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author | Matt A. Tobin <mattatobin@localhost.localdomain> | 2018-02-02 04:16:08 -0500 |
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committer | Matt A. Tobin <mattatobin@localhost.localdomain> | 2018-02-02 04:16:08 -0500 |
commit | 5f8de423f190bbb79a62f804151bc24824fa32d8 (patch) | |
tree | 10027f336435511475e392454359edea8e25895d /layout/base/DottedCornerFinder.cpp | |
parent | 49ee0794b5d912db1f95dce6eb52d781dc210db5 (diff) | |
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Add m-esr52 at 52.6.0
Diffstat (limited to 'layout/base/DottedCornerFinder.cpp')
-rw-r--r-- | layout/base/DottedCornerFinder.cpp | 568 |
1 files changed, 568 insertions, 0 deletions
diff --git a/layout/base/DottedCornerFinder.cpp b/layout/base/DottedCornerFinder.cpp new file mode 100644 index 000000000..fb9534f54 --- /dev/null +++ b/layout/base/DottedCornerFinder.cpp @@ -0,0 +1,568 @@ +/* -*- Mode: C++; tab-width: 2; indent-tabs-mode: nil; c-basic-offset: 2 -*- */ +// vim:cindent:ts=2:et:sw=2: +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + +#include "DottedCornerFinder.h" + +#include "mozilla/Move.h" +#include "BorderCache.h" +#include "BorderConsts.h" + +namespace mozilla { + +using namespace gfx; + +static inline Float +Square(Float x) +{ + return x * x; +} + +static Point +PointRotateCCW90(const Point& aP) +{ + return Point(aP.y, -aP.x); +} + +struct BestOverlap +{ + Float overlap; + size_t count; + + BestOverlap() + : overlap(0.0f), count(0) + {} + + BestOverlap(Float aOverlap, size_t aCount) + : overlap(aOverlap), count(aCount) + {} +}; + +static const size_t DottedCornerCacheSize = 256; +nsDataHashtable<FourFloatsHashKey, BestOverlap> DottedCornerCache; + +DottedCornerFinder::DottedCornerFinder(const Bezier& aOuterBezier, + const Bezier& aInnerBezier, + mozilla::css::Corner aCorner, + Float aBorderRadiusX, + Float aBorderRadiusY, + const Point& aC0, Float aR0, + const Point& aCn, Float aRn, + const Size& aCornerDim) + : mOuterBezier(aOuterBezier), + mInnerBezier(aInnerBezier), + mCorner(aCorner), + mNormalSign((aCorner == C_TL || aCorner == C_BR) ? -1.0f : 1.0f), + mC0(aC0), mCn(aCn), + mR0(aR0), mRn(aRn), mMaxR(std::max(aR0, aRn)), + mCenterCurveOrigin(mC0.x, mCn.y), + mInnerCurveOrigin(mInnerBezier.mPoints[0].x, mInnerBezier.mPoints[3].y), + mBestOverlap(0.0f), + mHasZeroBorderWidth(false), mHasMore(true), + mMaxCount(aCornerDim.width + aCornerDim.height), + mType(OTHER), + mI(0), mCount(0) +{ + NS_ASSERTION(mR0 > 0.0f || mRn > 0.0f, + "At least one side should have non-zero radius."); + + mInnerWidth = fabs(mInnerBezier.mPoints[0].x - mInnerBezier.mPoints[3].x); + mInnerHeight = fabs(mInnerBezier.mPoints[0].y - mInnerBezier.mPoints[3].y); + + DetermineType(aBorderRadiusX, aBorderRadiusY); + + Reset(); +} + +static bool +IsSingleCurve(Float aMinR, Float aMaxR, + Float aMinBorderRadius, Float aMaxBorderRadius) +{ + return aMinR > 0.0f && + aMinBorderRadius > aMaxR * 4.0f && + aMinBorderRadius / aMaxBorderRadius > 0.5f; +} + +void +DottedCornerFinder::DetermineType(Float aBorderRadiusX, Float aBorderRadiusY) +{ + // Calculate parameters for the center curve before swap. + Float centerCurveWidth = fabs(mC0.x - mCn.x); + Float centerCurveHeight = fabs(mC0.y - mCn.y); + Point cornerPoint(mCn.x, mC0.y); + + bool swapped = false; + if (mR0 < mRn) { + // Always draw from wider side to thinner side. + Swap(mC0, mCn); + Swap(mR0, mRn); + Swap(mInnerBezier.mPoints[0], mInnerBezier.mPoints[3]); + Swap(mInnerBezier.mPoints[1], mInnerBezier.mPoints[2]); + Swap(mOuterBezier.mPoints[0], mOuterBezier.mPoints[3]); + Swap(mOuterBezier.mPoints[1], mOuterBezier.mPoints[2]); + mNormalSign = -mNormalSign; + swapped = true; + } + + // See the comment at mType declaration for each condition. + + Float minR = std::min(mR0, mRn); + Float minBorderRadius = std::min(aBorderRadiusX, aBorderRadiusY); + Float maxBorderRadius = std::max(aBorderRadiusX, aBorderRadiusY); + if (IsSingleCurve(minR, mMaxR, minBorderRadius, maxBorderRadius)) { + if (mR0 == mRn) { + Float borderLength; + if (minBorderRadius == maxBorderRadius) { + mType = PERFECT; + borderLength = M_PI * centerCurveHeight / 2.0f; + + mCenterCurveR = centerCurveWidth; + } else { + mType = SINGLE_CURVE_AND_RADIUS; + borderLength = GetQuarterEllipticArcLength(centerCurveWidth, + centerCurveHeight); + } + + Float diameter = mR0 * 2.0f; + size_t count = round(borderLength / diameter); + if (count % 2) { + count++; + } + mCount = count / 2 - 1; + if (mCount > 0) { + mBestOverlap = 1.0f - borderLength / (diameter * count); + } + } else { + mType = SINGLE_CURVE; + } + } + + if (mType == SINGLE_CURVE_AND_RADIUS || mType == SINGLE_CURVE) { + Size cornerSize(centerCurveWidth, centerCurveHeight); + GetBezierPointsForCorner(&mCenterBezier, mCorner, + cornerPoint, cornerSize); + if (swapped) { + Swap(mCenterBezier.mPoints[0], mCenterBezier.mPoints[3]); + Swap(mCenterBezier.mPoints[1], mCenterBezier.mPoints[2]); + } + } + + if (minR == 0.0f) { + mHasZeroBorderWidth = true; + } + + if ((mType == SINGLE_CURVE || mType == OTHER) && !mHasZeroBorderWidth) { + FindBestOverlap(minR, minBorderRadius, maxBorderRadius); + } +} + + +bool +DottedCornerFinder::HasMore(void) const +{ + if (mHasZeroBorderWidth) { + return mI < mMaxCount && mHasMore; + } + + return mI < mCount; +} + +DottedCornerFinder::Result +DottedCornerFinder::Next(void) +{ + mI++; + + if (mType == PERFECT) { + Float phi = mI * 4.0f * mR0 * (1 - mBestOverlap) / mCenterCurveR; + if (mCorner == C_TL) { + phi = -M_PI / 2.0f - phi; + } else if (mCorner == C_TR) { + phi = -M_PI / 2.0f + phi; + } else if (mCorner == C_BR) { + phi = M_PI / 2.0f - phi; + } else { + phi = M_PI / 2.0f + phi; + } + + Point C(mCenterCurveOrigin.x + mCenterCurveR * cos(phi), + mCenterCurveOrigin.y + mCenterCurveR * sin(phi)); + return DottedCornerFinder::Result(C, mR0); + } + + // Find unfilled and filled circles. + (void)FindNext(mBestOverlap); + if (mHasMore) { + (void)FindNext(mBestOverlap); + } + + return Result(mLastC, mLastR); +} + +void +DottedCornerFinder::Reset(void) +{ + mLastC = mC0; + mLastR = mR0; + mLastT = 0.0f; + mHasMore = true; +} + +void +DottedCornerFinder::FindPointAndRadius(Point& C, Float& r, + const Point& innerTangent, + const Point& normal, Float t) +{ + // Find radius for the given tangent point on the inner curve such that the + // circle is also tangent to the outer curve. + + NS_ASSERTION(mType == OTHER, "Wrong mType"); + + Float lower = 0.0f; + Float upper = mMaxR; + const Float DIST_MARGIN = 0.1f; + for (size_t i = 0; i < MAX_LOOP; i++) { + r = (upper + lower) / 2.0f; + C = innerTangent + normal * r; + + Point Near = FindBezierNearestPoint(mOuterBezier, C, t); + Float distSquare = (C - Near).LengthSquare(); + + if (distSquare > Square(r + DIST_MARGIN)) { + lower = r; + } else if (distSquare < Square(r - DIST_MARGIN)) { + upper = r; + } else { + break; + } + } +} + +Float +DottedCornerFinder::FindNext(Float overlap) +{ + Float lower = mLastT; + Float upper = 1.0f; + Float t; + + Point C = mLastC; + Float r = 0.0f; + + Float factor = (1.0f - overlap); + + Float circlesDist = 0.0f; + Float expectedDist = 0.0f; + + const Float DIST_MARGIN = 0.1f; + if (mType == SINGLE_CURVE_AND_RADIUS) { + r = mR0; + + expectedDist = (r + mLastR) * factor; + + // Find C_i on the center curve. + for (size_t i = 0; i < MAX_LOOP; i++) { + t = (upper + lower) / 2.0f; + C = GetBezierPoint(mCenterBezier, t); + + // Check overlap along arc. + circlesDist = GetBezierLength(mCenterBezier, mLastT, t); + if (circlesDist < expectedDist - DIST_MARGIN) { + lower = t; + } else if (circlesDist > expectedDist + DIST_MARGIN) { + upper = t; + } else { + break; + } + } + } else if (mType == SINGLE_CURVE) { + // Find C_i on the center curve, and calculate r_i. + for (size_t i = 0; i < MAX_LOOP; i++) { + t = (upper + lower) / 2.0f; + C = GetBezierPoint(mCenterBezier, t); + + Point Diff = GetBezierDifferential(mCenterBezier, t); + Float DiffLength = Diff.Length(); + if (DiffLength == 0.0f) { + // Basically this shouldn't happen. + // If differential is 0, we cannot calculate tangent circle, + // skip this point. + t = (t + upper) / 2.0f; + continue; + } + + Point normal = PointRotateCCW90(Diff / DiffLength) * (-mNormalSign); + r = CalculateDistanceToEllipticArc(C, normal, mInnerCurveOrigin, + mInnerWidth, mInnerHeight); + + // Check overlap along arc. + circlesDist = GetBezierLength(mCenterBezier, mLastT, t); + expectedDist = (r + mLastR) * factor; + if (circlesDist < expectedDist - DIST_MARGIN) { + lower = t; + } else if (circlesDist > expectedDist + DIST_MARGIN) { + upper = t; + } else { + break; + } + } + } else { + Float distSquareMax = Square(mMaxR * 3.0f); + Float circlesDistSquare = 0.0f; + + // Find C_i and r_i. + for (size_t i = 0; i < MAX_LOOP; i++) { + t = (upper + lower) / 2.0f; + Point innerTangent = GetBezierPoint(mInnerBezier, t); + if ((innerTangent - mLastC).LengthSquare() > distSquareMax) { + // It's clear that this tangent point is too far, skip it. + upper = t; + continue; + } + + Point Diff = GetBezierDifferential(mInnerBezier, t); + Float DiffLength = Diff.Length(); + if (DiffLength == 0.0f) { + // Basically this shouldn't happen. + // If differential is 0, we cannot calculate tangent circle, + // skip this point. + t = (t + upper) / 2.0f; + continue; + } + + Point normal = PointRotateCCW90(Diff / DiffLength) * mNormalSign; + FindPointAndRadius(C, r, innerTangent, normal, t); + + // Check overlap with direct distance. + circlesDistSquare = (C - mLastC).LengthSquare(); + expectedDist = (r + mLastR) * factor; + if (circlesDistSquare < Square(expectedDist - DIST_MARGIN)) { + lower = t; + } else if (circlesDistSquare > Square(expectedDist + DIST_MARGIN)) { + upper = t; + } else { + break; + } + } + + circlesDist = sqrt(circlesDistSquare); + } + + if (mHasZeroBorderWidth) { + // When calculating circle around r=0, it may result in wrong radius that + // is bigger than previous circle. Detect it and stop calculating. + const Float R_MARGIN = 0.1f; + if (mLastR < R_MARGIN && r > mLastR) { + mHasMore = false; + mLastR = 0.0f; + return 0.0f; + } + } + + mLastT = t; + mLastC = C; + mLastR = r; + + if (mHasZeroBorderWidth) { + const Float T_MARGIN = 0.001f; + if (mLastT >= 1.0f - T_MARGIN || + (mLastC - mCn).LengthSquare() < Square(mLastR)) { + mHasMore = false; + } + } + + if (expectedDist == 0.0f) { + return 0.0f; + } + + return 1.0f - circlesDist * factor / expectedDist; +} + +void +DottedCornerFinder::FindBestOverlap(Float aMinR, Float aMinBorderRadius, + Float aMaxBorderRadius) +{ + // If overlap is not calculateable, find it with binary search, + // such that there exists i that C_i == C_n with the given overlap. + + FourFloats key(aMinR, mMaxR, + aMinBorderRadius, aMaxBorderRadius); + BestOverlap best; + if (DottedCornerCache.Get(key, &best)) { + mCount = best.count; + mBestOverlap = best.overlap; + return; + } + + Float lower = 0.0f; + Float upper = 0.5f; + // Start from lower bound to find the minimum number of circles. + Float overlap = 0.0f; + mBestOverlap = overlap; + size_t targetCount = 0; + + const Float OVERLAP_MARGIN = 0.1f; + for (size_t j = 0; j < MAX_LOOP; j++) { + Reset(); + + size_t count; + Float actualOverlap; + if (!GetCountAndLastOverlap(overlap, &count, &actualOverlap)) { + if (j == 0) { + mCount = mMaxCount; + break; + } + } + + if (j == 0) { + if (count < 3 || (count == 3 && actualOverlap > 0.5f)) { + // |count == 3 && actualOverlap > 0.5f| means there could be + // a circle but it is too near from both ends. + // + // if actualOverlap == 0.0 + // 1 2 3 + // +-------+-------+-------+-------+ + // | ##### | ***** | ##### | ##### | + // |#######|*******|#######|#######| + // |###+###|***+***|###+###|###+###| + // |# C_0 #|* C_1 *|# C_2 #|# C_n #| + // | ##### | ***** | ##### | ##### | + // +-------+-------+-------+-------+ + // | + // V + // +-------+---+-------+---+-------+ + // | ##### | | ##### | | ##### | + // |#######| |#######| |#######| + // |###+###| |###+###| |###+###| Find the best overlap to place + // |# C_0 #| |# C_1 #| |# C_n #| C_1 at the middle of them + // | ##### | | ##### | | ##### | + // +-------+---+-------+---|-------+ + // + // if actualOverlap == 0.5 + // 1 2 3 + // +-------+-------+-------+---+ + // | ##### | ***** | ##### |## | + // |#######|*******|##### C_n #| + // |###+###|***+***|###+###+###| + // |# C_0 #|* C_1 *|# C_2 #|###| + // | ##### | ***** | ##### |## | + // +-------+-------+-------+---+ + // | + // V + // +-------+-+-------+-+-------+ + // | ##### | | ##### | | ##### | + // |#######| |#######| |#######| + // |###+###| |###+###| |###+###| Even if we place C_1 at the middle + // |# C_0 #| |# C_1 #| |# C_n #| of them, it's too near from them + // | ##### | | ##### | | ##### | + // +-------+-+-------+-|-------+ + // | + // V + // +-------+-----------+-------+ + // | ##### | | ##### | + // |#######| |#######| + // |###+###| |###+###| Do not draw any circle + // |# C_0 #| |# C_n #| + // | ##### | | ##### | + // +-------+-----------+-------+ + mCount = 0; + break; + } + + // targetCount should be 2n, as we're searching C_1 to C_n. + // + // targetCount = 4 + // mCount = 1 + // 1 2 3 4 + // +-------+-------+-------+-------+-------+ + // | ##### | ***** | ##### | ***** | ##### | + // |#######|*******|#######|*******|#######| + // |###+###|***+***|###+###|***+***|###+###| + // |# C_0 #|* C_1 *|# C_2 #|* C_3 *|# C_n #| + // | ##### | ***** | ##### | ***** | ##### | + // +-------+-------+-------+-------+-------+ + // 1 + // + // targetCount = 6 + // mCount = 2 + // 1 2 3 4 5 6 + // +-------+-------+-------+-------+-------+-------+-------+ + // | ##### | ***** | ##### | ***** | ##### | ***** | ##### | + // |#######|*******|#######|*******|#######|*******|#######| + // |###+###|***+***|###+###|***+***|###+###|***+***|###+###| + // |# C_0 #|* C_1 *|# C_2 #|* C_3 *|# C_4 #|* C_5 *|# C_n #| + // | ##### | ***** | ##### | ***** | ##### | ***** | ##### | + // +-------+-------+-------+-------+-------+-------+-------+ + // 1 2 + if (count % 2) { + targetCount = count + 1; + } else { + targetCount = count; + } + + mCount = targetCount / 2 - 1; + } + + if (count == targetCount) { + mBestOverlap = overlap; + + if (fabs(actualOverlap - overlap) < OVERLAP_MARGIN) { + break; + } + + // We started from upper bound, no need to update range when j == 0. + if (j > 0) { + if (actualOverlap > overlap) { + lower = overlap; + } else { + upper = overlap; + } + } + } else { + // |j == 0 && count != targetCount| means that |targetCount = count + 1|, + // and we started from upper bound, no need to update range when j == 0. + if (j > 0) { + if (count > targetCount) { + upper = overlap; + } else { + lower = overlap; + } + } + } + + overlap = (upper + lower) / 2.0f; + } + + if (DottedCornerCache.Count() > DottedCornerCacheSize) { + DottedCornerCache.Clear(); + } + DottedCornerCache.Put(key, BestOverlap(mBestOverlap, mCount)); +} + +bool +DottedCornerFinder::GetCountAndLastOverlap(Float aOverlap, + size_t* aCount, + Float* aActualOverlap) +{ + // Return the number of circles and the last circles' overlap for the + // given overlap. + + Reset(); + + const Float T_MARGIN = 0.001f; + const Float DIST_MARGIN = 0.1f; + const Float DIST_MARGIN_SQUARE = Square(DIST_MARGIN); + for (size_t i = 0; i < mMaxCount; i++) { + Float actualOverlap = FindNext(aOverlap); + if (mLastT >= 1.0f - T_MARGIN || + (mLastC - mCn).LengthSquare() < DIST_MARGIN_SQUARE) { + *aCount = i + 1; + *aActualOverlap = actualOverlap; + return true; + } + } + + return false; +} + +} // namespace mozilla |