reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 1 | /* |
epoger@google.com | ec3ed6a | 2011-07-28 14:26:00 +0000 | [diff] [blame] | 2 | * Copyright 2011 Google Inc. |
| 3 | * |
| 4 | * Use of this source code is governed by a BSD-style license that can be |
| 5 | * found in the LICENSE file. |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 6 | */ |
| 7 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 8 | #include "SkMatrix44.h" |
| 9 | |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 10 | static inline bool eq4(const SkMScalar* SK_RESTRICT a, |
| 11 | const SkMScalar* SK_RESTRICT b) { |
| 12 | return (a[0] == b[0]) & (a[1] == b[1]) & (a[2] == b[2]) & (a[3] == b[3]); |
| 13 | } |
jamesr@chromium.org | deb4c16 | 2012-11-29 21:17:16 +0000 | [diff] [blame] | 14 | |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 15 | bool SkMatrix44::operator==(const SkMatrix44& other) const { |
| 16 | if (this == &other) { |
| 17 | return true; |
| 18 | } |
| 19 | |
| 20 | if (this->isTriviallyIdentity() && other.isTriviallyIdentity()) { |
| 21 | return true; |
| 22 | } |
| 23 | |
| 24 | const SkMScalar* SK_RESTRICT a = &fMat[0][0]; |
| 25 | const SkMScalar* SK_RESTRICT b = &other.fMat[0][0]; |
| 26 | |
| 27 | #if 0 |
reed@google.com | 631940c | 2012-11-27 13:13:22 +0000 | [diff] [blame] | 28 | for (int i = 0; i < 16; ++i) { |
| 29 | if (a[i] != b[i]) { |
| 30 | return false; |
| 31 | } |
| 32 | } |
| 33 | return true; |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 34 | #else |
| 35 | // to reduce branch instructions, we compare 4 at a time. |
| 36 | // see bench/Matrix44Bench.cpp for test. |
| 37 | if (!eq4(&a[0], &b[0])) { |
| 38 | return false; |
| 39 | } |
| 40 | if (!eq4(&a[4], &b[4])) { |
| 41 | return false; |
| 42 | } |
| 43 | if (!eq4(&a[8], &b[8])) { |
| 44 | return false; |
| 45 | } |
| 46 | return eq4(&a[12], &b[12]); |
| 47 | #endif |
| 48 | } |
| 49 | |
| 50 | /////////////////////////////////////////////////////////////////////////////// |
| 51 | |
| 52 | int SkMatrix44::computeTypeMask() const { |
| 53 | unsigned mask = 0; |
skia.committer@gmail.com | 0264fb4 | 2012-12-06 02:01:25 +0000 | [diff] [blame] | 54 | |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 55 | if (0 != perspX() || 0 != perspY() || 0 != perspZ() || 1 != fMat[3][3]) { |
| 56 | return kTranslate_Mask | kScale_Mask | kAffine_Mask | kPerspective_Mask; |
| 57 | } |
| 58 | |
| 59 | if (0 != transX() || 0 != transY() || 0 != transZ()) { |
| 60 | mask |= kTranslate_Mask; |
| 61 | } |
| 62 | |
| 63 | if (1 != scaleX() || 1 != scaleY() || 1 != scaleZ()) { |
| 64 | mask |= kScale_Mask; |
| 65 | } |
| 66 | |
| 67 | if (0 != fMat[1][0] || 0 != fMat[0][1] || 0 != fMat[0][2] || |
| 68 | 0 != fMat[2][0] || 0 != fMat[1][2] || 0 != fMat[2][1]) { |
| 69 | mask |= kAffine_Mask; |
| 70 | } |
| 71 | |
| 72 | return mask; |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 73 | } |
| 74 | |
| 75 | /////////////////////////////////////////////////////////////////////////////// |
| 76 | |
reed@google.com | da9fac0 | 2011-06-13 14:46:52 +0000 | [diff] [blame] | 77 | void SkMatrix44::asColMajorf(float dst[]) const { |
| 78 | const SkMScalar* src = &fMat[0][0]; |
| 79 | #ifdef SK_MSCALAR_IS_DOUBLE |
| 80 | for (int i = 0; i < 16; ++i) { |
| 81 | dst[i] = SkMScalarToFloat(src[i]); |
| 82 | } |
vollick@chromium.org | 5596a69 | 2012-11-13 20:12:00 +0000 | [diff] [blame] | 83 | #elif defined SK_MSCALAR_IS_FLOAT |
reed@google.com | da9fac0 | 2011-06-13 14:46:52 +0000 | [diff] [blame] | 84 | memcpy(dst, src, 16 * sizeof(float)); |
| 85 | #endif |
| 86 | } |
| 87 | |
| 88 | void SkMatrix44::asColMajord(double dst[]) const { |
| 89 | const SkMScalar* src = &fMat[0][0]; |
| 90 | #ifdef SK_MSCALAR_IS_DOUBLE |
| 91 | memcpy(dst, src, 16 * sizeof(double)); |
vollick@chromium.org | 5596a69 | 2012-11-13 20:12:00 +0000 | [diff] [blame] | 92 | #elif defined SK_MSCALAR_IS_FLOAT |
reed@google.com | da9fac0 | 2011-06-13 14:46:52 +0000 | [diff] [blame] | 93 | for (int i = 0; i < 16; ++i) { |
| 94 | dst[i] = SkMScalarToDouble(src[i]); |
| 95 | } |
| 96 | #endif |
| 97 | } |
| 98 | |
| 99 | void SkMatrix44::asRowMajorf(float dst[]) const { |
| 100 | const SkMScalar* src = &fMat[0][0]; |
| 101 | for (int i = 0; i < 4; ++i) { |
| 102 | dst[0] = SkMScalarToFloat(src[0]); |
| 103 | dst[4] = SkMScalarToFloat(src[1]); |
| 104 | dst[8] = SkMScalarToFloat(src[2]); |
| 105 | dst[12] = SkMScalarToFloat(src[3]); |
| 106 | src += 4; |
| 107 | dst += 1; |
| 108 | } |
| 109 | } |
| 110 | |
| 111 | void SkMatrix44::asRowMajord(double dst[]) const { |
| 112 | const SkMScalar* src = &fMat[0][0]; |
| 113 | for (int i = 0; i < 4; ++i) { |
| 114 | dst[0] = SkMScalarToDouble(src[0]); |
| 115 | dst[4] = SkMScalarToDouble(src[1]); |
| 116 | dst[8] = SkMScalarToDouble(src[2]); |
| 117 | dst[12] = SkMScalarToDouble(src[3]); |
| 118 | src += 4; |
| 119 | dst += 1; |
| 120 | } |
| 121 | } |
| 122 | |
vollick@chromium.org | f11cf9f | 2012-11-19 21:02:06 +0000 | [diff] [blame] | 123 | void SkMatrix44::setColMajorf(const float src[]) { |
| 124 | SkMScalar* dst = &fMat[0][0]; |
| 125 | #ifdef SK_MSCALAR_IS_DOUBLE |
| 126 | for (int i = 0; i < 16; ++i) { |
| 127 | dst[i] = SkMScalarToFloat(src[i]); |
| 128 | } |
| 129 | #elif defined SK_MSCALAR_IS_FLOAT |
| 130 | memcpy(dst, src, 16 * sizeof(float)); |
| 131 | #endif |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 132 | |
| 133 | this->dirtyTypeMask(); |
vollick@chromium.org | f11cf9f | 2012-11-19 21:02:06 +0000 | [diff] [blame] | 134 | } |
| 135 | |
| 136 | void SkMatrix44::setColMajord(const double src[]) { |
| 137 | SkMScalar* dst = &fMat[0][0]; |
| 138 | #ifdef SK_MSCALAR_IS_DOUBLE |
| 139 | memcpy(dst, src, 16 * sizeof(double)); |
| 140 | #elif defined SK_MSCALAR_IS_FLOAT |
| 141 | for (int i = 0; i < 16; ++i) { |
robertphillips@google.com | 93f0332 | 2012-12-03 17:35:19 +0000 | [diff] [blame] | 142 | dst[i] = SkDoubleToMScalar(src[i]); |
vollick@chromium.org | f11cf9f | 2012-11-19 21:02:06 +0000 | [diff] [blame] | 143 | } |
| 144 | #endif |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 145 | |
| 146 | this->dirtyTypeMask(); |
vollick@chromium.org | f11cf9f | 2012-11-19 21:02:06 +0000 | [diff] [blame] | 147 | } |
| 148 | |
| 149 | void SkMatrix44::setRowMajorf(const float src[]) { |
| 150 | SkMScalar* dst = &fMat[0][0]; |
| 151 | for (int i = 0; i < 4; ++i) { |
| 152 | dst[0] = SkMScalarToFloat(src[0]); |
| 153 | dst[4] = SkMScalarToFloat(src[1]); |
| 154 | dst[8] = SkMScalarToFloat(src[2]); |
| 155 | dst[12] = SkMScalarToFloat(src[3]); |
| 156 | src += 4; |
| 157 | dst += 1; |
| 158 | } |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 159 | this->dirtyTypeMask(); |
vollick@chromium.org | f11cf9f | 2012-11-19 21:02:06 +0000 | [diff] [blame] | 160 | } |
| 161 | |
| 162 | void SkMatrix44::setRowMajord(const double src[]) { |
| 163 | SkMScalar* dst = &fMat[0][0]; |
| 164 | for (int i = 0; i < 4; ++i) { |
robertphillips@google.com | 93f0332 | 2012-12-03 17:35:19 +0000 | [diff] [blame] | 165 | dst[0] = SkDoubleToMScalar(src[0]); |
| 166 | dst[4] = SkDoubleToMScalar(src[1]); |
| 167 | dst[8] = SkDoubleToMScalar(src[2]); |
| 168 | dst[12] = SkDoubleToMScalar(src[3]); |
vollick@chromium.org | f11cf9f | 2012-11-19 21:02:06 +0000 | [diff] [blame] | 169 | src += 4; |
| 170 | dst += 1; |
| 171 | } |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 172 | this->dirtyTypeMask(); |
vollick@chromium.org | f11cf9f | 2012-11-19 21:02:06 +0000 | [diff] [blame] | 173 | } |
| 174 | |
reed@google.com | da9fac0 | 2011-06-13 14:46:52 +0000 | [diff] [blame] | 175 | /////////////////////////////////////////////////////////////////////////////// |
| 176 | |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 177 | const SkMatrix44& SkMatrix44::I() { |
reed@google.com | 1adad34 | 2012-12-10 21:21:27 +0000 | [diff] [blame] | 178 | static const SkMatrix44 gIdentity44(kIdentity_Constructor); |
| 179 | return gIdentity44; |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 180 | } |
| 181 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 182 | void SkMatrix44::setIdentity() { |
shawnsingh@chromium.org | 5a6cd35 | 2013-08-28 18:55:25 +0000 | [diff] [blame] | 183 | fMat[0][0] = 1; |
| 184 | fMat[0][1] = 0; |
| 185 | fMat[0][2] = 0; |
| 186 | fMat[0][3] = 0; |
| 187 | fMat[1][0] = 0; |
| 188 | fMat[1][1] = 1; |
| 189 | fMat[1][2] = 0; |
| 190 | fMat[1][3] = 0; |
| 191 | fMat[2][0] = 0; |
| 192 | fMat[2][1] = 0; |
| 193 | fMat[2][2] = 1; |
| 194 | fMat[2][3] = 0; |
| 195 | fMat[3][0] = 0; |
| 196 | fMat[3][1] = 0; |
| 197 | fMat[3][2] = 0; |
| 198 | fMat[3][3] = 1; |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 199 | this->setTypeMask(kIdentity_Mask); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 200 | } |
| 201 | |
| 202 | void SkMatrix44::set3x3(SkMScalar m00, SkMScalar m01, SkMScalar m02, |
| 203 | SkMScalar m10, SkMScalar m11, SkMScalar m12, |
| 204 | SkMScalar m20, SkMScalar m21, SkMScalar m22) { |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 205 | fMat[0][0] = m00; fMat[0][1] = m01; fMat[0][2] = m02; fMat[0][3] = 0; |
| 206 | fMat[1][0] = m10; fMat[1][1] = m11; fMat[1][2] = m12; fMat[1][3] = 0; |
| 207 | fMat[2][0] = m20; fMat[2][1] = m21; fMat[2][2] = m22; fMat[2][3] = 0; |
| 208 | fMat[3][0] = 0; fMat[3][1] = 0; fMat[3][2] = 0; fMat[3][3] = 1; |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 209 | this->dirtyTypeMask(); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 210 | } |
| 211 | |
| 212 | /////////////////////////////////////////////////////////////////////////////// |
| 213 | |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 214 | void SkMatrix44::setTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) { |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 215 | this->setIdentity(); |
skia.committer@gmail.com | e659c2e | 2012-12-04 02:01:25 +0000 | [diff] [blame] | 216 | |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 217 | if (!dx && !dy && !dz) { |
| 218 | return; |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 219 | } |
skia.committer@gmail.com | 0264fb4 | 2012-12-06 02:01:25 +0000 | [diff] [blame] | 220 | |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 221 | fMat[3][0] = dx; |
| 222 | fMat[3][1] = dy; |
| 223 | fMat[3][2] = dz; |
| 224 | this->setTypeMask(kTranslate_Mask); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 225 | } |
| 226 | |
| 227 | void SkMatrix44::preTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) { |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 228 | if (!dx && !dy && !dz) { |
| 229 | return; |
| 230 | } |
| 231 | |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 232 | for (int i = 0; i < 4; ++i) { |
commit-bot@chromium.org | 658e28b | 2013-10-29 21:08:51 +0000 | [diff] [blame] | 233 | fMat[3][i] = fMat[0][i] * dx + fMat[1][i] * dy + fMat[2][i] * dz + fMat[3][i]; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 234 | } |
| 235 | this->dirtyTypeMask(); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 236 | } |
| 237 | |
| 238 | void SkMatrix44::postTranslate(SkMScalar dx, SkMScalar dy, SkMScalar dz) { |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 239 | if (!dx && !dy && !dz) { |
| 240 | return; |
| 241 | } |
| 242 | |
| 243 | if (this->getType() & kPerspective_Mask) { |
| 244 | for (int i = 0; i < 4; ++i) { |
| 245 | fMat[i][0] += fMat[i][3] * dx; |
| 246 | fMat[i][1] += fMat[i][3] * dy; |
| 247 | fMat[i][2] += fMat[i][3] * dz; |
| 248 | } |
| 249 | } else { |
| 250 | fMat[3][0] += dx; |
| 251 | fMat[3][1] += dy; |
| 252 | fMat[3][2] += dz; |
| 253 | this->dirtyTypeMask(); |
| 254 | } |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 255 | } |
| 256 | |
| 257 | /////////////////////////////////////////////////////////////////////////////// |
| 258 | |
| 259 | void SkMatrix44::setScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) { |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 260 | this->setIdentity(); |
| 261 | |
| 262 | if (1 == sx && 1 == sy && 1 == sz) { |
| 263 | return; |
| 264 | } |
| 265 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 266 | fMat[0][0] = sx; |
| 267 | fMat[1][1] = sy; |
| 268 | fMat[2][2] = sz; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 269 | this->setTypeMask(kScale_Mask); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 270 | } |
| 271 | |
| 272 | void SkMatrix44::preScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) { |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 273 | if (1 == sx && 1 == sy && 1 == sz) { |
| 274 | return; |
| 275 | } |
skia.committer@gmail.com | 0264fb4 | 2012-12-06 02:01:25 +0000 | [diff] [blame] | 276 | |
shawnsingh@chromium.org | f81f97e | 2012-12-13 22:21:36 +0000 | [diff] [blame] | 277 | // The implementation matrix * pureScale can be shortcut |
| 278 | // by knowing that pureScale components effectively scale |
| 279 | // the columns of the original matrix. |
| 280 | for (int i = 0; i < 4; i++) { |
| 281 | fMat[0][i] *= sx; |
| 282 | fMat[1][i] *= sy; |
| 283 | fMat[2][i] *= sz; |
| 284 | } |
| 285 | this->dirtyTypeMask(); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 286 | } |
| 287 | |
| 288 | void SkMatrix44::postScale(SkMScalar sx, SkMScalar sy, SkMScalar sz) { |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 289 | if (1 == sx && 1 == sy && 1 == sz) { |
| 290 | return; |
| 291 | } |
skia.committer@gmail.com | 0264fb4 | 2012-12-06 02:01:25 +0000 | [diff] [blame] | 292 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 293 | for (int i = 0; i < 4; i++) { |
| 294 | fMat[i][0] *= sx; |
| 295 | fMat[i][1] *= sy; |
| 296 | fMat[i][2] *= sz; |
| 297 | } |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 298 | this->dirtyTypeMask(); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 299 | } |
| 300 | |
| 301 | /////////////////////////////////////////////////////////////////////////////// |
| 302 | |
| 303 | void SkMatrix44::setRotateAbout(SkMScalar x, SkMScalar y, SkMScalar z, |
| 304 | SkMScalar radians) { |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 305 | double len2 = (double)x * x + (double)y * y + (double)z * z; |
| 306 | if (1 != len2) { |
| 307 | if (0 == len2) { |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 308 | this->setIdentity(); |
| 309 | return; |
| 310 | } |
| 311 | double scale = 1 / sqrt(len2); |
bsalomon@google.com | 9d12f5c | 2011-09-29 18:08:18 +0000 | [diff] [blame] | 312 | x = SkDoubleToMScalar(x * scale); |
| 313 | y = SkDoubleToMScalar(y * scale); |
| 314 | z = SkDoubleToMScalar(z * scale); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 315 | } |
| 316 | this->setRotateAboutUnit(x, y, z, radians); |
| 317 | } |
| 318 | |
| 319 | void SkMatrix44::setRotateAboutUnit(SkMScalar x, SkMScalar y, SkMScalar z, |
| 320 | SkMScalar radians) { |
| 321 | double c = cos(radians); |
| 322 | double s = sin(radians); |
| 323 | double C = 1 - c; |
| 324 | double xs = x * s; |
| 325 | double ys = y * s; |
| 326 | double zs = z * s; |
| 327 | double xC = x * C; |
| 328 | double yC = y * C; |
| 329 | double zC = z * C; |
| 330 | double xyC = x * yC; |
| 331 | double yzC = y * zC; |
| 332 | double zxC = z * xC; |
| 333 | |
| 334 | // if you're looking at wikipedia, remember that we're column major. |
bsalomon@google.com | 9d12f5c | 2011-09-29 18:08:18 +0000 | [diff] [blame] | 335 | this->set3x3(SkDoubleToMScalar(x * xC + c), // scale x |
| 336 | SkDoubleToMScalar(xyC + zs), // skew x |
| 337 | SkDoubleToMScalar(zxC - ys), // trans x |
| 338 | |
| 339 | SkDoubleToMScalar(xyC - zs), // skew y |
| 340 | SkDoubleToMScalar(y * yC + c), // scale y |
| 341 | SkDoubleToMScalar(yzC + xs), // trans y |
| 342 | |
| 343 | SkDoubleToMScalar(zxC + ys), // persp x |
| 344 | SkDoubleToMScalar(yzC - xs), // persp y |
| 345 | SkDoubleToMScalar(z * zC + c)); // persp 2 |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 346 | } |
| 347 | |
| 348 | /////////////////////////////////////////////////////////////////////////////// |
| 349 | |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 350 | static bool bits_isonly(int value, int mask) { |
| 351 | return 0 == (value & ~mask); |
| 352 | } |
| 353 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 354 | void SkMatrix44::setConcat(const SkMatrix44& a, const SkMatrix44& b) { |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 355 | const SkMatrix44::TypeMask a_mask = a.getType(); |
| 356 | const SkMatrix44::TypeMask b_mask = b.getType(); |
| 357 | |
| 358 | if (kIdentity_Mask == a_mask) { |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 359 | *this = b; |
| 360 | return; |
| 361 | } |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 362 | if (kIdentity_Mask == b_mask) { |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 363 | *this = a; |
| 364 | return; |
| 365 | } |
| 366 | |
| 367 | bool useStorage = (this == &a || this == &b); |
| 368 | SkMScalar storage[16]; |
| 369 | SkMScalar* result = useStorage ? storage : &fMat[0][0]; |
| 370 | |
reed@google.com | 2b16570 | 2013-01-17 16:01:19 +0000 | [diff] [blame] | 371 | // Both matrices are at most scale+translate |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 372 | if (bits_isonly(a_mask | b_mask, kScale_Mask | kTranslate_Mask)) { |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 373 | result[0] = a.fMat[0][0] * b.fMat[0][0]; |
reed@google.com | 2b16570 | 2013-01-17 16:01:19 +0000 | [diff] [blame] | 374 | result[1] = result[2] = result[3] = result[4] = 0; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 375 | result[5] = a.fMat[1][1] * b.fMat[1][1]; |
reed@google.com | 2b16570 | 2013-01-17 16:01:19 +0000 | [diff] [blame] | 376 | result[6] = result[7] = result[8] = result[9] = 0; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 377 | result[10] = a.fMat[2][2] * b.fMat[2][2]; |
reed@google.com | 2b16570 | 2013-01-17 16:01:19 +0000 | [diff] [blame] | 378 | result[11] = 0; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 379 | result[12] = a.fMat[0][0] * b.fMat[3][0] + a.fMat[3][0]; |
| 380 | result[13] = a.fMat[1][1] * b.fMat[3][1] + a.fMat[3][1]; |
| 381 | result[14] = a.fMat[2][2] * b.fMat[3][2] + a.fMat[3][2]; |
| 382 | result[15] = 1; |
| 383 | } else { |
| 384 | for (int j = 0; j < 4; j++) { |
| 385 | for (int i = 0; i < 4; i++) { |
commit-bot@chromium.org | bde4ba2 | 2014-01-24 18:48:00 +0000 | [diff] [blame] | 386 | double value = 0; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 387 | for (int k = 0; k < 4; k++) { |
commit-bot@chromium.org | bde4ba2 | 2014-01-24 18:48:00 +0000 | [diff] [blame] | 388 | value += SkMScalarToDouble(a.fMat[k][i]) * b.fMat[j][k]; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 389 | } |
commit-bot@chromium.org | bde4ba2 | 2014-01-24 18:48:00 +0000 | [diff] [blame] | 390 | *result++ = SkDoubleToMScalar(value); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 391 | } |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 392 | } |
| 393 | } |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 394 | |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 395 | if (useStorage) { |
tomhudson@google.com | 7cfb9c7 | 2013-01-17 13:29:35 +0000 | [diff] [blame] | 396 | memcpy(fMat, storage, sizeof(storage)); |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 397 | } |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 398 | this->dirtyTypeMask(); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 399 | } |
| 400 | |
| 401 | /////////////////////////////////////////////////////////////////////////////// |
| 402 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 403 | /** We always perform the calculation in doubles, to avoid prematurely losing |
| 404 | precision along the way. This relies on the compiler automatically |
| 405 | promoting our SkMScalar values to double (if needed). |
| 406 | */ |
| 407 | double SkMatrix44::determinant() const { |
mike@reedtribe.org | f8b1ebc | 2012-12-10 03:27:47 +0000 | [diff] [blame] | 408 | if (this->isIdentity()) { |
| 409 | return 1; |
| 410 | } |
| 411 | if (this->isScaleTranslate()) { |
| 412 | return fMat[0][0] * fMat[1][1] * fMat[2][2] * fMat[3][3]; |
| 413 | } |
| 414 | |
tomhudson@google.com | 9973a8a | 2012-12-13 09:55:42 +0000 | [diff] [blame] | 415 | double a00 = fMat[0][0]; |
| 416 | double a01 = fMat[0][1]; |
| 417 | double a02 = fMat[0][2]; |
| 418 | double a03 = fMat[0][3]; |
| 419 | double a10 = fMat[1][0]; |
| 420 | double a11 = fMat[1][1]; |
| 421 | double a12 = fMat[1][2]; |
| 422 | double a13 = fMat[1][3]; |
| 423 | double a20 = fMat[2][0]; |
| 424 | double a21 = fMat[2][1]; |
| 425 | double a22 = fMat[2][2]; |
| 426 | double a23 = fMat[2][3]; |
| 427 | double a30 = fMat[3][0]; |
| 428 | double a31 = fMat[3][1]; |
| 429 | double a32 = fMat[3][2]; |
| 430 | double a33 = fMat[3][3]; |
| 431 | |
| 432 | double b00 = a00 * a11 - a01 * a10; |
| 433 | double b01 = a00 * a12 - a02 * a10; |
| 434 | double b02 = a00 * a13 - a03 * a10; |
| 435 | double b03 = a01 * a12 - a02 * a11; |
| 436 | double b04 = a01 * a13 - a03 * a11; |
| 437 | double b05 = a02 * a13 - a03 * a12; |
| 438 | double b06 = a20 * a31 - a21 * a30; |
| 439 | double b07 = a20 * a32 - a22 * a30; |
| 440 | double b08 = a20 * a33 - a23 * a30; |
| 441 | double b09 = a21 * a32 - a22 * a31; |
| 442 | double b10 = a21 * a33 - a23 * a31; |
| 443 | double b11 = a22 * a33 - a23 * a32; |
| 444 | |
| 445 | // Calculate the determinant |
| 446 | return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 447 | } |
| 448 | |
| 449 | /////////////////////////////////////////////////////////////////////////////// |
| 450 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 451 | static bool is_matrix_finite(const SkMatrix44& matrix) { |
| 452 | SkMScalar accumulator = 0; |
| 453 | for (int row = 0; row < 4; ++row) { |
| 454 | for (int col = 0; col < 4; ++col) { |
| 455 | accumulator *= matrix.get(row, col); |
| 456 | } |
| 457 | } |
| 458 | return accumulator == 0; |
| 459 | } |
| 460 | |
| 461 | bool SkMatrix44::invert(SkMatrix44* storage) const { |
mike@reedtribe.org | f8b1ebc | 2012-12-10 03:27:47 +0000 | [diff] [blame] | 462 | if (this->isIdentity()) { |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 463 | if (storage) { |
| 464 | storage->setIdentity(); |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 465 | } |
commit-bot@chromium.org | 178acd2 | 2013-11-20 21:32:27 +0000 | [diff] [blame] | 466 | return true; |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 467 | } |
commit-bot@chromium.org | 178acd2 | 2013-11-20 21:32:27 +0000 | [diff] [blame] | 468 | |
mike@reedtribe.org | f8b1ebc | 2012-12-10 03:27:47 +0000 | [diff] [blame] | 469 | if (this->isTranslate()) { |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 470 | if (storage) { |
| 471 | storage->setTranslate(-fMat[3][0], -fMat[3][1], -fMat[3][2]); |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 472 | } |
| 473 | return true; |
| 474 | } |
commit-bot@chromium.org | 178acd2 | 2013-11-20 21:32:27 +0000 | [diff] [blame] | 475 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 476 | SkMatrix44 tmp(kUninitialized_Constructor); |
| 477 | // Use storage if it's available and distinct from this matrix. |
| 478 | SkMatrix44* inverse = (storage && storage != this) ? storage : &tmp; |
mike@reedtribe.org | f8b1ebc | 2012-12-10 03:27:47 +0000 | [diff] [blame] | 479 | if (this->isScaleTranslate()) { |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 480 | if (0 == fMat[0][0] * fMat[1][1] * fMat[2][2]) { |
| 481 | return false; |
| 482 | } |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 483 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 484 | double invXScale = 1 / fMat[0][0]; |
| 485 | double invYScale = 1 / fMat[1][1]; |
| 486 | double invZScale = 1 / fMat[2][2]; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 487 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 488 | inverse->fMat[0][0] = SkDoubleToMScalar(invXScale); |
| 489 | inverse->fMat[0][1] = 0; |
| 490 | inverse->fMat[0][2] = 0; |
| 491 | inverse->fMat[0][3] = 0; |
skia.committer@gmail.com | 772c4e6 | 2013-08-30 07:01:34 +0000 | [diff] [blame] | 492 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 493 | inverse->fMat[1][0] = 0; |
| 494 | inverse->fMat[1][1] = SkDoubleToMScalar(invYScale); |
| 495 | inverse->fMat[1][2] = 0; |
| 496 | inverse->fMat[1][3] = 0; |
skia.committer@gmail.com | 772c4e6 | 2013-08-30 07:01:34 +0000 | [diff] [blame] | 497 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 498 | inverse->fMat[2][0] = 0; |
| 499 | inverse->fMat[2][1] = 0; |
| 500 | inverse->fMat[2][2] = SkDoubleToMScalar(invZScale); |
| 501 | inverse->fMat[2][3] = 0; |
skia.committer@gmail.com | 772c4e6 | 2013-08-30 07:01:34 +0000 | [diff] [blame] | 502 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 503 | inverse->fMat[3][0] = SkDoubleToMScalar(-fMat[3][0] * invXScale); |
| 504 | inverse->fMat[3][1] = SkDoubleToMScalar(-fMat[3][1] * invYScale); |
| 505 | inverse->fMat[3][2] = SkDoubleToMScalar(-fMat[3][2] * invZScale); |
| 506 | inverse->fMat[3][3] = 1; |
shawnsingh@chromium.org | b6823c1 | 2013-08-22 20:24:21 +0000 | [diff] [blame] | 507 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 508 | inverse->setTypeMask(this->getType()); |
| 509 | |
| 510 | if (!is_matrix_finite(*inverse)) { |
| 511 | return false; |
shawnsingh@chromium.org | 5a6cd35 | 2013-08-28 18:55:25 +0000 | [diff] [blame] | 512 | } |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 513 | if (storage && inverse != storage) { |
| 514 | *storage = *inverse; |
| 515 | } |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 516 | return true; |
| 517 | } |
| 518 | |
tomhudson@google.com | 9973a8a | 2012-12-13 09:55:42 +0000 | [diff] [blame] | 519 | double a00 = fMat[0][0]; |
| 520 | double a01 = fMat[0][1]; |
| 521 | double a02 = fMat[0][2]; |
| 522 | double a03 = fMat[0][3]; |
| 523 | double a10 = fMat[1][0]; |
| 524 | double a11 = fMat[1][1]; |
| 525 | double a12 = fMat[1][2]; |
| 526 | double a13 = fMat[1][3]; |
| 527 | double a20 = fMat[2][0]; |
| 528 | double a21 = fMat[2][1]; |
| 529 | double a22 = fMat[2][2]; |
| 530 | double a23 = fMat[2][3]; |
| 531 | double a30 = fMat[3][0]; |
| 532 | double a31 = fMat[3][1]; |
| 533 | double a32 = fMat[3][2]; |
| 534 | double a33 = fMat[3][3]; |
| 535 | |
shawnsingh@chromium.org | b6823c1 | 2013-08-22 20:24:21 +0000 | [diff] [blame] | 536 | if (!(this->getType() & kPerspective_Mask)) { |
| 537 | // If we know the matrix has no perspective, then the perspective |
| 538 | // component is (0, 0, 0, 1). We can use this information to save a lot |
| 539 | // of arithmetic that would otherwise be spent to compute the inverse |
| 540 | // of a general matrix. |
| 541 | |
| 542 | SkASSERT(a03 == 0); |
| 543 | SkASSERT(a13 == 0); |
| 544 | SkASSERT(a23 == 0); |
| 545 | SkASSERT(a33 == 1); |
| 546 | |
| 547 | double b00 = a00 * a11 - a01 * a10; |
| 548 | double b01 = a00 * a12 - a02 * a10; |
| 549 | double b03 = a01 * a12 - a02 * a11; |
| 550 | double b06 = a20 * a31 - a21 * a30; |
| 551 | double b07 = a20 * a32 - a22 * a30; |
| 552 | double b08 = a20; |
| 553 | double b09 = a21 * a32 - a22 * a31; |
| 554 | double b10 = a21; |
| 555 | double b11 = a22; |
| 556 | |
| 557 | // Calculate the determinant |
| 558 | double det = b00 * b11 - b01 * b10 + b03 * b08; |
| 559 | |
| 560 | double invdet = 1.0 / det; |
| 561 | // If det is zero, we want to return false. However, we also want to return false |
| 562 | // if 1/det overflows to infinity (i.e. det is denormalized). Both of these are |
| 563 | // handled by checking that 1/det is finite. |
| 564 | if (!sk_float_isfinite(invdet)) { |
| 565 | return false; |
| 566 | } |
shawnsingh@chromium.org | b6823c1 | 2013-08-22 20:24:21 +0000 | [diff] [blame] | 567 | |
| 568 | b00 *= invdet; |
| 569 | b01 *= invdet; |
| 570 | b03 *= invdet; |
| 571 | b06 *= invdet; |
| 572 | b07 *= invdet; |
| 573 | b08 *= invdet; |
| 574 | b09 *= invdet; |
| 575 | b10 *= invdet; |
| 576 | b11 *= invdet; |
| 577 | |
| 578 | inverse->fMat[0][0] = SkDoubleToMScalar(a11 * b11 - a12 * b10); |
| 579 | inverse->fMat[0][1] = SkDoubleToMScalar(a02 * b10 - a01 * b11); |
| 580 | inverse->fMat[0][2] = SkDoubleToMScalar(b03); |
| 581 | inverse->fMat[0][3] = 0; |
| 582 | inverse->fMat[1][0] = SkDoubleToMScalar(a12 * b08 - a10 * b11); |
| 583 | inverse->fMat[1][1] = SkDoubleToMScalar(a00 * b11 - a02 * b08); |
| 584 | inverse->fMat[1][2] = SkDoubleToMScalar(-b01); |
| 585 | inverse->fMat[1][3] = 0; |
| 586 | inverse->fMat[2][0] = SkDoubleToMScalar(a10 * b10 - a11 * b08); |
| 587 | inverse->fMat[2][1] = SkDoubleToMScalar(a01 * b08 - a00 * b10); |
| 588 | inverse->fMat[2][2] = SkDoubleToMScalar(b00); |
| 589 | inverse->fMat[2][3] = 0; |
| 590 | inverse->fMat[3][0] = SkDoubleToMScalar(a11 * b07 - a10 * b09 - a12 * b06); |
| 591 | inverse->fMat[3][1] = SkDoubleToMScalar(a00 * b09 - a01 * b07 + a02 * b06); |
| 592 | inverse->fMat[3][2] = SkDoubleToMScalar(a31 * b01 - a30 * b03 - a32 * b00); |
| 593 | inverse->fMat[3][3] = 1; |
| 594 | |
| 595 | inverse->setTypeMask(this->getType()); |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 596 | if (!is_matrix_finite(*inverse)) { |
| 597 | return false; |
| 598 | } |
| 599 | if (storage && inverse != storage) { |
| 600 | *storage = *inverse; |
| 601 | } |
shawnsingh@chromium.org | b6823c1 | 2013-08-22 20:24:21 +0000 | [diff] [blame] | 602 | return true; |
| 603 | } |
| 604 | |
tomhudson@google.com | 9973a8a | 2012-12-13 09:55:42 +0000 | [diff] [blame] | 605 | double b00 = a00 * a11 - a01 * a10; |
| 606 | double b01 = a00 * a12 - a02 * a10; |
| 607 | double b02 = a00 * a13 - a03 * a10; |
| 608 | double b03 = a01 * a12 - a02 * a11; |
| 609 | double b04 = a01 * a13 - a03 * a11; |
| 610 | double b05 = a02 * a13 - a03 * a12; |
| 611 | double b06 = a20 * a31 - a21 * a30; |
| 612 | double b07 = a20 * a32 - a22 * a30; |
| 613 | double b08 = a20 * a33 - a23 * a30; |
| 614 | double b09 = a21 * a32 - a22 * a31; |
| 615 | double b10 = a21 * a33 - a23 * a31; |
| 616 | double b11 = a22 * a33 - a23 * a32; |
| 617 | |
| 618 | // Calculate the determinant |
| 619 | double det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; |
| 620 | |
commit-bot@chromium.org | f02f078 | 2013-08-20 15:25:04 +0000 | [diff] [blame] | 621 | double invdet = 1.0 / det; |
| 622 | // If det is zero, we want to return false. However, we also want to return false |
| 623 | // if 1/det overflows to infinity (i.e. det is denormalized). Both of these are |
| 624 | // handled by checking that 1/det is finite. |
| 625 | if (!sk_float_isfinite(invdet)) { |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 626 | return false; |
| 627 | } |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 628 | |
tomhudson@google.com | 9973a8a | 2012-12-13 09:55:42 +0000 | [diff] [blame] | 629 | b00 *= invdet; |
| 630 | b01 *= invdet; |
| 631 | b02 *= invdet; |
| 632 | b03 *= invdet; |
| 633 | b04 *= invdet; |
| 634 | b05 *= invdet; |
| 635 | b06 *= invdet; |
| 636 | b07 *= invdet; |
| 637 | b08 *= invdet; |
| 638 | b09 *= invdet; |
| 639 | b10 *= invdet; |
| 640 | b11 *= invdet; |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 641 | |
tomhudson@google.com | 9973a8a | 2012-12-13 09:55:42 +0000 | [diff] [blame] | 642 | inverse->fMat[0][0] = SkDoubleToMScalar(a11 * b11 - a12 * b10 + a13 * b09); |
| 643 | inverse->fMat[0][1] = SkDoubleToMScalar(a02 * b10 - a01 * b11 - a03 * b09); |
| 644 | inverse->fMat[0][2] = SkDoubleToMScalar(a31 * b05 - a32 * b04 + a33 * b03); |
| 645 | inverse->fMat[0][3] = SkDoubleToMScalar(a22 * b04 - a21 * b05 - a23 * b03); |
| 646 | inverse->fMat[1][0] = SkDoubleToMScalar(a12 * b08 - a10 * b11 - a13 * b07); |
| 647 | inverse->fMat[1][1] = SkDoubleToMScalar(a00 * b11 - a02 * b08 + a03 * b07); |
| 648 | inverse->fMat[1][2] = SkDoubleToMScalar(a32 * b02 - a30 * b05 - a33 * b01); |
| 649 | inverse->fMat[1][3] = SkDoubleToMScalar(a20 * b05 - a22 * b02 + a23 * b01); |
| 650 | inverse->fMat[2][0] = SkDoubleToMScalar(a10 * b10 - a11 * b08 + a13 * b06); |
| 651 | inverse->fMat[2][1] = SkDoubleToMScalar(a01 * b08 - a00 * b10 - a03 * b06); |
| 652 | inverse->fMat[2][2] = SkDoubleToMScalar(a30 * b04 - a31 * b02 + a33 * b00); |
| 653 | inverse->fMat[2][3] = SkDoubleToMScalar(a21 * b02 - a20 * b04 - a23 * b00); |
| 654 | inverse->fMat[3][0] = SkDoubleToMScalar(a11 * b07 - a10 * b09 - a12 * b06); |
| 655 | inverse->fMat[3][1] = SkDoubleToMScalar(a00 * b09 - a01 * b07 + a02 * b06); |
| 656 | inverse->fMat[3][2] = SkDoubleToMScalar(a31 * b01 - a30 * b03 - a32 * b00); |
| 657 | inverse->fMat[3][3] = SkDoubleToMScalar(a20 * b03 - a21 * b01 + a22 * b00); |
| 658 | inverse->dirtyTypeMask(); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 659 | |
vmpstr | a8d4559 | 2015-06-30 13:36:04 -0700 | [diff] [blame^] | 660 | inverse->setTypeMask(this->getType()); |
| 661 | if (!is_matrix_finite(*inverse)) { |
| 662 | return false; |
| 663 | } |
| 664 | if (storage && inverse != storage) { |
| 665 | *storage = *inverse; |
| 666 | } |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 667 | return true; |
| 668 | } |
| 669 | |
| 670 | /////////////////////////////////////////////////////////////////////////////// |
| 671 | |
vollick@chromium.org | 9b21c25 | 2012-11-14 21:33:55 +0000 | [diff] [blame] | 672 | void SkMatrix44::transpose() { |
| 673 | SkTSwap(fMat[0][1], fMat[1][0]); |
| 674 | SkTSwap(fMat[0][2], fMat[2][0]); |
| 675 | SkTSwap(fMat[0][3], fMat[3][0]); |
| 676 | SkTSwap(fMat[1][2], fMat[2][1]); |
| 677 | SkTSwap(fMat[1][3], fMat[3][1]); |
| 678 | SkTSwap(fMat[2][3], fMat[3][2]); |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 679 | |
| 680 | if (!this->isTriviallyIdentity()) { |
| 681 | this->dirtyTypeMask(); |
| 682 | } |
vollick@chromium.org | 9b21c25 | 2012-11-14 21:33:55 +0000 | [diff] [blame] | 683 | } |
| 684 | |
| 685 | /////////////////////////////////////////////////////////////////////////////// |
| 686 | |
reed@google.com | 1ea95be | 2012-11-09 21:39:48 +0000 | [diff] [blame] | 687 | void SkMatrix44::mapScalars(const SkScalar src[4], SkScalar dst[4]) const { |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 688 | SkScalar storage[4]; |
| 689 | SkScalar* result = (src == dst) ? storage : dst; |
| 690 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 691 | for (int i = 0; i < 4; i++) { |
| 692 | SkMScalar value = 0; |
| 693 | for (int j = 0; j < 4; j++) { |
| 694 | value += fMat[j][i] * src[j]; |
| 695 | } |
bsalomon@google.com | 72e49b8 | 2011-10-27 21:47:03 +0000 | [diff] [blame] | 696 | result[i] = SkMScalarToScalar(value); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 697 | } |
skia.committer@gmail.com | 0264fb4 | 2012-12-06 02:01:25 +0000 | [diff] [blame] | 698 | |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 699 | if (storage == result) { |
| 700 | memcpy(dst, storage, sizeof(storage)); |
| 701 | } |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 702 | } |
| 703 | |
reed@google.com | 1ea95be | 2012-11-09 21:39:48 +0000 | [diff] [blame] | 704 | #ifdef SK_MSCALAR_IS_DOUBLE |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 705 | |
reed@google.com | 1ea95be | 2012-11-09 21:39:48 +0000 | [diff] [blame] | 706 | void SkMatrix44::mapMScalars(const SkMScalar src[4], SkMScalar dst[4]) const { |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 707 | SkMScalar storage[4]; |
| 708 | SkMScalar* result = (src == dst) ? storage : dst; |
skia.committer@gmail.com | 0264fb4 | 2012-12-06 02:01:25 +0000 | [diff] [blame] | 709 | |
reed@google.com | 1ea95be | 2012-11-09 21:39:48 +0000 | [diff] [blame] | 710 | for (int i = 0; i < 4; i++) { |
| 711 | SkMScalar value = 0; |
| 712 | for (int j = 0; j < 4; j++) { |
| 713 | value += fMat[j][i] * src[j]; |
| 714 | } |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 715 | result[i] = value; |
reed@google.com | 1ea95be | 2012-11-09 21:39:48 +0000 | [diff] [blame] | 716 | } |
skia.committer@gmail.com | 0264fb4 | 2012-12-06 02:01:25 +0000 | [diff] [blame] | 717 | |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 718 | if (storage == result) { |
| 719 | memcpy(dst, storage, sizeof(storage)); |
| 720 | } |
reed@google.com | 1ea95be | 2012-11-09 21:39:48 +0000 | [diff] [blame] | 721 | } |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 722 | |
reed@google.com | 1ea95be | 2012-11-09 21:39:48 +0000 | [diff] [blame] | 723 | #endif |
| 724 | |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 725 | typedef void (*Map2Procf)(const SkMScalar mat[][4], const float src2[], int count, float dst4[]); |
| 726 | typedef void (*Map2Procd)(const SkMScalar mat[][4], const double src2[], int count, double dst4[]); |
| 727 | |
| 728 | static void map2_if(const SkMScalar mat[][4], const float* SK_RESTRICT src2, |
| 729 | int count, float* SK_RESTRICT dst4) { |
| 730 | for (int i = 0; i < count; ++i) { |
| 731 | dst4[0] = src2[0]; |
| 732 | dst4[1] = src2[1]; |
| 733 | dst4[2] = 0; |
| 734 | dst4[3] = 1; |
| 735 | src2 += 2; |
| 736 | dst4 += 4; |
| 737 | } |
| 738 | } |
| 739 | |
| 740 | static void map2_id(const SkMScalar mat[][4], const double* SK_RESTRICT src2, |
| 741 | int count, double* SK_RESTRICT dst4) { |
| 742 | for (int i = 0; i < count; ++i) { |
| 743 | dst4[0] = src2[0]; |
| 744 | dst4[1] = src2[1]; |
| 745 | dst4[2] = 0; |
| 746 | dst4[3] = 1; |
| 747 | src2 += 2; |
| 748 | dst4 += 4; |
| 749 | } |
| 750 | } |
| 751 | |
| 752 | static void map2_tf(const SkMScalar mat[][4], const float* SK_RESTRICT src2, |
| 753 | int count, float* SK_RESTRICT dst4) { |
| 754 | const float mat30 = SkMScalarToFloat(mat[3][0]); |
| 755 | const float mat31 = SkMScalarToFloat(mat[3][1]); |
| 756 | const float mat32 = SkMScalarToFloat(mat[3][2]); |
| 757 | for (int n = 0; n < count; ++n) { |
| 758 | dst4[0] = src2[0] + mat30; |
| 759 | dst4[1] = src2[1] + mat31; |
| 760 | dst4[2] = mat32; |
| 761 | dst4[3] = 1; |
| 762 | src2 += 2; |
| 763 | dst4 += 4; |
| 764 | } |
| 765 | } |
| 766 | |
| 767 | static void map2_td(const SkMScalar mat[][4], const double* SK_RESTRICT src2, |
| 768 | int count, double* SK_RESTRICT dst4) { |
| 769 | for (int n = 0; n < count; ++n) { |
| 770 | dst4[0] = src2[0] + mat[3][0]; |
| 771 | dst4[1] = src2[1] + mat[3][1]; |
| 772 | dst4[2] = mat[3][2]; |
| 773 | dst4[3] = 1; |
| 774 | src2 += 2; |
| 775 | dst4 += 4; |
| 776 | } |
| 777 | } |
| 778 | |
| 779 | static void map2_sf(const SkMScalar mat[][4], const float* SK_RESTRICT src2, |
| 780 | int count, float* SK_RESTRICT dst4) { |
| 781 | const float mat32 = SkMScalarToFloat(mat[3][2]); |
| 782 | for (int n = 0; n < count; ++n) { |
| 783 | dst4[0] = SkMScalarToFloat(mat[0][0] * src2[0] + mat[3][0]); |
| 784 | dst4[1] = SkMScalarToFloat(mat[1][1] * src2[1] + mat[3][1]); |
| 785 | dst4[2] = mat32; |
| 786 | dst4[3] = 1; |
| 787 | src2 += 2; |
| 788 | dst4 += 4; |
| 789 | } |
| 790 | } |
| 791 | |
| 792 | static void map2_sd(const SkMScalar mat[][4], const double* SK_RESTRICT src2, |
| 793 | int count, double* SK_RESTRICT dst4) { |
| 794 | for (int n = 0; n < count; ++n) { |
| 795 | dst4[0] = mat[0][0] * src2[0] + mat[3][0]; |
| 796 | dst4[1] = mat[1][1] * src2[1] + mat[3][1]; |
| 797 | dst4[2] = mat[3][2]; |
| 798 | dst4[3] = 1; |
| 799 | src2 += 2; |
| 800 | dst4 += 4; |
| 801 | } |
| 802 | } |
| 803 | |
| 804 | static void map2_af(const SkMScalar mat[][4], const float* SK_RESTRICT src2, |
| 805 | int count, float* SK_RESTRICT dst4) { |
commit-bot@chromium.org | 658e28b | 2013-10-29 21:08:51 +0000 | [diff] [blame] | 806 | SkMScalar r; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 807 | for (int n = 0; n < count; ++n) { |
commit-bot@chromium.org | 658e28b | 2013-10-29 21:08:51 +0000 | [diff] [blame] | 808 | SkMScalar sx = SkFloatToMScalar(src2[0]); |
| 809 | SkMScalar sy = SkFloatToMScalar(src2[1]); |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 810 | r = mat[0][0] * sx + mat[1][0] * sy + mat[3][0]; |
| 811 | dst4[0] = SkMScalarToFloat(r); |
| 812 | r = mat[0][1] * sx + mat[1][1] * sy + mat[3][1]; |
| 813 | dst4[1] = SkMScalarToFloat(r); |
| 814 | r = mat[0][2] * sx + mat[1][2] * sy + mat[3][2]; |
| 815 | dst4[2] = SkMScalarToFloat(r); |
| 816 | dst4[3] = 1; |
| 817 | src2 += 2; |
| 818 | dst4 += 4; |
| 819 | } |
| 820 | } |
| 821 | |
| 822 | static void map2_ad(const SkMScalar mat[][4], const double* SK_RESTRICT src2, |
| 823 | int count, double* SK_RESTRICT dst4) { |
| 824 | for (int n = 0; n < count; ++n) { |
| 825 | double sx = src2[0]; |
| 826 | double sy = src2[1]; |
| 827 | dst4[0] = mat[0][0] * sx + mat[1][0] * sy + mat[3][0]; |
| 828 | dst4[1] = mat[0][1] * sx + mat[1][1] * sy + mat[3][1]; |
| 829 | dst4[2] = mat[0][2] * sx + mat[1][2] * sy + mat[3][2]; |
| 830 | dst4[3] = 1; |
| 831 | src2 += 2; |
| 832 | dst4 += 4; |
| 833 | } |
| 834 | } |
| 835 | |
| 836 | static void map2_pf(const SkMScalar mat[][4], const float* SK_RESTRICT src2, |
| 837 | int count, float* SK_RESTRICT dst4) { |
commit-bot@chromium.org | 658e28b | 2013-10-29 21:08:51 +0000 | [diff] [blame] | 838 | SkMScalar r; |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 839 | for (int n = 0; n < count; ++n) { |
commit-bot@chromium.org | 658e28b | 2013-10-29 21:08:51 +0000 | [diff] [blame] | 840 | SkMScalar sx = SkFloatToMScalar(src2[0]); |
| 841 | SkMScalar sy = SkFloatToMScalar(src2[1]); |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 842 | for (int i = 0; i < 4; i++) { |
commit-bot@chromium.org | 658e28b | 2013-10-29 21:08:51 +0000 | [diff] [blame] | 843 | r = mat[0][i] * sx + mat[1][i] * sy + mat[3][i]; |
| 844 | dst4[i] = SkMScalarToFloat(r); |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 845 | } |
| 846 | src2 += 2; |
| 847 | dst4 += 4; |
| 848 | } |
| 849 | } |
| 850 | |
| 851 | static void map2_pd(const SkMScalar mat[][4], const double* SK_RESTRICT src2, |
| 852 | int count, double* SK_RESTRICT dst4) { |
| 853 | for (int n = 0; n < count; ++n) { |
| 854 | double sx = src2[0]; |
| 855 | double sy = src2[1]; |
| 856 | for (int i = 0; i < 4; i++) { |
| 857 | dst4[i] = mat[0][i] * sx + mat[1][i] * sy + mat[3][i]; |
| 858 | } |
| 859 | src2 += 2; |
| 860 | dst4 += 4; |
| 861 | } |
| 862 | } |
| 863 | |
| 864 | void SkMatrix44::map2(const float src2[], int count, float dst4[]) const { |
| 865 | static const Map2Procf gProc[] = { |
| 866 | map2_if, map2_tf, map2_sf, map2_sf, map2_af, map2_af, map2_af, map2_af |
| 867 | }; |
| 868 | |
| 869 | TypeMask mask = this->getType(); |
| 870 | Map2Procf proc = (mask & kPerspective_Mask) ? map2_pf : gProc[mask]; |
| 871 | proc(fMat, src2, count, dst4); |
| 872 | } |
| 873 | |
| 874 | void SkMatrix44::map2(const double src2[], int count, double dst4[]) const { |
| 875 | static const Map2Procd gProc[] = { |
| 876 | map2_id, map2_td, map2_sd, map2_sd, map2_ad, map2_ad, map2_ad, map2_ad |
| 877 | }; |
skia.committer@gmail.com | 0264fb4 | 2012-12-06 02:01:25 +0000 | [diff] [blame] | 878 | |
reed@google.com | 99b5c7f | 2012-12-05 22:13:59 +0000 | [diff] [blame] | 879 | TypeMask mask = this->getType(); |
| 880 | Map2Procd proc = (mask & kPerspective_Mask) ? map2_pd : gProc[mask]; |
| 881 | proc(fMat, src2, count, dst4); |
| 882 | } |
| 883 | |
tomhudson | faccb8e | 2014-09-26 11:45:48 -0700 | [diff] [blame] | 884 | bool SkMatrix44::preserves2dAxisAlignment (SkMScalar epsilon) const { |
| 885 | |
| 886 | // Can't check (mask & kPerspective_Mask) because Z isn't relevant here. |
| 887 | if (0 != perspX() || 0 != perspY()) return false; |
| 888 | |
| 889 | // A matrix with two non-zeroish values in any of the upper right |
| 890 | // rows or columns will skew. If only one value in each row or |
| 891 | // column is non-zeroish, we get a scale plus perhaps a 90-degree |
| 892 | // rotation. |
| 893 | int col0 = 0; |
| 894 | int col1 = 0; |
| 895 | int row0 = 0; |
| 896 | int row1 = 0; |
| 897 | |
| 898 | // Must test against epsilon, not 0, because we can get values |
| 899 | // around 6e-17 in the matrix that "should" be 0. |
| 900 | |
| 901 | if (SkMScalarAbs(fMat[0][0]) > epsilon) { |
| 902 | col0++; |
| 903 | row0++; |
| 904 | } |
| 905 | if (SkMScalarAbs(fMat[0][1]) > epsilon) { |
| 906 | col1++; |
| 907 | row0++; |
| 908 | } |
| 909 | if (SkMScalarAbs(fMat[1][0]) > epsilon) { |
| 910 | col0++; |
| 911 | row1++; |
| 912 | } |
| 913 | if (SkMScalarAbs(fMat[1][1]) > epsilon) { |
| 914 | col1++; |
| 915 | row1++; |
| 916 | } |
| 917 | if (col0 > 1 || col1 > 1 || row0 > 1 || row1 > 1) { |
| 918 | return false; |
| 919 | } |
| 920 | |
| 921 | return true; |
| 922 | } |
| 923 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 924 | /////////////////////////////////////////////////////////////////////////////// |
| 925 | |
| 926 | void SkMatrix44::dump() const { |
tomhudson@google.com | 9ac4a89 | 2011-06-28 13:53:13 +0000 | [diff] [blame] | 927 | static const char* format = |
| 928 | "[%g %g %g %g][%g %g %g %g][%g %g %g %g][%g %g %g %g]\n"; |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 929 | #if 0 |
tomhudson@google.com | 9ac4a89 | 2011-06-28 13:53:13 +0000 | [diff] [blame] | 930 | SkDebugf(format, |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 931 | fMat[0][0], fMat[1][0], fMat[2][0], fMat[3][0], |
| 932 | fMat[0][1], fMat[1][1], fMat[2][1], fMat[3][1], |
| 933 | fMat[0][2], fMat[1][2], fMat[2][2], fMat[3][2], |
| 934 | fMat[0][3], fMat[1][3], fMat[2][3], fMat[3][3]); |
tomhudson@google.com | 9ac4a89 | 2011-06-28 13:53:13 +0000 | [diff] [blame] | 935 | #else |
| 936 | SkDebugf(format, |
| 937 | fMat[0][0], fMat[0][1], fMat[0][2], fMat[0][3], |
| 938 | fMat[1][0], fMat[1][1], fMat[1][2], fMat[1][3], |
| 939 | fMat[2][0], fMat[2][1], fMat[2][2], fMat[2][3], |
| 940 | fMat[3][0], fMat[3][1], fMat[3][2], fMat[3][3]); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 941 | #endif |
| 942 | } |
| 943 | |
| 944 | /////////////////////////////////////////////////////////////////////////////// |
| 945 | |
| 946 | static void initFromMatrix(SkMScalar dst[4][4], const SkMatrix& src) { |
bsalomon@google.com | 72e49b8 | 2011-10-27 21:47:03 +0000 | [diff] [blame] | 947 | dst[0][0] = SkScalarToMScalar(src[SkMatrix::kMScaleX]); |
| 948 | dst[1][0] = SkScalarToMScalar(src[SkMatrix::kMSkewX]); |
shawnsingh@chromium.org | 5a6cd35 | 2013-08-28 18:55:25 +0000 | [diff] [blame] | 949 | dst[2][0] = 0; |
bsalomon@google.com | 72e49b8 | 2011-10-27 21:47:03 +0000 | [diff] [blame] | 950 | dst[3][0] = SkScalarToMScalar(src[SkMatrix::kMTransX]); |
| 951 | dst[0][1] = SkScalarToMScalar(src[SkMatrix::kMSkewY]); |
| 952 | dst[1][1] = SkScalarToMScalar(src[SkMatrix::kMScaleY]); |
shawnsingh@chromium.org | 5a6cd35 | 2013-08-28 18:55:25 +0000 | [diff] [blame] | 953 | dst[2][1] = 0; |
bsalomon@google.com | 72e49b8 | 2011-10-27 21:47:03 +0000 | [diff] [blame] | 954 | dst[3][1] = SkScalarToMScalar(src[SkMatrix::kMTransY]); |
shawnsingh@chromium.org | 5a6cd35 | 2013-08-28 18:55:25 +0000 | [diff] [blame] | 955 | dst[0][2] = 0; |
| 956 | dst[1][2] = 0; |
| 957 | dst[2][2] = 1; |
| 958 | dst[3][2] = 0; |
commit-bot@chromium.org | 722555b | 2013-10-05 01:16:30 +0000 | [diff] [blame] | 959 | dst[0][3] = SkScalarToMScalar(src[SkMatrix::kMPersp0]); |
| 960 | dst[1][3] = SkScalarToMScalar(src[SkMatrix::kMPersp1]); |
shawnsingh@chromium.org | 5a6cd35 | 2013-08-28 18:55:25 +0000 | [diff] [blame] | 961 | dst[2][3] = 0; |
commit-bot@chromium.org | 722555b | 2013-10-05 01:16:30 +0000 | [diff] [blame] | 962 | dst[3][3] = SkScalarToMScalar(src[SkMatrix::kMPersp2]); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 963 | } |
| 964 | |
| 965 | SkMatrix44::SkMatrix44(const SkMatrix& src) { |
fs | 88640cf | 2014-12-16 08:36:11 -0800 | [diff] [blame] | 966 | this->operator=(src); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 967 | } |
| 968 | |
| 969 | SkMatrix44& SkMatrix44::operator=(const SkMatrix& src) { |
| 970 | initFromMatrix(fMat, src); |
reed@google.com | 7d68335 | 2012-12-03 21:19:52 +0000 | [diff] [blame] | 971 | |
| 972 | if (src.isIdentity()) { |
| 973 | this->setTypeMask(kIdentity_Mask); |
| 974 | } else { |
| 975 | this->dirtyTypeMask(); |
| 976 | } |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 977 | return *this; |
| 978 | } |
| 979 | |
| 980 | SkMatrix44::operator SkMatrix() const { |
| 981 | SkMatrix dst; |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 982 | |
bsalomon@google.com | 72e49b8 | 2011-10-27 21:47:03 +0000 | [diff] [blame] | 983 | dst[SkMatrix::kMScaleX] = SkMScalarToScalar(fMat[0][0]); |
| 984 | dst[SkMatrix::kMSkewX] = SkMScalarToScalar(fMat[1][0]); |
| 985 | dst[SkMatrix::kMTransX] = SkMScalarToScalar(fMat[3][0]); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 986 | |
bsalomon@google.com | 72e49b8 | 2011-10-27 21:47:03 +0000 | [diff] [blame] | 987 | dst[SkMatrix::kMSkewY] = SkMScalarToScalar(fMat[0][1]); |
| 988 | dst[SkMatrix::kMScaleY] = SkMScalarToScalar(fMat[1][1]); |
| 989 | dst[SkMatrix::kMTransY] = SkMScalarToScalar(fMat[3][1]); |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 990 | |
commit-bot@chromium.org | 722555b | 2013-10-05 01:16:30 +0000 | [diff] [blame] | 991 | dst[SkMatrix::kMPersp0] = SkMScalarToScalar(fMat[0][3]); |
| 992 | dst[SkMatrix::kMPersp1] = SkMScalarToScalar(fMat[1][3]); |
| 993 | dst[SkMatrix::kMPersp2] = SkMScalarToScalar(fMat[3][3]); |
| 994 | |
reed@google.com | 8260a89 | 2011-06-13 14:02:52 +0000 | [diff] [blame] | 995 | return dst; |
| 996 | } |