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ara-mdk / platform / external / skia / 80bacfeb4bda06541e8695bd502229727bccfeab / . / src / core / SkPath.cpp
blob: eb0e485ab33bde164094edeb373c6320f746865b [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 "SkPath.h"
#include "SkBuffer.h"
#include "SkMath.h"
#include "SkPathRef.h"
#include "SkThread.h"
////////////////////////////////////////////////////////////////////////////
#if SK_DEBUG_PATH_REF
SkPath::PathRefDebugRef::PathRefDebugRef(SkPath* owner) : fOwner(owner) {}
SkPath::PathRefDebugRef::PathRefDebugRef(SkPathRef* pr, SkPath* owner)
: fPathRef(pr)
, fOwner(owner) {
pr->addOwner(owner);
}
SkPath::PathRefDebugRef::~PathRefDebugRef() {
fPathRef->removeOwner(fOwner);
}
void SkPath::PathRefDebugRef::reset(SkPathRef* ref) {
bool diff = (ref != fPathRef.get());
if (diff && NULL != fPathRef.get()) {
fPathRef.get()->removeOwner(fOwner);
}
fPathRef.reset(ref);
if (diff && NULL != fPathRef.get()) {
fPathRef.get()->addOwner(fOwner);
}
}
void SkPath::PathRefDebugRef::swap(SkPath::PathRefDebugRef* other) {
if (other->fPathRef.get() != fPathRef.get()) {
other->fPathRef->removeOwner(other->fOwner);
other->fPathRef->addOwner(fOwner);
fPathRef->removeOwner(fOwner);
fPathRef->addOwner(other->fOwner);
}
fPathRef.swap(&other->fPathRef);
}
SkPathRef* SkPath::PathRefDebugRef::get() const { return fPathRef.get(); }
SkAutoTUnref<SkPathRef>::BlockRefType *SkPath::PathRefDebugRef::operator->() const {
return fPathRef.operator->();
}
SkPath::PathRefDebugRef::operator SkPathRef*() {
return fPathRef.operator SkPathRef *();
}
#endif
////////////////////////////////////////////////////////////////////////////
SK_DEFINE_INST_COUNT(SkPath);
// This value is just made-up for now. When count is 4, calling memset was much
// slower than just writing the loop. This seems odd, and hopefully in the
// future this we appear to have been a fluke...
#define MIN_COUNT_FOR_MEMSET_TO_BE_FAST 16
////////////////////////////////////////////////////////////////////////////
/**
* 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 = SkMinScalar(dst->fLeft, src.fLeft);
dst->fTop = SkMinScalar(dst->fTop, src.fTop);
dst->fRight = SkMaxScalar(dst->fRight, src.fRight);
dst->fBottom = SkMaxScalar(dst->fBottom, src.fBottom);
}
static bool is_degenerate(const SkPath& path) {
SkPath::Iter iter(path, false);
SkPoint pts[4];
return SkPath::kDone_Verb == iter.next(pts);
}
class SkAutoDisableOvalCheck {
public:
SkAutoDisableOvalCheck(SkPath* path) : fPath(path) {
fSaved = fPath->fIsOval;
}
~SkAutoDisableOvalCheck() {
fPath->fIsOval = fSaved;
}
private:
SkPath* fPath;
bool fSaved;
};
/* This guy'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 the 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) : fRect(r) {
this->init(path);
}
SkAutoPathBoundsUpdate(SkPath* path, SkScalar left, SkScalar top,
SkScalar right, SkScalar bottom) {
fRect.set(left, top, right, bottom);
this->init(path);
}
~SkAutoPathBoundsUpdate() {
fPath->setIsConvex(fDegenerate);
if (fEmpty) {
fPath->fBounds = fRect;
fPath->fBoundsIsDirty = false;
fPath->fIsFinite = fPath->fBounds.isFinite();
} else if (!fDirty) {
joinNoEmptyChecks(&fPath->fBounds, fRect);
fPath->fBoundsIsDirty = false;
fPath->fIsFinite = fPath->fBounds.isFinite();
}
}
private:
SkPath* fPath;
SkRect fRect;
bool fDirty;
bool fDegenerate;
bool fEmpty;
// returns true if we should proceed
void init(SkPath* path) {
fPath = path;
fDirty = SkToBool(path->fBoundsIsDirty);
fDegenerate = is_degenerate(*path);
fEmpty = path->isEmpty();
// Cannot use fRect for our bounds unless we know it is sorted
fRect.sort();
}
};
// Return true if the computed bounds are finite.
static bool compute_pt_bounds(SkRect* bounds, const SkPathRef& ref) {
int count = ref.countPoints();
if (count <= 1) { // we ignore just 1 point (moveto)
bounds->setEmpty();
return count ? ref.points()->isFinite() : true;
} else {
return bounds->setBoundsCheck(ref.points(), count);
}
}
////////////////////////////////////////////////////////////////////////////
/*
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.
#define INITIAL_LASTMOVETOINDEX_VALUE ~0
SkPath::SkPath()
#if SK_DEBUG_PATH_REF
: fPathRef(SkPathRef::CreateEmpty(), this)
#else
: fPathRef(SkPathRef::CreateEmpty())
#endif
, fFillType(kWinding_FillType)
, fBoundsIsDirty(true) {
fConvexity = kUnknown_Convexity;
fSegmentMask = 0;
fLastMoveToIndex = INITIAL_LASTMOVETOINDEX_VALUE;
fIsOval = false;
fIsFinite = false; // gets computed when we know our bounds
#ifdef SK_BUILD_FOR_ANDROID
fGenerationID = 0;
fSourcePath = NULL;
#endif
}
SkPath::SkPath(const SkPath& src)
#if SK_DEBUG_PATH_REF
: fPathRef(this)
#endif
{
SkDEBUGCODE(src.validate();)
src.fPathRef.get()->ref();
fPathRef.reset(src.fPathRef.get());
fBounds = src.fBounds;
fFillType = src.fFillType;
fBoundsIsDirty = src.fBoundsIsDirty;
fConvexity = src.fConvexity;
fIsFinite = src.fIsFinite;
fSegmentMask = src.fSegmentMask;
fLastMoveToIndex = src.fLastMoveToIndex;
fIsOval = src.fIsOval;
#ifdef SK_BUILD_FOR_ANDROID
fGenerationID = src.fGenerationID;
fSourcePath = NULL;
#endif
}
SkPath::~SkPath() {
SkDEBUGCODE(this->validate();)
}
SkPath& SkPath::operator=(const SkPath& src) {
SkDEBUGCODE(src.validate();)
if (this != &src) {
src.fPathRef.get()->ref();
fPathRef.reset(src.fPathRef.get());
fBounds = src.fBounds;
fFillType = src.fFillType;
fBoundsIsDirty = src.fBoundsIsDirty;
fConvexity = src.fConvexity;
fIsFinite = src.fIsFinite;
fSegmentMask = src.fSegmentMask;
fLastMoveToIndex = src.fLastMoveToIndex;
fIsOval = src.fIsOval;
GEN_ID_INC;
}
SkDEBUGCODE(this->validate();)
return *this;
}
SK_API 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.
// We explicitly check fSegmentMask as a quick-reject. We could skip it,
// since it is only a cache of info in the fVerbs, but its a fast way to
// notice a difference
return &a == &b ||
(a.fFillType == b.fFillType && a.fSegmentMask == b.fSegmentMask &&
*a.fPathRef.get() == *b.fPathRef.get());
}
void SkPath::swap(SkPath& other) {
SkASSERT(&other != NULL);
if (this != &other) {
SkTSwap<SkRect>(fBounds, other.fBounds);
fPathRef.swap(&other.fPathRef);
SkTSwap<uint8_t>(fFillType, other.fFillType);
SkTSwap<uint8_t>(fBoundsIsDirty, other.fBoundsIsDirty);
SkTSwap<uint8_t>(fConvexity, other.fConvexity);
SkTSwap<uint8_t>(fSegmentMask, other.fSegmentMask);
SkTSwap<int>(fLastMoveToIndex, other.fLastMoveToIndex);
SkTSwap<SkBool8>(fIsOval, other.fIsOval);
SkTSwap<SkBool8>(fIsFinite, other.fIsFinite);
GEN_ID_INC;
}
}
#ifdef SK_BUILD_FOR_ANDROID
uint32_t SkPath::getGenerationID() const {
return fGenerationID;
}
const SkPath* SkPath::getSourcePath() const {
return fSourcePath;
}
void SkPath::setSourcePath(const SkPath* path) {
fSourcePath = path;
}
#endif
void SkPath::reset() {
SkDEBUGCODE(this->validate();)
fPathRef.reset(SkPathRef::CreateEmpty());
GEN_ID_INC;
fBoundsIsDirty = true;
fConvexity = kUnknown_Convexity;
fSegmentMask = 0;
fLastMoveToIndex = INITIAL_LASTMOVETOINDEX_VALUE;
fIsOval = false;
}
void SkPath::rewind() {
SkDEBUGCODE(this->validate();)
SkPathRef::Rewind(&fPathRef);
GEN_ID_INC;
fConvexity = kUnknown_Convexity;
fBoundsIsDirty = true;
fSegmentMask = 0;
fLastMoveToIndex = INITIAL_LASTMOVETOINDEX_VALUE;
fIsOval = false;
}
bool SkPath::isEmpty() const {
SkDEBUGCODE(this->validate();)
return 0 == fPathRef->countVerbs();
}
bool SkPath::isLine(SkPoint line[2]) const {
int verbCount = fPathRef->countVerbs();
int ptCount = fPathRef->countVerbs();
if (2 == verbCount && 2 == ptCount) {
if (kMove_Verb == fPathRef->atVerb(0) &&
kLine_Verb == fPathRef->atVerb(1)) {
if (line) {
const SkPoint* pts = fPathRef->points();
line[0] = pts[0];
line[1] = pts[1];
}
return true;
}
}
return false;
}
/*
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 right
2: vertical down
3: horizontal left
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 rectangle doesn't complete a cycle.
The path contains a quadratic or cubic.
The path contains fewer than four points.
The final point isn't equal to the first point.
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.
*/
bool SkPath::isRect(SkRect* rect) const {
SkDEBUGCODE(this->validate();)
int corners = 0;
SkPoint first, last;
first.set(0, 0);
last.set(0, 0);
int firstDirection = 0;
int lastDirection = 0;
int nextDirection = 0;
bool closedOrMoved = false;
bool autoClose = false;
const SkPoint* pts = fPathRef->points();
int verbCnt = fPathRef->countVerbs();
int currVerb = 0;
while (currVerb < verbCnt) {
switch (fPathRef->atVerb(currVerb++)) {
case kClose_Verb:
pts = fPathRef->points();
autoClose = true;
case kLine_Verb: {
SkScalar left = last.fX;
SkScalar top = last.fY;
SkScalar right = pts->fX;
SkScalar bottom = pts->fY;
++pts;
if (left != right && top != bottom) {
return false; // diagonal
}
if (left == right && top == bottom) {
break; // single point on side OK
}
nextDirection = (left != right) << 0 |
(left < right || top < bottom) << 1;
if (0 == corners) {
firstDirection = nextDirection;
first = last;
last = pts[-1];
corners = 1;
closedOrMoved = false;
break;
}
if (closedOrMoved) {
return false; // closed followed by a line
}
closedOrMoved = autoClose;
if (lastDirection != nextDirection) {
if (++corners > 4) {
return false; // too many direction changes
}
}
last = pts[-1];
if (lastDirection == nextDirection) {
break; // colinear segment
}
// Possible values for corners are 2, 3, and 4.
// When corners == 3, nextDirection opposes firstDirection.
// Otherwise, nextDirection at corner 2 opposes corner 4.
int turn = firstDirection ^ (corners - 1);
int directionCycle = 3 == corners ? 0 : nextDirection ^ turn;
if ((directionCycle ^ turn) != nextDirection) {
return false; // direction didn't follow cycle
}
break;
}
case kQuad_Verb:
case kCubic_Verb:
return false; // quadratic, cubic not allowed
case kMove_Verb:
last = *pts++;
closedOrMoved = true;
break;
}
lastDirection = nextDirection;
}
// Success if 4 corners and first point equals last
bool result = 4 == corners && first == last;
if (result && rect) {
*rect = getBounds();
}
return result;
}
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 = SkMin32(max, fPathRef->countPoints());
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();
}
static inline void copy_verbs_reverse(uint8_t* inorderDst,
const uint8_t* reversedSrc,
int count) {
for (int i = 0; i < count; ++i) {
inorderDst[i] = reversedSrc[~i];
}
}
int SkPath::getVerbs(uint8_t dst[], int max) const {
SkDEBUGCODE(this->validate();)
SkASSERT(max >= 0);
SkASSERT(!max || dst);
int count = SkMin32(max, fPathRef->countVerbs());
copy_verbs_reverse(dst, fPathRef->verbs(), count);
return fPathRef->countVerbs();
}
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::setLastPt(SkScalar x, SkScalar y) {
SkDEBUGCODE(this->validate();)
int count = fPathRef->countPoints();
if (count == 0) {
this->moveTo(x, y);
} else {
fIsOval = false;
SkPathRef::Editor ed(&fPathRef);
ed.atPoint(count-1)->set(x, y);
GEN_ID_INC;
}
}
void SkPath::computeBounds() const {
SkDEBUGCODE(this->validate();)
SkASSERT(fBoundsIsDirty);
fIsFinite = compute_pt_bounds(&fBounds, *fPathRef.get());
fBoundsIsDirty = false;
}
void SkPath::setConvexity(Convexity c) {
if (fConvexity != c) {
fConvexity = c;
GEN_ID_INC;
}
}
//////////////////////////////////////////////////////////////////////////////
// Construction methods
#define DIRTY_AFTER_EDIT \
do { \
fBoundsIsDirty = true; \
fConvexity = kUnknown_Convexity; \
fIsOval = false; \
} while (0)
#define DIRTY_AFTER_EDIT_NO_CONVEXITY_CHANGE \
do { \
fBoundsIsDirty = true; \
} while (0)
void SkPath::incReserve(U16CPU inc) {
SkDEBUGCODE(this->validate();)
SkPathRef::Editor(&fPathRef, inc, inc);
SkDEBUGCODE(this->validate();)
}
void SkPath::moveTo(SkScalar x, SkScalar y) {
SkDEBUGCODE(this->validate();)
SkPathRef::Editor ed(&fPathRef);
// remember our index
fLastMoveToIndex = ed.pathRef()->countPoints();
ed.growForVerb(kMove_Verb)->set(x, y);
GEN_ID_INC;
DIRTY_AFTER_EDIT_NO_CONVEXITY_CHANGE;
}
void SkPath::rMoveTo(SkScalar x, SkScalar y) {
SkPoint pt;
this->getLastPt(&pt);
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);
}
}
void SkPath::lineTo(SkScalar x, SkScalar y) {
SkDEBUGCODE(this->validate();)
this->injectMoveToIfNeeded();
SkPathRef::Editor ed(&fPathRef);
ed.growForVerb(kLine_Verb)->set(x, y);
fSegmentMask |= kLine_SegmentMask;
GEN_ID_INC;
DIRTY_AFTER_EDIT;
}
void SkPath::rLineTo(SkScalar x, SkScalar y) {
SkPoint pt;
this->getLastPt(&pt);
this->lineTo(pt.fX + x, pt.fY + y);
}
void 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);
fSegmentMask |= kQuad_SegmentMask;
GEN_ID_INC;
DIRTY_AFTER_EDIT;
}
void SkPath::rQuadTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2) {
SkPoint pt;
this->getLastPt(&pt);
this->quadTo(pt.fX + x1, pt.fY + y1, pt.fX + x2, pt.fY + y2);
}
void 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);
fSegmentMask |= kCubic_SegmentMask;
GEN_ID_INC;
DIRTY_AFTER_EDIT;
}
void SkPath::rCubicTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2,
SkScalar x3, SkScalar y3) {
SkPoint pt;
this->getLastPt(&pt);
this->cubicTo(pt.fX + x1, pt.fY + y1, pt.fX + x2, pt.fY + y2,
pt.fX + x3, pt.fY + y3);
}
void SkPath::close() {
SkDEBUGCODE(this->validate();)
int count = fPathRef->countVerbs();
if (count > 0) {
switch (fPathRef->atVerb(count - 1)) {
case kLine_Verb:
case kQuad_Verb:
case kCubic_Verb:
case kMove_Verb: {
SkPathRef::Editor ed(&fPathRef);
ed.growForVerb(kClose_Verb);
GEN_ID_INC;
break;
}
default:
// don't add a close if it's the first verb or a repeat
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
}
///////////////////////////////////////////////////////////////////////////////
void SkPath::addRect(const SkRect& rect, Direction dir) {
this->addRect(rect.fLeft, rect.fTop, rect.fRight, rect.fBottom, dir);
}
void SkPath::addRect(SkScalar left, SkScalar top, SkScalar right,
SkScalar bottom, Direction dir) {
SkAutoPathBoundsUpdate apbu(this, left, top, right, bottom);
this->incReserve(5);
this->moveTo(left, top);
if (dir == kCCW_Direction) {
this->lineTo(left, bottom);
this->lineTo(right, bottom);
this->lineTo(right, top);
} else {
this->lineTo(right, top);
this->lineTo(right, bottom);
this->lineTo(left, bottom);
}
this->close();
}
void SkPath::addPoly(const SkPoint pts[], int count, bool close) {
SkDEBUGCODE(this->validate();)
if (count <= 0) {
return;
}
SkPathRef::Editor ed(&fPathRef);
fLastMoveToIndex = ed.pathRef()->countPoints();
uint8_t* vb;
SkPoint* p;
// +close makes room for the extra kClose_Verb
ed.grow(count + close, count, &vb, &p);
memcpy(p, pts, count * sizeof(SkPoint));
vb[~0] = kMove_Verb;
if (count > 1) {
// cast to unsigned, so if MIN_COUNT_FOR_MEMSET_TO_BE_FAST is defined to
// be 0, the compiler will remove the test/branch entirely.
if ((unsigned)count >= MIN_COUNT_FOR_MEMSET_TO_BE_FAST) {
memset(vb - count, kLine_Verb, count - 1);
} else {
for (int i = 1; i < count; ++i) {
vb[~i] = kLine_Verb;
}
}
fSegmentMask |= kLine_SegmentMask;
}
if (close) {
vb[~count] = kClose_Verb;
}
GEN_ID_INC;
DIRTY_AFTER_EDIT;
SkDEBUGCODE(this->validate();)
}
#define CUBIC_ARC_FACTOR ((SK_ScalarSqrt2 - SK_Scalar1) * 4 / 3)
void SkPath::addRoundRect(const SkRect& rect, SkScalar rx, SkScalar ry,
Direction dir) {
SkScalar w = rect.width();
SkScalar halfW = SkScalarHalf(w);
SkScalar h = rect.height();
SkScalar halfH = SkScalarHalf(h);
if (halfW <= 0 || halfH <= 0) {
return;
}
bool skip_hori = rx >= halfW;
bool skip_vert = ry >= halfH;
if (skip_hori && skip_vert) {
this->addOval(rect, dir);
return;
}
SkAutoPathBoundsUpdate apbu(this, rect);
if (skip_hori) {
rx = halfW;
} else if (skip_vert) {
ry = halfH;
}
SkScalar sx = SkScalarMul(rx, CUBIC_ARC_FACTOR);
SkScalar sy = SkScalarMul(ry, CUBIC_ARC_FACTOR);
this->incReserve(17);
this->moveTo(rect.fRight - rx, rect.fTop);
if (dir == kCCW_Direction) {
if (!skip_hori) {
this->lineTo(rect.fLeft + rx, rect.fTop); // top
}
this->cubicTo(rect.fLeft + rx - sx, rect.fTop,
rect.fLeft, rect.fTop + ry - sy,
rect.fLeft, rect.fTop + ry); // top-left
if (!skip_vert) {
this->lineTo(rect.fLeft, rect.fBottom - ry); // left
}
this->cubicTo(rect.fLeft, rect.fBottom - ry + sy,
rect.fLeft + rx - sx, rect.fBottom,
rect.fLeft + rx, rect.fBottom); // bot-left
if (!skip_hori) {
this->lineTo(rect.fRight - rx, rect.fBottom); // bottom
}
this->cubicTo(rect.fRight - rx + sx, rect.fBottom,
rect.fRight, rect.fBottom - ry + sy,
rect.fRight, rect.fBottom - ry); // bot-right
if (!skip_vert) {
this->lineTo(rect.fRight, rect.fTop + ry);
}
this->cubicTo(rect.fRight, rect.fTop + ry - sy,
rect.fRight - rx + sx, rect.fTop,
rect.fRight - rx, rect.fTop); // top-right
} else {
this->cubicTo(rect.fRight - rx + sx, rect.fTop,
rect.fRight, rect.fTop + ry - sy,
rect.fRight, rect.fTop + ry); // top-right
if (!skip_vert) {
this->lineTo(rect.fRight, rect.fBottom - ry);
}
this->cubicTo(rect.fRight, rect.fBottom - ry + sy,
rect.fRight - rx + sx, rect.fBottom,
rect.fRight - rx, rect.fBottom); // bot-right
if (!skip_hori) {
this->lineTo(rect.fLeft + rx, rect.fBottom); // bottom
}
this->cubicTo(rect.fLeft + rx - sx, rect.fBottom,
rect.fLeft, rect.fBottom - ry + sy,
rect.fLeft, rect.fBottom - ry); // bot-left
if (!skip_vert) {
this->lineTo(rect.fLeft, rect.fTop + ry); // left
}
this->cubicTo(rect.fLeft, rect.fTop + ry - sy,
rect.fLeft + rx - sx, rect.fTop,
rect.fLeft + rx, rect.fTop); // top-left
if (!skip_hori) {
this->lineTo(rect.fRight - rx, rect.fTop); // top
}
}
this->close();
}
static void add_corner_arc(SkPath* path, const SkRect& rect,
SkScalar rx, SkScalar ry, int startAngle,
SkPath::Direction dir, bool forceMoveTo) {
rx = SkMinScalar(SkScalarHalf(rect.width()), rx);
ry = SkMinScalar(SkScalarHalf(rect.height()), ry);
SkRect r;
r.set(-rx, -ry, rx, ry);
switch (startAngle) {
case 0:
r.offset(rect.fRight - r.fRight, rect.fBottom - r.fBottom);
break;
case 90:
r.offset(rect.fLeft - r.fLeft, rect.fBottom - r.fBottom);
break;
case 180: r.offset(rect.fLeft - r.fLeft, rect.fTop - r.fTop); break;
case 270: r.offset(rect.fRight - r.fRight, rect.fTop - r.fTop); break;
default: SkDEBUGFAIL("unexpected startAngle in add_corner_arc");
}
SkScalar start = SkIntToScalar(startAngle);
SkScalar sweep = SkIntToScalar(90);
if (SkPath::kCCW_Direction == dir) {
start += sweep;
sweep = -sweep;
}
path->arcTo(r, start, sweep, forceMoveTo);
}
void SkPath::addRoundRect(const SkRect& rect, const SkScalar rad[],
Direction dir) {
// abort before we invoke SkAutoPathBoundsUpdate()
if (rect.isEmpty()) {
return;
}
SkAutoPathBoundsUpdate apbu(this, rect);
if (kCW_Direction == dir) {
add_corner_arc(this, rect, rad[0], rad[1], 180, dir, true);
add_corner_arc(this, rect, rad[2], rad[3], 270, dir, false);
add_corner_arc(this, rect, rad[4], rad[5], 0, dir, false);
add_corner_arc(this, rect, rad[6], rad[7], 90, dir, false);
} else {
add_corner_arc(this, rect, rad[0], rad[1], 180, dir, true);
add_corner_arc(this, rect, rad[6], rad[7], 90, dir, false);
add_corner_arc(this, rect, rad[4], rad[5], 0, dir, false);
add_corner_arc(this, rect, rad[2], rad[3], 270, dir, false);
}
this->close();
}
bool SkPath::hasOnlyMoveTos() const {
int count = fPathRef->countVerbs();
const uint8_t* verbs = const_cast<const SkPathRef*>(fPathRef.get())->verbsMemBegin();
for (int i = 0; i < count; ++i) {
if (*verbs == kLine_Verb ||
*verbs == kQuad_Verb ||
*verbs == kCubic_Verb) {
return false;
}
++verbs;
}
return true;
}
void SkPath::addOval(const SkRect& oval, 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.
*/
fIsOval = hasOnlyMoveTos();
SkAutoDisableOvalCheck adoc(this);
SkAutoPathBoundsUpdate apbu(this, oval);
SkScalar cx = oval.centerX();
SkScalar cy = oval.centerY();
SkScalar rx = SkScalarHalf(oval.width());
SkScalar ry = SkScalarHalf(oval.height());
#if 0 // these seem faster than using quads (1/2 the number of edges)
SkScalar sx = SkScalarMul(rx, CUBIC_ARC_FACTOR);
SkScalar sy = SkScalarMul(ry, CUBIC_ARC_FACTOR);
this->incReserve(13);
this->moveTo(cx + rx, cy);
if (dir == kCCW_Direction) {
this->cubicTo(cx + rx, cy - sy, cx + sx, cy - ry, cx, cy - ry);
this->cubicTo(cx - sx, cy - ry, cx - rx, cy - sy, cx - rx, cy);
this->cubicTo(cx - rx, cy + sy, cx - sx, cy + ry, cx, cy + ry);
this->cubicTo(cx + sx, cy + ry, cx + rx, cy + sy, cx + rx, cy);
} else {
this->cubicTo(cx + rx, cy + sy, cx + sx, cy + ry, cx, cy + ry);
this->cubicTo(cx - sx, cy + ry, cx - rx, cy + sy, cx - rx, cy);
this->cubicTo(cx - rx, cy - sy, cx - sx, cy - ry, cx, cy - ry);
this->cubicTo(cx + sx, cy - ry, cx + rx, cy - sy, cx + rx, cy);
}
#else
SkScalar sx = SkScalarMul(rx, SK_ScalarTanPIOver8);
SkScalar sy = SkScalarMul(ry, SK_ScalarTanPIOver8);
SkScalar mx = SkScalarMul(rx, SK_ScalarRoot2Over2);
SkScalar my = SkScalarMul(ry, SK_ScalarRoot2Over2);
/*
To handle imprecision in computing the center and radii, we revert to
the provided bounds when we can (i.e. use oval.fLeft instead of cx-rx)
to ensure that we don't exceed the oval's bounds *ever*, since we want
to use oval for our fast-bounds, rather than have to recompute it.
*/
const SkScalar L = oval.fLeft; // cx - rx
const SkScalar T = oval.fTop; // cy - ry
const SkScalar R = oval.fRight; // cx + rx
const SkScalar B = oval.fBottom; // cy + ry
this->incReserve(17); // 8 quads + close
this->moveTo(R, cy);
if (dir == kCCW_Direction) {
this->quadTo( R, cy - sy, cx + mx, cy - my);
this->quadTo(cx + sx, T, cx , T);
this->quadTo(cx - sx, T, cx - mx, cy - my);
this->quadTo( L, cy - sy, L, cy );
this->quadTo( L, cy + sy, cx - mx, cy + my);
this->quadTo(cx - sx, B, cx , B);
this->quadTo(cx + sx, B, cx + mx, cy + my);
this->quadTo( R, cy + sy, R, cy );
} else {
this->quadTo( R, cy + sy, cx + mx, cy + my);
this->quadTo(cx + sx, B, cx , B);
this->quadTo(cx - sx, B, cx - mx, cy + my);
this->quadTo( L, cy + sy, L, cy );
this->quadTo( L, cy - sy, cx - mx, cy - my);
this->quadTo(cx - sx, T, cx , T);
this->quadTo(cx + sx, T, cx + mx, cy - my);
this->quadTo( R, cy - sy, R, cy );
}
#endif
this->close();
}
bool SkPath::isOval(SkRect* rect) const {
if (fIsOval && rect) {
*rect = getBounds();
}
return fIsOval;
}
void SkPath::addCircle(SkScalar x, SkScalar y, SkScalar r, Direction dir) {
if (r > 0) {
SkRect rect;
rect.set(x - r, y - r, x + r, y + r);
this->addOval(rect, dir);
}
}
#include "SkGeometry.h"
static int build_arc_points(const SkRect& oval, SkScalar startAngle,
SkScalar sweepAngle,
SkPoint pts[kSkBuildQuadArcStorage]) {
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).
pts[0].set(oval.fRight, oval.centerY());
return 1;
}
SkVector start, stop;
start.fY = SkScalarSinCos(SkDegreesToRadians(startAngle), &start.fX);
stop.fY = SkScalarSinCos(SkDegreesToRadians(startAngle + sweepAngle),
&stop.fX);
/* 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 (start == stop) {
SkScalar sw = SkScalarAbs(sweepAngle);
if (sw < SkIntToScalar(360) && sw > SkIntToScalar(359)) {
SkScalar stopRad = SkDegreesToRadians(startAngle + sweepAngle);
// 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;
stop.fY = SkScalarSinCos(stopRad, &stop.fX);
} while (start == stop);
}
}
SkMatrix matrix;
matrix.setScale(SkScalarHalf(oval.width()), SkScalarHalf(oval.height()));
matrix.postTranslate(oval.centerX(), oval.centerY());
return SkBuildQuadArc(start, stop,
sweepAngle > 0 ? kCW_SkRotationDirection : kCCW_SkRotationDirection,
&matrix, pts);
}
void SkPath::arcTo(const SkRect& oval, SkScalar startAngle, SkScalar sweepAngle,
bool forceMoveTo) {
if (oval.width() < 0 || oval.height() < 0) {
return;
}
SkPoint pts[kSkBuildQuadArcStorage];
int count = build_arc_points(oval, startAngle, sweepAngle, pts);
SkASSERT((count & 1) == 1);
if (fPathRef->countVerbs() == 0) {
forceMoveTo = true;
}
this->incReserve(count);
forceMoveTo ? this->moveTo(pts[0]) : this->lineTo(pts[0]);
for (int i = 1; i < count; i += 2) {
this->quadTo(pts[i], pts[i+1]);
}
}
void SkPath::addArc(const SkRect& oval, SkScalar startAngle,
SkScalar sweepAngle) {
if (oval.isEmpty() || 0 == sweepAngle) {
return;
}
const SkScalar kFullCircleAngle = SkIntToScalar(360);
if (sweepAngle >= kFullCircleAngle || sweepAngle <= -kFullCircleAngle) {
this->addOval(oval, sweepAngle > 0 ? kCW_Direction : kCCW_Direction);
return;
}
SkPoint pts[kSkBuildQuadArcStorage];
int count = build_arc_points(oval, startAngle, sweepAngle, pts);
this->incReserve(count);
this->moveTo(pts[0]);
for (int i = 1; i < count; i += 2) {
this->quadTo(pts[i], pts[i+1]);
}
}
/*
Need to handle the case when the angle is sharp, and our computed end-points
for the arc go behind pt1 and/or p2...
*/
void SkPath::arcTo(SkScalar x1, SkScalar y1, SkScalar x2, SkScalar y2,
SkScalar radius) {
SkVector before, after;
// need to know our prev pt so we can construct tangent vectors
{
SkPoint start;
this->getLastPt(&start);
// Handle degenerate cases by adding a line to the first point and
// bailing out.
if ((x1 == start.fX && y1 == start.fY) ||
(x1 == x2 && y1 == y2) ||
radius == 0) {
this->lineTo(x1, y1);
return;
}
before.setNormalize(x1 - start.fX, y1 - start.fY);
after.setNormalize(x2 - x1, y2 - y1);
}
SkScalar cosh = SkPoint::DotProduct(before, after);
SkScalar sinh = SkPoint::CrossProduct(before, after);
if (SkScalarNearlyZero(sinh)) { // angle is too tight
this->lineTo(x1, y1);
return;
}
SkScalar dist = SkScalarMulDiv(radius, SK_Scalar1 - cosh, sinh);
if (dist < 0) {
dist = -dist;
}
SkScalar xx = x1 - SkScalarMul(dist, before.fX);
SkScalar yy = y1 - SkScalarMul(dist, before.fY);
SkRotationDirection arcDir;
// now turn before/after into normals
if (sinh > 0) {
before.rotateCCW();
after.rotateCCW();
arcDir = kCW_SkRotationDirection;
} else {
before.rotateCW();
after.rotateCW();
arcDir = kCCW_SkRotationDirection;
}
SkMatrix matrix;
SkPoint pts[kSkBuildQuadArcStorage];
matrix.setScale(radius, radius);
matrix.postTranslate(xx - SkScalarMul(radius, before.fX),
yy - SkScalarMul(radius, before.fY));
int count = SkBuildQuadArc(before, after, arcDir, &matrix, pts);
this->incReserve(count);
// [xx,yy] == pts[0]
this->lineTo(xx, yy);
for (int i = 1; i < count; i += 2) {
this->quadTo(pts[i], pts[i+1]);
}
}
///////////////////////////////////////////////////////////////////////////////
void SkPath::addPath(const SkPath& path, SkScalar dx, SkScalar dy) {
SkMatrix matrix;
matrix.setTranslate(dx, dy);
this->addPath(path, matrix);
}
void SkPath::addPath(const SkPath& path, const SkMatrix& matrix) {
SkPathRef::Editor(&fPathRef, path.countVerbs(), path.countPoints());
fIsOval = false;
RawIter iter(path);
SkPoint pts[4];
Verb verb;
SkMatrix::MapPtsProc proc = matrix.getMapPtsProc();
while ((verb = iter.next(pts)) != kDone_Verb) {
switch (verb) {
case kMove_Verb:
proc(matrix, &pts[0], &pts[0], 1);
this->moveTo(pts[0]);
break;
case kLine_Verb:
proc(matrix, &pts[1], &pts[1], 1);
this->lineTo(pts[1]);
break;
case kQuad_Verb:
proc(matrix, &pts[1], &pts[1], 2);
this->quadTo(pts[1], pts[2]);
break;
case kCubic_Verb:
proc(matrix, &pts[1], &pts[1], 3);
this->cubicTo(pts[1], pts[2], pts[3]);
break;
case kClose_Verb:
this->close();
break;
default:
SkDEBUGFAIL("unknown verb");
}
}
}
///////////////////////////////////////////////////////////////////////////////
static const uint8_t gPtsInVerb[] = {
1, // kMove
1, // kLine
2, // kQuad
3, // kCubic
0, // kClose
0 // kDone
};
// ignore the initial moveto, and stop when the 1st contour ends
void SkPath::pathTo(const SkPath& path) {
int i, vcount = path.fPathRef->countVerbs();
// exit early if the path is empty, or just has a moveTo.
if (vcount < 2) {
return;
}
SkPathRef::Editor(&fPathRef, vcount, path.countPoints());
fIsOval = false;
const uint8_t* verbs = path.fPathRef->verbs();
// skip the initial moveTo
const SkPoint* pts = path.fPathRef->points() + 1;
SkASSERT(verbs[~0] == kMove_Verb);
for (i = 1; i < vcount; i++) {
switch (verbs[~i]) {
case kLine_Verb:
this->lineTo(pts[0].fX, pts[0].fY);
break;
case kQuad_Verb:
this->quadTo(pts[0].fX, pts[0].fY, pts[1].fX, pts[1].fY);
break;
case kCubic_Verb:
this->cubicTo(pts[0].fX, pts[0].fY, pts[1].fX, pts[1].fY, pts[2].fX, pts[2].fY);
break;
case kClose_Verb:
return;
}
pts += gPtsInVerb[verbs[~i]];
}
}
// ignore the last point of the 1st contour
void SkPath::reversePathTo(const SkPath& path) {
int i, vcount = path.fPathRef->countVerbs();
// exit early if the path is empty, or just has a moveTo.
if (vcount < 2) {
return;
}
SkPathRef::Editor(&fPathRef, vcount, path.countPoints());
fIsOval = false;
const uint8_t* verbs = path.fPathRef->verbs();
const SkPoint* pts = path.fPathRef->points();
SkASSERT(verbs[~0] == kMove_Verb);
for (i = 1; i < vcount; ++i) {
int n = gPtsInVerb[verbs[~i]];
if (n == 0) {
break;
}
pts += n;
}
while (--i > 0) {
switch (verbs[~i]) {
case kLine_Verb:
this->lineTo(pts[-1].fX, pts[-1].fY);
break;
case kQuad_Verb:
this->quadTo(pts[-1].fX, pts[-1].fY, pts[-2].fX, pts[-2].fY);
break;
case kCubic_Verb:
this->cubicTo(pts[-1].fX, pts[-1].fY, pts[-2].fX, pts[-2].fY,
pts[-3].fX, pts[-3].fY);
break;
default:
SkDEBUGFAIL("bad verb");
break;
}
pts -= gPtsInVerb[verbs[~i]];
}
}
void SkPath::reverseAddPath(const SkPath& src) {
SkPathRef::Editor ed(&fPathRef, src.fPathRef->countPoints(), src.fPathRef->countVerbs());
const SkPoint* pts = src.fPathRef->pointsEnd();
// we will iterator through src's verbs backwards
const uint8_t* verbs = src.fPathRef->verbsMemBegin(); // points at the last verb
const uint8_t* verbsEnd = src.fPathRef->verbs(); // points just past the first verb
fIsOval = false;
bool needMove = true;
bool needClose = false;
while (verbs < verbsEnd) {
uint8_t v = *(verbs++);
int n = gPtsInVerb[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 kCubic_Verb:
this->cubicTo(pts[2], pts[1], pts[0]);
break;
case kClose_Verb:
needClose = true;
break;
default:
SkASSERT(!"unexpected verb");
}
}
}
///////////////////////////////////////////////////////////////////////////////
void SkPath::offset(SkScalar dx, SkScalar dy, SkPath* dst) const {
SkMatrix matrix;
matrix.setTranslate(dx, dy);
this->transform(matrix, dst);
}
#include "SkGeometry.h"
static void subdivide_quad_to(SkPath* path, const SkPoint pts[3],
int level = 2) {
if (--level >= 0) {
SkPoint tmp[5];
SkChopQuadAtHalf(pts, tmp);
subdivide_quad_to(path, &tmp[0], level);
subdivide_quad_to(path, &tmp[2], level);
} else {
path->quadTo(pts[1], pts[2]);
}
}
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) const {
SkDEBUGCODE(this->validate();)
if (dst == NULL) {
dst = (SkPath*)this;
}
if (matrix.hasPerspective()) {
SkPath tmp;
tmp.fFillType = fFillType;
SkPath::Iter iter(*this, false);
SkPoint pts[4];
SkPath::Verb verb;
while ((verb = iter.next(pts, false)) != kDone_Verb) {
switch (verb) {
case kMove_Verb:
tmp.moveTo(pts[0]);
break;
case kLine_Verb:
tmp.lineTo(pts[1]);
break;
case kQuad_Verb:
subdivide_quad_to(&tmp, pts);
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.points(), ed.pathRef()->countPoints());
} else {
/*
* If we're not in perspective, we can transform all of the points at
* once.
*
* Here we also want to optimize bounds, by noting if the bounds are
* already known, and if so, we just transform those as well and mark
* them as "known", rather than force the transformed path to have to
* recompute them.
*
* Special gotchas if the path is effectively empty (<= 1 point) or
* if it is non-finite. In those cases bounds need to stay empty,
* regardless of the matrix.
*/
if (!fBoundsIsDirty && matrix.rectStaysRect() && fPathRef->countPoints() > 1) {
dst->fBoundsIsDirty = false;
if (fIsFinite) {
matrix.mapRect(&dst->fBounds, fBounds);
if (!(dst->fIsFinite = dst->fBounds.isFinite())) {
dst->fBounds.setEmpty();
}
} else {
dst->fIsFinite = false;
dst->fBounds.setEmpty();
}
} else {
GEN_ID_PTR_INC(dst);
dst->fBoundsIsDirty = true;
}
SkPathRef::CreateTransformedCopy(&dst->fPathRef, *fPathRef.get(), matrix);
if (this != dst) {
dst->fFillType = fFillType;
dst->fSegmentMask = fSegmentMask;
dst->fConvexity = fConvexity;
}
// It's an oval only if it stays a rect.
dst->fIsOval = fIsOval && matrix.rectStaysRect();
SkDEBUGCODE(dst->validate();)
}
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
enum SegmentState {
kEmptyContour_SegmentState, // The current contour is empty. We may be
// starting processing or we may have just
// closed a contour.
kAfterMove_SegmentState, // We have seen a move, but nothing else.
kAfterPrimitive_SegmentState // We have seen a primitive but not yet
// closed the path. Also the initial state.
};
SkPath::Iter::Iter() {
#ifdef SK_DEBUG
fPts = NULL;
fMoveTo.fX = fMoveTo.fY = fLastPt.fX = fLastPt.fY = 0;
fForceClose = fCloseLine = false;
fSegmentState = kEmptyContour_SegmentState;
#endif
// need to init enough to make next() harmlessly return kDone_Verb
fVerbs = NULL;
fVerbStop = NULL;
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->verbs();
fVerbStop = path.fPathRef->verbsMemBegin();
fLastPt.fX = fLastPt.fY = 0;
fMoveTo.fX = fMoveTo.fY = 0;
fForceClose = SkToU8(forceClose);
fNeedClose = false;
fSegmentState = kEmptyContour_SegmentState;
}
bool SkPath::Iter::isClosedContour() const {
if (fVerbs == NULL || fVerbs == fVerbStop) {
return false;
}
if (fForceClose) {
return true;
}
const uint8_t* verbs = fVerbs;
const uint8_t* stop = fVerbStop;
if (kMove_Verb == *(verbs - 1)) {
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;
}
}
const SkPoint& SkPath::Iter::cons_moveTo() {
if (fSegmentState == kAfterMove_SegmentState) {
// Set the first return pt to the move pt
fSegmentState = kAfterPrimitive_SegmentState;
return fMoveTo;
} else {
SkASSERT(fSegmentState == kAfterPrimitive_SegmentState);
// Set the first return pt to the last pt of the previous primitive.
return fPts[-1];
}
}
void SkPath::Iter::consumeDegenerateSegments() {
// We need to step over anything that will not move the current draw point
// forward before the next move is seen
const uint8_t* lastMoveVerb = 0;
const SkPoint* lastMovePt = 0;
SkPoint lastPt = fLastPt;
while (fVerbs != fVerbStop) {
unsigned verb = *(fVerbs - 1); // fVerbs is one beyond the current verb
switch (verb) {
case kMove_Verb:
// Keep a record of this most recent move
lastMoveVerb = fVerbs;
lastMovePt = fPts;
lastPt = fPts[0];
fVerbs--;
fPts++;
break;
case kClose_Verb:
// A close when we are in a segment is always valid except when it
// follows a move which follows a segment.
if (fSegmentState == kAfterPrimitive_SegmentState && !lastMoveVerb) {
return;
}
// A close at any other time must be ignored
fVerbs--;
break;
case kLine_Verb:
if (!IsLineDegenerate(lastPt, fPts[0])) {
if (lastMoveVerb) {
fVerbs = lastMoveVerb;
fPts = lastMovePt;
return;
}
return;
}
// Ignore this line and continue
fVerbs--;
fPts++;
break;
case kQuad_Verb:
if (!IsQuadDegenerate(lastPt, fPts[0], fPts[1])) {
if (lastMoveVerb) {
fVerbs = lastMoveVerb;
fPts = lastMovePt;
return;
}
return;
}
// Ignore this line and continue
fVerbs--;
fPts += 2;
break;
case kCubic_Verb:
if (!IsCubicDegenerate(lastPt, fPts[0], fPts[1], fPts[2])) {
if (lastMoveVerb) {
fVerbs = lastMoveVerb;
fPts = lastMovePt;
return;
}
return;
}
// Ignore this line and continue
fVerbs--;
fPts += 3;
break;
default:
SkDEBUGFAIL("Should never see kDone_Verb");
}
}
}
SkPath::Verb SkPath::Iter::doNext(SkPoint ptsParam[4]) {
SkASSERT(ptsParam);
if (fVerbs == fVerbStop) {
// Close the curve if requested and if there is some curve to close
if (fNeedClose && fSegmentState == kAfterPrimitive_SegmentState) {
if (kLine_Verb == this->autoClose(ptsParam)) {
return kLine_Verb;
}
fNeedClose = false;
return kClose_Verb;
}
return kDone_Verb;
}
// fVerbs is one beyond the current verb, decrement first
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;
fSegmentState = kAfterMove_SegmentState;
fLastPt = fMoveTo;
fNeedClose = fForceClose;
break;
case kLine_Verb:
pts[0] = this->cons_moveTo();
pts[1] = srcPts[0];
fLastPt = srcPts[0];
fCloseLine = false;
srcPts += 1;
break;
case kQuad_Verb:
pts[0] = this->cons_moveTo();
memcpy(&pts[1], srcPts, 2 * sizeof(SkPoint));
fLastPt = srcPts[1];
srcPts += 2;
break;
case kCubic_Verb:
pts[0] = this->cons_moveTo();
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;
fSegmentState = kEmptyContour_SegmentState;
}
fLastPt = fMoveTo;
break;
}
fPts = srcPts;
return (Verb)verb;
}
///////////////////////////////////////////////////////////////////////////////
SkPath::RawIter::RawIter() {
#ifdef SK_DEBUG
fPts = NULL;
fMoveTo.fX = fMoveTo.fY = fLastPt.fX = fLastPt.fY = 0;
#endif
// need to init enough to make next() harmlessly return kDone_Verb
fVerbs = NULL;
fVerbStop = NULL;
}
SkPath::RawIter::RawIter(const SkPath& path) {
this->setPath(path);
}
void SkPath::RawIter::setPath(const SkPath& path) {
fPts = path.fPathRef->points();
fVerbs = path.fPathRef->verbs();
fVerbStop = path.fPathRef->verbsMemBegin();
fMoveTo.fX = fMoveTo.fY = 0;
fLastPt.fX = fLastPt.fY = 0;
}
SkPath::Verb SkPath::RawIter::next(SkPoint pts[4]) {
SkASSERT(NULL != pts);
if (fVerbs == fVerbStop) {
return kDone_Verb;
}
// fVerbs points one beyond next verb so decrement first.
unsigned verb = *(--fVerbs);
const SkPoint* srcPts = fPts;
switch (verb) {
case kMove_Verb:
pts[0] = *srcPts;
fMoveTo = srcPts[0];
fLastPt = fMoveTo;
srcPts += 1;
break;
case kLine_Verb:
pts[0] = fLastPt;
pts[1] = srcPts[0];
fLastPt = srcPts[0];
srcPts += 1;
break;
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:
fLastPt = fMoveTo;
pts[0] = fMoveTo;
break;
}
fPts = srcPts;
return (Verb)verb;
}
///////////////////////////////////////////////////////////////////////////////
/*
Format in compressed buffer: [ptCount, verbCount, pts[], verbs[]]
*/
uint32_t SkPath::writeToMemory(void* storage) const {
SkDEBUGCODE(this->validate();)
if (NULL == storage) {
const int byteCount = sizeof(int32_t)
#if NEW_PICTURE_FORMAT
+ fPathRef->writeSize()
#else
+ 2 * sizeof(int32_t)
+ sizeof(SkPoint) * fPathRef->countPoints()
+ sizeof(uint8_t) * fPathRef->countVerbs()
#endif
+ sizeof(SkRect);
return SkAlign4(byteCount);
}
SkWBuffer buffer(storage);
#if !NEW_PICTURE_FORMAT
buffer.write32(fPathRef->countPoints());
buffer.write32(fPathRef->countVerbs());
#endif
// Call getBounds() to ensure (as a side-effect) that fBounds
// and fIsFinite are computed.
const SkRect& bounds = this->getBounds();
SkASSERT(!fBoundsIsDirty);
int32_t packed = ((fIsFinite & 1) << kIsFinite_SerializationShift) |
((fIsOval & 1) << kIsOval_SerializationShift) |
(fConvexity << kConvexity_SerializationShift) |
(fFillType << kFillType_SerializationShift) |
(fSegmentMask << kSegmentMask_SerializationShift);
buffer.write32(packed);
fPathRef->writeToBuffer(&buffer);
buffer.write(&bounds, sizeof(bounds));
buffer.padToAlign4();
return buffer.pos();
}
uint32_t SkPath::readFromMemory(const void* storage) {
SkRBuffer buffer(storage);
#if !NEW_PICTURE_FORMAT
int32_t pcount = buffer.readS32();
int32_t vcount = buffer.readS32();
#endif
uint32_t packed = buffer.readS32();
fIsFinite = (packed >> kIsFinite_SerializationShift) & 1;
fIsOval = (packed >> kIsOval_SerializationShift) & 1;
fConvexity = (packed >> kConvexity_SerializationShift) & 0xFF;
fFillType = (packed >> kFillType_SerializationShift) & 0xFF;
fSegmentMask = (packed >> kSegmentMask_SerializationShift) & 0xFF;
#if NEW_PICTURE_FORMAT
fPathRef.reset(SkPathRef::CreateFromBuffer(&buffer));
#else
fPathRef.reset(SkPathRef::CreateFromBuffer(vcount, pcount, &buffer));
#endif
buffer.read(&fBounds, sizeof(fBounds));
fBoundsIsDirty = false;
buffer.skipToAlign4();
GEN_ID_INC;
SkDEBUGCODE(this->validate();)
return buffer.pos();
}
///////////////////////////////////////////////////////////////////////////////
void SkPath::dump(bool forceClose, const char title[]) const {
Iter iter(*this, forceClose);
SkPoint pts[4];
Verb verb;
SkDebugf("path: forceClose=%s %s\n", forceClose ? "true" : "false",
title ? title : "");
while ((verb = iter.next(pts, false)) != kDone_Verb) {
switch (verb) {
case kMove_Verb:
SkDebugf(" path: moveTo [%g %g]\n",
SkScalarToFloat(pts[0].fX), SkScalarToFloat(pts[0].fY));
break;
case kLine_Verb:
SkDebugf(" path: lineTo [%g %g]\n",
SkScalarToFloat(pts[1].fX), SkScalarToFloat(pts[1].fY));
break;
case kQuad_Verb:
SkDebugf(" path: quadTo [%g %g] [%g %g]\n",
SkScalarToFloat(pts[1].fX), SkScalarToFloat(pts[1].fY),
SkScalarToFloat(pts[2].fX), SkScalarToFloat(pts[2].fY));
break;
case kCubic_Verb:
SkDebugf(" path: cubeTo [%g %g] [%g %g] [%g %g]\n",
SkScalarToFloat(pts[1].fX), SkScalarToFloat(pts[1].fY),
SkScalarToFloat(pts[2].fX), SkScalarToFloat(pts[2].fY),
SkScalarToFloat(pts[3].fX), SkScalarToFloat(pts[3].fY));
break;
case kClose_Verb:
SkDebugf(" path: close\n");
break;
default:
SkDebugf(" path: UNKNOWN VERB %d, aborting dump...\n", verb);
verb = kDone_Verb; // stop the loop
break;
}
}
SkDebugf("path: done %s\n", title ? title : "");
}
void SkPath::dump() const {
this->dump(false);
}
#ifdef SK_DEBUG
void SkPath::validate() const {
SkASSERT(this != NULL);
SkASSERT((fFillType & ~3) == 0);
if (!fBoundsIsDirty) {
SkRect bounds;
bool isFinite = compute_pt_bounds(&bounds, *fPathRef.get());
SkASSERT(SkToBool(fIsFinite) == isFinite);
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]
SkASSERT(bounds.isEmpty());
SkASSERT(fBounds.isEmpty());
} else {
if (bounds.isEmpty()) {
SkASSERT(fBounds.isEmpty());
} else {
if (!fBounds.isEmpty()) {
SkASSERT(fBounds.contains(bounds));
}
}
}
}
uint32_t mask = 0;
const uint8_t* verbs = const_cast<const SkPathRef*>(fPathRef.get())->verbs();
for (int i = 0; i < fPathRef->countVerbs(); i++) {
switch (verbs[~i]) {
case kLine_Verb:
mask |= kLine_SegmentMask;
break;
case kQuad_Verb:
mask |= kQuad_SegmentMask;
break;
case kCubic_Verb:
mask |= kCubic_SegmentMask;
case kMove_Verb: // these verbs aren't included in the segment mask.
case kClose_Verb:
break;
case kDone_Verb:
SkDEBUGFAIL("Done verb shouldn't be recorded.");
break;
default:
SkDEBUGFAIL("Unknown Verb");
break;
}
}
SkASSERT(mask == fSegmentMask);
}
#endif
///////////////////////////////////////////////////////////////////////////////
static int sign(SkScalar x) { return x < 0; }
#define kValueNeverReturnedBySign 2
static int CrossProductSign(const SkVector& a, const SkVector& b) {
return SkScalarSignAsInt(SkPoint::CrossProduct(a, b));
}
// only valid for a single contour
struct Convexicator {
Convexicator() : fPtCount(0), fConvexity(SkPath::kConvex_Convexity) {
fSign = 0;
// warnings
fCurrPt.set(0, 0);
fVec0.set(0, 0);
fVec1.set(0, 0);
fFirstVec.set(0, 0);
fDx = fDy = 0;
fSx = fSy = kValueNeverReturnedBySign;
}
SkPath::Convexity getConvexity() const { return fConvexity; }
void addPt(const SkPoint& pt) {
if (SkPath::kConcave_Convexity == fConvexity) {
return;
}
if (0 == fPtCount) {
fCurrPt = pt;
++fPtCount;
} else {
SkVector vec = pt - fCurrPt;
if (vec.fX || vec.fY) {
fCurrPt = pt;
if (++fPtCount == 2) {
fFirstVec = fVec1 = vec;
} else {
SkASSERT(fPtCount > 2);
this->addVec(vec);
}
int sx = sign(vec.fX);
int sy = sign(vec.fY);
fDx += (sx != fSx);
fDy += (sy != fSy);
fSx = sx;
fSy = sy;
if (fDx > 3 || fDy > 3) {
fConvexity = SkPath::kConcave_Convexity;
}
}
}
}
void close() {
if (fPtCount > 2) {
this->addVec(fFirstVec);
}
}
private:
void addVec(const SkVector& vec) {
SkASSERT(vec.fX || vec.fY);
fVec0 = fVec1;
fVec1 = vec;
int sign = CrossProductSign(fVec0, fVec1);
if (0 == fSign) {
fSign = sign;
} else if (sign) {
if (fSign != sign) {
fConvexity = SkPath::kConcave_Convexity;
}
}
}
SkPoint fCurrPt;
SkVector fVec0, fVec1, fFirstVec;
int fPtCount; // non-degenerate points
int fSign;
SkPath::Convexity fConvexity;
int fDx, fDy, fSx, fSy;
};
SkPath::Convexity SkPath::ComputeConvexity(const SkPath& path) {
SkPoint pts[4];
SkPath::Verb verb;
SkPath::Iter iter(path, true);
int contourCount = 0;
int count;
Convexicator state;
while ((verb = iter.next(pts)) != SkPath::kDone_Verb) {
switch (verb) {
case kMove_Verb:
if (++contourCount > 1) {
return kConcave_Convexity;
}
pts[1] = pts[0];
count = 1;
break;
case kLine_Verb: count = 1; break;
case kQuad_Verb: count = 2; break;
case kCubic_Verb: count = 3; break;
case kClose_Verb:
state.close();
count = 0;
break;
default:
SkDEBUGFAIL("bad verb");
return kConcave_Convexity;
}
for (int i = 1; i <= count; i++) {
state.addPt(pts[i]);
}
// early exit
if (kConcave_Convexity == state.getConvexity()) {
return kConcave_Convexity;
}
}
return state.getConvexity();
}
///////////////////////////////////////////////////////////////////////////////
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;
bool fDone;
SkDEBUGCODE(int fContourCounter;)
};
ContourIter::ContourIter(const SkPathRef& pathRef) {
fStopVerbs = pathRef.verbsMemBegin();
fDone = false;
fCurrPt = pathRef.points();
fCurrVerb = pathRef.verbs();
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[~0]) {
case SkPath::kMove_Verb:
goto CONTOUR_END;
case SkPath::kLine_Verb:
ptCount += 1;
break;
case SkPath::kQuad_Verb:
ptCount += 2;
break;
case SkPath::kCubic_Verb:
ptCount += 3;
break;
default: // kClose_Verb, just keep going
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 bool crossToDir(SkScalar cross, SkPath::Direction* dir) {
if (dir) {
*dir = cross > 0 ? SkPath::kCW_Direction : SkPath::kCCW_Direction;
}
return true;
}
#if 0
#include "SkString.h"
#include "../utils/SkParsePath.h"
static void dumpPath(const SkPath& path) {
SkString str;
SkParsePath::ToSVGString(path, &str);
SkDebugf("%s\n", str.c_str());
}
#endif
namespace {
// for use with convex_dir_test
double mul(double a, double b) { return a * b; }
SkScalar mul(SkScalar a, SkScalar b) { return SkScalarMul(a, b); }
double toDouble(SkScalar a) { return SkScalarToDouble(a); }
SkScalar toScalar(SkScalar a) { return a; }
// determines the winding direction of a convex polygon with the precision
// of T. CAST_SCALAR casts an SkScalar to T.
template <typename T, T (CAST_SCALAR)(SkScalar)>
bool convex_dir_test(int n, const SkPoint pts[], SkPath::Direction* dir) {
// we find the first three points that form a non-degenerate
// triangle. If there are no such points then the path is
// degenerate. The first is always point 0. Now we find the second
// point.
int i = 0;
enum { kX = 0, kY = 1 };
T v0[2];
while (1) {
v0[kX] = CAST_SCALAR(pts[i].fX) - CAST_SCALAR(pts[0].fX);
v0[kY] = CAST_SCALAR(pts[i].fY) - CAST_SCALAR(pts[0].fY);
if (v0[kX] || v0[kY]) {
break;
}
if (++i == n - 1) {
return false;
}
}
// now find a third point that is not colinear with the first two
// points and check the orientation of the triangle (which will be
// the same as the orientation of the path).
for (++i; i < n; ++i) {
T v1[2];
v1[kX] = CAST_SCALAR(pts[i].fX) - CAST_SCALAR(pts[0].fX);
v1[kY] = CAST_SCALAR(pts[i].fY) - CAST_SCALAR(pts[0].fY);
T cross = mul(v0[kX], v1[kY]) - mul(v0[kY], v1[kX]);
if (0 != cross) {
*dir = cross > 0 ? SkPath::kCW_Direction : SkPath::kCCW_Direction;
return true;
}
}
return false;
}
}
/*
* 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.
*/
bool SkPath::cheapComputeDirection(Direction* dir) const {
// dumpPath(*this);
// don't want to pay the cost for computing this if it
// is unknown, so we don't call isConvex()
const Convexity conv = this->getConvexityOrUnknown();
ContourIter iter(*fPathRef.get());
// initialize with our logical y-min
SkScalar ymax = this->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;
if (kConvex_Convexity == conv) {
// We try first at scalar precision, and then again at double
// precision. This is because the vectors computed between distant
// points may lose too much precision.
if (convex_dir_test<SkScalar, toScalar>(n, pts, dir)) {
return true;
}
if (convex_dir_test<double, toDouble>(n, pts, dir)) {
return true;
} else {
return false;
}
} else {
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, but the pts aren't on top of each other, then
// we can just look at the direction
if (0 == cross) {
// 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;
}
}
}
return ymaxCross ? crossToDir(ymaxCross, dir) : false;
}
///////////////////////////////////////////////////////////////////////////////
static SkScalar eval_cubic_coeff(SkScalar A, SkScalar B, SkScalar C,
SkScalar D, SkScalar t) {
return SkScalarMulAdd(SkScalarMulAdd(SkScalarMulAdd(A, t, B), t, C), t, D);
}
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 eval_cubic_coeff(A, B, C, D, t);
}
/* Given 4 cubic points (either Xs or Ys), and a target X or Y, compute the
t value such that cubic(t) = target
*/
static bool chopMonoCubicAt(SkScalar c0, SkScalar c1, SkScalar c2, SkScalar c3,
SkScalar target, SkScalar* t) {
// SkASSERT(c0 <= c1 && c1 <= c2 && c2 <= c3);
SkASSERT(c0 < target && target < c3);
SkScalar D = c0 - target;
SkScalar A = c3 + 3*(c1 - c2) - c0;
SkScalar B = 3*(c2 - c1 - c1 + c0);
SkScalar C = 3*(c1 - c0);
const SkScalar TOLERANCE = SK_Scalar1 / 4096;
SkScalar minT = 0;
SkScalar maxT = SK_Scalar1;
SkScalar mid;
int i;
for (i = 0; i < 16; i++) {
mid = SkScalarAve(minT, maxT);
SkScalar delta = eval_cubic_coeff(A, B, C, D, mid);
if (delta < 0) {
minT = mid;
delta = -delta;
} else {
maxT = mid;
}
if (delta < TOLERANCE) {
break;
}
}
*t = mid;
return true;
}
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 = SkMinScalar(min, pts[i].fX);
max = SkMaxScalar(max, pts[i].fX);
}
*minPtr = min;
*maxPtr = max;
}
static int winding_mono_cubic(const SkPoint pts[], SkScalar x, SkScalar y) {
SkPoint storage[4];
int dir = 1;
if (pts[0].fY > pts[3].fY) {
storage[0] = pts[3];
storage[1] = pts[2];
storage[2] = pts[1];
storage[3] = pts[0];
pts = storage;
dir = -1;
}
if (y < pts[0].fY || y >= pts[3].fY) {
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, xt;
if (chopMonoCubicAt(pts[0].fY, pts[1].fY, pts[2].fY, pts[3].fY, y, &t)) {
xt = eval_cubic_pts(pts[0].fX, pts[1].fX, pts[2].fX, pts[3].fX, t);
} else {
SkScalar mid = SkScalarAve(pts[0].fY, pts[3].fY);
xt = y < mid ? pts[0].fX : pts[3].fX;
}
return xt < x ? dir : 0;
}
static int winding_cubic(const SkPoint pts[], SkScalar x, SkScalar y) {
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);
}
return w;
}
static int winding_mono_quad(const SkPoint pts[], SkScalar x, SkScalar y) {
SkScalar y0 = pts[0].fY;
SkScalar y2 = pts[2].fY;
int dir = 1;
if (y0 > y2) {
SkTSwap(y0, y2);
dir = -1;
}
if (y < y0 || y >= y2) {
return 0;
}
// bounds check on X (not required. is it faster?)
#if 0
if (pts[0].fX > x && pts[1].fX > x && pts[2].fX > x) {
return 0;
}
#endif
SkScalar roots[2];
int n = SkFindUnitQuadRoots(pts[0].fY - 2 * pts[1].fY + pts[2].fY,
2 * (pts[1].fY - pts[0].fY),
pts[0].fY - y,
roots);
SkASSERT(n <= 1);
SkScalar xt;
if (0 == n) {
SkScalar mid = SkScalarAve(y0, y2);
// Need [0] and [2] if dir == 1
// and [2] and [0] if dir == -1
xt = y < mid ? pts[1 - dir].fX : pts[dir - 1].fX;
} else {
SkScalar t = roots[0];
SkScalar C = pts[0].fX;
SkScalar A = pts[2].fX - 2 * pts[1].fX + C;
SkScalar B = 2 * (pts[1].fX - C);
xt = SkScalarMulAdd(SkScalarMulAdd(A, t, B), t, C);
}
return xt < x ? dir : 0;
}
static bool is_mono_quad(SkScalar y0, SkScalar y1, SkScalar y2) {
// return SkScalarSignAsInt(y0 - y1) + SkScalarSignAsInt(y1 - y2) != 0;
if (y0 == y1) {
return true;
}
if (y0 < y1) {
return y1 <= y2;
} else {
return y1 >= y2;
}
}
static int winding_quad(const SkPoint pts[], SkScalar x, SkScalar y) {
SkPoint dst[5];
int n = 0;
if (!is_mono_quad(pts[0].fY, pts[1].fY, pts[2].fY)) {
n = SkChopQuadAtYExtrema(pts, dst);
pts = dst;
}
int w = winding_mono_quad(pts, x, y);
if (n > 0) {
w += winding_mono_quad(&pts[2], x, y);
}
return w;
}
static int winding_line(const SkPoint pts[], SkScalar x, SkScalar y) {
SkScalar x0 = pts[0].fX;
SkScalar y0 = pts[0].fY;
SkScalar x1 = pts[1].fX;
SkScalar y1 = pts[1].fY;
SkScalar dy = y1 - y0;
int dir = 1;
if (y0 > y1) {
SkTSwap(y0, y1);
dir = -1;
}
if (y < y0 || y >= y1) {
return 0;
}
SkScalar cross = SkScalarMul(x1 - x0, y - pts[0].fY) -
SkScalarMul(dy, x - pts[0].fX);
if (SkScalarSignAsInt(cross) == dir) {
dir = 0;
}
return dir;
}
bool SkPath::contains(SkScalar x, SkScalar y) const {
bool isInverse = this->isInverseFillType();
if (this->isEmpty()) {
return isInverse;
}
const SkRect& bounds = this->getBounds();
if (!bounds.contains(x, y)) {
return isInverse;
}
SkPath::Iter iter(*this, true);
bool done = false;
int w = 0;
do {
SkPoint pts[4];
switch (iter.next(pts, false)) {
case SkPath::kMove_Verb:
case SkPath::kClose_Verb:
break;
case SkPath::kLine_Verb:
w += winding_line(pts, x, y);
break;
case SkPath::kQuad_Verb:
w += winding_quad(pts, x, y);
break;
case SkPath::kCubic_Verb:
w += winding_cubic(pts, x, y);
break;
case SkPath::kDone_Verb:
done = true;
break;
}
} while (!done);
switch (this->getFillType()) {
case SkPath::kEvenOdd_FillType:
case SkPath::kInverseEvenOdd_FillType:
w &= 1;
break;
default:
break;
}
return SkToBool(w);
}