epoger@google.com | ec3ed6a | 2011-07-28 14:26:00 +0000 | [diff] [blame] | 1 | |
| 2 | /* |
| 3 | * Copyright 2006 The Android Open Source Project |
| 4 | * |
| 5 | * Use of this source code is governed by a BSD-style license that can be |
| 6 | * found in the LICENSE file. |
| 7 | */ |
| 8 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 9 | |
| 10 | #include "SkStrokerPriv.h" |
| 11 | #include "SkGeometry.h" |
| 12 | #include "SkPath.h" |
| 13 | |
| 14 | static void ButtCapper(SkPath* path, const SkPoint& pivot, |
| 15 | const SkVector& normal, const SkPoint& stop, |
| 16 | SkPath*) |
| 17 | { |
| 18 | path->lineTo(stop.fX, stop.fY); |
| 19 | } |
| 20 | |
| 21 | static void RoundCapper(SkPath* path, const SkPoint& pivot, |
| 22 | const SkVector& normal, const SkPoint& stop, |
| 23 | SkPath*) |
| 24 | { |
| 25 | SkScalar px = pivot.fX; |
| 26 | SkScalar py = pivot.fY; |
| 27 | SkScalar nx = normal.fX; |
| 28 | SkScalar ny = normal.fY; |
| 29 | SkScalar sx = SkScalarMul(nx, CUBIC_ARC_FACTOR); |
| 30 | SkScalar sy = SkScalarMul(ny, CUBIC_ARC_FACTOR); |
| 31 | |
| 32 | path->cubicTo(px + nx + CWX(sx, sy), py + ny + CWY(sx, sy), |
| 33 | px + CWX(nx, ny) + sx, py + CWY(nx, ny) + sy, |
| 34 | px + CWX(nx, ny), py + CWY(nx, ny)); |
| 35 | path->cubicTo(px + CWX(nx, ny) - sx, py + CWY(nx, ny) - sy, |
| 36 | px - nx + CWX(sx, sy), py - ny + CWY(sx, sy), |
| 37 | stop.fX, stop.fY); |
| 38 | } |
| 39 | |
| 40 | static void SquareCapper(SkPath* path, const SkPoint& pivot, |
| 41 | const SkVector& normal, const SkPoint& stop, |
| 42 | SkPath* otherPath) |
| 43 | { |
| 44 | SkVector parallel; |
| 45 | normal.rotateCW(¶llel); |
| 46 | |
| 47 | if (otherPath) |
| 48 | { |
| 49 | path->setLastPt(pivot.fX + normal.fX + parallel.fX, pivot.fY + normal.fY + parallel.fY); |
| 50 | path->lineTo(pivot.fX - normal.fX + parallel.fX, pivot.fY - normal.fY + parallel.fY); |
| 51 | } |
| 52 | else |
| 53 | { |
| 54 | path->lineTo(pivot.fX + normal.fX + parallel.fX, pivot.fY + normal.fY + parallel.fY); |
| 55 | path->lineTo(pivot.fX - normal.fX + parallel.fX, pivot.fY - normal.fY + parallel.fY); |
| 56 | path->lineTo(stop.fX, stop.fY); |
| 57 | } |
| 58 | } |
| 59 | |
| 60 | ///////////////////////////////////////////////////////////////////////////// |
| 61 | |
| 62 | static bool is_clockwise(const SkVector& before, const SkVector& after) |
| 63 | { |
| 64 | return SkScalarMul(before.fX, after.fY) - SkScalarMul(before.fY, after.fX) > 0; |
| 65 | } |
| 66 | |
| 67 | enum AngleType { |
| 68 | kNearly180_AngleType, |
| 69 | kSharp_AngleType, |
| 70 | kShallow_AngleType, |
| 71 | kNearlyLine_AngleType |
| 72 | }; |
| 73 | |
| 74 | static AngleType Dot2AngleType(SkScalar dot) |
| 75 | { |
| 76 | // need more precise fixed normalization |
| 77 | // SkASSERT(SkScalarAbs(dot) <= SK_Scalar1 + SK_ScalarNearlyZero); |
| 78 | |
| 79 | if (dot >= 0) // shallow or line |
| 80 | return SkScalarNearlyZero(SK_Scalar1 - dot) ? kNearlyLine_AngleType : kShallow_AngleType; |
| 81 | else // sharp or 180 |
| 82 | return SkScalarNearlyZero(SK_Scalar1 + dot) ? kNearly180_AngleType : kSharp_AngleType; |
| 83 | } |
| 84 | |
| 85 | static void HandleInnerJoin(SkPath* inner, const SkPoint& pivot, const SkVector& after) |
| 86 | { |
| 87 | #if 1 |
| 88 | /* In the degenerate case that the stroke radius is larger than our segments |
| 89 | just connecting the two inner segments may "show through" as a funny |
| 90 | diagonal. To pseudo-fix this, we go through the pivot point. This adds |
| 91 | an extra point/edge, but I can't see a cheap way to know when this is |
| 92 | not needed :( |
| 93 | */ |
| 94 | inner->lineTo(pivot.fX, pivot.fY); |
| 95 | #endif |
| 96 | |
| 97 | inner->lineTo(pivot.fX - after.fX, pivot.fY - after.fY); |
| 98 | } |
| 99 | |
| 100 | static void BluntJoiner(SkPath* outer, SkPath* inner, const SkVector& beforeUnitNormal, |
| 101 | const SkPoint& pivot, const SkVector& afterUnitNormal, |
| 102 | SkScalar radius, SkScalar invMiterLimit, bool, bool) |
| 103 | { |
| 104 | SkVector after; |
| 105 | afterUnitNormal.scale(radius, &after); |
| 106 | |
| 107 | if (!is_clockwise(beforeUnitNormal, afterUnitNormal)) |
| 108 | { |
| 109 | SkTSwap<SkPath*>(outer, inner); |
| 110 | after.negate(); |
| 111 | } |
| 112 | |
| 113 | outer->lineTo(pivot.fX + after.fX, pivot.fY + after.fY); |
| 114 | HandleInnerJoin(inner, pivot, after); |
| 115 | } |
| 116 | |
| 117 | static void RoundJoiner(SkPath* outer, SkPath* inner, const SkVector& beforeUnitNormal, |
| 118 | const SkPoint& pivot, const SkVector& afterUnitNormal, |
| 119 | SkScalar radius, SkScalar invMiterLimit, bool, bool) |
| 120 | { |
| 121 | SkScalar dotProd = SkPoint::DotProduct(beforeUnitNormal, afterUnitNormal); |
| 122 | AngleType angleType = Dot2AngleType(dotProd); |
| 123 | |
| 124 | if (angleType == kNearlyLine_AngleType) |
| 125 | return; |
| 126 | |
| 127 | SkVector before = beforeUnitNormal; |
| 128 | SkVector after = afterUnitNormal; |
| 129 | SkRotationDirection dir = kCW_SkRotationDirection; |
| 130 | |
| 131 | if (!is_clockwise(before, after)) |
| 132 | { |
| 133 | SkTSwap<SkPath*>(outer, inner); |
| 134 | before.negate(); |
| 135 | after.negate(); |
| 136 | dir = kCCW_SkRotationDirection; |
| 137 | } |
| 138 | |
| 139 | SkPoint pts[kSkBuildQuadArcStorage]; |
| 140 | SkMatrix matrix; |
| 141 | matrix.setScale(radius, radius); |
| 142 | matrix.postTranslate(pivot.fX, pivot.fY); |
| 143 | int count = SkBuildQuadArc(before, after, dir, &matrix, pts); |
| 144 | SkASSERT((count & 1) == 1); |
| 145 | |
| 146 | if (count > 1) |
| 147 | { |
| 148 | for (int i = 1; i < count; i += 2) |
| 149 | outer->quadTo(pts[i].fX, pts[i].fY, pts[i+1].fX, pts[i+1].fY); |
| 150 | |
| 151 | after.scale(radius); |
| 152 | HandleInnerJoin(inner, pivot, after); |
| 153 | } |
| 154 | } |
| 155 | |
| 156 | #ifdef SK_SCALAR_IS_FLOAT |
| 157 | #define kOneOverSqrt2 (0.707106781f) |
| 158 | #else |
| 159 | #define kOneOverSqrt2 (46341) |
| 160 | #endif |
| 161 | |
| 162 | static void MiterJoiner(SkPath* outer, SkPath* inner, const SkVector& beforeUnitNormal, |
| 163 | const SkPoint& pivot, const SkVector& afterUnitNormal, |
| 164 | SkScalar radius, SkScalar invMiterLimit, |
| 165 | bool prevIsLine, bool currIsLine) |
| 166 | { |
| 167 | // negate the dot since we're using normals instead of tangents |
| 168 | SkScalar dotProd = SkPoint::DotProduct(beforeUnitNormal, afterUnitNormal); |
| 169 | AngleType angleType = Dot2AngleType(dotProd); |
| 170 | SkVector before = beforeUnitNormal; |
| 171 | SkVector after = afterUnitNormal; |
| 172 | SkVector mid; |
| 173 | SkScalar sinHalfAngle; |
| 174 | bool ccw; |
| 175 | |
| 176 | if (angleType == kNearlyLine_AngleType) |
| 177 | return; |
| 178 | if (angleType == kNearly180_AngleType) |
| 179 | { |
| 180 | currIsLine = false; |
| 181 | goto DO_BLUNT; |
| 182 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame^] | 183 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 184 | ccw = !is_clockwise(before, after); |
| 185 | if (ccw) |
| 186 | { |
| 187 | SkTSwap<SkPath*>(outer, inner); |
| 188 | before.negate(); |
| 189 | after.negate(); |
| 190 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame^] | 191 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 192 | /* Before we enter the world of square-roots and divides, |
| 193 | check if we're trying to join an upright right angle |
| 194 | (common case for stroking rectangles). If so, special case |
| 195 | that (for speed an accuracy). |
| 196 | Note: we only need to check one normal if dot==0 |
| 197 | */ |
| 198 | if (0 == dotProd && invMiterLimit <= kOneOverSqrt2) |
| 199 | { |
| 200 | mid.set(SkScalarMul(before.fX + after.fX, radius), |
| 201 | SkScalarMul(before.fY + after.fY, radius)); |
| 202 | goto DO_MITER; |
| 203 | } |
| 204 | |
| 205 | /* midLength = radius / sinHalfAngle |
| 206 | if (midLength > miterLimit * radius) abort |
| 207 | if (radius / sinHalf > miterLimit * radius) abort |
| 208 | if (1 / sinHalf > miterLimit) abort |
| 209 | if (1 / miterLimit > sinHalf) abort |
| 210 | My dotProd is opposite sign, since it is built from normals and not tangents |
| 211 | hence 1 + dot instead of 1 - dot in the formula |
| 212 | */ |
| 213 | sinHalfAngle = SkScalarSqrt(SkScalarHalf(SK_Scalar1 + dotProd)); |
| 214 | if (sinHalfAngle < invMiterLimit) |
| 215 | { |
| 216 | currIsLine = false; |
| 217 | goto DO_BLUNT; |
| 218 | } |
| 219 | |
| 220 | // choose the most accurate way to form the initial mid-vector |
| 221 | if (angleType == kSharp_AngleType) |
| 222 | { |
| 223 | mid.set(after.fY - before.fY, before.fX - after.fX); |
| 224 | if (ccw) |
| 225 | mid.negate(); |
| 226 | } |
| 227 | else |
| 228 | mid.set(before.fX + after.fX, before.fY + after.fY); |
| 229 | |
| 230 | mid.setLength(SkScalarDiv(radius, sinHalfAngle)); |
| 231 | DO_MITER: |
| 232 | if (prevIsLine) |
| 233 | outer->setLastPt(pivot.fX + mid.fX, pivot.fY + mid.fY); |
| 234 | else |
| 235 | outer->lineTo(pivot.fX + mid.fX, pivot.fY + mid.fY); |
| 236 | |
| 237 | DO_BLUNT: |
| 238 | after.scale(radius); |
| 239 | if (!currIsLine) |
| 240 | outer->lineTo(pivot.fX + after.fX, pivot.fY + after.fY); |
| 241 | HandleInnerJoin(inner, pivot, after); |
| 242 | } |
| 243 | |
| 244 | ///////////////////////////////////////////////////////////////////////////// |
| 245 | |
| 246 | SkStrokerPriv::CapProc SkStrokerPriv::CapFactory(SkPaint::Cap cap) |
| 247 | { |
| 248 | static const SkStrokerPriv::CapProc gCappers[] = { |
| 249 | ButtCapper, RoundCapper, SquareCapper |
| 250 | }; |
| 251 | |
| 252 | SkASSERT((unsigned)cap < SkPaint::kCapCount); |
| 253 | return gCappers[cap]; |
| 254 | } |
| 255 | |
| 256 | SkStrokerPriv::JoinProc SkStrokerPriv::JoinFactory(SkPaint::Join join) |
| 257 | { |
| 258 | static const SkStrokerPriv::JoinProc gJoiners[] = { |
| 259 | MiterJoiner, RoundJoiner, BluntJoiner |
| 260 | }; |
| 261 | |
| 262 | SkASSERT((unsigned)join < SkPaint::kJoinCount); |
| 263 | return gJoiners[join]; |
| 264 | } |
| 265 | |
| 266 | |
| 267 | |