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gerrit-public.fairphone.software / platform / external / skqp / aa35831d1d0e4c798a63fe772430adc4f3a038cd / . / experimental / Intersection / Simplify.cpp
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/*
* Copyright 2012 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "Simplify.h"
#undef SkASSERT
#define SkASSERT(cond) while (!(cond)) { sk_throw(); }
// Terminology:
// A Path contains one of more Contours
// A Contour is made up of Segment array
// A Segment is described by a Verb and a Point array with 2, 3, or 4 points
// A Verb is one of Line, Quad(ratic), or Cubic
// A Segment contains a Span array
// A Span is describes a portion of a Segment using starting and ending T
// T values range from 0 to 1, where 0 is the first Point in the Segment
// An Edge is a Segment generated from a Span
// FIXME: remove once debugging is complete
#ifdef SK_DEBUG
int gDebugMaxWindSum = SK_MaxS32;
int gDebugMaxWindValue = SK_MaxS32;
#endif
#define PIN_ADD_T 0
#define TRY_ROTATE 1
#define ONE_PASS_COINCIDENCE_CHECK 0
#define APPROXIMATE_CUBICS 1
#define DEBUG_UNUSED 0 // set to expose unused functions
#define FORCE_RELEASE 0 // set force release to 1 for multiple thread -- no debugging
#if FORCE_RELEASE || defined SK_RELEASE
const bool gRunTestsInOneThread = false;
#define DEBUG_ACTIVE_SPANS 0
#define DEBUG_ACTIVE_SPANS_SHORT_FORM 0
#define DEBUG_ADD_INTERSECTING_TS 0
#define DEBUG_ADD_T_PAIR 0
#define DEBUG_ANGLE 0
#define DEBUG_ASSEMBLE 0
#define DEBUG_CONCIDENT 0
#define DEBUG_CROSS 0
#define DEBUG_FLOW 0
#define DEBUG_MARK_DONE 0
#define DEBUG_PATH_CONSTRUCTION 0
#define DEBUG_SHOW_WINDING 0
#define DEBUG_SORT 0
#define DEBUG_UNSORTABLE 0
#define DEBUG_WIND_BUMP 0
#define DEBUG_WINDING 0
#define DEBUG_WINDING_AT_T 0
#else
const bool gRunTestsInOneThread = true;
#define DEBUG_ACTIVE_SPANS 1
#define DEBUG_ACTIVE_SPANS_SHORT_FORM 1
#define DEBUG_ADD_INTERSECTING_TS 1
#define DEBUG_ADD_T_PAIR 1
#define DEBUG_ANGLE 1
#define DEBUG_ASSEMBLE 1
#define DEBUG_CONCIDENT 1
#define DEBUG_CROSS 0
#define DEBUG_FLOW 1
#define DEBUG_MARK_DONE 1
#define DEBUG_PATH_CONSTRUCTION 1
#define DEBUG_SHOW_WINDING 0
#define DEBUG_SORT 1
#define DEBUG_UNSORTABLE 1
#define DEBUG_WIND_BUMP 0
#define DEBUG_WINDING 1
#define DEBUG_WINDING_AT_T 1
#endif
#define DEBUG_DUMP (DEBUG_ACTIVE_SPANS | DEBUG_CONCIDENT | DEBUG_SORT | DEBUG_PATH_CONSTRUCTION)
#if DEBUG_DUMP
static const char* kLVerbStr[] = {"", "line", "quad", "cubic"};
// static const char* kUVerbStr[] = {"", "Line", "Quad", "Cubic"};
static int gContourID;
static int gSegmentID;
#endif
#ifndef DEBUG_TEST
#define DEBUG_TEST 0
#endif
#define MAKE_CONST_LINE(line, pts) \
const _Line line = {{pts[0].fX, pts[0].fY}, {pts[1].fX, pts[1].fY}}
#define MAKE_CONST_QUAD(quad, pts) \
const Quadratic quad = {{pts[0].fX, pts[0].fY}, {pts[1].fX, pts[1].fY}, \
{pts[2].fX, pts[2].fY}}
#define MAKE_CONST_CUBIC(cubic, pts) \
const Cubic cubic = {{pts[0].fX, pts[0].fY}, {pts[1].fX, pts[1].fY}, \
{pts[2].fX, pts[2].fY}, {pts[3].fX, pts[3].fY}}
static int LineIntersect(const SkPoint a[2], const SkPoint b[2],
Intersections& intersections) {
MAKE_CONST_LINE(aLine, a);
MAKE_CONST_LINE(bLine, b);
return intersect(aLine, bLine, intersections.fT[0], intersections.fT[1]);
}
static int QuadLineIntersect(const SkPoint a[3], const SkPoint b[2],
Intersections& intersections) {
MAKE_CONST_QUAD(aQuad, a);
MAKE_CONST_LINE(bLine, b);
return intersect(aQuad, bLine, intersections);
}
static int CubicLineIntersect(const SkPoint a[4], const SkPoint b[2],
Intersections& intersections) {
MAKE_CONST_CUBIC(aCubic, a);
MAKE_CONST_LINE(bLine, b);
return intersect(aCubic, bLine, intersections);
}
static int QuadIntersect(const SkPoint a[3], const SkPoint b[3],
Intersections& intersections) {
MAKE_CONST_QUAD(aQuad, a);
MAKE_CONST_QUAD(bQuad, b);
#define TRY_QUARTIC_SOLUTION 1
#if TRY_QUARTIC_SOLUTION
intersect2(aQuad, bQuad, intersections);
#else
intersect(aQuad, bQuad, intersections);
#endif
return intersections.fUsed ? intersections.fUsed : intersections.fCoincidentUsed;
}
#if APPROXIMATE_CUBICS
static int CubicQuadIntersect(const SkPoint a[4], const SkPoint b[3],
Intersections& intersections) {
MAKE_CONST_CUBIC(aCubic, a);
MAKE_CONST_QUAD(bQuad, b);
return intersect(aCubic, bQuad, intersections);
}
#endif
static int CubicIntersect(const SkPoint a[4], const SkPoint b[4], Intersections& intersections) {
MAKE_CONST_CUBIC(aCubic, a);
MAKE_CONST_CUBIC(bCubic, b);
#if APPROXIMATE_CUBICS
intersect2(aCubic, bCubic, intersections);
#else
intersect(aCubic, bCubic, intersections);
#endif
return intersections.fUsed;
}
static int HLineIntersect(const SkPoint a[2], SkScalar left, SkScalar right,
SkScalar y, bool flipped, Intersections& intersections) {
MAKE_CONST_LINE(aLine, a);
return horizontalIntersect(aLine, left, right, y, flipped, intersections);
}
static int HQuadIntersect(const SkPoint a[3], SkScalar left, SkScalar right,
SkScalar y, bool flipped, Intersections& intersections) {
MAKE_CONST_QUAD(aQuad, a);
return horizontalIntersect(aQuad, left, right, y, flipped, intersections);
}
static int HCubicIntersect(const SkPoint a[4], SkScalar left, SkScalar right,
SkScalar y, bool flipped, Intersections& intersections) {
MAKE_CONST_CUBIC(aCubic, a);
return horizontalIntersect(aCubic, left, right, y, flipped, intersections);
}
static int (* const HSegmentIntersect[])(const SkPoint [], SkScalar ,
SkScalar , SkScalar , bool , Intersections& ) = {
NULL,
HLineIntersect,
HQuadIntersect,
HCubicIntersect
};
static int VLineIntersect(const SkPoint a[2], SkScalar top, SkScalar bottom,
SkScalar x, bool flipped, Intersections& intersections) {
MAKE_CONST_LINE(aLine, a);
return verticalIntersect(aLine, top, bottom, x, flipped, intersections);
}
static int VQuadIntersect(const SkPoint a[3], SkScalar top, SkScalar bottom,
SkScalar x, bool flipped, Intersections& intersections) {
MAKE_CONST_QUAD(aQuad, a);
return verticalIntersect(aQuad, top, bottom, x, flipped, intersections);
}
static int VCubicIntersect(const SkPoint a[4], SkScalar top, SkScalar bottom,
SkScalar x, bool flipped, Intersections& intersections) {
MAKE_CONST_CUBIC(aCubic, a);
return verticalIntersect(aCubic, top, bottom, x, flipped, intersections);
}
static int (* const VSegmentIntersect[])(const SkPoint [], SkScalar ,
SkScalar , SkScalar , bool , Intersections& ) = {
NULL,
VLineIntersect,
VQuadIntersect,
VCubicIntersect
};
static void LineXYAtT(const SkPoint a[2], double t, SkPoint* out) {
MAKE_CONST_LINE(line, a);
double x, y;
xy_at_t(line, t, x, y);
out->fX = SkDoubleToScalar(x);
out->fY = SkDoubleToScalar(y);
}
static void QuadXYAtT(const SkPoint a[3], double t, SkPoint* out) {
MAKE_CONST_QUAD(quad, a);
double x, y;
xy_at_t(quad, t, x, y);
out->fX = SkDoubleToScalar(x);
out->fY = SkDoubleToScalar(y);
}
static void QuadXYAtT(const SkPoint a[3], double t, _Point* out) {
MAKE_CONST_QUAD(quad, a);
xy_at_t(quad, t, out->x, out->y);
}
static void CubicXYAtT(const SkPoint a[4], double t, SkPoint* out) {
MAKE_CONST_CUBIC(cubic, a);
double x, y;
xy_at_t(cubic, t, x, y);
out->fX = SkDoubleToScalar(x);
out->fY = SkDoubleToScalar(y);
}
static void (* const SegmentXYAtT[])(const SkPoint [], double , SkPoint* ) = {
NULL,
LineXYAtT,
QuadXYAtT,
CubicXYAtT
};
static SkScalar LineXAtT(const SkPoint a[2], double t) {
MAKE_CONST_LINE(aLine, a);
double x;
xy_at_t(aLine, t, x, *(double*) 0);
return SkDoubleToScalar(x);
}
static SkScalar QuadXAtT(const SkPoint a[3], double t) {
MAKE_CONST_QUAD(quad, a);
double x;
xy_at_t(quad, t, x, *(double*) 0);
return SkDoubleToScalar(x);
}
static SkScalar CubicXAtT(const SkPoint a[4], double t) {
MAKE_CONST_CUBIC(cubic, a);
double x;
xy_at_t(cubic, t, x, *(double*) 0);
return SkDoubleToScalar(x);
}
static SkScalar (* const SegmentXAtT[])(const SkPoint [], double ) = {
NULL,
LineXAtT,
QuadXAtT,
CubicXAtT
};
static SkScalar LineYAtT(const SkPoint a[2], double t) {
MAKE_CONST_LINE(aLine, a);
double y;
xy_at_t(aLine, t, *(double*) 0, y);
return SkDoubleToScalar(y);
}
static SkScalar QuadYAtT(const SkPoint a[3], double t) {
MAKE_CONST_QUAD(quad, a);
double y;
xy_at_t(quad, t, *(double*) 0, y);
return SkDoubleToScalar(y);
}
static SkScalar CubicYAtT(const SkPoint a[4], double t) {
MAKE_CONST_CUBIC(cubic, a);
double y;
xy_at_t(cubic, t, *(double*) 0, y);
return SkDoubleToScalar(y);
}
static SkScalar (* const SegmentYAtT[])(const SkPoint [], double ) = {
NULL,
LineYAtT,
QuadYAtT,
CubicYAtT
};
static SkScalar LineDXAtT(const SkPoint a[2], double ) {
return a[1].fX - a[0].fX;
}
static SkScalar QuadDXAtT(const SkPoint a[3], double t) {
MAKE_CONST_QUAD(quad, a);
double x = dx_at_t(quad, t);
return SkDoubleToScalar(x);
}
static SkScalar CubicDXAtT(const SkPoint a[4], double t) {
MAKE_CONST_CUBIC(cubic, a);
double x = dx_at_t(cubic, t);
return SkDoubleToScalar(x);
}
static SkScalar (* const SegmentDXAtT[])(const SkPoint [], double ) = {
NULL,
LineDXAtT,
QuadDXAtT,
CubicDXAtT
};
static SkScalar LineDYAtT(const SkPoint a[2], double ) {
return a[1].fY - a[0].fY;
}
static SkScalar QuadDYAtT(const SkPoint a[3], double t) {
MAKE_CONST_QUAD(quad, a);
double y = dy_at_t(quad, t);
return SkDoubleToScalar(y);
}
static SkScalar CubicDYAtT(const SkPoint a[4], double t) {
MAKE_CONST_CUBIC(cubic, a);
double y = dy_at_t(cubic, t);
return SkDoubleToScalar(y);
}
static SkScalar (* const SegmentDYAtT[])(const SkPoint [], double ) = {
NULL,
LineDYAtT,
QuadDYAtT,
CubicDYAtT
};
static void LineSubDivide(const SkPoint a[2], double startT, double endT,
SkPoint sub[2]) {
MAKE_CONST_LINE(aLine, a);
_Line dst;
sub_divide(aLine, startT, endT, dst);
sub[0].fX = SkDoubleToScalar(dst[0].x);
sub[0].fY = SkDoubleToScalar(dst[0].y);
sub[1].fX = SkDoubleToScalar(dst[1].x);
sub[1].fY = SkDoubleToScalar(dst[1].y);
}
static void QuadSubDivide(const SkPoint a[3], double startT, double endT,
SkPoint sub[3]) {
MAKE_CONST_QUAD(aQuad, a);
Quadratic dst;
sub_divide(aQuad, startT, endT, dst);
sub[0].fX = SkDoubleToScalar(dst[0].x);
sub[0].fY = SkDoubleToScalar(dst[0].y);
sub[1].fX = SkDoubleToScalar(dst[1].x);
sub[1].fY = SkDoubleToScalar(dst[1].y);
sub[2].fX = SkDoubleToScalar(dst[2].x);
sub[2].fY = SkDoubleToScalar(dst[2].y);
}
static void CubicSubDivide(const SkPoint a[4], double startT, double endT,
SkPoint sub[4]) {
MAKE_CONST_CUBIC(aCubic, a);
Cubic dst;
sub_divide(aCubic, startT, endT, dst);
sub[0].fX = SkDoubleToScalar(dst[0].x);
sub[0].fY = SkDoubleToScalar(dst[0].y);
sub[1].fX = SkDoubleToScalar(dst[1].x);
sub[1].fY = SkDoubleToScalar(dst[1].y);
sub[2].fX = SkDoubleToScalar(dst[2].x);
sub[2].fY = SkDoubleToScalar(dst[2].y);
sub[3].fX = SkDoubleToScalar(dst[3].x);
sub[3].fY = SkDoubleToScalar(dst[3].y);
}
static void (* const SegmentSubDivide[])(const SkPoint [], double , double ,
SkPoint []) = {
NULL,
LineSubDivide,
QuadSubDivide,
CubicSubDivide
};
static void LineSubDivideHD(const SkPoint a[2], double startT, double endT, _Line& dst) {
MAKE_CONST_LINE(aLine, a);
sub_divide(aLine, startT, endT, dst);
}
static void QuadSubDivideHD(const SkPoint a[3], double startT, double endT, Quadratic& dst) {
MAKE_CONST_QUAD(aQuad, a);
sub_divide(aQuad, startT, endT, dst);
}
static void CubicSubDivideHD(const SkPoint a[4], double startT, double endT, Cubic& dst) {
MAKE_CONST_CUBIC(aCubic, a);
sub_divide(aCubic, startT, endT, dst);
}
#if DEBUG_UNUSED
static void QuadSubBounds(const SkPoint a[3], double startT, double endT,
SkRect& bounds) {
SkPoint dst[3];
QuadSubDivide(a, startT, endT, dst);
bounds.fLeft = bounds.fRight = dst[0].fX;
bounds.fTop = bounds.fBottom = dst[0].fY;
for (int index = 1; index < 3; ++index) {
bounds.growToInclude(dst[index].fX, dst[index].fY);
}
}
static void CubicSubBounds(const SkPoint a[4], double startT, double endT,
SkRect& bounds) {
SkPoint dst[4];
CubicSubDivide(a, startT, endT, dst);
bounds.fLeft = bounds.fRight = dst[0].fX;
bounds.fTop = bounds.fBottom = dst[0].fY;
for (int index = 1; index < 4; ++index) {
bounds.growToInclude(dst[index].fX, dst[index].fY);
}
}
#endif
static SkPath::Verb QuadReduceOrder(const SkPoint a[3],
SkTDArray<SkPoint>& reducePts) {
MAKE_CONST_QUAD(aQuad, a);
Quadratic dst;
int order = reduceOrder(aQuad, dst);
if (order == 2) { // quad became line
for (int index = 0; index < order; ++index) {
SkPoint* pt = reducePts.append();
pt->fX = SkDoubleToScalar(dst[index].x);
pt->fY = SkDoubleToScalar(dst[index].y);
}
}
return (SkPath::Verb) (order - 1);
}
static SkPath::Verb CubicReduceOrder(const SkPoint a[4],
SkTDArray<SkPoint>& reducePts) {
MAKE_CONST_CUBIC(aCubic, a);
Cubic dst;
int order = reduceOrder(aCubic, dst, kReduceOrder_QuadraticsAllowed);
if (order == 2 || order == 3) { // cubic became line or quad
for (int index = 0; index < order; ++index) {
SkPoint* pt = reducePts.append();
pt->fX = SkDoubleToScalar(dst[index].x);
pt->fY = SkDoubleToScalar(dst[index].y);
}
}
return (SkPath::Verb) (order - 1);
}
static bool QuadIsLinear(const SkPoint a[3]) {
MAKE_CONST_QUAD(aQuad, a);
return isLinear(aQuad, 0, 2);
}
static bool CubicIsLinear(const SkPoint a[4]) {
MAKE_CONST_CUBIC(aCubic, a);
return isLinear(aCubic, 0, 3);
}
static SkScalar LineLeftMost(const SkPoint a[2], double startT, double endT) {
MAKE_CONST_LINE(aLine, a);
double x[2];
xy_at_t(aLine, startT, x[0], *(double*) 0);
xy_at_t(aLine, endT, x[1], *(double*) 0);
return SkMinScalar((float) x[0], (float) x[1]);
}
static SkScalar QuadLeftMost(const SkPoint a[3], double startT, double endT) {
MAKE_CONST_QUAD(aQuad, a);
return (float) leftMostT(aQuad, startT, endT);
}
static SkScalar CubicLeftMost(const SkPoint a[4], double startT, double endT) {
MAKE_CONST_CUBIC(aCubic, a);
return (float) leftMostT(aCubic, startT, endT);
}
static SkScalar (* const SegmentLeftMost[])(const SkPoint [], double , double) = {
NULL,
LineLeftMost,
QuadLeftMost,
CubicLeftMost
};
#if 0 // currently unused
static int QuadRayIntersect(const SkPoint a[3], const SkPoint b[2],
Intersections& intersections) {
MAKE_CONST_QUAD(aQuad, a);
MAKE_CONST_LINE(bLine, b);
return intersectRay(aQuad, bLine, intersections);
}
#endif
static int QuadRayIntersect(const SkPoint a[3], const _Line& bLine,
Intersections& intersections) {
MAKE_CONST_QUAD(aQuad, a);
return intersectRay(aQuad, bLine, intersections);
}
static bool LineVertical(const SkPoint a[2], double startT, double endT) {
MAKE_CONST_LINE(aLine, a);
double x[2];
xy_at_t(aLine, startT, x[0], *(double*) 0);
xy_at_t(aLine, endT, x[1], *(double*) 0);
return AlmostEqualUlps((float) x[0], (float) x[1]);
}
static bool QuadVertical(const SkPoint a[3], double startT, double endT) {
SkPoint dst[3];
QuadSubDivide(a, startT, endT, dst);
return AlmostEqualUlps(dst[0].fX, dst[1].fX) && AlmostEqualUlps(dst[1].fX, dst[2].fX);
}
static bool CubicVertical(const SkPoint a[4], double startT, double endT) {
SkPoint dst[4];
CubicSubDivide(a, startT, endT, dst);
return AlmostEqualUlps(dst[0].fX, dst[1].fX) && AlmostEqualUlps(dst[1].fX, dst[2].fX)
&& AlmostEqualUlps(dst[2].fX, dst[3].fX);
}
static bool (* const SegmentVertical[])(const SkPoint [], double , double) = {
NULL,
LineVertical,
QuadVertical,
CubicVertical
};
class Segment;
struct Span {
Segment* fOther;
mutable SkPoint fPt; // lazily computed as needed
double fT;
double fOtherT; // value at fOther[fOtherIndex].fT
int fOtherIndex; // can't be used during intersection
int fWindSum; // accumulated from contours surrounding this one.
int fOppSum; // for binary operators: the opposite winding sum
int fWindValue; // 0 == canceled; 1 == normal; >1 == coincident
int fOppValue; // normally 0 -- when binary coincident edges combine, opp value goes here
bool fDone; // if set, this span to next higher T has been processed
bool fUnsortableStart; // set when start is part of an unsortable pair
bool fUnsortableEnd; // set when end is part of an unsortable pair
bool fTiny; // if set, span may still be considered once for edge following
};
// sorting angles
// given angles of {dx dy ddx ddy dddx dddy} sort them
class Angle {
public:
// FIXME: this is bogus for quads and cubics
// if the quads and cubics' line from end pt to ctrl pt are coincident,
// there's no obvious way to determine the curve ordering from the
// derivatives alone. In particular, if one quadratic's coincident tangent
// is longer than the other curve, the final control point can place the
// longer curve on either side of the shorter one.
// Using Bezier curve focus http://cagd.cs.byu.edu/~tom/papers/bezclip.pdf
// may provide some help, but nothing has been figured out yet.
/*(
for quads and cubics, set up a parameterized line (e.g. LineParameters )
for points [0] to [1]. See if point [2] is on that line, or on one side
or the other. If it both quads' end points are on the same side, choose
the shorter tangent. If the tangents are equal, choose the better second
tangent angle
maybe I could set up LineParameters lazily
*/
bool operator<(const Angle& rh) const {
double y = dy();
double ry = rh.dy();
if ((y < 0) ^ (ry < 0)) { // OPTIMIZATION: better to use y * ry < 0 ?
return y < 0;
}
double x = dx();
double rx = rh.dx();
if (y == 0 && ry == 0 && x * rx < 0) {
return x < rx;
}
double x_ry = x * ry;
double rx_y = rx * y;
double cmp = x_ry - rx_y;
if (!approximately_zero(cmp)) {
return cmp < 0;
}
if (approximately_zero(x_ry) && approximately_zero(rx_y)
&& !approximately_zero_squared(cmp)) {
return cmp < 0;
}
// at this point, the initial tangent line is coincident
if (fSide * rh.fSide <= 0 && (!approximately_zero(fSide)
|| !approximately_zero(rh.fSide))) {
// FIXME: running demo will trigger this assertion
// (don't know if commenting out will trigger further assertion or not)
// commenting it out allows demo to run in release, though
// SkASSERT(fSide != rh.fSide);
return fSide < rh.fSide;
}
// see if either curve can be lengthened and try the tangent compare again
if (cmp && (*fSpans)[fEnd].fOther != rh.fSegment // tangents not absolutely identical
&& (*rh.fSpans)[rh.fEnd].fOther != fSegment) { // and not intersecting
Angle longer = *this;
Angle rhLonger = rh;
if (longer.lengthen() | rhLonger.lengthen()) {
return longer < rhLonger;
}
#if 0
// what if we extend in the other direction?
longer = *this;
rhLonger = rh;
if (longer.reverseLengthen() | rhLonger.reverseLengthen()) {
return longer < rhLonger;
}
#endif
}
if ((fVerb == SkPath::kLine_Verb && approximately_zero(x) && approximately_zero(y))
|| (rh.fVerb == SkPath::kLine_Verb
&& approximately_zero(rx) && approximately_zero(ry))) {
// See general unsortable comment below. This case can happen when
// one line has a non-zero change in t but no change in x and y.
fUnsortable = true;
rh.fUnsortable = true;
return this < &rh; // even with no solution, return a stable sort
}
if ((*rh.fSpans)[SkMin32(rh.fStart, rh.fEnd)].fTiny
|| (*fSpans)[SkMin32(fStart, fEnd)].fTiny) {
fUnsortable = true;
rh.fUnsortable = true;
return this < &rh; // even with no solution, return a stable sort
}
SkASSERT(fVerb == SkPath::kQuad_Verb); // worry about cubics later
SkASSERT(rh.fVerb == SkPath::kQuad_Verb);
// FIXME: until I can think of something better, project a ray from the
// end of the shorter tangent to midway between the end points
// through both curves and use the resulting angle to sort
// FIXME: some of this setup can be moved to set() if it works, or cached if it's expensive
double len = fTangent1.normalSquared();
double rlen = rh.fTangent1.normalSquared();
_Line ray;
Intersections i, ri;
int roots, rroots;
bool flip = false;
do {
const Quadratic& q = (len < rlen) ^ flip ? fQ : rh.fQ;
double midX = (q[0].x + q[2].x) / 2;
double midY = (q[0].y + q[2].y) / 2;
ray[0] = q[1];
ray[1].x = midX;
ray[1].y = midY;
SkASSERT(ray[0] != ray[1]);
roots = QuadRayIntersect(fPts, ray, i);
rroots = QuadRayIntersect(rh.fPts, ray, ri);
} while ((roots == 0 || rroots == 0) && (flip ^= true));
if (roots == 0 || rroots == 0) {
// FIXME: we don't have a solution in this case. The interim solution
// is to mark the edges as unsortable, exclude them from this and
// future computations, and allow the returned path to be fragmented
fUnsortable = true;
rh.fUnsortable = true;
return this < &rh; // even with no solution, return a stable sort
}
_Point loc;
double best = SK_ScalarInfinity;
double dx, dy, dist;
int index;
for (index = 0; index < roots; ++index) {
QuadXYAtT(fPts, i.fT[0][index], &loc);
dx = loc.x - ray[0].x;
dy = loc.y - ray[0].y;
dist = dx * dx + dy * dy;
if (best > dist) {
best = dist;
}
}
for (index = 0; index < rroots; ++index) {
QuadXYAtT(rh.fPts, ri.fT[0][index], &loc);
dx = loc.x - ray[0].x;
dy = loc.y - ray[0].y;
dist = dx * dx + dy * dy;
if (best > dist) {
return fSide < 0;
}
}
return fSide > 0;
}
double dx() const {
return fTangent1.dx();
}
double dy() const {
return fTangent1.dy();
}
int end() const {
return fEnd;
}
bool isHorizontal() const {
return dy() == 0 && fVerb == SkPath::kLine_Verb;
}
bool lengthen() {
int newEnd = fEnd;
if (fStart < fEnd ? ++newEnd < fSpans->count() : --newEnd >= 0) {
fEnd = newEnd;
setSpans();
return true;
}
return false;
}
bool reverseLengthen() {
if (fReversed) {
return false;
}
int newEnd = fStart;
if (fStart > fEnd ? ++newEnd < fSpans->count() : --newEnd >= 0) {
fEnd = newEnd;
fReversed = true;
setSpans();
return true;
}
return false;
}
void set(const SkPoint* orig, SkPath::Verb verb, const Segment* segment,
int start, int end, const SkTDArray<Span>& spans) {
fSegment = segment;
fStart = start;
fEnd = end;
fPts = orig;
fVerb = verb;
fSpans = &spans;
fReversed = false;
fUnsortable = false;
setSpans();
}
void setSpans() {
double startT = (*fSpans)[fStart].fT;
double endT = (*fSpans)[fEnd].fT;
switch (fVerb) {
case SkPath::kLine_Verb:
_Line l;
LineSubDivideHD(fPts, startT, endT, l);
// OPTIMIZATION: for pure line compares, we never need fTangent1.c
fTangent1.lineEndPoints(l);
fSide = 0;
break;
case SkPath::kQuad_Verb:
QuadSubDivideHD(fPts, startT, endT, fQ);
fTangent1.quadEndPoints(fQ, 0, 1);
#if 1 // FIXME: try enabling this and see if a) it's called and b) does it break anything
if (dx() == 0 && dy() == 0) {
SkDebugf("*** %s quad is line\n");
fTangent1.quadEndPoints(fQ);
}
#endif
fSide = -fTangent1.pointDistance(fQ[2]); // not normalized -- compare sign only
break;
case SkPath::kCubic_Verb:
Cubic c;
CubicSubDivideHD(fPts, startT, endT, c);
fTangent1.cubicEndPoints(c, 0, 1);
if (dx() == 0 && dy() == 0) {
fTangent1.cubicEndPoints(c, 0, 2);
#if 1 // FIXME: try enabling this and see if a) it's called and b) does it break anything
if (dx() == 0 && dy() == 0) {
SkDebugf("*** %s cubic is line\n");
fTangent1.cubicEndPoints(c, 0, 3);
}
#endif
}
fSide = -fTangent1.pointDistance(c[2]); // not normalized -- compare sign only
break;
default:
SkASSERT(0);
}
fUnsortable = dx() == 0 && dy() == 0;
if (fUnsortable) {
return;
}
SkASSERT(fStart != fEnd);
int step = fStart < fEnd ? 1 : -1; // OPTIMIZE: worth fStart - fEnd >> 31 type macro?
for (int index = fStart; index != fEnd; index += step) {
#if 1
const Span& thisSpan = (*fSpans)[index];
const Span& nextSpan = (*fSpans)[index + step];
if (thisSpan.fTiny || thisSpan.fT == nextSpan.fT) {
continue;
}
fUnsortable = step > 0 ? thisSpan.fUnsortableStart : nextSpan.fUnsortableEnd;
#if DEBUG_UNSORTABLE
if (fUnsortable) {
SkPoint iPt, ePt;
(*SegmentXYAtT[fVerb])(fPts, thisSpan.fT, &iPt);
(*SegmentXYAtT[fVerb])(fPts, nextSpan.fT, &ePt);
SkDebugf("%s unsortable [%d] (%1.9g,%1.9g) [%d] (%1.9g,%1.9g)\n", __FUNCTION__,
index, iPt.fX, iPt.fY, fEnd, ePt.fX, ePt.fY);
}
#endif
return;
#else
if ((*fSpans)[index].fUnsortableStart) {
fUnsortable = true;
return;
}
#endif
}
#if 1
#if DEBUG_UNSORTABLE
SkPoint iPt, ePt;
(*SegmentXYAtT[fVerb])(fPts, startT, &iPt);
(*SegmentXYAtT[fVerb])(fPts, endT, &ePt);
SkDebugf("%s all tiny unsortable [%d] (%1.9g,%1.9g) [%d] (%1.9g,%1.9g)\n", __FUNCTION__,
fStart, iPt.fX, iPt.fY, fEnd, ePt.fX, ePt.fY);
#endif
fUnsortable = true;
#endif
}
Segment* segment() const {
return const_cast<Segment*>(fSegment);
}
int sign() const {
return SkSign32(fStart - fEnd);
}
const SkTDArray<Span>* spans() const {
return fSpans;
}
int start() const {
return fStart;
}
bool unsortable() const {
return fUnsortable;
}
#if DEBUG_ANGLE
const SkPoint* pts() const {
return fPts;
}
SkPath::Verb verb() const {
return fVerb;
}
void debugShow(const SkPoint& a) const {
SkDebugf(" d=(%1.9g,%1.9g) side=%1.9g\n", dx(), dy(), fSide);
}
#endif
private:
const SkPoint* fPts;
Quadratic fQ;
SkPath::Verb fVerb;
double fSide;
LineParameters fTangent1;
const SkTDArray<Span>* fSpans;
const Segment* fSegment;
int fStart;
int fEnd;
bool fReversed;
mutable bool fUnsortable; // this alone is editable by the less than operator
};
// Bounds, unlike Rect, does not consider a line to be empty.
struct Bounds : public SkRect {
static bool Intersects(const Bounds& a, const Bounds& b) {
return a.fLeft <= b.fRight && b.fLeft <= a.fRight &&
a.fTop <= b.fBottom && b.fTop <= a.fBottom;
}
void add(SkScalar left, SkScalar top, SkScalar right, SkScalar bottom) {
if (left < fLeft) {
fLeft = left;
}
if (top < fTop) {
fTop = top;
}
if (right > fRight) {
fRight = right;
}
if (bottom > fBottom) {
fBottom = bottom;
}
}
void add(const Bounds& toAdd) {
add(toAdd.fLeft, toAdd.fTop, toAdd.fRight, toAdd.fBottom);
}
void add(const SkPoint& pt) {
if (pt.fX < fLeft) fLeft = pt.fX;
if (pt.fY < fTop) fTop = pt.fY;
if (pt.fX > fRight) fRight = pt.fX;
if (pt.fY > fBottom) fBottom = pt.fY;
}
bool isEmpty() {
return fLeft > fRight || fTop > fBottom
|| (fLeft == fRight && fTop == fBottom)
|| isnan(fLeft) || isnan(fRight)
|| isnan(fTop) || isnan(fBottom);
}
void setCubicBounds(const SkPoint a[4]) {
_Rect dRect;
MAKE_CONST_CUBIC(cubic, a);
dRect.setBounds(cubic);
set((float) dRect.left, (float) dRect.top, (float) dRect.right,
(float) dRect.bottom);
}
void setQuadBounds(const SkPoint a[3]) {
MAKE_CONST_QUAD(quad, a);
_Rect dRect;
dRect.setBounds(quad);
set((float) dRect.left, (float) dRect.top, (float) dRect.right,
(float) dRect.bottom);
}
void setPoint(const SkPoint& pt) {
fLeft = fRight = pt.fX;
fTop = fBottom = pt.fY;
}
};
// OPTIMIZATION: does the following also work, and is it any faster?
// return outerWinding * innerWinding > 0
// || ((outerWinding + innerWinding < 0) ^ ((outerWinding - innerWinding) < 0)))
static bool useInnerWinding(int outerWinding, int innerWinding) {
// SkASSERT(outerWinding != innerWinding);
int absOut = abs(outerWinding);
int absIn = abs(innerWinding);
bool result = absOut == absIn ? outerWinding < 0 : absOut < absIn;
if (outerWinding * innerWinding < 0) {
#if DEBUG_WINDING
SkDebugf("%s outer=%d inner=%d result=%s\n", __FUNCTION__,
outerWinding, innerWinding, result ? "true" : "false");
#endif
}
return result;
}
#define F (false) // discard the edge
#define T (true) // keep the edge
static const bool gUnaryActiveEdge[2][2] = {
// from=0 from=1
// to=0,1 to=0,1
{F, T}, {T, F},
};
static const bool gActiveEdge[kShapeOp_Count][2][2][2][2] = {
// miFrom=0 miFrom=1
// miTo=0 miTo=1 miTo=0 miTo=1
// suFrom=0 1 suFrom=0 1 suFrom=0 1 suFrom=0 1
// suTo=0,1 suTo=0,1 suTo=0,1 suTo=0,1 suTo=0,1 suTo=0,1 suTo=0,1 suTo=0,1
{{{{F, F}, {F, F}}, {{T, F}, {T, F}}}, {{{T, T}, {F, F}}, {{F, T}, {T, F}}}}, // mi - su
{{{{F, F}, {F, F}}, {{F, T}, {F, T}}}, {{{F, F}, {T, T}}, {{F, T}, {T, F}}}}, // mi & su
{{{{F, T}, {T, F}}, {{T, T}, {F, F}}}, {{{T, F}, {T, F}}, {{F, F}, {F, F}}}}, // mi | su
{{{{F, T}, {T, F}}, {{T, F}, {F, T}}}, {{{T, F}, {F, T}}, {{F, T}, {T, F}}}}, // mi ^ su
};
#undef F
#undef T
// wrap path to keep track of whether the contour is initialized and non-empty
class PathWrapper {
public:
PathWrapper(SkPath& path)
: fPathPtr(&path)
, fCloses(0)
, fMoves(0)
{
init();
}
void close() {
if (!fHasMove) {
return;
}
bool callClose = isClosed();
lineTo();
if (fEmpty) {
return;
}
if (callClose) {
#if DEBUG_PATH_CONSTRUCTION
SkDebugf("path.close();\n");
#endif
fPathPtr->close();
fCloses++;
}
init();
}
void cubicTo(const SkPoint& pt1, const SkPoint& pt2, const SkPoint& pt3) {
lineTo();
moveTo();
fDefer[1] = pt3;
nudge();
fDefer[0] = fDefer[1];
#if DEBUG_PATH_CONSTRUCTION
SkDebugf("path.cubicTo(%1.9g,%1.9g, %1.9g,%1.9g, %1.9g,%1.9g);\n",
pt1.fX, pt1.fY, pt2.fX, pt2.fY, fDefer[1].fX, fDefer[1].fY);
#endif
fPathPtr->cubicTo(pt1.fX, pt1.fY, pt2.fX, pt2.fY, fDefer[1].fX, fDefer[1].fY);
fEmpty = false;
}
void deferredLine(const SkPoint& pt) {
if (pt == fDefer[1]) {
return;
}
if (changedSlopes(pt)) {
lineTo();
fDefer[0] = fDefer[1];
}
fDefer[1] = pt;
}
void deferredMove(const SkPoint& pt) {
fMoved = true;
fHasMove = true;
fEmpty = true;
fDefer[0] = fDefer[1] = pt;
}
void deferredMoveLine(const SkPoint& pt) {
if (!fHasMove) {
deferredMove(pt);
}
deferredLine(pt);
}
bool hasMove() const {
return fHasMove;
}
void init() {
fEmpty = true;
fHasMove = false;
fMoved = false;
}
bool isClosed() const {
return !fEmpty && fFirstPt == fDefer[1];
}
void lineTo() {
if (fDefer[0] == fDefer[1]) {
return;
}
moveTo();
nudge();
fEmpty = false;
#if DEBUG_PATH_CONSTRUCTION
SkDebugf("path.lineTo(%1.9g,%1.9g);\n", fDefer[1].fX, fDefer[1].fY);
#endif
fPathPtr->lineTo(fDefer[1].fX, fDefer[1].fY);
fDefer[0] = fDefer[1];
}
const SkPath* nativePath() const {
return fPathPtr;
}
void nudge() {
if (fEmpty || !AlmostEqualUlps(fDefer[1].fX, fFirstPt.fX)
|| !AlmostEqualUlps(fDefer[1].fY, fFirstPt.fY)) {
return;
}
fDefer[1] = fFirstPt;
}
void quadTo(const SkPoint& pt1, const SkPoint& pt2) {
lineTo();
moveTo();
fDefer[1] = pt2;
nudge();
fDefer[0] = fDefer[1];
#if DEBUG_PATH_CONSTRUCTION
SkDebugf("path.quadTo(%1.9g,%1.9g, %1.9g,%1.9g);\n",
pt1.fX, pt1.fY, fDefer[1].fX, fDefer[1].fY);
#endif
fPathPtr->quadTo(pt1.fX, pt1.fY, fDefer[1].fX, fDefer[1].fY);
fEmpty = false;
}
bool someAssemblyRequired() const {
return fCloses < fMoves;
}
protected:
bool changedSlopes(const SkPoint& pt) const {
if (fDefer[0] == fDefer[1]) {
return false;
}
SkScalar deferDx = fDefer[1].fX - fDefer[0].fX;
SkScalar deferDy = fDefer[1].fY - fDefer[0].fY;
SkScalar lineDx = pt.fX - fDefer[1].fX;
SkScalar lineDy = pt.fY - fDefer[1].fY;
return deferDx * lineDy != deferDy * lineDx;
}
void moveTo() {
if (!fMoved) {
return;
}
fFirstPt = fDefer[0];
#if DEBUG_PATH_CONSTRUCTION
SkDebugf("path.moveTo(%1.9g,%1.9g);\n", fDefer[0].fX, fDefer[0].fY);
#endif
fPathPtr->moveTo(fDefer[0].fX, fDefer[0].fY);
fMoved = false;
fMoves++;
}
private:
SkPath* fPathPtr;
SkPoint fDefer[2];
SkPoint fFirstPt;
int fCloses;
int fMoves;
bool fEmpty;
bool fHasMove;
bool fMoved;
};
class Segment {
public:
Segment() {
#if DEBUG_DUMP
fID = ++gSegmentID;
#endif
}
bool operator<(const Segment& rh) const {
return fBounds.fTop < rh.fBounds.fTop;
}
bool activeAngle(int index, int& done, SkTDArray<Angle>& angles) {
if (activeAngleInner(index, done, angles)) {
return true;
}
int lesser = index;
while (--lesser >= 0 && equalPoints(index, lesser)) {
if (activeAngleOther(lesser, done, angles)) {
return true;
}
}
lesser = index;
do {
if (activeAngleOther(index, done, angles)) {
return true;
}
} while (++index < fTs.count() && equalPoints(index, lesser));
return false;
}
bool activeAngleOther(int index, int& done, SkTDArray<Angle>& angles) {
Span* span = &fTs[index];
Segment* other = span->fOther;
int oIndex = span->fOtherIndex;
return other->activeAngleInner(oIndex, done, angles);
}
bool activeAngleInner(int index, int& done, SkTDArray<Angle>& angles) {
int next = nextExactSpan(index, 1);
if (next > 0) {
Span& upSpan = fTs[index];
if (upSpan.fWindValue || upSpan.fOppValue) {
addAngle(angles, index, next);
if (upSpan.fDone || upSpan.fUnsortableEnd) {
done++;
} else if (upSpan.fWindSum != SK_MinS32) {
return true;
}
} else if (!upSpan.fDone) {
upSpan.fDone = true;
fDoneSpans++;
}
}
int prev = nextExactSpan(index, -1);
// edge leading into junction
if (prev >= 0) {
Span& downSpan = fTs[prev];
if (downSpan.fWindValue || downSpan.fOppValue) {
addAngle(angles, index, prev);
if (downSpan.fDone) {
done++;
} else if (downSpan.fWindSum != SK_MinS32) {
return true;
}
} else if (!downSpan.fDone) {
downSpan.fDone = true;
fDoneSpans++;
}
}
return false;
}
void activeLeftTop(SkPoint& result) const {
SkASSERT(!done());
int count = fTs.count();
result.fX = result.fY = SK_ScalarMax;
bool lastDone = true;
bool lastUnsortable = false;
for (int index = 0; index < count; ++index) {
const Span& span = fTs[index];
if (span.fUnsortableStart | lastUnsortable) {
goto next;
}
if (!span.fDone | !lastDone) {
const SkPoint& xy = xyAtT(index);
if (result.fY < xy.fY) {
goto next;
}
if (result.fY == xy.fY && result.fX < xy.fX) {
goto next;
}
result = xy;
}
next:
lastDone = span.fDone;
lastUnsortable = span.fUnsortableEnd;
}
}
bool activeOp(int index, int endIndex, int xorMiMask, int xorSuMask, ShapeOp op) {
int sumMiWinding = updateWinding(endIndex, index);
int sumSuWinding = updateOppWinding(endIndex, index);
if (fOperand) {
SkTSwap<int>(sumMiWinding, sumSuWinding);
}
int maxWinding, sumWinding, oppMaxWinding, oppSumWinding;
return activeOp(xorMiMask, xorSuMask, index, endIndex, op, sumMiWinding, sumSuWinding,
maxWinding, sumWinding, oppMaxWinding, oppSumWinding);
}
bool activeOp(int xorMiMask, int xorSuMask, int index, int endIndex, ShapeOp op,
int& sumMiWinding, int& sumSuWinding,
int& maxWinding, int& sumWinding, int& oppMaxWinding, int& oppSumWinding) {
setUpWindings(index, endIndex, sumMiWinding, sumSuWinding,
maxWinding, sumWinding, oppMaxWinding, oppSumWinding);
bool miFrom;
bool miTo;
bool suFrom;
bool suTo;
if (operand()) {
miFrom = (oppMaxWinding & xorMiMask) != 0;
miTo = (oppSumWinding & xorMiMask) != 0;
suFrom = (maxWinding & xorSuMask) != 0;
suTo = (sumWinding & xorSuMask) != 0;
} else {
miFrom = (maxWinding & xorMiMask) != 0;
miTo = (sumWinding & xorMiMask) != 0;
suFrom = (oppMaxWinding & xorSuMask) != 0;
suTo = (oppSumWinding & xorSuMask) != 0;
}
bool result = gActiveEdge[op][miFrom][miTo][suFrom][suTo];
SkASSERT(result != -1);
return result;
}
bool activeWinding(int index, int endIndex) {
int sumWinding = updateWinding(endIndex, index);
int maxWinding;
return activeWinding(index, endIndex, maxWinding, sumWinding);
}
bool activeWinding(int index, int endIndex, int& maxWinding, int& sumWinding) {
setUpWinding(index, endIndex, maxWinding, sumWinding);
bool from = maxWinding != 0;
bool to = sumWinding != 0;
bool result = gUnaryActiveEdge[from][to];
SkASSERT(result != -1);
return result;
}
void addAngle(SkTDArray<Angle>& angles, int start, int end) const {
SkASSERT(start != end);
Angle* angle = angles.append();
#if DEBUG_ANGLE
if (angles.count() > 1 && !fTs[start].fTiny) {
SkPoint angle0Pt, newPt;
(*SegmentXYAtT[angles[0].verb()])(angles[0].pts(),
(*angles[0].spans())[angles[0].start()].fT, &angle0Pt);
(*SegmentXYAtT[fVerb])(fPts, fTs[start].fT, &newPt);
SkASSERT(AlmostEqualUlps(angle0Pt.fX, newPt.fX));
SkASSERT(AlmostEqualUlps(angle0Pt.fY, newPt.fY));
}
#endif
angle->set(fPts, fVerb, this, start, end, fTs);
}
void addCancelOutsides(double tStart, double oStart, Segment& other,
double oEnd) {
int tIndex = -1;
int tCount = fTs.count();
int oIndex = -1;
int oCount = other.fTs.count();
do {
++tIndex;
} while (!approximately_negative(tStart - fTs[tIndex].fT) && tIndex < tCount);
int tIndexStart = tIndex;
do {
++oIndex;
} while (!approximately_negative(oStart - other.fTs[oIndex].fT) && oIndex < oCount);
int oIndexStart = oIndex;
double nextT;
do {
nextT = fTs[++tIndex].fT;
} while (nextT < 1 && approximately_negative(nextT - tStart));
double oNextT;
do {
oNextT = other.fTs[++oIndex].fT;
} while (oNextT < 1 && approximately_negative(oNextT - oStart));
// at this point, spans before and after are at:
// fTs[tIndexStart - 1], fTs[tIndexStart], fTs[tIndex]
// if tIndexStart == 0, no prior span
// if nextT == 1, no following span
// advance the span with zero winding
// if the following span exists (not past the end, non-zero winding)
// connect the two edges
if (!fTs[tIndexStart].fWindValue) {
if (tIndexStart > 0 && fTs[tIndexStart - 1].fWindValue) {
#if DEBUG_CONCIDENT
SkDebugf("%s 1 this=%d other=%d t [%d] %1.9g (%1.9g,%1.9g)\n",
__FUNCTION__, fID, other.fID, tIndexStart - 1,
fTs[tIndexStart].fT, xyAtT(tIndexStart).fX,
xyAtT(tIndexStart).fY);
#endif
addTPair(fTs[tIndexStart].fT, other, other.fTs[oIndex].fT, false);
}
if (nextT < 1 && fTs[tIndex].fWindValue) {
#if DEBUG_CONCIDENT
SkDebugf("%s 2 this=%d other=%d t [%d] %1.9g (%1.9g,%1.9g)\n",
__FUNCTION__, fID, other.fID, tIndex,
fTs[tIndex].fT, xyAtT(tIndex).fX,
xyAtT(tIndex).fY);
#endif
addTPair(fTs[tIndex].fT, other, other.fTs[oIndexStart].fT, false);
}
} else {
SkASSERT(!other.fTs[oIndexStart].fWindValue);
if (oIndexStart > 0 && other.fTs[oIndexStart - 1].fWindValue) {
#if DEBUG_CONCIDENT
SkDebugf("%s 3 this=%d other=%d t [%d] %1.9g (%1.9g,%1.9g)\n",
__FUNCTION__, fID, other.fID, oIndexStart - 1,
other.fTs[oIndexStart].fT, other.xyAtT(oIndexStart).fX,
other.xyAtT(oIndexStart).fY);
other.debugAddTPair(other.fTs[oIndexStart].fT, *this, fTs[tIndex].fT);
#endif
}
if (oNextT < 1 && other.fTs[oIndex].fWindValue) {
#if DEBUG_CONCIDENT
SkDebugf("%s 4 this=%d other=%d t [%d] %1.9g (%1.9g,%1.9g)\n",
__FUNCTION__, fID, other.fID, oIndex,
other.fTs[oIndex].fT, other.xyAtT(oIndex).fX,
other.xyAtT(oIndex).fY);
other.debugAddTPair(other.fTs[oIndex].fT, *this, fTs[tIndexStart].fT);
#endif
}
}
}
void addCoinOutsides(const SkTDArray<double>& outsideTs, Segment& other,
double oEnd) {
// walk this to outsideTs[0]
// walk other to outsideTs[1]
// if either is > 0, add a pointer to the other, copying adjacent winding
int tIndex = -1;
int oIndex = -1;
double tStart = outsideTs[0];
double oStart = outsideTs[1];
do {
++tIndex;
} while (!approximately_negative(tStart - fTs[tIndex].fT));
do {
++oIndex;
} while (!approximately_negative(oStart - other.fTs[oIndex].fT));
if (tIndex > 0 || oIndex > 0 || fOperand != other.fOperand) {
addTPair(tStart, other, oStart, false);
}
tStart = fTs[tIndex].fT;
oStart = other.fTs[oIndex].fT;
do {
double nextT;
do {
nextT = fTs[++tIndex].fT;
} while (approximately_negative(nextT - tStart));
tStart = nextT;
do {
nextT = other.fTs[++oIndex].fT;
} while (approximately_negative(nextT - oStart));
oStart = nextT;
if (tStart == 1 && oStart == 1 && fOperand == other.fOperand) {
break;
}
addTPair(tStart, other, oStart, false);
} while (tStart < 1 && oStart < 1 && !approximately_negative(oEnd - oStart));
}
void addCubic(const SkPoint pts[4], bool operand, bool evenOdd) {
init(pts, SkPath::kCubic_Verb, operand, evenOdd);
fBounds.setCubicBounds(pts);
}
/* SkPoint */ void addCurveTo(int start, int end, PathWrapper& path, bool active) const {
SkPoint edge[4];
const SkPoint* ePtr;
int lastT = fTs.count() - 1;
if (lastT < 0 || (start == 0 && end == lastT) || (start == lastT && end == 0)) {
ePtr = fPts;
} else {
// OPTIMIZE? if not active, skip remainder and return xy_at_t(end)
(*SegmentSubDivide[fVerb])(fPts, fTs[start].fT, fTs[end].fT, edge);
ePtr = edge;
}
if (active) {
bool reverse = ePtr == fPts && start != 0;
if (reverse) {
path.deferredMoveLine(ePtr[fVerb]);
switch (fVerb) {
case SkPath::kLine_Verb:
path.deferredLine(ePtr[0]);
break;
case SkPath::kQuad_Verb:
path.quadTo(ePtr[1], ePtr[0]);
break;
case SkPath::kCubic_Verb:
path.cubicTo(ePtr[2], ePtr[1], ePtr[0]);
break;
default:
SkASSERT(0);
}
// return ePtr[0];
} else {
path.deferredMoveLine(ePtr[0]);
switch (fVerb) {
case SkPath::kLine_Verb:
path.deferredLine(ePtr[1]);
break;
case SkPath::kQuad_Verb:
path.quadTo(ePtr[1], ePtr[2]);
break;
case SkPath::kCubic_Verb:
path.cubicTo(ePtr[1], ePtr[2], ePtr[3]);
break;
default:
SkASSERT(0);
}
}
}
// return ePtr[fVerb];
}
void addLine(const SkPoint pts[2], bool operand, bool evenOdd) {
init(pts, SkPath::kLine_Verb, operand, evenOdd);
fBounds.set(pts, 2);
}
#if 0
const SkPoint& addMoveTo(int tIndex, PathWrapper& path, bool active) const {
const SkPoint& pt = xyAtT(tIndex);
if (active) {
path.deferredMove(pt);
}
return pt;
}
#endif
// add 2 to edge or out of range values to get T extremes
void addOtherT(int index, double otherT, int otherIndex) {
Span& span = fTs[index];
#if PIN_ADD_T
if (precisely_less_than_zero(otherT)) {
otherT = 0;
} else if (precisely_greater_than_one(otherT)) {
otherT = 1;
}
#endif
span.fOtherT = otherT;
span.fOtherIndex = otherIndex;
}
void addQuad(const SkPoint pts[3], bool operand, bool evenOdd) {
init(pts, SkPath::kQuad_Verb, operand, evenOdd);
fBounds.setQuadBounds(pts);
}
// Defer all coincident edge processing until
// after normal intersections have been computed
// no need to be tricky; insert in normal T order
// resolve overlapping ts when considering coincidence later
// add non-coincident intersection. Resulting edges are sorted in T.
int addT(double newT, Segment* other) {
// FIXME: in the pathological case where there is a ton of intercepts,
// binary search?
int insertedAt = -1;
size_t tCount = fTs.count();
#if PIN_ADD_T
// FIXME: only do this pinning here (e.g. this is done also in quad/line intersect)
if (precisely_less_than_zero(newT)) {
newT = 0;
} else if (precisely_greater_than_one(newT)) {
newT = 1;
}
#endif
for (size_t index = 0; index < tCount; ++index) {
// OPTIMIZATION: if there are three or more identical Ts, then
// the fourth and following could be further insertion-sorted so
// that all the edges are clockwise or counterclockwise.
// This could later limit segment tests to the two adjacent
// neighbors, although it doesn't help with determining which
// circular direction to go in.
if (newT < fTs[index].fT) {
insertedAt = index;
break;
}
}
Span* span;
if (insertedAt >= 0) {
span = fTs.insert(insertedAt);
} else {
insertedAt = tCount;
span = fTs.append();
}
span->fT = newT;
span->fOther = other;
span->fPt.fX = SK_ScalarNaN;
span->fWindSum = SK_MinS32;
span->fOppSum = SK_MinS32;
span->fWindValue = 1;
span->fOppValue = 0;
span->fTiny = false;
if ((span->fDone = newT == 1)) {
++fDoneSpans;
}
span->fUnsortableStart = false;
span->fUnsortableEnd = false;
int less = -1;
while (&span[less + 1] - fTs.begin() > 0 && !span[less].fDone
&& !precisely_negative(newT - span[less].fT)
// && approximately_negative(newT - span[less].fT)
&& xyAtT(&span[less]) == xyAtT(span)) {
span[less].fTiny = true;
span[less].fDone = true;
if (approximately_negative(newT - span[less].fT)) {
if (approximately_greater_than_one(newT)) {
span[less].fUnsortableStart = true;
span[less - 1].fUnsortableEnd = true;
}
if (approximately_less_than_zero(span[less].fT)) {
span[less + 1].fUnsortableStart = true;
span[less].fUnsortableEnd = true;
}
}
++fDoneSpans;
--less;
}
int more = 1;
while (fTs.end() - &span[more - 1] > 1 && !span[more - 1].fDone
&& !precisely_negative(span[more].fT - newT)
// && approximately_negative(span[more].fT - newT)
&& xyAtT(&span[more]) == xyAtT(span)) {
span[more - 1].fTiny = true;
span[more - 1].fDone = true;
if (approximately_negative(span[more].fT - newT)) {
if (approximately_greater_than_one(span[more].fT)) {
span[more + 1].fUnsortableStart = true;
span[more].fUnsortableEnd = true;
}
if (approximately_less_than_zero(newT)) {
span[more].fUnsortableStart = true;
span[more - 1].fUnsortableEnd = true;
}
}
++fDoneSpans;
++more;
}
return insertedAt;
}
// set spans from start to end to decrement by one
// note this walks other backwards
// FIMXE: there's probably an edge case that can be constructed where
// two span in one segment are separated by float epsilon on one span but
// not the other, if one segment is very small. For this
// case the counts asserted below may or may not be enough to separate the
// spans. Even if the counts work out, what if the spans aren't correctly
// sorted? It feels better in such a case to match the span's other span
// pointer since both coincident segments must contain the same spans.
void addTCancel(double startT, double endT, Segment& other,
double oStartT, double oEndT) {
SkASSERT(!approximately_negative(endT - startT));
SkASSERT(!approximately_negative(oEndT - oStartT));
bool binary = fOperand != other.fOperand;
int index = 0;
while (!approximately_negative(startT - fTs[index].fT)) {
++index;
}
int oIndex = other.fTs.count();
while (approximately_positive(other.fTs[--oIndex].fT - oEndT))
;
double tRatio = (oEndT - oStartT) / (endT - startT);
Span* test = &fTs[index];
Span* oTest = &other.fTs[oIndex];
SkTDArray<double> outsideTs;
SkTDArray<double> oOutsideTs;
do {
bool decrement = test->fWindValue && oTest->fWindValue && !binary;
bool track = test->fWindValue || oTest->fWindValue;
double testT = test->fT;
double oTestT = oTest->fT;
Span* span = test;
do {
if (decrement) {
decrementSpan(span);
} else if (track && span->fT < 1 && oTestT < 1) {
TrackOutside(outsideTs, span->fT, oTestT);
}
span = &fTs[++index];
} while (approximately_negative(span->fT - testT));
Span* oSpan = oTest;
double otherTMatchStart = oEndT - (span->fT - startT) * tRatio;
double otherTMatchEnd = oEndT - (test->fT - startT) * tRatio;
SkDEBUGCODE(int originalWindValue = oSpan->fWindValue);
while (approximately_negative(otherTMatchStart - oSpan->fT)
&& !approximately_negative(otherTMatchEnd - oSpan->fT)) {
#ifdef SK_DEBUG
SkASSERT(originalWindValue == oSpan->fWindValue);
#endif
if (decrement) {
other.decrementSpan(oSpan);
} else if (track && oSpan->fT < 1 && testT < 1) {
TrackOutside(oOutsideTs, oSpan->fT, testT);
}
if (!oIndex) {
break;
}
oSpan = &other.fTs[--oIndex];
}
test = span;
oTest = oSpan;
} while (!approximately_negative(endT - test->fT));
SkASSERT(!oIndex || approximately_negative(oTest->fT - oStartT));
// FIXME: determine if canceled edges need outside ts added
if (!done() && outsideTs.count()) {
double tStart = outsideTs[0];
double oStart = outsideTs[1];
addCancelOutsides(tStart, oStart, other, oEndT);
int count = outsideTs.count();
if (count > 2) {
double tStart = outsideTs[count - 2];
double oStart = outsideTs[count - 1];
addCancelOutsides(tStart, oStart, other, oEndT);
}
}
if (!other.done() && oOutsideTs.count()) {
double tStart = oOutsideTs[0];
double oStart = oOutsideTs[1];
other.addCancelOutsides(tStart, oStart, *this, endT);
}
}
int addUnsortableT(double newT, Segment* other, bool start) {
int result = addT(newT, other);
Span* span = &fTs[result];
if (start) {
if (result > 0) {
span[result - 1].fUnsortableEnd = true;
}
span[result].fUnsortableStart = true;
} else {
span[result].fUnsortableEnd = true;
if (result + 1 < fTs.count()) {
span[result + 1].fUnsortableStart = true;
}
}
return result;
}
int bumpCoincidentThis(const Span* oTest, bool opp, int index,
SkTDArray<double>& outsideTs) {
int oWindValue = oTest->fWindValue;
int oOppValue = oTest->fOppValue;
if (opp) {
SkTSwap<int>(oWindValue, oOppValue);
}
Span* const test = &fTs[index];
Span* end = test;
const double oStartT = oTest->fT;
do {
if (bumpSpan(end, oWindValue, oOppValue)) {
TrackOutside(outsideTs, end->fT, oStartT);
}
end = &fTs[++index];
} while (approximately_negative(end->fT - test->fT));
return index;
}
// because of the order in which coincidences are resolved, this and other
// may not have the same intermediate points. Compute the corresponding
// intermediate T values (using this as the master, other as the follower)
// and walk other conditionally -- hoping that it catches up in the end
int bumpCoincidentOther(const Span* test, double oEndT, int& oIndex,
SkTDArray<double>& oOutsideTs) {
Span* const oTest = &fTs[oIndex];
Span* oEnd = oTest;
const double startT = test->fT;
const double oStartT = oTest->fT;
while (!approximately_negative(oEndT - oEnd->fT)
&& approximately_negative(oEnd->fT - oStartT)) {
zeroSpan(oEnd);
TrackOutside(oOutsideTs, oEnd->fT, startT);
oEnd = &fTs[++oIndex];
}
return oIndex;
}
// FIXME: need to test this case:
// contourA has two segments that are coincident
// contourB has two segments that are coincident in the same place
// each ends up with +2/0 pairs for winding count
// since logic below doesn't transfer count (only increments/decrements) can this be
// resolved to +4/0 ?
// set spans from start to end to increment the greater by one and decrement
// the lesser
void addTCoincident(double startT, double endT, Segment& other, double oStartT, double oEndT) {
SkASSERT(!approximately_negative(endT - startT));
SkASSERT(!approximately_negative(oEndT - oStartT));
bool opp = fOperand ^ other.fOperand;
int index = 0;
while (!approximately_negative(startT - fTs[index].fT)) {
++index;
}
int oIndex = 0;
while (!approximately_negative(oStartT - other.fTs[oIndex].fT)) {
++oIndex;
}
Span* test = &fTs[index];
Span* oTest = &other.fTs[oIndex];
SkTDArray<double> outsideTs;
SkTDArray<double> oOutsideTs;
do {
// if either span has an opposite value and the operands don't match, resolve first
// SkASSERT(!test->fDone || !oTest->fDone);
if (test->fDone || oTest->fDone) {
index = advanceCoincidentThis(oTest, opp, index);
oIndex = other.advanceCoincidentOther(test, oEndT, oIndex);
} else {
index = bumpCoincidentThis(oTest, opp, index, outsideTs);
oIndex = other.bumpCoincidentOther(test, oEndT, oIndex, oOutsideTs);
}
test = &fTs[index];
oTest = &other.fTs[oIndex];
} while (!approximately_negative(endT - test->fT));
SkASSERT(approximately_negative(oTest->fT - oEndT));
SkASSERT(approximately_negative(oEndT - oTest->fT));
if (!done() && outsideTs.count()) {
addCoinOutsides(outsideTs, other, oEndT);
}
if (!other.done() && oOutsideTs.count()) {
other.addCoinOutsides(oOutsideTs, *this, endT);
}
}
// FIXME: this doesn't prevent the same span from being added twice
// fix in caller, SkASSERT here?
void addTPair(double t, Segment& other, double otherT, bool borrowWind) {
int tCount = fTs.count();
for (int tIndex = 0; tIndex < tCount; ++tIndex) {
const Span& span = fTs[tIndex];
if (!approximately_negative(span.fT - t)) {
break;
}
if (approximately_negative(span.fT - t) && span.fOther == &other
&& approximately_equal(span.fOtherT, otherT)) {
#if DEBUG_ADD_T_PAIR
SkDebugf("%s addTPair duplicate this=%d %1.9g other=%d %1.9g\n",
__FUNCTION__, fID, t, other.fID, otherT);
#endif
return;
}
}
#if DEBUG_ADD_T_PAIR
SkDebugf("%s addTPair this=%d %1.9g other=%d %1.9g\n",
__FUNCTION__, fID, t, other.fID, otherT);
#endif
int insertedAt = addT(t, &other);
int otherInsertedAt = other.addT(otherT, this);
addOtherT(insertedAt, otherT, otherInsertedAt);
other.addOtherT(otherInsertedAt, t, insertedAt);
matchWindingValue(insertedAt, t, borrowWind);
other.matchWindingValue(otherInsertedAt, otherT, borrowWind);
}
void addTwoAngles(int start, int end, SkTDArray<Angle>& angles) const {
// add edge leading into junction
int min = SkMin32(end, start);
if (fTs[min].fWindValue > 0 || fTs[min].fOppValue > 0) {
addAngle(angles, end, start);
}
// add edge leading away from junction
int step = SkSign32(end - start);
int tIndex = nextExactSpan(end, step);
min = SkMin32(end, tIndex);
if (tIndex >= 0 && (fTs[min].fWindValue > 0 || fTs[min].fOppValue > 0)) {
addAngle(angles, end, tIndex);
}
}
int advanceCoincidentThis(const Span* oTest, bool opp, int index) {
Span* const test = &fTs[index];
Span* end = test;
do {
end = &fTs[++index];
} while (approximately_negative(end->fT - test->fT));
return index;
}
int advanceCoincidentOther(const Span* test, double oEndT, int& oIndex) {
Span* const oTest = &fTs[oIndex];
Span* oEnd = oTest;
const double oStartT = oTest->fT;
while (!approximately_negative(oEndT - oEnd->fT)
&& approximately_negative(oEnd->fT - oStartT)) {
oEnd = &fTs[++oIndex];
}
return oIndex;
}
bool betweenTs(int lesser, double testT, int greater) {
if (lesser > greater) {
SkTSwap<int>(lesser, greater);
}
return approximately_between(fTs[lesser].fT, testT, fTs[greater].fT);
}
const Bounds& bounds() const {
return fBounds;
}
void buildAngles(int index, SkTDArray<Angle>& angles, bool includeOpp) const {
double referenceT = fTs[index].fT;
int lesser = index;
while (--lesser >= 0 && (includeOpp || fTs[lesser].fOther->fOperand == fOperand)
&& precisely_negative(referenceT - fTs[lesser].fT)) {
buildAnglesInner(lesser, angles);
}
do {
buildAnglesInner(index, angles);
} while (++index < fTs.count() && (includeOpp || fTs[index].fOther->fOperand == fOperand)
&& precisely_negative(fTs[index].fT - referenceT));
}
void buildAnglesInner(int index, SkTDArray<Angle>& angles) const {
Span* span = &fTs[index];
Segment* other = span->fOther;
// if there is only one live crossing, and no coincidence, continue
// in the same direction
// if there is coincidence, the only choice may be to reverse direction
// find edge on either side of intersection
int oIndex = span->fOtherIndex;
// if done == -1, prior span has already been processed
int step = 1;
int next = other->nextExactSpan(oIndex, step);
if (next < 0) {
step = -step;
next = other->nextExactSpan(oIndex, step);
}
// add candidate into and away from junction
other->addTwoAngles(next, oIndex, angles);
}
int computeSum(int startIndex, int endIndex, bool binary) {
SkTDArray<Angle> angles;
addTwoAngles(startIndex, endIndex, angles);
buildAngles(endIndex, angles, false);
// OPTIMIZATION: check all angles to see if any have computed wind sum
// before sorting (early exit if none)
SkTDArray<Angle*> sorted;
bool sortable = SortAngles(angles, sorted);
#if DEBUG_SORT
sorted[0]->segment()->debugShowSort(__FUNCTION__, sorted, 0, 0, 0);
#endif
if (!sortable) {
return SK_MinS32;
}
int angleCount = angles.count();
const Angle* angle;
const Segment* base;
int winding;
int oWinding;
int firstIndex = 0;
do {
angle = sorted[firstIndex];
base = angle->segment();
winding = base->windSum(angle);
if (winding != SK_MinS32) {
oWinding = base->oppSum(angle);
break;
}
if (++firstIndex == angleCount) {
return SK_MinS32;
}
} while (true);
// turn winding into contourWinding
int spanWinding = base->spanSign(angle);
bool inner = useInnerWinding(winding + spanWinding, winding);
#if DEBUG_WINDING
SkDebugf("%s spanWinding=%d winding=%d sign=%d inner=%d result=%d\n", __FUNCTION__,
spanWinding, winding, angle->sign(), inner,
inner ? winding + spanWinding : winding);
#endif
if (inner) {
winding += spanWinding;
}
#if DEBUG_SORT
base->debugShowSort(__FUNCTION__, sorted, firstIndex, winding, oWinding);
#endif
int nextIndex = firstIndex + 1;
int lastIndex = firstIndex != 0 ? firstIndex : angleCount;
winding -= base->spanSign(angle);
oWinding -= base->oppSign(angle);
do {
if (nextIndex == angleCount) {
nextIndex = 0;
}
angle = sorted[nextIndex];
Segment* segment = angle->segment();
bool opp = base->fOperand ^ segment->fOperand;
int maxWinding, oMaxWinding;
int spanSign = segment->spanSign(angle);
int oppoSign = segment->oppSign(angle);
if (opp) {
oMaxWinding = oWinding;
oWinding -= spanSign;
maxWinding = winding;
if (oppoSign) {
winding -= oppoSign;
}
} else {
maxWinding = winding;
winding -= spanSign;
oMaxWinding = oWinding;
if (oppoSign) {
oWinding -= oppoSign;
}
}
if (segment->windSum(angle) == SK_MinS32) {
if (opp) {
if (useInnerWinding(oMaxWinding, oWinding)) {
oMaxWinding = oWinding;
}
if (oppoSign && useInnerWinding(maxWinding, winding)) {
maxWinding = winding;
}
(void) segment->markAndChaseWinding(angle, oMaxWinding, maxWinding);
} else {
if (useInnerWinding(maxWinding, winding)) {
maxWinding = winding;
}
if (oppoSign && useInnerWinding(oMaxWinding, oWinding)) {
oMaxWinding = oWinding;
}
(void) segment->markAndChaseWinding(angle, maxWinding,
binary ? oMaxWinding : 0);
}
}
} while (++nextIndex != lastIndex);
int minIndex = SkMin32(startIndex, endIndex);
return windSum(minIndex);
}
int crossedSpanY(const SkPoint& basePt, SkScalar& bestY, double& hitT, bool& hitSomething,
double mid, bool opp, bool current) const {
SkScalar bottom = fBounds.fBottom;
int bestTIndex = -1;
if (bottom <= bestY) {
return bestTIndex;
}
SkScalar top = fBounds.fTop;
if (top >= basePt.fY) {
return bestTIndex;
}
if (fBounds.fLeft > basePt.fX) {
return bestTIndex;
}
if (fBounds.fRight < basePt.fX) {
return bestTIndex;
}
if (fBounds.fLeft == fBounds.fRight) {
// if vertical, and directly above test point, wait for another one
return AlmostEqualUlps(basePt.fX, fBounds.fLeft) ? SK_MinS32 : bestTIndex;
}
// intersect ray starting at basePt with edge
Intersections intersections;
// OPTIMIZE: use specialty function that intersects ray with curve,
// returning t values only for curve (we don't care about t on ray)
int pts = (*VSegmentIntersect[fVerb])(fPts, top, bottom, basePt.fX, false, intersections);
if (pts == 0 || (current && pts == 1)) {
return bestTIndex;
}
if (current) {
SkASSERT(pts > 1);
int closestIdx = 0;
double closest = fabs(intersections.fT[0][0] - mid);
for (int idx = 1; idx < pts; ++idx) {
double test = fabs(intersections.fT[0][idx] - mid);
if (closest > test) {
closestIdx = idx;
closest = test;
}
}
if (closestIdx < pts - 1) {
intersections.fT[0][closestIdx] = intersections.fT[0][pts - 1];
}
--pts;
}
double bestT = -1;
for (int index = 0; index < pts; ++index) {
double foundT = intersections.fT[0][index];
if (approximately_less_than_zero(foundT)
|| approximately_greater_than_one(foundT)) {
continue;
}
SkScalar testY = (*SegmentYAtT[fVerb])(fPts, foundT);
if (approximately_negative(testY - bestY)
|| approximately_negative(basePt.fY - testY)) {
continue;
}
if (pts > 1 && fVerb == SkPath::kLine_Verb) {
return SK_MinS32; // if the intersection is edge on, wait for another one
}
if (fVerb > SkPath::kLine_Verb) {
SkScalar dx = (*SegmentDXAtT[fVerb])(fPts, foundT);
if (approximately_zero(dx)) {
return SK_MinS32; // hit vertical, wait for another one
}
}
bestY = testY;
bestT = foundT;
}
if (bestT < 0) {
return bestTIndex;
}
SkASSERT(bestT >= 0);
SkASSERT(bestT <= 1);
int start;
int end = 0;
do {
start = end;
end = nextSpan(start, 1);
} while (fTs[end].fT < bestT);
// FIXME: see next candidate for a better pattern to find the next start/end pair
while (start + 1 < end && fTs[start].fDone) {
++start;
}
if (!isCanceled(start)) {
hitT = bestT;
bestTIndex = start;
hitSomething = true;
}
return bestTIndex;
}
void decrementSpan(Span* span) {
SkASSERT(span->fWindValue > 0);
if (--(span->fWindValue) == 0) {
if (!span->fOppValue && !span->fDone) {
span->fDone = true;
++fDoneSpans;
}
}
}
bool bumpSpan(Span* span, int windDelta, int oppDelta) {
SkASSERT(!span->fDone);
span->fWindValue += windDelta;
SkASSERT(span->fWindValue >= 0);
span->fOppValue += oppDelta;
SkASSERT(span->fOppValue >= 0);
if (fXor) {
span->fWindValue &= 1;
}
if (fOppXor) {
span->fOppValue &= 1;
}
if (!span->fWindValue && !span->fOppValue) {
span->fDone = true;
++fDoneSpans;
return true;
}
return false;
}
// OPTIMIZE
// when the edges are initially walked, they don't automatically get the prior and next
// edges assigned to positions t=0 and t=1. Doing that would remove the need for this check,
// and would additionally remove the need for similar checks in condition edges. It would
// also allow intersection code to assume end of segment intersections (maybe?)
bool complete() const {
int count = fTs.count();
return count > 1 && fTs[0].fT == 0 && fTs[--count].fT == 1;
}
bool done() const {
SkASSERT(fDoneSpans <= fTs.count());
return fDoneSpans == fTs.count();
}
bool done(int min) const {
return fTs[min].fDone;
}
bool done(const Angle* angle) const {
return done(SkMin32(angle->start(), angle->end()));
}
bool equalPoints(int greaterTIndex, int lesserTIndex) {
SkASSERT(greaterTIndex >= lesserTIndex);
double greaterT = fTs[greaterTIndex].fT;
double lesserT = fTs[lesserTIndex].fT;
if (greaterT == lesserT) {
return true;
}
if (!approximately_negative(greaterT - lesserT)) {
return false;
}
return xyAtT(greaterTIndex) == xyAtT(lesserTIndex);
}
/*
The M and S variable name parts stand for the operators.
Mi stands for Minuend (see wiki subtraction, analogous to difference)
Su stands for Subtrahend
The Opp variable name part designates that the value is for the Opposite operator.
Opposite values result from combining coincident spans.
*/
Segment* findNextOp(SkTDArray<Span*>& chase, int& nextStart, int& nextEnd,
bool& unsortable, ShapeOp op, const int xorMiMask, const int xorSuMask) {
const int startIndex = nextStart;
const int endIndex = nextEnd;
SkASSERT(startIndex != endIndex);
const int count = fTs.count();
SkASSERT(startIndex < endIndex ? startIndex < count - 1 : startIndex > 0);
const int step = SkSign32(endIndex - startIndex);
const int end = nextExactSpan(startIndex, step);
SkASSERT(end >= 0);
Span* endSpan = &fTs[end];
Segment* other;
if (isSimple(end)) {
// mark the smaller of startIndex, endIndex done, and all adjacent
// spans with the same T value (but not 'other' spans)
#if DEBUG_WINDING
SkDebugf("%s simple\n", __FUNCTION__);
#endif
int min = SkMin32(startIndex, endIndex);
if (fTs[min].fDone) {
return NULL;
}
markDoneBinary(min);
other = endSpan->fOther;
nextStart = endSpan->fOtherIndex;
double startT = other->fTs[nextStart].fT;
nextEnd = nextStart;
do {
nextEnd += step;
}
while (precisely_zero(startT - other->fTs[nextEnd].fT));
SkASSERT(step < 0 ? nextEnd >= 0 : nextEnd < other->fTs.count());
return other;
}
// more than one viable candidate -- measure angles to find best
SkTDArray<Angle> angles;
SkASSERT(startIndex - endIndex != 0);
SkASSERT((startIndex - endIndex < 0) ^ (step < 0));
addTwoAngles(startIndex, end, angles);
buildAngles(end, angles, true);
SkTDArray<Angle*> sorted;
bool sortable = SortAngles(angles, sorted);
int angleCount = angles.count();
int firstIndex = findStartingEdge(sorted, startIndex, end);
SkASSERT(firstIndex >= 0);
#if DEBUG_SORT
debugShowSort(__FUNCTION__, sorted, firstIndex);
#endif
if (!sortable) {
unsortable = true;
return NULL;
}
SkASSERT(sorted[firstIndex]->segment() == this);
#if DEBUG_WINDING
SkDebugf("%s firstIndex=[%d] sign=%d\n", __FUNCTION__, firstIndex,
sorted[firstIndex]->sign());
#endif
int sumMiWinding = updateWinding(endIndex, startIndex);
int sumSuWinding = updateOppWinding(endIndex, startIndex);
if (operand()) {
SkTSwap<int>(sumMiWinding, sumSuWinding);
}
int nextIndex = firstIndex + 1;
int lastIndex = firstIndex != 0 ? firstIndex : angleCount;
const Angle* foundAngle = NULL;
bool foundDone = false;
// iterate through the angle, and compute everyone's winding
Segment* nextSegment;
do {
SkASSERT(nextIndex != firstIndex);
if (nextIndex == angleCount) {
nextIndex = 0;
}
const Angle* nextAngle = sorted[nextIndex];
nextSegment = nextAngle->segment();
int maxWinding, sumWinding, oppMaxWinding, oppSumWinding;
bool activeAngle = nextSegment->activeOp(xorMiMask, xorSuMask, nextAngle->start(),
nextAngle->end(), op, sumMiWinding, sumSuWinding,
maxWinding, sumWinding, oppMaxWinding, oppSumWinding);
if (activeAngle && (!foundAngle || foundDone)) {
foundAngle = nextAngle;
foundDone = nextSegment->done(nextAngle) && !nextSegment->tiny(nextAngle);
}
if (nextSegment->done()) {
continue;
}
if (nextSegment->windSum(nextAngle) != SK_MinS32) {
continue;
}
Span* last = nextSegment->markAngle(maxWinding, sumWinding, oppMaxWinding,
oppSumWinding, activeAngle, nextAngle);
if (last) {
*chase.append() = last;
#if DEBUG_WINDING
SkDebugf("%s chase.append id=%d\n", __FUNCTION__,
last->fOther->fTs[last->fOtherIndex].fOther->debugID());
#endif
}
} while (++nextIndex != lastIndex);
markDoneBinary(SkMin32(startIndex, endIndex));
if (!foundAngle) {
return NULL;
}
nextStart = foundAngle->start();
nextEnd = foundAngle->end();
nextSegment = foundAngle->segment();
#if DEBUG_WINDING
SkDebugf("%s from:[%d] to:[%d] start=%d end=%d\n",
__FUNCTION__, debugID(), nextSegment->debugID(), nextStart, nextEnd);
#endif
return nextSegment;
}
Segment* findNextWinding(SkTDArray<Span*>& chase, int& nextStart, int& nextEnd,
bool& unsortable) {
const int startIndex = nextStart;
const int endIndex = nextEnd;
SkASSERT(startIndex != endIndex);
const int count = fTs.count();
SkASSERT(startIndex < endIndex ? startIndex < count - 1 : startIndex > 0);
const int step = SkSign32(endIndex - startIndex);
const int end = nextExactSpan(startIndex, step);
SkASSERT(end >= 0);
Span* endSpan = &fTs[end];
Segment* other;
if (isSimple(end)) {
// mark the smaller of startIndex, endIndex done, and all adjacent
// spans with the same T value (but not 'other' spans)
#if DEBUG_WINDING
SkDebugf("%s simple\n", __FUNCTION__);
#endif
int min = SkMin32(startIndex, endIndex);
if (fTs[min].fDone) {
return NULL;
}
markDoneUnary(min);
other = endSpan->fOther;
nextStart = endSpan->fOtherIndex;
double startT = other->fTs[nextStart].fT;
nextEnd = nextStart;
do {
nextEnd += step;
}
while (precisely_zero(startT - other->fTs[nextEnd].fT));
SkASSERT(step < 0 ? nextEnd >= 0 : nextEnd < other->fTs.count());
return other;
}
// more than one viable candidate -- measure angles to find best
SkTDArray<Angle> angles;
SkASSERT(startIndex - endIndex != 0);
SkASSERT((startIndex - endIndex < 0) ^ (step < 0));
addTwoAngles(startIndex, end, angles);
buildAngles(end, angles, true);
SkTDArray<Angle*> sorted;
bool sortable = SortAngles(angles, sorted);
int angleCount = angles.count();
int firstIndex = findStartingEdge(sorted, startIndex, end);
SkASSERT(firstIndex >= 0);
#if DEBUG_SORT
debugShowSort(__FUNCTION__, sorted, firstIndex);
#endif
if (!sortable) {
unsortable = true;
return NULL;
}
SkASSERT(sorted[firstIndex]->segment() == this);
#if DEBUG_WINDING
SkDebugf("%s firstIndex=[%d] sign=%d\n", __FUNCTION__, firstIndex,
sorted[firstIndex]->sign());
#endif
int sumWinding = updateWinding(endIndex, startIndex);
int nextIndex = firstIndex + 1;
int lastIndex = firstIndex != 0 ? firstIndex : angleCount;
const Angle* foundAngle = NULL;
bool foundDone = false;
// iterate through the angle, and compute everyone's winding
Segment* nextSegment;
int activeCount = 0;
do {
SkASSERT(nextIndex != firstIndex);
if (nextIndex == angleCount) {
nextIndex = 0;
}
const Angle* nextAngle = sorted[nextIndex];
nextSegment = nextAngle->segment();
int maxWinding;
bool activeAngle = nextSegment->activeWinding(nextAngle->start(), nextAngle->end(),
maxWinding, sumWinding);
if (activeAngle) {
++activeCount;
if (!foundAngle || (foundDone && activeCount & 1)) {
if (nextSegment->tiny(nextAngle)) {
unsortable = true;
return NULL;
}
foundAngle = nextAngle;
foundDone = nextSegment->done(nextAngle);
}
}
if (nextSegment->done()) {
continue;
}
if (nextSegment->windSum(nextAngle) != SK_MinS32) {
continue;
}
Span* last = nextSegment->markAngle(maxWinding, sumWinding, activeAngle, nextAngle);
if (last) {
*chase.append() = last;
#if DEBUG_WINDING
SkDebugf("%s chase.append id=%d\n", __FUNCTION__,
last->fOther->fTs[last->fOtherIndex].fOther->debugID());
#endif
}
} while (++nextIndex != lastIndex);
markDoneUnary(SkMin32(startIndex, endIndex));
if (!foundAngle) {
return NULL;
}
nextStart = foundAngle->start();
nextEnd = foundAngle->end();
nextSegment = foundAngle->segment();
#if DEBUG_WINDING
SkDebugf("%s from:[%d] to:[%d] start=%d end=%d\n",
__FUNCTION__, debugID(), nextSegment->debugID(), nextStart, nextEnd);
#endif
return nextSegment;
}
Segment* findNextXor(int& nextStart, int& nextEnd, bool& unsortable) {
const int startIndex = nextStart;
const int endIndex = nextEnd;
SkASSERT(startIndex != endIndex);
int count = fTs.count();
SkASSERT(startIndex < endIndex ? startIndex < count - 1
: startIndex > 0);
int step = SkSign32(endIndex - startIndex);
int end = nextExactSpan(startIndex, step);
SkASSERT(end >= 0);
Span* endSpan = &fTs[end];
Segment* other;
if (isSimple(end)) {
#if DEBUG_WINDING
SkDebugf("%s simple\n", __FUNCTION__);
#endif
int min = SkMin32(startIndex, endIndex);
if (fTs[min].fDone) {
return NULL;
}
markDone(min, 1);
other = endSpan->fOther;
nextStart = endSpan->fOtherIndex;
double startT = other->fTs[nextStart].fT;
#if 01 // FIXME: I don't know why the logic here is difference from the winding case
SkDEBUGCODE(bool firstLoop = true;)
if ((approximately_less_than_zero(startT) && step < 0)
|| (approximately_greater_than_one(startT) && step > 0)) {
step = -step;
SkDEBUGCODE(firstLoop = false;)
}
do {
#endif
nextEnd = nextStart;
do {
nextEnd += step;
}
while (precisely_zero(startT - other->fTs[nextEnd].fT));
#if 01
if (other->fTs[SkMin32(nextStart, nextEnd)].fWindValue) {
break;
}
#ifdef SK_DEBUG
SkASSERT(firstLoop);
#endif
SkDEBUGCODE(firstLoop = false;)
step = -step;
} while (true);
#endif
SkASSERT(step < 0 ? nextEnd >= 0 : nextEnd < other->fTs.count());
return other;
}
SkTDArray<Angle> angles;
SkASSERT(startIndex - endIndex != 0);
SkASSERT((startIndex - endIndex < 0) ^ (step < 0));
addTwoAngles(startIndex, end, angles);
buildAngles(end, angles, false);
SkTDArray<Angle*> sorted;
bool sortable = SortAngles(angles, sorted);
if (!sortable) {
unsortable = true;
#if DEBUG_SORT
debugShowSort(__FUNCTION__, sorted, findStartingEdge(sorted, startIndex, end), 0, 0);
#endif
return NULL;
}
int angleCount = angles.count();
int firstIndex = findStartingEdge(sorted, startIndex, end);
SkASSERT(firstIndex >= 0);
#if DEBUG_SORT
debugShowSort(__FUNCTION__, sorted, firstIndex, 0, 0);
#endif
SkASSERT(sorted[firstIndex]->segment() == this);
int nextIndex = firstIndex + 1;
int lastIndex = firstIndex != 0 ? firstIndex : angleCount;
const Angle* foundAngle = NULL;
bool foundDone = false;
Segment* nextSegment;
int activeCount = 0;
do {
SkASSERT(nextIndex != firstIndex);
if (nextIndex == angleCount) {
nextIndex = 0;
}
const Angle* nextAngle = sorted[nextIndex];
nextSegment = nextAngle->segment();
++activeCount;
if (!foundAngle || (foundDone && activeCount & 1)) {
if (nextSegment->tiny(nextAngle)) {
unsortable = true;
return NULL;
}
foundAngle = nextAngle;
foundDone = nextSegment->done(nextAngle);
}
if (nextSegment->done()) {
continue;
}
} while (++nextIndex != lastIndex);
markDone(SkMin32(startIndex, endIndex), 1);
if (!foundAngle) {
return NULL;
}
nextStart = foundAngle->start();
nextEnd = foundAngle->end();
nextSegment = foundAngle->segment();
#if DEBUG_WINDING
SkDebugf("%s from:[%d] to:[%d] start=%d end=%d\n",
__FUNCTION__, debugID(), nextSegment->debugID(), nextStart, nextEnd);
#endif
return nextSegment;
}
int findStartingEdge(SkTDArray<Angle*>& sorted, int start, int end) {
int angleCount = sorted.count();
int firstIndex = -1;
for (int angleIndex = 0; angleIndex < angleCount; ++angleIndex) {
const Angle* angle = sorted[angleIndex];
if (angle->segment() == this && angle->start() == end &&
angle->end() == start) {
firstIndex = angleIndex;
break;
}
}
return firstIndex;
}
// FIXME: this is tricky code; needs its own unit test
// note that fOtherIndex isn't computed yet, so it can't be used here
void findTooCloseToCall() {
int count = fTs.count();
if (count < 3) { // require t=0, x, 1 at minimum
return;
}
int matchIndex = 0;
int moCount;
Span* match;
Segment* mOther;
do {
match = &fTs[matchIndex];
mOther = match->fOther;
// FIXME: allow quads, cubics to be near coincident?
if (mOther->fVerb == SkPath::kLine_Verb) {
moCount = mOther->fTs.count();
if (moCount >= 3) {
break;
}
}
if (++matchIndex >= count) {
return;
}
} while (true); // require t=0, x, 1 at minimum
// OPTIMIZATION: defer matchPt until qualifying toCount is found?
const SkPoint* matchPt = &xyAtT(match);
// look for a pair of nearby T values that map to the same (x,y) value
// if found, see if the pair of other segments share a common point. If
// so, the span from here to there is coincident.
for (int index = matchIndex + 1; index < count; ++index) {
Span* test = &fTs[index];
if (test->fDone) {
continue;
}
Segment* tOther = test->fOther;
if (tOther->fVerb != SkPath::kLine_Verb) {
continue; // FIXME: allow quads, cubics to be near coincident?
}
int toCount = tOther->fTs.count();
if (toCount < 3) { // require t=0, x, 1 at minimum
continue;
}
const SkPoint* testPt = &xyAtT(test);
if (*matchPt != *testPt) {
matchIndex = index;
moCount = toCount;
match = test;
mOther = tOther;
matchPt = testPt;
continue;
}
int moStart = -1;
int moEnd = -1;
double moStartT, moEndT;
for (int moIndex = 0; moIndex < moCount; ++moIndex) {
Span& moSpan = mOther->fTs[moIndex];
if (moSpan.fDone) {
continue;
}
if (moSpan.fOther == this) {
if (moSpan.fOtherT == match->fT) {
moStart = moIndex;
moStartT = moSpan.fT;
}
continue;
}
if (moSpan.fOther == tOther) {
if (tOther->windValueAt(moSpan.fOtherT) == 0) {
moStart = -1;
break;
}
SkASSERT(moEnd == -1);
moEnd = moIndex;
moEndT = moSpan.fT;
}
}
if (moStart < 0 || moEnd < 0) {
continue;
}
// FIXME: if moStartT, moEndT are initialized to NaN, can skip this test
if (approximately_equal(moStartT, moEndT)) {
continue;
}
int toStart = -1;
int toEnd = -1;
double toStartT, toEndT;
for (int toIndex = 0; toIndex < toCount; ++toIndex) {
Span& toSpan = tOther->fTs[toIndex];
if (toSpan.fDone) {
continue;
}
if (toSpan.fOther == this) {
if (toSpan.fOtherT == test->fT) {
toStart = toIndex;
toStartT = toSpan.fT;
}
continue;
}
if (toSpan.fOther == mOther && toSpan.fOtherT == moEndT) {
if (mOther->windValueAt(toSpan.fOtherT) == 0) {
moStart = -1;
break;
}
SkASSERT(toEnd == -1);
toEnd = toIndex;
toEndT = toSpan.fT;
}
}
// FIXME: if toStartT, toEndT are initialized to NaN, can skip this test
if (toStart <= 0 || toEnd <= 0) {
continue;
}
if (approximately_equal(toStartT, toEndT)) {
continue;
}
// test to see if the segment between there and here is linear
if (!mOther->isLinear(moStart, moEnd)
|| !tOther->isLinear(toStart, toEnd)) {
continue;
}
bool flipped = (moStart - moEnd) * (toStart - toEnd) < 1;
if (flipped) {
mOther->addTCancel(moStartT, moEndT, *tOther, toEndT, toStartT);
} else {
mOther->addTCoincident(moStartT, moEndT, *tOther, toStartT, toEndT);
}
}
}
// start here;
// either:
// a) mark spans with either end unsortable as done, or
// b) rewrite findTop / findTopSegment / findTopContour to iterate further
// when encountering an unsortable span
// OPTIMIZATION : for a pair of lines, can we compute points at T (cached)
// and use more concise logic like the old edge walker code?
// FIXME: this needs to deal with coincident edges
Segment* findTop(int& tIndex, int& endIndex, bool& unsortable, bool onlySortable) {
// iterate through T intersections and return topmost
// topmost tangent from y-min to first pt is closer to horizontal
SkASSERT(!done());
int firstT = -1;
SkPoint topPt;
topPt.fY = SK_ScalarMax;
int count = fTs.count();
// see if either end is not done since we want smaller Y of the pair
bool lastDone = true;
bool lastUnsortable = false;
for (int index = 0; index < count; ++index) {
const Span& span = fTs[index];
if (onlySortable && (span.fUnsortableStart || lastUnsortable)) {
goto next;
}
if (!span.fDone | !lastDone) {
const SkPoint& intercept = xyAtT(&span);
if (topPt.fY > intercept.fY || (topPt.fY == intercept.fY
&& topPt.fX > intercept.fX)) {
topPt = intercept;
firstT = index;
}
}
next:
lastDone = span.fDone;
lastUnsortable = span.fUnsortableEnd;
}
SkASSERT(firstT >= 0);
// sort the edges to find the leftmost
int step = 1;
int end = nextSpan(firstT, step);
if (end == -1) {
step = -1;
end = nextSpan(firstT, step);
SkASSERT(end != -1);
}
// if the topmost T is not on end, or is three-way or more, find left
// look for left-ness from tLeft to firstT (matching y of other)
SkTDArray<Angle> angles;
SkASSERT(firstT - end != 0);
addTwoAngles(end, firstT, angles);
buildAngles(firstT, angles, true);
SkTDArray<Angle*> sorted;
bool sortable = SortAngles(angles, sorted);
#if DEBUG_SORT
sorted[0]->segment()->debugShowSort(__FUNCTION__, sorted, 0, 0, 0);
#endif
if (onlySortable && !sortable) {
unsortable = true;
return NULL;
}
// skip edges that have already been processed
firstT = -1;
Segment* leftSegment;
do {
const Angle* angle = sorted[++firstT];
SkASSERT(!onlySortable || !angle->unsortable());
leftSegment = angle->segment();
tIndex = angle->end();
endIndex = angle->start();
} while (leftSegment->fTs[SkMin32(tIndex, endIndex)].fDone);
SkASSERT(!leftSegment->fTs[SkMin32(tIndex, endIndex)].fTiny);
return leftSegment;
}
// FIXME: not crazy about this
// when the intersections are performed, the other index is into an
// incomplete array. as the array grows, the indices become incorrect
// while the following fixes the indices up again, it isn't smart about
// skipping segments whose indices are already correct
// assuming we leave the code that wrote the index in the first place
void fixOtherTIndex() {
int iCount = fTs.count();
for (int i = 0; i < iCount; ++i) {
Span& iSpan = fTs[i];
double oT = iSpan.fOtherT;
Segment* other = iSpan.fOther;
int oCount = other->fTs.count();
for (int o = 0; o < oCount; ++o) {
Span& oSpan = other->fTs[o];
if (oT == oSpan.fT && this == oSpan.fOther) {
iSpan.fOtherIndex = o;
break;
}
}
}
}
void init(const SkPoint pts[], SkPath::Verb verb, bool operand, bool evenOdd) {
fDoneSpans = 0;
fOperand = operand;
fXor = evenOdd;
fPts = pts;
fVerb = verb;
}
void initWinding(int start, int end) {
int local = spanSign(start, end);
int oppLocal = oppSign(start, end);
(void) markAndChaseWinding(start, end, local, oppLocal);
// OPTIMIZATION: the reverse mark and chase could skip the first marking
(void) markAndChaseWinding(end, start, local, oppLocal);
}
void initWinding(int start, int end, int winding, int oppWinding) {
int local = spanSign(start, end);
if (local * winding >= 0) {
winding += local;
}
int oppLocal = oppSign(start, end);
if (oppLocal * oppWinding >= 0) {
oppWinding += oppLocal;
}
(void) markAndChaseWinding(start, end, winding, oppWinding);
}
/*
when we start with a vertical intersect, we try to use the dx to determine if the edge is to
the left or the right of vertical. This determines if we need to add the span's
sign or not. However, this isn't enough.
If the supplied sign (winding) is zero, then we didn't hit another vertical span, so dx is needed.
If there was a winding, then it may or may not need adjusting. If the span the winding was borrowed
from has the same x direction as this span, the winding should change. If the dx is opposite, then
the same winding is shared by both.
*/
void initWinding(int start, int end, double tHit, int winding, SkScalar hitDx, int oppWind,
SkScalar hitOppDx) {
SkASSERT(hitDx || !winding);
SkScalar dx = (*SegmentDXAtT[fVerb])(fPts, tHit);
SkASSERT(dx);
int windVal = windValue(SkMin32(start, end));
#if DEBUG_WINDING_AT_T
SkDebugf("%s oldWinding=%d hitDx=%c dx=%c windVal=%d", __FUNCTION__, winding,
hitDx ? hitDx > 0 ? '+' : '-' : '0', dx > 0 ? '+' : '-', windVal);
#endif
if (!winding) {
winding = dx < 0 ? windVal : -windVal;
} else if (winding * dx < 0) {
int sideWind = winding + (dx < 0 ? windVal : -windVal);
if (abs(winding) < abs(sideWind)) {
winding = sideWind;
}
}
#if DEBUG_WINDING_AT_T
SkDebugf(" winding=%d\n", winding);
#endif
int oppLocal = oppSign(start, end);
SkASSERT(hitOppDx || !oppWind || !oppLocal);
int oppWindVal = oppValue(SkMin32(start, end));
if (!oppWind) {
oppWind = dx < 0 ? oppWindVal : -oppWindVal;
} else if (hitOppDx * dx >= 0) {
int oppSideWind = oppWind + (dx < 0 ? oppWindVal : -oppWindVal);
if (abs(oppWind) < abs(oppSideWind)) {
oppWind = oppSideWind;
}
}
(void) markAndChaseWinding(start, end, winding, oppWind);
}
bool intersected() const {
return fTs.count() > 0;
}
bool isCanceled(int tIndex) const {
return fTs[tIndex].fWindValue == 0 && fTs[tIndex].fOppValue == 0;
}
bool isConnected(int startIndex, int endIndex) const {
return fTs[startIndex].fWindSum != SK_MinS32
|| fTs[endIndex].fWindSum != SK_MinS32;
}
bool isHorizontal() const {
return fBounds.fTop == fBounds.fBottom;
}
bool isLinear(int start, int end) const {
if (fVerb == SkPath::kLine_Verb) {
return true;
}
if (fVerb == SkPath::kQuad_Verb) {
SkPoint qPart[3];
QuadSubDivide(fPts, fTs[start].fT, fTs[end].fT, qPart);
return QuadIsLinear(qPart);
} else {
SkASSERT(fVerb == SkPath::kCubic_Verb);
SkPoint cPart[4];
CubicSubDivide(fPts, fTs[start].fT, fTs[end].fT, cPart);
return CubicIsLinear(cPart);
}
}
// OPTIMIZE: successive calls could start were the last leaves off
// or calls could specialize to walk forwards or backwards
bool isMissing(double startT) const {
size_t tCount = fTs.count();
for (size_t index = 0; index < tCount; ++index) {
if (approximately_zero(startT - fTs[index].fT)) {
return false;
}
}
return true;
}
bool isSimple(int end) const {
int count = fTs.count();
if (count == 2) {
return true;
}
double t = fTs[end].fT;
if (approximately_less_than_zero(t)) {
return !approximately_less_than_zero(fTs[1].fT);
}
if (approximately_greater_than_one(t)) {
return !approximately_greater_than_one(fTs[count - 2].fT);
}
return false;
}
bool isVertical() const {
return fBounds.fLeft == fBounds.fRight;
}
bool isVertical(int start, int end) const {
return (*SegmentVertical[fVerb])(fPts, start, end);
}
SkScalar leftMost(int start, int end) const {
return (*SegmentLeftMost[fVerb])(fPts, fTs[start].fT, fTs[end].fT);
}
// this span is excluded by the winding rule -- chase the ends
// as long as they are unambiguous to mark connections as done
// and give them the same winding value
Span* markAndChaseDone(const Angle* angle, int winding) {
int index = angle->start();
int endIndex = angle->end();
return markAndChaseDone(index, endIndex, winding);
}
Span* markAndChaseDone(int index, int endIndex, int winding) {
int step = SkSign32(endIndex - index);
int min = SkMin32(index, endIndex);
markDone(min, winding);
Span* last;
Segment* other = this;
while ((other = other->nextChase(index, step, min, last))) {
other->markDone(min, winding);
}
return last;
}
Span* markAndChaseDoneBinary(const Angle* angle, int winding, int oppWinding) {
int index = angle->start();
int endIndex = angle->end();
int step = SkSign32(endIndex - index);
int min = SkMin32(index, endIndex);
markDoneBinary(min, winding, oppWinding);
Span* last;
Segment* other = this;
while ((other = other->nextChase(index, step, min, last))) {
other->markDoneBinary(min, winding, oppWinding);
}
return last;
}
Span* markAndChaseDoneBinary(int index, int endIndex) {
int step = SkSign32(endIndex - index);
int min = SkMin32(index, endIndex);
markDoneBinary(min);
Span* last;
Segment* other = this;
while ((other = other->nextChase(index, step, min, last))) {
if (other->done()) {
return NULL;
}
other->markDoneBinary(min);
}
return last;
}
Span* markAndChaseDoneUnary(int index, int endIndex) {
int step = SkSign32(endIndex - index);
int min = SkMin32(index, endIndex);
markDoneUnary(min);
Span* last;
Segment* other = this;
while ((other = other->nextChase(index, step, min, last))) {
if (other->done()) {
return NULL;
}
other->markDoneUnary(min);
}
return last;
}
Span* markAndChaseDoneUnary(const Angle* angle, int winding) {
int index = angle->start();
int endIndex = angle->end();
return markAndChaseDone(index, endIndex, winding);
}
Span* markAndChaseWinding(const Angle* angle, const int winding) {
int index = angle->start();
int endIndex = angle->end();
int step = SkSign32(endIndex - index);
int min = SkMin32(index, endIndex);
markWinding(min, winding);
Span* last;
Segment* other = this;
while ((other = other->nextChase(index, step, min, last))) {
if (other->fTs[min].fWindSum != SK_MinS32) {
SkASSERT(other->fTs[min].fWindSum == winding);
return NULL;
}
other->markWinding(min, winding);
}
return last;
}
Span* markAndChaseWinding(int index, int endIndex, int winding, int oppWinding) {
int min = SkMin32(index, endIndex);
int step = SkSign32(endIndex - index);
markWinding(min, winding, oppWinding);
Span* last;
Segment* other = this;
while ((other = other->nextChase(index, step, min, last))) {
if (other->fTs[min].fWindSum != SK_MinS32) {
SkASSERT(other->fTs[min].fWindSum == winding);
return NULL;
}
other->markWinding(min, winding, oppWinding);
}
return last;
}
Span* markAndChaseWinding(const Angle* angle, int winding, int oppWinding) {
int start = angle->start();
int end = angle->end();
return markAndChaseWinding(start, end, winding, oppWinding);
}
Span* markAngle(int maxWinding, int sumWinding, bool activeAngle, const Angle* angle) {
SkASSERT(angle->segment() == this);
if (useInnerWinding(maxWinding, sumWinding)) {
maxWinding = sumWinding;
}
Span* last;
if (activeAngle) {
last = markAndChaseWinding(angle, maxWinding);
} else {
last = markAndChaseDoneUnary(angle, maxWinding);
}
return last;
}
Span* markAngle(int maxWinding, int sumWinding, int oppMaxWinding, int oppSumWinding,
bool activeAngle, const Angle* angle) {
SkASSERT(angle->segment() == this);
if (useInnerWinding(maxWinding, sumWinding)) {
maxWinding = sumWinding;
}
if (oppMaxWinding != oppSumWinding && useInnerWinding(oppMaxWinding, oppSumWinding)) {
oppMaxWinding = oppSumWinding;
}
Span* last;
if (activeAngle) {
last = markAndChaseWinding(angle, maxWinding, oppMaxWinding);
} else {
last = markAndChaseDoneBinary(angle, maxWinding, oppMaxWinding);
}
return last;
}
// FIXME: this should also mark spans with equal (x,y)
// This may be called when the segment is already marked done. While this
// wastes time, it shouldn't do any more than spin through the T spans.
// OPTIMIZATION: abort on first done found (assuming that this code is
// always called to mark segments done).
void markDone(int index, int winding) {
// SkASSERT(!done());
SkASSERT(winding);
double referenceT = fTs[index].fT;
int lesser = index;
while (--lesser >= 0 && precisely_negative(referenceT - fTs[lesser].fT)) {
markOneDone(__FUNCTION__, lesser, winding);
}
do {
markOneDone(__FUNCTION__, index, winding);
} while (++index < fTs.count() && precisely_negative(fTs[index].fT - referenceT));
}
void markDoneBinary(int index, int winding, int oppWinding) {
// SkASSERT(!done());
SkASSERT(winding || oppWinding);
double referenceT = fTs[index].fT;
int lesser = index;
while (--lesser >= 0 && precisely_negative(referenceT - fTs[lesser].fT)) {
markOneDoneBinary(__FUNCTION__, lesser, winding, oppWinding);
}
do {
markOneDoneBinary(__FUNCTION__, index, winding, oppWinding);
} while (++index < fTs.count() && precisely_negative(fTs[index].fT - referenceT));
}
void markDoneBinary(int index) {
double referenceT = fTs[index].fT;
int lesser = index;
while (--lesser >= 0 && precisely_negative(referenceT - fTs[lesser].fT)) {
markOneDoneBinary(__FUNCTION__, lesser);
}
do {
markOneDoneBinary(__FUNCTION__, index);
} while (++index < fTs.count() && precisely_negative(fTs[index].fT - referenceT));
}
void markDoneUnary(int index, int winding) {
// SkASSERT(!done());
SkASSERT(winding);
double referenceT = fTs[index].fT;
int lesser = index;
while (--lesser >= 0 && precisely_negative(referenceT - fTs[lesser].fT)) {
markOneDoneUnary(__FUNCTION__, lesser, winding);
}
do {
markOneDoneUnary(__FUNCTION__, index, winding);
} while (++index < fTs.count() && precisely_negative(fTs[index].fT - referenceT));
}
void markDoneUnary(int index) {
double referenceT = fTs[index].fT;
int lesser = index;
while (--lesser >= 0 && precisely_negative(referenceT - fTs[lesser].fT)) {
markOneDoneUnary(__FUNCTION__, lesser);
}
do {
markOneDoneUnary(__FUNCTION__, index);
} while (++index < fTs.count() && precisely_negative(fTs[index].fT - referenceT));
}
void markOneDone(const char* funName, int tIndex, int winding) {
Span* span = markOneWinding(funName, tIndex, winding);
if (!span) {
return;
}
span->fDone = true;
fDoneSpans++;
}
void markOneDoneBinary(const char* funName, int tIndex) {
Span* span = verifyOneWinding(funName, tIndex);
if (!span) {
return;
}
span->fDone = true;
fDoneSpans++;
}
void markOneDoneBinary(const char* funName, int tIndex, int winding, int oppWinding) {
Span* span = markOneWinding(funName, tIndex, winding, oppWinding);
if (!span) {
return;
}
span->fDone = true;
fDoneSpans++;
}
void markOneDoneUnary(const char* funName, int tIndex) {
Span* span = verifyOneWindingU(funName, tIndex);
if (!span) {
return;
}
span->fDone = true;
fDoneSpans++;
}
void markOneDoneUnary(const char* funName, int tIndex, int winding) {
Span* span = markOneWinding(funName, tIndex, winding);
if (!span) {
return;
}
span->fDone = true;
fDoneSpans++;
}
Span* markOneWinding(const char* funName, int tIndex, int winding) {
Span& span = fTs[tIndex];
if (span.fDone) {
return NULL;
}
#if DEBUG_MARK_DONE
debugShowNewWinding(funName, span, winding);
#endif
SkASSERT(span.fWindSum == SK_MinS32 || span.fWindSum == winding);
#ifdef SK_DEBUG
SkASSERT(abs(winding) <= gDebugMaxWindSum);
#endif
span.fWindSum = winding;
return &span;
}
Span* markOneWinding(const char* funName, int tIndex, int winding, int oppWinding) {
Span& span = fTs[tIndex];
if (span.fDone) {
return NULL;
}
#if DEBUG_MARK_DONE
debugShowNewWinding(funName, span, winding, oppWinding);
#endif
SkASSERT(span.fWindSum == SK_MinS32 || span.fWindSum == winding);
#ifdef SK_DEBUG
SkASSERT(abs(winding) <= gDebugMaxWindSum);
#endif
span.fWindSum = winding;
SkASSERT(span.fOppSum == SK_MinS32 || span.fOppSum == oppWinding);
#ifdef SK_DEBUG
SkASSERT(abs(oppWinding) <= gDebugMaxWindSum);
#endif
span.fOppSum = oppWinding;
return &span;
}
Span* verifyOneWinding(const char* funName, int tIndex) {
Span& span = fTs[tIndex];
if (span.fDone) {
return NULL;
}
#if DEBUG_MARK_DONE
debugShowNewWinding(funName, span, span.fWindSum, span.fOppSum);
#endif
SkASSERT(span.fWindSum != SK_MinS32);
SkASSERT(span.fOppSum != SK_MinS32);
return &span;
}
Span* verifyOneWindingU(const char* funName, int tIndex) {
Span& span = fTs[tIndex];
if (span.fDone) {
return NULL;
}
#if DEBUG_MARK_DONE
debugShowNewWinding(funName, span, span.fWindSum);
#endif
SkASSERT(span.fWindSum != SK_MinS32);
return &span;
}
// note that just because a span has one end that is unsortable, that's
// not enough to mark it done. The other end may be sortable, allowing the
// span to be added.
// FIXME: if abs(start - end) > 1, mark intermediates as unsortable on both ends
void markUnsortable(int start, int end) {
Span* span = &fTs[start];
if (start < end) {
#if DEBUG_UNSORTABLE
SkDebugf("%s start id=%d [%d] (%1.9g,%1.9g)\n", __FUNCTION__, fID, start,
xAtT(start), yAtT(start));
#endif
span->fUnsortableStart = true;
} else {
--span;
#if DEBUG_UNSORTABLE
SkDebugf("%s end id=%d [%d] (%1.9g,%1.9g) next:(%1.9g,%1.9g)\n", __FUNCTION__, fID,
start - 1, xAtT(start - 1), yAtT(start - 1), xAtT(start), yAtT(start));
#endif
span->fUnsortableEnd = true;
}
if (!span->fUnsortableStart || !span->fUnsortableEnd || span->fDone) {
return;
}
span->fDone = true;
fDoneSpans++;
}
void markWinding(int index, int winding) {
// SkASSERT(!done());
SkASSERT(winding);
double referenceT = fTs[index].fT;
int lesser = index;
while (--lesser >= 0 && precisely_negative(referenceT - fTs[lesser].fT)) {
markOneWinding(__FUNCTION__, lesser, winding);
}
do {
markOneWinding(__FUNCTION__, index, winding);
} while (++index < fTs.count() && precisely_negative(fTs[index].fT - referenceT));
}
void markWinding(int index, int winding, int oppWinding) {
// SkASSERT(!done());
SkASSERT(winding || oppWinding);
double referenceT = fTs[index].fT;
int lesser = index;
while (--lesser >= 0 && precisely_negative(referenceT - fTs[lesser].fT)) {
markOneWinding(__FUNCTION__, lesser, winding, oppWinding);
}
do {
markOneWinding(__FUNCTION__, index, winding, oppWinding);
} while (++index < fTs.count() && precisely_negative(fTs[index].fT - referenceT));
}
void matchWindingValue(int tIndex, double t, bool borrowWind) {
int nextDoorWind = SK_MaxS32;
int nextOppWind = SK_MaxS32;
if (tIndex > 0) {
const Span& below = fTs[tIndex - 1];
if (approximately_negative(t - below.fT)) {
nextDoorWind = below.fWindValue;
nextOppWind = below.fOppValue;
}
}
if (nextDoorWind == SK_MaxS32 && tIndex + 1 < fTs.count()) {
const Span& above = fTs[tIndex + 1];
if (approximately_negative(above.fT - t)) {
nextDoorWind = above.fWindValue;
nextOppWind = above.fOppValue;
}
}
if (nextDoorWind == SK_MaxS32 && borrowWind && tIndex > 0 && t < 1) {
const Span& below = fTs[tIndex - 1];
nextDoorWind = below.fWindValue;
nextOppWind = below.fOppValue;
}
if (nextDoorWind != SK_MaxS32) {
Span& newSpan = fTs[tIndex];
newSpan.fWindValue = nextDoorWind;
newSpan.fOppValue = nextOppWind;
if (!nextDoorWind && !nextOppWind && !newSpan.fDone) {
newSpan.fDone = true;
++fDoneSpans;
}
}
}
bool moreHorizontal(int index, int endIndex, bool& unsortable) const {
// find bounds
Bounds bounds;
bounds.setPoint(xyAtT(index));
bounds.add(xyAtT(endIndex));
SkScalar width = bounds.width();
SkScalar height = bounds.height();
if (width > height) {
if (approximately_negative(width)) {
unsortable = true; // edge is too small to resolve meaningfully
}
return false;
} else {
if (approximately_negative(height)) {
unsortable = true; // edge is too small to resolve meaningfully
}
return true;
}
}
// return span if when chasing, two or more radiating spans are not done
// OPTIMIZATION: ? multiple spans is detected when there is only one valid
// candidate and the remaining spans have windValue == 0 (canceled by
// coincidence). The coincident edges could either be removed altogether,
// or this code could be more complicated in detecting this case. Worth it?
bool multipleSpans(int end) const {
return end > 0 && end < fTs.count() - 1;
}
bool nextCandidate(int& start, int& end) const {
while (fTs[end].fDone) {
if (fTs[end].fT == 1) {
return false;
}
++end;
}
start = end;
end = nextExactSpan(start, 1);
return true;
}
Segment* nextChase(int& index, const int step, int& min, Span*& last) const {
int end = nextExactSpan(index, step);
SkASSERT(end >= 0);
if (multipleSpans(end)) {
last = &fTs[end];
return NULL;
}
const Span& endSpan = fTs[end];
Segment* other = endSpan.fOther;
index = endSpan.fOtherIndex;
SkASSERT(index >= 0);
int otherEnd = other->nextExactSpan(index, step);
SkASSERT(otherEnd >= 0);
min = SkMin32(index, otherEnd);
return other;
}
// This has callers for two different situations: one establishes the end
// of the current span, and one establishes the beginning of the next span
// (thus the name). When this is looking for the end of the current span,
// coincidence is found when the beginning Ts contain -step and the end
// contains step. When it is looking for the beginning of the next, the
// first Ts found can be ignored and the last Ts should contain -step.
// OPTIMIZATION: probably should split into two functions
int nextSpan(int from, int step) const {
const Span& fromSpan = fTs[from];
int count = fTs.count();
int to = from;
while (step > 0 ? ++to < count : --to >= 0) {
const Span& span = fTs[to];
if (approximately_zero(span.fT - fromSpan.fT)) {
continue;
}
return to;
}
return -1;
}
// FIXME
// this returns at any difference in T, vs. a preset minimum. It may be
// that all callers to nextSpan should use this instead.
// OPTIMIZATION splitting this into separate loops for up/down steps
// would allow using precisely_negative instead of precisely_zero
int nextExactSpan(int from, int step) const {
const Span& fromSpan = fTs[from];
int count = fTs.count();
int to = from;
while (step > 0 ? ++to < count : --to >= 0) {
const Span& span = fTs[to];
if (precisely_zero(span.fT - fromSpan.fT)) {
continue;
}
return to;
}
return -1;
}
bool operand() const {
return fOperand;
}
int oppSign(const Angle* angle) const {
SkASSERT(angle->segment() == this);
return oppSign(angle->start(), angle->end());
}
int oppSign(int startIndex, int endIndex) const {
int result = startIndex < endIndex ? -fTs[startIndex].fOppValue
: fTs[endIndex].fOppValue;
#if DEBUG_WIND_BUMP
SkDebugf("%s oppSign=%d\n", __FUNCTION__, result);
#endif
return result;
}
int oppSum(int tIndex) const {
return fTs[tIndex].fOppSum;
}
int oppSum(const Angle* angle) const {
int lesser = SkMin32(angle->start(), angle->end());
return fTs[lesser].fOppSum;
}
int oppValue(int tIndex) const {
return fTs[tIndex].fOppValue;
}
int oppValue(const Angle* angle) const {
int lesser = SkMin32(angle->start(), angle->end());
return fTs[lesser].fOppValue;
}
const SkPoint* pts() const {
return fPts;
}
void reset() {
init(NULL, (SkPath::Verb) -1, false, false);
fBounds.set(SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, SK_ScalarMax);
fTs.reset();
}
void setOppXor(bool isOppXor) {
fOppXor = isOppXor;
}
void setUpWinding(int index, int endIndex, int& maxWinding, int& sumWinding) {
int deltaSum = spanSign(index, endIndex);
maxWinding = sumWinding;
sumWinding = sumWinding -= deltaSum;
}
void setUpWindings(int index, int endIndex, int& sumMiWinding, int& sumSuWinding,
int& maxWinding, int& sumWinding, int& oppMaxWinding, int& oppSumWinding) {
int deltaSum = spanSign(index, endIndex);
int oppDeltaSum = oppSign(index, endIndex);
if (operand()) {
maxWinding = sumSuWinding;
sumWinding = sumSuWinding -= deltaSum;
oppMaxWinding = sumMiWinding;
oppSumWinding = sumMiWinding -= oppDeltaSum;
} else {
maxWinding = sumMiWinding;
sumWinding = sumMiWinding -= deltaSum;
oppMaxWinding = sumSuWinding;
oppSumWinding = sumSuWinding -= oppDeltaSum;
}
}
// This marks all spans unsortable so that this info is available for early
// exclusion in find top and others. This could be optimized to only mark
// adjacent spans that unsortable. However, this makes it difficult to later
// determine starting points for edge detection in find top and the like.
static bool SortAngles(SkTDArray<Angle>& angles, SkTDArray<Angle*>& angleList) {
bool sortable = true;
int angleCount = angles.count();
int angleIndex;
angleList.setReserve(angleCount);
for (angleIndex = 0; angleIndex < angleCount; ++angleIndex) {
Angle& angle = angles[angleIndex];
*angleList.append() = &angle;
sortable &= !angle.unsortable();
}
if (sortable) {
QSort<Angle>(angleList.begin(), angleList.end() - 1);
for (angleIndex = 0; angleIndex < angleCount; ++angleIndex) {
if (angles[angleIndex].unsortable()) {
sortable = false;
break;
}
}
}
if (!sortable) {
for (angleIndex = 0; angleIndex < angleCount; ++angleIndex) {
Angle& angle = angles[angleIndex];
angle.segment()->markUnsortable(angle.start(), angle.end());
}
}
return sortable;
}
// OPTIMIZATION: mark as debugging only if used solely by tests
const Span& span(int tIndex) const {
return fTs[tIndex];
}
int spanSign(const Angle* angle) const {
SkASSERT(angle->segment() == this);
return spanSign(angle->start(), angle->end());
}
int spanSign(int startIndex, int endIndex) const {
int result = startIndex < endIndex ? -fTs[startIndex].fWindValue
: fTs[endIndex].fWindValue;
#if DEBUG_WIND_BUMP
SkDebugf("%s spanSign=%d\n", __FUNCTION__, result);
#endif
return result;
}
// OPTIMIZATION: mark as debugging only if used solely by tests
double t(int tIndex) const {
return fTs[tIndex].fT;
}
double tAtMid(int start, int end, double mid) const {
return fTs[start].fT * (1 - mid) + fTs[end].fT * mid;
}
bool tiny(const Angle* angle) const {
int start = angle->start();
int end = angle->end();
const Span& mSpan = fTs[SkMin32(start, end)];
return mSpan.fTiny;
}
static void TrackOutside(SkTDArray<double>& outsideTs, double end,
double start) {
int outCount = outsideTs.count();
if (outCount == 0 || !approximately_negative(end - outsideTs[outCount - 2])) {
*outsideTs.append() = end;
*outsideTs.append() = start;
}
}
void undoneSpan(int& start, int& end) {
size_t tCount = fTs.count();
size_t index;
for (index = 0; index < tCount; ++index) {
if (!fTs[index].fDone) {
break;
}
}
SkASSERT(index < tCount - 1);
start = index;
double startT = fTs[index].fT;
while (approximately_negative(fTs[++index].fT - startT))
SkASSERT(index < tCount);
SkASSERT(index < tCount);
end = index;
}
bool unsortable(int index) const {
return fTs[index].fUnsortableStart || fTs[index].fUnsortableEnd;
}
void updatePts(const SkPoint pts[]) {
fPts = pts;
}
int updateOppWinding(int index, int endIndex) const {
int lesser = SkMin32(index, endIndex);
int oppWinding = oppSum(lesser);
int oppSpanWinding = oppSign(index, endIndex);
if (oppSpanWinding && useInnerWinding(oppWinding - oppSpanWinding, oppWinding)) {
oppWinding -= oppSpanWinding;
}
return oppWinding;
}
int updateOppWinding(const Angle* angle) const {
int startIndex = angle->start();
int endIndex = angle->end();
return updateOppWinding(endIndex, startIndex);
}
int updateOppWindingReverse(const Angle* angle) const {
int startIndex = angle->start();
int endIndex = angle->end();
return updateOppWinding(startIndex, endIndex);
}
int updateWinding(int index, int endIndex) const {
int lesser = SkMin32(index, endIndex);
int winding = windSum(lesser);
int spanWinding = spanSign(index, endIndex);
if (winding && useInnerWinding(winding - spanWinding, winding)) {
winding -= spanWinding;
}
return winding;
}
int updateWinding(const Angle* angle) const {
int startIndex = angle->start();
int endIndex = angle->end();
return updateWinding(endIndex, startIndex);
}
int updateWindingReverse(const Angle* angle) const {
int startIndex = angle->start();
int endIndex = angle->end();
return updateWinding(startIndex, endIndex);
}
SkPath::Verb verb() const {
return fVerb;
}
int windingAtT(double tHit, int tIndex, bool crossOpp, SkScalar& dx) const {
if (approximately_zero(tHit - t(tIndex))) { // if we hit the end of a span, disregard
return SK_MinS32;
}
int winding = crossOpp ? oppSum(tIndex) : windSum(tIndex);
SkASSERT(winding != SK_MinS32);
int windVal = crossOpp ? oppValue(tIndex) : windValue(tIndex);
#if DEBUG_WINDING_AT_T
SkDebugf("%s oldWinding=%d windValue=%d", __FUNCTION__, winding, windVal);
#endif
// see if a + change in T results in a +/- change in X (compute x'(T))
dx = (*SegmentDXAtT[fVerb])(fPts, tHit);
if (fVerb > SkPath::kLine_Verb && approximately_zero(dx)) {
dx = fPts[2].fX - fPts[1].fX - dx;
}
if (dx == 0) {
#if DEBUG_WINDING_AT_T
SkDebugf(" dx=0 winding=SK_MinS32\n");
#endif
return SK_MinS32;
}
if (winding * dx > 0) { // if same signs, result is negative
winding += dx > 0 ? -windVal : windVal;
}
#if DEBUG_WINDING_AT_T
SkDebugf(" dx=%c winding=%d\n", dx > 0 ? '+' : '-', winding);
#endif
return winding;
}
int windSum(int tIndex) const {
return fTs[tIndex].fWindSum;
}
int windSum(const Angle* angle) const {
int start = angle->start();
int end = angle->end();
int index = SkMin32(start, end);
return windSum(index);
}
int windValue(int tIndex) const {
return fTs[tIndex].fWindValue;
}
int windValue(const Angle* angle) const {
int start = angle->start();
int end = angle->end();
int index = SkMin32(start, end);
return windValue(index);
}
int windValueAt(double t) const {
int count = fTs.count();
for (int index = 0; index < count; ++index) {
if (fTs[index].fT == t) {
return fTs[index].fWindValue;
}
}
SkASSERT(0);
return 0;
}
SkScalar xAtT(int index) const {
return xAtT(&fTs[index]);
}
SkScalar xAtT(const Span* span) const {
return xyAtT(span).fX;
}
const SkPoint& xyAtT(int index) const {
return xyAtT(&fTs[index]);
}
const SkPoint& xyAtT(const Span* span) const {
if (SkScalarIsNaN(span->fPt.fX)) {
if (span->fT == 0) {
span->fPt = fPts[0];
} else if (span->fT == 1) {
span->fPt = fPts[fVerb];
} else {
(*SegmentXYAtT[fVerb])(fPts, span->fT, &span->fPt);
}
}
return span->fPt;
}
// used only by right angle winding finding
void xyAtT(double mid, SkPoint& pt) const {
(*SegmentXYAtT[fVerb])(fPts, mid, &pt);
}
SkScalar yAtT(int index) const {
return yAtT(&fTs[index]);
}
SkScalar yAtT(const Span* span) const {
return xyAtT(span).fY;
}
void zeroCoincidentOpp(Span* oTest, int index) {
Span* const test = &fTs[index];
Span* end = test;
do {
end->fOppValue = 0;
end = &fTs[++index];
} while (approximately_negative(end->fT - test->fT));
}
void zeroCoincidentOther(Span* test, const double tRatio, const double oEndT, int oIndex) {
Span* const oTest = &fTs[oIndex];
Span* oEnd = oTest;
const double startT = test->fT;
const double oStartT = oTest->fT;
double otherTMatch = (test->fT - startT) * tRatio + oStartT;
while (!approximately_negative(oEndT - oEnd->fT)
&& approximately_negative(oEnd->fT - otherTMatch)) {
oEnd->fOppValue = 0;
oEnd = &fTs[++oIndex];
}
}
void zeroSpan(Span* span) {
SkASSERT(span->fWindValue > 0 || span->fOppValue > 0);
span->fWindValue = 0;
span->fOppValue = 0;
SkASSERT(!span->fDone);
span->fDone = true;
++fDoneSpans;
}
#if DEBUG_DUMP
void dump() const {
const char className[] = "Segment";
const int tab = 4;
for (int i = 0; i < fTs.count(); ++i) {
SkPoint out;
(*SegmentXYAtT[fVerb])(fPts, t(i), &out);
SkDebugf("%*s [%d] %s.fTs[%d]=%1.9g (%1.9g,%1.9g) other=%d"
" otherT=%1.9g windSum=%d\n",
tab + sizeof(className), className, fID,
kLVerbStr[fVerb], i, fTs[i].fT, out.fX, out.fY,
fTs[i].fOther->fID, fTs[i].fOtherT, fTs[i].fWindSum);
}
SkDebugf("%*s [%d] fBounds=(l:%1.9g, t:%1.9g r:%1.9g, b:%1.9g)",
tab + sizeof(className), className, fID,
fBounds.fLeft, fBounds.fTop, fBounds.fRight, fBounds.fBottom);
}
#endif
#if DEBUG_CONCIDENT
// SkASSERT if pair has not already been added
void debugAddTPair(double t, const Segment& other, double otherT) const {
for (int i = 0; i < fTs.count(); ++i) {
if (fTs[i].fT == t && fTs[i].fOther == &other && fTs[i].fOtherT == otherT) {
return;
}
}
SkASSERT(0);
}
#endif
#if DEBUG_DUMP
int debugID() const {
return fID;
}
#endif
#if DEBUG_WINDING
void debugShowSums() const {
SkDebugf("%s id=%d (%1.9g,%1.9g %1.9g,%1.9g)", __FUNCTION__, fID,
fPts[0].fX, fPts[0].fY, fPts[fVerb].fX, fPts[fVerb].fY);
for (int i = 0; i < fTs.count(); ++i) {
const Span& span = fTs[i];
SkDebugf(" [t=%1.3g %1.9g,%1.9g w=", span.fT, xAtT(&span), yAtT(&span));
if (span.fWindSum == SK_MinS32) {
SkDebugf("?");
} else {
SkDebugf("%d", span.fWindSum);
}
SkDebugf("]");
}
SkDebugf("\n");
}
#endif
#if DEBUG_CONCIDENT
void debugShowTs() const {
SkDebugf("%s id=%d", __FUNCTION__, fID);
int lastWind = -1;
int lastOpp = -1;
double lastT = -1;
int i;
for (i = 0; i < fTs.count(); ++i) {
bool change = lastT != fTs[i].fT || lastWind != fTs[i].fWindValue
|| lastOpp != fTs[i].fOppValue;
if (change && lastWind >= 0) {
SkDebugf(" t=%1.3g %1.9g,%1.9g w=%d o=%d]",
lastT, xyAtT(i - 1).fX, xyAtT(i - 1).fY, lastWind, lastOpp);
}
if (change) {
SkDebugf(" [o=%d", fTs[i].fOther->fID);
lastWind = fTs[i].fWindValue;
lastOpp = fTs[i].fOppValue;
lastT = fTs[i].fT;
} else {
SkDebugf(",%d", fTs[i].fOther->fID);
}
}
if (i <= 0) {
return;
}
SkDebugf(" t=%1.3g %1.9g,%1.9g w=%d o=%d]",
lastT, xyAtT(i - 1).fX, xyAtT(i - 1).fY, lastWind, lastOpp);
if (fOperand) {
SkDebugf(" operand");
}
if (done()) {
SkDebugf(" done");
}
SkDebugf("\n");
}
#endif
#if DEBUG_ACTIVE_SPANS
void debugShowActiveSpans() const {
if (done()) {
return;
}
#if DEBUG_ACTIVE_SPANS_SHORT_FORM
int lastId = -1;
double lastT = -1;
#endif
for (int i = 0; i < fTs.count(); ++i) {
if (fTs[i].fDone) {
continue;
}
#if DEBUG_ACTIVE_SPANS_SHORT_FORM
if (lastId == fID && lastT == fTs[i].fT) {
continue;
}
lastId = fID;
lastT = fTs[i].fT;
#endif
SkDebugf("%s id=%d", __FUNCTION__, fID);
SkDebugf(" (%1.9g,%1.9g", fPts[0].fX, fPts[0].fY);
for (int vIndex = 1; vIndex <= fVerb; ++vIndex) {
SkDebugf(" %1.9g,%1.9g", fPts[vIndex].fX, fPts[vIndex].fY);
}
const Span* span = &fTs[i];
SkDebugf(") t=%1.9g (%1.9g,%1.9g)", fTs[i].fT,
xAtT(span), yAtT(span));
const Segment* other = fTs[i].fOther;
SkDebugf(" other=%d otherT=%1.9g otherIndex=%d windSum=",
other->fID, fTs[i].fOtherT, fTs[i].fOtherIndex);
if (fTs[i].fWindSum == SK_MinS32) {
SkDebugf("?");
} else {
SkDebugf("%d", fTs[i].fWindSum);
}
SkDebugf(" windValue=%d oppValue=%d\n", fTs[i].fWindValue, fTs[i].fOppValue);
}
}
// This isn't useful yet -- but leaving it in for now in case i think of something
// to use it for
void validateActiveSpans() const {
if (done()) {
return;
}
int tCount = fTs.count();
for (int index = 0; index < tCount; ++index) {
if (fTs[index].fDone) {
continue;
}
// count number of connections which are not done
int first = index;
double baseT = fTs[index].fT;
while (first > 0 && approximately_equal(fTs[first - 1].fT, baseT)) {
--first;
}
int last = index;
while (last < tCount - 1 && approximately_equal(fTs[last + 1].fT, baseT)) {
++last;
}
int connections = 0;
connections += first > 0 && !fTs[first - 1].fDone;
for (int test = first; test <= last; ++test) {
connections += !fTs[test].fDone;
const Segment* other = fTs[test].fOther;
int oIndex = fTs[test].fOtherIndex;
connections += !other->fTs[oIndex].fDone;
connections += oIndex > 0 && !other->fTs[oIndex - 1].fDone;
}
// SkASSERT(!(connections & 1));
}
}
#endif
#if DEBUG_MARK_DONE
void debugShowNewWinding(const char* fun, const Span& span, int winding) {
const SkPoint& pt = xyAtT(&span);
SkDebugf("%s id=%d", fun, fID);
SkDebugf(" (%1.9g,%1.9g", fPts[0].fX, fPts[0].fY);
for (int vIndex = 1; vIndex <= fVerb; ++vIndex) {
SkDebugf(" %1.9g,%1.9g", fPts[vIndex].fX, fPts[vIndex].fY);
}
SkASSERT(&span == &span.fOther->fTs[span.fOtherIndex].fOther->
fTs[span.fOther->fTs[span.fOtherIndex].fOtherIndex]);
SkDebugf(") t=%1.9g [%d] (%1.9g,%1.9g) newWindSum=%d windSum=",
span.fT, span.fOther->fTs[span.fOtherIndex].fOtherIndex, pt.fX, pt.fY, winding);
if (span.fWindSum == SK_MinS32) {
SkDebugf("?");
} else {
SkDebugf("%d", span.fWindSum);
}
SkDebugf(" windValue=%d\n", span.fWindValue);
}
void debugShowNewWinding(const char* fun, const Span& span, int winding, int oppWinding) {
const SkPoint& pt = xyAtT(&span);
SkDebugf("%s id=%d", fun, fID);
SkDebugf(" (%1.9g,%1.9g", fPts[0].fX, fPts[0].fY);
for (int vIndex = 1; vIndex <= fVerb; ++vIndex) {
SkDebugf(" %1.9g,%1.9g", fPts[vIndex].fX, fPts[vIndex].fY);
}
SkASSERT(&span == &span.fOther->fTs[span.fOtherIndex].fOther->
fTs[span.fOther->fTs[span.fOtherIndex].fOtherIndex]);
SkDebugf(") t=%1.9g [%d] (%1.9g,%1.9g) newWindSum=%d newOppSum=%d oppSum=",
span.fT, span.fOther->fTs[span.fOtherIndex].fOtherIndex, pt.fX, pt.fY,
winding, oppWinding);
if (span.fOppSum == SK_MinS32) {
SkDebugf("?");
} else {
SkDebugf("%d", span.fOppSum);
}
SkDebugf(" windSum=");
if (span.fWindSum == SK_MinS32) {
SkDebugf("?");
} else {
SkDebugf("%d", span.fWindSum);
}
SkDebugf(" windValue=%d\n", span.fWindValue);
}
#endif
#if DEBUG_SORT
void debugShowSort(const char* fun, const SkTDArray<Angle*>& angles, int first,
const int contourWinding, const int oppContourWinding) const {
SkASSERT(angles[first]->segment() == this);
SkASSERT(angles.count() > 1);
int lastSum = contourWinding;
int oppLastSum = oppContourWinding;
const Angle* firstAngle = angles[first];
int windSum = lastSum - spanSign(firstAngle);
int oppoSign = oppSign(firstAngle);
int oppWindSum = oppLastSum - oppoSign;
SkDebugf("%s %s contourWinding=%d oppContourWinding=%d sign=%d\n", fun, __FUNCTION__,
contourWinding, oppContourWinding, spanSign(angles[first]));
int index = first;
bool firstTime = true;
do {
const Angle& angle = *angles[index];
const Segment& segment = *angle.segment();
int start = angle.start();
int end = angle.end();
const Span& sSpan = segment.fTs[start];
const Span& eSpan = segment.fTs[end];
const Span& mSpan = segment.fTs[SkMin32(start, end)];
bool opp = segment.fOperand ^ fOperand;
if (!firstTime) {
oppoSign = segment.oppSign(&angle);
if (opp) {
oppLastSum = oppWindSum;
oppWindSum -= segment.spanSign(&angle);
if (oppoSign) {
lastSum = windSum;
windSum -= oppoSign;
}
} else {
lastSum = windSum;
windSum -= segment.spanSign(&angle);
if (oppoSign) {
oppLastSum = oppWindSum;
oppWindSum -= oppoSign;
}
}
}
SkDebugf("%s [%d] %sid=%d %s start=%d (%1.9g,%,1.9g) end=%d (%1.9g,%,1.9g)"
" sign=%d windValue=%d windSum=",
__FUNCTION__, index, angle.unsortable() ? "*** UNSORTABLE *** " : "",
segment.fID, kLVerbStr[segment.fVerb],
start, segment.xAtT(&sSpan), segment.yAtT(&sSpan), end,
segment.xAtT(&eSpan), segment.yAtT(&eSpan), angle.sign(),
mSpan.fWindValue);
if (mSpan.fWindSum == SK_MinS32) {
SkDebugf("?");
} else {
SkDebugf("%d", mSpan.fWindSum);
}
int last, wind;
if (opp) {
last = oppLastSum;
wind = oppWindSum;
} else {
last = lastSum;
wind = windSum;
}
if (!oppoSign) {
SkDebugf(" %d->%d (max=%d)", last, wind,
useInnerWinding(last, wind) ? wind : last);
} else {
SkDebugf(" %d->%d (%d->%d)", last, wind, opp ? lastSum : oppLastSum,
opp ? windSum : oppWindSum);
}
SkDebugf(" done=%d tiny=%d opp=%d\n", mSpan.fDone, mSpan.fTiny, opp);
#if false && DEBUG_ANGLE
angle.debugShow(segment.xyAtT(&sSpan));
#endif
++index;
if (index == angles.count()) {
index = 0;
}
if (firstTime) {
firstTime = false;
}
} while (index != first);
}
void debugShowSort(const char* fun, const SkTDArray<Angle*>& angles, int first) {
const Angle* firstAngle = angles[first];
const Segment* segment = firstAngle->segment();
int winding = segment->updateWinding(firstAngle);
int oppWinding = segment->updateOppWinding(firstAngle);
debugShowSort(fun, angles, first, winding, oppWinding);
}
#endif
#if DEBUG_WINDING
static char as_digit(int value) {
return value < 0 ? '?' : value <= 9 ? '0' + value : '+';
}
#endif
#if DEBUG_SHOW_WINDING
int debugShowWindingValues(int slotCount, int ofInterest) const {
if (!(1 << fID & ofInterest)) {
return 0;
}
int sum = 0;
SkTDArray<char> slots;
slots.setCount(slotCount * 2);
memset(slots.begin(), ' ', slotCount * 2);
for (int i = 0; i < fTs.count(); ++i) {
// if (!(1 << fTs[i].fOther->fID & ofInterest)) {
// continue;
// }
sum += fTs[i].fWindValue;
slots[fTs[i].fOther->fID - 1] = as_digit(fTs[i].fWindValue);
sum += fTs[i].fOppValue;
slots[slotCount + fTs[i].fOther->fID - 1] = as_digit(fTs[i].fOppValue);
}
SkDebugf("%s id=%2d %.*s | %.*s\n", __FUNCTION__, fID, slotCount, slots.begin(), slotCount,
slots.begin() + slotCount);
return sum;
}
#endif
private:
const SkPoint* fPts;
Bounds fBounds;
SkTDArray<Span> fTs; // two or more (always includes t=0 t=1)
// OPTIMIZATION: could pack donespans, verb, operand, xor into 1 int-sized value
int fDoneSpans; // quick check that segment is finished
// OPTIMIZATION: force the following to be byte-sized
SkPath::Verb fVerb;
bool fOperand;
bool fXor; // set if original contour had even-odd fill
bool fOppXor; // set if opposite operand had even-odd fill
#if DEBUG_DUMP
int fID;
#endif
};
class Contour;
struct Coincidence {
Contour* fContours[2];
int fSegments[2];
double fTs[2][2];
};
class Contour {
public:
Contour() {
reset();
#if DEBUG_DUMP
fID = ++gContourID;
#endif
}
bool operator<(const Contour& rh) const {
return fBounds.fTop == rh.fBounds.fTop
? fBounds.fLeft < rh.fBounds.fLeft
: fBounds.fTop < rh.fBounds.fTop;
}
void addCoincident(int index, Contour* other, int otherIndex,
const Intersections& ts, bool swap) {
Coincidence& coincidence = *fCoincidences.append();
coincidence.fContours[0] = this; // FIXME: no need to store
coincidence.fContours[1] = other;
coincidence.fSegments[0] = index;
coincidence.fSegments[1] = otherIndex;
if (fSegments[index].verb() == SkPath::kLine_Verb &&
other->fSegments[otherIndex].verb() == SkPath::kLine_Verb) {
// FIXME: coincident lines use legacy Ts instead of coincident Ts
coincidence.fTs[swap][0] = ts.fT[0][0];
coincidence.fTs[swap][1] = ts.fT[0][1];
coincidence.fTs[!swap][0] = ts.fT[1][0];
coincidence.fTs[!swap][1] = ts.fT[1][1];
} else if (fSegments[index].verb() == SkPath::kQuad_Verb &&
other->fSegments[otherIndex].verb() == SkPath::kQuad_Verb) {
coincidence.fTs[swap][0] = ts.fCoincidentT[0][0];
coincidence.fTs[swap][1] = ts.fCoincidentT[0][1];
coincidence.fTs[!swap][0] = ts.fCoincidentT[1][0];
coincidence.fTs[!swap][1] = ts.fCoincidentT[1][1];
}
}
void addCross(const Contour* crosser) {
#ifdef DEBUG_CROSS
for (int index = 0; index < fCrosses.count(); ++index) {
SkASSERT(fCrosses[index] != crosser);
}
#endif
*fCrosses.append() = crosser;
}
void addCubic(const SkPoint pts[4]) {
fSegments.push_back().addCubic(pts, fOperand, fXor);
fContainsCurves = true;
}
int addLine(const SkPoint pts[2]) {
fSegments.push_back().addLine(pts, fOperand, fXor);
return fSegments.count();
}
void addOtherT(int segIndex, int tIndex, double otherT, int otherIndex) {
fSegments[segIndex].addOtherT(tIndex, otherT, otherIndex);
}
int addQuad(const SkPoint pts[3]) {
fSegments.push_back().addQuad(pts, fOperand, fXor);
fContainsCurves = true;
return fSegments.count();
}
int addT(int segIndex, double newT, Contour* other, int otherIndex) {
containsIntercepts();
return fSegments[segIndex].addT(newT, &other->fSegments[otherIndex]);
}
int addUnsortableT(int segIndex, double newT, Contour* other, int otherIndex, bool start) {
return fSegments[segIndex].addUnsortableT(newT, &other->fSegments[otherIndex], start);
}
const Bounds& bounds() const {
return fBounds;
}
void complete() {
setBounds();
fContainsIntercepts = false;
}
void containsIntercepts() {
fContainsIntercepts = true;
}
bool crosses(const Contour* crosser) const {
for (int index = 0; index < fCrosses.count(); ++index) {
if (fCrosses[index] == crosser) {
return true;
}
}
return false;
}
bool done() const {
return fDone;
}
const SkPoint& end() const {
const Segment& segment = fSegments.back();
return segment.pts()[segment.verb()];
}
void findTooCloseToCall() {
int segmentCount = fSegments.count();
for (int sIndex = 0; sIndex < segmentCount; ++sIndex) {
fSegments[sIndex].findTooCloseToCall();
}
}
void fixOtherTIndex() {
int segmentCount = fSegments.count();
for (int sIndex = 0; sIndex < segmentCount; ++sIndex) {
fSegments[sIndex].fixOtherTIndex();
}
}
Segment* nonVerticalSegment(int& start, int& end) {
int segmentCount = fSortedSegments.count();
SkASSERT(segmentCount > 0);
for (int sortedIndex = fFirstSorted; sortedIndex < segmentCount; ++sortedIndex) {
Segment* testSegment = fSortedSegments[sortedIndex];
if (testSegment->done()) {
continue;
}
start = end = 0;
while (testSegment->nextCandidate(start, end)) {
if (!testSegment->isVertical(start, end)) {
return testSegment;
}
}
}
return NULL;
}
bool operand() const {
return fOperand;
}
void reset() {
fSegments.reset();
fBounds.set(SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, SK_ScalarMax);
fContainsCurves = fContainsIntercepts = fDone = false;
}
void resolveCoincidence(SkTDArray<Contour*>& contourList) {
int count = fCoincidences.count();
for (int index = 0; index < count; ++index) {
Coincidence& coincidence = fCoincidences[index];
SkASSERT(coincidence.fContours[0] == this);
int thisIndex = coincidence.fSegments[0];
Segment& thisOne = fSegments[thisIndex];
Contour* otherContour = coincidence.fContours[1];
int otherIndex = coincidence.fSegments[1];
Segment& other = otherContour->fSegments[otherIndex];
if ((thisOne.done() || other.done()) && thisOne.complete() && other.complete()) {
continue;
}
#if DEBUG_CONCIDENT
thisOne.debugShowTs();
other.debugShowTs();
#endif
double startT = coincidence.fTs[0][0];
double endT = coincidence.fTs[0][1];
bool cancelers = false;
if (startT > endT) {
SkTSwap<double>(startT, endT);
cancelers ^= true; // FIXME: just assign true
}
SkASSERT(!approximately_negative(endT - startT));
double oStartT = coincidence.fTs[1][0];
double oEndT = coincidence.fTs[1][1];
if (oStartT > oEndT) {
SkTSwap<double>(oStartT, oEndT);
cancelers ^= true;
}
SkASSERT(!approximately_negative(oEndT - oStartT));
bool opp = fOperand ^ otherContour->fOperand;
if (cancelers && !opp) {
// make sure startT and endT have t entries
if (startT > 0 || oEndT < 1
|| thisOne.isMissing(startT) || other.isMissing(oEndT)) {
thisOne.addTPair(startT, other, oEndT, true);
}
if (oStartT > 0 || endT < 1
|| thisOne.isMissing(endT) || other.isMissing(oStartT)) {
other.addTPair(oStartT, thisOne, endT, true);
}
if (!thisOne.done() && !other.done()) {
thisOne.addTCancel(startT, endT, other, oStartT, oEndT);
}
} else {
if (startT > 0 || oStartT > 0
|| thisOne.isMissing(startT) || other.isMissing(oStartT)) {
thisOne.addTPair(startT, other, oStartT, true);
}
if (endT < 1 || oEndT < 1
|| thisOne.isMissing(endT) || other.isMissing(oEndT)) {
other.addTPair(oEndT, thisOne, endT, true);
}
if (!thisOne.done() && !other.done()) {
thisOne.addTCoincident(startT, endT, other, oStartT, oEndT);
}
}
#if DEBUG_CONCIDENT
thisOne.debugShowTs();
other.debugShowTs();
#endif
#if DEBUG_SHOW_WINDING
debugShowWindingValues(contourList);
#endif
}
}
// first pass, add missing T values
// second pass, determine winding values of overlaps
void addCoincidentPoints() {
int count = fCoincidences.count();
for (int index = 0; index < count; ++index) {
Coincidence& coincidence = fCoincidences[index];
SkASSERT(coincidence.fContours[0] == this);
int thisIndex = coincidence.fSegments[0];
Segment& thisOne = fSegments[thisIndex];
Contour* otherContour = coincidence.fContours[1];
int otherIndex = coincidence.fSegments[1];
Segment& other = otherContour->fSegments[otherIndex];
if ((thisOne.done() || other.done()) && thisOne.complete() && other.complete()) {
// OPTIMIZATION: remove from array
continue;
}
#if DEBUG_CONCIDENT
thisOne.debugShowTs();
other.debugShowTs();
#endif
double startT = coincidence.fTs[0][0];
double endT = coincidence.fTs[0][1];
bool cancelers;
if ((cancelers = startT > endT)) {
SkTSwap<double>(startT, endT);
}
SkASSERT(!approximately_negative(endT - startT));
double oStartT = coincidence.fTs[1][0];
double oEndT = coincidence.fTs[1][1];
if (oStartT > oEndT) {
SkTSwap<double>(oStartT, oEndT);
cancelers ^= true;
}
SkASSERT(!approximately_negative(oEndT - oStartT));
bool opp = fOperand ^ otherContour->fOperand;
if (cancelers && !opp) {
// make sure startT and endT have t entries
if (startT > 0 || oEndT < 1
|| thisOne.isMissing(startT) || other.isMissing(oEndT)) {
thisOne.addTPair(startT, other, oEndT, true);
}
if (oStartT > 0 || endT < 1
|| thisOne.isMissing(endT) || other.isMissing(oStartT)) {
other.addTPair(oStartT, thisOne, endT, true);
}
} else {
if (startT > 0 || oStartT > 0
|| thisOne.isMissing(startT) || other.isMissing(oStartT)) {
thisOne.addTPair(startT, other, oStartT, true);
}
if (endT < 1 || oEndT < 1
|| thisOne.isMissing(endT) || other.isMissing(oEndT)) {
other.addTPair(oEndT, thisOne, endT, true);
}
}
#if DEBUG_CONCIDENT
thisOne.debugShowTs();
other.debugShowTs();
#endif
}
}
void calcCoincidentWinding() {
int count = fCoincidences.count();
for (int index = 0; index < count; ++index) {
Coincidence& coincidence = fCoincidences[index];
SkASSERT(coincidence.fContours[0] == this);
int thisIndex = coincidence.fSegments[0];
Segment& thisOne = fSegments[thisIndex];
if (thisOne.done()) {
continue;
}
Contour* otherContour = coincidence.fContours[1];
int otherIndex = coincidence.fSegments[1];
Segment& other = otherContour->fSegments[otherIndex];
if (other.done()) {
continue;
}
double startT = coincidence.fTs[0][0];
double endT = coincidence.fTs[0][1];
bool cancelers;
if ((cancelers = startT > endT)) {
SkTSwap<double>(startT, endT);
}
SkASSERT(!approximately_negative(endT - startT));
double oStartT = coincidence.fTs[1][0];
double oEndT = coincidence.fTs[1][1];
if (oStartT > oEndT) {
SkTSwap<double>(oStartT, oEndT);
cancelers ^= true;
}
SkASSERT(!approximately_negative(oEndT - oStartT));
bool opp = fOperand ^ otherContour->fOperand;
if (cancelers && !opp) {
// make sure startT and endT have t entries
if (!thisOne.done() && !other.done()) {
thisOne.addTCancel(startT, endT, other, oStartT, oEndT);
}
} else {
if (!thisOne.done() && !other.done()) {
thisOne.addTCoincident(startT, endT, other, oStartT, oEndT);
}
}
#if DEBUG_CONCIDENT
thisOne.debugShowTs();
other.debugShowTs();
#endif
}
}
SkTArray<Segment>& segments() {
return fSegments;
}
void setOperand(bool isOp) {
fOperand = isOp;
}
void setOppXor(bool isOppXor) {
fOppXor = isOppXor;
int segmentCount = fSegments.count();
for (int test = 0; test < segmentCount; ++test) {
fSegments[test].setOppXor(isOppXor);
}
}
void setXor(bool isXor) {
fXor = isXor;
}
void sortSegments() {
int segmentCount = fSegments.count();
fSortedSegments.setReserve(segmentCount);
for (int test = 0; test < segmentCount; ++test) {
*fSortedSegments.append() = &fSegments[test];
}
QSort<Segment>(fSortedSegments.begin(), fSortedSegments.end() - 1);
fFirstSorted = 0;
}
const SkPoint& start() const {
return fSegments.front().pts()[0];
}
void toPath(PathWrapper& path) const {
int segmentCount = fSegments.count();
const SkPoint& pt = fSegments.front().pts()[0];
path.deferredMove(pt);
for (int test = 0; test < segmentCount; ++test) {
fSegments[test].addCurveTo(0, 1, path, true);
}
path.close();
}
void toPartialBackward(PathWrapper& path) const {
int segmentCount = fSegments.count();
for (int test = segmentCount - 1; test >= 0; --test) {
fSegments[test].addCurveTo(1, 0, path, true);
}
}
void toPartialForward(PathWrapper& path) const {
int segmentCount = fSegments.count();
for (int test = 0; test < segmentCount; ++test) {
fSegments[test].addCurveTo(0, 1, path, true);
}
}
void topSortableSegment(const SkPoint& topLeft, SkPoint& bestXY, Segment*& topStart) {
int segmentCount = fSortedSegments.count();
SkASSERT(segmentCount > 0);
int sortedIndex = fFirstSorted;
fDone = true; // may be cleared below
for ( ; sortedIndex < segmentCount; ++sortedIndex) {
Segment* testSegment = fSortedSegments[sortedIndex];
if (testSegment->done()) {
if (sortedIndex == fFirstSorted) {
++fFirstSorted;
}
continue;
}
fDone = false;
SkPoint testXY;
testSegment->activeLeftTop(testXY);
if (topStart) {
if (testXY.fY < topLeft.fY) {
continue;
}
if (testXY.fY == topLeft.fY && testXY.fX < topLeft.fX) {
continue;
}
if (bestXY.fY < testXY.fY) {
continue;
}
if (bestXY.fY == testXY.fY && bestXY.fX < testXY.fX) {
continue;
}
}
topStart = testSegment;
bestXY = testXY;
}
}
Segment* undoneSegment(int& start, int& end) {
int segmentCount = fSegments.count();
for (int test = 0; test < segmentCount; ++test) {
Segment* testSegment = &fSegments[test];
if (testSegment->done()) {
continue;
}
testSegment->undoneSpan(start, end);
return testSegment;
}
return NULL;
}
int updateSegment(int index, const SkPoint* pts) {
Segment& segment = fSegments[index];
segment.updatePts(pts);
return segment.verb() + 1;
}
#if DEBUG_TEST
SkTArray<Segment>& debugSegments() {
return fSegments;
}
#endif
#if DEBUG_DUMP
void dump() {
int i;
const char className[] = "Contour";
const int tab = 4;
SkDebugf("%s %p (contour=%d)\n", className, this, fID);
for (i = 0; i < fSegments.count(); ++i) {
SkDebugf("%*s.fSegments[%d]:\n", tab + sizeof(className),
className, i);
fSegments[i].dump();
}
SkDebugf("%*s.fBounds=(l:%1.9g, t:%1.9g r:%1.9g, b:%1.9g)\n",
tab + sizeof(className), className,
fBounds.fLeft, fBounds.fTop,
fBounds.fRight, fBounds.fBottom);
SkDebugf("%*s.fContainsIntercepts=%d\n", tab + sizeof(className),
className, fContainsIntercepts);
SkDebugf("%*s.fContainsCurves=%d\n", tab + sizeof(className),
className, fContainsCurves);
}
#endif
#if DEBUG_ACTIVE_SPANS
void debugShowActiveSpans() {
for (int index = 0; index < fSegments.count(); ++index) {
fSegments[index].debugShowActiveSpans();
}
}
void validateActiveSpans() {
for (int index = 0; index < fSegments.count(); ++index) {
fSegments[index].validateActiveSpans();
}
}
#endif
#if DEBUG_SHOW_WINDING
int debugShowWindingValues(int totalSegments, int ofInterest) {
int count = fSegments.count();
int sum = 0;
for (int index = 0; index < count; ++index) {
sum += fSegments[index].debugShowWindingValues(totalSegments, ofInterest);
}
// SkDebugf("%s sum=%d\n", __FUNCTION__, sum);
return sum;
}
static void debugShowWindingValues(SkTDArray<Contour*>& contourList) {
// int ofInterest = 1 << 1 | 1 << 5 | 1 << 9 | 1 << 13;
// int ofInterest = 1 << 4 | 1 << 8 | 1 << 12 | 1 << 16;
int ofInterest = 1 << 5 | 1 << 8;
int total = 0;
int index;
for (index = 0; index < contourList.count(); ++index) {
total += contourList[index]->segments().count();
}
int sum = 0;
for (index = 0; index < contourList.count(); ++index) {
sum += contourList[index]->debugShowWindingValues(total, ofInterest);
}
// SkDebugf("%s total=%d\n", __FUNCTION__, sum);
}
#endif
protected:
void setBounds() {
int count = fSegments.count();
if (count == 0) {
SkDebugf("%s empty contour\n", __FUNCTION__);
SkASSERT(0);
// FIXME: delete empty contour?
return;
}
fBounds = fSegments.front().bounds();
for (int index = 1; index < count; ++index) {
fBounds.add(fSegments[index].bounds());
}
}
private:
SkTArray<Segment> fSegments;
SkTDArray<Segment*> fSortedSegments;
int fFirstSorted;
SkTDArray<Coincidence> fCoincidences;
SkTDArray<const Contour*> fCrosses;
Bounds fBounds;
bool fContainsIntercepts;
bool fContainsCurves;
bool fDone;
bool fOperand; // true for the second argument to a binary operator
bool fXor;
bool fOppXor;
#if DEBUG_DUMP
int fID;
#endif
};
class EdgeBuilder {
public:
EdgeBuilder(const PathWrapper& path, SkTArray<Contour>& contours)
: fPath(path.nativePath())
, fContours(contours)
{
init();
}
EdgeBuilder(const SkPath& path, SkTArray<Contour>& contours)
: fPath(&path)
, fContours(contours)
{
init();
}
void init() {
fCurrentContour = NULL;
fOperand = false;
fXorMask[0] = fXorMask[1] = (fPath->getFillType() & 1) ? kEvenOdd_Mask : kWinding_Mask;
#if DEBUG_DUMP
gContourID = 0;
gSegmentID = 0;
#endif
fSecondHalf = preFetch();
}
void addOperand(const SkPath& path) {
SkASSERT(fPathVerbs.count() > 0 && fPathVerbs.end()[-1] == SkPath::kDone_Verb);
fPathVerbs.pop();
fPath = &path;
fXorMask[1] = (fPath->getFillType() & 1) ? kEvenOdd_Mask : kWinding_Mask;
preFetch();
}
void finish() {
walk();
complete();
if (fCurrentContour && !fCurrentContour->segments().count()) {
fContours.pop_back();
}
// correct pointers in contours since fReducePts may have moved as it grew
int cIndex = 0;
int extraCount = fExtra.count();
SkASSERT(extraCount == 0 || fExtra[0] == -1);
int eIndex = 0;
int rIndex = 0;
while (++eIndex < extraCount) {
int offset = fExtra[eIndex];
if (offset < 0) {
++cIndex;
continue;
}
fCurrentContour = &fContours[cIndex];
rIndex += fCurrentContour->updateSegment(offset - 1,
&fReducePts[rIndex]);
}
fExtra.reset(); // we're done with this
}
ShapeOpMask xorMask() const {
return fXorMask[fOperand];
}
protected:
void complete() {
if (fCurrentContour && fCurrentContour->segments().count()) {
fCurrentContour->complete();
fCurrentContour = NULL;
}
}
// FIXME:remove once we can access path pts directly
int preFetch() {
SkPath::RawIter iter(*fPath); // FIXME: access path directly when allowed
SkPoint pts[4];
SkPath::Verb verb;
do {
verb = iter.next(pts);
*fPathVerbs.append() = verb;
if (verb == SkPath::kMove_Verb) {
*fPathPts.append() = pts[0];
} else if (verb >= SkPath::kLine_Verb && verb <= SkPath::kCubic_Verb) {
fPathPts.append(verb, &pts[1]);
}
} while (verb != SkPath::kDone_Verb);
return fPathVerbs.count() - 1;
}
void walk() {
SkPath::Verb reducedVerb;
uint8_t* verbPtr = fPathVerbs.begin();
uint8_t* endOfFirstHalf = &verbPtr[fSecondHalf];
const SkPoint* pointsPtr = fPathPts.begin();
const SkPoint* finalCurveStart = NULL;
const SkPoint* finalCurveEnd = NULL;
SkPath::Verb verb;
while ((verb = (SkPath::Verb) *verbPtr++) != SkPath::kDone_Verb) {
switch (verb) {
case SkPath::kMove_Verb:
complete();
if (!fCurrentContour) {
fCurrentContour = fContours.push_back_n(1);
fCurrentContour->setOperand(fOperand);
fCurrentContour->setXor(fXorMask[fOperand] == kEvenOdd_Mask);
*fExtra.append() = -1; // start new contour
}
finalCurveEnd = pointsPtr++;
goto nextVerb;
case SkPath::kLine_Verb:
// skip degenerate points
if (pointsPtr[-1].fX != pointsPtr[0].fX
|| pointsPtr[-1].fY != pointsPtr[0].fY) {
fCurrentContour->addLine(&pointsPtr[-1]);
}
break;
case SkPath::kQuad_Verb:
reducedVerb = QuadReduceOrder(&pointsPtr[-1], fReducePts);
if (reducedVerb == 0) {
break; // skip degenerate points
}
if (reducedVerb == 1) {
*fExtra.append() =
fCurrentContour->addLine(fReducePts.end() - 2);
break;
}
fCurrentContour->addQuad(&pointsPtr[-1]);
break;
case SkPath::kCubic_Verb:
reducedVerb = CubicReduceOrder(&pointsPtr[-1], fReducePts);
if (reducedVerb == 0) {
break; // skip degenerate points
}
if (reducedVerb == 1) {
*fExtra.append() =
fCurrentContour->addLine(fReducePts.end() - 2);
break;
}
if (reducedVerb == 2) {
*fExtra.append() =
fCurrentContour->addQuad(fReducePts.end() - 3);
break;
}
fCurrentContour->addCubic(&pointsPtr[-1]);
break;
case SkPath::kClose_Verb:
SkASSERT(fCurrentContour);
if (finalCurveStart && finalCurveEnd
&& *finalCurveStart != *finalCurveEnd) {
*fReducePts.append() = *finalCurveStart;
*fReducePts.append() = *finalCurveEnd;
*fExtra.append() =
fCurrentContour->addLine(fReducePts.end() - 2);
}
complete();
goto nextVerb;
default:
SkDEBUGFAIL("bad verb");
return;
}
finalCurveStart = &pointsPtr[verb - 1];
pointsPtr += verb;
SkASSERT(fCurrentContour);
nextVerb:
if (verbPtr == endOfFirstHalf) {
fOperand = true;
}
}
}
private:
const SkPath* fPath;
SkTDArray<SkPoint> fPathPts; // FIXME: point directly to path pts instead
SkTDArray<uint8_t> fPathVerbs; // FIXME: remove
Contour* fCurrentContour;
SkTArray<Contour>& fContours;
SkTDArray<SkPoint> fReducePts; // segments created on the fly
SkTDArray<int> fExtra; // -1 marks new contour, > 0 offsets into contour
ShapeOpMask fXorMask[2];
int fSecondHalf;
bool fOperand;
};
class Work {
public:
enum SegmentType {
kHorizontalLine_Segment = -1,
kVerticalLine_Segment = 0,
kLine_Segment = SkPath::kLine_Verb,
kQuad_Segment = SkPath::kQuad_Verb,
kCubic_Segment = SkPath::kCubic_Verb,
};
void addCoincident(Work& other, const Intersections& ts, bool swap) {
fContour->addCoincident(fIndex, other.fContour, other.fIndex, ts, swap);
}
// FIXME: does it make sense to write otherIndex now if we're going to
// fix it up later?
void addOtherT(int index, double otherT, int otherIndex) {
fContour->addOtherT(fIndex, index, otherT, otherIndex);
}
// Avoid collapsing t values that are close to the same since
// we walk ts to describe consecutive intersections. Since a pair of ts can
// be nearly equal, any problems caused by this should be taken care
// of later.
// On the edge or out of range values are negative; add 2 to get end
int addT(double newT, const Work& other) {
return fContour->addT(fIndex, newT, other.fContour, other.fIndex);
}
int addUnsortableT(double newT, const Work& other, bool start) {
return fContour->addUnsortableT(fIndex, newT, other.fContour, other.fIndex, start);
}
bool advance() {
return ++fIndex < fLast;
}
SkScalar bottom() const {
return bounds().fBottom;
}
const Bounds& bounds() const {
return fContour->segments()[fIndex].bounds();
}
#if !APPROXIMATE_CUBICS
const SkPoint* cubic() const {
return fCubic;
}
#endif
void init(Contour* contour) {
fContour = contour;
fIndex = 0;
fLast = contour->segments().count();
}
bool isAdjacent(const Work& next) {
return fContour == next.fContour && fIndex + 1 == next.fIndex;
}
bool isFirstLast(const Work& next) {
return fContour == next.fContour && fIndex == 0
&& next.fIndex == fLast - 1;
}
SkScalar left() const {
return bounds().fLeft;
}
#if !APPROXIMATE_CUBICS
void promoteToCubic() {
fCubic[0] = pts()[0];
fCubic[2] = pts()[1];
fCubic[3] = pts()[2];
fCubic[1].fX = (fCubic[0].fX + fCubic[2].fX * 2) / 3;
fCubic[1].fY = (fCubic[0].fY + fCubic[2].fY * 2) / 3;
fCubic[2].fX = (fCubic[3].fX + fCubic[2].fX * 2) / 3;
fCubic[2].fY = (fCubic[3].fY + fCubic[2].fY * 2) / 3;
}
#endif
const SkPoint* pts() const {
return fContour->segments()[fIndex].pts();
}
SkScalar right() const {
return bounds().fRight;
}
ptrdiff_t segmentIndex() const {
return fIndex;
}
SegmentType segmentType() const {
const Segment& segment = fContour->segments()[fIndex];
SegmentType type = (SegmentType) segment.verb();
if (type != kLine_Segment) {
return type;
}
if (segment.isHorizontal()) {
return kHorizontalLine_Segment;
}
if (segment.isVertical()) {
return kVerticalLine_Segment;
}
return kLine_Segment;
}
bool startAfter(const Work& after) {
fIndex = after.fIndex;
return advance();
}
SkScalar top() const {
return bounds().fTop;
}
SkPath::Verb verb() const {
return fContour->segments()[fIndex].verb();
}
SkScalar x() const {
return bounds().fLeft;
}
bool xFlipped() const {
return x() != pts()[0].fX;
}
SkScalar y() const {
return bounds().fTop;
}
bool yFlipped() const {
return y() != pts()[0].fY;
}
protected:
Contour* fContour;
#if !APPROXIMATE_CUBICS
SkPoint fCubic[4];
#endif
int fIndex;
int fLast;
};
#if DEBUG_ADD_INTERSECTING_TS
static void debugShowLineIntersection(int pts, const Work& wt,
const Work& wn, const double wtTs[2], const double wnTs[2]) {
return;
if (!pts) {
SkDebugf("%s no intersect (%1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g %1.9g,%1.9g)\n",
__FUNCTION__, wt.pts()[0].fX, wt.pts()[0].fY,
wt.pts()[1].fX, wt.pts()[1].fY, wn.pts()[0].fX, wn.pts()[0].fY,
wn.pts()[1].fX, wn.pts()[1].fY);
return;
}
SkPoint wtOutPt, wnOutPt;
LineXYAtT(wt.pts(), wtTs[0], &wtOutPt);
LineXYAtT(wn.pts(), wnTs[0], &wnOutPt);
SkDebugf("%s wtTs[0]=%1.9g (%1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
__FUNCTION__,
wtTs[0], wt.pts()[0].fX, wt.pts()[0].fY,
wt.pts()[1].fX, wt.pts()[1].fY, wtOutPt.fX, wtOutPt.fY);
if (pts == 2) {
SkDebugf(" wtTs[1]=%1.9g", wtTs[1]);
}
SkDebugf(" wnTs[0]=%g (%1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
wnTs[0], wn.pts()[0].fX, wn.pts()[0].fY,
wn.pts()[1].fX, wn.pts()[1].fY, wnOutPt.fX, wnOutPt.fY);
if (pts == 2) {
SkDebugf(" wnTs[1]=%1.9g", wnTs[1]);
}
SkDebugf("\n");
}
static void debugShowQuadLineIntersection(int pts, const Work& wt,
const Work& wn, const double wtTs[2], const double wnTs[2]) {
if (!pts) {
SkDebugf("%s no intersect (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g)"
" (%1.9g,%1.9g %1.9g,%1.9g)\n",
__FUNCTION__, wt.pts()[0].fX, wt.pts()[0].fY,
wt.pts()[1].fX, wt.pts()[1].fY, wt.pts()[2].fX, wt.pts()[2].fY,
wn.pts()[0].fX, wn.pts()[0].fY, wn.pts()[1].fX, wn.pts()[1].fY);
return;
}
SkPoint wtOutPt, wnOutPt;
QuadXYAtT(wt.pts(), wtTs[0], &wtOutPt);
LineXYAtT(wn.pts(), wnTs[0], &wnOutPt);
SkDebugf("%s wtTs[0]=%1.9g (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
__FUNCTION__,
wtTs[0], wt.pts()[0].fX, wt.pts()[0].fY,
wt.pts()[1].fX, wt.pts()[1].fY, wt.pts()[2].fX, wt.pts()[2].fY,
wtOutPt.fX, wtOutPt.fY);
if (pts == 2) {
QuadXYAtT(wt.pts(), wtTs[1], &wtOutPt);
SkDebugf(" wtTs[1]=%1.9g (%1.9g,%1.9g)", wtTs[1], wtOutPt.fX, wtOutPt.fY);
}
SkDebugf(" wnTs[0]=%g (%1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
wnTs[0], wn.pts()[0].fX, wn.pts()[0].fY,
wn.pts()[1].fX, wn.pts()[1].fY, wnOutPt.fX, wnOutPt.fY);
if (pts == 2) {
LineXYAtT(wn.pts(), wnTs[1], &wnOutPt);
SkDebugf(" wnTs[1]=%1.9g (%1.9g,%1.9g)", wnTs[1], wnOutPt.fX, wnOutPt.fY);
}
SkDebugf("\n");
}
// FIXME: show more than two intersection points
static void debugShowQuadIntersection(int pts, const Work& wt,
const Work& wn, const double wtTs[2], const double wnTs[2]) {
if (!pts) {
SkDebugf("%s no intersect (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g)"
" (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g)\n",
__FUNCTION__, wt.pts()[0].fX, wt.pts()[0].fY,
wt.pts()[1].fX, wt.pts()[1].fY, wt.pts()[2].fX, wt.pts()[2].fY,
wn.pts()[0].fX, wn.pts()[0].fY, wn.pts()[1].fX, wn.pts()[1].fY,
wn.pts()[2].fX, wn.pts()[2].fY );
return;
}
SkPoint wtOutPt, wnOutPt;
QuadXYAtT(wt.pts(), wtTs[0], &wtOutPt);
QuadXYAtT(wn.pts(), wnTs[0], &wnOutPt);
SkDebugf("%s wtTs[0]=%1.9g (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
__FUNCTION__,
wtTs[0], wt.pts()[0].fX, wt.pts()[0].fY,
wt.pts()[1].fX, wt.pts()[1].fY, wt.pts()[2].fX, wt.pts()[2].fY,
wtOutPt.fX, wtOutPt.fY);
if (pts == 2) {
SkDebugf(" wtTs[1]=%1.9g", wtTs[1]);
}
SkDebugf(" wnTs[0]=%g (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
wnTs[0], wn.pts()[0].fX, wn.pts()[0].fY,
wn.pts()[1].fX, wn.pts()[1].fY, wn.pts()[2].fX, wn.pts()[2].fY,
wnOutPt.fX, wnOutPt.fY);
if (pts == 2) {
SkDebugf(" wnTs[1]=%1.9g", wnTs[1]);
}
SkDebugf("\n");
}
static void debugShowCubicLineIntersection(int pts, const Work& wt,
const Work& wn, const double wtTs[2], const double wnTs[2]) {
if (!pts) {
SkDebugf("%s no intersect (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g)"
" (%1.9g,%1.9g %1.9g,%1.9g)\n",
__FUNCTION__, wt.pts()[0].fX, wt.pts()[0].fY, wt.pts()[1].fX, wt.pts()[1].fY,
wt.pts()[2].fX, wt.pts()[2].fY, wt.pts()[3].fX, wt.pts()[3].fY,
wn.pts()[0].fX, wn.pts()[0].fY, wn.pts()[1].fX, wn.pts()[1].fY);
return;
}
SkPoint wtOutPt, wnOutPt;
CubicXYAtT(wt.pts(), wtTs[0], &wtOutPt);
LineXYAtT(wn.pts(), wnTs[0], &wnOutPt);
SkDebugf("%s wtTs[0]=%1.9g (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
__FUNCTION__,
wtTs[0], wt.pts()[0].fX, wt.pts()[0].fY, wt.pts()[1].fX, wt.pts()[1].fY,
wt.pts()[2].fX, wt.pts()[2].fY, wt.pts()[3].fX, wt.pts()[3].fY,
wtOutPt.fX, wtOutPt.fY);
if (pts == 2) {
CubicXYAtT(wt.pts(), wtTs[1], &wtOutPt);
SkDebugf(" wtTs[1]=%1.9g (%1.9g,%1.9g)", wtTs[1], wtOutPt.fX, wtOutPt.fY);
}
SkDebugf(" wnTs[0]=%g (%1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
wtTs[0], wn.pts()[0].fX, wn.pts()[0].fY, wn.pts()[1].fX, wn.pts()[1].fY,
wnOutPt.fX, wnOutPt.fY);
if (pts == 2) {
LineXYAtT(wn.pts(), wnTs[1], &wnOutPt);
SkDebugf(" wnTs[1]=%1.9g (%1.9g,%1.9g)", wnTs[1], wnOutPt.fX, wnOutPt.fY);
}
SkDebugf("\n");
}
// FIXME: show more than two intersection points
static void debugShowCubicQuadIntersection(int pts, const Work& wt,
const Work& wn, const double wtTs[2], const double wnTs[2]) {
if (!pts) {
SkDebugf("%s no intersect (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g)"
" (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g)\n",
__FUNCTION__, wt.pts()[0].fX, wt.pts()[0].fY, wt.pts()[1].fX, wt.pts()[1].fY,
wt.pts()[2].fX, wt.pts()[2].fY, wt.pts()[3].fX, wt.pts()[3].fY,
wn.pts()[0].fX, wn.pts()[0].fY, wn.pts()[1].fX, wn.pts()[1].fY,
wn.pts()[2].fX, wn.pts()[2].fY );
return;
}
SkPoint wtOutPt, wnOutPt;
CubicXYAtT(wt.pts(), wtTs[0], &wtOutPt);
QuadXYAtT(wn.pts(), wnTs[0], &wnOutPt);
SkDebugf("%s wtTs[0]=%1.9g (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
__FUNCTION__,
wtTs[0], wt.pts()[0].fX, wt.pts()[0].fY, wt.pts()[1].fX, wt.pts()[1].fY,
wt.pts()[2].fX, wt.pts()[2].fY, wt.pts()[3].fX, wt.pts()[3].fY,
wtOutPt.fX, wtOutPt.fY);
if (pts == 2) {
SkDebugf(" wtTs[1]=%1.9g", wtTs[1]);
}
SkDebugf(" wnTs[0]=%g (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
wnTs[0], wn.pts()[0].fX, wn.pts()[0].fY, wn.pts()[1].fX, wn.pts()[1].fY,
wn.pts()[2].fX, wn.pts()[2].fY,
wnOutPt.fX, wnOutPt.fY);
if (pts == 2) {
SkDebugf(" wnTs[1]=%1.9g", wnTs[1]);
}
SkDebugf("\n");
}
// FIXME: show more than two intersection points
static void debugShowCubicIntersection(int pts, const Work& wt,
const Work& wn, const double wtTs[2], const double wnTs[2]) {
if (!pts) {
SkDebugf("%s no intersect (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g)"
" (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g)\n",
__FUNCTION__, wt.pts()[0].fX, wt.pts()[0].fY, wt.pts()[1].fX, wt.pts()[1].fY,
wt.pts()[2].fX, wt.pts()[2].fY, wt.pts()[3].fX, wt.pts()[3].fY,
wn.pts()[0].fX, wn.pts()[0].fY, wn.pts()[1].fX, wn.pts()[1].fY,
wn.pts()[2].fX, wn.pts()[2].fY, wn.pts()[3].fX, wn.pts()[3].fY );
return;
}
SkPoint wtOutPt, wnOutPt;
CubicXYAtT(wt.pts(), wtTs[0], &wtOutPt);
CubicXYAtT(wn.pts(), wnTs[0], &wnOutPt);
SkDebugf("%s wtTs[0]=%1.9g (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
__FUNCTION__,
wtTs[0], wt.pts()[0].fX, wt.pts()[0].fY, wt.pts()[1].fX, wt.pts()[1].fY,
wt.pts()[2].fX, wt.pts()[2].fY, wt.pts()[3].fX, wt.pts()[3].fY,
wtOutPt.fX, wtOutPt.fY);
if (pts == 2) {
SkDebugf(" wtTs[1]=%1.9g", wtTs[1]);
}
SkDebugf(" wnTs[0]=%g (%1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g %1.9g,%1.9g) (%1.9g,%1.9g)",
wnTs[0], wn.pts()[0].fX, wn.pts()[0].fY, wn.pts()[1].fX, wn.pts()[1].fY,
wn.pts()[2].fX, wn.pts()[2].fY, wn.pts()[3].fX, wn.pts()[3].fY,
wnOutPt.fX, wnOutPt.fY);
if (pts == 2) {
SkDebugf(" wnTs[1]=%1.9g", wnTs[1]);
}
SkDebugf("\n");
}
#else
static void debugShowLineIntersection(int , const Work& ,
const Work& , const double [2], const double [2]) {
}
static void debugShowQuadLineIntersection(int , const Work& ,
const Work& , const double [2], const double [2]) {
}
static void debugShowQuadIntersection(int , const Work& ,
const Work& , const double [2], const double [2]) {
}
static void debugShowCubicLineIntersection(int , const Work& ,
const Work& , const double [2], const double [2]) {
}
static void debugShowCubicQuadIntersection(int , const Work& ,
const Work& , const double [2], const double [2]) {
}
static void debugShowCubicIntersection(int , const Work& ,
const Work& , const double [2], const double [2]) {
}
#endif
static bool addIntersectTs(Contour* test, Contour* next) {
if (test != next) {
if (test->bounds().fBottom < next->bounds().fTop) {
return false;
}
if (!Bounds::Intersects(test->bounds(), next->bounds())) {
return true;
}
}
Work wt;
wt.init(test);
bool foundCommonContour = test == next;
do {
Work wn;
wn.init(next);
if (test == next && !wn.startAfter(wt)) {
continue;
}
do {
if (!Bounds::Intersects(wt.bounds(), wn.bounds())) {
continue;
}
int pts;
Intersections ts;
bool swap = false;
switch (wt.segmentType()) {
case Work::kHorizontalLine_Segment:
swap = true;
switch (wn.segmentType()) {
case Work::kHorizontalLine_Segment:
case Work::kVerticalLine_Segment:
case Work::kLine_Segment: {
pts = HLineIntersect(wn.pts(), wt.left(),
wt.right(), wt.y(), wt.xFlipped(), ts);
debugShowLineIntersection(pts, wt, wn,
ts.fT[1], ts.fT[0]);
break;
}
case Work::kQuad_Segment: {
pts = HQuadIntersect(wn.pts(), wt.left(),
wt.right(), wt.y(), wt.xFlipped(), ts);
break;
}
case Work::kCubic_Segment: {
pts = HCubicIntersect(wn.pts(), wt.left(),
wt.right(), wt.y(), wt.xFlipped(), ts);
debugShowCubicLineIntersection(pts, wn, wt, ts.fT[0], ts.fT[1]);
break;
}
default:
SkASSERT(0);
}
break;
case Work::kVerticalLine_Segment:
swap = true;
switch (wn.segmentType()) {
case Work::kHorizontalLine_Segment:
case Work::kVerticalLine_Segment:
case Work::kLine_Segment: {
pts = VLineIntersect(wn.pts(), wt.top(),
wt.bottom(), wt.x(), wt.yFlipped(), ts);
debugShowLineIntersection(pts, wt, wn,
ts.fT[1], ts.fT[0]);
break;
}
case Work::kQuad_Segment: {
pts = VQuadIntersect(wn.pts(), wt.top(),
wt.bottom(), wt.x(), wt.yFlipped(), ts);
break;
}
case Work::kCubic_Segment: {
pts = VCubicIntersect(wn.pts(), wt.top(),
wt.bottom(), wt.x(), wt.yFlipped(), ts);
debugShowCubicLineIntersection(pts, wn, wt, ts.fT[0], ts.fT[1]);
break;
}
default:
SkASSERT(0);
}
break;
case Work::kLine_Segment:
switch (wn.segmentType()) {
case Work::kHorizontalLine_Segment:
pts = HLineIntersect(wt.pts(), wn.left(),
wn.right(), wn.y(), wn.xFlipped(), ts);
debugShowLineIntersection(pts, wt, wn,
ts.fT[1], ts.fT[0]);
break;
case Work::kVerticalLine_Segment:
pts = VLineIntersect(wt.pts(), wn.top(),
wn.bottom(), wn.x(), wn.yFlipped(), ts);
debugShowLineIntersection(pts, wt, wn,
ts.fT[1], ts.fT[0]);
break;
case Work::kLine_Segment: {
pts = LineIntersect(wt.pts(), wn.pts(), ts);
debugShowLineIntersection(pts, wt, wn,
ts.fT[1], ts.fT[0]);
break;
}
case Work::kQuad_Segment: {
swap = true;
pts = QuadLineIntersect(wn.pts(), wt.pts(), ts);
debugShowQuadLineIntersection(pts, wn, wt,
ts.fT[0], ts.fT[1]);
break;
}
case Work::kCubic_Segment: {
swap = true;
pts = CubicLineIntersect(wn.pts(), wt.pts(), ts);
debugShowCubicLineIntersection(pts, wn, wt, ts.fT[0], ts.fT[1]);
break;
}
default:
SkASSERT(0);
}
break;
case Work::kQuad_Segment:
switch (wn.segmentType()) {
case Work::kHorizontalLine_Segment:
pts = HQuadIntersect(wt.pts(), wn.left(),
wn.right(), wn.y(), wn.xFlipped(), ts);
break;
case Work::kVerticalLine_Segment:
pts = VQuadIntersect(wt.pts(), wn.top(),
wn.bottom(), wn.x(), wn.yFlipped(), ts);
break;
case Work::kLine_Segment: {
pts = QuadLineIntersect(wt.pts(), wn.pts(), ts);
debugShowQuadLineIntersection(pts, wt, wn,
ts.fT[0], ts.fT[1]);
break;
}
case Work::kQuad_Segment: {
pts = QuadIntersect(wt.pts(), wn.pts(), ts);
debugShowQuadIntersection(pts, wt, wn,
ts.fT[0], ts.fT[1]);
break;
}
case Work::kCubic_Segment: {
#if APPROXIMATE_CUBICS
swap = true;
pts = CubicQuadIntersect(wn.pts(), wt.pts(), ts);
debugShowCubicQuadIntersection(pts, wn, wt, ts.fT[0], ts.fT[1]);
#else
wt.promoteToCubic();
pts = CubicIntersect(wt.cubic(), wn.pts(), ts);
debugShowCubicIntersection(pts, wt, wn, ts.fT[0], ts.fT[1]);
#endif
break;
}
default:
SkASSERT(0);
}
break;
case Work::kCubic_Segment:
switch (wn.segmentType()) {
case Work::kHorizontalLine_Segment:
pts = HCubicIntersect(wt.pts(), wn.left(),
wn.right(), wn.y(), wn.xFlipped(), ts);
break;
case Work::kVerticalLine_Segment:
pts = VCubicIntersect(wt.pts(), wn.top(),
wn.bottom(), wn.x(), wn.yFlipped(), ts);
debugShowCubicLineIntersection(pts, wt, wn, ts.fT[0], ts.fT[1]);
break;
case Work::kLine_Segment: {
pts = CubicLineIntersect(wt.pts(), wn.pts(), ts);
debugShowCubicLineIntersection(pts, wt, wn, ts.fT[0], ts.fT[1]);
break;
}
case Work::kQuad_Segment: {
#if APPROXIMATE_CUBICS
pts = CubicQuadIntersect(wt.pts(), wn.pts(), ts);
debugShowCubicQuadIntersection(pts, wt, wn, ts.fT[0], ts.fT[1]);
#else
wn.promoteToCubic();
pts = CubicIntersect(wt.pts(), wn.cubic(), ts);
debugShowCubicIntersection(pts, wt, wn, ts.fT[0], ts.fT[1]);
#endif
break;
}
case Work::kCubic_Segment: {
pts = CubicIntersect(wt.pts(), wn.pts(), ts);
debugShowCubicIntersection(pts, wt, wn, ts.fT[0], ts.fT[1]);
break;
}
default:
SkASSERT(0);
}
break;
default:
SkASSERT(0);
}
if (!foundCommonContour && pts > 0) {
test->addCross(next);
next->addCross(test);
foundCommonContour = true;
}
// in addition to recording T values, record matching segment
if (ts.unsortable()) {
bool start = true;
for (int pt = 0; pt < ts.used(); ++pt) {
// FIXME: if unsortable, the other points to the original. This logic is
// untested downstream.
int testTAt = wt.addUnsortableT(ts.fT[swap][pt], wt, start);
wt.addOtherT(testTAt, ts.fT[swap][pt], testTAt);
testTAt = wn.addUnsortableT(ts.fT[!swap][pt], wn, start ^ ts.fFlip);
wn.addOtherT(testTAt, ts.fT[!swap][pt], testTAt);
start ^= true;
}
continue;
}
if (pts == 2) {
if (wn.segmentType() <= Work::kLine_Segment
&& wt.segmentType() <= Work::kLine_Segment) {
wt.addCoincident(wn, ts, swap);
continue;
}
if (wn.segmentType() == Work::kQuad_Segment
&& wt.segmentType() == Work::kQuad_Segment
&& ts.coincidentUsed() == 2) {
wt.addCoincident(wn, ts, swap);
continue;
}
}
for (int pt = 0; pt < pts; ++pt) {
SkASSERT(ts.fT[0][pt] >= 0 && ts.fT[0][pt] <= 1);
SkASSERT(ts.fT[1][pt] >= 0 && ts.fT[1][pt] <= 1);
int testTAt = wt.addT(ts.fT[swap][pt], wn);
int nextTAt = wn.addT(ts.fT[!swap][pt], wt);
wt.addOtherT(testTAt, ts.fT[!swap][pt ^ ts.fFlip], nextTAt);
wn.addOtherT(nextTAt, ts.fT[swap][pt ^ ts.fFlip], testTAt);
}
} while (wn.advance());
} while (wt.advance());
return true;
}
// resolve any coincident pairs found while intersecting, and
// see if coincidence is formed by clipping non-concident segments
static void coincidenceCheck(SkTDArray<Contour*>& contourList, int total) {
int contourCount = contourList.count();
#if ONE_PASS_COINCIDENCE_CHECK
for (int cIndex = 0; cIndex < contourCount; ++cIndex) {
Contour* contour = contourList[cIndex];
contour->resolveCoincidence(contourList);
}
#else
for (int cIndex = 0; cIndex < contourCount; ++cIndex) {
Contour* contour = contourList[cIndex];
contour->addCoincidentPoints();
}
for (int cIndex = 0; cIndex < contourCount; ++cIndex) {
Contour* contour = contourList[cIndex];
contour->calcCoincidentWinding();
}
#endif
for (int cIndex = 0; cIndex < contourCount; ++cIndex) {
Contour* contour = contourList[cIndex];
contour->findTooCloseToCall();
}
}
static int contourRangeCheckY(SkTDArray<Contour*>& contourList, Segment*& current, int& index,
int& endIndex, double& bestHit, SkScalar& bestDx, bool& tryAgain, double& mid, bool opp) {
SkPoint basePt;
double tAtMid = current->tAtMid(index, endIndex, mid);
current->xyAtT(tAtMid, basePt);
int contourCount = contourList.count();
SkScalar bestY = SK_ScalarMin;
Segment* bestSeg = NULL;
int bestTIndex;
bool bestOpp;
bool hitSomething = false;
for (int cTest = 0; cTest < contourCount; ++cTest) {
Contour* contour = contourList[cTest];
bool testOpp = contour->operand() ^ current->operand() ^ opp;
if (basePt.fY < contour->bounds().fTop) {
continue;
}
if (bestY > contour->bounds().fBottom) {
continue;
}
int segmentCount = contour->segments().count();
for (int test = 0; test < segmentCount; ++test) {
Segment* testSeg = &contour->segments()[test];
SkScalar testY = bestY;
double testHit;
int testTIndex = testSeg->crossedSpanY(basePt, testY, testHit, hitSomething, tAtMid,
testOpp, testSeg == current);
if (testTIndex < 0) {
if (testTIndex == SK_MinS32) {
hitSomething = true;
bestSeg = NULL;
goto abortContours; // vertical encountered, return and try different point
}
continue;
}
if (testSeg == current && current->betweenTs(index, testHit, endIndex)) {
double baseT = current->t(index);
double endT = current->t(endIndex);
double newMid = (testHit - baseT) / (endT - baseT);
#if DEBUG_WINDING
SkPoint midXY, newXY;
double midT = current->tAtMid(index, endIndex, mid);
current->xyAtT(midT, midXY);
double newMidT = current->tAtMid(index, endIndex, newMid);
current->xyAtT(newMidT, newXY);
SkDebugf("%s [%d] mid=%1.9g->%1.9g s=%1.9g (%1.9g,%1.9g) m=%1.9g (%1.9g,%1.9g)"
" n=%1.9g (%1.9g,%1.9g) e=%1.9g (%1.9g,%1.9g)\n", __FUNCTION__,
current->debugID(), mid, newMid,
baseT, current->xAtT(index), current->yAtT(index),
baseT + mid * (endT - baseT), midXY.fX, midXY.fY,
baseT + newMid * (endT - baseT), newXY.fX, newXY.fY,
endT, current->xAtT(endIndex), current->yAtT(endIndex));
#endif
mid = newMid * 2; // calling loop with divide by 2 before continuing
return SK_MinS32;
}
bestSeg = testSeg;
bestHit = testHit;
bestOpp = testOpp;
bestTIndex = testTIndex;
bestY = testY;
}
}
abortContours:
int result;
if (!bestSeg) {
result = hitSomething ? SK_MinS32 : 0;
} else {
if (bestSeg->windSum(bestTIndex) == SK_MinS32) {
current = bestSeg;
index = bestTIndex;
endIndex = bestSeg->nextSpan(bestTIndex, 1);
SkASSERT(index != endIndex && index >= 0 && endIndex >= 0);
tryAgain = true;
return 0;
}
result = bestSeg->windingAtT(bestHit, bestTIndex, bestOpp, bestDx);
SkASSERT(bestDx);
}
double baseT = current->t(index);
double endT = current->t(endIndex);
bestHit = baseT + mid * (endT - baseT);
return result;
}
static Segment* findUndone(SkTDArray<Contour*>& contourList, int& start, int& end) {
int contourCount = contourList.count();
Segment* result;
for (int cIndex = 0; cIndex < contourCount; ++cIndex) {
Contour* contour = contourList[cIndex];
result = contour->undoneSegment(start, end);
if (result) {
return result;
}
}
return NULL;
}
#define OLD_FIND_CHASE 1
static Segment* findChase(SkTDArray<Span*>& chase, int& tIndex, int& endIndex) {
while (chase.count()) {
Span* span;
chase.pop(&span);
const Span& backPtr = span->fOther->span(span->fOtherIndex);
Segment* segment = backPtr.fOther;
tIndex = backPtr.fOtherIndex;
SkTDArray<Angle> angles;
int done = 0;
if (segment->activeAngle(tIndex, done, angles)) {
Angle* last = angles.end() - 1;
tIndex = last->start();
endIndex = last->end();
#if TRY_ROTATE
*chase.insert(0) = span;
#else
*chase.append() = span;
#endif
return last->segment();
}
if (done == angles.count()) {
continue;
}
SkTDArray<Angle*> sorted;
bool sortable = Segment::SortAngles(angles, sorted);
int angleCount = sorted.count();
#if DEBUG_SORT
sorted[0]->segment()->debugShowSort(__FUNCTION__, sorted, 0, 0, 0);
#endif
if (!sortable) {
continue;
}
// find first angle, initialize winding to computed fWindSum
int firstIndex = -1;
const Angle* angle;
#if OLD_FIND_CHASE
int winding;
do {
angle = sorted[++firstIndex];
segment = angle->segment();
winding = segment->windSum(angle);
} while (winding == SK_MinS32);
int spanWinding = segment->spanSign(angle->start(), angle->end());
#if DEBUG_WINDING
SkDebugf("%s winding=%d spanWinding=%d\n",
__FUNCTION__, winding, spanWinding);
#endif
// turn span winding into contour winding
if (spanWinding * winding < 0) {
winding += spanWinding;
}
#if DEBUG_SORT
segment->debugShowSort(__FUNCTION__, sorted, firstIndex, winding, 0);
#endif
// we care about first sign and whether wind sum indicates this
// edge is inside or outside. Maybe need to pass span winding
// or first winding or something into this function?
// advance to first undone angle, then return it and winding
// (to set whether edges are active or not)
int nextIndex = firstIndex + 1;
int lastIndex = firstIndex != 0 ? firstIndex : angleCount;
angle = sorted[firstIndex];
winding -= angle->segment()->spanSign(angle);
#else
do {
angle = sorted[++firstIndex];
segment = angle->segment();
} while (segment->windSum(angle) == SK_MinS32);
#if DEBUG_SORT
segment->debugShowSort(__FUNCTION__, sorted, firstIndex);
#endif
int sumWinding = segment->updateWindingReverse(angle);
int nextIndex = firstIndex + 1;
int lastIndex = firstIndex != 0 ? firstIndex : angleCount;
Segment* first = NULL;
#endif
do {
SkASSERT(nextIndex != firstIndex);
if (nextIndex == angleCount) {
nextIndex = 0;
}
angle = sorted[nextIndex];
segment = angle->segment();
#if OLD_FIND_CHASE
int maxWinding = winding;
winding -= segment->spanSign(angle);
#if DEBUG_SORT
SkDebugf("%s id=%d maxWinding=%d winding=%d sign=%d\n", __FUNCTION__,
segment->debugID(), maxWinding, winding, angle->sign());
#endif
tIndex = angle->start();
endIndex = angle->end();
int lesser = SkMin32(tIndex, endIndex);
const Span& nextSpan = segment->span(lesser);
if (!nextSpan.fDone) {
#if 1
// FIXME: this be wrong? assign startWinding if edge is in
// same direction. If the direction is opposite, winding to
// assign is flipped sign or +/- 1?
if (useInnerWinding(maxWinding, winding)) {
maxWinding = winding;
}
segment->markAndChaseWinding(angle, maxWinding, 0);
#endif
break;
}
#else
int start = angle->start();
int end = angle->end();
int maxWinding;
segment->setUpWinding(start, end, maxWinding, sumWinding);
if (!segment->done(angle)) {
if (!first) {
first = segment;
tIndex = start;
endIndex = end;
}
(void) segment->markAngle(maxWinding, sumWinding, true, angle);
}
#endif
} while (++nextIndex != lastIndex);
#if TRY_ROTATE
*chase.insert(0) = span;
#else
*chase.append() = span;
#endif
return segment;
}
return NULL;
}
#if DEBUG_ACTIVE_SPANS
static void debugShowActiveSpans(SkTDArray<Contour*>& contourList) {
int index;
for (index = 0; index < contourList.count(); ++ index) {
contourList[index]->debugShowActiveSpans();
}
for (index = 0; index < contourList.count(); ++ index) {
contourList[index]->validateActiveSpans();
}
}
#endif
static Segment* findSortableTop(SkTDArray<Contour*>& contourList, int& index,
int& endIndex, SkPoint& topLeft, bool& unsortable, bool& done, bool onlySortable) {
Segment* result;
do {
SkPoint bestXY = {SK_ScalarMax, SK_ScalarMax};
int contourCount = contourList.count();
Segment* topStart = NULL;
done = true;
for (int cIndex = 0; cIndex < contourCount; ++cIndex) {
Contour* contour = contourList[cIndex];
if (contour->done()) {
continue;
}
const Bounds& bounds = contour->bounds();
if (bounds.fBottom < topLeft.fY) {
done = false;
continue;
}
if (bounds.fBottom == topLeft.fY && bounds.fRight < topLeft.fX) {
done = false;
continue;
}
contour->topSortableSegment(topLeft, bestXY, topStart);
if (!contour->done()) {
done = false;
}
}
if (!topStart) {
return NULL;
}
topLeft = bestXY;
result = topStart->findTop(index, endIndex, unsortable, onlySortable);
} while (!result);
return result;
}
static int rightAngleWinding(SkTDArray<Contour*>& contourList,
Segment*& current, int& index, int& endIndex, double& tHit, SkScalar& hitDx, bool& tryAgain,
bool opp) {
double test = 0.9;
int contourWinding;
do {
contourWinding = contourRangeCheckY(contourList, current, index, endIndex, tHit, hitDx,
tryAgain, test, opp);
if (contourWinding != SK_MinS32 || tryAgain) {
return contourWinding;
}
test /= 2;
} while (!approximately_negative(test));
SkASSERT(0); // should be OK to comment out, but interested when this hits
return contourWinding;
}
static void skipVertical(SkTDArray<Contour*>& contourList,
Segment*& current, int& index, int& endIndex) {
if (!current->isVertical(index, endIndex)) {
return;
}
int contourCount = contourList.count();
for (int cIndex = 0; cIndex < contourCount; ++cIndex) {
Contour* contour = contourList[cIndex];
if (contour->done()) {
continue;
}
current = contour->nonVerticalSegment(index, endIndex);
if (current) {
return;
}
}
}
static Segment* findSortableTop(SkTDArray<Contour*>& contourList, bool& firstContour, int& index,
int& endIndex, SkPoint& topLeft, bool& unsortable, bool& done, bool binary) {
Segment* current = findSortableTop(contourList, index, endIndex, topLeft, unsortable, done,
true);
if (!current) {
return NULL;
}
if (firstContour) {
current->initWinding(index, endIndex);
firstContour = false;
return current;
}
int minIndex = SkMin32(index, endIndex);
int sumWinding = current->windSum(minIndex);
if (sumWinding != SK_MinS32) {
return current;
}
sumWinding = current->computeSum(index, endIndex, binary);
if (sumWinding != SK_MinS32) {
return current;
}
int contourWinding;
int oppContourWinding = 0;
// the simple upward projection of the unresolved points hit unsortable angles
// shoot rays at right angles to the segment to find its winding, ignoring angle cases
bool tryAgain;
double tHit;
SkScalar hitDx = 0;
SkScalar hitOppDx = 0;
do {
// if current is vertical, find another candidate which is not
// if only remaining candidates are vertical, then they can be marked done
SkASSERT(index != endIndex && index >= 0 && endIndex >= 0);
skipVertical(contourList, current, index, endIndex);
SkASSERT(index != endIndex && index >= 0 && endIndex >= 0);
tryAgain = false;
contourWinding = rightAngleWinding(contourList, current, index, endIndex, tHit, hitDx,
tryAgain, false);
if (tryAgain) {
continue;
}
if (!binary) {
break;
}
oppContourWinding = rightAngleWinding(contourList, current, index, endIndex, tHit, hitOppDx,
tryAgain, true);
} while (tryAgain);
current->initWinding(index, endIndex, tHit, contourWinding, hitDx, oppContourWinding, hitOppDx);
return current;
}
// rewrite that abandons keeping local track of winding
static bool bridgeWinding(SkTDArray<Contour*>& contourList, PathWrapper& simple) {
bool firstContour = true;
bool unsortable = false;
bool topUnsortable = false;
SkPoint topLeft = {SK_ScalarMin, SK_ScalarMin};
do {
int index, endIndex;
bool topDone;
Segment* current = findSortableTop(contourList, firstContour, index, endIndex, topLeft,
topUnsortable, topDone, false);
if (!current) {
if (topUnsortable || !topDone) {
topUnsortable = false;
SkASSERT(topLeft.fX != SK_ScalarMin && topLeft.fY != SK_ScalarMin);
topLeft.fX = topLeft.fY = SK_ScalarMin;
continue;
}
break;
}
SkTDArray<Span*> chaseArray;
do {
if (current->activeWinding(index, endIndex)) {
do {
#if DEBUG_ACTIVE_SPANS
if (!unsortable && current->done()) {
debugShowActiveSpans(contourList);
}
#endif
SkASSERT(unsortable || !current->done());
int nextStart = index;
int nextEnd = endIndex;
Segment* next = current->findNextWinding(chaseArray, nextStart, nextEnd,
unsortable);
if (!next) {
if (!unsortable && simple.hasMove()
&& current->verb() != SkPath::kLine_Verb
&& !simple.isClosed()) {
current->addCurveTo(index, endIndex, simple, true);
SkASSERT(simple.isClosed());
}
break;
}
#if DEBUG_FLOW
SkDebugf("%s current id=%d from=(%1.9g,%1.9g) to=(%1.9g,%1.9g)\n", __FUNCTION__,
current->debugID(), current->xyAtT(index).fX, current->xyAtT(index).fY,
current->xyAtT(endIndex).fX, current->xyAtT(endIndex).fY);
#endif
current->addCurveTo(index, endIndex, simple, true);
current = next;
index = nextStart;
endIndex = nextEnd;
} while (!simple.isClosed() && (!unsortable
|| !current->done(SkMin32(index, endIndex))));
if (current->activeWinding(index, endIndex) && !simple.isClosed()) {
SkASSERT(unsortable);
int min = SkMin32(index, endIndex);
if (!current->done(min)) {
current->addCurveTo(index, endIndex, simple, true);
current->markDoneUnary(min);
}
}
simple.close();
} else {
Span* last = current->markAndChaseDoneUnary(index, endIndex);
if (last) {
*chaseArray.append() = last;
}
}
current = findChase(chaseArray, index, endIndex);
#if DEBUG_ACTIVE_SPANS
debugShowActiveSpans(contourList);
#endif
if (!current) {
break;
}
} while (true);
} while (true);
return simple.someAssemblyRequired();
}
// returns true if all edges were processed
static bool bridgeXor(SkTDArray<Contour*>& contourList, PathWrapper& simple) {
Segment* current;
int start, end;
bool unsortable = false;
bool closable = true;
while ((current = findUndone(contourList, start, end))) {
do {
#if DEBUG_ACTIVE_SPANS
if (!unsortable && current->done()) {
debugShowActiveSpans(contourList);
}
#endif
SkASSERT(unsortable || !current->done());
int nextStart = start;
int nextEnd = end;
Segment* next = current->findNextXor(nextStart, nextEnd, unsortable);
if (!next) {
if (!unsortable && simple.hasMove()
&& current->verb() != SkPath::kLine_Verb
&& !simple.isClosed()) {
current->addCurveTo(start, end, simple, true);
SkASSERT(simple.isClosed());
}
break;
}
#if DEBUG_FLOW
SkDebugf("%s current id=%d from=(%1.9g,%1.9g) to=(%1.9g,%1.9g)\n", __FUNCTION__,
current->debugID(), current->xyAtT(start).fX, current->xyAtT(start).fY,
current->xyAtT(end).fX, current->xyAtT(end).fY);
#endif
current->addCurveTo(start, end, simple, true);
current = next;
start = nextStart;
end = nextEnd;
} while (!simple.isClosed() && (!unsortable || !current->done(SkMin32(start, end))));
if (!simple.isClosed()) {
SkASSERT(unsortable);
int min = SkMin32(start, end);
if (!current->done(min)) {
current->addCurveTo(start, end, simple, true);
current->markDone(min, 1);
}
closable = false;
}
simple.close();
#if DEBUG_ACTIVE_SPANS
debugShowActiveSpans(contourList);
#endif
}
return closable;
}
static void fixOtherTIndex(SkTDArray<Contour*>& contourList) {
int contourCount = contourList.count();
for (int cTest = 0; cTest < contourCount; ++cTest) {
Contour* contour = contourList[cTest];
contour->fixOtherTIndex();
}
}
static void sortSegments(SkTDArray<Contour*>& contourList) {
int contourCount = contourList.count();
for (int cTest = 0; cTest < contourCount; ++cTest) {
Contour* contour = contourList[cTest];
contour->sortSegments();
}
}
static void makeContourList(SkTArray<Contour>& contours, SkTDArray<Contour*>& list,
bool evenOdd, bool oppEvenOdd) {
int count = contours.count();
if (count == 0) {
return;
}
for (int index = 0; index < count; ++index) {
Contour& contour = contours[index];
contour.setOppXor(contour.operand() ? evenOdd : oppEvenOdd);
*list.append() = &contour;
}
QSort<Contour>(list.begin(), list.end() - 1);
}
static bool approximatelyEqual(const SkPoint& a, const SkPoint& b) {
return AlmostEqualUlps(a.fX, b.fX) && AlmostEqualUlps(a.fY, b.fY);
}
static bool lessThan(SkTDArray<double>& distances, const int one, const int two) {
return distances[one] < distances[two];
}
/*
check start and end of each contour
if not the same, record them
match them up
connect closest
reassemble contour pieces into new path
*/
static void assemble(const PathWrapper& path, PathWrapper& simple) {
#if DEBUG_PATH_CONSTRUCTION
SkDebugf("%s\n", __FUNCTION__);
#endif
SkTArray<Contour> contours;
EdgeBuilder builder(path, contours);
builder.finish();
int count = contours.count();
int outer;
SkTDArray<int> runs; // indices of partial contours
for (outer = 0; outer < count; ++outer) {
const Contour& eContour = contours[outer];
const SkPoint& eStart = eContour.start();
const SkPoint& eEnd = eContour.end();
#if DEBUG_ASSEMBLE
SkDebugf("%s contour", __FUNCTION__);
if (!approximatelyEqual(eStart, eEnd)) {
SkDebugf("[%d]", runs.count());
} else {
SkDebugf(" ");
}
SkDebugf(" start=(%1.9g,%1.9g) end=(%1.9g,%1.9g)\n",
eStart.fX, eStart.fY, eEnd.fX, eEnd.fY);
#endif
if (approximatelyEqual(eStart, eEnd)) {
eContour.toPath(simple);
continue;
}
*runs.append() = outer;
}
count = runs.count();
if (count == 0) {
return;
}
SkTDArray<int> sLink, eLink;
sLink.setCount(count);
eLink.setCount(count);
int rIndex, iIndex;
for (rIndex = 0; rIndex < count; ++rIndex) {
sLink[rIndex] = eLink[rIndex] = SK_MaxS32;
}
SkTDArray<double> distances;
const int ends = count * 2; // all starts and ends
const int entries = (ends - 1) * count; // folded triangle : n * (n - 1) / 2
distances.setCount(entries);
for (rIndex = 0; rIndex < ends - 1; ++rIndex) {
outer = runs[rIndex >> 1];
const Contour& oContour = contours[outer];
const SkPoint& oPt = rIndex & 1 ? oContour.end() : oContour.start();
const int row = rIndex < count - 1 ? rIndex * ends : (ends - rIndex - 2)
* ends - rIndex - 1;
for (iIndex = rIndex + 1; iIndex < ends; ++iIndex) {
int inner = runs[iIndex >> 1];
const Contour& iContour = contours[inner];
const SkPoint& iPt = iIndex & 1 ? iContour.end() : iContour.start();
double dx = iPt.fX - oPt.fX;
double dy = iPt.fY - oPt.fY;
double dist = dx * dx + dy * dy;
distances[row + iIndex] = dist; // oStart distance from iStart
}
}
SkTDArray<int> sortedDist;
sortedDist.setCount(entries);
for (rIndex = 0; rIndex < entries; ++rIndex) {
sortedDist[rIndex] = rIndex;
}
QSort<SkTDArray<double>, int>(distances, sortedDist.begin(), sortedDist.end() - 1, lessThan);
int remaining = count; // number of start/end pairs
for (rIndex = 0; rIndex < entries; ++rIndex) {
int pair = sortedDist[rIndex];
int row = pair / ends;
int col = pair - row * ends;
int thingOne = row < col ? row : ends - row - 2;
int ndxOne = thingOne >> 1;
bool endOne = thingOne & 1;
int* linkOne = endOne ? eLink.begin() : sLink.begin();
if (linkOne[ndxOne] != SK_MaxS32) {
continue;
}
int thingTwo = row < col ? col : ends - row + col - 1;
int ndxTwo = thingTwo >> 1;
bool endTwo = thingTwo & 1;
int* linkTwo = endTwo ? eLink.begin() : sLink.begin();
if (linkTwo[ndxTwo] != SK_MaxS32) {
continue;
}
SkASSERT(&linkOne[ndxOne] != &linkTwo[ndxTwo]);
bool flip = endOne == endTwo;
linkOne[ndxOne] = flip ? ~ndxTwo : ndxTwo;
linkTwo[ndxTwo] = flip ? ~ndxOne : ndxOne;
if (!--remaining) {
break;
}
}
SkASSERT(!remaining);
#if DEBUG_ASSEMBLE
for (rIndex = 0; rIndex < count; ++rIndex) {
int s = sLink[rIndex];
int e = eLink[rIndex];
SkDebugf("%s %c%d <- s%d - e%d -> %c%d\n", __FUNCTION__, s < 0 ? 's' : 'e',
s < 0 ? ~s : s, rIndex, rIndex, e < 0 ? 'e' : 's', e < 0 ? ~e : e);
}
#endif
rIndex = 0;
do {
bool forward = true;
bool first = true;
int sIndex = sLink[rIndex];
SkASSERT(sIndex != SK_MaxS32);
sLink[rIndex] = SK_MaxS32;
int eIndex;
if (sIndex < 0) {
eIndex = sLink[~sIndex];
sLink[~sIndex] = SK_MaxS32;
} else {
eIndex = eLink[sIndex];
eLink[sIndex] = SK_MaxS32;
}
SkASSERT(eIndex != SK_MaxS32);
#if DEBUG_ASSEMBLE
SkDebugf("%s sIndex=%c%d eIndex=%c%d\n", __FUNCTION__, sIndex < 0 ? 's' : 'e',
sIndex < 0 ? ~sIndex : sIndex, eIndex < 0 ? 's' : 'e',
eIndex < 0 ? ~eIndex : eIndex);
#endif
do {
outer = runs[rIndex];
const Contour& contour = contours[outer];
if (first) {
first = false;
const SkPoint* startPtr = &contour.start();
simple.deferredMove(startPtr[0]);
}
if (forward) {
contour.toPartialForward(simple);
} else {
contour.toPartialBackward(simple);
}
#if DEBUG_ASSEMBLE
SkDebugf("%s rIndex=%d eIndex=%s%d close=%d\n", __FUNCTION__, rIndex,
eIndex < 0 ? "~" : "", eIndex < 0 ? ~eIndex : eIndex,
sIndex == ((rIndex != eIndex) ^ forward ? eIndex : ~eIndex));
#endif
if (sIndex == ((rIndex != eIndex) ^ forward ? eIndex : ~eIndex)) {
simple.close();
break;
}
if (forward) {
eIndex = eLink[rIndex];
SkASSERT(eIndex != SK_MaxS32);
eLink[rIndex] = SK_MaxS32;
if (eIndex >= 0) {
SkASSERT(sLink[eIndex] == rIndex);
sLink[eIndex] = SK_MaxS32;
} else {
SkASSERT(eLink[~eIndex] == ~rIndex);
eLink[~eIndex] = SK_MaxS32;
}
} else {
eIndex = sLink[rIndex];
SkASSERT(eIndex != SK_MaxS32);
sLink[rIndex] = SK_MaxS32;
if (eIndex >= 0) {
SkASSERT(eLink[eIndex] == rIndex);
eLink[eIndex] = SK_MaxS32;
} else {
SkASSERT(sLink[~eIndex] == ~rIndex);
sLink[~eIndex] = SK_MaxS32;
}
}
rIndex = eIndex;
if (rIndex < 0) {
forward ^= 1;
rIndex = ~rIndex;
}
} while (true);
for (rIndex = 0; rIndex < count; ++rIndex) {
if (sLink[rIndex] != SK_MaxS32) {
break;
}
}
} while (rIndex < count);
#if DEBUG_ASSEMBLE
for (rIndex = 0; rIndex < count; ++rIndex) {
SkASSERT(sLink[rIndex] == SK_MaxS32);
SkASSERT(eLink[rIndex] == SK_MaxS32);
}
#endif
}
void simplifyx(const SkPath& path, SkPath& result) {
// returns 1 for evenodd, -1 for winding, regardless of inverse-ness
result.reset();
result.setFillType(SkPath::kEvenOdd_FillType);
PathWrapper simple(result);
// turn path into list of segments
SkTArray<Contour> contours;
// FIXME: add self-intersecting cubics' T values to segment
EdgeBuilder builder(path, contours);
builder.finish();
SkTDArray<Contour*> contourList;
makeContourList(contours, contourList, false, false);
Contour** currentPtr = contourList.begin();
if (!currentPtr) {
return;
}
Contour** listEnd = contourList.end();
// find all intersections between segments
do {
Contour** nextPtr = currentPtr;
Contour* current = *currentPtr++;
Contour* next;
do {
next = *nextPtr++;
} while (addIntersectTs(current, next) && nextPtr != listEnd);
} while (currentPtr != listEnd);
// eat through coincident edges
coincidenceCheck(contourList, 0);
fixOtherTIndex(contourList);
sortSegments(contourList);
#if DEBUG_ACTIVE_SPANS
debugShowActiveSpans(contourList);
#endif
// construct closed contours
if (builder.xorMask() == kWinding_Mask ? bridgeWinding(contourList, simple)
: !bridgeXor(contourList, simple))
{ // if some edges could not be resolved, assemble remaining fragments
SkPath temp;
temp.setFillType(SkPath::kEvenOdd_FillType);
PathWrapper assembled(temp);
assemble(simple, assembled);
result = *assembled.nativePath();
}
}