Sat, 03 Jan 2015 20:18:00 +0100
Conditionally enable double key logic according to:
private browsing mode or privacy.thirdparty.isolate preference and
implement in GetCookieStringCommon and FindCookie where it counts...
With some reservations of how to convince FindCookie users to test
condition and pass a nullptr when disabling double key logic.
michael@0 | 1 | /* |
michael@0 | 2 | * Copyright 2012 Google Inc. |
michael@0 | 3 | * |
michael@0 | 4 | * Use of this source code is governed by a BSD-style license that can be |
michael@0 | 5 | * found in the LICENSE file. |
michael@0 | 6 | */ |
michael@0 | 7 | #include "SkReduceOrder.h" |
michael@0 | 8 | |
michael@0 | 9 | int SkReduceOrder::reduce(const SkDLine& line) { |
michael@0 | 10 | fLine[0] = line[0]; |
michael@0 | 11 | int different = line[0] != line[1]; |
michael@0 | 12 | fLine[1] = line[different]; |
michael@0 | 13 | return 1 + different; |
michael@0 | 14 | } |
michael@0 | 15 | |
michael@0 | 16 | static int coincident_line(const SkDQuad& quad, SkDQuad& reduction) { |
michael@0 | 17 | reduction[0] = reduction[1] = quad[0]; |
michael@0 | 18 | return 1; |
michael@0 | 19 | } |
michael@0 | 20 | |
michael@0 | 21 | static int reductionLineCount(const SkDQuad& reduction) { |
michael@0 | 22 | return 1 + !reduction[0].approximatelyEqual(reduction[1]); |
michael@0 | 23 | } |
michael@0 | 24 | |
michael@0 | 25 | static int vertical_line(const SkDQuad& quad, SkDQuad& reduction) { |
michael@0 | 26 | reduction[0] = quad[0]; |
michael@0 | 27 | reduction[1] = quad[2]; |
michael@0 | 28 | return reductionLineCount(reduction); |
michael@0 | 29 | } |
michael@0 | 30 | |
michael@0 | 31 | static int horizontal_line(const SkDQuad& quad, SkDQuad& reduction) { |
michael@0 | 32 | reduction[0] = quad[0]; |
michael@0 | 33 | reduction[1] = quad[2]; |
michael@0 | 34 | return reductionLineCount(reduction); |
michael@0 | 35 | } |
michael@0 | 36 | |
michael@0 | 37 | static int check_linear(const SkDQuad& quad, |
michael@0 | 38 | int minX, int maxX, int minY, int maxY, SkDQuad& reduction) { |
michael@0 | 39 | int startIndex = 0; |
michael@0 | 40 | int endIndex = 2; |
michael@0 | 41 | while (quad[startIndex].approximatelyEqual(quad[endIndex])) { |
michael@0 | 42 | --endIndex; |
michael@0 | 43 | if (endIndex == 0) { |
michael@0 | 44 | SkDebugf("%s shouldn't get here if all four points are about equal", __FUNCTION__); |
michael@0 | 45 | SkASSERT(0); |
michael@0 | 46 | } |
michael@0 | 47 | } |
michael@0 | 48 | if (!quad.isLinear(startIndex, endIndex)) { |
michael@0 | 49 | return 0; |
michael@0 | 50 | } |
michael@0 | 51 | // four are colinear: return line formed by outside |
michael@0 | 52 | reduction[0] = quad[0]; |
michael@0 | 53 | reduction[1] = quad[2]; |
michael@0 | 54 | return reductionLineCount(reduction); |
michael@0 | 55 | } |
michael@0 | 56 | |
michael@0 | 57 | // reduce to a quadratic or smaller |
michael@0 | 58 | // look for identical points |
michael@0 | 59 | // look for all four points in a line |
michael@0 | 60 | // note that three points in a line doesn't simplify a cubic |
michael@0 | 61 | // look for approximation with single quadratic |
michael@0 | 62 | // save approximation with multiple quadratics for later |
michael@0 | 63 | int SkReduceOrder::reduce(const SkDQuad& quad) { |
michael@0 | 64 | int index, minX, maxX, minY, maxY; |
michael@0 | 65 | int minXSet, minYSet; |
michael@0 | 66 | minX = maxX = minY = maxY = 0; |
michael@0 | 67 | minXSet = minYSet = 0; |
michael@0 | 68 | for (index = 1; index < 3; ++index) { |
michael@0 | 69 | if (quad[minX].fX > quad[index].fX) { |
michael@0 | 70 | minX = index; |
michael@0 | 71 | } |
michael@0 | 72 | if (quad[minY].fY > quad[index].fY) { |
michael@0 | 73 | minY = index; |
michael@0 | 74 | } |
michael@0 | 75 | if (quad[maxX].fX < quad[index].fX) { |
michael@0 | 76 | maxX = index; |
michael@0 | 77 | } |
michael@0 | 78 | if (quad[maxY].fY < quad[index].fY) { |
michael@0 | 79 | maxY = index; |
michael@0 | 80 | } |
michael@0 | 81 | } |
michael@0 | 82 | for (index = 0; index < 3; ++index) { |
michael@0 | 83 | if (AlmostEqualUlps(quad[index].fX, quad[minX].fX)) { |
michael@0 | 84 | minXSet |= 1 << index; |
michael@0 | 85 | } |
michael@0 | 86 | if (AlmostEqualUlps(quad[index].fY, quad[minY].fY)) { |
michael@0 | 87 | minYSet |= 1 << index; |
michael@0 | 88 | } |
michael@0 | 89 | } |
michael@0 | 90 | if (minXSet == 0x7) { // test for vertical line |
michael@0 | 91 | if (minYSet == 0x7) { // return 1 if all four are coincident |
michael@0 | 92 | return coincident_line(quad, fQuad); |
michael@0 | 93 | } |
michael@0 | 94 | return vertical_line(quad, fQuad); |
michael@0 | 95 | } |
michael@0 | 96 | if (minYSet == 0xF) { // test for horizontal line |
michael@0 | 97 | return horizontal_line(quad, fQuad); |
michael@0 | 98 | } |
michael@0 | 99 | int result = check_linear(quad, minX, maxX, minY, maxY, fQuad); |
michael@0 | 100 | if (result) { |
michael@0 | 101 | return result; |
michael@0 | 102 | } |
michael@0 | 103 | fQuad = quad; |
michael@0 | 104 | return 3; |
michael@0 | 105 | } |
michael@0 | 106 | |
michael@0 | 107 | //////////////////////////////////////////////////////////////////////////////////// |
michael@0 | 108 | |
michael@0 | 109 | static int coincident_line(const SkDCubic& cubic, SkDCubic& reduction) { |
michael@0 | 110 | reduction[0] = reduction[1] = cubic[0]; |
michael@0 | 111 | return 1; |
michael@0 | 112 | } |
michael@0 | 113 | |
michael@0 | 114 | static int reductionLineCount(const SkDCubic& reduction) { |
michael@0 | 115 | return 1 + !reduction[0].approximatelyEqual(reduction[1]); |
michael@0 | 116 | } |
michael@0 | 117 | |
michael@0 | 118 | static int vertical_line(const SkDCubic& cubic, SkDCubic& reduction) { |
michael@0 | 119 | reduction[0] = cubic[0]; |
michael@0 | 120 | reduction[1] = cubic[3]; |
michael@0 | 121 | return reductionLineCount(reduction); |
michael@0 | 122 | } |
michael@0 | 123 | |
michael@0 | 124 | static int horizontal_line(const SkDCubic& cubic, SkDCubic& reduction) { |
michael@0 | 125 | reduction[0] = cubic[0]; |
michael@0 | 126 | reduction[1] = cubic[3]; |
michael@0 | 127 | return reductionLineCount(reduction); |
michael@0 | 128 | } |
michael@0 | 129 | |
michael@0 | 130 | // check to see if it is a quadratic or a line |
michael@0 | 131 | static int check_quadratic(const SkDCubic& cubic, SkDCubic& reduction) { |
michael@0 | 132 | double dx10 = cubic[1].fX - cubic[0].fX; |
michael@0 | 133 | double dx23 = cubic[2].fX - cubic[3].fX; |
michael@0 | 134 | double midX = cubic[0].fX + dx10 * 3 / 2; |
michael@0 | 135 | double sideAx = midX - cubic[3].fX; |
michael@0 | 136 | double sideBx = dx23 * 3 / 2; |
michael@0 | 137 | if (approximately_zero(sideAx) ? !approximately_equal(sideAx, sideBx) |
michael@0 | 138 | : !AlmostEqualUlps(sideAx, sideBx)) { |
michael@0 | 139 | return 0; |
michael@0 | 140 | } |
michael@0 | 141 | double dy10 = cubic[1].fY - cubic[0].fY; |
michael@0 | 142 | double dy23 = cubic[2].fY - cubic[3].fY; |
michael@0 | 143 | double midY = cubic[0].fY + dy10 * 3 / 2; |
michael@0 | 144 | double sideAy = midY - cubic[3].fY; |
michael@0 | 145 | double sideBy = dy23 * 3 / 2; |
michael@0 | 146 | if (approximately_zero(sideAy) ? !approximately_equal(sideAy, sideBy) |
michael@0 | 147 | : !AlmostEqualUlps(sideAy, sideBy)) { |
michael@0 | 148 | return 0; |
michael@0 | 149 | } |
michael@0 | 150 | reduction[0] = cubic[0]; |
michael@0 | 151 | reduction[1].fX = midX; |
michael@0 | 152 | reduction[1].fY = midY; |
michael@0 | 153 | reduction[2] = cubic[3]; |
michael@0 | 154 | return 3; |
michael@0 | 155 | } |
michael@0 | 156 | |
michael@0 | 157 | static int check_linear(const SkDCubic& cubic, |
michael@0 | 158 | int minX, int maxX, int minY, int maxY, SkDCubic& reduction) { |
michael@0 | 159 | int startIndex = 0; |
michael@0 | 160 | int endIndex = 3; |
michael@0 | 161 | while (cubic[startIndex].approximatelyEqual(cubic[endIndex])) { |
michael@0 | 162 | --endIndex; |
michael@0 | 163 | if (endIndex == 0) { |
michael@0 | 164 | SkDebugf("%s shouldn't get here if all four points are about equal\n", __FUNCTION__); |
michael@0 | 165 | SkASSERT(0); |
michael@0 | 166 | } |
michael@0 | 167 | } |
michael@0 | 168 | if (!cubic.isLinear(startIndex, endIndex)) { |
michael@0 | 169 | return 0; |
michael@0 | 170 | } |
michael@0 | 171 | // four are colinear: return line formed by outside |
michael@0 | 172 | reduction[0] = cubic[0]; |
michael@0 | 173 | reduction[1] = cubic[3]; |
michael@0 | 174 | return reductionLineCount(reduction); |
michael@0 | 175 | } |
michael@0 | 176 | |
michael@0 | 177 | /* food for thought: |
michael@0 | 178 | http://objectmix.com/graphics/132906-fast-precision-driven-cubic-quadratic-piecewise-degree-reduction-algos-2-a.html |
michael@0 | 179 | |
michael@0 | 180 | Given points c1, c2, c3 and c4 of a cubic Bezier, the points of the |
michael@0 | 181 | corresponding quadratic Bezier are (given in convex combinations of |
michael@0 | 182 | points): |
michael@0 | 183 | |
michael@0 | 184 | q1 = (11/13)c1 + (3/13)c2 -(3/13)c3 + (2/13)c4 |
michael@0 | 185 | q2 = -c1 + (3/2)c2 + (3/2)c3 - c4 |
michael@0 | 186 | q3 = (2/13)c1 - (3/13)c2 + (3/13)c3 + (11/13)c4 |
michael@0 | 187 | |
michael@0 | 188 | Of course, this curve does not interpolate the end-points, but it would |
michael@0 | 189 | be interesting to see the behaviour of such a curve in an applet. |
michael@0 | 190 | |
michael@0 | 191 | -- |
michael@0 | 192 | Kalle Rutanen |
michael@0 | 193 | http://kaba.hilvi.org |
michael@0 | 194 | |
michael@0 | 195 | */ |
michael@0 | 196 | |
michael@0 | 197 | // reduce to a quadratic or smaller |
michael@0 | 198 | // look for identical points |
michael@0 | 199 | // look for all four points in a line |
michael@0 | 200 | // note that three points in a line doesn't simplify a cubic |
michael@0 | 201 | // look for approximation with single quadratic |
michael@0 | 202 | // save approximation with multiple quadratics for later |
michael@0 | 203 | int SkReduceOrder::reduce(const SkDCubic& cubic, Quadratics allowQuadratics) { |
michael@0 | 204 | int index, minX, maxX, minY, maxY; |
michael@0 | 205 | int minXSet, minYSet; |
michael@0 | 206 | minX = maxX = minY = maxY = 0; |
michael@0 | 207 | minXSet = minYSet = 0; |
michael@0 | 208 | for (index = 1; index < 4; ++index) { |
michael@0 | 209 | if (cubic[minX].fX > cubic[index].fX) { |
michael@0 | 210 | minX = index; |
michael@0 | 211 | } |
michael@0 | 212 | if (cubic[minY].fY > cubic[index].fY) { |
michael@0 | 213 | minY = index; |
michael@0 | 214 | } |
michael@0 | 215 | if (cubic[maxX].fX < cubic[index].fX) { |
michael@0 | 216 | maxX = index; |
michael@0 | 217 | } |
michael@0 | 218 | if (cubic[maxY].fY < cubic[index].fY) { |
michael@0 | 219 | maxY = index; |
michael@0 | 220 | } |
michael@0 | 221 | } |
michael@0 | 222 | for (index = 0; index < 4; ++index) { |
michael@0 | 223 | double cx = cubic[index].fX; |
michael@0 | 224 | double cy = cubic[index].fY; |
michael@0 | 225 | double denom = SkTMax(fabs(cx), SkTMax(fabs(cy), |
michael@0 | 226 | SkTMax(fabs(cubic[minX].fX), fabs(cubic[minY].fY)))); |
michael@0 | 227 | if (denom == 0) { |
michael@0 | 228 | minXSet |= 1 << index; |
michael@0 | 229 | minYSet |= 1 << index; |
michael@0 | 230 | continue; |
michael@0 | 231 | } |
michael@0 | 232 | double inv = 1 / denom; |
michael@0 | 233 | if (approximately_equal_half(cx * inv, cubic[minX].fX * inv)) { |
michael@0 | 234 | minXSet |= 1 << index; |
michael@0 | 235 | } |
michael@0 | 236 | if (approximately_equal_half(cy * inv, cubic[minY].fY * inv)) { |
michael@0 | 237 | minYSet |= 1 << index; |
michael@0 | 238 | } |
michael@0 | 239 | } |
michael@0 | 240 | if (minXSet == 0xF) { // test for vertical line |
michael@0 | 241 | if (minYSet == 0xF) { // return 1 if all four are coincident |
michael@0 | 242 | return coincident_line(cubic, fCubic); |
michael@0 | 243 | } |
michael@0 | 244 | return vertical_line(cubic, fCubic); |
michael@0 | 245 | } |
michael@0 | 246 | if (minYSet == 0xF) { // test for horizontal line |
michael@0 | 247 | return horizontal_line(cubic, fCubic); |
michael@0 | 248 | } |
michael@0 | 249 | int result = check_linear(cubic, minX, maxX, minY, maxY, fCubic); |
michael@0 | 250 | if (result) { |
michael@0 | 251 | return result; |
michael@0 | 252 | } |
michael@0 | 253 | if (allowQuadratics == SkReduceOrder::kAllow_Quadratics |
michael@0 | 254 | && (result = check_quadratic(cubic, fCubic))) { |
michael@0 | 255 | return result; |
michael@0 | 256 | } |
michael@0 | 257 | fCubic = cubic; |
michael@0 | 258 | return 4; |
michael@0 | 259 | } |
michael@0 | 260 | |
michael@0 | 261 | SkPath::Verb SkReduceOrder::Quad(const SkPoint a[3], SkPoint* reducePts) { |
michael@0 | 262 | SkDQuad quad; |
michael@0 | 263 | quad.set(a); |
michael@0 | 264 | SkReduceOrder reducer; |
michael@0 | 265 | int order = reducer.reduce(quad); |
michael@0 | 266 | if (order == 2) { // quad became line |
michael@0 | 267 | for (int index = 0; index < order; ++index) { |
michael@0 | 268 | *reducePts++ = reducer.fLine[index].asSkPoint(); |
michael@0 | 269 | } |
michael@0 | 270 | } |
michael@0 | 271 | return SkPathOpsPointsToVerb(order - 1); |
michael@0 | 272 | } |
michael@0 | 273 | |
michael@0 | 274 | SkPath::Verb SkReduceOrder::Cubic(const SkPoint a[4], SkPoint* reducePts) { |
michael@0 | 275 | SkDCubic cubic; |
michael@0 | 276 | cubic.set(a); |
michael@0 | 277 | SkReduceOrder reducer; |
michael@0 | 278 | int order = reducer.reduce(cubic, kAllow_Quadratics); |
michael@0 | 279 | if (order == 2 || order == 3) { // cubic became line or quad |
michael@0 | 280 | for (int index = 0; index < order; ++index) { |
michael@0 | 281 | *reducePts++ = reducer.fQuad[index].asSkPoint(); |
michael@0 | 282 | } |
michael@0 | 283 | } |
michael@0 | 284 | return SkPathOpsPointsToVerb(order - 1); |
michael@0 | 285 | } |