/*
* 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 "SkBuffer.h"
#include "SkErrorInternals.h"
#include "SkMath.h"
#include "SkPath.h"
#include "SkPathRef.h"
#include "SkRRect.h"
#include "SkThread.h"
////////////////////////////////////////////////////////////////////////////
/**
* 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 SkAutoDisableDirectionCheck {
public:
SkAutoDisableDirectionCheck(SkPath* path) : fPath(path) {
fSaved = static_cast<SkPath::Direction>(fPath->fDirection);
}
~SkAutoDisableDirectionCheck() {
fPath->fDirection = fSaved;
}
private:
SkPath* fPath;
SkPath::Direction fSaved;
};
#define SkAutoDisableDirectionCheck(...) SK_REQUIRE_LOCAL_VAR(SkAutoDisableDirectionCheck)
/* 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 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) : 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->setConvexity(fDegenerate ? SkPath::kConvex_Convexity
: SkPath::kUnknown_Convexity);
if (fEmpty || fHasValidBounds) {
fPath->setBounds(fRect);
}
}
private:
SkPath* fPath;
SkRect fRect;
bool fHasValidBounds;
bool fDegenerate;
bool fEmpty;
void init(SkPath* path) {
// Cannot use fRect for our bounds unless we know it is sorted
fRect.sort();
fPath = path;
// 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);
}
};
#define SkAutoPathBoundsUpdate(...) SK_REQUIRE_LOCAL_VAR(SkAutoPathBoundsUpdate)
////////////////////////////////////////////////////////////////////////////
/*
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()
: fPathRef(SkPathRef::CreateEmpty())
#ifdef SK_BUILD_FOR_ANDROID
, fSourcePath(NULL)
#endif
{
this->resetFields();
}
void SkPath::resetFields() {
//fPathRef is assumed to have been emptied by the caller.
fLastMoveToIndex = INITIAL_LASTMOVETOINDEX_VALUE;
fFillType = kWinding_FillType;
fConvexity = kUnknown_Convexity;
fDirection = kUnknown_Direction;
// 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-NULL.
}
SkPath::SkPath(const SkPath& that)
: fPathRef(SkRef(that.fPathRef.get())) {
this->copyFields(that);
#ifdef SK_BUILD_FOR_ANDROID
fSourcePath = that.fSourcePath;
#endif
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);
#ifdef SK_BUILD_FOR_ANDROID
fSourcePath = that.fSourcePath;
#endif
}
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;
fConvexity = that.fConvexity;
fDirection = that.fDirection;
}
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.get() == *b.fPathRef.get());
}
void SkPath::swap(SkPath& that) {
SkASSERT(&that != NULL);
if (this != &that) {
fPathRef.swap(&that.fPathRef);
SkTSwap<int>(fLastMoveToIndex, that.fLastMoveToIndex);
SkTSwap<uint8_t>(fFillType, that.fFillType);
SkTSwap<uint8_t>(fConvexity, that.fConvexity);
SkTSwap<uint8_t>(fDirection, that.fDirection);
#ifdef SK_BUILD_FOR_ANDROID
SkTSwap<const SkPath*>(fSourcePath, that.fSourcePath);
#endif
}
}
static inline bool check_edge_against_rect(const SkPoint& p0,
const SkPoint& p1,
const SkRect& rect,
SkPath::Direction dir) {
const SkPoint* edgeBegin;
SkVector v;
if (SkPath::kCW_Direction == 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 = SkScalarMul(v.fY, rect.fLeft - edgeBegin->fX);
SkScalar xT = SkScalarMul(v.fX, rect.fTop - edgeBegin->fY);
SkScalar yR = SkScalarMul(v.fY, rect.fRight - edgeBegin->fX);
SkScalar xB = SkScalarMul(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 (kConvex_Convexity != this->getConvexity()) {
return false;
}
Direction direction;
if (!this->cheapComputeDirection(&direction)) {
return false;
}
SkPoint firstPt;
SkPoint prevPt;
RawIter iter(*this);
SkPath::Verb verb;
SkPoint pts[4];
SkDEBUGCODE(int moveCnt = 0;)
SkDEBUGCODE(int segmentCount = 0;)
SkDEBUGCODE(int closeCount = 0;)
while ((verb = iter.next(pts)) != kDone_Verb) {
int nextPt = -1;
switch (verb) {
case kMove_Verb:
SkASSERT(!segmentCount && !closeCount);
SkDEBUGCODE(++moveCnt);
firstPt = prevPt = pts[0];
break;
case kLine_Verb:
nextPt = 1;
SkASSERT(moveCnt && !closeCount);
SkDEBUGCODE(++segmentCount);
break;
case kQuad_Verb:
case kConic_Verb:
SkASSERT(moveCnt && !closeCount);
SkDEBUGCODE(++segmentCount);
nextPt = 2;
break;
case kCubic_Verb:
SkASSERT(moveCnt && !closeCount);
SkDEBUGCODE(++segmentCount);
nextPt = 3;
break;
case kClose_Verb:
SkDEBUGCODE(++closeCount;)
break;
default:
SkDEBUGFAIL("unknown verb");
}
if (-1 != nextPt) {
if (!check_edge_against_rect(prevPt, pts[nextPt], rect, direction)) {
return false;
}
prevPt = pts[nextPt];
}
}
return check_edge_against_rect(prevPt, firstPt, rect, direction);
}
uint32_t SkPath::getGenerationID() const {
uint32_t genID = fPathRef->genID();
#ifdef SK_BUILD_FOR_ANDROID
SkASSERT((unsigned)fFillType < (1 << (32 - kPathRefGenIDBitCnt)));
genID |= static_cast<uint32_t>(fFillType) << kPathRefGenIDBitCnt;
#endif
return genID;
}
#ifdef SK_BUILD_FOR_ANDROID
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());
this->resetFields();
}
void SkPath::rewind() {
SkDEBUGCODE(this->validate();)
SkPathRef::Rewind(&fPathRef);
this->resetFields();
}
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;
}
/*
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 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::isRectContour(bool allowPartial, int* currVerb, const SkPoint** ptsPtr,
bool* isClosed, Direction* direction) const {
int corners = 0;
SkPoint first, last;
const SkPoint* pts = *ptsPtr;
const SkPoint* savePts = NULL;
first.set(0, 0);
last.set(0, 0);
int firstDirection = 0;
int lastDirection = 0;
int nextDirection = 0;
bool closedOrMoved = false;
bool autoClose = false;
int verbCnt = fPathRef->countVerbs();
while (*currVerb < verbCnt && (!allowPartial || !autoClose)) {
switch (fPathRef->atVerb(*currVerb)) {
case kClose_Verb:
savePts = pts;
pts = *ptsPtr;
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
}
if (autoClose && nextDirection == firstDirection) {
break; // colinear with first
}
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 kConic_Verb:
case kCubic_Verb:
return false; // quadratic, cubic not allowed
case kMove_Verb:
last = *pts++;
closedOrMoved = true;
break;
default:
SkDEBUGFAIL("unexpected verb");
break;
}
*currVerb += 1;
lastDirection = nextDirection;
}
// Success if 4 corners and first point equals last
bool result = 4 == corners && (first == last || autoClose);
if (savePts) {
*ptsPtr = savePts;
}
if (result && isClosed) {
*isClosed = autoClose;
}
if (result && direction) {
*direction = firstDirection == ((lastDirection + 1) & 3) ? kCCW_Direction : kCW_Direction;
}
return result;
}
bool SkPath::isRect(SkRect* rect) const {
SkDEBUGCODE(this->validate();)
int currVerb = 0;
const SkPoint* pts = fPathRef->points();
bool result = isRectContour(false, &currVerb, &pts, NULL, NULL);
if (result && rect) {
*rect = getBounds();
}
return result;
}
bool SkPath::isRect(bool* isClosed, Direction* direction) const {
SkDEBUGCODE(this->validate();)
int currVerb = 0;
const SkPoint* pts = fPathRef->points();
return isRectContour(false, &currVerb, &pts, isClosed, direction);
}
bool SkPath::isNestedRects(SkRect rects[2], Direction dirs[2]) const {
SkDEBUGCODE(this->validate();)
int currVerb = 0;
const SkPoint* pts = fPathRef->points();
const SkPoint* first = pts;
Direction testDirs[2];
if (!isRectContour(true, &currVerb, &pts, NULL, &testDirs[0])) {
return false;
}
const SkPoint* last = pts;
SkRect testRects[2];
if (isRectContour(false, &currVerb, &pts, NULL, &testDirs[1])) {
testRects[0].set(first, SkToS32(last - first));
testRects[1].set(last, SkToS32(pts - last));
if (testRects[0].contains(testRects[1])) {
if (rects) {
rects[0] = testRects[0];
rects[1] = testRects[1];
}
if (dirs) {
dirs[0] = testDirs[0];
dirs[1] = testDirs[1];
}
return true;
}
if (testRects[1].contains(testRects[0])) {
if (rects) {
rects[0] = testRects[1];
rects[1] = testRects[0];
}
if (dirs) {
dirs[0] = testDirs[1];
dirs[1] = testDirs[0];
}
return true;
}
}
return false;
}
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 {
SkPathRef::Editor ed(&fPathRef);
ed.atPoint(count-1)->set(x, y);
}
}
void SkPath::setConvexity(Convexity c) {
if (fConvexity != c) {
fConvexity = c;
}
}
//////////////////////////////////////////////////////////////////////////////
// Construction methods
#define DIRTY_AFTER_EDIT \
do { \
fConvexity = kUnknown_Convexity; \
fDirection = kUnknown_Direction; \
} 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 = fPathRef->countPoints();
ed.growForVerb(kMove_Verb)->set(x, y);
}
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);
DIRTY_AFTER_EDIT;
}
void SkPath::rLineTo(SkScalar x, SkScalar y) {
this->injectMoveToIfNeeded(); // This can change the result of this->getLastPt().
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);
DIRTY_AFTER_EDIT;
}
void 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);
this->quadTo(pt.fX + x1, pt.fY + y1, pt.fX + x2, pt.fY + y2);
}
void 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);
DIRTY_AFTER_EDIT;
}
}
void 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);
this->conicTo(pt.fX + dx1, pt.fY + dy1, pt.fX + dx2, pt.fY + dy2, w);
}
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);
DIRTY_AFTER_EDIT;
}
void 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);
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 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
}
///////////////////////////////////////////////////////////////////////////////
static void assert_known_direction(int dir) {
SkASSERT(SkPath::kCW_Direction == dir || SkPath::kCCW_Direction == dir);
}
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) {
assert_known_direction(dir);
fDirection = this->hasOnlyMoveTos() ? dir : kUnknown_Direction;
SkAutoDisableDirectionCheck addc(this);
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;
}
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);
}
DIRTY_AFTER_EDIT;
SkDEBUGCODE(this->validate();)
}
#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;
} 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.
pts[0].set(oval.fRight, oval.fTop);
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::addRoundRect(const SkRect& rect, const SkScalar radii[],
Direction dir) {
SkRRect rrect;
rrect.setRectRadii(rect, (const SkVector*) radii);
this->addRRect(rrect, dir);
}
/* The inline clockwise and counterclockwise round rect quad approximations
make it easier to see the symmetry patterns used by add corner quads.
Clockwise corner value
path->lineTo(rect.fLeft, rect.fTop + ry); 0 upper left
path->quadTo(rect.fLeft, rect.fTop + offPtY,
rect.fLeft + midPtX, rect.fTop + midPtY);
path->quadTo(rect.fLeft + offPtX, rect.fTop,
rect.fLeft + rx, rect.fTop);
path->lineTo(rect.fRight - rx, rect.fTop); 1 upper right
path->quadTo(rect.fRight - offPtX, rect.fTop,
rect.fRight - midPtX, rect.fTop + midPtY);
path->quadTo(rect.fRight, rect.fTop + offPtY,
rect.fRight, rect.fTop + ry);
path->lineTo(rect.fRight, rect.fBottom - ry); 2 lower right
path->quadTo(rect.fRight, rect.fBottom - offPtY,
rect.fRight - midPtX, rect.fBottom - midPtY);
path->quadTo(rect.fRight - offPtX, rect.fBottom,
rect.fRight - rx, rect.fBottom);
path->lineTo(rect.fLeft + rx, rect.fBottom); 3 lower left
path->quadTo(rect.fLeft + offPtX, rect.fBottom,
rect.fLeft + midPtX, rect.fBottom - midPtY);
path->quadTo(rect.fLeft, rect.fBottom - offPtY,
rect.fLeft, rect.fBottom - ry);
Counterclockwise
path->lineTo(rect.fLeft, rect.fBottom - ry); 3 lower left
path->quadTo(rect.fLeft, rect.fBottom - offPtY,
rect.fLeft + midPtX, rect.fBottom - midPtY);
path->quadTo(rect.fLeft + offPtX, rect.fBottom,
rect.fLeft + rx, rect.fBottom);
path->lineTo(rect.fRight - rx, rect.fBottom); 2 lower right
path->quadTo(rect.fRight - offPtX, rect.fBottom,
rect.fRight - midPtX, rect.fBottom - midPtY);
path->quadTo(rect.fRight, rect.fBottom - offPtY,
rect.fRight, rect.fBottom - ry);
path->lineTo(rect.fRight, rect.fTop + ry); 1 upper right
path->quadTo(rect.fRight, rect.fTop + offPtY,
rect.fRight - midPtX, rect.fTop + midPtY);
path->quadTo(rect.fRight - offPtX, rect.fTop,
rect.fRight - rx, rect.fTop);
path->lineTo(rect.fLeft + rx, rect.fTop); 0 upper left
path->quadTo(rect.fLeft + offPtX, rect.fTop,
rect.fLeft + midPtX, rect.fTop + midPtY);
path->quadTo(rect.fLeft, rect.fTop + offPtY,
rect.fLeft, rect.fTop + ry);
*/
static void add_corner_quads(SkPath* path, const SkRRect& rrect,
SkRRect::Corner corner, SkPath::Direction dir) {
const SkRect& rect = rrect.rect();
const SkVector& radii = rrect.radii(corner);
SkScalar rx = radii.fX;
SkScalar ry = radii.fY;
// The mid point of the quadratic arc approximation is half way between the two
// control points.
const SkScalar mid = 1 - (SK_Scalar1 + SK_ScalarTanPIOver8) / 2;
SkScalar midPtX = rx * mid;
SkScalar midPtY = ry * mid;
const SkScalar control = 1 - SK_ScalarTanPIOver8;
SkScalar offPtX = rx * control;
SkScalar offPtY = ry * control;
static const int kCornerPts = 5;
SkScalar xOff[kCornerPts];
SkScalar yOff[kCornerPts];
if ((corner & 1) == (dir == SkPath::kCCW_Direction)) { // corners always alternate direction
SkASSERT(dir == SkPath::kCCW_Direction
? corner == SkRRect::kLowerLeft_Corner || corner == SkRRect::kUpperRight_Corner
: corner == SkRRect::kUpperLeft_Corner || corner == SkRRect::kLowerRight_Corner);
xOff[0] = xOff[1] = 0;
xOff[2] = midPtX;
xOff[3] = offPtX;
xOff[4] = rx;
yOff[0] = ry;
yOff[1] = offPtY;
yOff[2] = midPtY;
yOff[3] = yOff[4] = 0;
} else {
xOff[0] = rx;
xOff[1] = offPtX;
xOff[2] = midPtX;
xOff[3] = xOff[4] = 0;
yOff[0] = yOff[1] = 0;
yOff[2] = midPtY;
yOff[3] = offPtY;
yOff[4] = ry;
}
if ((corner - 1) & 2) {
SkASSERT(corner == SkRRect::kLowerLeft_Corner || corner == SkRRect::kUpperLeft_Corner);
for (int i = 0; i < kCornerPts; ++i) {
xOff[i] = rect.fLeft + xOff[i];
}
} else {
SkASSERT(corner == SkRRect::kLowerRight_Corner || corner == SkRRect::kUpperRight_Corner);
for (int i = 0; i < kCornerPts; ++i) {
xOff[i] = rect.fRight - xOff[i];
}
}
if (corner < SkRRect::kLowerRight_Corner) {
for (int i = 0; i < kCornerPts; ++i) {
yOff[i] = rect.fTop + yOff[i];
}
} else {
for (int i = 0; i < kCornerPts; ++i) {
yOff[i] = rect.fBottom - yOff[i];
}
}
SkPoint lastPt;
SkAssertResult(path->getLastPt(&lastPt));
if (lastPt.fX != xOff[0] || lastPt.fY != yOff[0]) {
path->lineTo(xOff[0], yOff[0]);
}
if (rx || ry) {
path->quadTo(xOff[1], yOff[1], xOff[2], yOff[2]);
path->quadTo(xOff[3], yOff[3], xOff[4], yOff[4]);
} else {
path->lineTo(xOff[2], yOff[2]);
path->lineTo(xOff[4], yOff[4]);
}
}
void SkPath::addRRect(const SkRRect& rrect, Direction dir) {
assert_known_direction(dir);
if (rrect.isEmpty()) {
return;
}
const SkRect& bounds = rrect.getBounds();
if (rrect.isRect()) {
this->addRect(bounds, dir);
} else if (rrect.isOval()) {
this->addOval(bounds, dir);
#ifdef SK_IGNORE_QUAD_RR_CORNERS_OPT
} else if (rrect.isSimple()) {
const SkVector& rad = rrect.getSimpleRadii();
this->addRoundRect(bounds, rad.x(), rad.y(), dir);
#endif
} else {
fDirection = this->hasOnlyMoveTos() ? dir : kUnknown_Direction;
SkAutoPathBoundsUpdate apbu(this, bounds);
SkAutoDisableDirectionCheck addc(this);
this->incReserve(21);
if (kCW_Direction == dir) {
this->moveTo(bounds.fLeft,
bounds.fBottom - rrect.fRadii[SkRRect::kLowerLeft_Corner].fY);
add_corner_quads(this, rrect, SkRRect::kUpperLeft_Corner, dir);
add_corner_quads(this, rrect, SkRRect::kUpperRight_Corner, dir);
add_corner_quads(this, rrect, SkRRect::kLowerRight_Corner, dir);
add_corner_quads(this, rrect, SkRRect::kLowerLeft_Corner, dir);
} else {
this->moveTo(bounds.fLeft,
bounds.fTop + rrect.fRadii[SkRRect::kUpperLeft_Corner].fY);
add_corner_quads(this, rrect, SkRRect::kLowerLeft_Corner, dir);
add_corner_quads(this, rrect, SkRRect::kLowerRight_Corner, dir);
add_corner_quads(this, rrect, SkRRect::kUpperRight_Corner, dir);
add_corner_quads(this, rrect, SkRRect::kUpperLeft_Corner, dir);
}
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 == kConic_Verb ||
*verbs == kCubic_Verb) {
return false;
}
++verbs;
}
return true;
}
#ifdef SK_IGNORE_QUAD_RR_CORNERS_OPT
#define CUBIC_ARC_FACTOR ((SK_ScalarSqrt2 - SK_Scalar1) * 4 / 3)
#endif
void SkPath::addRoundRect(const SkRect& rect, SkScalar rx, SkScalar ry,
Direction dir) {
assert_known_direction(dir);
if (rx < 0 || ry < 0) {
SkErrorInternals::SetError( kInvalidArgument_SkError,
"I got %f and %f as radii to SkPath::AddRoundRect, "
"but negative radii are not allowed.",
SkScalarToDouble(rx), SkScalarToDouble(ry) );
return;
}
#ifdef SK_IGNORE_QUAD_RR_CORNERS_OPT
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;
}
fDirection = this->hasOnlyMoveTos() ? dir : kUnknown_Direction;
SkAutoPathBoundsUpdate apbu(this, rect);
SkAutoDisableDirectionCheck addc(this);
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); // top-right
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); // right
}
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); // right
}
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();
#else
SkRRect rrect;
rrect.setRectXY(rect, rx, ry);
this->addRRect(rrect, dir);
#endif
}
void SkPath::addOval(const SkRect& oval, Direction dir) {
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) {
fDirection = dir;
} else {
fDirection = kUnknown_Direction;
}
SkAutoDisableDirectionCheck addc(this);
SkAutoPathBoundsUpdate apbu(this, oval);
SkScalar cx = oval.centerX();
SkScalar cy = oval.centerY();
SkScalar rx = SkScalarHalf(oval.width());
SkScalar ry = SkScalarHalf(oval.height());
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 );
}
this->close();
SkPathRef::Editor ed(&fPathRef);
ed.setIsOval(isOval);
}
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);
}
}
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);
SkDEBUGCODE(this->validate();)
SkASSERT(count & 1);
fLastMoveToIndex = fPathRef->countPoints();
SkPathRef::Editor ed(&fPathRef, 1+(count-1)/2, count);
ed.growForVerb(kMove_Verb)->set(pts[0].fX, pts[0].fY);
if (count > 1) {
SkPoint* p = ed.growForRepeatedVerb(kQuad_Verb, (count-1)/2);
memcpy(p, &pts[1], (count-1) * sizeof(SkPoint));
}
DIRTY_AFTER_EDIT;
SkDEBUGCODE(this->validate();)
}
/*
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());
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 kConic_Verb:
proc(matrix, &pts[1], &pts[1], 2);
this->conicTo(pts[1], pts[2], iter.conicWeight());
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 int pts_in_verb(unsigned verb) {
static const uint8_t gPtsInVerb[] = {
1, // kMove
1, // kLine
2, // kQuad
2, // kConic
3, // kCubic
0, // kClose
0 // kDone
};
SkASSERT(verb < SK_ARRAY_COUNT(gPtsInVerb));
return gPtsInVerb[verb];
}
// 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());
const uint8_t* verbs = path.fPathRef->verbs();
const SkPoint* pts = path.fPathRef->points();
const SkScalar* conicWeights = path.fPathRef->conicWeights();
SkASSERT(verbs[~0] == kMove_Verb);
for (i = 1; i < vcount; ++i) {
unsigned v = verbs[~i];
int n = pts_in_verb(v);
if (n == 0) {
break;
}
pts += n;
conicWeights += (SkPath::kConic_Verb == v);
}
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 kConic_Verb:
this->conicTo(pts[-1], pts[-2], *--conicWeights);
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 -= pts_in_verb(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
const SkScalar* conicWeights = src.fPathRef->conicWeightsEnd();
bool needMove = true;
bool needClose = false;
while (verbs < verbsEnd) {
uint8_t v = *(verbs++);
int n = pts_in_verb(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");
}
}
}
///////////////////////////////////////////////////////////////////////////////
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 kConic_Verb:
SkDEBUGFAIL("TODO: compute new weight");
tmp.conicTo(pts[1], pts[2], iter.conicWeight());
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());
dst->fDirection = kUnknown_Direction;
} else {
SkPathRef::CreateTransformedCopy(&dst->fPathRef, *fPathRef.get(), matrix);
if (this != dst) {
dst->fFillType = fFillType;
dst->fConvexity = fConvexity;
}
if (kUnknown_Direction == fDirection) {
dst->fDirection = kUnknown_Direction;
} else {
SkScalar det2x2 =
SkScalarMul(matrix.get(SkMatrix::kMScaleX), matrix.get(SkMatrix::kMScaleY)) -
SkScalarMul(matrix.get(SkMatrix::kMSkewX), matrix.get(SkMatrix::kMSkewY));
if (det2x2 < 0) {
dst->fDirection = SkPath::OppositeDirection(static_cast<Direction>(fDirection));
} else if (det2x2 > 0) {
dst->fDirection = fDirection;
} else {
dst->fConvexity = kUnknown_Convexity;
dst->fDirection = kUnknown_Direction;
}
}
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;
fConicWeights = 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();
fConicWeights = path.fPathRef->conicWeights() - 1; // begin one behind
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 kConic_Verb:
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;
fConicWeights += (kConic_Verb == verb);
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 kConic_Verb:
fConicWeights += 1;
// fall-through
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;
fConicWeights = 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();
fConicWeights = path.fPathRef->conicWeights() - 1; // begin one behind
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 kConic_Verb:
fConicWeights += 1;
// fall-through
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[]]
*/
size_t SkPath::writeToMemory(void* storage) const {
SkDEBUGCODE(this->validate();)
if (NULL == storage) {
const int byteCount = sizeof(int32_t) + fPathRef->writeSize();
return SkAlign4(byteCount);
}
SkWBuffer buffer(storage);
int32_t packed = (fConvexity << kConvexity_SerializationShift) |
(fFillType << kFillType_SerializationShift) |
(fDirection << kDirection_SerializationShift)
#ifndef DELETE_THIS_CODE_WHEN_SKPS_ARE_REBUILT_AT_V16_AND_ALL_OTHER_INSTANCES_TOO
| (0x1 << kNewFormat_SerializationShift)
#endif
;
buffer.write32(packed);
fPathRef->writeToBuffer(&buffer);
buffer.padToAlign4();
return buffer.pos();
}
size_t SkPath::readFromMemory(const void* storage, size_t length) {
SkRBufferWithSizeCheck buffer(storage, length);
int32_t packed;
if (!buffer.readS32(&packed)) {
return 0;
}
fConvexity = (packed >> kConvexity_SerializationShift) & 0xFF;
fFillType = (packed >> kFillType_SerializationShift) & 0xFF;
fDirection = (packed >> kDirection_SerializationShift) & 0x3;
#ifndef DELETE_THIS_CODE_WHEN_SKPS_ARE_REBUILT_AT_V16_AND_ALL_OTHER_INSTANCES_TOO
bool newFormat = (packed >> kNewFormat_SerializationShift) & 1;
#endif
SkPathRef* pathRef = SkPathRef::CreateFromBuffer(&buffer
#ifndef DELETE_THIS_CODE_WHEN_SKPS_ARE_REBUILT_AT_V16_AND_ALL_OTHER_INSTANCES_TOO
, newFormat, packed
#endif
);
size_t sizeRead = 0;
if (buffer.isValid()) {
fPathRef.reset(pathRef);
SkDEBUGCODE(this->validate();)
buffer.skipToAlign4();
sizeRead = buffer.pos();
} else if (NULL != pathRef) {
// If the buffer is not valid, pathRef should be NULL
sk_throw();
}
return sizeRead;
}
///////////////////////////////////////////////////////////////////////////////
#include "SkString.h"
static void append_scalar(SkString* str, SkScalar value) {
SkString tmp;
tmp.printf("%g", value);
if (tmp.contains('.')) {
tmp.appendUnichar('f');
}
str->append(tmp);
}
static void append_params(SkString* str, const char label[], const SkPoint pts[],
int count, SkScalar conicWeight = -1) {
str->append(label);
str->append("(");
const SkScalar* values = &pts[0].fX;
count *= 2;
for (int i = 0; i < count; ++i) {
append_scalar(str, values[i]);
if (i < count - 1) {
str->append(", ");
}
}
if (conicWeight >= 0) {
str->append(", ");
append_scalar(str, conicWeight);
}
str->append(");\n");
}
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 : "");
SkString builder;
while ((verb = iter.next(pts, false)) != kDone_Verb) {
switch (verb) {
case kMove_Verb:
append_params(&builder, "path.moveTo", &pts[0], 1);
break;
case kLine_Verb:
append_params(&builder, "path.lineTo", &pts[1], 1);
break;
case kQuad_Verb:
append_params(&builder, "path.quadTo", &pts[1], 2);
break;
case kConic_Verb:
append_params(&builder, "path.conicTo", &pts[1], 2, iter.conicWeight());
break;
case kCubic_Verb:
append_params(&builder, "path.cubicTo", &pts[1], 3);
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;
}
}
SkDebugf("%s\n", builder.c_str());
}
void SkPath::dump() const {
this->dump(false);
}
#ifdef SK_DEBUG
void SkPath::validate() const {
SkASSERT(this != NULL);
SkASSERT((fFillType & ~3) == 0);
#ifdef SK_DEBUG_PATH
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));
}
}
}
}
#endif // SK_DEBUG_PATH
}
#endif // SK_DEBUG
///////////////////////////////////////////////////////////////////////////////
static int sign(SkScalar x) { return x < 0; }
#define kValueNeverReturnedBySign 2
static bool AlmostEqual(SkScalar compA, SkScalar compB) {
// The error epsilon was empirically derived; worse case round rects
// with a mid point outset by 2x float epsilon in tests had an error
// of 12.
const int epsilon = 16;
if (!SkScalarIsFinite(compA) || !SkScalarIsFinite(compB)) {
return false;
}
// no need to check for small numbers because SkPath::Iter has removed degenerate values
int aBits = SkFloatAs2sCompliment(compA);
int bBits = SkFloatAs2sCompliment(compB);
return aBits < bBits + epsilon && bBits < aBits + epsilon;
}
// only valid for a single contour
struct Convexicator {
Convexicator()
: fPtCount(0)
, fConvexity(SkPath::kConvex_Convexity)
, fDirection(SkPath::kUnknown_Direction) {
fSign = 0;
// warnings
fLastPt.set(0, 0);
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; }
/** The direction returned is only valid if the path is determined convex */
SkPath::Direction getDirection() const { return fDirection; }
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) {
fLastPt = fCurrPt;
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;
SkScalar cross = SkPoint::CrossProduct(fVec0, fVec1);
SkScalar smallest = SkTMin(fCurrPt.fX, SkTMin(fCurrPt.fY, SkTMin(fLastPt.fX, fLastPt.fY)));
SkScalar largest = SkTMax(fCurrPt.fX, SkTMax(fCurrPt.fY, SkTMax(fLastPt.fX, fLastPt.fY)));
largest = SkTMax(largest, -smallest);
int sign = AlmostEqual(largest, largest + cross) ? 0 : SkScalarSignAsInt(cross);
if (0 == fSign) {
fSign = sign;
if (1 == sign) {
fDirection = SkPath::kCW_Direction;
} else if (-1 == sign) {
fDirection = SkPath::kCCW_Direction;
}
} else if (sign) {
if (fSign != sign) {
fConvexity = SkPath::kConcave_Convexity;
fDirection = SkPath::kUnknown_Direction;
}
}
}
SkPoint fLastPt;
SkPoint fCurrPt;
SkVector fVec0, fVec1, fFirstVec;
int fPtCount; // non-degenerate points
int fSign;
SkPath::Convexity fConvexity;
SkPath::Direction fDirection;
int fDx, fDy, fSx, fSy;
};
SkPath::Convexity SkPath::internalGetConvexity() const {
SkASSERT(kUnknown_Convexity == fConvexity);
SkPoint pts[4];
SkPath::Verb verb;
SkPath::Iter iter(*this, true);
int contourCount = 0;
int count;
Convexicator state;
while ((verb = iter.next(pts)) != SkPath::kDone_Verb) {
switch (verb) {
case kMove_Verb:
if (++contourCount > 1) {
fConvexity = kConcave_Convexity;
return kConcave_Convexity;
}
pts[1] = pts[0];
count = 1;
break;
case kLine_Verb: count = 1; break;
case kQuad_Verb: count = 2; break;
case kConic_Verb: count = 2; break;
case kCubic_Verb: count = 3; break;
case kClose_Verb:
state.close();
count = 0;
break;
default:
SkDEBUGFAIL("bad verb");
fConvexity = kConcave_Convexity;
return kConcave_Convexity;
}
for (int i = 1; i <= count; i++) {
state.addPt(pts[i]);
}
// early exit
if (kConcave_Convexity == state.getConvexity()) {
fConvexity = kConcave_Convexity;
return kConcave_Convexity;
}
}
fConvexity = state.getConvexity();
if (kConvex_Convexity == fConvexity && kUnknown_Direction == fDirection) {
fDirection = state.getDirection();
}
return static_cast<Convexity>(fConvexity);
}
///////////////////////////////////////////////////////////////////////////////
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.verbsMemBegin();
fDone = false;
fCurrPt = pathRef.points();
fCurrVerb = pathRef.verbs();
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[~0]) {
case SkPath::kMove_Verb:
goto CONTOUR_END;
case SkPath::kLine_Verb:
ptCount += 1;
break;
case SkPath::kConic_Verb:
fCurrConicWeight += 1;
// fall-through
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 void crossToDir(SkScalar cross, SkPath::Direction* dir) {
*dir = cross > 0 ? SkPath::kCW_Direction : SkPath::kCCW_Direction;
}
/*
* 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 {
if (kUnknown_Direction != fDirection) {
*dir = static_cast<Direction>(fDirection);
return true;
}
// don't want to pay the cost for computing this if it
// is unknown, so we don't call isConvex()
if (kConvex_Convexity == this->getConvexityOrUnknown()) {
SkASSERT(kUnknown_Direction == fDirection);
*dir = static_cast<Direction>(fDirection);
return false;
}
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;
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) {
crossToDir(ymaxCross, dir);
fDirection = *dir;
return true;
} else {
return 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 void 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;
}
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;
chopMonoCubicAt(pts[0].fY, pts[1].fY, pts[2].fY, pts[3].fY, y, &t);
SkScalar xt = eval_cubic_pts(pts[0].fX, pts[1].fX, pts[2].fX, pts[3].fX, t);
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;
}
static bool contains_inclusive(const SkRect& r, SkScalar x, SkScalar y) {
return r.fLeft <= x && x <= r.fRight && r.fTop <= y && y <= r.fBottom;
}
bool SkPath::contains(SkScalar x, SkScalar y) const {
bool isInverse = this->isInverseFillType();
if (this->isEmpty()) {
return isInverse;
}
if (!contains_inclusive(this->getBounds(), 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::kConic_Verb:
SkASSERT(0);
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);
}