Refactor SkCurveMeasure to use existing eval code
- Use quad, cubic, conic eval code from SkGeometry.h - Implement evaluateDerivativeLength, evaluateDerivative and evaluate switch cases for lines along with the refactor BUG=skia: GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2226973004 Review-Url: https://codereview.chromium.org/2226973004
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@ -6,10 +6,66 @@
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*/
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#include "SkCurveMeasure.h"
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#include "SkGeometry.h"
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// for abs
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#include <cmath>
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#define UNIMPLEMENTED SkDEBUGF(("%s:%d unimplemented\n", __FILE__, __LINE__))
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/// Used inside SkCurveMeasure::getTime's Newton's iteration
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static inline SkPoint evaluate(const SkPoint pts[4], SkSegType segType,
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SkScalar t) {
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SkPoint pos;
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switch (segType) {
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case kQuad_SegType:
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pos = SkEvalQuadAt(pts, t);
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break;
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case kLine_SegType:
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pos = SkPoint::Make(SkScalarInterp(pts[0].x(), pts[1].x(), t),
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SkScalarInterp(pts[0].y(), pts[1].y(), t));
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break;
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case kCubic_SegType:
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SkEvalCubicAt(pts, t, &pos, nullptr, nullptr);
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break;
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case kConic_SegType: {
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SkConic conic(pts, pts[3].x());
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conic.evalAt(t, &pos);
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}
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break;
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default:
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UNIMPLEMENTED;
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}
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return pos;
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}
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/// Used inside SkCurveMeasure::getTime's Newton's iteration
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static inline SkVector evaluateDerivative(const SkPoint pts[4],
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SkSegType segType, SkScalar t) {
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SkVector tan;
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switch (segType) {
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case kQuad_SegType:
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tan = SkEvalQuadTangentAt(pts, t);
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break;
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case kLine_SegType:
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tan = pts[1] - pts[0];
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break;
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case kCubic_SegType:
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SkEvalCubicAt(pts, t, nullptr, &tan, nullptr);
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break;
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case kConic_SegType: {
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SkConic conic(pts, pts[3].x());
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conic.evalAt(t, nullptr, &tan);
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}
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break;
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default:
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UNIMPLEMENTED;
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}
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return tan;
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}
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/// Used in ArcLengthIntegrator::computeLength
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static inline Sk8f evaluateDerivativeLength(const Sk8f& ts,
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const Sk8f (&xCoeff)[3],
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const Sk8f (&yCoeff)[3],
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@ -22,17 +78,18 @@ static inline Sk8f evaluateDerivativeLength(const Sk8f& ts,
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y = yCoeff[0]*ts + yCoeff[1];
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break;
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case kLine_SegType:
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SkDebugf("Unimplemented");
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break;
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// length of line derivative is constant
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// and we precompute it in the constructor
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return xCoeff[0];
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case kCubic_SegType:
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x = (xCoeff[0]*ts + xCoeff[1])*ts + xCoeff[2];
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y = (yCoeff[0]*ts + yCoeff[1])*ts + yCoeff[2];
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break;
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case kConic_SegType:
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SkDebugf("Unimplemented");
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UNIMPLEMENTED;
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break;
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default:
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SkDebugf("Unimplemented");
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UNIMPLEMENTED;
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}
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x = x * x;
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@ -40,6 +97,7 @@ static inline Sk8f evaluateDerivativeLength(const Sk8f& ts,
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return (x + y).sqrt();
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}
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ArcLengthIntegrator::ArcLengthIntegrator(const SkPoint* pts, SkSegType segType)
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: fSegType(segType) {
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switch (fSegType) {
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@ -59,8 +117,13 @@ ArcLengthIntegrator::ArcLengthIntegrator(const SkPoint* pts, SkSegType segType)
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yCoeff[1] = Sk8f(2.0f*(By - Ay));
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}
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break;
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case kLine_SegType:
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SkDEBUGF(("Unimplemented"));
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case kLine_SegType: {
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// the length of the derivative of a line is constant
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// we put in in both coeff arrays for consistency's sake
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SkScalar length = (pts[1] - pts[0]).length();
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xCoeff[0] = Sk8f(length);
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yCoeff[0] = Sk8f(length);
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}
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break;
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case kCubic_SegType:
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{
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@ -73,6 +136,7 @@ ArcLengthIntegrator::ArcLengthIntegrator(const SkPoint* pts, SkSegType segType)
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float Cy = pts[2].y();
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float Dy = pts[3].y();
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// precompute coefficients for derivative
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xCoeff[0] = Sk8f(3.0f*(-Ax + 3.0f*(Bx - Cx) + Dx));
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xCoeff[1] = Sk8f(3.0f*(2.0f*(Ax - 2.0f*Bx + Cx)));
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xCoeff[2] = Sk8f(3.0f*(-Ax + Bx));
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@ -83,10 +147,10 @@ ArcLengthIntegrator::ArcLengthIntegrator(const SkPoint* pts, SkSegType segType)
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}
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break;
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case kConic_SegType:
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SkDEBUGF(("Unimplemented"));
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UNIMPLEMENTED;
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break;
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default:
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SkDEBUGF(("Unimplemented"));
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UNIMPLEMENTED;
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}
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}
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@ -117,7 +181,8 @@ SkCurveMeasure::SkCurveMeasure(const SkPoint* pts, SkSegType segType)
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}
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break;
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case SkSegType::kLine_SegType:
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SkDebugf("Unimplemented");
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fPts[0] = pts[0];
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fPts[1] = pts[1];
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break;
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case SkSegType::kCubic_SegType:
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for (size_t i = 0; i < 4; i++) {
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@ -125,10 +190,12 @@ SkCurveMeasure::SkCurveMeasure(const SkPoint* pts, SkSegType segType)
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}
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break;
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case SkSegType::kConic_SegType:
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SkDebugf("Unimplemented");
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for (size_t i = 0; i < 4; i++) {
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fPts[i] = pts[i];
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}
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break;
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default:
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SkDEBUGF(("Unimplemented"));
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UNIMPLEMENTED;
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break;
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}
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fIntegrator = ArcLengthIntegrator(fPts, fSegType);
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@ -199,9 +266,8 @@ SkScalar SkCurveMeasure::getTime(SkScalar targetLength) {
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prevT = currentT;
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if (iterations < kNewtonIters) {
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// TODO(hstern) switch here on curve type.
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// This is just newton's formula.
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SkScalar dt = evaluateQuadDerivative(currentT).length();
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SkScalar dt = evaluateDerivative(fPts, fSegType, currentT).length();
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newT = currentT - (lengthDiff / dt);
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// If newT is out of bounds, bisect inside newton.
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@ -242,45 +308,9 @@ void SkCurveMeasure::getPosTanTime(SkScalar targetLength, SkPoint* pos,
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*time = t;
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}
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if (pos) {
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// TODO(hstern) switch here on curve type.
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*pos = evaluateQuad(t);
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*pos = evaluate(fPts, fSegType, t);
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}
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if (tan) {
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// TODO(hstern) switch here on curve type.
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*tan = evaluateQuadDerivative(t);
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*tan = evaluateDerivative(fPts, fSegType, t);
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}
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}
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// this is why I feel that the ArcLengthIntegrator should be combined
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// with some sort of evaluator that caches the constants computed from the
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// control points. this is basically the same code in ArcLengthIntegrator
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SkPoint SkCurveMeasure::evaluateQuad(SkScalar t) {
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SkScalar ti = 1.0f - t;
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SkScalar Ax = fPts[0].x();
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SkScalar Bx = fPts[1].x();
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SkScalar Cx = fPts[2].x();
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SkScalar Ay = fPts[0].y();
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SkScalar By = fPts[1].y();
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SkScalar Cy = fPts[2].y();
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SkScalar x = Ax*ti*ti + 2.0f*Bx*t*ti + Cx*t*t;
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SkScalar y = Ay*ti*ti + 2.0f*By*t*ti + Cy*t*t;
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return SkPoint::Make(x, y);
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}
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SkVector SkCurveMeasure::evaluateQuadDerivative(SkScalar t) {
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SkScalar Ax = fPts[0].x();
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SkScalar Bx = fPts[1].x();
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SkScalar Cx = fPts[2].x();
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SkScalar Ay = fPts[0].y();
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SkScalar By = fPts[1].y();
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SkScalar Cy = fPts[2].y();
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SkScalar A2BCx = 2.0f*(Ax - 2*Bx + Cx);
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SkScalar A2BCy = 2.0f*(Ay - 2*By + Cy);
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SkScalar ABx = 2.0f*(Bx - Ax);
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SkScalar ABy = 2.0f*(By - Ay);
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return SkPoint::Make(A2BCx*t + ABx, A2BCy*t + ABy);
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}
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class SkCurveMeasure {
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public:
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SkCurveMeasure() {}
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// Almost exactly the same as in SkPath::Iter:
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// kLine_SegType -> 2 points: start end
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// kQuad_SegType -> 3 points: start control end
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// kCubic_SegType -> 4 points: start control1 control2 end
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// kConic_SegType -> 4 points: start control end (w, w)
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//
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// i.e. the only difference is that the conic's last point is a point
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// consisting of the w value twice
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SkCurveMeasure(const SkPoint* pts, SkSegType segType);
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SkScalar getTime(SkScalar targetLength);
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@ -51,13 +60,6 @@ public:
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SkScalar getLength();
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private:
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SkPoint evaluateQuad(SkScalar t);
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SkVector evaluateQuadDerivative(SkScalar t);
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//SkPoint evaluate_cubic(SkScalar t);
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//SkVector evaluate_cubic_derivative(SkScalar t);
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//SkPoint evaluate_conic(SkScalar t);
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//SkVector evaluate_conic_derivative(SkScalar t);
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const SkScalar kTolerance = 0.0001f;
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const int kNewtonIters = 5;
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const int kBisectIters = 5;
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