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skia / skia / 1f5294f9d1540aeaf2d8937d4ea2839c923c6c4b / . / src / core / SkPath.cpp
blob: 2c0f94b7485f4a5a1d0ea1be65bb329bccc47292 [file] [log] [blame]
/*
* Copyright 2006 The Android Open Source Project
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "include/core/SkPath.h"
#include "include/core/SkPathBuilder.h"
#include "include/core/SkRRect.h"
#include "include/core/SkStream.h"
#include "include/core/SkString.h"
#include "include/private/SkPathRef.h"
#include "include/private/base/SkFloatBits.h"
#include "include/private/base/SkFloatingPoint.h"
#include "include/private/base/SkMalloc.h"
#include "include/private/base/SkPathEnums.h"
#include "include/private/base/SkTArray.h"
#include "include/private/base/SkTDArray.h"
#include "include/private/base/SkTo.h"
#include "src/base/SkTLazy.h"
#include "src/base/SkVx.h"
#include "src/core/SkCubicClipper.h"
#include "src/core/SkEdgeClipper.h"
#include "src/core/SkGeometry.h"
#include "src/core/SkMatrixPriv.h"
#include "src/core/SkPathMakers.h"
#include "src/core/SkPathPriv.h"
#include "src/core/SkPointPriv.h"
#include "src/core/SkStringUtils.h"
#include <algorithm>
#include <cmath>
#include <cstring>
#include <iterator>
#include <utility>
struct SkPath_Storage_Equivalent {
void* fPtr;
int32_t fIndex;
uint32_t fFlags;
};
static_assert(sizeof(SkPath) == sizeof(SkPath_Storage_Equivalent),
"Please keep an eye on SkPath packing.");
static float poly_eval(float A, float B, float C, float t) {
return (A * t + B) * t + C;
}
static float poly_eval(float A, float B, float C, float D, float t) {
return ((A * t + B) * t + C) * t + D;
}
////////////////////////////////////////////////////////////////////////////
/**
* Path.bounds is defined to be the bounds of all the control points.
* If we called bounds.join(r) we would skip r if r was empty, which breaks
* our promise. Hence we have a custom joiner that doesn't look at emptiness
*/
static void joinNoEmptyChecks(SkRect* dst, const SkRect& src) {
dst->fLeft = std::min(dst->fLeft, src.fLeft);
dst->fTop = std::min(dst->fTop, src.fTop);
dst->fRight = std::max(dst->fRight, src.fRight);
dst->fBottom = std::max(dst->fBottom, src.fBottom);
}
static bool is_degenerate(const SkPath& path) {
return (path.countVerbs() - SkPathPriv::LeadingMoveToCount(path)) == 0;
}
class SkAutoDisableDirectionCheck {
public:
SkAutoDisableDirectionCheck(SkPath* path) : fPath(path) {
fSaved = static_cast<SkPathFirstDirection>(fPath->getFirstDirection());
}
~SkAutoDisableDirectionCheck() {
fPath->setFirstDirection(fSaved);
}
private:
SkPath* fPath;
SkPathFirstDirection fSaved;
};
/* This class's constructor/destructor bracket a path editing operation. It is
used when we know the bounds of the amount we are going to add to the path
(usually a new contour, but not required).
It captures some state about the path up front (i.e. if it already has a
cached bounds), and then if it can, it updates the cache bounds explicitly,
avoiding the need to revisit all of the points in getBounds().
It also notes if the path was originally degenerate, and if so, sets
isConvex to true. Thus it can only be used if the contour being added is
convex.
*/
class SkAutoPathBoundsUpdate {
public:
SkAutoPathBoundsUpdate(SkPath* path, const SkRect& r) : fPath(path), fRect(r) {
// Cannot use fRect for our bounds unless we know it is sorted
fRect.sort();
// Mark the path's bounds as dirty if (1) they are, or (2) the path
// is non-finite, and therefore its bounds are not meaningful
fHasValidBounds = path->hasComputedBounds() && path->isFinite();
fEmpty = path->isEmpty();
if (fHasValidBounds && !fEmpty) {
joinNoEmptyChecks(&fRect, fPath->getBounds());
}
fDegenerate = is_degenerate(*path);
}
~SkAutoPathBoundsUpdate() {
fPath->setConvexity(fDegenerate ? SkPathConvexity::kConvex
: SkPathConvexity::kUnknown);
if ((fEmpty || fHasValidBounds) && fRect.isFinite()) {
fPath->setBounds(fRect);
}
}
private:
SkPath* fPath;
SkRect fRect;
bool fHasValidBounds;
bool fDegenerate;
bool fEmpty;
};
////////////////////////////////////////////////////////////////////////////
/*
Stores the verbs and points as they are given to us, with exceptions:
- we only record "Close" if it was immediately preceeded by Move | Line | Quad | Cubic
- we insert a Move(0,0) if Line | Quad | Cubic is our first command
The iterator does more cleanup, especially if forceClose == true
1. If we encounter degenerate segments, remove them
2. if we encounter Close, return a cons'd up Line() first (if the curr-pt != start-pt)
3. if we encounter Move without a preceeding Close, and forceClose is true, goto #2
4. if we encounter Line | Quad | Cubic after Close, cons up a Move
*/
////////////////////////////////////////////////////////////////////////////
// flag to require a moveTo if we begin with something else, like lineTo etc.
// This will also be the value of lastMoveToIndex for a single contour
// ending with close, so countVerbs needs to be checked against 0.
#define INITIAL_LASTMOVETOINDEX_VALUE ~0
SkPath::SkPath()
: fPathRef(SkPathRef::CreateEmpty()) {
this->resetFields();
fIsVolatile = false;
}
SkPath::SkPath(sk_sp<SkPathRef> pr, SkPathFillType ft, bool isVolatile, SkPathConvexity ct,
SkPathFirstDirection firstDirection)
: fPathRef(std::move(pr))
, fLastMoveToIndex(INITIAL_LASTMOVETOINDEX_VALUE)
, fConvexity((uint8_t)ct)
, fFirstDirection((uint8_t)firstDirection)
, fFillType((unsigned)ft)
, fIsVolatile(isVolatile)
{}
void SkPath::resetFields() {
//fPathRef is assumed to have been emptied by the caller.
fLastMoveToIndex = INITIAL_LASTMOVETOINDEX_VALUE;
fFillType = SkToU8(SkPathFillType::kWinding);
this->setConvexity(SkPathConvexity::kUnknown);
this->setFirstDirection(SkPathFirstDirection::kUnknown);
// We don't touch Android's fSourcePath. It's used to track texture garbage collection, so we
// don't want to muck with it if it's been set to something non-nullptr.
}
SkPath::SkPath(const SkPath& that)
: fPathRef(SkRef(that.fPathRef.get())) {
this->copyFields(that);
SkDEBUGCODE(that.validate();)
}
SkPath::~SkPath() {
SkDEBUGCODE(this->validate();)
}
SkPath& SkPath::operator=(const SkPath& that) {
SkDEBUGCODE(that.validate();)
if (this != &that) {
fPathRef.reset(SkRef(that.fPathRef.get()));
this->copyFields(that);
}
SkDEBUGCODE(this->validate();)
return *this;
}
void SkPath::copyFields(const SkPath& that) {
//fPathRef is assumed to have been set by the caller.
fLastMoveToIndex = that.fLastMoveToIndex;
fFillType = that.fFillType;
fIsVolatile = that.fIsVolatile;
// Non-atomic assignment of atomic values.
this->setConvexity(that.getConvexityOrUnknown());
this->setFirstDirection(that.getFirstDirection());
}
bool operator==(const SkPath& a, const SkPath& b) {
// note: don't need to look at isConvex or bounds, since just comparing the
// raw data is sufficient.
return &a == &b ||
(a.fFillType == b.fFillType && *a.fPathRef == *b.fPathRef);
}
void SkPath::swap(SkPath& that) {
if (this != &that) {
fPathRef.swap(that.fPathRef);
std::swap(fLastMoveToIndex, that.fLastMoveToIndex);
const auto ft = fFillType;
fFillType = that.fFillType;
that.fFillType = ft;
const auto iv = fIsVolatile;
fIsVolatile = that.fIsVolatile;
that.fIsVolatile = iv;
// Non-atomic swaps of atomic values.
SkPathConvexity c = this->getConvexityOrUnknown();
this->setConvexity(that.getConvexityOrUnknown());
that.setConvexity(c);
SkPathFirstDirection fd = this->getFirstDirection();
this->setFirstDirection(that.getFirstDirection());
that.setFirstDirection(fd);
}
}
bool SkPath::isInterpolatable(const SkPath& compare) const {
// need the same structure (verbs, conicweights) and same point-count
return fPathRef->fPoints.size() == compare.fPathRef->fPoints.size() &&
fPathRef->fVerbs == compare.fPathRef->fVerbs &&
fPathRef->fConicWeights == compare.fPathRef->fConicWeights;
}
bool SkPath::interpolate(const SkPath& ending, SkScalar weight, SkPath* out) const {
int pointCount = fPathRef->countPoints();
if (pointCount != ending.fPathRef->countPoints()) {
return false;
}
if (!pointCount) {
return true;
}
out->reset();
out->addPath(*this);
fPathRef->interpolate(*ending.fPathRef, weight, out->fPathRef.get());
return true;
}
static inline bool check_edge_against_rect(const SkPoint& p0,
const SkPoint& p1,
const SkRect& rect,
SkPathFirstDirection dir) {
const SkPoint* edgeBegin;
SkVector v;
if (SkPathFirstDirection::kCW == dir) {
v = p1 - p0;
edgeBegin = &p0;
} else {
v = p0 - p1;
edgeBegin = &p1;
}
if (v.fX || v.fY) {
// check the cross product of v with the vec from edgeBegin to each rect corner
SkScalar yL = v.fY * (rect.fLeft - edgeBegin->fX);
SkScalar xT = v.fX * (rect.fTop - edgeBegin->fY);
SkScalar yR = v.fY * (rect.fRight - edgeBegin->fX);
SkScalar xB = v.fX * (rect.fBottom - edgeBegin->fY);
if ((xT < yL) || (xT < yR) || (xB < yL) || (xB < yR)) {
return false;
}
}
return true;
}
bool SkPath::conservativelyContainsRect(const SkRect& rect) const {
// This only handles non-degenerate convex paths currently.
if (!this->isConvex()) {
return false;
}
SkPathFirstDirection direction = SkPathPriv::ComputeFirstDirection(*this);
if (direction == SkPathFirstDirection::kUnknown) {
return false;
}
SkPoint firstPt;
SkPoint prevPt;
int segmentCount = 0;
SkDEBUGCODE(int moveCnt = 0;)
for (auto [verb, pts, weight] : SkPathPriv::Iterate(*this)) {
if (verb == SkPathVerb::kClose || (segmentCount > 0 && verb == SkPathVerb::kMove)) {
// Closing the current contour; but since convexity is a precondition, it's the only
// contour that matters.
SkASSERT(moveCnt);
segmentCount++;
break;
} else if (verb == SkPathVerb::kMove) {
// A move at the start of the contour (or multiple leading moves, in which case we
// keep the last one before a non-move verb).
SkASSERT(!segmentCount);
SkDEBUGCODE(++moveCnt);
firstPt = prevPt = pts[0];
} else {
int pointCount = SkPathPriv::PtsInVerb((unsigned) verb);
SkASSERT(pointCount > 0);
if (!SkPathPriv::AllPointsEq(pts, pointCount + 1)) {
SkASSERT(moveCnt);
int nextPt = pointCount;
segmentCount++;
if (SkPathVerb::kConic == verb) {
SkConic orig;
orig.set(pts, *weight);
SkPoint quadPts[5];
int count = orig.chopIntoQuadsPOW2(quadPts, 1);
SkASSERT_RELEASE(2 == count);
if (!check_edge_against_rect(quadPts[0], quadPts[2], rect, direction)) {
return false;
}
if (!check_edge_against_rect(quadPts[2], quadPts[4], rect, direction)) {
return false;
}
} else {
if (!check_edge_against_rect(prevPt, pts[nextPt], rect, direction)) {
return false;
}
}
prevPt = pts[nextPt];
}
}
}
if (segmentCount) {
return check_edge_against_rect(prevPt, firstPt, rect, direction);
}
return false;
}
uint32_t SkPath::getGenerationID() const {
return fPathRef->genID(fFillType);
}
SkPath& SkPath::reset() {
SkDEBUGCODE(this->validate();)
if (fPathRef->unique()) {
fPathRef->reset();
} else {
fPathRef.reset(SkPathRef::CreateEmpty());
}
this->resetFields();
return *this;
}
SkPath& SkPath::rewind() {
SkDEBUGCODE(this->validate();)
SkPathRef::Rewind(&fPathRef);
this->resetFields();
return *this;
}
bool SkPath::isLastContourClosed() const {
int verbCount = fPathRef->countVerbs();
if (0 == verbCount) {
return false;
}
return kClose_Verb == fPathRef->atVerb(verbCount - 1);
}
bool SkPath::isLine(SkPoint line[2]) const {
int verbCount = fPathRef->countVerbs();
if (2 == verbCount) {
SkASSERT(kMove_Verb == fPathRef->atVerb(0));
if (kLine_Verb == fPathRef->atVerb(1)) {
SkASSERT(2 == fPathRef->countPoints());
if (line) {
const SkPoint* pts = fPathRef->points();
line[0] = pts[0];
line[1] = pts[1];
}
return true;
}
}
return false;
}
bool SkPath::isEmpty() const {
SkDEBUGCODE(this->validate();)
return 0 == fPathRef->countVerbs();
}
bool SkPath::isFinite() const {
SkDEBUGCODE(this->validate();)
return fPathRef->isFinite();
}
bool SkPath::isConvex() const {
return SkPathConvexity::kConvex == this->getConvexity();
}
const SkRect& SkPath::getBounds() const {
return fPathRef->getBounds();
}
uint32_t SkPath::getSegmentMasks() const {
return fPathRef->getSegmentMasks();
}
bool SkPath::isValid() const {
return this->isValidImpl() && fPathRef->isValid();
}
bool SkPath::hasComputedBounds() const {
SkDEBUGCODE(this->validate();)
return fPathRef->hasComputedBounds();
}
void SkPath::setBounds(const SkRect& rect) {
SkPathRef::Editor ed(&fPathRef);
ed.setBounds(rect);
}
SkPathConvexity SkPath::getConvexityOrUnknown() const {
return (SkPathConvexity)fConvexity.load(std::memory_order_relaxed);
}
#ifdef SK_DEBUG
void SkPath::validate() const {
SkASSERT(this->isValidImpl());
}
void SkPath::validateRef() const {
// This will SkASSERT if not valid.
fPathRef->validate();
}
#endif
/*
Determines if path is a rect by keeping track of changes in direction
and looking for a loop either clockwise or counterclockwise.
The direction is computed such that:
0: vertical up
1: horizontal left
2: vertical down
3: horizontal right
A rectangle cycles up/right/down/left or up/left/down/right.
The test fails if:
The path is closed, and followed by a line.
A second move creates a new endpoint.
A diagonal line is parsed.
There's more than four changes of direction.
There's a discontinuity on the line (e.g., a move in the middle)
The line reverses direction.
The path contains a quadratic or cubic.
The path contains fewer than four points.
*The rectangle doesn't complete a cycle.
*The final point isn't equal to the first point.
*These last two conditions we relax if we have a 3-edge path that would
form a rectangle if it were closed (as we do when we fill a path)
It's OK if the path has:
Several colinear line segments composing a rectangle side.
Single points on the rectangle side.
The direction takes advantage of the corners found since opposite sides
must travel in opposite directions.
FIXME: Allow colinear quads and cubics to be treated like lines.
FIXME: If the API passes fill-only, return true if the filled stroke
is a rectangle, though the caller failed to close the path.
directions values:
0x1 is set if the segment is horizontal
0x2 is set if the segment is moving to the right or down
thus:
two directions are opposites iff (dirA ^ dirB) == 0x2
two directions are perpendicular iff (dirA ^ dirB) == 0x1
*/
static int rect_make_dir(SkScalar dx, SkScalar dy) {
return ((0 != dx) << 0) | ((dx > 0 || dy > 0) << 1);
}
bool SkPath::isRect(SkRect* rect, bool* isClosed, SkPathDirection* direction) const {
SkDEBUGCODE(this->validate();)
int currVerb = 0;
const SkPoint* pts = fPathRef->points();
return SkPathPriv::IsRectContour(*this, false, &currVerb, &pts, isClosed, direction, rect);
}
bool SkPath::isOval(SkRect* bounds) const {
return SkPathPriv::IsOval(*this, bounds, nullptr, nullptr);
}
bool SkPath::isRRect(SkRRect* rrect) const {
return SkPathPriv::IsRRect(*this, rrect, nullptr, nullptr);
}
int SkPath::countPoints() const {
return fPathRef->countPoints();
}
int SkPath::getPoints(SkPoint dst[], int max) const {
SkDEBUGCODE(this->validate();)
SkASSERT(max >= 0);
SkASSERT(!max || dst);
int count = std::min(max, fPathRef->countPoints());
sk_careful_memcpy(dst, fPathRef->points(), count * sizeof(SkPoint));
return fPathRef->countPoints();
}
SkPoint SkPath::getPoint(int index) const {
if ((unsigned)index < (unsigned)fPathRef->countPoints()) {
return fPathRef->atPoint(index);
}
return SkPoint::Make(0, 0);
}
int SkPath::countVerbs() const {
return fPathRef->countVerbs();
}
int SkPath::getVerbs(uint8_t dst[], int max) const {
SkDEBUGCODE(this->validate();)
SkASSERT(max >= 0);
SkASSERT(!max || dst);
int count = std::min(max, fPathRef->countVerbs());
if (count) {
memcpy(dst, fPathRef->verbsBegin(), count);
}
return fPathRef->countVerbs();
}
size_t SkPath::approximateBytesUsed() const {
size_t size = sizeof (SkPath);
if (fPathRef != nullptr) {
size += fPathRef->approximateBytesUsed();
}
return size;
}
bool SkPath::getLastPt(SkPoint* lastPt) const {
SkDEBUGCODE(this->validate();)
int count = fPathRef->countPoints();
if (count > 0) {
if (lastPt) {
*lastPt = fPathRef->atPoint(count - 1);
}
return true;
}
if (lastPt) {
lastPt->set(0, 0);
}
return false;
}
void SkPath::setPt(int index, SkScalar x, SkScalar y) {
SkDEBUGCODE(this->validate();)
int count = fPathRef->countPoints();
if (count <= index) {
return;
} else {
SkPathRef::Editor ed(&fPathRef);
ed.atPoint(index)->set(x, y);
}
}
void SkPath::setLastPt(SkScalar x, SkScalar y) {
SkDEBUGCODE(this->validate();)
int count = fPathRef->countPoints();
if (count == 0) {
this->moveTo(x, y);
} else {
SkPathRef::Editor ed(&fPathRef);
ed.atPoint(count-1)->set(x, y);
}
}
// This is the public-facing non-const setConvexity().
void SkPath::setConvexity(SkPathConvexity c) {
fConvexity.store((uint8_t)c, std::memory_order_relaxed);
}
// Const hooks for working with fConvexity and fFirstDirection from const methods.
void SkPath::setConvexity(SkPathConvexity c) const {
fConvexity.store((uint8_t)c, std::memory_order_relaxed);
}
void SkPath::setFirstDirection(SkPathFirstDirection d) const {
fFirstDirection.store((uint8_t)d, std::memory_order_relaxed);
}
SkPathFirstDirection SkPath::getFirstDirection() const {
return (SkPathFirstDirection)fFirstDirection.load(std::memory_order_relaxed);
}
bool SkPath::isConvexityAccurate() const {
SkPathConvexity convexity = this->getConvexityOrUnknown();
if (convexity != SkPathConvexity::kUnknown) {
auto conv = this->computeConvexity();
if (conv != convexity) {
SkASSERT(false);
return false;
}
}
return true;
}
SkPathConvexity SkPath::getConvexity() const {
// Enable once we fix all the bugs
// SkDEBUGCODE(this->isConvexityAccurate());
SkPathConvexity convexity = this->getConvexityOrUnknown();
if (convexity == SkPathConvexity::kUnknown) {
convexity = this->computeConvexity();
}
SkASSERT(convexity != SkPathConvexity::kUnknown);
return convexity;
}
//////////////////////////////////////////////////////////////////////////////
// Construction methods
SkPath& SkPath::dirtyAfterEdit() {
this->setConvexity(SkPathConvexity::kUnknown);
this->setFirstDirection(SkPathFirstDirection::kUnknown);
#ifdef SK_DEBUG
// enable this as needed for testing, but it slows down some chrome tests so much
// that they don't complete, so we don't enable it by default
// e.g. TEST(IdentifiabilityPaintOpDigestTest, MassiveOpSkipped)
if (this->countVerbs() < 16) {
SkASSERT(fPathRef->dataMatchesVerbs());
}
#endif
return *this;
}
void SkPath::incReserve(int inc) {
SkDEBUGCODE(this->validate();)
if (inc > 0) {
SkPathRef::Editor(&fPathRef, inc, inc);
}
SkDEBUGCODE(this->validate();)
}
SkPath& SkPath::moveTo(SkScalar x, SkScalar y) {
SkDEBUGCODE(this->validate();)
SkPathRef::Editor ed(&fPathRef);
// remember our index
fLastMoveToIndex = fPathRef->countPoints();
ed.growForVerb(kMove_Verb)->set(x, y);
return this->dirtyAfterEdit();
}
SkPath& SkPath::rMoveTo(SkScalar x, SkScalar y) {
SkPoint pt = {0,0};
int count = fPathRef->countPoints();
if (count > 0) {
if (fLastMoveToIndex >= 0) {
pt = fPathRef->atPoint(count - 1);
} else {
pt = fPathRef->atPoint(~fLastMoveToIndex);
}
}
return this->moveTo(pt.fX + x, pt.fY + y);
}
void SkPath::injectMoveToIfNeeded() {
if (fLastMoveToIndex < 0) {
SkScalar x, y;
if (fPathRef->countVerbs() == 0) {
x = y = 0;
} else {
const SkPoint& pt = fPathRef->atPoint(~fLastMoveToIndex);
x = pt.fX;
y = pt.fY;
}
this->moveTo(x, y);
}
}
SkPath& SkPath::lineTo(SkScalar x, SkScalar y) {
SkDEBUGCODE(this->validate();)
this->injectMoveToIfNeeded();
SkPathRef::Editor ed(&fPathRef);
ed.growForVerb(kLine_Verb)->set(x, y);
return this->dirtyAfterEdit();
}
SkPath& SkPath::rLineTo(SkScalar x, SkScalar y) {
this->injectMoveToIfNeeded(); // This can change the result of this->getLastPt().
SkPoint pt;
this->getLastPt(&pt);
return this->lineTo(pt.fX + x, pt.fY + y);
}
SkPath& SkPath::quadTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2) {
SkDEBUGCODE(this->validate();)
this->injectMoveToIfNeeded();
SkPathRef::Editor ed(&fPathRef);
SkPoint* pts = ed.growForVerb(kQuad_Verb);
pts[0].set(x1, y1);
pts[1].set(x2, y2);
return this->dirtyAfterEdit();
}
SkPath& SkPath::rQuadTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2) {
this->injectMoveToIfNeeded(); // This can change the result of this->getLastPt().
SkPoint pt;
this->getLastPt(&pt);
return this->quadTo(pt.fX + x1, pt.fY + y1, pt.fX + x2, pt.fY + y2);
}
SkPath& SkPath::conicTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2,
SkScalar w) {
// check for <= 0 or NaN with this test
if (!(w > 0)) {
this->lineTo(x2, y2);
} else if (!SkScalarIsFinite(w)) {
this->lineTo(x1, y1);
this->lineTo(x2, y2);
} else if (SK_Scalar1 == w) {
this->quadTo(x1, y1, x2, y2);
} else {
SkDEBUGCODE(this->validate();)
this->injectMoveToIfNeeded();
SkPathRef::Editor ed(&fPathRef);
SkPoint* pts = ed.growForVerb(kConic_Verb, w);
pts[0].set(x1, y1);
pts[1].set(x2, y2);
(void)this->dirtyAfterEdit();
}
return *this;
}
SkPath& SkPath::rConicTo(SkScalar dx1, SkScalar dy1, SkScalar dx2, SkScalar dy2,
SkScalar w) {
this->injectMoveToIfNeeded(); // This can change the result of this->getLastPt().
SkPoint pt;
this->getLastPt(&pt);
return this->conicTo(pt.fX + dx1, pt.fY + dy1, pt.fX + dx2, pt.fY + dy2, w);
}
SkPath& SkPath::cubicTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2,
SkScalar x3, SkScalar y3) {
SkDEBUGCODE(this->validate();)
this->injectMoveToIfNeeded();
SkPathRef::Editor ed(&fPathRef);
SkPoint* pts = ed.growForVerb(kCubic_Verb);
pts[0].set(x1, y1);
pts[1].set(x2, y2);
pts[2].set(x3, y3);
return this->dirtyAfterEdit();
}
SkPath& SkPath::rCubicTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2,
SkScalar x3, SkScalar y3) {
this->injectMoveToIfNeeded(); // This can change the result of this->getLastPt().
SkPoint pt;
this->getLastPt(&pt);
return this->cubicTo(pt.fX + x1, pt.fY + y1, pt.fX + x2, pt.fY + y2,
pt.fX + x3, pt.fY + y3);
}
SkPath& SkPath::close() {
SkDEBUGCODE(this->validate();)
int count = fPathRef->countVerbs();
if (count > 0) {
switch (fPathRef->atVerb(count - 1)) {
case kLine_Verb:
case kQuad_Verb:
case kConic_Verb:
case kCubic_Verb:
case kMove_Verb: {
SkPathRef::Editor ed(&fPathRef);
ed.growForVerb(kClose_Verb);
break;
}
case kClose_Verb:
// don't add a close if it's the first verb or a repeat
break;
default:
SkDEBUGFAIL("unexpected verb");
break;
}
}
// signal that we need a moveTo to follow us (unless we're done)
#if 0
if (fLastMoveToIndex >= 0) {
fLastMoveToIndex = ~fLastMoveToIndex;
}
#else
fLastMoveToIndex ^= ~fLastMoveToIndex >> (8 * sizeof(fLastMoveToIndex) - 1);
#endif
return *this;
}
///////////////////////////////////////////////////////////////////////////////
static void assert_known_direction(SkPathDirection dir) {
SkASSERT(SkPathDirection::kCW == dir || SkPathDirection::kCCW == dir);
}
SkPath& SkPath::addRect(const SkRect &rect, SkPathDirection dir, unsigned startIndex) {
assert_known_direction(dir);
this->setFirstDirection(this->hasOnlyMoveTos() ? (SkPathFirstDirection)dir
: SkPathFirstDirection::kUnknown);
SkAutoDisableDirectionCheck addc(this);
SkAutoPathBoundsUpdate apbu(this, rect);
SkDEBUGCODE(int initialVerbCount = this->countVerbs());
const int kVerbs = 5; // moveTo + 3x lineTo + close
this->incReserve(kVerbs);
SkPath_RectPointIterator iter(rect, dir, startIndex);
this->moveTo(iter.current());
this->lineTo(iter.next());
this->lineTo(iter.next());
this->lineTo(iter.next());
this->close();
SkASSERT(this->countVerbs() == initialVerbCount + kVerbs);
return *this;
}
SkPath& SkPath::addPoly(const SkPoint pts[], int count, bool close) {
SkDEBUGCODE(this->validate();)
if (count <= 0) {
return *this;
}
fLastMoveToIndex = fPathRef->countPoints();
// +close makes room for the extra kClose_Verb
SkPathRef::Editor ed(&fPathRef, count+close, count);
ed.growForVerb(kMove_Verb)->set(pts[0].fX, pts[0].fY);
if (count > 1) {
SkPoint* p = ed.growForRepeatedVerb(kLine_Verb, count - 1);
memcpy(p, &pts[1], (count-1) * sizeof(SkPoint));
}
if (close) {
ed.growForVerb(kClose_Verb);
fLastMoveToIndex ^= ~fLastMoveToIndex >> (8 * sizeof(fLastMoveToIndex) - 1);
}
(void)this->dirtyAfterEdit();
SkDEBUGCODE(this->validate();)
return *this;
}
static bool arc_is_lone_point(const SkRect& oval, SkScalar startAngle, SkScalar sweepAngle,
SkPoint* pt) {
if (0 == sweepAngle && (0 == startAngle || SkIntToScalar(360) == startAngle)) {
// Chrome uses this path to move into and out of ovals. If not
// treated as a special case the moves can distort the oval's
// bounding box (and break the circle special case).
pt->set(oval.fRight, oval.centerY());
return true;
} else if (0 == oval.width() && 0 == oval.height()) {
// Chrome will sometimes create 0 radius round rects. Having degenerate
// quad segments in the path prevents the path from being recognized as
// a rect.
// TODO: optimizing the case where only one of width or height is zero
// should also be considered. This case, however, doesn't seem to be
// as common as the single point case.
pt->set(oval.fRight, oval.fTop);
return true;
}
return false;
}
// Return the unit vectors pointing at the start/stop points for the given start/sweep angles
//
static void angles_to_unit_vectors(SkScalar startAngle, SkScalar sweepAngle,
SkVector* startV, SkVector* stopV, SkRotationDirection* dir) {
SkScalar startRad = SkDegreesToRadians(startAngle),
stopRad = SkDegreesToRadians(startAngle + sweepAngle);
startV->fY = SkScalarSinSnapToZero(startRad);
startV->fX = SkScalarCosSnapToZero(startRad);
stopV->fY = SkScalarSinSnapToZero(stopRad);
stopV->fX = SkScalarCosSnapToZero(stopRad);
/* If the sweep angle is nearly (but less than) 360, then due to precision
loss in radians-conversion and/or sin/cos, we may end up with coincident
vectors, which will fool SkBuildQuadArc into doing nothing (bad) instead
of drawing a nearly complete circle (good).
e.g. canvas.drawArc(0, 359.99, ...)
-vs- canvas.drawArc(0, 359.9, ...)
We try to detect this edge case, and tweak the stop vector
*/
if (*startV == *stopV) {
SkScalar sw = SkScalarAbs(sweepAngle);
if (sw < SkIntToScalar(360) && sw > SkIntToScalar(359)) {
// make a guess at a tiny angle (in radians) to tweak by
SkScalar deltaRad = SkScalarCopySign(SK_Scalar1/512, sweepAngle);
// not sure how much will be enough, so we use a loop
do {
stopRad -= deltaRad;
stopV->fY = SkScalarSinSnapToZero(stopRad);
stopV->fX = SkScalarCosSnapToZero(stopRad);
} while (*startV == *stopV);
}
}
*dir = sweepAngle > 0 ? kCW_SkRotationDirection : kCCW_SkRotationDirection;
}
/**
* If this returns 0, then the caller should just line-to the singlePt, else it should
* ignore singlePt and append the specified number of conics.
*/
static int build_arc_conics(const SkRect& oval, const SkVector& start, const SkVector& stop,
SkRotationDirection dir, SkConic conics[SkConic::kMaxConicsForArc],
SkPoint* singlePt) {
SkMatrix matrix;
matrix.setScale(SkScalarHalf(oval.width()), SkScalarHalf(oval.height()));
matrix.postTranslate(oval.centerX(), oval.centerY());
int count = SkConic::BuildUnitArc(start, stop, dir, &matrix, conics);
if (0 == count) {
matrix.mapXY(stop.x(), stop.y(), singlePt);
}
return count;
}
SkPath& SkPath::addRoundRect(const SkRect& rect, const SkScalar radii[],
SkPathDirection dir) {
SkRRect rrect;
rrect.setRectRadii(rect, (const SkVector*) radii);
return this->addRRect(rrect, dir);
}
SkPath& SkPath::addRRect(const SkRRect& rrect, SkPathDirection dir) {
// legacy start indices: 6 (CW) and 7(CCW)
return this->addRRect(rrect, dir, dir == SkPathDirection::kCW ? 6 : 7);
}
SkPath& SkPath::addRRect(const SkRRect &rrect, SkPathDirection dir, unsigned startIndex) {
assert_known_direction(dir);
bool isRRect = hasOnlyMoveTos();
const SkRect& bounds = rrect.getBounds();
if (rrect.isRect() || rrect.isEmpty()) {
// degenerate(rect) => radii points are collapsing
this->addRect(bounds, dir, (startIndex + 1) / 2);
} else if (rrect.isOval()) {
// degenerate(oval) => line points are collapsing
this->addOval(bounds, dir, startIndex / 2);
} else {
this->setFirstDirection(this->hasOnlyMoveTos() ? (SkPathFirstDirection)dir
: SkPathFirstDirection::kUnknown);
SkAutoPathBoundsUpdate apbu(this, bounds);
SkAutoDisableDirectionCheck addc(this);
// we start with a conic on odd indices when moving CW vs. even indices when moving CCW
const bool startsWithConic = ((startIndex & 1) == (dir == SkPathDirection::kCW));
const SkScalar weight = SK_ScalarRoot2Over2;
SkDEBUGCODE(int initialVerbCount = this->countVerbs());
const int kVerbs = startsWithConic
? 9 // moveTo + 4x conicTo + 3x lineTo + close
: 10; // moveTo + 4x lineTo + 4x conicTo + close
this->incReserve(kVerbs);
SkPath_RRectPointIterator rrectIter(rrect, dir, startIndex);
// Corner iterator indices follow the collapsed radii model,
// adjusted such that the start pt is "behind" the radii start pt.
const unsigned rectStartIndex = startIndex / 2 + (dir == SkPathDirection::kCW ? 0 : 1);
SkPath_RectPointIterator rectIter(bounds, dir, rectStartIndex);
this->moveTo(rrectIter.current());
if (startsWithConic) {
for (unsigned i = 0; i < 3; ++i) {
this->conicTo(rectIter.next(), rrectIter.next(), weight);
this->lineTo(rrectIter.next());
}
this->conicTo(rectIter.next(), rrectIter.next(), weight);
// final lineTo handled by close().
} else {
for (unsigned i = 0; i < 4; ++i) {
this->lineTo(rrectIter.next());
this->conicTo(rectIter.next(), rrectIter.next(), weight);
}
}
this->close();
SkPathRef::Editor ed(&fPathRef);
ed.setIsRRect(isRRect, dir == SkPathDirection::kCCW, startIndex % 8);
SkASSERT(this->countVerbs() == initialVerbCount + kVerbs);
}
SkDEBUGCODE(fPathRef->validate();)
return *this;
}
bool SkPath::hasOnlyMoveTos() const {
int count = fPathRef->countVerbs();
const uint8_t* verbs = fPathRef->verbsBegin();
for (int i = 0; i < count; ++i) {
if (*verbs == kLine_Verb ||
*verbs == kQuad_Verb ||
*verbs == kConic_Verb ||
*verbs == kCubic_Verb) {
return false;
}
++verbs;
}
return true;
}
bool SkPath::isZeroLengthSincePoint(int startPtIndex) const {
int count = fPathRef->countPoints() - startPtIndex;
if (count < 2) {
return true;
}
const SkPoint* pts = fPathRef->points() + startPtIndex;
const SkPoint& first = *pts;
for (int index = 1; index < count; ++index) {
if (first != pts[index]) {
return false;
}
}
return true;
}
SkPath& SkPath::addRoundRect(const SkRect& rect, SkScalar rx, SkScalar ry,
SkPathDirection dir) {
assert_known_direction(dir);
if (rx < 0 || ry < 0) {
return *this;
}
SkRRect rrect;
rrect.setRectXY(rect, rx, ry);
return this->addRRect(rrect, dir);
}
SkPath& SkPath::addOval(const SkRect& oval, SkPathDirection dir) {
// legacy start index: 1
return this->addOval(oval, dir, 1);
}
SkPath& SkPath::addOval(const SkRect &oval, SkPathDirection dir, unsigned startPointIndex) {
assert_known_direction(dir);
/* If addOval() is called after previous moveTo(),
this path is still marked as an oval. This is used to
fit into WebKit's calling sequences.
We can't simply check isEmpty() in this case, as additional
moveTo() would mark the path non empty.
*/
bool isOval = hasOnlyMoveTos();
if (isOval) {
this->setFirstDirection((SkPathFirstDirection)dir);
} else {
this->setFirstDirection(SkPathFirstDirection::kUnknown);
}
SkAutoDisableDirectionCheck addc(this);
SkAutoPathBoundsUpdate apbu(this, oval);
SkDEBUGCODE(int initialVerbCount = this->countVerbs());
const int kVerbs = 6; // moveTo + 4x conicTo + close
this->incReserve(kVerbs);
SkPath_OvalPointIterator ovalIter(oval, dir, startPointIndex);
// The corner iterator pts are tracking "behind" the oval/radii pts.
SkPath_RectPointIterator rectIter(oval, dir, startPointIndex + (dir == SkPathDirection::kCW ? 0 : 1));
const SkScalar weight = SK_ScalarRoot2Over2;
this->moveTo(ovalIter.current());
for (unsigned i = 0; i < 4; ++i) {
this->conicTo(rectIter.next(), ovalIter.next(), weight);
}
this->close();
SkASSERT(this->countVerbs() == initialVerbCount + kVerbs);
SkPathRef::Editor ed(&fPathRef);
ed.setIsOval(isOval, SkPathDirection::kCCW == dir, startPointIndex % 4);
return *this;
}
SkPath& SkPath::addCircle(SkScalar x, SkScalar y, SkScalar r, SkPathDirection dir) {
if (r > 0) {
this->addOval(SkRect::MakeLTRB(x - r, y - r, x + r, y + r), dir);
}
return *this;
}
SkPath& SkPath::arcTo(const SkRect& oval, SkScalar startAngle, SkScalar sweepAngle,
bool forceMoveTo) {
if (oval.width() < 0 || oval.height() < 0) {
return *this;
}
startAngle = SkScalarMod(startAngle, 360.0f);
if (fPathRef->countVerbs() == 0) {
forceMoveTo = true;
}
SkPoint lonePt;
if (arc_is_lone_point(oval, startAngle, sweepAngle, &lonePt)) {
return forceMoveTo ? this->moveTo(lonePt) : this->lineTo(lonePt);
}
SkVector startV, stopV;
SkRotationDirection dir;
angles_to_unit_vectors(startAngle, sweepAngle, &startV, &stopV, &dir);
SkPoint singlePt;
// Adds a move-to to 'pt' if forceMoveTo is true. Otherwise a lineTo unless we're sufficiently
// close to 'pt' currently. This prevents spurious lineTos when adding a series of contiguous
// arcs from the same oval.
auto addPt = [&forceMoveTo, this](const SkPoint& pt) {
SkPoint lastPt;
if (forceMoveTo) {
this->moveTo(pt);
} else if (!this->getLastPt(&lastPt) ||
!SkScalarNearlyEqual(lastPt.fX, pt.fX) ||
!SkScalarNearlyEqual(lastPt.fY, pt.fY)) {
this->lineTo(pt);
}
};
// At this point, we know that the arc is not a lone point, but startV == stopV
// indicates that the sweepAngle is too small such that angles_to_unit_vectors
// cannot handle it.
if (startV == stopV) {
SkScalar endAngle = SkDegreesToRadians(startAngle + sweepAngle);
SkScalar radiusX = oval.width() / 2;
SkScalar radiusY = oval.height() / 2;
// We do not use SkScalar[Sin|Cos]SnapToZero here. When sin(startAngle) is 0 and sweepAngle
// is very small and radius is huge, the expected behavior here is to draw a line. But
// calling SkScalarSinSnapToZero will make sin(endAngle) be 0 which will then draw a dot.
singlePt.set(oval.centerX() + radiusX * SkScalarCos(endAngle),
oval.centerY() + radiusY * SkScalarSin(endAngle));
addPt(singlePt);
return *this;
}
SkConic conics[SkConic::kMaxConicsForArc];
int count = build_arc_conics(oval, startV, stopV, dir, conics, &singlePt);
if (count) {
this->incReserve(count * 2 + 1);
const SkPoint& pt = conics[0].fPts[0];
addPt(pt);
for (int i = 0; i < count; ++i) {
this->conicTo(conics[i].fPts[1], conics[i].fPts[2], conics[i].fW);
}
} else {
addPt(singlePt);
}
return *this;
}
// This converts the SVG arc to conics.
// Partly adapted from Niko's code in kdelibs/kdecore/svgicons.
// Then transcribed from webkit/chrome's SVGPathNormalizer::decomposeArcToCubic()
// See also SVG implementation notes:
// http://www.w3.org/TR/SVG/implnote.html#ArcConversionEndpointToCenter
// Note that arcSweep bool value is flipped from the original implementation.
SkPath& SkPath::arcTo(SkScalar rx, SkScalar ry, SkScalar angle, SkPath::ArcSize arcLarge,
SkPathDirection arcSweep, SkScalar x, SkScalar y) {
this->injectMoveToIfNeeded();
SkPoint srcPts[2];
this->getLastPt(&srcPts[0]);
// If rx = 0 or ry = 0 then this arc is treated as a straight line segment (a "lineto")
// joining the endpoints.
// http://www.w3.org/TR/SVG/implnote.html#ArcOutOfRangeParameters
if (!rx || !ry) {
return this->lineTo(x, y);
}
// If the current point and target point for the arc are identical, it should be treated as a
// zero length path. This ensures continuity in animations.
srcPts[1].set(x, y);
if (srcPts[0] == srcPts[1]) {
return this->lineTo(x, y);
}
rx = SkScalarAbs(rx);
ry = SkScalarAbs(ry);
SkVector midPointDistance = srcPts[0] - srcPts[1];
midPointDistance *= 0.5f;
SkMatrix pointTransform;
pointTransform.setRotate(-angle);
SkPoint transformedMidPoint;
pointTransform.mapPoints(&transformedMidPoint, &midPointDistance, 1);
SkScalar squareRx = rx * rx;
SkScalar squareRy = ry * ry;
SkScalar squareX = transformedMidPoint.fX * transformedMidPoint.fX;
SkScalar squareY = transformedMidPoint.fY * transformedMidPoint.fY;
// Check if the radii are big enough to draw the arc, scale radii if not.
// http://www.w3.org/TR/SVG/implnote.html#ArcCorrectionOutOfRangeRadii
SkScalar radiiScale = squareX / squareRx + squareY / squareRy;
if (radiiScale > 1) {
radiiScale = SkScalarSqrt(radiiScale);
rx *= radiiScale;
ry *= radiiScale;
}
pointTransform.setScale(1 / rx, 1 / ry);
pointTransform.preRotate(-angle);
SkPoint unitPts[2];
pointTransform.mapPoints(unitPts, srcPts, (int) std::size(unitPts));
SkVector delta = unitPts[1] - unitPts[0];
SkScalar d = delta.fX * delta.fX + delta.fY * delta.fY;
SkScalar scaleFactorSquared = std::max(1 / d - 0.25f, 0.f);
SkScalar scaleFactor = SkScalarSqrt(scaleFactorSquared);
if ((arcSweep == SkPathDirection::kCCW) != SkToBool(arcLarge)) { // flipped from the original implementation
scaleFactor = -scaleFactor;
}
delta.scale(scaleFactor);
SkPoint centerPoint = unitPts[0] + unitPts[1];
centerPoint *= 0.5f;
centerPoint.offset(-delta.fY, delta.fX);
unitPts[0] -= centerPoint;
unitPts[1] -= centerPoint;
SkScalar theta1 = SkScalarATan2(unitPts[0].fY, unitPts[0].fX);
SkScalar theta2 = SkScalarATan2(unitPts[1].fY, unitPts[1].fX);
SkScalar thetaArc = theta2 - theta1;
if (thetaArc < 0 && (arcSweep == SkPathDirection::kCW)) { // arcSweep flipped from the original implementation
thetaArc += SK_ScalarPI * 2;
} else if (thetaArc > 0 && (arcSweep != SkPathDirection::kCW)) { // arcSweep flipped from the original implementation
thetaArc -= SK_ScalarPI * 2;
}
// Very tiny angles cause our subsequent math to go wonky (skbug.com/9272)
// so we do a quick check here. The precise tolerance amount is just made up.
// PI/million happens to fix the bug in 9272, but a larger value is probably
// ok too.
if (SkScalarAbs(thetaArc) < (SK_ScalarPI / (1000 * 1000))) {
return this->lineTo(x, y);
}
pointTransform.setRotate(angle);
pointTransform.preScale(rx, ry);
// the arc may be slightly bigger than 1/4 circle, so allow up to 1/3rd
int segments = SkScalarCeilToInt(SkScalarAbs(thetaArc / (2 * SK_ScalarPI / 3)));
SkScalar thetaWidth = thetaArc / segments;
SkScalar t = SkScalarTan(0.5f * thetaWidth);
if (!SkScalarIsFinite(t)) {
return *this;
}
SkScalar startTheta = theta1;
SkScalar w = SkScalarSqrt(SK_ScalarHalf + SkScalarCos(thetaWidth) * SK_ScalarHalf);
auto scalar_is_integer = [](SkScalar scalar) -> bool {
return scalar == SkScalarFloorToScalar(scalar);
};
bool expectIntegers = SkScalarNearlyZero(SK_ScalarPI/2 - SkScalarAbs(thetaWidth)) &&
scalar_is_integer(rx) && scalar_is_integer(ry) &&
scalar_is_integer(x) && scalar_is_integer(y);
for (int i = 0; i < segments; ++i) {
SkScalar endTheta = startTheta + thetaWidth,
sinEndTheta = SkScalarSinSnapToZero(endTheta),
cosEndTheta = SkScalarCosSnapToZero(endTheta);
unitPts[1].set(cosEndTheta, sinEndTheta);
unitPts[1] += centerPoint;
unitPts[0] = unitPts[1];
unitPts[0].offset(t * sinEndTheta, -t * cosEndTheta);
SkPoint mapped[2];
pointTransform.mapPoints(mapped, unitPts, (int) std::size(unitPts));
/*
Computing the arc width introduces rounding errors that cause arcs to start
outside their marks. A round rect may lose convexity as a result. If the input
values are on integers, place the conic on integers as well.
*/
if (expectIntegers) {
for (SkPoint& point : mapped) {
point.fX = SkScalarRoundToScalar(point.fX);
point.fY = SkScalarRoundToScalar(point.fY);
}
}
this->conicTo(mapped[0], mapped[1], w);
startTheta = endTheta;
}
// The final point should match the input point (by definition); replace it to
// ensure that rounding errors in the above math don't cause any problems.
this->setLastPt(x, y);
return *this;
}
SkPath& SkPath::rArcTo(SkScalar rx, SkScalar ry, SkScalar xAxisRotate, SkPath::ArcSize largeArc,
SkPathDirection sweep, SkScalar dx, SkScalar dy) {
SkPoint currentPoint;
this->getLastPt(&currentPoint);
return this->arcTo(rx, ry, xAxisRotate, largeArc, sweep,
currentPoint.fX + dx, currentPoint.fY + dy);
}
SkPath& SkPath::addArc(const SkRect& oval, SkScalar startAngle, SkScalar sweepAngle) {
if (oval.isEmpty() || 0 == sweepAngle) {
return *this;
}
const SkScalar kFullCircleAngle = SkIntToScalar(360);
if (sweepAngle >= kFullCircleAngle || sweepAngle <= -kFullCircleAngle) {
// We can treat the arc as an oval if it begins at one of our legal starting positions.
// See SkPath::addOval() docs.
SkScalar startOver90 = startAngle / 90.f;
SkScalar startOver90I = SkScalarRoundToScalar(startOver90);
SkScalar error = startOver90 - startOver90I;
if (SkScalarNearlyEqual(error, 0)) {
// Index 1 is at startAngle == 0.
SkScalar startIndex = std::fmod(startOver90I + 1.f, 4.f);
startIndex = startIndex < 0 ? startIndex + 4.f : startIndex;
return this->addOval(oval, sweepAngle > 0 ? SkPathDirection::kCW : SkPathDirection::kCCW,
(unsigned) startIndex);
}
}
return this->arcTo(oval, startAngle, sweepAngle, true);
}
/*
Need to handle the case when the angle is sharp, and our computed end-points
for the arc go behind pt1 and/or p2...
*/
SkPath& SkPath::arcTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2, SkScalar radius) {
this->injectMoveToIfNeeded();
if (radius == 0) {
return this->lineTo(x1, y1);
}
// need to know our prev pt so we can construct tangent vectors
SkPoint start;
this->getLastPt(&start);
// need double precision for these calcs.
skvx::double2 befored = normalize(skvx::double2{x1 - start.fX, y1 - start.fY});
skvx::double2 afterd = normalize(skvx::double2{x2 - x1, y2 - y1});
double cosh = dot(befored, afterd);
double sinh = cross(befored, afterd);
// If the previous point equals the first point, befored will be denormalized.
// If the two points equal, afterd will be denormalized.
// If the second point equals the first point, sinh will be zero.
// In all these cases, we cannot construct an arc, so we construct a line to the first point.
if (!isfinite(befored) || !isfinite(afterd) || SkScalarNearlyZero(SkDoubleToScalar(sinh))) {
return this->lineTo(x1, y1);
}
// safe to convert back to floats now
SkScalar dist = SkScalarAbs(SkDoubleToScalar(radius * (1 - cosh) / sinh));
SkScalar xx = x1 - dist * befored[0];
SkScalar yy = y1 - dist * befored[1];
SkVector after = SkVector::Make(afterd[0], afterd[1]);
after.setLength(dist);
this->lineTo(xx, yy);
SkScalar weight = SkScalarSqrt(SkDoubleToScalar(SK_ScalarHalf + cosh * 0.5));
return this->conicTo(x1, y1, x1 + after.fX, y1 + after.fY, weight);
}
///////////////////////////////////////////////////////////////////////////////
SkPath& SkPath::addPath(const SkPath& path, SkScalar dx, SkScalar dy, AddPathMode mode) {
SkMatrix matrix;
matrix.setTranslate(dx, dy);
return this->addPath(path, matrix, mode);
}
SkPath& SkPath::addPath(const SkPath& srcPath, const SkMatrix& matrix, AddPathMode mode) {
if (srcPath.isEmpty()) {
return *this;
}
// Detect if we're trying to add ourself
const SkPath* src = &srcPath;
SkTLazy<SkPath> tmp;
if (this == src) {
src = tmp.set(srcPath);
}
if (kAppend_AddPathMode == mode && !matrix.hasPerspective()) {
fLastMoveToIndex = this->countPoints() + src->fLastMoveToIndex;
SkPathRef::Editor ed(&fPathRef);
auto [newPts, newWeights] = ed.growForVerbsInPath(*src->fPathRef);
matrix.mapPoints(newPts, src->fPathRef->points(), src->countPoints());
if (int numWeights = src->fPathRef->countWeights()) {
memcpy(newWeights, src->fPathRef->conicWeights(), numWeights * sizeof(newWeights[0]));
}
// fiddle with fLastMoveToIndex, as we do in SkPath::close()
if ((SkPathVerb)fPathRef->verbsEnd()[-1] == SkPathVerb::kClose) {
fLastMoveToIndex ^= ~fLastMoveToIndex >> (8 * sizeof(fLastMoveToIndex) - 1);
}
return this->dirtyAfterEdit();
}
SkMatrixPriv::MapPtsProc mapPtsProc = SkMatrixPriv::GetMapPtsProc(matrix);
bool firstVerb = true;
for (auto [verb, pts, w] : SkPathPriv::Iterate(*src)) {
SkPoint mappedPts[3];
switch (verb) {
case SkPathVerb::kMove:
mapPtsProc(matrix, mappedPts, &pts[0], 1);
if (firstVerb && mode == kExtend_AddPathMode && !isEmpty()) {
injectMoveToIfNeeded(); // In case last contour is closed
SkPoint lastPt;
// don't add lineTo if it is degenerate
if (fLastMoveToIndex < 0 || !this->getLastPt(&lastPt) ||
lastPt != mappedPts[0]) {
this->lineTo(mappedPts[0]);
}
} else {
this->moveTo(mappedPts[0]);
}
break;
case SkPathVerb::kLine:
mapPtsProc(matrix, mappedPts, &pts[1], 1);
this->lineTo(mappedPts[0]);
break;
case SkPathVerb::kQuad:
mapPtsProc(matrix, mappedPts, &pts[1], 2);
this->quadTo(mappedPts[0], mappedPts[1]);
break;
case SkPathVerb::kConic:
mapPtsProc(matrix, mappedPts, &pts[1], 2);
this->conicTo(mappedPts[0], mappedPts[1], *w);
break;
case SkPathVerb::kCubic:
mapPtsProc(matrix, mappedPts, &pts[1], 3);
this->cubicTo(mappedPts[0], mappedPts[1], mappedPts[2]);
break;
case SkPathVerb::kClose:
this->close();
break;
}
firstVerb = false;
}
return *this;
}
///////////////////////////////////////////////////////////////////////////////
// ignore the last point of the 1st contour
SkPath& SkPath::reversePathTo(const SkPath& path) {
if (path.fPathRef->fVerbs.empty()) {
return *this;
}
const uint8_t* verbs = path.fPathRef->verbsEnd();
const uint8_t* verbsBegin = path.fPathRef->verbsBegin();
SkASSERT(verbsBegin[0] == kMove_Verb);
const SkPoint* pts = path.fPathRef->pointsEnd() - 1;
const SkScalar* conicWeights = path.fPathRef->conicWeightsEnd();
while (verbs > verbsBegin) {
uint8_t v = *--verbs;
pts -= SkPathPriv::PtsInVerb(v);
switch (v) {
case kMove_Verb:
// if the path has multiple contours, stop after reversing the last
return *this;
case kLine_Verb:
this->lineTo(pts[0]);
break;
case kQuad_Verb:
this->quadTo(pts[1], pts[0]);
break;
case kConic_Verb:
this->conicTo(pts[1], pts[0], *--conicWeights);
break;
case kCubic_Verb:
this->cubicTo(pts[2], pts[1], pts[0]);
break;
case kClose_Verb:
break;
default:
SkDEBUGFAIL("bad verb");
break;
}
}
return *this;
}
SkPath& SkPath::reverseAddPath(const SkPath& srcPath) {
// Detect if we're trying to add ourself
const SkPath* src = &srcPath;
SkTLazy<SkPath> tmp;
if (this == src) {
src = tmp.set(srcPath);
}
const uint8_t* verbsBegin = src->fPathRef->verbsBegin();
const uint8_t* verbs = src->fPathRef->verbsEnd();
const SkPoint* pts = src->fPathRef->pointsEnd();
const SkScalar* conicWeights = src->fPathRef->conicWeightsEnd();
bool needMove = true;
bool needClose = false;
while (verbs > verbsBegin) {
uint8_t v = *--verbs;
int n = SkPathPriv::PtsInVerb(v);
if (needMove) {
--pts;
this->moveTo(pts->fX, pts->fY);
needMove = false;
}
pts -= n;
switch (v) {
case kMove_Verb:
if (needClose) {
this->close();
needClose = false;
}
needMove = true;
pts += 1; // so we see the point in "if (needMove)" above
break;
case kLine_Verb:
this->lineTo(pts[0]);
break;
case kQuad_Verb:
this->quadTo(pts[1], pts[0]);
break;
case kConic_Verb:
this->conicTo(pts[1], pts[0], *--conicWeights);
break;
case kCubic_Verb:
this->cubicTo(pts[2], pts[1], pts[0]);
break;
case kClose_Verb:
needClose = true;
break;
default:
SkDEBUGFAIL("unexpected verb");
}
}
return *this;
}
///////////////////////////////////////////////////////////////////////////////
void SkPath::offset(SkScalar dx, SkScalar dy, SkPath* dst) const {
SkMatrix matrix;
matrix.setTranslate(dx, dy);
this->transform(matrix, dst);
}
static void subdivide_cubic_to(SkPath* path, const SkPoint pts[4],
int level = 2) {
if (--level >= 0) {
SkPoint tmp[7];
SkChopCubicAtHalf(pts, tmp);
subdivide_cubic_to(path, &tmp[0], level);
subdivide_cubic_to(path, &tmp[3], level);
} else {
path->cubicTo(pts[1], pts[2], pts[3]);
}
}
void SkPath::transform(const SkMatrix& matrix, SkPath* dst, SkApplyPerspectiveClip pc) const {
if (matrix.isIdentity()) {
if (dst != nullptr && dst != this) {
*dst = *this;
}
return;
}
SkDEBUGCODE(this->validate();)
if (dst == nullptr) {
dst = (SkPath*)this;
}
if (matrix.hasPerspective()) {
SkPath tmp;
tmp.fFillType = fFillType;
SkPath clipped;
const SkPath* src = this;
if (pc == SkApplyPerspectiveClip::kYes &&
SkPathPriv::PerspectiveClip(*this, matrix, &clipped))
{
src = &clipped;
}
SkPath::Iter iter(*src, false);
SkPoint pts[4];
SkPath::Verb verb;
while ((verb = iter.next(pts)) != kDone_Verb) {
switch (verb) {
case kMove_Verb:
tmp.moveTo(pts[0]);
break;
case kLine_Verb:
tmp.lineTo(pts[1]);
break;
case kQuad_Verb:
// promote the quad to a conic
tmp.conicTo(pts[1], pts[2],
SkConic::TransformW(pts, SK_Scalar1, matrix));
break;
case kConic_Verb:
tmp.conicTo(pts[1], pts[2],
SkConic::TransformW(pts, iter.conicWeight(), matrix));
break;
case kCubic_Verb:
subdivide_cubic_to(&tmp, pts);
break;
case kClose_Verb:
tmp.close();
break;
default:
SkDEBUGFAIL("unknown verb");
break;
}
}
dst->swap(tmp);
SkPathRef::Editor ed(&dst->fPathRef);
matrix.mapPoints(ed.writablePoints(), ed.pathRef()->countPoints());
dst->setFirstDirection(SkPathFirstDirection::kUnknown);
} else {
SkPathConvexity convexity = this->getConvexityOrUnknown();
SkPathRef::CreateTransformedCopy(&dst->fPathRef, *fPathRef, matrix);
if (this != dst) {
dst->fLastMoveToIndex = fLastMoveToIndex;
dst->fFillType = fFillType;
dst->fIsVolatile = fIsVolatile;
}
// Due to finite/fragile float numerics, we can't assume that a convex path remains
// convex after a transformation, so mark it as unknown here.
// However, some transformations are thought to be safe:
// axis-aligned values under scale/translate.
//
if (convexity == SkPathConvexity::kConvex &&
(!matrix.isScaleTranslate() || !SkPathPriv::IsAxisAligned(*this))) {
// Not safe to still assume we're convex...
convexity = SkPathConvexity::kUnknown;
}
dst->setConvexity(convexity);
if (this->getFirstDirection() == SkPathFirstDirection::kUnknown) {
dst->setFirstDirection(SkPathFirstDirection::kUnknown);
} else {
SkScalar det2x2 =
matrix.get(SkMatrix::kMScaleX) * matrix.get(SkMatrix::kMScaleY) -
matrix.get(SkMatrix::kMSkewX) * matrix.get(SkMatrix::kMSkewY);
if (det2x2 < 0) {
dst->setFirstDirection(
SkPathPriv::OppositeFirstDirection(
(SkPathFirstDirection)this->getFirstDirection()));
} else if (det2x2 > 0) {
dst->setFirstDirection(this->getFirstDirection());
} else {
dst->setFirstDirection(SkPathFirstDirection::kUnknown);
}
}
SkDEBUGCODE(dst->validate();)
}
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
SkPath::Iter::Iter() {
#ifdef SK_DEBUG
fPts = nullptr;
fConicWeights = nullptr;
fMoveTo.fX = fMoveTo.fY = fLastPt.fX = fLastPt.fY = 0;
fForceClose = fCloseLine = false;
#endif
// need to init enough to make next() harmlessly return kDone_Verb
fVerbs = nullptr;
fVerbStop = nullptr;
fNeedClose = false;
}
SkPath::Iter::Iter(const SkPath& path, bool forceClose) {
this->setPath(path, forceClose);
}
void SkPath::Iter::setPath(const SkPath& path, bool forceClose) {
fPts = path.fPathRef->points();
fVerbs = path.fPathRef->verbsBegin();
fVerbStop = path.fPathRef->verbsEnd();
fConicWeights = path.fPathRef->conicWeights();
if (fConicWeights) {
fConicWeights -= 1; // begin one behind
}
fLastPt.fX = fLastPt.fY = 0;
fMoveTo.fX = fMoveTo.fY = 0;
fForceClose = SkToU8(forceClose);
fNeedClose = false;
}
bool SkPath::Iter::isClosedContour() const {
if (fVerbs == nullptr || fVerbs == fVerbStop) {
return false;
}
if (fForceClose) {
return true;
}
const uint8_t* verbs = fVerbs;
const uint8_t* stop = fVerbStop;
if (kMove_Verb == *verbs) {
verbs += 1; // skip the initial moveto
}
while (verbs < stop) {
// verbs points one beyond the current verb, decrement first.
unsigned v = *verbs++;
if (kMove_Verb == v) {
break;
}
if (kClose_Verb == v) {
return true;
}
}
return false;
}
SkPath::Verb SkPath::Iter::autoClose(SkPoint pts[2]) {
SkASSERT(pts);
if (fLastPt != fMoveTo) {
// A special case: if both points are NaN, SkPoint::operation== returns
// false, but the iterator expects that they are treated as the same.
// (consider SkPoint is a 2-dimension float point).
if (SkScalarIsNaN(fLastPt.fX) || SkScalarIsNaN(fLastPt.fY) ||
SkScalarIsNaN(fMoveTo.fX) || SkScalarIsNaN(fMoveTo.fY)) {
return kClose_Verb;
}
pts[0] = fLastPt;
pts[1] = fMoveTo;
fLastPt = fMoveTo;
fCloseLine = true;
return kLine_Verb;
} else {
pts[0] = fMoveTo;
return kClose_Verb;
}
}
SkPath::Verb SkPath::Iter::next(SkPoint ptsParam[4]) {
SkASSERT(ptsParam);
if (fVerbs == fVerbStop) {
// Close the curve if requested and if there is some curve to close
if (fNeedClose) {
if (kLine_Verb == this->autoClose(ptsParam)) {
return kLine_Verb;
}
fNeedClose = false;
return kClose_Verb;
}
return kDone_Verb;
}
unsigned verb = *fVerbs++;
const SkPoint* SK_RESTRICT srcPts = fPts;
SkPoint* SK_RESTRICT pts = ptsParam;
switch (verb) {
case kMove_Verb:
if (fNeedClose) {
fVerbs--; // move back one verb
verb = this->autoClose(pts);
if (verb == kClose_Verb) {
fNeedClose = false;
}
return (Verb)verb;
}
if (fVerbs == fVerbStop) { // might be a trailing moveto
return kDone_Verb;
}
fMoveTo = *srcPts;
pts[0] = *srcPts;
srcPts += 1;
fLastPt = fMoveTo;
fNeedClose = fForceClose;
break;
case kLine_Verb:
pts[0] = fLastPt;
pts[1] = srcPts[0];
fLastPt = srcPts[0];
fCloseLine = false;
srcPts += 1;
break;
case kConic_Verb:
fConicWeights += 1;
[[fallthrough]];
case kQuad_Verb:
pts[0] = fLastPt;
memcpy(&pts[1], srcPts, 2 * sizeof(SkPoint));
fLastPt = srcPts[1];
srcPts += 2;
break;
case kCubic_Verb:
pts[0] = fLastPt;
memcpy(&pts[1], srcPts, 3 * sizeof(SkPoint));
fLastPt = srcPts[2];
srcPts += 3;
break;
case kClose_Verb:
verb = this->autoClose(pts);
if (verb == kLine_Verb) {
fVerbs--; // move back one verb
} else {
fNeedClose = false;
}
fLastPt = fMoveTo;
break;
}
fPts = srcPts;
return (Verb)verb;
}
void SkPath::RawIter::setPath(const SkPath& path) {
SkPathPriv::Iterate iterate(path);
fIter = iterate.begin();
fEnd = iterate.end();
}
SkPath::Verb SkPath::RawIter::next(SkPoint pts[4]) {
if (!(fIter != fEnd)) {
return kDone_Verb;
}
auto [verb, iterPts, weights] = *fIter;
int numPts;
switch (verb) {
case SkPathVerb::kMove: numPts = 1; break;
case SkPathVerb::kLine: numPts = 2; break;
case SkPathVerb::kQuad: numPts = 3; break;
case SkPathVerb::kConic:
numPts = 3;
fConicWeight = *weights;
break;
case SkPathVerb::kCubic: numPts = 4; break;
case SkPathVerb::kClose: numPts = 0; break;
}
memcpy(pts, iterPts, sizeof(SkPoint) * numPts);
++fIter;
return (Verb) verb;
}
///////////////////////////////////////////////////////////////////////////////
static void append_params(SkString* str, const char label[], const SkPoint pts[],
int count, SkScalarAsStringType strType, SkScalar conicWeight = -12345) {
str->append(label);
str->append("(");
const SkScalar* values = &pts[0].fX;
count *= 2;
for (int i = 0; i < count; ++i) {
SkAppendScalar(str, values[i], strType);
if (i < count - 1) {
str->append(", ");
}
}
if (conicWeight != -12345) {
str->append(", ");
SkAppendScalar(str, conicWeight, strType);
}
str->append(");");
if (kHex_SkScalarAsStringType == strType) {
str->append(" // ");
for (int i = 0; i < count; ++i) {
SkAppendScalarDec(str, values[i]);
if (i < count - 1) {
str->append(", ");
}
}
if (conicWeight >= 0) {
str->append(", ");
SkAppendScalarDec(str, conicWeight);
}
}
str->append("\n");
}
void SkPath::dump(SkWStream* wStream, bool dumpAsHex) const {
SkScalarAsStringType asType = dumpAsHex ? kHex_SkScalarAsStringType : kDec_SkScalarAsStringType;
Iter iter(*this, false);
SkPoint pts[4];
Verb verb;
SkString builder;
char const * const gFillTypeStrs[] = {
"Winding",
"EvenOdd",
"InverseWinding",
"InverseEvenOdd",
};
builder.printf("path.setFillType(SkPathFillType::k%s);\n",
gFillTypeStrs[(int) this->getFillType()]);
while ((verb = iter.next(pts)) != kDone_Verb) {
switch (verb) {
case kMove_Verb:
append_params(&builder, "path.moveTo", &pts[0], 1, asType);
break;
case kLine_Verb:
append_params(&builder, "path.lineTo", &pts[1], 1, asType);
break;
case kQuad_Verb:
append_params(&builder, "path.quadTo", &pts[1], 2, asType);
break;
case kConic_Verb:
append_params(&builder, "path.conicTo", &pts[1], 2, asType, iter.conicWeight());
break;
case kCubic_Verb:
append_params(&builder, "path.cubicTo", &pts[1], 3, asType);
break;
case kClose_Verb:
builder.append("path.close();\n");
break;
default:
SkDebugf(" path: UNKNOWN VERB %d, aborting dump...\n", verb);
verb = kDone_Verb; // stop the loop
break;
}
if (!wStream && builder.size()) {
SkDebugf("%s", builder.c_str());
builder.reset();
}
}
if (wStream) {
wStream->writeText(builder.c_str());
}
}
void SkPath::dumpArrays(SkWStream* wStream, bool dumpAsHex) const {
SkString builder;
auto bool_str = [](bool v) { return v ? "true" : "false"; };
builder.appendf("// fBoundsIsDirty = %s\n", bool_str(fPathRef->fBoundsIsDirty));
builder.appendf("// fGenerationID = %d\n", fPathRef->fGenerationID);
builder.appendf("// fSegmentMask = %d\n", fPathRef->fSegmentMask);
builder.appendf("// fIsOval = %s\n", bool_str(fPathRef->fIsOval));
builder.appendf("// fIsRRect = %s\n", bool_str(fPathRef->fIsRRect));
auto append_scalar = [&](SkScalar v) {
if (dumpAsHex) {
builder.appendf("SkBits2Float(0x%08X) /* %g */", SkFloat2Bits(v), v);
} else {
builder.appendf("%g", v);
}
};
builder.append("const SkPoint path_points[] = {\n");
for (int i = 0; i < this->countPoints(); ++i) {
SkPoint p = this->getPoint(i);
builder.append(" { ");
append_scalar(p.fX);
builder.append(", ");
append_scalar(p.fY);
builder.append(" },\n");
}
builder.append("};\n");
const char* gVerbStrs[] = {
"Move", "Line", "Quad", "Conic", "Cubic", "Close"
};
builder.append("const uint8_t path_verbs[] = {\n ");
for (auto v = fPathRef->verbsBegin(); v != fPathRef->verbsEnd(); ++v) {
builder.appendf("(uint8_t)SkPathVerb::k%s, ", gVerbStrs[*v]);
}
builder.append("\n};\n");
const int nConics = fPathRef->conicWeightsEnd() - fPathRef->conicWeights();
if (nConics) {
builder.append("const SkScalar path_conics[] = {\n ");
for (auto c = fPathRef->conicWeights(); c != fPathRef->conicWeightsEnd(); ++c) {
append_scalar(*c);
builder.append(", ");
}
builder.append("\n};\n");
}
char const * const gFillTypeStrs[] = {
"Winding",
"EvenOdd",
"InverseWinding",
"InverseEvenOdd",
};
builder.appendf("SkPath path = SkPath::Make(path_points, %d, path_verbs, %d, %s, %d,\n",
this->countPoints(), this->countVerbs(),
nConics ? "path_conics" : "nullptr", nConics);
builder.appendf(" SkPathFillType::k%s, %s);\n",
gFillTypeStrs[(int)this->getFillType()],
bool_str(fIsVolatile));
if (wStream) {
wStream->writeText(builder.c_str());
} else {
SkDebugf("%s\n", builder.c_str());
}
}
bool SkPath::isValidImpl() const {
if ((fFillType & ~3) != 0) {
return false;
}
#ifdef SK_DEBUG_PATH
if (!fBoundsIsDirty) {
SkRect bounds;
bool isFinite = compute_pt_bounds(&bounds, *fPathRef.get());
if (SkToBool(fIsFinite) != isFinite) {
return false;
}
if (fPathRef->countPoints() <= 1) {
// if we're empty, fBounds may be empty but translated, so we can't
// necessarily compare to bounds directly
// try path.addOval(2, 2, 2, 2) which is empty, but the bounds will
// be [2, 2, 2, 2]
if (!bounds.isEmpty() || !fBounds.isEmpty()) {
return false;
}
} else {
if (bounds.isEmpty()) {
if (!fBounds.isEmpty()) {
return false;
}
} else {
if (!fBounds.isEmpty()) {
if (!fBounds.contains(bounds)) {
return false;
}
}
}
}
}
#endif // SK_DEBUG_PATH
return true;
}
///////////////////////////////////////////////////////////////////////////////
static int sign(SkScalar x) { return x < 0; }
#define kValueNeverReturnedBySign 2
enum DirChange {
kUnknown_DirChange,
kLeft_DirChange,
kRight_DirChange,
kStraight_DirChange,
kBackwards_DirChange, // if double back, allow simple lines to be convex
kInvalid_DirChange
};
// only valid for a single contour
struct Convexicator {
/** The direction returned is only valid if the path is determined convex */
SkPathFirstDirection getFirstDirection() const { return fFirstDirection; }
void setMovePt(const SkPoint& pt) {
fFirstPt = fLastPt = pt;
fExpectedDir = kInvalid_DirChange;
}
bool addPt(const SkPoint& pt) {
if (fLastPt == pt) {
return true;
}
// should only be true for first non-zero vector after setMovePt was called.
if (fFirstPt == fLastPt && fExpectedDir == kInvalid_DirChange) {
fLastVec = pt - fLastPt;
fFirstVec = fLastVec;
} else if (!this->addVec(pt - fLastPt)) {
return false;
}
fLastPt = pt;
return true;
}
static SkPathConvexity BySign(const SkPoint points[], int count) {
if (count <= 3) {
// point, line, or triangle are always convex
return SkPathConvexity::kConvex;
}
const SkPoint* last = points + count;
SkPoint currPt = *points++;
SkPoint firstPt = currPt;
int dxes = 0;
int dyes = 0;
int lastSx = kValueNeverReturnedBySign;
int lastSy = kValueNeverReturnedBySign;
for (int outerLoop = 0; outerLoop < 2; ++outerLoop ) {
while (points != last) {
SkVector vec = *points - currPt;
if (!vec.isZero()) {
// give up if vector construction failed
if (!vec.isFinite()) {
return SkPathConvexity::kUnknown;
}
int sx = sign(vec.fX);
int sy = sign(vec.fY);
dxes += (sx != lastSx);
dyes += (sy != lastSy);
if (dxes > 3 || dyes > 3) {
return SkPathConvexity::kConcave;
}
lastSx = sx;
lastSy = sy;
}
currPt = *points++;
if (outerLoop) {
break;
}
}
points = &firstPt;
}
return SkPathConvexity::kConvex; // that is, it may be convex, don't know yet
}
bool close() {
// If this was an explicit close, there was already a lineTo to fFirstPoint, so this
// addPt() is a no-op. Otherwise, the addPt implicitly closes the contour. In either case,
// we have to check the direction change along the first vector in case it is concave.
return this->addPt(fFirstPt) && this->addVec(fFirstVec);
}
bool isFinite() const {
return fIsFinite;
}
int reversals() const {
return fReversals;
}
private:
DirChange directionChange(const SkVector& curVec) {
SkScalar cross = SkPoint::CrossProduct(fLastVec, curVec);
if (!SkScalarIsFinite(cross)) {
return kUnknown_DirChange;
}
if (cross == 0) {
return fLastVec.dot(curVec) < 0 ? kBackwards_DirChange : kStraight_DirChange;
}
return 1 == SkScalarSignAsInt(cross) ? kRight_DirChange : kLeft_DirChange;
}
bool addVec(const SkVector& curVec) {
DirChange dir = this->directionChange(curVec);
switch (dir) {
case kLeft_DirChange: // fall through
case kRight_DirChange:
if (kInvalid_DirChange == fExpectedDir) {
fExpectedDir = dir;
fFirstDirection = (kRight_DirChange == dir) ? SkPathFirstDirection::kCW
: SkPathFirstDirection::kCCW;
} else if (dir != fExpectedDir) {
fFirstDirection = SkPathFirstDirection::kUnknown;
return false;
}
fLastVec = curVec;
break;
case kStraight_DirChange:
break;
case kBackwards_DirChange:
// allow path to reverse direction twice
// Given path.moveTo(0, 0); path.lineTo(1, 1);
// - 1st reversal: direction change formed by line (0,0 1,1), line (1,1 0,0)
// - 2nd reversal: direction change formed by line (1,1 0,0), line (0,0 1,1)
fLastVec = curVec;
return ++fReversals < 3;
case kUnknown_DirChange:
return (fIsFinite = false);
case kInvalid_DirChange:
SK_ABORT("Use of invalid direction change flag");
break;
}
return true;
}
SkPoint fFirstPt {0, 0}; // The first point of the contour, e.g. moveTo(x,y)
SkVector fFirstVec {0, 0}; // The direction leaving fFirstPt to the next vertex
SkPoint fLastPt {0, 0}; // The last point passed to addPt()
SkVector fLastVec {0, 0}; // The direction that brought the path to fLastPt
DirChange fExpectedDir { kInvalid_DirChange };
SkPathFirstDirection fFirstDirection { SkPathFirstDirection::kUnknown };
int fReversals { 0 };
bool fIsFinite { true };
};
SkPathConvexity SkPath::computeConvexity() const {
auto setComputedConvexity = [=](SkPathConvexity convexity){
SkASSERT(SkPathConvexity::kUnknown != convexity);
this->setConvexity(convexity);
return convexity;
};
auto setFail = [=](){
return setComputedConvexity(SkPathConvexity::kConcave);
};
if (!this->isFinite()) {
return setFail();
}
// pointCount potentially includes a block of leading moveTos and trailing moveTos. Convexity
// only cares about the last of the initial moveTos and the verbs before the final moveTos.
int pointCount = this->countPoints();
int skipCount = SkPathPriv::LeadingMoveToCount(*this) - 1;
if (fLastMoveToIndex >= 0) {
if (fLastMoveToIndex == pointCount - 1) {
// Find the last real verb that affects convexity
auto verbs = fPathRef->verbsEnd() - 1;
while(verbs > fPathRef->verbsBegin() && *verbs == Verb::kMove_Verb) {
verbs--;
pointCount--;
}
} else if (fLastMoveToIndex != skipCount) {
// There's an additional moveTo between two blocks of other verbs, so the path must have
// more than one contour and cannot be convex.
return setComputedConvexity(SkPathConvexity::kConcave);
} // else no trailing or intermediate moveTos to worry about
}
const SkPoint* points = fPathRef->points();
if (skipCount > 0) {
points += skipCount;
pointCount -= skipCount;
}
// Check to see if path changes direction more than three times as quick concave test
SkPathConvexity convexity = Convexicator::BySign(points, pointCount);
if (SkPathConvexity::kConvex != convexity) {
return setComputedConvexity(SkPathConvexity::kConcave);
}
int contourCount = 0;
bool needsClose = false;
Convexicator state;
for (auto [verb, pts, wt] : SkPathPriv::Iterate(*this)) {
// Looking for the last moveTo before non-move verbs start
if (contourCount == 0) {
if (verb == SkPathVerb::kMove) {
state.setMovePt(pts[0]);
} else {
// Starting the actual contour, fall through to c=1 to add the points
contourCount++;
needsClose = true;
}
}
// Accumulating points into the Convexicator until we hit a close or another move
if (contourCount == 1) {
if (verb == SkPathVerb::kClose || verb == SkPathVerb::kMove) {
if (!state.close()) {
return setFail();
}
needsClose = false;
contourCount++;
} else {
// lines add 1 point, cubics add 3, conics and quads add 2
int count = SkPathPriv::PtsInVerb((unsigned) verb);
SkASSERT(count > 0);
for (int i = 1; i <= count; ++i) {
if (!state.addPt(pts[i])) {
return setFail();
}
}
}
} else {
// The first contour has closed and anything other than spurious trailing moves means
// there's multiple contours and the path can't be convex
if (verb != SkPathVerb::kMove) {
return setFail();
}
}
}
// If the path isn't explicitly closed do so implicitly
if (needsClose && !state.close()) {
return setFail();
}
if (this->getFirstDirection() == SkPathFirstDirection::kUnknown) {
if (state.getFirstDirection() == SkPathFirstDirection::kUnknown
&& !this->getBounds().isEmpty()) {
return setComputedConvexity(state.reversals() < 3 ?
SkPathConvexity::kConvex : SkPathConvexity::kConcave);
}
this->setFirstDirection(state.getFirstDirection());
}
return setComputedConvexity(SkPathConvexity::kConvex);
}
///////////////////////////////////////////////////////////////////////////////
class ContourIter {
public:
ContourIter(const SkPathRef& pathRef);
bool done() const { return fDone; }
// if !done() then these may be called
int count() const { return fCurrPtCount; }
const SkPoint* pts() const { return fCurrPt; }
void next();
private:
int fCurrPtCount;
const SkPoint* fCurrPt;
const uint8_t* fCurrVerb;
const uint8_t* fStopVerbs;
const SkScalar* fCurrConicWeight;
bool fDone;
SkDEBUGCODE(int fContourCounter;)
};
ContourIter::ContourIter(const SkPathRef& pathRef) {
fStopVerbs = pathRef.verbsEnd();
fDone = false;
fCurrPt = pathRef.points();
fCurrVerb = pathRef.verbsBegin();
fCurrConicWeight = pathRef.conicWeights();
fCurrPtCount = 0;
SkDEBUGCODE(fContourCounter = 0;)
this->next();
}
void ContourIter::next() {
if (fCurrVerb >= fStopVerbs) {
fDone = true;
}
if (fDone) {
return;
}
// skip pts of prev contour
fCurrPt += fCurrPtCount;
SkASSERT(SkPath::kMove_Verb == fCurrVerb[0]);
int ptCount = 1; // moveTo
const uint8_t* verbs = fCurrVerb;
for (verbs++; verbs < fStopVerbs; verbs++) {
switch (*verbs) {
case SkPath::kMove_Verb:
goto CONTOUR_END;
case SkPath::kLine_Verb:
ptCount += 1;
break;
case SkPath::kConic_Verb:
fCurrConicWeight += 1;
[[fallthrough]];
case SkPath::kQuad_Verb:
ptCount += 2;
break;
case SkPath::kCubic_Verb:
ptCount += 3;
break;
case SkPath::kClose_Verb:
break;
default:
SkDEBUGFAIL("unexpected verb");
break;
}
}
CONTOUR_END:
fCurrPtCount = ptCount;
fCurrVerb = verbs;
SkDEBUGCODE(++fContourCounter;)
}
// returns cross product of (p1 - p0) and (p2 - p0)
static SkScalar cross_prod(const SkPoint& p0, const SkPoint& p1, const SkPoint& p2) {
SkScalar cross = SkPoint::CrossProduct(p1 - p0, p2 - p0);
// We may get 0 when the above subtracts underflow. We expect this to be
// very rare and lazily promote to double.
if (0 == cross) {
double p0x = SkScalarToDouble(p0.fX);
double p0y = SkScalarToDouble(p0.fY);
double p1x = SkScalarToDouble(p1.fX);
double p1y = SkScalarToDouble(p1.fY);
double p2x = SkScalarToDouble(p2.fX);
double p2y = SkScalarToDouble(p2.fY);
cross = SkDoubleToScalar((p1x - p0x) * (p2y - p0y) -
(p1y - p0y) * (p2x - p0x));
}
return cross;
}
// Returns the first pt with the maximum Y coordinate
static int find_max_y(const SkPoint pts[], int count) {
SkASSERT(count > 0);
SkScalar max = pts[0].fY;
int firstIndex = 0;
for (int i = 1; i < count; ++i) {
SkScalar y = pts[i].fY;
if (y > max) {
max = y;
firstIndex = i;
}
}
return firstIndex;
}
static int find_diff_pt(const SkPoint pts[], int index, int n, int inc) {
int i = index;
for (;;) {
i = (i + inc) % n;
if (i == index) { // we wrapped around, so abort
break;
}
if (pts[index] != pts[i]) { // found a different point, success!
break;
}
}
return i;
}
/**
* Starting at index, and moving forward (incrementing), find the xmin and
* xmax of the contiguous points that have the same Y.
*/
static int find_min_max_x_at_y(const SkPoint pts[], int index, int n,
int* maxIndexPtr) {
const SkScalar y = pts[index].fY;
SkScalar min = pts[index].fX;
SkScalar max = min;
int minIndex = index;
int maxIndex = index;
for (int i = index + 1; i < n; ++i) {
if (pts[i].fY != y) {
break;
}
SkScalar x = pts[i].fX;
if (x < min) {
min = x;
minIndex = i;
} else if (x > max) {
max = x;
maxIndex = i;
}
}
*maxIndexPtr = maxIndex;
return minIndex;
}
static SkPathFirstDirection crossToDir(SkScalar cross) {
return cross > 0 ? SkPathFirstDirection::kCW : SkPathFirstDirection::kCCW;
}
/*
* We loop through all contours, and keep the computed cross-product of the
* contour that contained the global y-max. If we just look at the first
* contour, we may find one that is wound the opposite way (correctly) since
* it is the interior of a hole (e.g. 'o'). Thus we must find the contour
* that is outer most (or at least has the global y-max) before we can consider
* its cross product.
*/
SkPathFirstDirection SkPathPriv::ComputeFirstDirection(const SkPath& path) {
auto d = path.getFirstDirection();
if (d != SkPathFirstDirection::kUnknown) {
return d;
}
// We don't want to pay the cost for computing convexity if it is unknown,
// so we call getConvexityOrUnknown() instead of isConvex().
if (path.getConvexityOrUnknown() == SkPathConvexity::kConvex) {
SkASSERT(d == SkPathFirstDirection::kUnknown);
return d;
}
ContourIter iter(*path.fPathRef);
// initialize with our logical y-min
SkScalar ymax = path.getBounds().fTop;
SkScalar ymaxCross = 0;
for (; !iter.done(); iter.next()) {
int n = iter.count();
if (n < 3) {
continue;
}
const SkPoint* pts = iter.pts();
SkScalar cross = 0;
int index = find_max_y(pts, n);
if (pts[index].fY < ymax) {
continue;
}
// If there is more than 1 distinct point at the y-max, we take the
// x-min and x-max of them and just subtract to compute the dir.
if (pts[(index + 1) % n].fY == pts[index].fY) {
int maxIndex;
int minIndex = find_min_max_x_at_y(pts, index, n, &maxIndex);
if (minIndex == maxIndex) {
goto TRY_CROSSPROD;
}
SkASSERT(pts[minIndex].fY == pts[index].fY);
SkASSERT(pts[maxIndex].fY == pts[index].fY);
SkASSERT(pts[minIndex].fX <= pts[maxIndex].fX);
// we just subtract the indices, and let that auto-convert to
// SkScalar, since we just want - or + to signal the direction.
cross = minIndex - maxIndex;
} else {
TRY_CROSSPROD:
// Find a next and prev index to use for the cross-product test,
// but we try to find pts that form non-zero vectors from pts[index]
//
// Its possible that we can't find two non-degenerate vectors, so
// we have to guard our search (e.g. all the pts could be in the
// same place).
// we pass n - 1 instead of -1 so we don't foul up % operator by
// passing it a negative LH argument.
int prev = find_diff_pt(pts, index, n, n - 1);
if (prev == index) {
// completely degenerate, skip to next contour
continue;
}
int next = find_diff_pt(pts, index, n, 1);
SkASSERT(next != index);
cross = cross_prod(pts[prev], pts[index], pts[next]);
// if we get a zero and the points are horizontal, then we look at the spread in
// x-direction. We really should continue to walk away from the degeneracy until
// there is a divergence.
if (0 == cross && pts[prev].fY == pts[index].fY && pts[next].fY == pts[index].fY) {
// construct the subtract so we get the correct Direction below
cross = pts[index].fX - pts[next].fX;
}
}
if (cross) {
// record our best guess so far
ymax = pts[index].fY;
ymaxCross = cross;
}
}
if (ymaxCross) {
d = crossToDir(ymaxCross);
path.setFirstDirection(d);
}
return d; // may still be kUnknown
}
///////////////////////////////////////////////////////////////////////////////
static bool between(SkScalar a, SkScalar b, SkScalar c) {
SkASSERT(((a <= b && b <= c) || (a >= b && b >= c)) == ((a - b) * (c - b) <= 0)
|| (SkScalarNearlyZero(a) && SkScalarNearlyZero(b) && SkScalarNearlyZero(c)));
return (a - b) * (c - b) <= 0;
}
static SkScalar eval_cubic_pts(SkScalar c0, SkScalar c1, SkScalar c2, SkScalar c3,
SkScalar t) {
SkScalar A = c3 + 3*(c1 - c2) - c0;
SkScalar B = 3*(c2 - c1 - c1 + c0);
SkScalar C = 3*(c1 - c0);
SkScalar D = c0;
return poly_eval(A, B, C, D, t);
}
template <size_t N> static void find_minmax(const SkPoint pts[],
SkScalar* minPtr, SkScalar* maxPtr) {
SkScalar min, max;
min = max = pts[0].fX;
for (size_t i = 1; i < N; ++i) {
min = std::min(min, pts[i].fX);
max = std::max(max, pts[i].fX);
}
*minPtr = min;
*maxPtr = max;
}
static bool checkOnCurve(SkScalar x, SkScalar y, const SkPoint& start, const SkPoint& end) {
if (start.fY == end.fY) {
return between(start.fX, x, end.fX) && x != end.fX;
} else {
return x == start.fX && y == start.fY;
}
}
static int winding_mono_cubic(const SkPoint pts[], SkScalar x, SkScalar y, int* onCurveCount) {
SkScalar y0 = pts[0].fY;
SkScalar y3 = pts[3].fY;
int dir = 1;
if (y0 > y3) {
using std::swap;
swap(y0, y3);
dir = -1;
}
if (y < y0 || y > y3) {
return 0;
}
if (checkOnCurve(x, y, pts[0], pts[3])) {
*onCurveCount += 1;
return 0;
}
if (y == y3) {
return 0;
}
// quickreject or quickaccept
SkScalar min, max;
find_minmax<4>(pts, &min, &max);
if (x < min) {
return 0;
}
if (x > max) {
return dir;
}
// compute the actual x(t) value
SkScalar t;
if (!SkCubicClipper::ChopMonoAtY(pts, y, &t)) {
return 0;
}
SkScalar xt = eval_cubic_pts(pts[0].fX, pts[1].fX, pts[2].fX, pts[3].fX, t);
if (SkScalarNearlyEqual(xt, x)) {
if (x != pts[3].fX || y != pts[3].fY) { // don't test end points; they're start points
*onCurveCount += 1;
return 0;
}
}
return xt < x ? dir : 0;
}
static int winding_cubic(const SkPoint pts[], SkScalar x, SkScalar y, int* onCurveCount) {
SkPoint dst[10];
int n = SkChopCubicAtYExtrema(pts, dst);
int w = 0;
for (int i = 0; i <= n; ++i) {
w += winding_mono_cubic(&dst[i * 3], x, y, onCurveCount);
}
return w;
}
static double conic_eval_numerator(const SkScalar src[], SkScalar w, SkScalar t) {
SkASSERT(src);
SkASSERT(t >= 0 && t <= 1);
SkScalar src2w = src[2] * w;
SkScalar C = src[0];
SkScalar A = src[4] - 2 * src2w + C;
SkScalar B = 2 * (src2w - C);
return poly_eval(A, B, C, t);
}
static double conic_eval_denominator(SkScalar w, SkScalar t) {
SkScalar B = 2 * (w - 1);
SkScalar C = 1;
SkScalar A = -B;
return poly_eval(A, B, C, t);
}
static int winding_mono_conic(const SkConic& conic, SkScalar x, SkScalar y, int* onCurveCount) {
const SkPoint* pts = conic.fPts;
SkScalar y0 = pts[0].fY;
SkScalar y2 = pts[2].fY;
int dir = 1;
if (y0 > y2) {
using std::swap;
swap(y0, y2);
dir = -1;
}