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" |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 9 | #include "SkFloatBits.h" |
| 10 | #include "SkString.h" |
| 11 | |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 12 | #include <stddef.h> |
| 13 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 14 | // In a few places, we performed the following |
| 15 | // a * b + c * d + e |
| 16 | // as |
| 17 | // a * b + (c * d + e) |
| 18 | // |
| 19 | // sdot and scross are indended to capture these compound operations into a |
| 20 | // function, with an eye toward considering upscaling the intermediates to |
| 21 | // doubles for more precision (as we do in concat and invert). |
| 22 | // |
| 23 | // However, these few lines that performed the last add before the "dot", cause |
| 24 | // tiny image differences, so we guard that change until we see the impact on |
| 25 | // chrome's layouttests. |
| 26 | // |
| 27 | #define SK_LEGACY_MATRIX_MATH_ORDER |
reed@android.com | ab7ac02 | 2009-09-18 13:38:43 +0000 | [diff] [blame] | 28 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 29 | static inline float SkDoubleToFloat(double x) { |
| 30 | return static_cast<float>(x); |
| 31 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 32 | |
| 33 | /* [scale-x skew-x trans-x] [X] [X'] |
| 34 | [skew-y scale-y trans-y] * [Y] = [Y'] |
| 35 | [persp-0 persp-1 persp-2] [1] [1 ] |
| 36 | */ |
| 37 | |
| 38 | void SkMatrix::reset() { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 39 | fMat[kMScaleX] = fMat[kMScaleY] = fMat[kMPersp2] = 1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 40 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 41 | fMat[kMTransX] = fMat[kMTransY] = |
| 42 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 43 | |
| 44 | this->setTypeMask(kIdentity_Mask | kRectStaysRect_Mask); |
| 45 | } |
| 46 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 47 | // this guy aligns with the masks, so we can compute a mask from a varaible 0/1 |
| 48 | enum { |
| 49 | kTranslate_Shift, |
| 50 | kScale_Shift, |
| 51 | kAffine_Shift, |
| 52 | kPerspective_Shift, |
| 53 | kRectStaysRect_Shift |
| 54 | }; |
| 55 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 56 | static const int32_t kScalar1Int = 0x3f800000; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 57 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 58 | uint8_t SkMatrix::computePerspectiveTypeMask() const { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 59 | // Benchmarking suggests that replacing this set of SkScalarAs2sCompliment |
| 60 | // is a win, but replacing those below is not. We don't yet understand |
| 61 | // that result. |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 62 | if (fMat[kMPersp0] != 0 || fMat[kMPersp1] != 0 || fMat[kMPersp2] != 1) { |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 63 | // 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] | 64 | // transform flags - this does not disable any optimizations, respects |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 65 | // 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] | 66 | // type mask computation. |
| 67 | return SkToU8(kORableMasks); |
| 68 | } |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 69 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 70 | return SkToU8(kOnlyPerspectiveValid_Mask | kUnknown_Mask); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 71 | } |
| 72 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 73 | uint8_t SkMatrix::computeTypeMask() const { |
| 74 | unsigned mask = 0; |
| 75 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 76 | if (fMat[kMPersp0] != 0 || fMat[kMPersp1] != 0 || fMat[kMPersp2] != 1) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 77 | // Once it is determined that that this is a perspective transform, |
| 78 | // all other flags are moot as far as optimizations are concerned. |
| 79 | return SkToU8(kORableMasks); |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 80 | } |
| 81 | |
| 82 | if (fMat[kMTransX] != 0 || fMat[kMTransY] != 0) { |
| 83 | mask |= kTranslate_Mask; |
| 84 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 85 | |
| 86 | int m00 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleX]); |
| 87 | int m01 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewX]); |
| 88 | int m10 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewY]); |
| 89 | int m11 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleY]); |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 90 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 91 | if (m01 | m10) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 92 | // The skew components may be scale-inducing, unless we are dealing |
| 93 | // with a pure rotation. Testing for a pure rotation is expensive, |
| 94 | // so we opt for being conservative by always setting the scale bit. |
| 95 | // along with affine. |
| 96 | // By doing this, we are also ensuring that matrices have the same |
| 97 | // type masks as their inverses. |
| 98 | mask |= kAffine_Mask | kScale_Mask; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 99 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 100 | // For rectStaysRect, in the affine case, we only need check that |
| 101 | // the primary diagonal is all zeros and that the secondary diagonal |
| 102 | // is all non-zero. |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 103 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 104 | // map non-zero to 1 |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 105 | m01 = m01 != 0; |
| 106 | m10 = m10 != 0; |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 107 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 108 | int dp0 = 0 == (m00 | m11) ; // true if both are 0 |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 109 | int ds1 = m01 & m10; // true if both are 1 |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 110 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 111 | mask |= (dp0 & ds1) << kRectStaysRect_Shift; |
| 112 | } else { |
| 113 | // Only test for scale explicitly if not affine, since affine sets the |
| 114 | // scale bit. |
| 115 | if ((m00 - kScalar1Int) | (m11 - kScalar1Int)) { |
| 116 | mask |= kScale_Mask; |
| 117 | } |
| 118 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 119 | // Not affine, therefore we already know secondary diagonal is |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 120 | // all zeros, so we just need to check that primary diagonal is |
| 121 | // all non-zero. |
| 122 | |
| 123 | // map non-zero to 1 |
| 124 | m00 = m00 != 0; |
| 125 | m11 = m11 != 0; |
| 126 | |
| 127 | // record if the (p)rimary diagonal is all non-zero |
| 128 | mask |= (m00 & m11) << kRectStaysRect_Shift; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 129 | } |
| 130 | |
| 131 | return SkToU8(mask); |
| 132 | } |
| 133 | |
| 134 | /////////////////////////////////////////////////////////////////////////////// |
| 135 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 136 | bool operator==(const SkMatrix& a, const SkMatrix& b) { |
| 137 | const SkScalar* SK_RESTRICT ma = a.fMat; |
| 138 | const SkScalar* SK_RESTRICT mb = b.fMat; |
| 139 | |
| 140 | return ma[0] == mb[0] && ma[1] == mb[1] && ma[2] == mb[2] && |
| 141 | ma[3] == mb[3] && ma[4] == mb[4] && ma[5] == mb[5] && |
| 142 | ma[6] == mb[6] && ma[7] == mb[7] && ma[8] == mb[8]; |
| 143 | } |
| 144 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 145 | /////////////////////////////////////////////////////////////////////////////// |
| 146 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 147 | // 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] | 148 | static inline bool is_degenerate_2x2(SkScalar scaleX, SkScalar skewX, |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 149 | SkScalar skewY, SkScalar scaleY) { |
| 150 | SkScalar perp_dot = scaleX*scaleY - skewX*skewY; |
| 151 | return SkScalarNearlyZero(perp_dot, SK_ScalarNearlyZero*SK_ScalarNearlyZero); |
| 152 | } |
| 153 | |
| 154 | /////////////////////////////////////////////////////////////////////////////// |
| 155 | |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 156 | bool SkMatrix::isSimilarity(SkScalar tol) const { |
| 157 | // if identity or translate matrix |
| 158 | TypeMask mask = this->getType(); |
| 159 | if (mask <= kTranslate_Mask) { |
| 160 | return true; |
| 161 | } |
| 162 | if (mask & kPerspective_Mask) { |
| 163 | return false; |
| 164 | } |
| 165 | |
| 166 | SkScalar mx = fMat[kMScaleX]; |
| 167 | SkScalar my = fMat[kMScaleY]; |
| 168 | // if no skew, can just compare scale factors |
| 169 | if (!(mask & kAffine_Mask)) { |
| 170 | return !SkScalarNearlyZero(mx) && SkScalarNearlyEqual(SkScalarAbs(mx), SkScalarAbs(my)); |
| 171 | } |
| 172 | SkScalar sx = fMat[kMSkewX]; |
| 173 | SkScalar sy = fMat[kMSkewY]; |
| 174 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 175 | if (is_degenerate_2x2(mx, sx, sy, my)) { |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 176 | return false; |
| 177 | } |
| 178 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 179 | // upper 2x2 is rotation/reflection + uniform scale if basis vectors |
| 180 | // are 90 degree rotations of each other |
| 181 | return (SkScalarNearlyEqual(mx, my, tol) && SkScalarNearlyEqual(sx, -sy, tol)) |
| 182 | || (SkScalarNearlyEqual(mx, -my, tol) && SkScalarNearlyEqual(sx, sy, tol)); |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 183 | } |
| 184 | |
| 185 | bool SkMatrix::preservesRightAngles(SkScalar tol) const { |
| 186 | TypeMask mask = this->getType(); |
skia.committer@gmail.com | 07d3a65 | 2013-04-10 07:01:15 +0000 | [diff] [blame] | 187 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 188 | if (mask <= kTranslate_Mask) { |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 189 | // identity, translate and/or scale |
| 190 | return true; |
| 191 | } |
| 192 | if (mask & kPerspective_Mask) { |
| 193 | return false; |
| 194 | } |
| 195 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 196 | SkASSERT(mask & (kAffine_Mask | kScale_Mask)); |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 197 | |
| 198 | SkScalar mx = fMat[kMScaleX]; |
| 199 | SkScalar my = fMat[kMScaleY]; |
| 200 | SkScalar sx = fMat[kMSkewX]; |
| 201 | SkScalar sy = fMat[kMSkewY]; |
| 202 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 203 | if (is_degenerate_2x2(mx, sx, sy, my)) { |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 204 | return false; |
| 205 | } |
| 206 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 207 | // upper 2x2 is scale + rotation/reflection if basis vectors are orthogonal |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 208 | SkVector vec[2]; |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 209 | vec[0].set(mx, sy); |
| 210 | vec[1].set(sx, my); |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 211 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 212 | return SkScalarNearlyZero(vec[0].dot(vec[1]), SkScalarSquare(tol)); |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 213 | } |
| 214 | |
| 215 | /////////////////////////////////////////////////////////////////////////////// |
| 216 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 217 | static inline SkScalar sdot(SkScalar a, SkScalar b, SkScalar c, SkScalar d) { |
| 218 | return a * b + c * d; |
| 219 | } |
| 220 | |
| 221 | static inline SkScalar sdot(SkScalar a, SkScalar b, SkScalar c, SkScalar d, |
| 222 | SkScalar e, SkScalar f) { |
| 223 | return a * b + c * d + e * f; |
| 224 | } |
| 225 | |
| 226 | static inline SkScalar scross(SkScalar a, SkScalar b, SkScalar c, SkScalar d) { |
| 227 | return a * b - c * d; |
| 228 | } |
| 229 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 230 | void SkMatrix::setTranslate(SkScalar dx, SkScalar dy) { |
reed@google.com | c0784db | 2013-12-13 21:16:12 +0000 | [diff] [blame] | 231 | if (dx || dy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 232 | fMat[kMTransX] = dx; |
| 233 | fMat[kMTransY] = dy; |
| 234 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 235 | fMat[kMScaleX] = fMat[kMScaleY] = fMat[kMPersp2] = 1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 236 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 237 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 238 | |
| 239 | this->setTypeMask(kTranslate_Mask | kRectStaysRect_Mask); |
| 240 | } else { |
| 241 | this->reset(); |
| 242 | } |
| 243 | } |
| 244 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 245 | void SkMatrix::preTranslate(SkScalar dx, SkScalar dy) { |
| 246 | if (!dx && !dy) { |
| 247 | return; |
| 248 | } |
| 249 | |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 250 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 251 | SkMatrix m; |
| 252 | m.setTranslate(dx, dy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 253 | this->preConcat(m); |
| 254 | } else { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 255 | fMat[kMTransX] += sdot(fMat[kMScaleX], dx, fMat[kMSkewX], dy); |
| 256 | fMat[kMTransY] += sdot(fMat[kMSkewY], dx, fMat[kMScaleY], 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 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 259 | } |
| 260 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 261 | void SkMatrix::postTranslate(SkScalar dx, SkScalar dy) { |
| 262 | if (!dx && !dy) { |
| 263 | return; |
| 264 | } |
| 265 | |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 266 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 267 | SkMatrix m; |
| 268 | m.setTranslate(dx, dy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 269 | this->postConcat(m); |
| 270 | } else { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 271 | fMat[kMTransX] += dx; |
| 272 | fMat[kMTransY] += dy; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 273 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 274 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 275 | } |
| 276 | |
| 277 | /////////////////////////////////////////////////////////////////////////////// |
| 278 | |
| 279 | void SkMatrix::setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 280 | if (1 == sx && 1 == sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 281 | this->reset(); |
| 282 | } else { |
| 283 | fMat[kMScaleX] = sx; |
| 284 | fMat[kMScaleY] = sy; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 285 | fMat[kMTransX] = px - sx * px; |
| 286 | fMat[kMTransY] = py - sy * py; |
| 287 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 288 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 289 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 290 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 291 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 292 | this->setTypeMask(kScale_Mask | kTranslate_Mask | kRectStaysRect_Mask); |
| 293 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 294 | } |
| 295 | |
| 296 | void SkMatrix::setScale(SkScalar sx, SkScalar sy) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 297 | if (1 == sx && 1 == sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 298 | this->reset(); |
| 299 | } else { |
| 300 | fMat[kMScaleX] = sx; |
| 301 | fMat[kMScaleY] = sy; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 302 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 303 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 304 | fMat[kMTransX] = fMat[kMTransY] = |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 305 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 306 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 307 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 308 | this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); |
| 309 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 310 | } |
| 311 | |
bsalomon@google.com | 5c63865 | 2011-07-18 19:31:59 +0000 | [diff] [blame] | 312 | bool SkMatrix::setIDiv(int divx, int divy) { |
| 313 | if (!divx || !divy) { |
| 314 | return false; |
| 315 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 316 | this->setScale(SkScalarInvert(divx), SkScalarInvert(divy)); |
bsalomon@google.com | 5c63865 | 2011-07-18 19:31:59 +0000 | [diff] [blame] | 317 | return true; |
| 318 | } |
| 319 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 320 | void SkMatrix::preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 321 | if (1 == sx && 1 == sy) { |
| 322 | return; |
| 323 | } |
| 324 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 325 | SkMatrix m; |
| 326 | m.setScale(sx, sy, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 327 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 328 | } |
| 329 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 330 | void SkMatrix::preScale(SkScalar sx, SkScalar sy) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 331 | if (1 == sx && 1 == sy) { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 332 | return; |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 333 | } |
| 334 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 335 | // the assumption is that these multiplies are very cheap, and that |
| 336 | // a full concat and/or just computing the matrix type is more expensive. |
| 337 | // Also, the fixed-point case checks for overflow, but the float doesn't, |
| 338 | // so we can get away with these blind multiplies. |
| 339 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 340 | fMat[kMScaleX] *= sx; |
| 341 | fMat[kMSkewY] *= sx; |
| 342 | fMat[kMPersp0] *= sx; |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 343 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 344 | fMat[kMSkewX] *= sy; |
| 345 | fMat[kMScaleY] *= sy; |
| 346 | fMat[kMPersp1] *= sy; |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 347 | |
| 348 | this->orTypeMask(kScale_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 349 | } |
| 350 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 351 | void SkMatrix::postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 352 | if (1 == sx && 1 == sy) { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 353 | return; |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 354 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 355 | SkMatrix m; |
| 356 | m.setScale(sx, sy, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 357 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 358 | } |
| 359 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 360 | void SkMatrix::postScale(SkScalar sx, SkScalar sy) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 361 | if (1 == sx && 1 == sy) { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 362 | return; |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 363 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 364 | SkMatrix m; |
| 365 | m.setScale(sx, sy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 366 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 367 | } |
| 368 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 369 | // this guy perhaps can go away, if we have a fract/high-precision way to |
| 370 | // scale matrices |
| 371 | bool SkMatrix::postIDiv(int divx, int divy) { |
| 372 | if (divx == 0 || divy == 0) { |
| 373 | return false; |
| 374 | } |
| 375 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 376 | const float invX = 1.f / divx; |
| 377 | const float invY = 1.f / divy; |
| 378 | |
| 379 | fMat[kMScaleX] *= invX; |
| 380 | fMat[kMSkewX] *= invX; |
| 381 | fMat[kMTransX] *= invX; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 382 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 383 | fMat[kMScaleY] *= invY; |
| 384 | fMat[kMSkewY] *= invY; |
| 385 | fMat[kMTransY] *= invY; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 386 | |
| 387 | this->setTypeMask(kUnknown_Mask); |
| 388 | return true; |
| 389 | } |
| 390 | |
| 391 | //////////////////////////////////////////////////////////////////////////////////// |
| 392 | |
| 393 | void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV, |
| 394 | SkScalar px, SkScalar py) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 395 | const SkScalar oneMinusCosV = 1 - cosV; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 396 | |
| 397 | fMat[kMScaleX] = cosV; |
| 398 | fMat[kMSkewX] = -sinV; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 399 | fMat[kMTransX] = sdot(sinV, py, oneMinusCosV, px); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 400 | |
| 401 | fMat[kMSkewY] = sinV; |
| 402 | fMat[kMScaleY] = cosV; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 403 | fMat[kMTransY] = sdot(-sinV, px, oneMinusCosV, py); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 404 | |
| 405 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 406 | fMat[kMPersp2] = 1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 407 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 408 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 409 | } |
| 410 | |
| 411 | void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV) { |
| 412 | fMat[kMScaleX] = cosV; |
| 413 | fMat[kMSkewX] = -sinV; |
| 414 | fMat[kMTransX] = 0; |
| 415 | |
| 416 | fMat[kMSkewY] = sinV; |
| 417 | fMat[kMScaleY] = cosV; |
| 418 | fMat[kMTransY] = 0; |
| 419 | |
| 420 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 421 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 422 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 423 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 424 | } |
| 425 | |
| 426 | void SkMatrix::setRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
| 427 | SkScalar sinV, cosV; |
| 428 | sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); |
| 429 | this->setSinCos(sinV, cosV, px, py); |
| 430 | } |
| 431 | |
| 432 | void SkMatrix::setRotate(SkScalar degrees) { |
| 433 | SkScalar sinV, cosV; |
| 434 | sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); |
| 435 | this->setSinCos(sinV, cosV); |
| 436 | } |
| 437 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 438 | void SkMatrix::preRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 439 | SkMatrix m; |
| 440 | m.setRotate(degrees, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 441 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 442 | } |
| 443 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 444 | void SkMatrix::preRotate(SkScalar degrees) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 445 | SkMatrix m; |
| 446 | m.setRotate(degrees); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 447 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 448 | } |
| 449 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 450 | void SkMatrix::postRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 451 | SkMatrix m; |
| 452 | m.setRotate(degrees, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 453 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 454 | } |
| 455 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 456 | void SkMatrix::postRotate(SkScalar degrees) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 457 | SkMatrix m; |
| 458 | m.setRotate(degrees); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 459 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 460 | } |
| 461 | |
| 462 | //////////////////////////////////////////////////////////////////////////////////// |
| 463 | |
| 464 | void SkMatrix::setSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 465 | fMat[kMScaleX] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 466 | fMat[kMSkewX] = sx; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 467 | fMat[kMTransX] = -sx * py; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 468 | |
| 469 | fMat[kMSkewY] = sy; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 470 | fMat[kMScaleY] = 1; |
| 471 | fMat[kMTransY] = -sy * px; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 472 | |
| 473 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 474 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 475 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 476 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 477 | } |
| 478 | |
| 479 | void SkMatrix::setSkew(SkScalar sx, SkScalar sy) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 480 | fMat[kMScaleX] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 481 | fMat[kMSkewX] = sx; |
| 482 | fMat[kMTransX] = 0; |
| 483 | |
| 484 | fMat[kMSkewY] = sy; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 485 | fMat[kMScaleY] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 486 | fMat[kMTransY] = 0; |
| 487 | |
| 488 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 489 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 490 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 491 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 492 | } |
| 493 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 494 | void SkMatrix::preSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 495 | SkMatrix m; |
| 496 | m.setSkew(sx, sy, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 497 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 498 | } |
| 499 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 500 | void SkMatrix::preSkew(SkScalar sx, SkScalar sy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 501 | SkMatrix m; |
| 502 | m.setSkew(sx, sy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 503 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 504 | } |
| 505 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 506 | void SkMatrix::postSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 507 | SkMatrix m; |
| 508 | m.setSkew(sx, sy, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 509 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 510 | } |
| 511 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 512 | void SkMatrix::postSkew(SkScalar sx, SkScalar sy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 513 | SkMatrix m; |
| 514 | m.setSkew(sx, sy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 515 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 516 | } |
| 517 | |
| 518 | /////////////////////////////////////////////////////////////////////////////// |
| 519 | |
| 520 | bool SkMatrix::setRectToRect(const SkRect& src, const SkRect& dst, |
| 521 | ScaleToFit align) |
| 522 | { |
| 523 | if (src.isEmpty()) { |
| 524 | this->reset(); |
| 525 | return false; |
| 526 | } |
| 527 | |
| 528 | if (dst.isEmpty()) { |
reed@android.com | 4516f47 | 2009-06-29 16:25:36 +0000 | [diff] [blame] | 529 | sk_bzero(fMat, 8 * sizeof(SkScalar)); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 530 | this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); |
| 531 | } else { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 532 | SkScalar tx, sx = dst.width() / src.width(); |
| 533 | SkScalar ty, sy = dst.height() / src.height(); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 534 | bool xLarger = false; |
| 535 | |
| 536 | if (align != kFill_ScaleToFit) { |
| 537 | if (sx > sy) { |
| 538 | xLarger = true; |
| 539 | sx = sy; |
| 540 | } else { |
| 541 | sy = sx; |
| 542 | } |
| 543 | } |
| 544 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 545 | tx = dst.fLeft - src.fLeft * sx; |
| 546 | ty = dst.fTop - src.fTop * sy; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 547 | if (align == kCenter_ScaleToFit || align == kEnd_ScaleToFit) { |
| 548 | SkScalar diff; |
| 549 | |
| 550 | if (xLarger) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 551 | diff = dst.width() - src.width() * sy; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 552 | } else { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 553 | diff = dst.height() - src.height() * sy; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 554 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 555 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 556 | if (align == kCenter_ScaleToFit) { |
| 557 | diff = SkScalarHalf(diff); |
| 558 | } |
| 559 | |
| 560 | if (xLarger) { |
| 561 | tx += diff; |
| 562 | } else { |
| 563 | ty += diff; |
| 564 | } |
| 565 | } |
| 566 | |
| 567 | fMat[kMScaleX] = sx; |
| 568 | fMat[kMScaleY] = sy; |
| 569 | fMat[kMTransX] = tx; |
| 570 | fMat[kMTransY] = ty; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 571 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 572 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 573 | |
reed@google.com | 97cd69c | 2012-10-12 14:35:48 +0000 | [diff] [blame] | 574 | unsigned mask = kRectStaysRect_Mask; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 575 | if (sx != 1 || sy != 1) { |
reed@google.com | 97cd69c | 2012-10-12 14:35:48 +0000 | [diff] [blame] | 576 | mask |= kScale_Mask; |
| 577 | } |
| 578 | if (tx || ty) { |
| 579 | mask |= kTranslate_Mask; |
| 580 | } |
| 581 | this->setTypeMask(mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 582 | } |
| 583 | // shared cleanup |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 584 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 585 | return true; |
| 586 | } |
| 587 | |
| 588 | /////////////////////////////////////////////////////////////////////////////// |
| 589 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 590 | static inline float muladdmul(float a, float b, float c, float d) { |
| 591 | return SkDoubleToFloat((double)a * b + (double)c * d); |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 592 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 593 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 594 | static inline float rowcol3(const float row[], const float col[]) { |
| 595 | return row[0] * col[0] + row[1] * col[3] + row[2] * col[6]; |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 596 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 597 | |
| 598 | static void normalize_perspective(SkScalar mat[9]) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 599 | if (SkScalarAbs(mat[SkMatrix::kMPersp2]) > 1) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 600 | for (int i = 0; i < 9; i++) |
| 601 | mat[i] = SkScalarHalf(mat[i]); |
| 602 | } |
| 603 | } |
| 604 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 605 | void SkMatrix::setConcat(const SkMatrix& a, const SkMatrix& b) { |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 606 | TypeMask aType = a.getPerspectiveTypeMaskOnly(); |
| 607 | TypeMask bType = b.getPerspectiveTypeMaskOnly(); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 608 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 609 | if (a.isTriviallyIdentity()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 610 | *this = b; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 611 | } else if (b.isTriviallyIdentity()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 612 | *this = a; |
| 613 | } else { |
| 614 | SkMatrix tmp; |
| 615 | |
| 616 | if ((aType | bType) & kPerspective_Mask) { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 617 | tmp.fMat[kMScaleX] = rowcol3(&a.fMat[0], &b.fMat[0]); |
| 618 | tmp.fMat[kMSkewX] = rowcol3(&a.fMat[0], &b.fMat[1]); |
| 619 | tmp.fMat[kMTransX] = rowcol3(&a.fMat[0], &b.fMat[2]); |
| 620 | tmp.fMat[kMSkewY] = rowcol3(&a.fMat[3], &b.fMat[0]); |
| 621 | tmp.fMat[kMScaleY] = rowcol3(&a.fMat[3], &b.fMat[1]); |
| 622 | tmp.fMat[kMTransY] = rowcol3(&a.fMat[3], &b.fMat[2]); |
| 623 | tmp.fMat[kMPersp0] = rowcol3(&a.fMat[6], &b.fMat[0]); |
| 624 | tmp.fMat[kMPersp1] = rowcol3(&a.fMat[6], &b.fMat[1]); |
| 625 | tmp.fMat[kMPersp2] = rowcol3(&a.fMat[6], &b.fMat[2]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 626 | |
| 627 | normalize_perspective(tmp.fMat); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 628 | tmp.setTypeMask(kUnknown_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 629 | } else { // not perspective |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 630 | tmp.fMat[kMScaleX] = muladdmul(a.fMat[kMScaleX], |
| 631 | b.fMat[kMScaleX], |
| 632 | a.fMat[kMSkewX], |
| 633 | b.fMat[kMSkewY]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 634 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 635 | tmp.fMat[kMSkewX] = muladdmul(a.fMat[kMScaleX], |
| 636 | b.fMat[kMSkewX], |
| 637 | a.fMat[kMSkewX], |
| 638 | b.fMat[kMScaleY]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 639 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 640 | tmp.fMat[kMTransX] = muladdmul(a.fMat[kMScaleX], |
| 641 | b.fMat[kMTransX], |
| 642 | a.fMat[kMSkewX], |
| 643 | b.fMat[kMTransY]); |
| 644 | |
| 645 | tmp.fMat[kMTransX] += a.fMat[kMTransX]; |
| 646 | |
| 647 | tmp.fMat[kMSkewY] = muladdmul(a.fMat[kMSkewY], |
| 648 | b.fMat[kMScaleX], |
| 649 | a.fMat[kMScaleY], |
| 650 | b.fMat[kMSkewY]); |
| 651 | |
| 652 | tmp.fMat[kMScaleY] = muladdmul(a.fMat[kMSkewY], |
| 653 | b.fMat[kMSkewX], |
| 654 | a.fMat[kMScaleY], |
| 655 | b.fMat[kMScaleY]); |
| 656 | |
| 657 | tmp.fMat[kMTransY] = muladdmul(a.fMat[kMSkewY], |
| 658 | b.fMat[kMTransX], |
| 659 | a.fMat[kMScaleY], |
| 660 | b.fMat[kMTransY]); |
| 661 | |
| 662 | tmp.fMat[kMTransY] += a.fMat[kMTransY]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 663 | tmp.fMat[kMPersp0] = tmp.fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 664 | tmp.fMat[kMPersp2] = 1; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 665 | //SkDebugf("Concat mat non-persp type: %d\n", tmp.getType()); |
| 666 | //SkASSERT(!(tmp.getType() & kPerspective_Mask)); |
| 667 | tmp.setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 668 | } |
| 669 | *this = tmp; |
| 670 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 671 | } |
| 672 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 673 | void SkMatrix::preConcat(const SkMatrix& mat) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 674 | // check for identity first, so we don't do a needless copy of ourselves |
| 675 | // to ourselves inside setConcat() |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 676 | if(!mat.isIdentity()) { |
| 677 | this->setConcat(*this, mat); |
| 678 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 679 | } |
| 680 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 681 | void SkMatrix::postConcat(const SkMatrix& mat) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 682 | // check for identity first, so we don't do a needless copy of ourselves |
| 683 | // to ourselves inside setConcat() |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 684 | if (!mat.isIdentity()) { |
| 685 | this->setConcat(mat, *this); |
| 686 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 687 | } |
| 688 | |
| 689 | /////////////////////////////////////////////////////////////////////////////// |
| 690 | |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 691 | /* Matrix inversion is very expensive, but also the place where keeping |
| 692 | precision may be most important (here and matrix concat). Hence to avoid |
| 693 | bitmap blitting artifacts when walking the inverse, we use doubles for |
| 694 | the intermediate math, even though we know that is more expensive. |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 695 | */ |
| 696 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 697 | static inline SkScalar scross_dscale(SkScalar a, SkScalar b, |
| 698 | SkScalar c, SkScalar d, double scale) { |
| 699 | return SkDoubleToScalar(scross(a, b, c, d) * scale); |
| 700 | } |
| 701 | |
| 702 | static inline double dcross(double a, double b, double c, double d) { |
| 703 | return a * b - c * d; |
| 704 | } |
| 705 | |
| 706 | static inline SkScalar dcross_dscale(double a, double b, |
| 707 | double c, double d, double scale) { |
| 708 | return SkDoubleToScalar(dcross(a, b, c, d) * scale); |
| 709 | } |
| 710 | |
| 711 | static double sk_inv_determinant(const float mat[9], int isPerspective) { |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 712 | double det; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 713 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 714 | if (isPerspective) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 715 | det = mat[SkMatrix::kMScaleX] * |
| 716 | dcross(mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp2], |
| 717 | mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp1]) |
| 718 | + |
| 719 | mat[SkMatrix::kMSkewX] * |
| 720 | dcross(mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp0], |
| 721 | mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp2]) |
| 722 | + |
| 723 | mat[SkMatrix::kMTransX] * |
| 724 | dcross(mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp1], |
| 725 | mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp0]); |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 726 | } else { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 727 | det = dcross(mat[SkMatrix::kMScaleX], mat[SkMatrix::kMScaleY], |
| 728 | mat[SkMatrix::kMSkewX], mat[SkMatrix::kMSkewY]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 729 | } |
| 730 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 731 | // Since the determinant is on the order of the cube of the matrix members, |
| 732 | // compare to the cube of the default nearly-zero constant (although an |
| 733 | // estimate of the condition number would be better if it wasn't so expensive). |
| 734 | if (SkScalarNearlyZero((float)det, SK_ScalarNearlyZero * SK_ScalarNearlyZero * SK_ScalarNearlyZero)) { |
| 735 | return 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 736 | } |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 737 | return 1.0 / det; |
| 738 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 739 | |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 740 | void SkMatrix::SetAffineIdentity(SkScalar affine[6]) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 741 | affine[kAScaleX] = 1; |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 742 | affine[kASkewY] = 0; |
| 743 | affine[kASkewX] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 744 | affine[kAScaleY] = 1; |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 745 | affine[kATransX] = 0; |
| 746 | affine[kATransY] = 0; |
| 747 | } |
| 748 | |
| 749 | bool SkMatrix::asAffine(SkScalar affine[6]) const { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 750 | if (this->hasPerspective()) { |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 751 | return false; |
vandebo@chromium.org | ddbbd80 | 2010-10-26 19:45:06 +0000 | [diff] [blame] | 752 | } |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 753 | if (affine) { |
| 754 | affine[kAScaleX] = this->fMat[kMScaleX]; |
| 755 | affine[kASkewY] = this->fMat[kMSkewY]; |
| 756 | affine[kASkewX] = this->fMat[kMSkewX]; |
| 757 | affine[kAScaleY] = this->fMat[kMScaleY]; |
| 758 | affine[kATransX] = this->fMat[kMTransX]; |
| 759 | affine[kATransY] = this->fMat[kMTransY]; |
| 760 | } |
vandebo@chromium.org | ddbbd80 | 2010-10-26 19:45:06 +0000 | [diff] [blame] | 761 | return true; |
| 762 | } |
| 763 | |
bsalomon@google.com | 683c3c7 | 2012-10-31 16:50:38 +0000 | [diff] [blame] | 764 | bool SkMatrix::invertNonIdentity(SkMatrix* inv) const { |
| 765 | SkASSERT(!this->isIdentity()); |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 766 | |
| 767 | TypeMask mask = this->getType(); |
| 768 | |
| 769 | if (0 == (mask & ~(kScale_Mask | kTranslate_Mask))) { |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 770 | bool invertible = true; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 771 | if (inv) { |
| 772 | if (mask & kScale_Mask) { |
| 773 | SkScalar invX = fMat[kMScaleX]; |
| 774 | SkScalar invY = fMat[kMScaleY]; |
| 775 | if (0 == invX || 0 == invY) { |
| 776 | return false; |
| 777 | } |
| 778 | invX = SkScalarInvert(invX); |
| 779 | invY = SkScalarInvert(invY); |
| 780 | |
| 781 | // Must be careful when writing to inv, since it may be the |
| 782 | // same memory as this. |
| 783 | |
| 784 | inv->fMat[kMSkewX] = inv->fMat[kMSkewY] = |
| 785 | inv->fMat[kMPersp0] = inv->fMat[kMPersp1] = 0; |
| 786 | |
| 787 | inv->fMat[kMScaleX] = invX; |
| 788 | inv->fMat[kMScaleY] = invY; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 789 | inv->fMat[kMPersp2] = 1; |
| 790 | inv->fMat[kMTransX] = -fMat[kMTransX] * invX; |
| 791 | inv->fMat[kMTransY] = -fMat[kMTransY] * invY; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 792 | |
| 793 | inv->setTypeMask(mask | kRectStaysRect_Mask); |
| 794 | } else { |
| 795 | // translate only |
| 796 | inv->setTranslate(-fMat[kMTransX], -fMat[kMTransY]); |
| 797 | } |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 798 | } else { // inv is NULL, just check if we're invertible |
| 799 | if (!fMat[kMScaleX] || !fMat[kMScaleY]) { |
| 800 | invertible = false; |
| 801 | } |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 802 | } |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 803 | return invertible; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 804 | } |
reed@google.com | 4a1362a | 2013-01-04 18:52:16 +0000 | [diff] [blame] | 805 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 806 | int isPersp = mask & kPerspective_Mask; |
| 807 | double scale = sk_inv_determinant(fMat, isPersp); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 808 | |
| 809 | if (scale == 0) { // underflow |
| 810 | return false; |
| 811 | } |
| 812 | |
| 813 | if (inv) { |
| 814 | SkMatrix tmp; |
bsalomon@google.com | cf9b750 | 2011-08-01 13:26:01 +0000 | [diff] [blame] | 815 | if (inv == this) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 816 | inv = &tmp; |
bsalomon@google.com | cf9b750 | 2011-08-01 13:26:01 +0000 | [diff] [blame] | 817 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 818 | |
| 819 | if (isPersp) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 820 | inv->fMat[kMScaleX] = scross_dscale(fMat[kMScaleY], fMat[kMPersp2], fMat[kMTransY], fMat[kMPersp1], scale); |
| 821 | inv->fMat[kMSkewX] = scross_dscale(fMat[kMTransX], fMat[kMPersp1], fMat[kMSkewX], fMat[kMPersp2], scale); |
| 822 | inv->fMat[kMTransX] = scross_dscale(fMat[kMSkewX], fMat[kMTransY], fMat[kMTransX], fMat[kMScaleY], scale); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 823 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 824 | inv->fMat[kMSkewY] = scross_dscale(fMat[kMTransY], fMat[kMPersp0], fMat[kMSkewY], fMat[kMPersp2], scale); |
| 825 | inv->fMat[kMScaleY] = scross_dscale(fMat[kMScaleX], fMat[kMPersp2], fMat[kMTransX], fMat[kMPersp0], scale); |
| 826 | inv->fMat[kMTransY] = scross_dscale(fMat[kMTransX], fMat[kMSkewY], fMat[kMScaleX], fMat[kMTransY], scale); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 827 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 828 | inv->fMat[kMPersp0] = scross_dscale(fMat[kMSkewY], fMat[kMPersp1], fMat[kMScaleY], fMat[kMPersp0], scale); |
| 829 | inv->fMat[kMPersp1] = scross_dscale(fMat[kMSkewX], fMat[kMPersp0], fMat[kMScaleX], fMat[kMPersp1], scale); |
| 830 | inv->fMat[kMPersp2] = scross_dscale(fMat[kMScaleX], fMat[kMScaleY], fMat[kMSkewX], fMat[kMSkewY], scale); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 831 | } else { // not perspective |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 832 | inv->fMat[kMScaleX] = SkDoubleToScalar(fMat[kMScaleY] * scale); |
| 833 | inv->fMat[kMSkewX] = SkDoubleToScalar(-fMat[kMSkewX] * scale); |
| 834 | inv->fMat[kMTransX] = dcross_dscale(fMat[kMSkewX], fMat[kMTransY], fMat[kMScaleY], fMat[kMTransX], scale); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 835 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 836 | inv->fMat[kMSkewY] = SkDoubleToScalar(-fMat[kMSkewY] * scale); |
| 837 | inv->fMat[kMScaleY] = SkDoubleToScalar(fMat[kMScaleX] * scale); |
| 838 | inv->fMat[kMTransY] = dcross_dscale(fMat[kMSkewY], fMat[kMTransX], fMat[kMScaleX], fMat[kMTransY], scale); |
reed@google.com | 83c6a22 | 2013-12-18 05:19:22 +0000 | [diff] [blame] | 839 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 840 | inv->fMat[kMPersp0] = 0; |
| 841 | inv->fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 842 | inv->fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 843 | } |
| 844 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 845 | inv->setTypeMask(fTypeMask); |
| 846 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 847 | if (inv == &tmp) { |
| 848 | *(SkMatrix*)this = tmp; |
| 849 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 850 | } |
| 851 | return true; |
| 852 | } |
| 853 | |
| 854 | /////////////////////////////////////////////////////////////////////////////// |
| 855 | |
| 856 | void SkMatrix::Identity_pts(const SkMatrix& m, SkPoint dst[], |
| 857 | const SkPoint src[], int count) { |
| 858 | SkASSERT(m.getType() == 0); |
| 859 | |
| 860 | if (dst != src && count > 0) |
| 861 | memcpy(dst, src, count * sizeof(SkPoint)); |
| 862 | } |
| 863 | |
| 864 | void SkMatrix::Trans_pts(const SkMatrix& m, SkPoint dst[], |
| 865 | const SkPoint src[], int count) { |
| 866 | SkASSERT(m.getType() == kTranslate_Mask); |
| 867 | |
| 868 | if (count > 0) { |
| 869 | SkScalar tx = m.fMat[kMTransX]; |
| 870 | SkScalar ty = m.fMat[kMTransY]; |
| 871 | do { |
| 872 | dst->fY = src->fY + ty; |
| 873 | dst->fX = src->fX + tx; |
| 874 | src += 1; |
| 875 | dst += 1; |
| 876 | } while (--count); |
| 877 | } |
| 878 | } |
| 879 | |
| 880 | void SkMatrix::Scale_pts(const SkMatrix& m, SkPoint dst[], |
| 881 | const SkPoint src[], int count) { |
| 882 | SkASSERT(m.getType() == kScale_Mask); |
| 883 | |
| 884 | if (count > 0) { |
| 885 | SkScalar mx = m.fMat[kMScaleX]; |
| 886 | SkScalar my = m.fMat[kMScaleY]; |
| 887 | do { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 888 | dst->fY = src->fY * my; |
| 889 | dst->fX = src->fX * mx; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 890 | src += 1; |
| 891 | dst += 1; |
| 892 | } while (--count); |
| 893 | } |
| 894 | } |
| 895 | |
| 896 | void SkMatrix::ScaleTrans_pts(const SkMatrix& m, SkPoint dst[], |
| 897 | const SkPoint src[], int count) { |
| 898 | SkASSERT(m.getType() == (kScale_Mask | kTranslate_Mask)); |
| 899 | |
| 900 | if (count > 0) { |
| 901 | SkScalar mx = m.fMat[kMScaleX]; |
| 902 | SkScalar my = m.fMat[kMScaleY]; |
| 903 | SkScalar tx = m.fMat[kMTransX]; |
| 904 | SkScalar ty = m.fMat[kMTransY]; |
| 905 | do { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 906 | dst->fY = src->fY * my + ty; |
| 907 | dst->fX = src->fX * mx + tx; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 908 | src += 1; |
| 909 | dst += 1; |
| 910 | } while (--count); |
| 911 | } |
| 912 | } |
| 913 | |
| 914 | void SkMatrix::Rot_pts(const SkMatrix& m, SkPoint dst[], |
| 915 | const SkPoint src[], int count) { |
| 916 | SkASSERT((m.getType() & (kPerspective_Mask | kTranslate_Mask)) == 0); |
| 917 | |
| 918 | if (count > 0) { |
| 919 | SkScalar mx = m.fMat[kMScaleX]; |
| 920 | SkScalar my = m.fMat[kMScaleY]; |
| 921 | SkScalar kx = m.fMat[kMSkewX]; |
| 922 | SkScalar ky = m.fMat[kMSkewY]; |
| 923 | do { |
| 924 | SkScalar sy = src->fY; |
| 925 | SkScalar sx = src->fX; |
| 926 | src += 1; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 927 | dst->fY = sdot(sx, ky, sy, my); |
| 928 | dst->fX = sdot(sx, mx, sy, kx); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 929 | dst += 1; |
| 930 | } while (--count); |
| 931 | } |
| 932 | } |
| 933 | |
| 934 | void SkMatrix::RotTrans_pts(const SkMatrix& m, SkPoint dst[], |
| 935 | const SkPoint src[], int count) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 936 | SkASSERT(!m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 937 | |
| 938 | if (count > 0) { |
| 939 | SkScalar mx = m.fMat[kMScaleX]; |
| 940 | SkScalar my = m.fMat[kMScaleY]; |
| 941 | SkScalar kx = m.fMat[kMSkewX]; |
| 942 | SkScalar ky = m.fMat[kMSkewY]; |
| 943 | SkScalar tx = m.fMat[kMTransX]; |
| 944 | SkScalar ty = m.fMat[kMTransY]; |
| 945 | do { |
| 946 | SkScalar sy = src->fY; |
| 947 | SkScalar sx = src->fX; |
| 948 | src += 1; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 949 | #ifdef SK_LEGACY_MATRIX_MATH_ORDER |
| 950 | dst->fY = sx * ky + (sy * my + ty); |
| 951 | dst->fX = sx * mx + (sy * kx + tx); |
| 952 | #else |
| 953 | dst->fY = sdot(sx, ky, sy, my) + ty; |
| 954 | dst->fX = sdot(sx, mx, sy, kx) + tx; |
| 955 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 956 | dst += 1; |
| 957 | } while (--count); |
| 958 | } |
| 959 | } |
| 960 | |
| 961 | void SkMatrix::Persp_pts(const SkMatrix& m, SkPoint dst[], |
| 962 | const SkPoint src[], int count) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 963 | SkASSERT(m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 964 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 965 | if (count > 0) { |
| 966 | do { |
| 967 | SkScalar sy = src->fY; |
| 968 | SkScalar sx = src->fX; |
| 969 | src += 1; |
| 970 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 971 | SkScalar x = sdot(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 972 | SkScalar y = sdot(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 973 | #ifdef SK_LEGACY_MATRIX_MATH_ORDER |
| 974 | SkScalar z = sx * m.fMat[kMPersp0] + (sy * m.fMat[kMPersp1] + m.fMat[kMPersp2]); |
| 975 | #else |
| 976 | SkScalar z = sdot(sx, m.fMat[kMPersp0], sy, m.fMat[kMPersp1]) + m.fMat[kMPersp2]; |
| 977 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 978 | if (z) { |
| 979 | z = SkScalarFastInvert(z); |
| 980 | } |
| 981 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 982 | dst->fY = y * z; |
| 983 | dst->fX = x * z; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 984 | dst += 1; |
| 985 | } while (--count); |
| 986 | } |
| 987 | } |
| 988 | |
| 989 | const SkMatrix::MapPtsProc SkMatrix::gMapPtsProcs[] = { |
| 990 | SkMatrix::Identity_pts, SkMatrix::Trans_pts, |
| 991 | SkMatrix::Scale_pts, SkMatrix::ScaleTrans_pts, |
| 992 | SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, |
| 993 | SkMatrix::Rot_pts, SkMatrix::RotTrans_pts, |
| 994 | // repeat the persp proc 8 times |
| 995 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 996 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 997 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 998 | SkMatrix::Persp_pts, SkMatrix::Persp_pts |
| 999 | }; |
| 1000 | |
| 1001 | void SkMatrix::mapPoints(SkPoint dst[], const SkPoint src[], int count) const { |
egdaniel@google.com | 259fbaf | 2013-08-15 21:12:11 +0000 | [diff] [blame] | 1002 | SkASSERT((dst && src && count > 0) || 0 == count); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1003 | // no partial overlap |
bungeman@google.com | 3dc82c4 | 2013-10-11 19:11:10 +0000 | [diff] [blame] | 1004 | SkASSERT(src == dst || &dst[count] <= &src[0] || &src[count] <= &dst[0]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1005 | |
| 1006 | this->getMapPtsProc()(*this, dst, src, count); |
| 1007 | } |
| 1008 | |
| 1009 | /////////////////////////////////////////////////////////////////////////////// |
| 1010 | |
egdaniel@google.com | 259fbaf | 2013-08-15 21:12:11 +0000 | [diff] [blame] | 1011 | void SkMatrix::mapHomogeneousPoints(SkScalar dst[], const SkScalar src[], int count) const { |
| 1012 | SkASSERT((dst && src && count > 0) || 0 == count); |
| 1013 | // no partial overlap |
| 1014 | SkASSERT(src == dst || SkAbs32((int32_t)(src - dst)) >= 3*count); |
| 1015 | |
| 1016 | if (count > 0) { |
| 1017 | if (this->isIdentity()) { |
| 1018 | memcpy(dst, src, 3*count*sizeof(SkScalar)); |
| 1019 | return; |
| 1020 | } |
| 1021 | do { |
| 1022 | SkScalar sx = src[0]; |
| 1023 | SkScalar sy = src[1]; |
| 1024 | SkScalar sw = src[2]; |
| 1025 | src += 3; |
| 1026 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1027 | SkScalar x = sdot(sx, fMat[kMScaleX], sy, fMat[kMSkewX], sw, fMat[kMTransX]); |
| 1028 | SkScalar y = sdot(sx, fMat[kMSkewY], sy, fMat[kMScaleY], sw, fMat[kMTransY]); |
| 1029 | SkScalar w = sdot(sx, fMat[kMPersp0], sy, fMat[kMPersp1], sw, fMat[kMPersp2]); |
egdaniel@google.com | 259fbaf | 2013-08-15 21:12:11 +0000 | [diff] [blame] | 1030 | |
| 1031 | dst[0] = x; |
| 1032 | dst[1] = y; |
| 1033 | dst[2] = w; |
| 1034 | dst += 3; |
| 1035 | } while (--count); |
| 1036 | } |
| 1037 | } |
| 1038 | |
| 1039 | /////////////////////////////////////////////////////////////////////////////// |
| 1040 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1041 | void SkMatrix::mapVectors(SkPoint dst[], const SkPoint src[], int count) const { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1042 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1043 | SkPoint origin; |
| 1044 | |
| 1045 | MapXYProc proc = this->getMapXYProc(); |
| 1046 | proc(*this, 0, 0, &origin); |
| 1047 | |
| 1048 | for (int i = count - 1; i >= 0; --i) { |
| 1049 | SkPoint tmp; |
| 1050 | |
| 1051 | proc(*this, src[i].fX, src[i].fY, &tmp); |
| 1052 | dst[i].set(tmp.fX - origin.fX, tmp.fY - origin.fY); |
| 1053 | } |
| 1054 | } else { |
| 1055 | SkMatrix tmp = *this; |
| 1056 | |
| 1057 | tmp.fMat[kMTransX] = tmp.fMat[kMTransY] = 0; |
| 1058 | tmp.clearTypeMask(kTranslate_Mask); |
| 1059 | tmp.mapPoints(dst, src, count); |
| 1060 | } |
| 1061 | } |
| 1062 | |
| 1063 | bool SkMatrix::mapRect(SkRect* dst, const SkRect& src) const { |
| 1064 | SkASSERT(dst && &src); |
| 1065 | |
| 1066 | if (this->rectStaysRect()) { |
| 1067 | this->mapPoints((SkPoint*)dst, (const SkPoint*)&src, 2); |
| 1068 | dst->sort(); |
| 1069 | return true; |
| 1070 | } else { |
| 1071 | SkPoint quad[4]; |
| 1072 | |
| 1073 | src.toQuad(quad); |
| 1074 | this->mapPoints(quad, quad, 4); |
| 1075 | dst->set(quad, 4); |
| 1076 | return false; |
| 1077 | } |
| 1078 | } |
| 1079 | |
| 1080 | SkScalar SkMatrix::mapRadius(SkScalar radius) const { |
| 1081 | SkVector vec[2]; |
| 1082 | |
| 1083 | vec[0].set(radius, 0); |
| 1084 | vec[1].set(0, radius); |
| 1085 | this->mapVectors(vec, 2); |
| 1086 | |
| 1087 | SkScalar d0 = vec[0].length(); |
| 1088 | SkScalar d1 = vec[1].length(); |
| 1089 | |
reed@google.com | 6e252d4 | 2013-12-18 05:06:52 +0000 | [diff] [blame] | 1090 | // return geometric mean |
| 1091 | return SkScalarSqrt(d0 * d1); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1092 | } |
| 1093 | |
| 1094 | /////////////////////////////////////////////////////////////////////////////// |
| 1095 | |
| 1096 | void SkMatrix::Persp_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1097 | SkPoint* pt) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1098 | SkASSERT(m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1099 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1100 | SkScalar x = sdot(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1101 | SkScalar y = sdot(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1102 | SkScalar z = sdot(sx, m.fMat[kMPersp0], sy, m.fMat[kMPersp1]) + m.fMat[kMPersp2]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1103 | if (z) { |
| 1104 | z = SkScalarFastInvert(z); |
| 1105 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1106 | pt->fX = x * z; |
| 1107 | pt->fY = y * z; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1108 | } |
| 1109 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1110 | void SkMatrix::RotTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1111 | SkPoint* pt) { |
| 1112 | SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask)) == kAffine_Mask); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1113 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1114 | #ifdef SK_LEGACY_MATRIX_MATH_ORDER |
| 1115 | pt->fX = sx * m.fMat[kMScaleX] + (sy * m.fMat[kMSkewX] + m.fMat[kMTransX]); |
| 1116 | pt->fY = sx * m.fMat[kMSkewY] + (sy * m.fMat[kMScaleY] + m.fMat[kMTransY]); |
| 1117 | #else |
| 1118 | pt->fX = sdot(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1119 | pt->fY = sdot(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1120 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1121 | } |
| 1122 | |
| 1123 | void SkMatrix::Rot_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1124 | SkPoint* pt) { |
| 1125 | SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask))== kAffine_Mask); |
| 1126 | SkASSERT(0 == m.fMat[kMTransX]); |
| 1127 | SkASSERT(0 == m.fMat[kMTransY]); |
| 1128 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1129 | #ifdef SK_LEGACY_MATRIX_MATH_ORDER |
| 1130 | pt->fX = sx * m.fMat[kMScaleX] + (sy * m.fMat[kMSkewX] + m.fMat[kMTransX]); |
| 1131 | pt->fY = sx * m.fMat[kMSkewY] + (sy * m.fMat[kMScaleY] + m.fMat[kMTransY]); |
| 1132 | #else |
| 1133 | pt->fX = sdot(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1134 | pt->fY = sdot(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1135 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1136 | } |
| 1137 | |
| 1138 | void SkMatrix::ScaleTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1139 | SkPoint* pt) { |
| 1140 | SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) |
| 1141 | == kScale_Mask); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1142 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1143 | pt->fX = sx * m.fMat[kMScaleX] + m.fMat[kMTransX]; |
| 1144 | pt->fY = sy * m.fMat[kMScaleY] + m.fMat[kMTransY]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1145 | } |
| 1146 | |
| 1147 | void SkMatrix::Scale_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1148 | SkPoint* pt) { |
| 1149 | SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) |
| 1150 | == kScale_Mask); |
| 1151 | SkASSERT(0 == m.fMat[kMTransX]); |
| 1152 | SkASSERT(0 == m.fMat[kMTransY]); |
| 1153 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1154 | pt->fX = sx * m.fMat[kMScaleX]; |
| 1155 | pt->fY = sy * m.fMat[kMScaleY]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1156 | } |
| 1157 | |
| 1158 | void SkMatrix::Trans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1159 | SkPoint* pt) { |
| 1160 | SkASSERT(m.getType() == kTranslate_Mask); |
| 1161 | |
| 1162 | pt->fX = sx + m.fMat[kMTransX]; |
| 1163 | pt->fY = sy + m.fMat[kMTransY]; |
| 1164 | } |
| 1165 | |
| 1166 | void SkMatrix::Identity_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1167 | SkPoint* pt) { |
| 1168 | SkASSERT(0 == m.getType()); |
| 1169 | |
| 1170 | pt->fX = sx; |
| 1171 | pt->fY = sy; |
| 1172 | } |
| 1173 | |
| 1174 | const SkMatrix::MapXYProc SkMatrix::gMapXYProcs[] = { |
| 1175 | SkMatrix::Identity_xy, SkMatrix::Trans_xy, |
| 1176 | SkMatrix::Scale_xy, SkMatrix::ScaleTrans_xy, |
| 1177 | SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, |
| 1178 | SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, |
| 1179 | // repeat the persp proc 8 times |
| 1180 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1181 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1182 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1183 | SkMatrix::Persp_xy, SkMatrix::Persp_xy |
| 1184 | }; |
| 1185 | |
| 1186 | /////////////////////////////////////////////////////////////////////////////// |
| 1187 | |
| 1188 | // if its nearly zero (just made up 26, perhaps it should be bigger or smaller) |
reed@google.com | 83c6a22 | 2013-12-18 05:19:22 +0000 | [diff] [blame] | 1189 | #define PerspNearlyZero(x) SkScalarNearlyZero(x, (1.0f / (1 << 26))) |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1190 | |
| 1191 | bool SkMatrix::fixedStepInX(SkScalar y, SkFixed* stepX, SkFixed* stepY) const { |
| 1192 | if (PerspNearlyZero(fMat[kMPersp0])) { |
| 1193 | if (stepX || stepY) { |
| 1194 | if (PerspNearlyZero(fMat[kMPersp1]) && |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1195 | PerspNearlyZero(fMat[kMPersp2] - 1)) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1196 | if (stepX) { |
| 1197 | *stepX = SkScalarToFixed(fMat[kMScaleX]); |
| 1198 | } |
| 1199 | if (stepY) { |
| 1200 | *stepY = SkScalarToFixed(fMat[kMSkewY]); |
| 1201 | } |
| 1202 | } else { |
reed@google.com | 83c6a22 | 2013-12-18 05:19:22 +0000 | [diff] [blame] | 1203 | SkScalar z = y * fMat[kMPersp1] + fMat[kMPersp2]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1204 | if (stepX) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1205 | *stepX = SkScalarToFixed(fMat[kMScaleX] / z); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1206 | } |
| 1207 | if (stepY) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1208 | *stepY = SkScalarToFixed(fMat[kMSkewY] / z); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1209 | } |
| 1210 | } |
| 1211 | } |
| 1212 | return true; |
| 1213 | } |
| 1214 | return false; |
| 1215 | } |
| 1216 | |
| 1217 | /////////////////////////////////////////////////////////////////////////////// |
| 1218 | |
| 1219 | #include "SkPerspIter.h" |
| 1220 | |
| 1221 | SkPerspIter::SkPerspIter(const SkMatrix& m, SkScalar x0, SkScalar y0, int count) |
| 1222 | : fMatrix(m), fSX(x0), fSY(y0), fCount(count) { |
| 1223 | SkPoint pt; |
| 1224 | |
| 1225 | SkMatrix::Persp_xy(m, x0, y0, &pt); |
| 1226 | fX = SkScalarToFixed(pt.fX); |
| 1227 | fY = SkScalarToFixed(pt.fY); |
| 1228 | } |
| 1229 | |
| 1230 | int SkPerspIter::next() { |
| 1231 | int n = fCount; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1232 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1233 | if (0 == n) { |
| 1234 | return 0; |
| 1235 | } |
| 1236 | SkPoint pt; |
| 1237 | SkFixed x = fX; |
| 1238 | SkFixed y = fY; |
| 1239 | SkFixed dx, dy; |
| 1240 | |
| 1241 | if (n >= kCount) { |
| 1242 | n = kCount; |
| 1243 | fSX += SkIntToScalar(kCount); |
| 1244 | SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); |
| 1245 | fX = SkScalarToFixed(pt.fX); |
| 1246 | fY = SkScalarToFixed(pt.fY); |
| 1247 | dx = (fX - x) >> kShift; |
| 1248 | dy = (fY - y) >> kShift; |
| 1249 | } else { |
| 1250 | fSX += SkIntToScalar(n); |
| 1251 | SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); |
| 1252 | fX = SkScalarToFixed(pt.fX); |
| 1253 | fY = SkScalarToFixed(pt.fY); |
| 1254 | dx = (fX - x) / n; |
| 1255 | dy = (fY - y) / n; |
| 1256 | } |
| 1257 | |
| 1258 | SkFixed* p = fStorage; |
| 1259 | for (int i = 0; i < n; i++) { |
| 1260 | *p++ = x; x += dx; |
| 1261 | *p++ = y; y += dy; |
| 1262 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1263 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1264 | fCount -= n; |
| 1265 | return n; |
| 1266 | } |
| 1267 | |
| 1268 | /////////////////////////////////////////////////////////////////////////////// |
| 1269 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1270 | static inline bool checkForZero(float x) { |
| 1271 | return x*x == 0; |
| 1272 | } |
| 1273 | |
| 1274 | static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { |
| 1275 | float x = 1, y = 1; |
| 1276 | SkPoint pt1, pt2; |
| 1277 | |
| 1278 | if (count > 1) { |
| 1279 | pt1.fX = poly[1].fX - poly[0].fX; |
| 1280 | pt1.fY = poly[1].fY - poly[0].fY; |
| 1281 | y = SkPoint::Length(pt1.fX, pt1.fY); |
| 1282 | if (checkForZero(y)) { |
| 1283 | return false; |
| 1284 | } |
| 1285 | switch (count) { |
| 1286 | case 2: |
| 1287 | break; |
| 1288 | case 3: |
| 1289 | pt2.fX = poly[0].fY - poly[2].fY; |
| 1290 | pt2.fY = poly[2].fX - poly[0].fX; |
| 1291 | goto CALC_X; |
| 1292 | default: |
| 1293 | pt2.fX = poly[0].fY - poly[3].fY; |
| 1294 | pt2.fY = poly[3].fX - poly[0].fX; |
| 1295 | CALC_X: |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1296 | x = sdot(pt1.fX, pt2.fX, pt1.fY, pt2.fY) / y; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1297 | break; |
| 1298 | } |
| 1299 | } |
| 1300 | pt->set(x, y); |
| 1301 | return true; |
| 1302 | } |
| 1303 | |
| 1304 | bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1305 | const SkPoint& scale) { |
| 1306 | float invScale = 1 / scale.fY; |
| 1307 | |
| 1308 | dst->fMat[kMScaleX] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1309 | dst->fMat[kMSkewY] = (srcPt[0].fX - srcPt[1].fX) * invScale; |
| 1310 | dst->fMat[kMPersp0] = 0; |
| 1311 | dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1312 | dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1313 | dst->fMat[kMPersp1] = 0; |
| 1314 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1315 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1316 | dst->fMat[kMPersp2] = 1; |
| 1317 | dst->setTypeMask(kUnknown_Mask); |
| 1318 | return true; |
| 1319 | } |
| 1320 | |
| 1321 | bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1322 | const SkPoint& scale) { |
| 1323 | float invScale = 1 / scale.fX; |
| 1324 | dst->fMat[kMScaleX] = (srcPt[2].fX - srcPt[0].fX) * invScale; |
| 1325 | dst->fMat[kMSkewY] = (srcPt[2].fY - srcPt[0].fY) * invScale; |
| 1326 | dst->fMat[kMPersp0] = 0; |
| 1327 | |
| 1328 | invScale = 1 / scale.fY; |
| 1329 | dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1330 | dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1331 | dst->fMat[kMPersp1] = 0; |
| 1332 | |
| 1333 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1334 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1335 | dst->fMat[kMPersp2] = 1; |
| 1336 | dst->setTypeMask(kUnknown_Mask); |
| 1337 | return true; |
| 1338 | } |
| 1339 | |
| 1340 | bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1341 | const SkPoint& scale) { |
| 1342 | float a1, a2; |
| 1343 | float x0, y0, x1, y1, x2, y2; |
| 1344 | |
| 1345 | x0 = srcPt[2].fX - srcPt[0].fX; |
| 1346 | y0 = srcPt[2].fY - srcPt[0].fY; |
| 1347 | x1 = srcPt[2].fX - srcPt[1].fX; |
| 1348 | y1 = srcPt[2].fY - srcPt[1].fY; |
| 1349 | x2 = srcPt[2].fX - srcPt[3].fX; |
| 1350 | y2 = srcPt[2].fY - srcPt[3].fY; |
| 1351 | |
| 1352 | /* check if abs(x2) > abs(y2) */ |
| 1353 | if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { |
| 1354 | float denom = SkScalarMulDiv(x1, y2, x2) - y1; |
| 1355 | if (checkForZero(denom)) { |
| 1356 | return false; |
| 1357 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1358 | a1 = (SkScalarMulDiv(x0 - x1, y2, x2) - y0 + y1) / denom; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1359 | } else { |
| 1360 | float denom = x1 - SkScalarMulDiv(y1, x2, y2); |
| 1361 | if (checkForZero(denom)) { |
| 1362 | return false; |
| 1363 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1364 | a1 = (x0 - x1 - SkScalarMulDiv(y0 - y1, x2, y2)) / denom; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1365 | } |
| 1366 | |
| 1367 | /* check if abs(x1) > abs(y1) */ |
| 1368 | if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { |
| 1369 | float denom = y2 - SkScalarMulDiv(x2, y1, x1); |
| 1370 | if (checkForZero(denom)) { |
| 1371 | return false; |
| 1372 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1373 | a2 = (y0 - y2 - SkScalarMulDiv(x0 - x2, y1, x1)) / denom; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1374 | } else { |
| 1375 | float denom = SkScalarMulDiv(y2, x1, y1) - x2; |
| 1376 | if (checkForZero(denom)) { |
| 1377 | return false; |
| 1378 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1379 | a2 = (SkScalarMulDiv(y0 - y2, x1, y1) - x0 + x2) / denom; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1380 | } |
| 1381 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1382 | float invScale = SkScalarInvert(scale.fX); |
| 1383 | dst->fMat[kMScaleX] = (a2 * srcPt[3].fX + srcPt[3].fX - srcPt[0].fX) * invScale; |
| 1384 | dst->fMat[kMSkewY] = (a2 * srcPt[3].fY + srcPt[3].fY - srcPt[0].fY) * invScale; |
| 1385 | dst->fMat[kMPersp0] = a2 * invScale; |
| 1386 | |
| 1387 | invScale = SkScalarInvert(scale.fY); |
| 1388 | dst->fMat[kMSkewX] = (a1 * srcPt[1].fX + srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1389 | dst->fMat[kMScaleY] = (a1 * srcPt[1].fY + srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1390 | dst->fMat[kMPersp1] = a1 * invScale; |
| 1391 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1392 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1393 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1394 | dst->fMat[kMPersp2] = 1; |
| 1395 | dst->setTypeMask(kUnknown_Mask); |
| 1396 | return true; |
| 1397 | } |
| 1398 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1399 | typedef bool (*PolyMapProc)(const SkPoint[], SkMatrix*, const SkPoint&); |
| 1400 | |
| 1401 | /* Taken from Rob Johnson's original sample code in QuickDraw GX |
| 1402 | */ |
| 1403 | bool SkMatrix::setPolyToPoly(const SkPoint src[], const SkPoint dst[], |
| 1404 | int count) { |
| 1405 | if ((unsigned)count > 4) { |
| 1406 | SkDebugf("--- SkMatrix::setPolyToPoly count out of range %d\n", count); |
| 1407 | return false; |
| 1408 | } |
| 1409 | |
| 1410 | if (0 == count) { |
| 1411 | this->reset(); |
| 1412 | return true; |
| 1413 | } |
| 1414 | if (1 == count) { |
| 1415 | this->setTranslate(dst[0].fX - src[0].fX, dst[0].fY - src[0].fY); |
| 1416 | return true; |
| 1417 | } |
| 1418 | |
| 1419 | SkPoint scale; |
| 1420 | if (!poly_to_point(&scale, src, count) || |
| 1421 | SkScalarNearlyZero(scale.fX) || |
| 1422 | SkScalarNearlyZero(scale.fY)) { |
| 1423 | return false; |
| 1424 | } |
| 1425 | |
| 1426 | static const PolyMapProc gPolyMapProcs[] = { |
| 1427 | SkMatrix::Poly2Proc, SkMatrix::Poly3Proc, SkMatrix::Poly4Proc |
| 1428 | }; |
| 1429 | PolyMapProc proc = gPolyMapProcs[count - 2]; |
| 1430 | |
| 1431 | SkMatrix tempMap, result; |
| 1432 | tempMap.setTypeMask(kUnknown_Mask); |
| 1433 | |
| 1434 | if (!proc(src, &tempMap, scale)) { |
| 1435 | return false; |
| 1436 | } |
| 1437 | if (!tempMap.invert(&result)) { |
| 1438 | return false; |
| 1439 | } |
| 1440 | if (!proc(dst, &tempMap, scale)) { |
| 1441 | return false; |
| 1442 | } |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 1443 | this->setConcat(tempMap, result); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1444 | return true; |
| 1445 | } |
| 1446 | |
| 1447 | /////////////////////////////////////////////////////////////////////////////// |
| 1448 | |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1449 | enum MinMaxOrBoth { |
| 1450 | kMin_MinMaxOrBoth, |
| 1451 | kMax_MinMaxOrBoth, |
| 1452 | kBoth_MinMaxOrBoth |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1453 | }; |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1454 | |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1455 | template <MinMaxOrBoth MIN_MAX_OR_BOTH> bool get_scale_factor(SkMatrix::TypeMask typeMask, |
| 1456 | const SkScalar m[9], |
| 1457 | SkScalar results[/*1 or 2*/]) { |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1458 | if (typeMask & SkMatrix::kPerspective_Mask) { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1459 | return false; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1460 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1461 | if (SkMatrix::kIdentity_Mask == typeMask) { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1462 | results[0] = SK_Scalar1; |
| 1463 | if (kBoth_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1464 | results[1] = SK_Scalar1; |
| 1465 | } |
| 1466 | return true; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1467 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1468 | if (!(typeMask & SkMatrix::kAffine_Mask)) { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1469 | if (kMin_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1470 | results[0] = SkMinScalar(SkScalarAbs(m[SkMatrix::kMScaleX]), |
| 1471 | SkScalarAbs(m[SkMatrix::kMScaleY])); |
| 1472 | } else if (kMax_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1473 | results[0] = SkMaxScalar(SkScalarAbs(m[SkMatrix::kMScaleX]), |
| 1474 | SkScalarAbs(m[SkMatrix::kMScaleY])); |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1475 | } else { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1476 | results[0] = SkScalarAbs(m[SkMatrix::kMScaleX]); |
| 1477 | results[1] = SkScalarAbs(m[SkMatrix::kMScaleY]); |
| 1478 | if (results[0] > results[1]) { |
| 1479 | SkTSwap(results[0], results[1]); |
| 1480 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1481 | } |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1482 | return true; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1483 | } |
| 1484 | // 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] | 1485 | // compute singular values, take largest or smallest abs value. |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1486 | // [a b; b c] = A^T*A |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1487 | SkScalar a = sdot(m[SkMatrix::kMScaleX], m[SkMatrix::kMScaleX], |
| 1488 | m[SkMatrix::kMSkewY], m[SkMatrix::kMSkewY]); |
| 1489 | SkScalar b = sdot(m[SkMatrix::kMScaleX], m[SkMatrix::kMSkewX], |
| 1490 | m[SkMatrix::kMScaleY], m[SkMatrix::kMSkewY]); |
| 1491 | SkScalar c = sdot(m[SkMatrix::kMSkewX], m[SkMatrix::kMSkewX], |
| 1492 | m[SkMatrix::kMScaleY], m[SkMatrix::kMScaleY]); |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1493 | // eigenvalues of A^T*A are the squared singular values of A. |
| 1494 | // characteristic equation is det((A^T*A) - l*I) = 0 |
| 1495 | // l^2 - (a + c)l + (ac-b^2) |
| 1496 | // 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] | 1497 | // and roots are guaranteed to be pos and real). |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1498 | SkScalar bSqd = b * b; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1499 | // if upper left 2x2 is orthogonal save some math |
jvanverth@google.com | c490f80 | 2013-03-04 13:56:38 +0000 | [diff] [blame] | 1500 | if (bSqd <= SK_ScalarNearlyZero*SK_ScalarNearlyZero) { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1501 | if (kMin_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1502 | results[0] = SkMinScalar(a, c); |
| 1503 | } else if (kMax_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1504 | results[0] = SkMaxScalar(a, c); |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1505 | } else { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1506 | results[0] = a; |
| 1507 | results[1] = c; |
| 1508 | if (results[0] > results[1]) { |
| 1509 | SkTSwap(results[0], results[1]); |
| 1510 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1511 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1512 | } else { |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1513 | SkScalar aminusc = a - c; |
| 1514 | SkScalar apluscdiv2 = SkScalarHalf(a + c); |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1515 | SkScalar x = SkScalarHalf(SkScalarSqrt(aminusc * aminusc + 4 * bSqd)); |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1516 | if (kMin_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1517 | results[0] = apluscdiv2 - x; |
| 1518 | } else if (kMax_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1519 | results[0] = apluscdiv2 + x; |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1520 | } else { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1521 | results[0] = apluscdiv2 - x; |
| 1522 | results[1] = apluscdiv2 + x; |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1523 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1524 | } |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1525 | SkASSERT(results[0] >= 0); |
| 1526 | results[0] = SkScalarSqrt(results[0]); |
| 1527 | if (kBoth_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1528 | SkASSERT(results[1] >= 0); |
| 1529 | results[1] = SkScalarSqrt(results[1]); |
| 1530 | } |
| 1531 | return true; |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1532 | } |
| 1533 | |
commit-bot@chromium.org | 1878651 | 2014-05-20 14:53:45 +0000 | [diff] [blame] | 1534 | SkScalar SkMatrix::getMinScale() const { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1535 | SkScalar factor; |
| 1536 | if (get_scale_factor<kMin_MinMaxOrBoth>(this->getType(), fMat, &factor)) { |
| 1537 | return factor; |
| 1538 | } else { |
| 1539 | return -1; |
| 1540 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1541 | } |
| 1542 | |
commit-bot@chromium.org | 1878651 | 2014-05-20 14:53:45 +0000 | [diff] [blame] | 1543 | SkScalar SkMatrix::getMaxScale() const { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1544 | SkScalar factor; |
| 1545 | if (get_scale_factor<kMax_MinMaxOrBoth>(this->getType(), fMat, &factor)) { |
| 1546 | return factor; |
| 1547 | } else { |
| 1548 | return -1; |
| 1549 | } |
| 1550 | } |
| 1551 | |
| 1552 | bool SkMatrix::getMinMaxScales(SkScalar scaleFactors[2]) const { |
| 1553 | return get_scale_factor<kBoth_MinMaxOrBoth>(this->getType(), fMat, scaleFactors); |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1554 | } |
| 1555 | |
mtklein | 78358bf | 2014-06-02 08:44:27 -0700 | [diff] [blame] | 1556 | namespace { |
| 1557 | |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1558 | struct PODMatrix { |
| 1559 | SkScalar matrix[9]; |
| 1560 | uint32_t typemask; |
commit-bot@chromium.org | 21a705d | 2013-10-10 21:58:31 +0000 | [diff] [blame] | 1561 | |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1562 | const SkMatrix& asSkMatrix() const { return *reinterpret_cast<const SkMatrix*>(this); } |
| 1563 | }; |
| 1564 | SK_COMPILE_ASSERT(sizeof(PODMatrix) == sizeof(SkMatrix), PODMatrixSizeMismatch); |
mtklein | 78358bf | 2014-06-02 08:44:27 -0700 | [diff] [blame] | 1565 | |
| 1566 | } // namespace |
| 1567 | |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1568 | const SkMatrix& SkMatrix::I() { |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1569 | SK_COMPILE_ASSERT(offsetof(SkMatrix, fMat) == offsetof(PODMatrix, matrix), BadfMat); |
| 1570 | SK_COMPILE_ASSERT(offsetof(SkMatrix, fTypeMask) == offsetof(PODMatrix, typemask), BadfTypeMask); |
| 1571 | |
| 1572 | static const PODMatrix identity = { {SK_Scalar1, 0, 0, |
| 1573 | 0, SK_Scalar1, 0, |
| 1574 | 0, 0, SK_Scalar1 }, |
| 1575 | kIdentity_Mask | kRectStaysRect_Mask}; |
| 1576 | SkASSERT(identity.asSkMatrix().isIdentity()); |
| 1577 | return identity.asSkMatrix(); |
tomhudson@google.com | 1f90287 | 2012-06-01 13:15:47 +0000 | [diff] [blame] | 1578 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1579 | |
| 1580 | const SkMatrix& SkMatrix::InvalidMatrix() { |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1581 | SK_COMPILE_ASSERT(offsetof(SkMatrix, fMat) == offsetof(PODMatrix, matrix), BadfMat); |
| 1582 | SK_COMPILE_ASSERT(offsetof(SkMatrix, fTypeMask) == offsetof(PODMatrix, typemask), BadfTypeMask); |
| 1583 | |
| 1584 | static const PODMatrix invalid = |
| 1585 | { {SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, |
| 1586 | SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, |
| 1587 | SK_ScalarMax, SK_ScalarMax, SK_ScalarMax }, |
| 1588 | kTranslate_Mask | kScale_Mask | kAffine_Mask | kPerspective_Mask }; |
| 1589 | return invalid.asSkMatrix(); |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1590 | } |
| 1591 | |
| 1592 | /////////////////////////////////////////////////////////////////////////////// |
| 1593 | |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1594 | size_t SkMatrix::writeToMemory(void* buffer) const { |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1595 | // TODO write less for simple matrices |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1596 | static const size_t sizeInMemory = 9 * sizeof(SkScalar); |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1597 | if (buffer) { |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1598 | memcpy(buffer, fMat, sizeInMemory); |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1599 | } |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1600 | return sizeInMemory; |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1601 | } |
| 1602 | |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1603 | size_t SkMatrix::readFromMemory(const void* buffer, size_t length) { |
| 1604 | static const size_t sizeInMemory = 9 * sizeof(SkScalar); |
| 1605 | if (length < sizeInMemory) { |
| 1606 | return 0; |
| 1607 | } |
reed@android.com | f2b98d6 | 2010-12-20 18:26:13 +0000 | [diff] [blame] | 1608 | if (buffer) { |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1609 | memcpy(fMat, buffer, sizeInMemory); |
reed@android.com | f2b98d6 | 2010-12-20 18:26:13 +0000 | [diff] [blame] | 1610 | this->setTypeMask(kUnknown_Mask); |
| 1611 | } |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1612 | return sizeInMemory; |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1613 | } |
| 1614 | |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1615 | #ifdef SK_DEVELOPER |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1616 | void SkMatrix::dump() const { |
| 1617 | SkString str; |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1618 | this->toString(&str); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1619 | SkDebugf("%s\n", str.c_str()); |
| 1620 | } |
commit-bot@chromium.org | 0f10f7b | 2014-03-13 18:02:17 +0000 | [diff] [blame] | 1621 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1622 | |
commit-bot@chromium.org | 0f10f7b | 2014-03-13 18:02:17 +0000 | [diff] [blame] | 1623 | #ifndef SK_IGNORE_TO_STRING |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1624 | void SkMatrix::toString(SkString* str) const { |
| 1625 | 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] | 1626 | fMat[0], fMat[1], fMat[2], fMat[3], fMat[4], fMat[5], |
| 1627 | fMat[6], fMat[7], fMat[8]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1628 | } |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1629 | #endif |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1630 | |
| 1631 | /////////////////////////////////////////////////////////////////////////////// |
| 1632 | |
| 1633 | #include "SkMatrixUtils.h" |
| 1634 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1635 | bool SkTreatAsSprite(const SkMatrix& mat, int width, int height, |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1636 | unsigned subpixelBits) { |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1637 | // quick reject on affine or perspective |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1638 | if (mat.getType() & ~(SkMatrix::kScale_Mask | SkMatrix::kTranslate_Mask)) { |
| 1639 | return false; |
| 1640 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1641 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1642 | // quick success check |
| 1643 | if (!subpixelBits && !(mat.getType() & ~SkMatrix::kTranslate_Mask)) { |
| 1644 | return true; |
| 1645 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1646 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1647 | // mapRect supports negative scales, so we eliminate those first |
| 1648 | if (mat.getScaleX() < 0 || mat.getScaleY() < 0) { |
| 1649 | return false; |
| 1650 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1651 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1652 | SkRect dst; |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1653 | SkIRect isrc = { 0, 0, width, height }; |
skia.committer@gmail.com | d9f65e3 | 2013-01-04 12:07:46 +0000 | [diff] [blame] | 1654 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1655 | { |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1656 | SkRect src; |
| 1657 | src.set(isrc); |
| 1658 | mat.mapRect(&dst, src); |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1659 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1660 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1661 | // just apply the translate to isrc |
| 1662 | isrc.offset(SkScalarRoundToInt(mat.getTranslateX()), |
| 1663 | SkScalarRoundToInt(mat.getTranslateY())); |
| 1664 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1665 | if (subpixelBits) { |
| 1666 | isrc.fLeft <<= subpixelBits; |
| 1667 | isrc.fTop <<= subpixelBits; |
| 1668 | isrc.fRight <<= subpixelBits; |
| 1669 | isrc.fBottom <<= subpixelBits; |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1670 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1671 | const float scale = 1 << subpixelBits; |
| 1672 | dst.fLeft *= scale; |
| 1673 | dst.fTop *= scale; |
| 1674 | dst.fRight *= scale; |
| 1675 | dst.fBottom *= scale; |
| 1676 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1677 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1678 | SkIRect idst; |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1679 | dst.round(&idst); |
| 1680 | return isrc == idst; |
| 1681 | } |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1682 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1683 | // A square matrix M can be decomposed (via polar decomposition) into two matrices -- |
| 1684 | // an orthogonal matrix Q and a symmetric matrix S. In turn we can decompose S into U*W*U^T, |
| 1685 | // where U is another orthogonal matrix and W is a scale matrix. These can be recombined |
| 1686 | // to give M = (Q*U)*W*U^T, i.e., the product of two orthogonal matrices and a scale matrix. |
| 1687 | // |
| 1688 | // The one wrinkle is that traditionally Q may contain a reflection -- the |
| 1689 | // calculation has been rejiggered to put that reflection into W. |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1690 | bool SkDecomposeUpper2x2(const SkMatrix& matrix, |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1691 | SkPoint* rotation1, |
| 1692 | SkPoint* scale, |
| 1693 | SkPoint* rotation2) { |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1694 | |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1695 | SkScalar A = matrix[SkMatrix::kMScaleX]; |
| 1696 | SkScalar B = matrix[SkMatrix::kMSkewX]; |
| 1697 | SkScalar C = matrix[SkMatrix::kMSkewY]; |
| 1698 | SkScalar D = matrix[SkMatrix::kMScaleY]; |
| 1699 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 1700 | if (is_degenerate_2x2(A, B, C, D)) { |
| 1701 | return false; |
| 1702 | } |
| 1703 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1704 | double w1, w2; |
| 1705 | SkScalar cos1, sin1; |
| 1706 | SkScalar cos2, sin2; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1707 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1708 | // do polar decomposition (M = Q*S) |
| 1709 | SkScalar cosQ, sinQ; |
| 1710 | double Sa, Sb, Sd; |
| 1711 | // if M is already symmetric (i.e., M = I*S) |
| 1712 | if (SkScalarNearlyEqual(B, C)) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1713 | cosQ = 1; |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1714 | sinQ = 0; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1715 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1716 | Sa = A; |
| 1717 | Sb = B; |
| 1718 | Sd = D; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1719 | } else { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1720 | cosQ = A + D; |
| 1721 | sinQ = C - B; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1722 | SkScalar reciplen = SkScalarInvert(SkScalarSqrt(cosQ*cosQ + sinQ*sinQ)); |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1723 | cosQ *= reciplen; |
| 1724 | sinQ *= reciplen; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1725 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1726 | // S = Q^-1*M |
| 1727 | // we don't calc Sc since it's symmetric |
| 1728 | Sa = A*cosQ + C*sinQ; |
| 1729 | Sb = B*cosQ + D*sinQ; |
| 1730 | Sd = -B*sinQ + D*cosQ; |
| 1731 | } |
skia.committer@gmail.com | 5c561cb | 2013-07-25 07:01:00 +0000 | [diff] [blame] | 1732 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1733 | // Now we need to compute eigenvalues of S (our scale factors) |
| 1734 | // and eigenvectors (bases for our rotation) |
| 1735 | // 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] | 1736 | if (SkScalarNearlyZero(SkDoubleToScalar(Sb))) { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1737 | // already diagonalized |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1738 | cos1 = 1; |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1739 | sin1 = 0; |
| 1740 | w1 = Sa; |
| 1741 | w2 = Sd; |
| 1742 | cos2 = cosQ; |
| 1743 | sin2 = sinQ; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1744 | } else { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1745 | double diff = Sa - Sd; |
| 1746 | double discriminant = sqrt(diff*diff + 4.0*Sb*Sb); |
| 1747 | double trace = Sa + Sd; |
| 1748 | if (diff > 0) { |
| 1749 | w1 = 0.5*(trace + discriminant); |
| 1750 | w2 = 0.5*(trace - discriminant); |
| 1751 | } else { |
| 1752 | w1 = 0.5*(trace - discriminant); |
| 1753 | w2 = 0.5*(trace + discriminant); |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1754 | } |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1755 | |
jvanverth@google.com | 25f72ed | 2013-09-03 19:46:16 +0000 | [diff] [blame] | 1756 | cos1 = SkDoubleToScalar(Sb); sin1 = SkDoubleToScalar(w1 - Sa); |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1757 | SkScalar reciplen = SkScalarInvert(SkScalarSqrt(cos1*cos1 + sin1*sin1)); |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1758 | cos1 *= reciplen; |
| 1759 | sin1 *= reciplen; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1760 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1761 | // rotation 2 is composition of Q and U |
| 1762 | cos2 = cos1*cosQ - sin1*sinQ; |
| 1763 | sin2 = sin1*cosQ + cos1*sinQ; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1764 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1765 | // rotation 1 is U^T |
| 1766 | sin1 = -sin1; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1767 | } |
| 1768 | |
bsalomon | 49f085d | 2014-09-05 13:34:00 -0700 | [diff] [blame^] | 1769 | if (scale) { |
jvanverth@google.com | 25f72ed | 2013-09-03 19:46:16 +0000 | [diff] [blame] | 1770 | scale->fX = SkDoubleToScalar(w1); |
| 1771 | scale->fY = SkDoubleToScalar(w2); |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1772 | } |
bsalomon | 49f085d | 2014-09-05 13:34:00 -0700 | [diff] [blame^] | 1773 | if (rotation1) { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1774 | rotation1->fX = cos1; |
| 1775 | rotation1->fY = sin1; |
| 1776 | } |
bsalomon | 49f085d | 2014-09-05 13:34:00 -0700 | [diff] [blame^] | 1777 | if (rotation2) { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1778 | rotation2->fX = cos2; |
| 1779 | rotation2->fY = sin2; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1780 | } |
| 1781 | |
| 1782 | return true; |
| 1783 | } |