| 1167 | |
| 1168 | void SkMatrix::Persp_pts(const SkMatrix& m, SkPoint dst[], |
| 1169 | const SkPoint src[], int count) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1170 | SkASSERT(m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1171 | |
| 1172 | #ifdef SK_SCALAR_IS_FIXED |
| 1173 | SkFixed persp2 = SkFractToFixed(m.fMat[kMPersp2]); |
| 1174 | #endif |
| 1175 | |
| 1176 | if (count > 0) { |
| 1177 | do { |
| 1178 | SkScalar sy = src->fY; |
| 1179 | SkScalar sx = src->fX; |
| 1180 | src += 1; |
| 1181 | |
| 1182 | SkScalar x = SkScalarMul(sx, m.fMat[kMScaleX]) + |
| 1183 | SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1184 | SkScalar y = SkScalarMul(sx, m.fMat[kMSkewY]) + |
| 1185 | SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1186 | #ifdef SK_SCALAR_IS_FIXED |
| 1187 | SkFixed z = SkFractMul(sx, m.fMat[kMPersp0]) + |
| 1188 | SkFractMul(sy, m.fMat[kMPersp1]) + persp2; |
| 1189 | #else |
| 1190 | float z = SkScalarMul(sx, m.fMat[kMPersp0]) + |
| 1191 | SkScalarMulAdd(sy, m.fMat[kMPersp1], m.fMat[kMPersp2]); |
| 1192 | #endif |
| 1193 | if (z) { |
| 1194 | z = SkScalarFastInvert(z); |
| 1195 | } |
| 1196 | |
| 1197 | dst->fY = SkScalarMul(y, z); |
| 1198 | dst->fX = SkScalarMul(x, z); |
| 1199 | dst += 1; |
| 1200 | } while (--count); |
| 1201 | } |
| 1202 | } |
| 1203 | |
| 1204 | const SkMatrix::MapPtsProc SkMatrix::gMapPtsProcs[] = { |
| 1205 | SkMatrix::Identity_pts, SkMatrix::Trans_pts, |
| 1206 | SkMatrix::Scale_pts, SkMatrix::ScaleTrans_pts, |
| 1207 | SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, |
| 1208 | SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, |
| 1209 | // repeat the persp proc 8 times |
| 1210 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1211 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1212 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1213 | SkMatrix::Persp_pts, SkMatrix::Persp_pts |
| 1214 | }; |
| 1215 | |
| 1216 | void SkMatrix::mapPoints(SkPoint dst[], const SkPoint src[], int count) const { |
| 1217 | SkASSERT((dst && src && count > 0) || count == 0); |
| 1218 | // no partial overlap |
| 1219 | SkASSERT(src == dst || SkAbs32((int32_t)(src - dst)) >= count); |
| 1220 | |
| 1221 | this->getMapPtsProc()(*this, dst, src, count); |
| 1222 | } |
| 1223 | |
| 1224 | /////////////////////////////////////////////////////////////////////////////// |
| 1225 | |
| 1226 | void SkMatrix::mapVectors(SkPoint dst[], const SkPoint src[], int count) const { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1227 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1228 | SkPoint origin; |
| 1229 | |
| 1230 | MapXYProc proc = this->getMapXYProc(); |
| 1231 | proc(*this, 0, 0, &origin); |
| 1232 | |
| 1233 | for (int i = count - 1; i >= 0; --i) { |
| 1234 | SkPoint tmp; |
| 1235 | |
| 1236 | proc(*this, src[i].fX, src[i].fY, &tmp); |
| 1237 | dst[i].set(tmp.fX - origin.fX, tmp.fY - origin.fY); |
| 1238 | } |
| 1239 | } else { |
| 1240 | SkMatrix tmp = *this; |
| 1241 | |
| 1242 | tmp.fMat[kMTransX] = tmp.fMat[kMTransY] = 0; |
| 1243 | tmp.clearTypeMask(kTranslate_Mask); |
| 1244 | tmp.mapPoints(dst, src, count); |
| 1245 | } |
| 1246 | } |
| 1247 | |
| 1248 | bool SkMatrix::mapRect(SkRect* dst, const SkRect& src) const { |
| 1249 | SkASSERT(dst && &src); |
| 1250 | |
| 1251 | if (this->rectStaysRect()) { |
| 1252 | this->mapPoints((SkPoint*)dst, (const SkPoint*)&src, 2); |
| 1253 | dst->sort(); |
| 1254 | return true; |
| 1255 | } else { |
| 1256 | SkPoint quad[4]; |
| 1257 | |
| 1258 | src.toQuad(quad); |
| 1259 | this->mapPoints(quad, quad, 4); |
| 1260 | dst->set(quad, 4); |
| 1261 | return false; |
| 1262 | } |
| 1263 | } |
| 1264 | |
| 1265 | SkScalar SkMatrix::mapRadius(SkScalar radius) const { |
| 1266 | SkVector vec[2]; |
| 1267 | |
| 1268 | vec[0].set(radius, 0); |
| 1269 | vec[1].set(0, radius); |
| 1270 | this->mapVectors(vec, 2); |
| 1271 | |
| 1272 | SkScalar d0 = vec[0].length(); |
| 1273 | SkScalar d1 = vec[1].length(); |
| 1274 | |
| 1275 | return SkScalarMean(d0, d1); |
| 1276 | } |
| 1277 | |
| 1278 | /////////////////////////////////////////////////////////////////////////////// |
| 1279 | |
| 1280 | void SkMatrix::Persp_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1281 | SkPoint* pt) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1282 | SkASSERT(m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1283 | |
| 1284 | SkScalar x = SkScalarMul(sx, m.fMat[kMScaleX]) + |
| 1285 | SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1286 | SkScalar y = SkScalarMul(sx, m.fMat[kMSkewY]) + |
| 1287 | SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1288 | #ifdef SK_SCALAR_IS_FIXED |
| 1289 | SkFixed z = SkFractMul(sx, m.fMat[kMPersp0]) + |
| 1290 | SkFractMul(sy, m.fMat[kMPersp1]) + |
| 1291 | SkFractToFixed(m.fMat[kMPersp2]); |
| 1292 | #else |
| 1293 | float z = SkScalarMul(sx, m.fMat[kMPersp0]) + |
| 1294 | SkScalarMul(sy, m.fMat[kMPersp1]) + m.fMat[kMPersp2]; |
| 1295 | #endif |
| 1296 | if (z) { |
| 1297 | z = SkScalarFastInvert(z); |
| 1298 | } |
| 1299 | pt->fX = SkScalarMul(x, z); |
| 1300 | pt->fY = SkScalarMul(y, z); |
| 1301 | } |
| 1302 | |
| 1303 | #ifdef SK_SCALAR_IS_FIXED |
| 1304 | static SkFixed fixmuladdmul(SkFixed a, SkFixed b, SkFixed c, SkFixed d) { |
| 1305 | Sk64 tmp, tmp1; |
| 1306 | |
| 1307 | tmp.setMul(a, b); |
| 1308 | tmp1.setMul(c, d); |
| 1309 | return tmp.addGetFixed(tmp1); |
| 1310 | // tmp.add(tmp1); |
| 1311 | // return tmp.getFixed(); |
| 1312 | } |
| 1313 | #endif |
| 1314 | |
| 1315 | void SkMatrix::RotTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1316 | SkPoint* pt) { |
| 1317 | SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask)) == kAffine_Mask); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1318 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1319 | #ifdef SK_SCALAR_IS_FIXED |
| 1320 | pt->fX = fixmuladdmul(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + |
| 1321 | m.fMat[kMTransX]; |
| 1322 | pt->fY = fixmuladdmul(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + |
| 1323 | m.fMat[kMTransY]; |
| 1324 | #else |
| 1325 | pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + |
| 1326 | SkScalarMulAdd(sy, m.fMat[kMSkewX], m.fMat[kMTransX]); |
| 1327 | pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + |
| 1328 | SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); |
| 1329 | #endif |
| 1330 | } |
| 1331 | |
| 1332 | void SkMatrix::Rot_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1333 | SkPoint* pt) { |
| 1334 | SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask))== kAffine_Mask); |
| 1335 | SkASSERT(0 == m.fMat[kMTransX]); |
| 1336 | SkASSERT(0 == m.fMat[kMTransY]); |
| 1337 | |
| 1338 | #ifdef SK_SCALAR_IS_FIXED |
| 1339 | pt->fX = fixmuladdmul(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]); |
| 1340 | pt->fY = fixmuladdmul(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]); |
| 1341 | #else |
| 1342 | pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + |
| 1343 | SkScalarMulAdd(sy, m.fMat[kMSkewX], m.fMat[kMTransX]); |
| 1344 | pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + |
| 1345 | SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); |
| 1346 | #endif |
| 1347 | } |
| 1348 | |
| 1349 | void SkMatrix::ScaleTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1350 | SkPoint* pt) { |
| 1351 | SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) |
| 1352 | == kScale_Mask); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1353 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1354 | pt->fX = SkScalarMulAdd(sx, m.fMat[kMScaleX], m.fMat[kMTransX]); |
| 1355 | pt->fY = SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); |
| 1356 | } |
| 1357 | |
| 1358 | void SkMatrix::Scale_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1359 | SkPoint* pt) { |
| 1360 | SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) |
| 1361 | == kScale_Mask); |
| 1362 | SkASSERT(0 == m.fMat[kMTransX]); |
| 1363 | SkASSERT(0 == m.fMat[kMTransY]); |
| 1364 | |
| 1365 | pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]); |
| 1366 | pt->fY = SkScalarMul(sy, m.fMat[kMScaleY]); |
| 1367 | } |
| 1368 | |
| 1369 | void SkMatrix::Trans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1370 | SkPoint* pt) { |
| 1371 | SkASSERT(m.getType() == kTranslate_Mask); |
| 1372 | |
| 1373 | pt->fX = sx + m.fMat[kMTransX]; |
| 1374 | pt->fY = sy + m.fMat[kMTransY]; |
| 1375 | } |
| 1376 | |
| 1377 | void SkMatrix::Identity_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1378 | SkPoint* pt) { |
| 1379 | SkASSERT(0 == m.getType()); |
| 1380 | |
| 1381 | pt->fX = sx; |
| 1382 | pt->fY = sy; |
| 1383 | } |
| 1384 | |
| 1385 | const SkMatrix::MapXYProc SkMatrix::gMapXYProcs[] = { |
| 1386 | SkMatrix::Identity_xy, SkMatrix::Trans_xy, |
| 1387 | SkMatrix::Scale_xy, SkMatrix::ScaleTrans_xy, |
| 1388 | SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, |
| 1389 | SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, |
| 1390 | // repeat the persp proc 8 times |
| 1391 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1392 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1393 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1394 | SkMatrix::Persp_xy, SkMatrix::Persp_xy |
| 1395 | }; |
| 1396 | |
| 1397 | /////////////////////////////////////////////////////////////////////////////// |
| 1398 | |
| 1399 | // if its nearly zero (just made up 26, perhaps it should be bigger or smaller) |
| 1400 | #ifdef SK_SCALAR_IS_FIXED |
| 1401 | typedef SkFract SkPerspElemType; |
| 1402 | #define PerspNearlyZero(x) (SkAbs32(x) < (SK_Fract1 >> 26)) |
| 1403 | #else |
| 1404 | typedef float SkPerspElemType; |
| 1405 | #define PerspNearlyZero(x) SkScalarNearlyZero(x, (1.0f / (1 << 26))) |
| 1406 | #endif |
| 1407 | |
| 1408 | bool SkMatrix::fixedStepInX(SkScalar y, SkFixed* stepX, SkFixed* stepY) const { |
| 1409 | if (PerspNearlyZero(fMat[kMPersp0])) { |
| 1410 | if (stepX || stepY) { |
| 1411 | if (PerspNearlyZero(fMat[kMPersp1]) && |
| 1412 | PerspNearlyZero(fMat[kMPersp2] - kMatrix22Elem)) { |
| 1413 | if (stepX) { |
| 1414 | *stepX = SkScalarToFixed(fMat[kMScaleX]); |
| 1415 | } |
| 1416 | if (stepY) { |
| 1417 | *stepY = SkScalarToFixed(fMat[kMSkewY]); |
| 1418 | } |
| 1419 | } else { |
| 1420 | #ifdef SK_SCALAR_IS_FIXED |
| 1421 | SkFixed z = SkFractMul(y, fMat[kMPersp1]) + |
| 1422 | SkFractToFixed(fMat[kMPersp2]); |
| 1423 | #else |
| 1424 | float z = y * fMat[kMPersp1] + fMat[kMPersp2]; |
| 1425 | #endif |
| 1426 | if (stepX) { |
| 1427 | *stepX = SkScalarToFixed(SkScalarDiv(fMat[kMScaleX], z)); |
| 1428 | } |
| 1429 | if (stepY) { |
| 1430 | *stepY = SkScalarToFixed(SkScalarDiv(fMat[kMSkewY], z)); |
| 1431 | } |
| 1432 | } |
| 1433 | } |
| 1434 | return true; |
| 1435 | } |
| 1436 | return false; |
| 1437 | } |
| 1438 | |
| 1439 | /////////////////////////////////////////////////////////////////////////////// |
| 1440 | |
| 1441 | #include "SkPerspIter.h" |
| 1442 | |
| 1443 | SkPerspIter::SkPerspIter(const SkMatrix& m, SkScalar x0, SkScalar y0, int count) |
| 1444 | : fMatrix(m), fSX(x0), fSY(y0), fCount(count) { |
| 1445 | SkPoint pt; |
| 1446 | |
| 1447 | SkMatrix::Persp_xy(m, x0, y0, &pt); |
| 1448 | fX = SkScalarToFixed(pt.fX); |
| 1449 | fY = SkScalarToFixed(pt.fY); |
| 1450 | } |
| 1451 | |
| 1452 | int SkPerspIter::next() { |
| 1453 | int n = fCount; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1454 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1455 | if (0 == n) { |
| 1456 | return 0; |
| 1457 | } |
| 1458 | SkPoint pt; |
| 1459 | SkFixed x = fX; |
| 1460 | SkFixed y = fY; |
| 1461 | SkFixed dx, dy; |
| 1462 | |
| 1463 | if (n >= kCount) { |
| 1464 | n = kCount; |
| 1465 | fSX += SkIntToScalar(kCount); |
| 1466 | SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); |
| 1467 | fX = SkScalarToFixed(pt.fX); |
| 1468 | fY = SkScalarToFixed(pt.fY); |
| 1469 | dx = (fX - x) >> kShift; |
| 1470 | dy = (fY - y) >> kShift; |
| 1471 | } else { |
| 1472 | fSX += SkIntToScalar(n); |
| 1473 | SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); |
| 1474 | fX = SkScalarToFixed(pt.fX); |
| 1475 | fY = SkScalarToFixed(pt.fY); |
| 1476 | dx = (fX - x) / n; |
| 1477 | dy = (fY - y) / n; |
| 1478 | } |
| 1479 | |
| 1480 | SkFixed* p = fStorage; |
| 1481 | for (int i = 0; i < n; i++) { |
| 1482 | *p++ = x; x += dx; |
| 1483 | *p++ = y; y += dy; |
| 1484 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1485 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1486 | fCount -= n; |
| 1487 | return n; |
| 1488 | } |
| 1489 | |
| 1490 | /////////////////////////////////////////////////////////////////////////////// |
| 1491 | |
| 1492 | #ifdef SK_SCALAR_IS_FIXED |
| 1493 | |
| 1494 | static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { |
| 1495 | SkFixed x = SK_Fixed1, y = SK_Fixed1; |
| 1496 | SkPoint pt1, pt2; |
| 1497 | Sk64 w1, w2; |
| 1498 | |
| 1499 | if (count > 1) { |
| 1500 | pt1.fX = poly[1].fX - poly[0].fX; |
| 1501 | pt1.fY = poly[1].fY - poly[0].fY; |
| 1502 | y = SkPoint::Length(pt1.fX, pt1.fY); |
| 1503 | if (y == 0) { |
| 1504 | return false; |
| 1505 | } |
| 1506 | switch (count) { |
| 1507 | case 2: |
| 1508 | break; |
| 1509 | case 3: |
| 1510 | pt2.fX = poly[0].fY - poly[2].fY; |
| 1511 | pt2.fY = poly[2].fX - poly[0].fX; |
| 1512 | goto CALC_X; |
| 1513 | default: |
| 1514 | pt2.fX = poly[0].fY - poly[3].fY; |
| 1515 | pt2.fY = poly[3].fX - poly[0].fX; |
| 1516 | CALC_X: |
| 1517 | w1.setMul(pt1.fX, pt2.fX); |
| 1518 | w2.setMul(pt1.fY, pt2.fY); |
| 1519 | w1.add(w2); |
| 1520 | w1.div(y, Sk64::kRound_DivOption); |
| 1521 | if (!w1.is32()) { |
| 1522 | return false; |
| 1523 | } |
| 1524 | x = w1.get32(); |
| 1525 | break; |
| 1526 | } |
| 1527 | } |
| 1528 | pt->set(x, y); |
| 1529 | return true; |
| 1530 | } |
| 1531 | |
| 1532 | bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1533 | const SkPoint& scalePt) { |
| 1534 | // need to check if SkFixedDiv overflows... |
| 1535 | |
| 1536 | const SkFixed scale = scalePt.fY; |
| 1537 | dst->fMat[kMScaleX] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale); |
| 1538 | dst->fMat[kMSkewY] = SkFixedDiv(srcPt[0].fX - srcPt[1].fX, scale); |
| 1539 | dst->fMat[kMPersp0] = 0; |
| 1540 | dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scale); |
| 1541 | dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale); |
| 1542 | dst->fMat[kMPersp1] = 0; |
| 1543 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1544 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1545 | dst->fMat[kMPersp2] = SK_Fract1; |
| 1546 | dst->setTypeMask(kUnknown_Mask); |
| 1547 | return true; |
| 1548 | } |
| 1549 | |
| 1550 | bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1551 | const SkPoint& scale) { |
| 1552 | // really, need to check if SkFixedDiv overflow'd |
| 1553 | |
| 1554 | dst->fMat[kMScaleX] = SkFixedDiv(srcPt[2].fX - srcPt[0].fX, scale.fX); |
| 1555 | dst->fMat[kMSkewY] = SkFixedDiv(srcPt[2].fY - srcPt[0].fY, scale.fX); |
| 1556 | dst->fMat[kMPersp0] = 0; |
| 1557 | dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scale.fY); |
| 1558 | dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale.fY); |
| 1559 | dst->fMat[kMPersp1] = 0; |
| 1560 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1561 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1562 | dst->fMat[kMPersp2] = SK_Fract1; |
| 1563 | dst->setTypeMask(kUnknown_Mask); |
| 1564 | return true; |
| 1565 | } |
| 1566 | |
| 1567 | bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1568 | const SkPoint& scale) { |
| 1569 | SkFract a1, a2; |
| 1570 | SkFixed x0, y0, x1, y1, x2, y2; |
| 1571 | |
| 1572 | x0 = srcPt[2].fX - srcPt[0].fX; |
| 1573 | y0 = srcPt[2].fY - srcPt[0].fY; |
| 1574 | x1 = srcPt[2].fX - srcPt[1].fX; |
| 1575 | y1 = srcPt[2].fY - srcPt[1].fY; |
| 1576 | x2 = srcPt[2].fX - srcPt[3].fX; |
| 1577 | y2 = srcPt[2].fY - srcPt[3].fY; |
| 1578 | |
| 1579 | /* check if abs(x2) > abs(y2) */ |
| 1580 | if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { |
| 1581 | SkFixed denom = SkMulDiv(x1, y2, x2) - y1; |
| 1582 | if (0 == denom) { |
| 1583 | return false; |
| 1584 | } |
| 1585 | a1 = SkFractDiv(SkMulDiv(x0 - x1, y2, x2) - y0 + y1, denom); |
| 1586 | } else { |
| 1587 | SkFixed denom = x1 - SkMulDiv(y1, x2, y2); |
| 1588 | if (0 == denom) { |
| 1589 | return false; |
| 1590 | } |
| 1591 | a1 = SkFractDiv(x0 - x1 - SkMulDiv(y0 - y1, x2, y2), denom); |
| 1592 | } |
| 1593 | |
| 1594 | /* check if abs(x1) > abs(y1) */ |
| 1595 | if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { |
| 1596 | SkFixed denom = y2 - SkMulDiv(x2, y1, x1); |
| 1597 | if (0 == denom) { |
| 1598 | return false; |
| 1599 | } |
| 1600 | a2 = SkFractDiv(y0 - y2 - SkMulDiv(x0 - x2, y1, x1), denom); |
| 1601 | } else { |
| 1602 | SkFixed denom = SkMulDiv(y2, x1, y1) - x2; |
| 1603 | if (0 == denom) { |
| 1604 | return false; |
| 1605 | } |
| 1606 | a2 = SkFractDiv(SkMulDiv(y0 - y2, x1, y1) - x0 + x2, denom); |
| 1607 | } |
| 1608 | |
| 1609 | // need to check if SkFixedDiv overflows... |
| 1610 | dst->fMat[kMScaleX] = SkFixedDiv(SkFractMul(a2, srcPt[3].fX) + |
| 1611 | srcPt[3].fX - srcPt[0].fX, scale.fX); |
| 1612 | dst->fMat[kMSkewY] = SkFixedDiv(SkFractMul(a2, srcPt[3].fY) + |
| 1613 | srcPt[3].fY - srcPt[0].fY, scale.fX); |
| 1614 | dst->fMat[kMPersp0] = SkFixedDiv(a2, scale.fX); |
| 1615 | dst->fMat[kMSkewX] = SkFixedDiv(SkFractMul(a1, srcPt[1].fX) + |
| 1616 | srcPt[1].fX - srcPt[0].fX, scale.fY); |
| 1617 | dst->fMat[kMScaleY] = SkFixedDiv(SkFractMul(a1, srcPt[1].fY) + |
| 1618 | srcPt[1].fY - srcPt[0].fY, scale.fY); |
| 1619 | dst->fMat[kMPersp1] = SkFixedDiv(a1, scale.fY); |
| 1620 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1621 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1622 | dst->fMat[kMPersp2] = SK_Fract1; |
| 1623 | dst->setTypeMask(kUnknown_Mask); |
| 1624 | return true; |
| 1625 | } |
| 1626 | |
| 1627 | #else /* Scalar is float */ |
| 1628 | |
| 1629 | static inline bool checkForZero(float x) { |
| 1630 | return x*x == 0; |
| 1631 | } |
| 1632 | |
| 1633 | static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { |
| 1634 | float x = 1, y = 1; |
| 1635 | SkPoint pt1, pt2; |
| 1636 | |
| 1637 | if (count > 1) { |
| 1638 | pt1.fX = poly[1].fX - poly[0].fX; |
| 1639 | pt1.fY = poly[1].fY - poly[0].fY; |
| 1640 | y = SkPoint::Length(pt1.fX, pt1.fY); |
| 1641 | if (checkForZero(y)) { |
| 1642 | return false; |
| 1643 | } |
| 1644 | switch (count) { |
| 1645 | case 2: |
| 1646 | break; |
| 1647 | case 3: |
| 1648 | pt2.fX = poly[0].fY - poly[2].fY; |
| 1649 | pt2.fY = poly[2].fX - poly[0].fX; |
| 1650 | goto CALC_X; |
| 1651 | default: |
| 1652 | pt2.fX = poly[0].fY - poly[3].fY; |
| 1653 | pt2.fY = poly[3].fX - poly[0].fX; |
| 1654 | CALC_X: |
| 1655 | x = SkScalarDiv(SkScalarMul(pt1.fX, pt2.fX) + |
| 1656 | SkScalarMul(pt1.fY, pt2.fY), y); |
| 1657 | break; |
| 1658 | } |
| 1659 | } |
| 1660 | pt->set(x, y); |
| 1661 | return true; |
| 1662 | } |
| 1663 | |
| 1664 | bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1665 | const SkPoint& scale) { |
| 1666 | float invScale = 1 / scale.fY; |
| 1667 | |
| 1668 | dst->fMat[kMScaleX] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1669 | dst->fMat[kMSkewY] = (srcPt[0].fX - srcPt[1].fX) * invScale; |
| 1670 | dst->fMat[kMPersp0] = 0; |
| 1671 | dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1672 | dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1673 | dst->fMat[kMPersp1] = 0; |
| 1674 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1675 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1676 | dst->fMat[kMPersp2] = 1; |
| 1677 | dst->setTypeMask(kUnknown_Mask); |
| 1678 | return true; |
| 1679 | } |
| 1680 | |
| 1681 | bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1682 | const SkPoint& scale) { |
| 1683 | float invScale = 1 / scale.fX; |
| 1684 | dst->fMat[kMScaleX] = (srcPt[2].fX - srcPt[0].fX) * invScale; |
| 1685 | dst->fMat[kMSkewY] = (srcPt[2].fY - srcPt[0].fY) * invScale; |
| 1686 | dst->fMat[kMPersp0] = 0; |
| 1687 | |
| 1688 | invScale = 1 / scale.fY; |
| 1689 | dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1690 | dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1691 | dst->fMat[kMPersp1] = 0; |
| 1692 | |
| 1693 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1694 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1695 | dst->fMat[kMPersp2] = 1; |
| 1696 | dst->setTypeMask(kUnknown_Mask); |
| 1697 | return true; |
| 1698 | } |
| 1699 | |
| 1700 | bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1701 | const SkPoint& scale) { |
| 1702 | float a1, a2; |
| 1703 | float x0, y0, x1, y1, x2, y2; |
| 1704 | |
| 1705 | x0 = srcPt[2].fX - srcPt[0].fX; |
| 1706 | y0 = srcPt[2].fY - srcPt[0].fY; |
| 1707 | x1 = srcPt[2].fX - srcPt[1].fX; |
| 1708 | y1 = srcPt[2].fY - srcPt[1].fY; |
| 1709 | x2 = srcPt[2].fX - srcPt[3].fX; |
| 1710 | y2 = srcPt[2].fY - srcPt[3].fY; |
| 1711 | |
| 1712 | /* check if abs(x2) > abs(y2) */ |
| 1713 | if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { |
| 1714 | float denom = SkScalarMulDiv(x1, y2, x2) - y1; |
| 1715 | if (checkForZero(denom)) { |
| 1716 | return false; |
| 1717 | } |
| 1718 | a1 = SkScalarDiv(SkScalarMulDiv(x0 - x1, y2, x2) - y0 + y1, denom); |
| 1719 | } else { |
| 1720 | float denom = x1 - SkScalarMulDiv(y1, x2, y2); |
| 1721 | if (checkForZero(denom)) { |
| 1722 | return false; |
| 1723 | } |
| 1724 | a1 = SkScalarDiv(x0 - x1 - SkScalarMulDiv(y0 - y1, x2, y2), denom); |
| 1725 | } |
| 1726 | |
| 1727 | /* check if abs(x1) > abs(y1) */ |
| 1728 | if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { |
| 1729 | float denom = y2 - SkScalarMulDiv(x2, y1, x1); |
| 1730 | if (checkForZero(denom)) { |
| 1731 | return false; |
| 1732 | } |
| 1733 | a2 = SkScalarDiv(y0 - y2 - SkScalarMulDiv(x0 - x2, y1, x1), denom); |
| 1734 | } else { |
| 1735 | float denom = SkScalarMulDiv(y2, x1, y1) - x2; |
| 1736 | if (checkForZero(denom)) { |
| 1737 | return false; |
| 1738 | } |
| 1739 | a2 = SkScalarDiv(SkScalarMulDiv(y0 - y2, x1, y1) - x0 + x2, denom); |
| 1740 | } |
| 1741 | |
| 1742 | float invScale = 1 / scale.fX; |
| 1743 | dst->fMat[kMScaleX] = SkScalarMul(SkScalarMul(a2, srcPt[3].fX) + |
| 1744 | srcPt[3].fX - srcPt[0].fX, invScale); |
| 1745 | dst->fMat[kMSkewY] = SkScalarMul(SkScalarMul(a2, srcPt[3].fY) + |
| 1746 | srcPt[3].fY - srcPt[0].fY, invScale); |
| 1747 | dst->fMat[kMPersp0] = SkScalarMul(a2, invScale); |
| 1748 | invScale = 1 / scale.fY; |
| 1749 | dst->fMat[kMSkewX] = SkScalarMul(SkScalarMul(a1, srcPt[1].fX) + |
| 1750 | srcPt[1].fX - srcPt[0].fX, invScale); |
| 1751 | dst->fMat[kMScaleY] = SkScalarMul(SkScalarMul(a1, srcPt[1].fY) + |
| 1752 | srcPt[1].fY - srcPt[0].fY, invScale); |
| 1753 | dst->fMat[kMPersp1] = SkScalarMul(a1, invScale); |
| 1754 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1755 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1756 | dst->fMat[kMPersp2] = 1; |
| 1757 | dst->setTypeMask(kUnknown_Mask); |
| 1758 | return true; |
| 1759 | } |
| 1760 | |
| 1761 | #endif |
| 1762 | |
| 1763 | typedef bool (*PolyMapProc)(const SkPoint[], SkMatrix*, const SkPoint&); |
| 1764 | |
| 1765 | /* Taken from Rob Johnson's original sample code in QuickDraw GX |
| 1766 | */ |
| 1767 | bool SkMatrix::setPolyToPoly(const SkPoint src[], const SkPoint dst[], |
| 1768 | int count) { |
| 1769 | if ((unsigned)count > 4) { |
| 1770 | SkDebugf("--- SkMatrix::setPolyToPoly count out of range %d\n", count); |
| 1771 | return false; |
| 1772 | } |
| 1773 | |
| 1774 | if (0 == count) { |
| 1775 | this->reset(); |
| 1776 | return true; |
| 1777 | } |
| 1778 | if (1 == count) { |
| 1779 | this->setTranslate(dst[0].fX - src[0].fX, dst[0].fY - src[0].fY); |
| 1780 | return true; |
| 1781 | } |
| 1782 | |
| 1783 | SkPoint scale; |
| 1784 | if (!poly_to_point(&scale, src, count) || |
| 1785 | SkScalarNearlyZero(scale.fX) || |
| 1786 | SkScalarNearlyZero(scale.fY)) { |
| 1787 | return false; |
| 1788 | } |
| 1789 | |
| 1790 | static const PolyMapProc gPolyMapProcs[] = { |
| 1791 | SkMatrix::Poly2Proc, SkMatrix::Poly3Proc, SkMatrix::Poly4Proc |
| 1792 | }; |
| 1793 | PolyMapProc proc = gPolyMapProcs[count - 2]; |
| 1794 | |
| 1795 | SkMatrix tempMap, result; |
| 1796 | tempMap.setTypeMask(kUnknown_Mask); |
| 1797 | |
| 1798 | if (!proc(src, &tempMap, scale)) { |
| 1799 | return false; |
| 1800 | } |
| 1801 | if (!tempMap.invert(&result)) { |
| 1802 | return false; |
| 1803 | } |
| 1804 | if (!proc(dst, &tempMap, scale)) { |
| 1805 | return false; |
| 1806 | } |
| 1807 | if (!result.setConcat(tempMap, result)) { |
| 1808 | return false; |
| 1809 | } |
| 1810 | *this = result; |
| 1811 | return true; |
| 1812 | } |
| 1813 | |
| 1814 | /////////////////////////////////////////////////////////////////////////////// |
| 1815 | |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1816 | SkScalar SkMatrix::getMaxStretch() const { |
| 1817 | TypeMask mask = this->getType(); |
| 1818 | |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1819 | if (this->hasPerspective()) { |
| 1820 | return -SK_Scalar1; |
| 1821 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1822 | if (this->isIdentity()) { |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1823 | return SK_Scalar1; |
| 1824 | } |
| 1825 | if (!(mask & kAffine_Mask)) { |
| 1826 | return SkMaxScalar(SkScalarAbs(fMat[kMScaleX]), |
| 1827 | SkScalarAbs(fMat[kMScaleY])); |
| 1828 | } |
| 1829 | // ignore the translation part of the matrix, just look at 2x2 portion. |
| 1830 | // compute singular values, take largest abs value. |
| 1831 | // [a b; b c] = A^T*A |
| 1832 | SkScalar a = SkScalarMul(fMat[kMScaleX], fMat[kMScaleX]) + |
| 1833 | SkScalarMul(fMat[kMSkewY], fMat[kMSkewY]); |
| 1834 | SkScalar b = SkScalarMul(fMat[kMScaleX], fMat[kMSkewX]) + |
| 1835 | SkScalarMul(fMat[kMScaleY], fMat[kMSkewY]); |
| 1836 | SkScalar c = SkScalarMul(fMat[kMSkewX], fMat[kMSkewX]) + |
| 1837 | SkScalarMul(fMat[kMScaleY], fMat[kMScaleY]); |
| 1838 | // eigenvalues of A^T*A are the squared singular values of A. |
| 1839 | // characteristic equation is det((A^T*A) - l*I) = 0 |
| 1840 | // l^2 - (a + c)l + (ac-b^2) |
| 1841 | // solve using quadratic equation (divisor is non-zero since l^2 has 1 coeff |
| 1842 | // and roots are guaraunteed to be pos and real). |
| 1843 | SkScalar largerRoot; |
| 1844 | SkScalar bSqd = SkScalarMul(b,b); |
| 1845 | // if upper left 2x2 is orthogonal save some math |
jvanverth@google.com | c490f80 | 2013-03-04 13:56:38 +0000 | [diff] [blame] | 1846 | if (bSqd <= SK_ScalarNearlyZero*SK_ScalarNearlyZero) { |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1847 | largerRoot = SkMaxScalar(a, c); |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1848 | } else { |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1849 | SkScalar aminusc = a - c; |
| 1850 | SkScalar apluscdiv2 = SkScalarHalf(a + c); |
| 1851 | SkScalar x = SkScalarHalf(SkScalarSqrt(SkScalarMul(aminusc, aminusc) + 4 * bSqd)); |
| 1852 | largerRoot = apluscdiv2 + x; |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1853 | } |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1854 | return SkScalarSqrt(largerRoot); |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1855 | } |
| 1856 | |
| 1857 | const SkMatrix& SkMatrix::I() { |
| 1858 | static SkMatrix gIdentity; |
| 1859 | static bool gOnce; |
| 1860 | if (!gOnce) { |
| 1861 | gIdentity.reset(); |
| 1862 | gOnce = true; |
| 1863 | } |
| 1864 | return gIdentity; |
tomhudson@google.com | 1f90287 | 2012-06-01 13:15:47 +0000 | [diff] [blame] | 1865 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1866 | |
| 1867 | const SkMatrix& SkMatrix::InvalidMatrix() { |
| 1868 | static SkMatrix gInvalid; |
| 1869 | static bool gOnce; |
| 1870 | if (!gOnce) { |
| 1871 | gInvalid.setAll(SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, |
| 1872 | SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, |
| 1873 | SK_ScalarMax, SK_ScalarMax, SK_ScalarMax); |
| 1874 | gInvalid.getType(); // force the type to be computed |
| 1875 | gOnce = true; |
| 1876 | } |
| 1877 | return gInvalid; |
| 1878 | } |
| 1879 | |
| 1880 | /////////////////////////////////////////////////////////////////////////////// |
| 1881 | |
djsollen@google.com | 94e75ee | 2012-06-08 18:30:46 +0000 | [diff] [blame] | 1882 | uint32_t SkMatrix::writeToMemory(void* buffer) const { |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1883 | // TODO write less for simple matrices |
| 1884 | if (buffer) { |
| 1885 | memcpy(buffer, fMat, 9 * sizeof(SkScalar)); |
| 1886 | } |
| 1887 | return 9 * sizeof(SkScalar); |
| 1888 | } |
| 1889 | |
djsollen@google.com | 94e75ee | 2012-06-08 18:30:46 +0000 | [diff] [blame] | 1890 | uint32_t SkMatrix::readFromMemory(const void* buffer) { |
reed@android.com | f2b98d6 | 2010-12-20 18:26:13 +0000 | [diff] [blame] | 1891 | if (buffer) { |
| 1892 | memcpy(fMat, buffer, 9 * sizeof(SkScalar)); |
| 1893 | this->setTypeMask(kUnknown_Mask); |
| 1894 | } |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1895 | return 9 * sizeof(SkScalar); |
| 1896 | } |
| 1897 | |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1898 | #ifdef SK_DEVELOPER |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1899 | void SkMatrix::dump() const { |
| 1900 | SkString str; |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1901 | this->toString(&str); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1902 | SkDebugf("%s\n", str.c_str()); |
| 1903 | } |
| 1904 | |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1905 | void SkMatrix::toString(SkString* str) const { |
| 1906 | str->appendf("[%8.4f %8.4f %8.4f][%8.4f %8.4f %8.4f][%8.4f %8.4f %8.4f]", |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1907 | #ifdef SK_SCALAR_IS_FLOAT |
| 1908 | fMat[0], fMat[1], fMat[2], fMat[3], fMat[4], fMat[5], |
| 1909 | fMat[6], fMat[7], fMat[8]); |
| 1910 | #else |
| 1911 | SkFixedToFloat(fMat[0]), SkFixedToFloat(fMat[1]), SkFixedToFloat(fMat[2]), |
| 1912 | SkFixedToFloat(fMat[3]), SkFixedToFloat(fMat[4]), SkFixedToFloat(fMat[5]), |
| 1913 | SkFractToFloat(fMat[6]), SkFractToFloat(fMat[7]), SkFractToFloat(fMat[8])); |
| 1914 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1915 | } |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1916 | #endif |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1917 | |
| 1918 | /////////////////////////////////////////////////////////////////////////////// |
| 1919 | |
| 1920 | #include "SkMatrixUtils.h" |
| 1921 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1922 | bool SkTreatAsSprite(const SkMatrix& mat, int width, int height, |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1923 | unsigned subpixelBits) { |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1924 | // quick reject on affine or perspective |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1925 | if (mat.getType() & ~(SkMatrix::kScale_Mask | SkMatrix::kTranslate_Mask)) { |
| 1926 | return false; |
| 1927 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1928 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1929 | // quick success check |
| 1930 | if (!subpixelBits && !(mat.getType() & ~SkMatrix::kTranslate_Mask)) { |
| 1931 | return true; |
| 1932 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1933 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1934 | // mapRect supports negative scales, so we eliminate those first |
| 1935 | if (mat.getScaleX() < 0 || mat.getScaleY() < 0) { |
| 1936 | return false; |
| 1937 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1938 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1939 | SkRect dst; |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1940 | SkIRect isrc = { 0, 0, width, height }; |
skia.committer@gmail.com | d9f65e3 | 2013-01-04 12:07:46 +0000 | [diff] [blame] | 1941 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1942 | { |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1943 | SkRect src; |
| 1944 | src.set(isrc); |
| 1945 | mat.mapRect(&dst, src); |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1946 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1947 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1948 | // just apply the translate to isrc |
| 1949 | isrc.offset(SkScalarRoundToInt(mat.getTranslateX()), |
| 1950 | SkScalarRoundToInt(mat.getTranslateY())); |
| 1951 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1952 | if (subpixelBits) { |
| 1953 | isrc.fLeft <<= subpixelBits; |
| 1954 | isrc.fTop <<= subpixelBits; |
| 1955 | isrc.fRight <<= subpixelBits; |
| 1956 | isrc.fBottom <<= subpixelBits; |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1957 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1958 | const float scale = 1 << subpixelBits; |
| 1959 | dst.fLeft *= scale; |
| 1960 | dst.fTop *= scale; |
| 1961 | dst.fRight *= scale; |
| 1962 | dst.fBottom *= scale; |
| 1963 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1964 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1965 | SkIRect idst; |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1966 | dst.round(&idst); |
| 1967 | return isrc == idst; |
| 1968 | } |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1969 | |
| 1970 | bool SkDecomposeUpper2x2(const SkMatrix& matrix, |
skia.committer@gmail.com | 5c561cb | 2013-07-25 07:01:00 +0000 | [diff] [blame^] | 1971 | SkScalar* rotation0, |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1972 | SkScalar* xScale, SkScalar* yScale, |
| 1973 | SkScalar* rotation1) { |
| 1974 | |
| 1975 | // borrowed from Jim Blinn's article "Consider the Lowly 2x2 Matrix" |
| 1976 | // Note: he uses row vectors, so we have to do some swapping of terms |
| 1977 | SkScalar A = matrix[SkMatrix::kMScaleX]; |
| 1978 | SkScalar B = matrix[SkMatrix::kMSkewX]; |
| 1979 | SkScalar C = matrix[SkMatrix::kMSkewY]; |
| 1980 | SkScalar D = matrix[SkMatrix::kMScaleY]; |
| 1981 | |
| 1982 | SkScalar E = SK_ScalarHalf*(A + D); |
| 1983 | SkScalar F = SK_ScalarHalf*(A - D); |
| 1984 | SkScalar G = SK_ScalarHalf*(C + B); |
| 1985 | SkScalar H = SK_ScalarHalf*(C - B); |
| 1986 | |
| 1987 | SkScalar sqrt0 = SkScalarSqrt(E*E + H*H); |
| 1988 | SkScalar sqrt1 = SkScalarSqrt(F*F + G*G); |
| 1989 | |
| 1990 | SkScalar xs, ys, r0, r1; |
| 1991 | |
| 1992 | // can't have zero yScale, must be degenerate |
| 1993 | if (SkScalarNearlyEqual(sqrt0, sqrt1)) { |
| 1994 | return false; |
| 1995 | } |
| 1996 | xs = sqrt0 + sqrt1; |
| 1997 | ys = sqrt0 - sqrt1; |
| 1998 | |
| 1999 | // uniformly scaled rotation |
| 2000 | if (SkScalarNearlyZero(F) && SkScalarNearlyZero(G)) { |
| 2001 | SkASSERT(!SkScalarNearlyZero(E)); |
| 2002 | r0 = SkScalarATan2(H, E); |
| 2003 | r1 = 0; |
| 2004 | // uniformly scaled reflection |
| 2005 | } else if (SkScalarNearlyZero(E) && SkScalarNearlyZero(H)) { |
| 2006 | SkASSERT(!SkScalarNearlyZero(F)); |
| 2007 | r0 = -SkScalarATan2(G, F); |
| 2008 | r1 = 0; |
| 2009 | } else { |
| 2010 | SkASSERT(!SkScalarNearlyZero(E)); |
| 2011 | SkASSERT(!SkScalarNearlyZero(F)); |
| 2012 | |
| 2013 | SkScalar arctan0 = SkScalarATan2(H, E); |
| 2014 | SkScalar arctan1 = SkScalarATan2(G, F); |
| 2015 | r0 = SK_ScalarHalf*(arctan0 - arctan1); |
| 2016 | r1 = SK_ScalarHalf*(arctan0 + arctan1); |
skia.committer@gmail.com | 5c561cb | 2013-07-25 07:01:00 +0000 | [diff] [blame^] | 2017 | |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 2018 | // simplify the results |
| 2019 | const SkScalar kHalfPI = SK_ScalarHalf*SK_ScalarPI; |
| 2020 | if (SkScalarNearlyEqual(SkScalarAbs(r0), kHalfPI)) { |
| 2021 | SkScalar tmp = xs; |
| 2022 | xs = ys; |
| 2023 | ys = tmp; |
| 2024 | |
| 2025 | r1 += r0; |
| 2026 | r0 = 0; |
| 2027 | } else if (SkScalarNearlyEqual(SkScalarAbs(r1), kHalfPI)) { |
| 2028 | SkScalar tmp = xs; |
| 2029 | xs = ys; |
| 2030 | ys = tmp; |
| 2031 | |
| 2032 | r0 += r1; |
| 2033 | r1 = 0; |
| 2034 | } |
| 2035 | } |
| 2036 | |
| 2037 | if (NULL != xScale) { |
| 2038 | *xScale = xs; |
| 2039 | } |
| 2040 | if (NULL != yScale) { |
| 2041 | *yScale = ys; |
| 2042 | } |
| 2043 | if (NULL != rotation0) { |
| 2044 | *rotation0 = r0; |
| 2045 | } |
| 2046 | if (NULL != rotation1) { |
| 2047 | *rotation1 = r1; |
| 2048 | } |
| 2049 | |
| 2050 | return true; |
| 2051 | } |