blob: 1037cae4f759f94e5c01a3bd3784a44c16ceb3d5 [file] [log] [blame]
* Copyright 2012 Google Inc.
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
#ifndef SkPathOpsCubic_DEFINED
#define SkPathOpsCubic_DEFINED
#include "SkPath.h"
#include "SkPathOpsPoint.h"
#include "SkTArray.h"
struct SkDCubicPair {
const SkDCubic& first() const { return (const SkDCubic&) pts[0]; }
const SkDCubic& second() const { return (const SkDCubic&) pts[3]; }
SkDPoint pts[7];
struct SkDCubic {
enum SearchAxis {
const SkDPoint& operator[](int n) const { SkASSERT(n >= 0 && n < 4); return fPts[n]; }
SkDPoint& operator[](int n) { SkASSERT(n >= 0 && n < 4); return fPts[n]; }
void align(int endIndex, int ctrlIndex, SkDPoint* dstPt) const;
double binarySearch(double min, double max, double axisIntercept, SearchAxis xAxis) const;
double calcPrecision() const;
SkDCubicPair chopAt(double t) const;
bool clockwise() const;
static void Coefficients(const double* cubic, double* A, double* B, double* C, double* D);
bool controlsContainedByEnds() const;
SkDVector dxdyAtT(double t) const;
bool endsAreExtremaInXOrY() const;
static int FindExtrema(double a, double b, double c, double d, double tValue[2]);
int findInflections(double tValues[2]) const;
static int FindInflections(const SkPoint a[4], double tValues[2]) {
SkDCubic cubic;
return cubic.findInflections(tValues);
int findMaxCurvature(double tValues[]) const;
bool isLinear(int startIndex, int endIndex) const;
bool monotonicInY() const;
SkDPoint ptAtT(double t) const;
static int RootsReal(double A, double B, double C, double D, double t[3]);
static int RootsValidT(const double A, const double B, const double C, double D, double s[3]);
int searchRoots(double extremes[6], int extrema, double axisIntercept,
SearchAxis xAxis, double* validRoots) const;
bool serpentine() const;
void set(const SkPoint pts[4]) {
fPts[0] = pts[0];
fPts[1] = pts[1];
fPts[2] = pts[2];
fPts[3] = pts[3];
SkDCubic subDivide(double t1, double t2) const;
static SkDCubic SubDivide(const SkPoint a[4], double t1, double t2) {
SkDCubic cubic;
return cubic.subDivide(t1, t2);
void subDivide(const SkDPoint& a, const SkDPoint& d, double t1, double t2, SkDPoint p[2]) const;
static void SubDivide(const SkPoint pts[4], const SkDPoint& a, const SkDPoint& d, double t1,
double t2, SkDPoint p[2]) {
SkDCubic cubic;
cubic.subDivide(a, d, t1, t2, p);
SkDPoint top(double startT, double endT) const;
void toQuadraticTs(double precision, SkTArray<double, true>* ts) const;
SkDQuad toQuad() const;
// utilities callable by the user from the debugger when the implementation code is linked in
void dump() const;
void dumpNumber() const;
static const int gPrecisionUnit;
SkDPoint fPts[4];