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" |
commit-bot@chromium.org | 21a705d | 2013-10-10 21:58:31 +0000 | [diff] [blame] | 11 | #include "SkOnce.h" |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 12 | #include "SkString.h" |
| 13 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 14 | #define kMatrix22Elem SK_Scalar1 |
reed@android.com | ab7ac02 | 2009-09-18 13:38:43 +0000 | [diff] [blame] | 15 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 16 | static inline float SkDoubleToFloat(double x) { |
| 17 | return static_cast<float>(x); |
| 18 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 19 | |
| 20 | /* [scale-x skew-x trans-x] [X] [X'] |
| 21 | [skew-y scale-y trans-y] * [Y] = [Y'] |
| 22 | [persp-0 persp-1 persp-2] [1] [1 ] |
| 23 | */ |
| 24 | |
| 25 | void SkMatrix::reset() { |
| 26 | fMat[kMScaleX] = fMat[kMScaleY] = SK_Scalar1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 27 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 28 | fMat[kMTransX] = fMat[kMTransY] = |
| 29 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 30 | fMat[kMPersp2] = kMatrix22Elem; |
| 31 | |
| 32 | this->setTypeMask(kIdentity_Mask | kRectStaysRect_Mask); |
| 33 | } |
| 34 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 35 | // this guy aligns with the masks, so we can compute a mask from a varaible 0/1 |
| 36 | enum { |
| 37 | kTranslate_Shift, |
| 38 | kScale_Shift, |
| 39 | kAffine_Shift, |
| 40 | kPerspective_Shift, |
| 41 | kRectStaysRect_Shift |
| 42 | }; |
| 43 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 44 | static const int32_t kScalar1Int = 0x3f800000; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 45 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 46 | uint8_t SkMatrix::computePerspectiveTypeMask() const { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 47 | // Benchmarking suggests that replacing this set of SkScalarAs2sCompliment |
| 48 | // is a win, but replacing those below is not. We don't yet understand |
| 49 | // that result. |
| 50 | if (fMat[kMPersp0] != 0 || fMat[kMPersp1] != 0 || |
| 51 | fMat[kMPersp2] != kMatrix22Elem) { |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 52 | // 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] | 53 | // transform flags - this does not disable any optimizations, respects |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 54 | // 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] | 55 | // type mask computation. |
| 56 | return SkToU8(kORableMasks); |
| 57 | } |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 58 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 59 | return SkToU8(kOnlyPerspectiveValid_Mask | kUnknown_Mask); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 60 | } |
| 61 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 62 | uint8_t SkMatrix::computeTypeMask() const { |
| 63 | unsigned mask = 0; |
| 64 | |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 65 | if (fMat[kMPersp0] != 0 || fMat[kMPersp1] != 0 || |
tomhudson@google.com | 521ed7c | 2011-06-06 17:21:44 +0000 | [diff] [blame] | 66 | fMat[kMPersp2] != kMatrix22Elem) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 67 | // Once it is determined that that this is a perspective transform, |
| 68 | // all other flags are moot as far as optimizations are concerned. |
| 69 | return SkToU8(kORableMasks); |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 70 | } |
| 71 | |
| 72 | if (fMat[kMTransX] != 0 || fMat[kMTransY] != 0) { |
| 73 | mask |= kTranslate_Mask; |
| 74 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 75 | |
| 76 | int m00 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleX]); |
| 77 | int m01 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewX]); |
| 78 | int m10 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewY]); |
| 79 | int m11 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleY]); |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 80 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 81 | if (m01 | m10) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 82 | // The skew components may be scale-inducing, unless we are dealing |
| 83 | // with a pure rotation. Testing for a pure rotation is expensive, |
| 84 | // so we opt for being conservative by always setting the scale bit. |
| 85 | // along with affine. |
| 86 | // By doing this, we are also ensuring that matrices have the same |
| 87 | // type masks as their inverses. |
| 88 | mask |= kAffine_Mask | kScale_Mask; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 89 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 90 | // For rectStaysRect, in the affine case, we only need check that |
| 91 | // the primary diagonal is all zeros and that the secondary diagonal |
| 92 | // is all non-zero. |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 93 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 94 | // map non-zero to 1 |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 95 | m01 = m01 != 0; |
| 96 | m10 = m10 != 0; |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 97 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 98 | int dp0 = 0 == (m00 | m11) ; // true if both are 0 |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 99 | int ds1 = m01 & m10; // true if both are 1 |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 100 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 101 | mask |= (dp0 & ds1) << kRectStaysRect_Shift; |
| 102 | } else { |
| 103 | // Only test for scale explicitly if not affine, since affine sets the |
| 104 | // scale bit. |
| 105 | if ((m00 - kScalar1Int) | (m11 - kScalar1Int)) { |
| 106 | mask |= kScale_Mask; |
| 107 | } |
| 108 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 109 | // Not affine, therefore we already know secondary diagonal is |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 110 | // all zeros, so we just need to check that primary diagonal is |
| 111 | // all non-zero. |
| 112 | |
| 113 | // map non-zero to 1 |
| 114 | m00 = m00 != 0; |
| 115 | m11 = m11 != 0; |
| 116 | |
| 117 | // record if the (p)rimary diagonal is all non-zero |
| 118 | mask |= (m00 & m11) << kRectStaysRect_Shift; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 119 | } |
| 120 | |
| 121 | return SkToU8(mask); |
| 122 | } |
| 123 | |
| 124 | /////////////////////////////////////////////////////////////////////////////// |
| 125 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 126 | bool operator==(const SkMatrix& a, const SkMatrix& b) { |
| 127 | const SkScalar* SK_RESTRICT ma = a.fMat; |
| 128 | const SkScalar* SK_RESTRICT mb = b.fMat; |
| 129 | |
| 130 | return ma[0] == mb[0] && ma[1] == mb[1] && ma[2] == mb[2] && |
| 131 | ma[3] == mb[3] && ma[4] == mb[4] && ma[5] == mb[5] && |
| 132 | ma[6] == mb[6] && ma[7] == mb[7] && ma[8] == mb[8]; |
| 133 | } |
| 134 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 135 | /////////////////////////////////////////////////////////////////////////////// |
| 136 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 137 | // helper function to determine if upper-left 2x2 of matrix is degenerate |
skia.committer@gmail.com | 16d53aa | 2013-07-30 07:01:00 +0000 | [diff] [blame] | 138 | static inline bool is_degenerate_2x2(SkScalar scaleX, SkScalar skewX, |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 139 | SkScalar skewY, SkScalar scaleY) { |
| 140 | SkScalar perp_dot = scaleX*scaleY - skewX*skewY; |
| 141 | return SkScalarNearlyZero(perp_dot, SK_ScalarNearlyZero*SK_ScalarNearlyZero); |
| 142 | } |
| 143 | |
| 144 | /////////////////////////////////////////////////////////////////////////////// |
| 145 | |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 146 | bool SkMatrix::isSimilarity(SkScalar tol) const { |
| 147 | // if identity or translate matrix |
| 148 | TypeMask mask = this->getType(); |
| 149 | if (mask <= kTranslate_Mask) { |
| 150 | return true; |
| 151 | } |
| 152 | if (mask & kPerspective_Mask) { |
| 153 | return false; |
| 154 | } |
| 155 | |
| 156 | SkScalar mx = fMat[kMScaleX]; |
| 157 | SkScalar my = fMat[kMScaleY]; |
| 158 | // if no skew, can just compare scale factors |
| 159 | if (!(mask & kAffine_Mask)) { |
| 160 | return !SkScalarNearlyZero(mx) && SkScalarNearlyEqual(SkScalarAbs(mx), SkScalarAbs(my)); |
| 161 | } |
| 162 | SkScalar sx = fMat[kMSkewX]; |
| 163 | SkScalar sy = fMat[kMSkewY]; |
| 164 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 165 | if (is_degenerate_2x2(mx, sx, sy, my)) { |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 166 | return false; |
| 167 | } |
| 168 | |
| 169 | // it has scales and skews, but it could also be rotation, check it out. |
| 170 | SkVector vec[2]; |
| 171 | vec[0].set(mx, sx); |
| 172 | vec[1].set(sy, my); |
| 173 | |
| 174 | return SkScalarNearlyZero(vec[0].dot(vec[1]), SkScalarSquare(tol)) && |
| 175 | SkScalarNearlyEqual(vec[0].lengthSqd(), vec[1].lengthSqd(), |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 176 | SkScalarSquare(tol)); |
| 177 | } |
| 178 | |
| 179 | bool SkMatrix::preservesRightAngles(SkScalar tol) const { |
| 180 | TypeMask mask = this->getType(); |
skia.committer@gmail.com | 07d3a65 | 2013-04-10 07:01:15 +0000 | [diff] [blame] | 181 | |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 182 | if (mask <= (SkMatrix::kTranslate_Mask | SkMatrix::kScale_Mask)) { |
| 183 | // identity, translate and/or scale |
| 184 | return true; |
| 185 | } |
| 186 | if (mask & kPerspective_Mask) { |
| 187 | return false; |
| 188 | } |
| 189 | |
| 190 | SkASSERT(mask & kAffine_Mask); |
| 191 | |
| 192 | SkScalar mx = fMat[kMScaleX]; |
| 193 | SkScalar my = fMat[kMScaleY]; |
| 194 | SkScalar sx = fMat[kMSkewX]; |
| 195 | SkScalar sy = fMat[kMSkewY]; |
| 196 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 197 | if (is_degenerate_2x2(mx, sx, sy, my)) { |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 198 | return false; |
| 199 | } |
| 200 | |
| 201 | // it has scales and skews, but it could also be rotation, check it out. |
| 202 | SkVector vec[2]; |
| 203 | vec[0].set(mx, sx); |
| 204 | vec[1].set(sy, my); |
| 205 | |
| 206 | return SkScalarNearlyZero(vec[0].dot(vec[1]), SkScalarSquare(tol)) && |
| 207 | SkScalarNearlyEqual(vec[0].lengthSqd(), vec[1].lengthSqd(), |
| 208 | SkScalarSquare(tol)); |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 209 | } |
| 210 | |
| 211 | /////////////////////////////////////////////////////////////////////////////// |
| 212 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 213 | void SkMatrix::setTranslate(SkScalar dx, SkScalar dy) { |
reed@google.com | c0784db | 2013-12-13 21:16:12 +0000 | [diff] [blame] | 214 | if (dx || dy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 215 | fMat[kMTransX] = dx; |
| 216 | fMat[kMTransY] = dy; |
| 217 | |
| 218 | fMat[kMScaleX] = fMat[kMScaleY] = SK_Scalar1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 219 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 220 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 221 | fMat[kMPersp2] = kMatrix22Elem; |
| 222 | |
| 223 | this->setTypeMask(kTranslate_Mask | kRectStaysRect_Mask); |
| 224 | } else { |
| 225 | this->reset(); |
| 226 | } |
| 227 | } |
| 228 | |
| 229 | bool SkMatrix::preTranslate(SkScalar dx, SkScalar dy) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 230 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 231 | SkMatrix m; |
| 232 | m.setTranslate(dx, dy); |
| 233 | return this->preConcat(m); |
| 234 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 235 | |
reed@google.com | c0784db | 2013-12-13 21:16:12 +0000 | [diff] [blame] | 236 | if (dx || dy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 237 | fMat[kMTransX] += SkScalarMul(fMat[kMScaleX], dx) + |
| 238 | SkScalarMul(fMat[kMSkewX], dy); |
| 239 | fMat[kMTransY] += SkScalarMul(fMat[kMSkewY], dx) + |
| 240 | SkScalarMul(fMat[kMScaleY], dy); |
| 241 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 242 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 243 | } |
| 244 | return true; |
| 245 | } |
| 246 | |
| 247 | bool SkMatrix::postTranslate(SkScalar dx, SkScalar dy) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 248 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 249 | SkMatrix m; |
| 250 | m.setTranslate(dx, dy); |
| 251 | return this->postConcat(m); |
| 252 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 253 | |
reed@google.com | c0784db | 2013-12-13 21:16:12 +0000 | [diff] [blame] | 254 | if (dx || dy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 255 | fMat[kMTransX] += dx; |
| 256 | fMat[kMTransY] += dy; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 257 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 258 | } |
| 259 | return true; |
| 260 | } |
| 261 | |
| 262 | /////////////////////////////////////////////////////////////////////////////// |
| 263 | |
| 264 | void SkMatrix::setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 265 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 266 | this->reset(); |
| 267 | } else { |
| 268 | fMat[kMScaleX] = sx; |
| 269 | fMat[kMScaleY] = sy; |
| 270 | fMat[kMTransX] = px - SkScalarMul(sx, px); |
| 271 | fMat[kMTransY] = py - SkScalarMul(sy, py); |
| 272 | fMat[kMPersp2] = kMatrix22Elem; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 273 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 274 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 275 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 276 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 277 | this->setTypeMask(kScale_Mask | kTranslate_Mask | kRectStaysRect_Mask); |
| 278 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 279 | } |
| 280 | |
| 281 | void SkMatrix::setScale(SkScalar sx, SkScalar sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 282 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 283 | this->reset(); |
| 284 | } else { |
| 285 | fMat[kMScaleX] = sx; |
| 286 | fMat[kMScaleY] = sy; |
| 287 | fMat[kMPersp2] = kMatrix22Elem; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 288 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 289 | fMat[kMTransX] = fMat[kMTransY] = |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 290 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 291 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 292 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 293 | this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); |
| 294 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 295 | } |
| 296 | |
bsalomon@google.com | 5c63865 | 2011-07-18 19:31:59 +0000 | [diff] [blame] | 297 | bool SkMatrix::setIDiv(int divx, int divy) { |
| 298 | if (!divx || !divy) { |
| 299 | return false; |
| 300 | } |
| 301 | this->setScale(SK_Scalar1 / divx, SK_Scalar1 / divy); |
| 302 | return true; |
| 303 | } |
| 304 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 305 | bool SkMatrix::preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 306 | SkMatrix m; |
| 307 | m.setScale(sx, sy, px, py); |
| 308 | return this->preConcat(m); |
| 309 | } |
| 310 | |
| 311 | bool SkMatrix::preScale(SkScalar sx, SkScalar sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 312 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 313 | return true; |
| 314 | } |
| 315 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 316 | #ifdef SK_SCALAR_IS_FIXED |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 317 | SkMatrix m; |
| 318 | m.setScale(sx, sy); |
| 319 | return this->preConcat(m); |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 320 | #else |
| 321 | // the assumption is that these multiplies are very cheap, and that |
| 322 | // a full concat and/or just computing the matrix type is more expensive. |
| 323 | // Also, the fixed-point case checks for overflow, but the float doesn't, |
| 324 | // so we can get away with these blind multiplies. |
| 325 | |
| 326 | fMat[kMScaleX] = SkScalarMul(fMat[kMScaleX], sx); |
| 327 | fMat[kMSkewY] = SkScalarMul(fMat[kMSkewY], sx); |
| 328 | fMat[kMPersp0] = SkScalarMul(fMat[kMPersp0], sx); |
| 329 | |
| 330 | fMat[kMSkewX] = SkScalarMul(fMat[kMSkewX], sy); |
| 331 | fMat[kMScaleY] = SkScalarMul(fMat[kMScaleY], sy); |
| 332 | fMat[kMPersp1] = SkScalarMul(fMat[kMPersp1], sy); |
| 333 | |
| 334 | this->orTypeMask(kScale_Mask); |
| 335 | return true; |
| 336 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 337 | } |
| 338 | |
| 339 | bool SkMatrix::postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 340 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 341 | return true; |
| 342 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 343 | SkMatrix m; |
| 344 | m.setScale(sx, sy, px, py); |
| 345 | return this->postConcat(m); |
| 346 | } |
| 347 | |
| 348 | bool SkMatrix::postScale(SkScalar sx, SkScalar sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 349 | if (SK_Scalar1 == sx && SK_Scalar1 == sy) { |
| 350 | return true; |
| 351 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 352 | SkMatrix m; |
| 353 | m.setScale(sx, sy); |
| 354 | return this->postConcat(m); |
| 355 | } |
| 356 | |
| 357 | #ifdef SK_SCALAR_IS_FIXED |
| 358 | static inline SkFixed roundidiv(SkFixed numer, int denom) { |
| 359 | int ns = numer >> 31; |
| 360 | int ds = denom >> 31; |
| 361 | numer = (numer ^ ns) - ns; |
| 362 | denom = (denom ^ ds) - ds; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 363 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 364 | SkFixed answer = (numer + (denom >> 1)) / denom; |
| 365 | int as = ns ^ ds; |
| 366 | return (answer ^ as) - as; |
| 367 | } |
| 368 | #endif |
| 369 | |
| 370 | // this guy perhaps can go away, if we have a fract/high-precision way to |
| 371 | // scale matrices |
| 372 | bool SkMatrix::postIDiv(int divx, int divy) { |
| 373 | if (divx == 0 || divy == 0) { |
| 374 | return false; |
| 375 | } |
| 376 | |
| 377 | #ifdef SK_SCALAR_IS_FIXED |
| 378 | fMat[kMScaleX] = roundidiv(fMat[kMScaleX], divx); |
| 379 | fMat[kMSkewX] = roundidiv(fMat[kMSkewX], divx); |
| 380 | fMat[kMTransX] = roundidiv(fMat[kMTransX], divx); |
| 381 | |
| 382 | fMat[kMScaleY] = roundidiv(fMat[kMScaleY], divy); |
| 383 | fMat[kMSkewY] = roundidiv(fMat[kMSkewY], divy); |
| 384 | fMat[kMTransY] = roundidiv(fMat[kMTransY], divy); |
| 385 | #else |
| 386 | const float invX = 1.f / divx; |
| 387 | const float invY = 1.f / divy; |
| 388 | |
| 389 | fMat[kMScaleX] *= invX; |
| 390 | fMat[kMSkewX] *= invX; |
| 391 | fMat[kMTransX] *= invX; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 392 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 393 | fMat[kMScaleY] *= invY; |
| 394 | fMat[kMSkewY] *= invY; |
| 395 | fMat[kMTransY] *= invY; |
| 396 | #endif |
| 397 | |
| 398 | this->setTypeMask(kUnknown_Mask); |
| 399 | return true; |
| 400 | } |
| 401 | |
| 402 | //////////////////////////////////////////////////////////////////////////////////// |
| 403 | |
| 404 | void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV, |
| 405 | SkScalar px, SkScalar py) { |
| 406 | const SkScalar oneMinusCosV = SK_Scalar1 - cosV; |
| 407 | |
| 408 | fMat[kMScaleX] = cosV; |
| 409 | fMat[kMSkewX] = -sinV; |
| 410 | fMat[kMTransX] = SkScalarMul(sinV, py) + SkScalarMul(oneMinusCosV, px); |
| 411 | |
| 412 | fMat[kMSkewY] = sinV; |
| 413 | fMat[kMScaleY] = cosV; |
| 414 | fMat[kMTransY] = SkScalarMul(-sinV, px) + SkScalarMul(oneMinusCosV, py); |
| 415 | |
| 416 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 417 | fMat[kMPersp2] = kMatrix22Elem; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 418 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 419 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 420 | } |
| 421 | |
| 422 | void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV) { |
| 423 | fMat[kMScaleX] = cosV; |
| 424 | fMat[kMSkewX] = -sinV; |
| 425 | fMat[kMTransX] = 0; |
| 426 | |
| 427 | fMat[kMSkewY] = sinV; |
| 428 | fMat[kMScaleY] = cosV; |
| 429 | fMat[kMTransY] = 0; |
| 430 | |
| 431 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 432 | fMat[kMPersp2] = kMatrix22Elem; |
| 433 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 434 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 435 | } |
| 436 | |
| 437 | void SkMatrix::setRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
| 438 | SkScalar sinV, cosV; |
| 439 | sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); |
| 440 | this->setSinCos(sinV, cosV, px, py); |
| 441 | } |
| 442 | |
| 443 | void SkMatrix::setRotate(SkScalar degrees) { |
| 444 | SkScalar sinV, cosV; |
| 445 | sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); |
| 446 | this->setSinCos(sinV, cosV); |
| 447 | } |
| 448 | |
| 449 | bool SkMatrix::preRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
| 450 | SkMatrix m; |
| 451 | m.setRotate(degrees, px, py); |
| 452 | return this->preConcat(m); |
| 453 | } |
| 454 | |
| 455 | bool SkMatrix::preRotate(SkScalar degrees) { |
| 456 | SkMatrix m; |
| 457 | m.setRotate(degrees); |
| 458 | return this->preConcat(m); |
| 459 | } |
| 460 | |
| 461 | bool SkMatrix::postRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
| 462 | SkMatrix m; |
| 463 | m.setRotate(degrees, px, py); |
| 464 | return this->postConcat(m); |
| 465 | } |
| 466 | |
| 467 | bool SkMatrix::postRotate(SkScalar degrees) { |
| 468 | SkMatrix m; |
| 469 | m.setRotate(degrees); |
| 470 | return this->postConcat(m); |
| 471 | } |
| 472 | |
| 473 | //////////////////////////////////////////////////////////////////////////////////// |
| 474 | |
| 475 | void SkMatrix::setSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 476 | fMat[kMScaleX] = SK_Scalar1; |
| 477 | fMat[kMSkewX] = sx; |
| 478 | fMat[kMTransX] = SkScalarMul(-sx, py); |
| 479 | |
| 480 | fMat[kMSkewY] = sy; |
| 481 | fMat[kMScaleY] = SK_Scalar1; |
| 482 | fMat[kMTransY] = SkScalarMul(-sy, px); |
| 483 | |
| 484 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 485 | fMat[kMPersp2] = kMatrix22Elem; |
| 486 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 487 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 488 | } |
| 489 | |
| 490 | void SkMatrix::setSkew(SkScalar sx, SkScalar sy) { |
| 491 | fMat[kMScaleX] = SK_Scalar1; |
| 492 | fMat[kMSkewX] = sx; |
| 493 | fMat[kMTransX] = 0; |
| 494 | |
| 495 | fMat[kMSkewY] = sy; |
| 496 | fMat[kMScaleY] = SK_Scalar1; |
| 497 | fMat[kMTransY] = 0; |
| 498 | |
| 499 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 500 | fMat[kMPersp2] = kMatrix22Elem; |
| 501 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 502 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 503 | } |
| 504 | |
| 505 | bool SkMatrix::preSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 506 | SkMatrix m; |
| 507 | m.setSkew(sx, sy, px, py); |
| 508 | return this->preConcat(m); |
| 509 | } |
| 510 | |
| 511 | bool SkMatrix::preSkew(SkScalar sx, SkScalar sy) { |
| 512 | SkMatrix m; |
| 513 | m.setSkew(sx, sy); |
| 514 | return this->preConcat(m); |
| 515 | } |
| 516 | |
| 517 | bool SkMatrix::postSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 518 | SkMatrix m; |
| 519 | m.setSkew(sx, sy, px, py); |
| 520 | return this->postConcat(m); |
| 521 | } |
| 522 | |
| 523 | bool SkMatrix::postSkew(SkScalar sx, SkScalar sy) { |
| 524 | SkMatrix m; |
| 525 | m.setSkew(sx, sy); |
| 526 | return this->postConcat(m); |
| 527 | } |
| 528 | |
| 529 | /////////////////////////////////////////////////////////////////////////////// |
| 530 | |
| 531 | bool SkMatrix::setRectToRect(const SkRect& src, const SkRect& dst, |
| 532 | ScaleToFit align) |
| 533 | { |
| 534 | if (src.isEmpty()) { |
| 535 | this->reset(); |
| 536 | return false; |
| 537 | } |
| 538 | |
| 539 | if (dst.isEmpty()) { |
reed@android.com | 4516f47 | 2009-06-29 16:25:36 +0000 | [diff] [blame] | 540 | sk_bzero(fMat, 8 * sizeof(SkScalar)); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 541 | this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); |
| 542 | } else { |
| 543 | SkScalar tx, sx = SkScalarDiv(dst.width(), src.width()); |
| 544 | SkScalar ty, sy = SkScalarDiv(dst.height(), src.height()); |
| 545 | bool xLarger = false; |
| 546 | |
| 547 | if (align != kFill_ScaleToFit) { |
| 548 | if (sx > sy) { |
| 549 | xLarger = true; |
| 550 | sx = sy; |
| 551 | } else { |
| 552 | sy = sx; |
| 553 | } |
| 554 | } |
| 555 | |
| 556 | tx = dst.fLeft - SkScalarMul(src.fLeft, sx); |
| 557 | ty = dst.fTop - SkScalarMul(src.fTop, sy); |
| 558 | if (align == kCenter_ScaleToFit || align == kEnd_ScaleToFit) { |
| 559 | SkScalar diff; |
| 560 | |
| 561 | if (xLarger) { |
| 562 | diff = dst.width() - SkScalarMul(src.width(), sy); |
| 563 | } else { |
| 564 | diff = dst.height() - SkScalarMul(src.height(), sy); |
| 565 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 566 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 567 | if (align == kCenter_ScaleToFit) { |
| 568 | diff = SkScalarHalf(diff); |
| 569 | } |
| 570 | |
| 571 | if (xLarger) { |
| 572 | tx += diff; |
| 573 | } else { |
| 574 | ty += diff; |
| 575 | } |
| 576 | } |
| 577 | |
| 578 | fMat[kMScaleX] = sx; |
| 579 | fMat[kMScaleY] = sy; |
| 580 | fMat[kMTransX] = tx; |
| 581 | fMat[kMTransY] = ty; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 582 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 583 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 584 | |
reed@google.com | 97cd69c | 2012-10-12 14:35:48 +0000 | [diff] [blame] | 585 | unsigned mask = kRectStaysRect_Mask; |
| 586 | if (sx != SK_Scalar1 || sy != SK_Scalar1) { |
| 587 | mask |= kScale_Mask; |
| 588 | } |
| 589 | if (tx || ty) { |
| 590 | mask |= kTranslate_Mask; |
| 591 | } |
| 592 | this->setTypeMask(mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 593 | } |
| 594 | // shared cleanup |
| 595 | fMat[kMPersp2] = kMatrix22Elem; |
| 596 | return true; |
| 597 | } |
| 598 | |
| 599 | /////////////////////////////////////////////////////////////////////////////// |
| 600 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 601 | static inline int fixmuladdmul(float a, float b, float c, float d, |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 602 | float* result) { |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 603 | *result = SkDoubleToFloat((double)a * b + (double)c * d); |
| 604 | return true; |
| 605 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 606 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 607 | static inline bool rowcol3(const float row[], const float col[], |
| 608 | float* result) { |
| 609 | *result = row[0] * col[0] + row[1] * col[3] + row[2] * col[6]; |
| 610 | return true; |
| 611 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 612 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 613 | static inline int negifaddoverflows(float& result, float a, float b) { |
| 614 | result = a + b; |
| 615 | return 0; |
| 616 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 617 | |
| 618 | static void normalize_perspective(SkScalar mat[9]) { |
| 619 | if (SkScalarAbs(mat[SkMatrix::kMPersp2]) > kMatrix22Elem) { |
| 620 | for (int i = 0; i < 9; i++) |
| 621 | mat[i] = SkScalarHalf(mat[i]); |
| 622 | } |
| 623 | } |
| 624 | |
| 625 | bool SkMatrix::setConcat(const SkMatrix& a, const SkMatrix& b) { |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 626 | TypeMask aType = a.getPerspectiveTypeMaskOnly(); |
| 627 | TypeMask bType = b.getPerspectiveTypeMaskOnly(); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 628 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 629 | if (a.isTriviallyIdentity()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 630 | *this = b; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 631 | } else if (b.isTriviallyIdentity()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 632 | *this = a; |
| 633 | } else { |
| 634 | SkMatrix tmp; |
| 635 | |
| 636 | if ((aType | bType) & kPerspective_Mask) { |
| 637 | if (!rowcol3(&a.fMat[0], &b.fMat[0], &tmp.fMat[kMScaleX])) { |
| 638 | return false; |
| 639 | } |
| 640 | if (!rowcol3(&a.fMat[0], &b.fMat[1], &tmp.fMat[kMSkewX])) { |
| 641 | return false; |
| 642 | } |
| 643 | if (!rowcol3(&a.fMat[0], &b.fMat[2], &tmp.fMat[kMTransX])) { |
| 644 | return false; |
| 645 | } |
| 646 | |
| 647 | if (!rowcol3(&a.fMat[3], &b.fMat[0], &tmp.fMat[kMSkewY])) { |
| 648 | return false; |
| 649 | } |
| 650 | if (!rowcol3(&a.fMat[3], &b.fMat[1], &tmp.fMat[kMScaleY])) { |
| 651 | return false; |
| 652 | } |
| 653 | if (!rowcol3(&a.fMat[3], &b.fMat[2], &tmp.fMat[kMTransY])) { |
| 654 | return false; |
| 655 | } |
| 656 | |
| 657 | if (!rowcol3(&a.fMat[6], &b.fMat[0], &tmp.fMat[kMPersp0])) { |
| 658 | return false; |
| 659 | } |
| 660 | if (!rowcol3(&a.fMat[6], &b.fMat[1], &tmp.fMat[kMPersp1])) { |
| 661 | return false; |
| 662 | } |
| 663 | if (!rowcol3(&a.fMat[6], &b.fMat[2], &tmp.fMat[kMPersp2])) { |
| 664 | return false; |
| 665 | } |
| 666 | |
| 667 | normalize_perspective(tmp.fMat); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 668 | tmp.setTypeMask(kUnknown_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 669 | } else { // not perspective |
| 670 | if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMScaleX], |
| 671 | a.fMat[kMSkewX], b.fMat[kMSkewY], &tmp.fMat[kMScaleX])) { |
| 672 | return false; |
| 673 | } |
| 674 | if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMSkewX], |
| 675 | a.fMat[kMSkewX], b.fMat[kMScaleY], &tmp.fMat[kMSkewX])) { |
| 676 | return false; |
| 677 | } |
| 678 | if (!fixmuladdmul(a.fMat[kMScaleX], b.fMat[kMTransX], |
| 679 | a.fMat[kMSkewX], b.fMat[kMTransY], &tmp.fMat[kMTransX])) { |
| 680 | return false; |
| 681 | } |
| 682 | if (negifaddoverflows(tmp.fMat[kMTransX], tmp.fMat[kMTransX], |
| 683 | a.fMat[kMTransX]) < 0) { |
| 684 | return false; |
| 685 | } |
| 686 | |
| 687 | if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMScaleX], |
| 688 | a.fMat[kMScaleY], b.fMat[kMSkewY], &tmp.fMat[kMSkewY])) { |
| 689 | return false; |
| 690 | } |
| 691 | if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMSkewX], |
| 692 | a.fMat[kMScaleY], b.fMat[kMScaleY], &tmp.fMat[kMScaleY])) { |
| 693 | return false; |
| 694 | } |
| 695 | if (!fixmuladdmul(a.fMat[kMSkewY], b.fMat[kMTransX], |
| 696 | a.fMat[kMScaleY], b.fMat[kMTransY], &tmp.fMat[kMTransY])) { |
| 697 | return false; |
| 698 | } |
| 699 | if (negifaddoverflows(tmp.fMat[kMTransY], tmp.fMat[kMTransY], |
| 700 | a.fMat[kMTransY]) < 0) { |
| 701 | return false; |
| 702 | } |
| 703 | |
| 704 | tmp.fMat[kMPersp0] = tmp.fMat[kMPersp1] = 0; |
| 705 | tmp.fMat[kMPersp2] = kMatrix22Elem; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 706 | //SkDebugf("Concat mat non-persp type: %d\n", tmp.getType()); |
| 707 | //SkASSERT(!(tmp.getType() & kPerspective_Mask)); |
| 708 | tmp.setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 709 | } |
| 710 | *this = tmp; |
| 711 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 712 | return true; |
| 713 | } |
| 714 | |
| 715 | bool SkMatrix::preConcat(const SkMatrix& mat) { |
| 716 | // check for identity first, so we don't do a needless copy of ourselves |
| 717 | // to ourselves inside setConcat() |
| 718 | return mat.isIdentity() || this->setConcat(*this, mat); |
| 719 | } |
| 720 | |
| 721 | bool SkMatrix::postConcat(const SkMatrix& mat) { |
| 722 | // check for identity first, so we don't do a needless copy of ourselves |
| 723 | // to ourselves inside setConcat() |
| 724 | return mat.isIdentity() || this->setConcat(mat, *this); |
| 725 | } |
| 726 | |
| 727 | /////////////////////////////////////////////////////////////////////////////// |
| 728 | |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 729 | /* Matrix inversion is very expensive, but also the place where keeping |
| 730 | precision may be most important (here and matrix concat). Hence to avoid |
| 731 | bitmap blitting artifacts when walking the inverse, we use doubles for |
| 732 | the intermediate math, even though we know that is more expensive. |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 733 | */ |
| 734 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 735 | typedef double SkDetScalar; |
| 736 | #define SkPerspMul(a, b) SkScalarMul(a, b) |
| 737 | #define SkScalarMulShift(a, b, s) SkDoubleToFloat((a) * (b)) |
| 738 | static double sk_inv_determinant(const float mat[9], int isPerspective, |
| 739 | int* /* (only used in Fixed case) */) { |
| 740 | double det; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 741 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 742 | if (isPerspective) { |
| 743 | det = mat[SkMatrix::kMScaleX] * ((double)mat[SkMatrix::kMScaleY] * mat[SkMatrix::kMPersp2] - (double)mat[SkMatrix::kMTransY] * mat[SkMatrix::kMPersp1]) + |
| 744 | mat[SkMatrix::kMSkewX] * ((double)mat[SkMatrix::kMTransY] * mat[SkMatrix::kMPersp0] - (double)mat[SkMatrix::kMSkewY] * mat[SkMatrix::kMPersp2]) + |
| 745 | mat[SkMatrix::kMTransX] * ((double)mat[SkMatrix::kMSkewY] * mat[SkMatrix::kMPersp1] - (double)mat[SkMatrix::kMScaleY] * mat[SkMatrix::kMPersp0]); |
| 746 | } else { |
| 747 | det = (double)mat[SkMatrix::kMScaleX] * mat[SkMatrix::kMScaleY] - (double)mat[SkMatrix::kMSkewX] * mat[SkMatrix::kMSkewY]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 748 | } |
| 749 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 750 | // Since the determinant is on the order of the cube of the matrix members, |
| 751 | // compare to the cube of the default nearly-zero constant (although an |
| 752 | // estimate of the condition number would be better if it wasn't so expensive). |
| 753 | if (SkScalarNearlyZero((float)det, SK_ScalarNearlyZero * SK_ScalarNearlyZero * SK_ScalarNearlyZero)) { |
| 754 | return 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 755 | } |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame^] | 756 | return 1.0 / det; |
| 757 | } |
| 758 | // we declar a,b,c,d to all be doubles, because we want to perform |
| 759 | // double-precision muls and subtract, even though the original values are |
| 760 | // from the matrix, which are floats. |
| 761 | static float inline mul_diff_scale(double a, double b, double c, double d, |
| 762 | double scale) { |
| 763 | return SkDoubleToFloat((a * b - c * d) * scale); |
| 764 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 765 | |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 766 | void SkMatrix::SetAffineIdentity(SkScalar affine[6]) { |
| 767 | affine[kAScaleX] = SK_Scalar1; |
| 768 | affine[kASkewY] = 0; |
| 769 | affine[kASkewX] = 0; |
| 770 | affine[kAScaleY] = SK_Scalar1; |
| 771 | affine[kATransX] = 0; |
| 772 | affine[kATransY] = 0; |
| 773 | } |
| 774 | |
| 775 | bool SkMatrix::asAffine(SkScalar affine[6]) const { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 776 | if (this->hasPerspective()) { |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 777 | return false; |
vandebo@chromium.org | ddbbd80 | 2010-10-26 19:45:06 +0000 | [diff] [blame] | 778 | } |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 779 | if (affine) { |
| 780 | affine[kAScaleX] = this->fMat[kMScaleX]; |
| 781 | affine[kASkewY] = this->fMat[kMSkewY]; |
| 782 | affine[kASkewX] = this->fMat[kMSkewX]; |
| 783 | affine[kAScaleY] = this->fMat[kMScaleY]; |
| 784 | affine[kATransX] = this->fMat[kMTransX]; |
| 785 | affine[kATransY] = this->fMat[kMTransY]; |
| 786 | } |
vandebo@chromium.org | ddbbd80 | 2010-10-26 19:45:06 +0000 | [diff] [blame] | 787 | return true; |
| 788 | } |
| 789 | |
bsalomon@google.com | 683c3c7 | 2012-10-31 16:50:38 +0000 | [diff] [blame] | 790 | bool SkMatrix::invertNonIdentity(SkMatrix* inv) const { |
| 791 | SkASSERT(!this->isIdentity()); |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 792 | |
| 793 | TypeMask mask = this->getType(); |
| 794 | |
| 795 | if (0 == (mask & ~(kScale_Mask | kTranslate_Mask))) { |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 796 | bool invertible = true; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 797 | if (inv) { |
| 798 | if (mask & kScale_Mask) { |
| 799 | SkScalar invX = fMat[kMScaleX]; |
| 800 | SkScalar invY = fMat[kMScaleY]; |
| 801 | if (0 == invX || 0 == invY) { |
| 802 | return false; |
| 803 | } |
| 804 | invX = SkScalarInvert(invX); |
| 805 | invY = SkScalarInvert(invY); |
| 806 | |
| 807 | // Must be careful when writing to inv, since it may be the |
| 808 | // same memory as this. |
| 809 | |
| 810 | inv->fMat[kMSkewX] = inv->fMat[kMSkewY] = |
| 811 | inv->fMat[kMPersp0] = inv->fMat[kMPersp1] = 0; |
| 812 | |
| 813 | inv->fMat[kMScaleX] = invX; |
| 814 | inv->fMat[kMScaleY] = invY; |
| 815 | inv->fMat[kMPersp2] = kMatrix22Elem; |
| 816 | inv->fMat[kMTransX] = -SkScalarMul(fMat[kMTransX], invX); |
| 817 | inv->fMat[kMTransY] = -SkScalarMul(fMat[kMTransY], invY); |
| 818 | |
| 819 | inv->setTypeMask(mask | kRectStaysRect_Mask); |
| 820 | } else { |
| 821 | // translate only |
| 822 | inv->setTranslate(-fMat[kMTransX], -fMat[kMTransY]); |
| 823 | } |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 824 | } else { // inv is NULL, just check if we're invertible |
| 825 | if (!fMat[kMScaleX] || !fMat[kMScaleY]) { |
| 826 | invertible = false; |
| 827 | } |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 828 | } |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 829 | return invertible; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 830 | } |
reed@google.com | 4a1362a | 2013-01-04 18:52:16 +0000 | [diff] [blame] | 831 | |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 832 | int isPersp = mask & kPerspective_Mask; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 833 | int shift; |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 834 | SkDetScalar scale = sk_inv_determinant(fMat, isPersp, &shift); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 835 | |
| 836 | if (scale == 0) { // underflow |
| 837 | return false; |
| 838 | } |
| 839 | |
| 840 | if (inv) { |
| 841 | SkMatrix tmp; |
bsalomon@google.com | cf9b750 | 2011-08-01 13:26:01 +0000 | [diff] [blame] | 842 | if (inv == this) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 843 | inv = &tmp; |
bsalomon@google.com | cf9b750 | 2011-08-01 13:26:01 +0000 | [diff] [blame] | 844 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 845 | |
| 846 | if (isPersp) { |
| 847 | shift = 61 - shift; |
| 848 | inv->fMat[kMScaleX] = SkScalarMulShift(SkPerspMul(fMat[kMScaleY], fMat[kMPersp2]) - SkPerspMul(fMat[kMTransY], fMat[kMPersp1]), scale, shift); |
| 849 | inv->fMat[kMSkewX] = SkScalarMulShift(SkPerspMul(fMat[kMTransX], fMat[kMPersp1]) - SkPerspMul(fMat[kMSkewX], fMat[kMPersp2]), scale, shift); |
| 850 | inv->fMat[kMTransX] = SkScalarMulShift(SkScalarMul(fMat[kMSkewX], fMat[kMTransY]) - SkScalarMul(fMat[kMTransX], fMat[kMScaleY]), scale, shift); |
| 851 | |
| 852 | inv->fMat[kMSkewY] = SkScalarMulShift(SkPerspMul(fMat[kMTransY], fMat[kMPersp0]) - SkPerspMul(fMat[kMSkewY], fMat[kMPersp2]), scale, shift); |
| 853 | inv->fMat[kMScaleY] = SkScalarMulShift(SkPerspMul(fMat[kMScaleX], fMat[kMPersp2]) - SkPerspMul(fMat[kMTransX], fMat[kMPersp0]), scale, shift); |
| 854 | inv->fMat[kMTransY] = SkScalarMulShift(SkScalarMul(fMat[kMTransX], fMat[kMSkewY]) - SkScalarMul(fMat[kMScaleX], fMat[kMTransY]), scale, shift); |
| 855 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 856 | 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] | 857 | inv->fMat[kMPersp1] = SkScalarMulShift(SkScalarMul(fMat[kMSkewX], fMat[kMPersp0]) - SkScalarMul(fMat[kMScaleX], fMat[kMPersp1]), scale, shift); |
| 858 | inv->fMat[kMPersp2] = SkScalarMulShift(SkScalarMul(fMat[kMScaleX], fMat[kMScaleY]) - SkScalarMul(fMat[kMSkewX], fMat[kMSkewY]), scale, shift); |
| 859 | #ifdef SK_SCALAR_IS_FIXED |
| 860 | if (SkAbs32(inv->fMat[kMPersp2]) > SK_Fixed1) { |
| 861 | Sk64 tmp; |
| 862 | |
| 863 | tmp.set(SK_Fract1); |
| 864 | tmp.shiftLeft(16); |
| 865 | tmp.div(inv->fMat[kMPersp2], Sk64::kRound_DivOption); |
| 866 | |
| 867 | SkFract scale = tmp.get32(); |
| 868 | |
| 869 | for (int i = 0; i < 9; i++) { |
| 870 | inv->fMat[i] = SkFractMul(inv->fMat[i], scale); |
| 871 | } |
| 872 | } |
| 873 | inv->fMat[kMPersp2] = SkFixedToFract(inv->fMat[kMPersp2]); |
| 874 | #endif |
| 875 | } else { // not perspective |
| 876 | #ifdef SK_SCALAR_IS_FIXED |
| 877 | Sk64 tx, ty; |
| 878 | int clzNumer; |
| 879 | |
| 880 | // check the 2x2 for overflow |
| 881 | { |
| 882 | int32_t value = SkAbs32(fMat[kMScaleY]); |
| 883 | value |= SkAbs32(fMat[kMSkewX]); |
| 884 | value |= SkAbs32(fMat[kMScaleX]); |
| 885 | value |= SkAbs32(fMat[kMSkewY]); |
| 886 | clzNumer = SkCLZ(value); |
| 887 | if (shift - clzNumer > 31) |
| 888 | return false; // overflow |
| 889 | } |
| 890 | |
| 891 | set_muladdmul(&tx, fMat[kMSkewX], fMat[kMTransY], -fMat[kMScaleY], fMat[kMTransX]); |
| 892 | set_muladdmul(&ty, fMat[kMSkewY], fMat[kMTransX], -fMat[kMScaleX], fMat[kMTransY]); |
| 893 | // check tx,ty for overflow |
| 894 | clzNumer = SkCLZ(SkAbs32(tx.fHi) | SkAbs32(ty.fHi)); |
| 895 | if (shift - clzNumer > 14) { |
| 896 | return false; // overflow |
| 897 | } |
| 898 | |
| 899 | int fixedShift = 61 - shift; |
| 900 | int sk64shift = 44 - shift + clzNumer; |
| 901 | |
| 902 | inv->fMat[kMScaleX] = SkMulShift(fMat[kMScaleY], scale, fixedShift); |
| 903 | inv->fMat[kMSkewX] = SkMulShift(-fMat[kMSkewX], scale, fixedShift); |
| 904 | inv->fMat[kMTransX] = SkMulShift(tx.getShiftRight(33 - clzNumer), scale, sk64shift); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 905 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 906 | inv->fMat[kMSkewY] = SkMulShift(-fMat[kMSkewY], scale, fixedShift); |
| 907 | inv->fMat[kMScaleY] = SkMulShift(fMat[kMScaleX], scale, fixedShift); |
| 908 | inv->fMat[kMTransY] = SkMulShift(ty.getShiftRight(33 - clzNumer), scale, sk64shift); |
| 909 | #else |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 910 | inv->fMat[kMScaleX] = SkDoubleToFloat(fMat[kMScaleY] * scale); |
| 911 | inv->fMat[kMSkewX] = SkDoubleToFloat(-fMat[kMSkewX] * scale); |
| 912 | inv->fMat[kMTransX] = mul_diff_scale(fMat[kMSkewX], fMat[kMTransY], |
| 913 | fMat[kMScaleY], fMat[kMTransX], scale); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 914 | |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 915 | inv->fMat[kMSkewY] = SkDoubleToFloat(-fMat[kMSkewY] * scale); |
| 916 | inv->fMat[kMScaleY] = SkDoubleToFloat(fMat[kMScaleX] * scale); |
| 917 | inv->fMat[kMTransY] = mul_diff_scale(fMat[kMSkewY], fMat[kMTransX], |
| 918 | fMat[kMScaleX], fMat[kMTransY], scale); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 919 | #endif |
| 920 | inv->fMat[kMPersp0] = 0; |
| 921 | inv->fMat[kMPersp1] = 0; |
| 922 | inv->fMat[kMPersp2] = kMatrix22Elem; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 923 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 924 | } |
| 925 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 926 | inv->setTypeMask(fTypeMask); |
| 927 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 928 | if (inv == &tmp) { |
| 929 | *(SkMatrix*)this = tmp; |
| 930 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 931 | } |
| 932 | return true; |
| 933 | } |
| 934 | |
| 935 | /////////////////////////////////////////////////////////////////////////////// |
| 936 | |
| 937 | void SkMatrix::Identity_pts(const SkMatrix& m, SkPoint dst[], |
| 938 | const SkPoint src[], int count) { |
| 939 | SkASSERT(m.getType() == 0); |
| 940 | |
| 941 | if (dst != src && count > 0) |
| 942 | memcpy(dst, src, count * sizeof(SkPoint)); |
| 943 | } |
| 944 | |
| 945 | void SkMatrix::Trans_pts(const SkMatrix& m, SkPoint dst[], |
| 946 | const SkPoint src[], int count) { |
| 947 | SkASSERT(m.getType() == kTranslate_Mask); |
| 948 | |
| 949 | if (count > 0) { |
| 950 | SkScalar tx = m.fMat[kMTransX]; |
| 951 | SkScalar ty = m.fMat[kMTransY]; |
| 952 | do { |
| 953 | dst->fY = src->fY + ty; |
| 954 | dst->fX = src->fX + tx; |
| 955 | src += 1; |
| 956 | dst += 1; |
| 957 | } while (--count); |
| 958 | } |
| 959 | } |
| 960 | |
| 961 | void SkMatrix::Scale_pts(const SkMatrix& m, SkPoint dst[], |
| 962 | const SkPoint src[], int count) { |
| 963 | SkASSERT(m.getType() == kScale_Mask); |
| 964 | |
| 965 | if (count > 0) { |
| 966 | SkScalar mx = m.fMat[kMScaleX]; |
| 967 | SkScalar my = m.fMat[kMScaleY]; |
| 968 | do { |
| 969 | dst->fY = SkScalarMul(src->fY, my); |
| 970 | dst->fX = SkScalarMul(src->fX, mx); |
| 971 | src += 1; |
| 972 | dst += 1; |
| 973 | } while (--count); |
| 974 | } |
| 975 | } |
| 976 | |
| 977 | void SkMatrix::ScaleTrans_pts(const SkMatrix& m, SkPoint dst[], |
| 978 | const SkPoint src[], int count) { |
| 979 | SkASSERT(m.getType() == (kScale_Mask | kTranslate_Mask)); |
| 980 | |
| 981 | if (count > 0) { |
| 982 | SkScalar mx = m.fMat[kMScaleX]; |
| 983 | SkScalar my = m.fMat[kMScaleY]; |
| 984 | SkScalar tx = m.fMat[kMTransX]; |
| 985 | SkScalar ty = m.fMat[kMTransY]; |
| 986 | do { |
| 987 | dst->fY = SkScalarMulAdd(src->fY, my, ty); |
| 988 | dst->fX = SkScalarMulAdd(src->fX, mx, tx); |
| 989 | src += 1; |
| 990 | dst += 1; |
| 991 | } while (--count); |
| 992 | } |
| 993 | } |
| 994 | |
| 995 | void SkMatrix::Rot_pts(const SkMatrix& m, SkPoint dst[], |
| 996 | const SkPoint src[], int count) { |
| 997 | SkASSERT((m.getType() & (kPerspective_Mask | kTranslate_Mask)) == 0); |
| 998 | |
| 999 | if (count > 0) { |
| 1000 | SkScalar mx = m.fMat[kMScaleX]; |
| 1001 | SkScalar my = m.fMat[kMScaleY]; |
| 1002 | SkScalar kx = m.fMat[kMSkewX]; |
| 1003 | SkScalar ky = m.fMat[kMSkewY]; |
| 1004 | do { |
| 1005 | SkScalar sy = src->fY; |
| 1006 | SkScalar sx = src->fX; |
| 1007 | src += 1; |
| 1008 | dst->fY = SkScalarMul(sx, ky) + SkScalarMul(sy, my); |
| 1009 | dst->fX = SkScalarMul(sx, mx) + SkScalarMul(sy, kx); |
| 1010 | dst += 1; |
| 1011 | } while (--count); |
| 1012 | } |
| 1013 | } |
| 1014 | |
| 1015 | void SkMatrix::RotTrans_pts(const SkMatrix& m, SkPoint dst[], |
| 1016 | const SkPoint src[], int count) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1017 | SkASSERT(!m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1018 | |
| 1019 | if (count > 0) { |
| 1020 | SkScalar mx = m.fMat[kMScaleX]; |
| 1021 | SkScalar my = m.fMat[kMScaleY]; |
| 1022 | SkScalar kx = m.fMat[kMSkewX]; |
| 1023 | SkScalar ky = m.fMat[kMSkewY]; |
| 1024 | SkScalar tx = m.fMat[kMTransX]; |
| 1025 | SkScalar ty = m.fMat[kMTransY]; |
| 1026 | do { |
| 1027 | SkScalar sy = src->fY; |
| 1028 | SkScalar sx = src->fX; |
| 1029 | src += 1; |
| 1030 | dst->fY = SkScalarMul(sx, ky) + SkScalarMulAdd(sy, my, ty); |
| 1031 | dst->fX = SkScalarMul(sx, mx) + SkScalarMulAdd(sy, kx, tx); |
| 1032 | dst += 1; |
| 1033 | } while (--count); |
| 1034 | } |
| 1035 | } |
| 1036 | |
| 1037 | void SkMatrix::Persp_pts(const SkMatrix& m, SkPoint dst[], |
| 1038 | const SkPoint src[], int count) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1039 | SkASSERT(m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1040 | |
| 1041 | #ifdef SK_SCALAR_IS_FIXED |
| 1042 | SkFixed persp2 = SkFractToFixed(m.fMat[kMPersp2]); |
| 1043 | #endif |
| 1044 | |
| 1045 | if (count > 0) { |
| 1046 | do { |
| 1047 | SkScalar sy = src->fY; |
| 1048 | SkScalar sx = src->fX; |
| 1049 | src += 1; |
| 1050 | |
| 1051 | SkScalar x = SkScalarMul(sx, m.fMat[kMScaleX]) + |
| 1052 | SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1053 | SkScalar y = SkScalarMul(sx, m.fMat[kMSkewY]) + |
| 1054 | SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1055 | #ifdef SK_SCALAR_IS_FIXED |
| 1056 | SkFixed z = SkFractMul(sx, m.fMat[kMPersp0]) + |
| 1057 | SkFractMul(sy, m.fMat[kMPersp1]) + persp2; |
| 1058 | #else |
| 1059 | float z = SkScalarMul(sx, m.fMat[kMPersp0]) + |
| 1060 | SkScalarMulAdd(sy, m.fMat[kMPersp1], m.fMat[kMPersp2]); |
| 1061 | #endif |
| 1062 | if (z) { |
| 1063 | z = SkScalarFastInvert(z); |
| 1064 | } |
| 1065 | |
| 1066 | dst->fY = SkScalarMul(y, z); |
| 1067 | dst->fX = SkScalarMul(x, z); |
| 1068 | dst += 1; |
| 1069 | } while (--count); |
| 1070 | } |
| 1071 | } |
| 1072 | |
| 1073 | const SkMatrix::MapPtsProc SkMatrix::gMapPtsProcs[] = { |
| 1074 | SkMatrix::Identity_pts, SkMatrix::Trans_pts, |
| 1075 | SkMatrix::Scale_pts, SkMatrix::ScaleTrans_pts, |
| 1076 | SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, |
| 1077 | SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, |
| 1078 | // repeat the persp proc 8 times |
| 1079 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1080 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1081 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1082 | SkMatrix::Persp_pts, SkMatrix::Persp_pts |
| 1083 | }; |
| 1084 | |
| 1085 | void SkMatrix::mapPoints(SkPoint dst[], const SkPoint src[], int count) const { |
egdaniel@google.com | 259fbaf | 2013-08-15 21:12:11 +0000 | [diff] [blame] | 1086 | SkASSERT((dst && src && count > 0) || 0 == count); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1087 | // no partial overlap |
bungeman@google.com | 3dc82c4 | 2013-10-11 19:11:10 +0000 | [diff] [blame] | 1088 | SkASSERT(src == dst || &dst[count] <= &src[0] || &src[count] <= &dst[0]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1089 | |
| 1090 | this->getMapPtsProc()(*this, dst, src, count); |
| 1091 | } |
| 1092 | |
| 1093 | /////////////////////////////////////////////////////////////////////////////// |
| 1094 | |
egdaniel@google.com | 259fbaf | 2013-08-15 21:12:11 +0000 | [diff] [blame] | 1095 | void SkMatrix::mapHomogeneousPoints(SkScalar dst[], const SkScalar src[], int count) const { |
| 1096 | SkASSERT((dst && src && count > 0) || 0 == count); |
| 1097 | // no partial overlap |
| 1098 | SkASSERT(src == dst || SkAbs32((int32_t)(src - dst)) >= 3*count); |
| 1099 | |
| 1100 | if (count > 0) { |
| 1101 | if (this->isIdentity()) { |
| 1102 | memcpy(dst, src, 3*count*sizeof(SkScalar)); |
| 1103 | return; |
| 1104 | } |
| 1105 | do { |
| 1106 | SkScalar sx = src[0]; |
| 1107 | SkScalar sy = src[1]; |
| 1108 | SkScalar sw = src[2]; |
| 1109 | src += 3; |
| 1110 | |
| 1111 | SkScalar x = SkScalarMul(sx, fMat[kMScaleX]) + |
| 1112 | SkScalarMul(sy, fMat[kMSkewX]) + |
| 1113 | SkScalarMul(sw, fMat[kMTransX]); |
| 1114 | SkScalar y = SkScalarMul(sx, fMat[kMSkewY]) + |
| 1115 | SkScalarMul(sy, fMat[kMScaleY]) + |
| 1116 | SkScalarMul(sw, fMat[kMTransY]); |
| 1117 | SkScalar w = SkScalarMul(sx, fMat[kMPersp0]) + |
| 1118 | SkScalarMul(sy, fMat[kMPersp1]) + |
| 1119 | SkScalarMul(sw, fMat[kMPersp2]); |
| 1120 | |
| 1121 | dst[0] = x; |
| 1122 | dst[1] = y; |
| 1123 | dst[2] = w; |
| 1124 | dst += 3; |
| 1125 | } while (--count); |
| 1126 | } |
| 1127 | } |
| 1128 | |
| 1129 | /////////////////////////////////////////////////////////////////////////////// |
| 1130 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1131 | void SkMatrix::mapVectors(SkPoint dst[], const SkPoint src[], int count) const { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1132 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1133 | SkPoint origin; |
| 1134 | |
| 1135 | MapXYProc proc = this->getMapXYProc(); |
| 1136 | proc(*this, 0, 0, &origin); |
| 1137 | |
| 1138 | for (int i = count - 1; i >= 0; --i) { |
| 1139 | SkPoint tmp; |
| 1140 | |
| 1141 | proc(*this, src[i].fX, src[i].fY, &tmp); |
| 1142 | dst[i].set(tmp.fX - origin.fX, tmp.fY - origin.fY); |
| 1143 | } |
| 1144 | } else { |
| 1145 | SkMatrix tmp = *this; |
| 1146 | |
| 1147 | tmp.fMat[kMTransX] = tmp.fMat[kMTransY] = 0; |
| 1148 | tmp.clearTypeMask(kTranslate_Mask); |
| 1149 | tmp.mapPoints(dst, src, count); |
| 1150 | } |
| 1151 | } |
| 1152 | |
| 1153 | bool SkMatrix::mapRect(SkRect* dst, const SkRect& src) const { |
| 1154 | SkASSERT(dst && &src); |
| 1155 | |
| 1156 | if (this->rectStaysRect()) { |
| 1157 | this->mapPoints((SkPoint*)dst, (const SkPoint*)&src, 2); |
| 1158 | dst->sort(); |
| 1159 | return true; |
| 1160 | } else { |
| 1161 | SkPoint quad[4]; |
| 1162 | |
| 1163 | src.toQuad(quad); |
| 1164 | this->mapPoints(quad, quad, 4); |
| 1165 | dst->set(quad, 4); |
| 1166 | return false; |
| 1167 | } |
| 1168 | } |
| 1169 | |
| 1170 | SkScalar SkMatrix::mapRadius(SkScalar radius) const { |
| 1171 | SkVector vec[2]; |
| 1172 | |
| 1173 | vec[0].set(radius, 0); |
| 1174 | vec[1].set(0, radius); |
| 1175 | this->mapVectors(vec, 2); |
| 1176 | |
| 1177 | SkScalar d0 = vec[0].length(); |
| 1178 | SkScalar d1 = vec[1].length(); |
| 1179 | |
| 1180 | return SkScalarMean(d0, d1); |
| 1181 | } |
| 1182 | |
| 1183 | /////////////////////////////////////////////////////////////////////////////// |
| 1184 | |
| 1185 | void SkMatrix::Persp_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1186 | SkPoint* pt) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1187 | SkASSERT(m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1188 | |
| 1189 | SkScalar x = SkScalarMul(sx, m.fMat[kMScaleX]) + |
| 1190 | SkScalarMul(sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1191 | SkScalar y = SkScalarMul(sx, m.fMat[kMSkewY]) + |
| 1192 | SkScalarMul(sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1193 | #ifdef SK_SCALAR_IS_FIXED |
| 1194 | SkFixed z = SkFractMul(sx, m.fMat[kMPersp0]) + |
| 1195 | SkFractMul(sy, m.fMat[kMPersp1]) + |
| 1196 | SkFractToFixed(m.fMat[kMPersp2]); |
| 1197 | #else |
| 1198 | float z = SkScalarMul(sx, m.fMat[kMPersp0]) + |
| 1199 | SkScalarMul(sy, m.fMat[kMPersp1]) + m.fMat[kMPersp2]; |
| 1200 | #endif |
| 1201 | if (z) { |
| 1202 | z = SkScalarFastInvert(z); |
| 1203 | } |
| 1204 | pt->fX = SkScalarMul(x, z); |
| 1205 | pt->fY = SkScalarMul(y, z); |
| 1206 | } |
| 1207 | |
| 1208 | #ifdef SK_SCALAR_IS_FIXED |
| 1209 | static SkFixed fixmuladdmul(SkFixed a, SkFixed b, SkFixed c, SkFixed d) { |
| 1210 | Sk64 tmp, tmp1; |
| 1211 | |
| 1212 | tmp.setMul(a, b); |
| 1213 | tmp1.setMul(c, d); |
| 1214 | return tmp.addGetFixed(tmp1); |
| 1215 | // tmp.add(tmp1); |
| 1216 | // return tmp.getFixed(); |
| 1217 | } |
| 1218 | #endif |
| 1219 | |
| 1220 | void SkMatrix::RotTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1221 | SkPoint* pt) { |
| 1222 | SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask)) == kAffine_Mask); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1223 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1224 | #ifdef SK_SCALAR_IS_FIXED |
| 1225 | pt->fX = fixmuladdmul(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + |
| 1226 | m.fMat[kMTransX]; |
| 1227 | pt->fY = fixmuladdmul(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + |
| 1228 | m.fMat[kMTransY]; |
| 1229 | #else |
| 1230 | pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + |
| 1231 | SkScalarMulAdd(sy, m.fMat[kMSkewX], m.fMat[kMTransX]); |
| 1232 | pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + |
| 1233 | SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); |
| 1234 | #endif |
| 1235 | } |
| 1236 | |
| 1237 | void SkMatrix::Rot_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1238 | SkPoint* pt) { |
| 1239 | SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask))== kAffine_Mask); |
| 1240 | SkASSERT(0 == m.fMat[kMTransX]); |
| 1241 | SkASSERT(0 == m.fMat[kMTransY]); |
| 1242 | |
| 1243 | #ifdef SK_SCALAR_IS_FIXED |
| 1244 | pt->fX = fixmuladdmul(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]); |
| 1245 | pt->fY = fixmuladdmul(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]); |
| 1246 | #else |
| 1247 | pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]) + |
| 1248 | SkScalarMulAdd(sy, m.fMat[kMSkewX], m.fMat[kMTransX]); |
| 1249 | pt->fY = SkScalarMul(sx, m.fMat[kMSkewY]) + |
| 1250 | SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); |
| 1251 | #endif |
| 1252 | } |
| 1253 | |
| 1254 | void SkMatrix::ScaleTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1255 | SkPoint* pt) { |
| 1256 | SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) |
| 1257 | == kScale_Mask); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1258 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1259 | pt->fX = SkScalarMulAdd(sx, m.fMat[kMScaleX], m.fMat[kMTransX]); |
| 1260 | pt->fY = SkScalarMulAdd(sy, m.fMat[kMScaleY], m.fMat[kMTransY]); |
| 1261 | } |
| 1262 | |
| 1263 | void SkMatrix::Scale_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1264 | SkPoint* pt) { |
| 1265 | SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) |
| 1266 | == kScale_Mask); |
| 1267 | SkASSERT(0 == m.fMat[kMTransX]); |
| 1268 | SkASSERT(0 == m.fMat[kMTransY]); |
| 1269 | |
| 1270 | pt->fX = SkScalarMul(sx, m.fMat[kMScaleX]); |
| 1271 | pt->fY = SkScalarMul(sy, m.fMat[kMScaleY]); |
| 1272 | } |
| 1273 | |
| 1274 | void SkMatrix::Trans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1275 | SkPoint* pt) { |
| 1276 | SkASSERT(m.getType() == kTranslate_Mask); |
| 1277 | |
| 1278 | pt->fX = sx + m.fMat[kMTransX]; |
| 1279 | pt->fY = sy + m.fMat[kMTransY]; |
| 1280 | } |
| 1281 | |
| 1282 | void SkMatrix::Identity_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1283 | SkPoint* pt) { |
| 1284 | SkASSERT(0 == m.getType()); |
| 1285 | |
| 1286 | pt->fX = sx; |
| 1287 | pt->fY = sy; |
| 1288 | } |
| 1289 | |
| 1290 | const SkMatrix::MapXYProc SkMatrix::gMapXYProcs[] = { |
| 1291 | SkMatrix::Identity_xy, SkMatrix::Trans_xy, |
| 1292 | SkMatrix::Scale_xy, SkMatrix::ScaleTrans_xy, |
| 1293 | SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, |
| 1294 | SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, |
| 1295 | // repeat the persp proc 8 times |
| 1296 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1297 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1298 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1299 | SkMatrix::Persp_xy, SkMatrix::Persp_xy |
| 1300 | }; |
| 1301 | |
| 1302 | /////////////////////////////////////////////////////////////////////////////// |
| 1303 | |
| 1304 | // if its nearly zero (just made up 26, perhaps it should be bigger or smaller) |
| 1305 | #ifdef SK_SCALAR_IS_FIXED |
| 1306 | typedef SkFract SkPerspElemType; |
| 1307 | #define PerspNearlyZero(x) (SkAbs32(x) < (SK_Fract1 >> 26)) |
| 1308 | #else |
| 1309 | typedef float SkPerspElemType; |
| 1310 | #define PerspNearlyZero(x) SkScalarNearlyZero(x, (1.0f / (1 << 26))) |
| 1311 | #endif |
| 1312 | |
| 1313 | bool SkMatrix::fixedStepInX(SkScalar y, SkFixed* stepX, SkFixed* stepY) const { |
| 1314 | if (PerspNearlyZero(fMat[kMPersp0])) { |
| 1315 | if (stepX || stepY) { |
| 1316 | if (PerspNearlyZero(fMat[kMPersp1]) && |
| 1317 | PerspNearlyZero(fMat[kMPersp2] - kMatrix22Elem)) { |
| 1318 | if (stepX) { |
| 1319 | *stepX = SkScalarToFixed(fMat[kMScaleX]); |
| 1320 | } |
| 1321 | if (stepY) { |
| 1322 | *stepY = SkScalarToFixed(fMat[kMSkewY]); |
| 1323 | } |
| 1324 | } else { |
| 1325 | #ifdef SK_SCALAR_IS_FIXED |
| 1326 | SkFixed z = SkFractMul(y, fMat[kMPersp1]) + |
| 1327 | SkFractToFixed(fMat[kMPersp2]); |
| 1328 | #else |
| 1329 | float z = y * fMat[kMPersp1] + fMat[kMPersp2]; |
| 1330 | #endif |
| 1331 | if (stepX) { |
| 1332 | *stepX = SkScalarToFixed(SkScalarDiv(fMat[kMScaleX], z)); |
| 1333 | } |
| 1334 | if (stepY) { |
| 1335 | *stepY = SkScalarToFixed(SkScalarDiv(fMat[kMSkewY], z)); |
| 1336 | } |
| 1337 | } |
| 1338 | } |
| 1339 | return true; |
| 1340 | } |
| 1341 | return false; |
| 1342 | } |
| 1343 | |
| 1344 | /////////////////////////////////////////////////////////////////////////////// |
| 1345 | |
| 1346 | #include "SkPerspIter.h" |
| 1347 | |
| 1348 | SkPerspIter::SkPerspIter(const SkMatrix& m, SkScalar x0, SkScalar y0, int count) |
| 1349 | : fMatrix(m), fSX(x0), fSY(y0), fCount(count) { |
| 1350 | SkPoint pt; |
| 1351 | |
| 1352 | SkMatrix::Persp_xy(m, x0, y0, &pt); |
| 1353 | fX = SkScalarToFixed(pt.fX); |
| 1354 | fY = SkScalarToFixed(pt.fY); |
| 1355 | } |
| 1356 | |
| 1357 | int SkPerspIter::next() { |
| 1358 | int n = fCount; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1359 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1360 | if (0 == n) { |
| 1361 | return 0; |
| 1362 | } |
| 1363 | SkPoint pt; |
| 1364 | SkFixed x = fX; |
| 1365 | SkFixed y = fY; |
| 1366 | SkFixed dx, dy; |
| 1367 | |
| 1368 | if (n >= kCount) { |
| 1369 | n = kCount; |
| 1370 | fSX += SkIntToScalar(kCount); |
| 1371 | SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); |
| 1372 | fX = SkScalarToFixed(pt.fX); |
| 1373 | fY = SkScalarToFixed(pt.fY); |
| 1374 | dx = (fX - x) >> kShift; |
| 1375 | dy = (fY - y) >> kShift; |
| 1376 | } else { |
| 1377 | fSX += SkIntToScalar(n); |
| 1378 | SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); |
| 1379 | fX = SkScalarToFixed(pt.fX); |
| 1380 | fY = SkScalarToFixed(pt.fY); |
| 1381 | dx = (fX - x) / n; |
| 1382 | dy = (fY - y) / n; |
| 1383 | } |
| 1384 | |
| 1385 | SkFixed* p = fStorage; |
| 1386 | for (int i = 0; i < n; i++) { |
| 1387 | *p++ = x; x += dx; |
| 1388 | *p++ = y; y += dy; |
| 1389 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1390 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1391 | fCount -= n; |
| 1392 | return n; |
| 1393 | } |
| 1394 | |
| 1395 | /////////////////////////////////////////////////////////////////////////////// |
| 1396 | |
| 1397 | #ifdef SK_SCALAR_IS_FIXED |
| 1398 | |
| 1399 | static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { |
| 1400 | SkFixed x = SK_Fixed1, y = SK_Fixed1; |
| 1401 | SkPoint pt1, pt2; |
| 1402 | Sk64 w1, w2; |
| 1403 | |
| 1404 | if (count > 1) { |
| 1405 | pt1.fX = poly[1].fX - poly[0].fX; |
| 1406 | pt1.fY = poly[1].fY - poly[0].fY; |
| 1407 | y = SkPoint::Length(pt1.fX, pt1.fY); |
| 1408 | if (y == 0) { |
| 1409 | return false; |
| 1410 | } |
| 1411 | switch (count) { |
| 1412 | case 2: |
| 1413 | break; |
| 1414 | case 3: |
| 1415 | pt2.fX = poly[0].fY - poly[2].fY; |
| 1416 | pt2.fY = poly[2].fX - poly[0].fX; |
| 1417 | goto CALC_X; |
| 1418 | default: |
| 1419 | pt2.fX = poly[0].fY - poly[3].fY; |
| 1420 | pt2.fY = poly[3].fX - poly[0].fX; |
| 1421 | CALC_X: |
| 1422 | w1.setMul(pt1.fX, pt2.fX); |
| 1423 | w2.setMul(pt1.fY, pt2.fY); |
| 1424 | w1.add(w2); |
| 1425 | w1.div(y, Sk64::kRound_DivOption); |
| 1426 | if (!w1.is32()) { |
| 1427 | return false; |
| 1428 | } |
| 1429 | x = w1.get32(); |
| 1430 | break; |
| 1431 | } |
| 1432 | } |
| 1433 | pt->set(x, y); |
| 1434 | return true; |
| 1435 | } |
| 1436 | |
| 1437 | bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1438 | const SkPoint& scalePt) { |
| 1439 | // need to check if SkFixedDiv overflows... |
| 1440 | |
| 1441 | const SkFixed scale = scalePt.fY; |
| 1442 | dst->fMat[kMScaleX] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale); |
| 1443 | dst->fMat[kMSkewY] = SkFixedDiv(srcPt[0].fX - srcPt[1].fX, scale); |
| 1444 | dst->fMat[kMPersp0] = 0; |
| 1445 | dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scale); |
| 1446 | dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale); |
| 1447 | dst->fMat[kMPersp1] = 0; |
| 1448 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1449 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1450 | dst->fMat[kMPersp2] = SK_Fract1; |
| 1451 | dst->setTypeMask(kUnknown_Mask); |
| 1452 | return true; |
| 1453 | } |
| 1454 | |
| 1455 | bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1456 | const SkPoint& scale) { |
| 1457 | // really, need to check if SkFixedDiv overflow'd |
| 1458 | |
| 1459 | dst->fMat[kMScaleX] = SkFixedDiv(srcPt[2].fX - srcPt[0].fX, scale.fX); |
| 1460 | dst->fMat[kMSkewY] = SkFixedDiv(srcPt[2].fY - srcPt[0].fY, scale.fX); |
| 1461 | dst->fMat[kMPersp0] = 0; |
| 1462 | dst->fMat[kMSkewX] = SkFixedDiv(srcPt[1].fX - srcPt[0].fX, scale.fY); |
| 1463 | dst->fMat[kMScaleY] = SkFixedDiv(srcPt[1].fY - srcPt[0].fY, scale.fY); |
| 1464 | dst->fMat[kMPersp1] = 0; |
| 1465 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1466 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1467 | dst->fMat[kMPersp2] = SK_Fract1; |
| 1468 | dst->setTypeMask(kUnknown_Mask); |
| 1469 | return true; |
| 1470 | } |
| 1471 | |
| 1472 | bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1473 | const SkPoint& scale) { |
| 1474 | SkFract a1, a2; |
| 1475 | SkFixed x0, y0, x1, y1, x2, y2; |
| 1476 | |
| 1477 | x0 = srcPt[2].fX - srcPt[0].fX; |
| 1478 | y0 = srcPt[2].fY - srcPt[0].fY; |
| 1479 | x1 = srcPt[2].fX - srcPt[1].fX; |
| 1480 | y1 = srcPt[2].fY - srcPt[1].fY; |
| 1481 | x2 = srcPt[2].fX - srcPt[3].fX; |
| 1482 | y2 = srcPt[2].fY - srcPt[3].fY; |
| 1483 | |
| 1484 | /* check if abs(x2) > abs(y2) */ |
| 1485 | if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { |
| 1486 | SkFixed denom = SkMulDiv(x1, y2, x2) - y1; |
| 1487 | if (0 == denom) { |
| 1488 | return false; |
| 1489 | } |
| 1490 | a1 = SkFractDiv(SkMulDiv(x0 - x1, y2, x2) - y0 + y1, denom); |
| 1491 | } else { |
| 1492 | SkFixed denom = x1 - SkMulDiv(y1, x2, y2); |
| 1493 | if (0 == denom) { |
| 1494 | return false; |
| 1495 | } |
| 1496 | a1 = SkFractDiv(x0 - x1 - SkMulDiv(y0 - y1, x2, y2), denom); |
| 1497 | } |
| 1498 | |
| 1499 | /* check if abs(x1) > abs(y1) */ |
| 1500 | if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { |
| 1501 | SkFixed denom = y2 - SkMulDiv(x2, y1, x1); |
| 1502 | if (0 == denom) { |
| 1503 | return false; |
| 1504 | } |
| 1505 | a2 = SkFractDiv(y0 - y2 - SkMulDiv(x0 - x2, y1, x1), denom); |
| 1506 | } else { |
| 1507 | SkFixed denom = SkMulDiv(y2, x1, y1) - x2; |
| 1508 | if (0 == denom) { |
| 1509 | return false; |
| 1510 | } |
| 1511 | a2 = SkFractDiv(SkMulDiv(y0 - y2, x1, y1) - x0 + x2, denom); |
| 1512 | } |
| 1513 | |
| 1514 | // need to check if SkFixedDiv overflows... |
| 1515 | dst->fMat[kMScaleX] = SkFixedDiv(SkFractMul(a2, srcPt[3].fX) + |
| 1516 | srcPt[3].fX - srcPt[0].fX, scale.fX); |
| 1517 | dst->fMat[kMSkewY] = SkFixedDiv(SkFractMul(a2, srcPt[3].fY) + |
| 1518 | srcPt[3].fY - srcPt[0].fY, scale.fX); |
| 1519 | dst->fMat[kMPersp0] = SkFixedDiv(a2, scale.fX); |
| 1520 | dst->fMat[kMSkewX] = SkFixedDiv(SkFractMul(a1, srcPt[1].fX) + |
| 1521 | srcPt[1].fX - srcPt[0].fX, scale.fY); |
| 1522 | dst->fMat[kMScaleY] = SkFixedDiv(SkFractMul(a1, srcPt[1].fY) + |
| 1523 | srcPt[1].fY - srcPt[0].fY, scale.fY); |
| 1524 | dst->fMat[kMPersp1] = SkFixedDiv(a1, scale.fY); |
| 1525 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1526 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1527 | dst->fMat[kMPersp2] = SK_Fract1; |
| 1528 | dst->setTypeMask(kUnknown_Mask); |
| 1529 | return true; |
| 1530 | } |
| 1531 | |
| 1532 | #else /* Scalar is float */ |
| 1533 | |
| 1534 | static inline bool checkForZero(float x) { |
| 1535 | return x*x == 0; |
| 1536 | } |
| 1537 | |
| 1538 | static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { |
| 1539 | float x = 1, y = 1; |
| 1540 | SkPoint pt1, pt2; |
| 1541 | |
| 1542 | if (count > 1) { |
| 1543 | pt1.fX = poly[1].fX - poly[0].fX; |
| 1544 | pt1.fY = poly[1].fY - poly[0].fY; |
| 1545 | y = SkPoint::Length(pt1.fX, pt1.fY); |
| 1546 | if (checkForZero(y)) { |
| 1547 | return false; |
| 1548 | } |
| 1549 | switch (count) { |
| 1550 | case 2: |
| 1551 | break; |
| 1552 | case 3: |
| 1553 | pt2.fX = poly[0].fY - poly[2].fY; |
| 1554 | pt2.fY = poly[2].fX - poly[0].fX; |
| 1555 | goto CALC_X; |
| 1556 | default: |
| 1557 | pt2.fX = poly[0].fY - poly[3].fY; |
| 1558 | pt2.fY = poly[3].fX - poly[0].fX; |
| 1559 | CALC_X: |
| 1560 | x = SkScalarDiv(SkScalarMul(pt1.fX, pt2.fX) + |
| 1561 | SkScalarMul(pt1.fY, pt2.fY), y); |
| 1562 | break; |
| 1563 | } |
| 1564 | } |
| 1565 | pt->set(x, y); |
| 1566 | return true; |
| 1567 | } |
| 1568 | |
| 1569 | bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1570 | const SkPoint& scale) { |
| 1571 | float invScale = 1 / scale.fY; |
| 1572 | |
| 1573 | dst->fMat[kMScaleX] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1574 | dst->fMat[kMSkewY] = (srcPt[0].fX - srcPt[1].fX) * invScale; |
| 1575 | dst->fMat[kMPersp0] = 0; |
| 1576 | dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1577 | dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1578 | dst->fMat[kMPersp1] = 0; |
| 1579 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1580 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1581 | dst->fMat[kMPersp2] = 1; |
| 1582 | dst->setTypeMask(kUnknown_Mask); |
| 1583 | return true; |
| 1584 | } |
| 1585 | |
| 1586 | bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1587 | const SkPoint& scale) { |
| 1588 | float invScale = 1 / scale.fX; |
| 1589 | dst->fMat[kMScaleX] = (srcPt[2].fX - srcPt[0].fX) * invScale; |
| 1590 | dst->fMat[kMSkewY] = (srcPt[2].fY - srcPt[0].fY) * invScale; |
| 1591 | dst->fMat[kMPersp0] = 0; |
| 1592 | |
| 1593 | invScale = 1 / scale.fY; |
| 1594 | dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1595 | dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1596 | dst->fMat[kMPersp1] = 0; |
| 1597 | |
| 1598 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1599 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1600 | dst->fMat[kMPersp2] = 1; |
| 1601 | dst->setTypeMask(kUnknown_Mask); |
| 1602 | return true; |
| 1603 | } |
| 1604 | |
| 1605 | bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1606 | const SkPoint& scale) { |
| 1607 | float a1, a2; |
| 1608 | float x0, y0, x1, y1, x2, y2; |
| 1609 | |
| 1610 | x0 = srcPt[2].fX - srcPt[0].fX; |
| 1611 | y0 = srcPt[2].fY - srcPt[0].fY; |
| 1612 | x1 = srcPt[2].fX - srcPt[1].fX; |
| 1613 | y1 = srcPt[2].fY - srcPt[1].fY; |
| 1614 | x2 = srcPt[2].fX - srcPt[3].fX; |
| 1615 | y2 = srcPt[2].fY - srcPt[3].fY; |
| 1616 | |
| 1617 | /* check if abs(x2) > abs(y2) */ |
| 1618 | if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { |
| 1619 | float denom = SkScalarMulDiv(x1, y2, x2) - y1; |
| 1620 | if (checkForZero(denom)) { |
| 1621 | return false; |
| 1622 | } |
| 1623 | a1 = SkScalarDiv(SkScalarMulDiv(x0 - x1, y2, x2) - y0 + y1, denom); |
| 1624 | } else { |
| 1625 | float denom = x1 - SkScalarMulDiv(y1, x2, y2); |
| 1626 | if (checkForZero(denom)) { |
| 1627 | return false; |
| 1628 | } |
| 1629 | a1 = SkScalarDiv(x0 - x1 - SkScalarMulDiv(y0 - y1, x2, y2), denom); |
| 1630 | } |
| 1631 | |
| 1632 | /* check if abs(x1) > abs(y1) */ |
| 1633 | if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { |
| 1634 | float denom = y2 - SkScalarMulDiv(x2, y1, x1); |
| 1635 | if (checkForZero(denom)) { |
| 1636 | return false; |
| 1637 | } |
| 1638 | a2 = SkScalarDiv(y0 - y2 - SkScalarMulDiv(x0 - x2, y1, x1), denom); |
| 1639 | } else { |
| 1640 | float denom = SkScalarMulDiv(y2, x1, y1) - x2; |
| 1641 | if (checkForZero(denom)) { |
| 1642 | return false; |
| 1643 | } |
| 1644 | a2 = SkScalarDiv(SkScalarMulDiv(y0 - y2, x1, y1) - x0 + x2, denom); |
| 1645 | } |
| 1646 | |
| 1647 | float invScale = 1 / scale.fX; |
| 1648 | dst->fMat[kMScaleX] = SkScalarMul(SkScalarMul(a2, srcPt[3].fX) + |
| 1649 | srcPt[3].fX - srcPt[0].fX, invScale); |
| 1650 | dst->fMat[kMSkewY] = SkScalarMul(SkScalarMul(a2, srcPt[3].fY) + |
| 1651 | srcPt[3].fY - srcPt[0].fY, invScale); |
| 1652 | dst->fMat[kMPersp0] = SkScalarMul(a2, invScale); |
| 1653 | invScale = 1 / scale.fY; |
| 1654 | dst->fMat[kMSkewX] = SkScalarMul(SkScalarMul(a1, srcPt[1].fX) + |
| 1655 | srcPt[1].fX - srcPt[0].fX, invScale); |
| 1656 | dst->fMat[kMScaleY] = SkScalarMul(SkScalarMul(a1, srcPt[1].fY) + |
| 1657 | srcPt[1].fY - srcPt[0].fY, invScale); |
| 1658 | dst->fMat[kMPersp1] = SkScalarMul(a1, invScale); |
| 1659 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1660 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1661 | dst->fMat[kMPersp2] = 1; |
| 1662 | dst->setTypeMask(kUnknown_Mask); |
| 1663 | return true; |
| 1664 | } |
| 1665 | |
| 1666 | #endif |
| 1667 | |
| 1668 | typedef bool (*PolyMapProc)(const SkPoint[], SkMatrix*, const SkPoint&); |
| 1669 | |
| 1670 | /* Taken from Rob Johnson's original sample code in QuickDraw GX |
| 1671 | */ |
| 1672 | bool SkMatrix::setPolyToPoly(const SkPoint src[], const SkPoint dst[], |
| 1673 | int count) { |
| 1674 | if ((unsigned)count > 4) { |
| 1675 | SkDebugf("--- SkMatrix::setPolyToPoly count out of range %d\n", count); |
| 1676 | return false; |
| 1677 | } |
| 1678 | |
| 1679 | if (0 == count) { |
| 1680 | this->reset(); |
| 1681 | return true; |
| 1682 | } |
| 1683 | if (1 == count) { |
| 1684 | this->setTranslate(dst[0].fX - src[0].fX, dst[0].fY - src[0].fY); |
| 1685 | return true; |
| 1686 | } |
| 1687 | |
| 1688 | SkPoint scale; |
| 1689 | if (!poly_to_point(&scale, src, count) || |
| 1690 | SkScalarNearlyZero(scale.fX) || |
| 1691 | SkScalarNearlyZero(scale.fY)) { |
| 1692 | return false; |
| 1693 | } |
| 1694 | |
| 1695 | static const PolyMapProc gPolyMapProcs[] = { |
| 1696 | SkMatrix::Poly2Proc, SkMatrix::Poly3Proc, SkMatrix::Poly4Proc |
| 1697 | }; |
| 1698 | PolyMapProc proc = gPolyMapProcs[count - 2]; |
| 1699 | |
| 1700 | SkMatrix tempMap, result; |
| 1701 | tempMap.setTypeMask(kUnknown_Mask); |
| 1702 | |
| 1703 | if (!proc(src, &tempMap, scale)) { |
| 1704 | return false; |
| 1705 | } |
| 1706 | if (!tempMap.invert(&result)) { |
| 1707 | return false; |
| 1708 | } |
| 1709 | if (!proc(dst, &tempMap, scale)) { |
| 1710 | return false; |
| 1711 | } |
| 1712 | if (!result.setConcat(tempMap, result)) { |
| 1713 | return false; |
| 1714 | } |
| 1715 | *this = result; |
| 1716 | return true; |
| 1717 | } |
| 1718 | |
| 1719 | /////////////////////////////////////////////////////////////////////////////// |
| 1720 | |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1721 | enum MinOrMax { |
| 1722 | kMin_MinOrMax, |
| 1723 | kMax_MinOrMax |
| 1724 | }; |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1725 | |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1726 | template <MinOrMax MIN_OR_MAX> SkScalar get_stretch_factor(SkMatrix::TypeMask typeMask, |
| 1727 | const SkScalar m[9]) { |
| 1728 | if (typeMask & SkMatrix::kPerspective_Mask) { |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1729 | return -SK_Scalar1; |
| 1730 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1731 | if (SkMatrix::kIdentity_Mask == typeMask) { |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1732 | return SK_Scalar1; |
| 1733 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1734 | if (!(typeMask & SkMatrix::kAffine_Mask)) { |
| 1735 | if (kMin_MinOrMax == MIN_OR_MAX) { |
| 1736 | return SkMinScalar(SkScalarAbs(m[SkMatrix::kMScaleX]), |
| 1737 | SkScalarAbs(m[SkMatrix::kMScaleY])); |
| 1738 | } else { |
| 1739 | return SkMaxScalar(SkScalarAbs(m[SkMatrix::kMScaleX]), |
| 1740 | SkScalarAbs(m[SkMatrix::kMScaleY])); |
| 1741 | } |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1742 | } |
| 1743 | // ignore the translation part of the matrix, just look at 2x2 portion. |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1744 | // compute singular values, take largest or smallest abs value. |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1745 | // [a b; b c] = A^T*A |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1746 | SkScalar a = SkScalarMul(m[SkMatrix::kMScaleX], m[SkMatrix::kMScaleX]) + |
| 1747 | SkScalarMul(m[SkMatrix::kMSkewY], m[SkMatrix::kMSkewY]); |
| 1748 | SkScalar b = SkScalarMul(m[SkMatrix::kMScaleX], m[SkMatrix::kMSkewX]) + |
| 1749 | SkScalarMul(m[SkMatrix::kMScaleY], m[SkMatrix::kMSkewY]); |
| 1750 | SkScalar c = SkScalarMul(m[SkMatrix::kMSkewX], m[SkMatrix::kMSkewX]) + |
| 1751 | SkScalarMul(m[SkMatrix::kMScaleY], m[SkMatrix::kMScaleY]); |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1752 | // eigenvalues of A^T*A are the squared singular values of A. |
| 1753 | // characteristic equation is det((A^T*A) - l*I) = 0 |
| 1754 | // l^2 - (a + c)l + (ac-b^2) |
| 1755 | // solve using quadratic equation (divisor is non-zero since l^2 has 1 coeff |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1756 | // and roots are guaranteed to be pos and real). |
| 1757 | SkScalar chosenRoot; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1758 | SkScalar bSqd = SkScalarMul(b,b); |
| 1759 | // if upper left 2x2 is orthogonal save some math |
jvanverth@google.com | c490f80 | 2013-03-04 13:56:38 +0000 | [diff] [blame] | 1760 | if (bSqd <= SK_ScalarNearlyZero*SK_ScalarNearlyZero) { |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1761 | if (kMin_MinOrMax == MIN_OR_MAX) { |
| 1762 | chosenRoot = SkMinScalar(a, c); |
| 1763 | } else { |
| 1764 | chosenRoot = SkMaxScalar(a, c); |
| 1765 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1766 | } else { |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1767 | SkScalar aminusc = a - c; |
| 1768 | SkScalar apluscdiv2 = SkScalarHalf(a + c); |
| 1769 | SkScalar x = SkScalarHalf(SkScalarSqrt(SkScalarMul(aminusc, aminusc) + 4 * bSqd)); |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1770 | if (kMin_MinOrMax == MIN_OR_MAX) { |
| 1771 | chosenRoot = apluscdiv2 - x; |
| 1772 | } else { |
| 1773 | chosenRoot = apluscdiv2 + x; |
| 1774 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1775 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1776 | SkASSERT(chosenRoot >= 0); |
| 1777 | return SkScalarSqrt(chosenRoot); |
| 1778 | } |
| 1779 | |
| 1780 | SkScalar SkMatrix::getMinStretch() const { |
| 1781 | return get_stretch_factor<kMin_MinOrMax>(this->getType(), fMat); |
| 1782 | } |
| 1783 | |
| 1784 | SkScalar SkMatrix::getMaxStretch() const { |
| 1785 | return get_stretch_factor<kMax_MinOrMax>(this->getType(), fMat); |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1786 | } |
| 1787 | |
commit-bot@chromium.org | 1f81fd6 | 2013-10-23 14:44:08 +0000 | [diff] [blame] | 1788 | static void reset_identity_matrix(SkMatrix* identity) { |
commit-bot@chromium.org | 21a705d | 2013-10-10 21:58:31 +0000 | [diff] [blame] | 1789 | identity->reset(); |
| 1790 | } |
| 1791 | |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1792 | const SkMatrix& SkMatrix::I() { |
commit-bot@chromium.org | 21a705d | 2013-10-10 21:58:31 +0000 | [diff] [blame] | 1793 | // If you can use C++11 now, you might consider replacing this with a constexpr constructor. |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1794 | static SkMatrix gIdentity; |
commit-bot@chromium.org | 1f81fd6 | 2013-10-23 14:44:08 +0000 | [diff] [blame] | 1795 | SK_DECLARE_STATIC_ONCE(once); |
| 1796 | SkOnce(&once, reset_identity_matrix, &gIdentity); |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1797 | return gIdentity; |
tomhudson@google.com | 1f90287 | 2012-06-01 13:15:47 +0000 | [diff] [blame] | 1798 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1799 | |
| 1800 | const SkMatrix& SkMatrix::InvalidMatrix() { |
| 1801 | static SkMatrix gInvalid; |
| 1802 | static bool gOnce; |
| 1803 | if (!gOnce) { |
| 1804 | gInvalid.setAll(SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, |
| 1805 | SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, |
| 1806 | SK_ScalarMax, SK_ScalarMax, SK_ScalarMax); |
| 1807 | gInvalid.getType(); // force the type to be computed |
| 1808 | gOnce = true; |
| 1809 | } |
| 1810 | return gInvalid; |
| 1811 | } |
| 1812 | |
| 1813 | /////////////////////////////////////////////////////////////////////////////// |
| 1814 | |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1815 | size_t SkMatrix::writeToMemory(void* buffer) const { |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1816 | // TODO write less for simple matrices |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1817 | static const size_t sizeInMemory = 9 * sizeof(SkScalar); |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1818 | if (buffer) { |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1819 | memcpy(buffer, fMat, sizeInMemory); |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1820 | } |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1821 | return sizeInMemory; |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1822 | } |
| 1823 | |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1824 | size_t SkMatrix::readFromMemory(const void* buffer, size_t length) { |
| 1825 | static const size_t sizeInMemory = 9 * sizeof(SkScalar); |
| 1826 | if (length < sizeInMemory) { |
| 1827 | return 0; |
| 1828 | } |
reed@android.com | f2b98d6 | 2010-12-20 18:26:13 +0000 | [diff] [blame] | 1829 | if (buffer) { |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1830 | memcpy(fMat, buffer, sizeInMemory); |
reed@android.com | f2b98d6 | 2010-12-20 18:26:13 +0000 | [diff] [blame] | 1831 | this->setTypeMask(kUnknown_Mask); |
| 1832 | } |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1833 | return sizeInMemory; |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1834 | } |
| 1835 | |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1836 | #ifdef SK_DEVELOPER |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1837 | void SkMatrix::dump() const { |
| 1838 | SkString str; |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1839 | this->toString(&str); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1840 | SkDebugf("%s\n", str.c_str()); |
| 1841 | } |
| 1842 | |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1843 | void SkMatrix::toString(SkString* str) const { |
| 1844 | 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] | 1845 | fMat[0], fMat[1], fMat[2], fMat[3], fMat[4], fMat[5], |
| 1846 | fMat[6], fMat[7], fMat[8]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1847 | } |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1848 | #endif |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1849 | |
| 1850 | /////////////////////////////////////////////////////////////////////////////// |
| 1851 | |
| 1852 | #include "SkMatrixUtils.h" |
| 1853 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1854 | bool SkTreatAsSprite(const SkMatrix& mat, int width, int height, |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1855 | unsigned subpixelBits) { |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1856 | // quick reject on affine or perspective |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1857 | if (mat.getType() & ~(SkMatrix::kScale_Mask | SkMatrix::kTranslate_Mask)) { |
| 1858 | return false; |
| 1859 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1860 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1861 | // quick success check |
| 1862 | if (!subpixelBits && !(mat.getType() & ~SkMatrix::kTranslate_Mask)) { |
| 1863 | return true; |
| 1864 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1865 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1866 | // mapRect supports negative scales, so we eliminate those first |
| 1867 | if (mat.getScaleX() < 0 || mat.getScaleY() < 0) { |
| 1868 | return false; |
| 1869 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1870 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1871 | SkRect dst; |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1872 | SkIRect isrc = { 0, 0, width, height }; |
skia.committer@gmail.com | d9f65e3 | 2013-01-04 12:07:46 +0000 | [diff] [blame] | 1873 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1874 | { |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1875 | SkRect src; |
| 1876 | src.set(isrc); |
| 1877 | mat.mapRect(&dst, src); |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1878 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1879 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1880 | // just apply the translate to isrc |
| 1881 | isrc.offset(SkScalarRoundToInt(mat.getTranslateX()), |
| 1882 | SkScalarRoundToInt(mat.getTranslateY())); |
| 1883 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1884 | if (subpixelBits) { |
| 1885 | isrc.fLeft <<= subpixelBits; |
| 1886 | isrc.fTop <<= subpixelBits; |
| 1887 | isrc.fRight <<= subpixelBits; |
| 1888 | isrc.fBottom <<= subpixelBits; |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1889 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1890 | const float scale = 1 << subpixelBits; |
| 1891 | dst.fLeft *= scale; |
| 1892 | dst.fTop *= scale; |
| 1893 | dst.fRight *= scale; |
| 1894 | dst.fBottom *= scale; |
| 1895 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1896 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1897 | SkIRect idst; |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1898 | dst.round(&idst); |
| 1899 | return isrc == idst; |
| 1900 | } |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1901 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1902 | // A square matrix M can be decomposed (via polar decomposition) into two matrices -- |
| 1903 | // an orthogonal matrix Q and a symmetric matrix S. In turn we can decompose S into U*W*U^T, |
| 1904 | // where U is another orthogonal matrix and W is a scale matrix. These can be recombined |
| 1905 | // to give M = (Q*U)*W*U^T, i.e., the product of two orthogonal matrices and a scale matrix. |
| 1906 | // |
| 1907 | // The one wrinkle is that traditionally Q may contain a reflection -- the |
| 1908 | // calculation has been rejiggered to put that reflection into W. |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1909 | bool SkDecomposeUpper2x2(const SkMatrix& matrix, |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1910 | SkPoint* rotation1, |
| 1911 | SkPoint* scale, |
| 1912 | SkPoint* rotation2) { |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1913 | |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1914 | SkScalar A = matrix[SkMatrix::kMScaleX]; |
| 1915 | SkScalar B = matrix[SkMatrix::kMSkewX]; |
| 1916 | SkScalar C = matrix[SkMatrix::kMSkewY]; |
| 1917 | SkScalar D = matrix[SkMatrix::kMScaleY]; |
| 1918 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 1919 | if (is_degenerate_2x2(A, B, C, D)) { |
| 1920 | return false; |
| 1921 | } |
| 1922 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1923 | double w1, w2; |
| 1924 | SkScalar cos1, sin1; |
| 1925 | SkScalar cos2, sin2; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1926 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1927 | // do polar decomposition (M = Q*S) |
| 1928 | SkScalar cosQ, sinQ; |
| 1929 | double Sa, Sb, Sd; |
| 1930 | // if M is already symmetric (i.e., M = I*S) |
| 1931 | if (SkScalarNearlyEqual(B, C)) { |
| 1932 | cosQ = SK_Scalar1; |
| 1933 | sinQ = 0; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1934 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1935 | Sa = A; |
| 1936 | Sb = B; |
| 1937 | Sd = D; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1938 | } else { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1939 | cosQ = A + D; |
| 1940 | sinQ = C - B; |
| 1941 | SkScalar reciplen = SK_Scalar1/SkScalarSqrt(cosQ*cosQ + sinQ*sinQ); |
| 1942 | cosQ *= reciplen; |
| 1943 | sinQ *= reciplen; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1944 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1945 | // S = Q^-1*M |
| 1946 | // we don't calc Sc since it's symmetric |
| 1947 | Sa = A*cosQ + C*sinQ; |
| 1948 | Sb = B*cosQ + D*sinQ; |
| 1949 | Sd = -B*sinQ + D*cosQ; |
| 1950 | } |
skia.committer@gmail.com | 5c561cb | 2013-07-25 07:01:00 +0000 | [diff] [blame] | 1951 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1952 | // Now we need to compute eigenvalues of S (our scale factors) |
| 1953 | // and eigenvectors (bases for our rotation) |
| 1954 | // From this, should be able to reconstruct S as U*W*U^T |
jvanverth@google.com | 25f72ed | 2013-09-03 19:46:16 +0000 | [diff] [blame] | 1955 | if (SkScalarNearlyZero(SkDoubleToScalar(Sb))) { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1956 | // already diagonalized |
| 1957 | cos1 = SK_Scalar1; |
| 1958 | sin1 = 0; |
| 1959 | w1 = Sa; |
| 1960 | w2 = Sd; |
| 1961 | cos2 = cosQ; |
| 1962 | sin2 = sinQ; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1963 | } else { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1964 | double diff = Sa - Sd; |
| 1965 | double discriminant = sqrt(diff*diff + 4.0*Sb*Sb); |
| 1966 | double trace = Sa + Sd; |
| 1967 | if (diff > 0) { |
| 1968 | w1 = 0.5*(trace + discriminant); |
| 1969 | w2 = 0.5*(trace - discriminant); |
| 1970 | } else { |
| 1971 | w1 = 0.5*(trace - discriminant); |
| 1972 | w2 = 0.5*(trace + discriminant); |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1973 | } |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1974 | |
jvanverth@google.com | 25f72ed | 2013-09-03 19:46:16 +0000 | [diff] [blame] | 1975 | cos1 = SkDoubleToScalar(Sb); sin1 = SkDoubleToScalar(w1 - Sa); |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1976 | SkScalar reciplen = SK_Scalar1/SkScalarSqrt(cos1*cos1 + sin1*sin1); |
| 1977 | cos1 *= reciplen; |
| 1978 | sin1 *= reciplen; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1979 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1980 | // rotation 2 is composition of Q and U |
| 1981 | cos2 = cos1*cosQ - sin1*sinQ; |
| 1982 | sin2 = sin1*cosQ + cos1*sinQ; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1983 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1984 | // rotation 1 is U^T |
| 1985 | sin1 = -sin1; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1986 | } |
| 1987 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1988 | if (NULL != scale) { |
jvanverth@google.com | 25f72ed | 2013-09-03 19:46:16 +0000 | [diff] [blame] | 1989 | scale->fX = SkDoubleToScalar(w1); |
| 1990 | scale->fY = SkDoubleToScalar(w2); |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1991 | } |
| 1992 | if (NULL != rotation1) { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1993 | rotation1->fX = cos1; |
| 1994 | rotation1->fY = sin1; |
| 1995 | } |
| 1996 | if (NULL != rotation2) { |
| 1997 | rotation2->fX = cos2; |
| 1998 | rotation2->fY = sin2; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1999 | } |
| 2000 | |
| 2001 | return true; |
| 2002 | } |