/*
* Copyright 2006 The Android Open Source Project
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "SkAnalyticEdge.h"
#include "SkFDot6.h"
#include "SkMathPriv.h"
// This will become a bottleneck for small ovals rendering if we call SkFixedDiv twice here.
// Therefore, we'll let the outter function compute the slope once and send in the value.
// Moreover, we'll compute fDY by quickly lookup the inverse table (if possible).
bool SkAnalyticEdge::updateLine(SkFixed x0, SkFixed y0, SkFixed x1, SkFixed y1, SkFixed slope) {
// Since we send in the slope, we can no longer snap y inside this function.
// If we don't send in the slope, or we do some more sophisticated snapping, this function
// could be a performance bottleneck.
SkASSERT(fWinding == 1 || fWinding == -1);
SkASSERT(fCurveCount != 0);
// We don't chop at y extrema for cubics so the y is not guaranteed to be increasing for them.
// In that case, we have to swap x/y and negate the winding.
if (y0 > y1) {
SkTSwap(x0, x1);
SkTSwap(y0, y1);
fWinding = -fWinding;
}
SkASSERT(y0 <= y1);
SkFDot6 dx = SkFixedToFDot6(x1 - x0);
SkFDot6 dy = SkFixedToFDot6(y1 - y0);
// are we a zero-height line?
if (dy == 0) {
return false;
}
SkASSERT(slope < SK_MaxS32);
SkFDot6 absSlope = SkAbs32(SkFixedToFDot6(slope));
fX = x0;
fDX = slope;
fUpperX = x0;
fY = y0;
fUpperY = y0;
fLowerY = y1;
fDY = (dx == 0 || slope == 0)
? SK_MaxS32
: absSlope < kInverseTableSize
? QuickFDot6Inverse::Lookup(absSlope)
: SkAbs32(QuickSkFDot6Div(dy, dx));
return true;
}
bool SkAnalyticEdge::update(SkFixed last_y, bool sortY) {
SkASSERT(last_y >= fLowerY); // we shouldn't update edge if last_y < fLowerY
if (fCurveCount < 0) {
return static_cast<SkAnalyticCubicEdge*>(this)->updateCubic(sortY);
} else if (fCurveCount > 0) {
return static_cast<SkAnalyticQuadraticEdge*>(this)->updateQuadratic();
}
return false;
}
bool SkAnalyticQuadraticEdge::setQuadratic(const SkPoint pts[3]) {
fRiteE = nullptr;
if (!fQEdge.setQuadraticWithoutUpdate(pts, kDefaultAccuracy)) {
return false;
}
fQEdge.fQx >>= kDefaultAccuracy;
fQEdge.fQy >>= kDefaultAccuracy;
fQEdge.fQDx >>= kDefaultAccuracy;
fQEdge.fQDy >>= kDefaultAccuracy;
fQEdge.fQDDx >>= kDefaultAccuracy;
fQEdge.fQDDy >>= kDefaultAccuracy;
fQEdge.fQLastX >>= kDefaultAccuracy;
fQEdge.fQLastY >>= kDefaultAccuracy;
fQEdge.fQy = SnapY(fQEdge.fQy);
fQEdge.fQLastY = SnapY(fQEdge.fQLastY);
fWinding = fQEdge.fWinding;
fCurveCount = fQEdge.fCurveCount;
fCurveShift = fQEdge.fCurveShift;
fSnappedX = fQEdge.fQx;
fSnappedY = fQEdge.fQy;
return this->updateQuadratic();
}
bool SkAnalyticQuadraticEdge::updateQuadratic() {
int success = 0; // initialize to fail!
int count = fCurveCount;
SkFixed oldx = fQEdge.fQx;
SkFixed oldy = fQEdge.fQy;
SkFixed dx = fQEdge.fQDx;
SkFixed dy = fQEdge.fQDy;
SkFixed newx, newy, newSnappedX, newSnappedY;
int shift = fCurveShift;
SkASSERT(count > 0);
do {
SkFixed slope;
if (--count > 0)
{
newx = oldx + (dx >> shift);
newy = oldy + (dy >> shift);
if (SkAbs32(dy >> shift) >= SK_Fixed1 * 2) { // only snap when dy is large enough
SkFDot6 diffY = SkFixedToFDot6(newy - fSnappedY);
slope = diffY ? QuickSkFDot6Div(SkFixedToFDot6(newx - fSnappedX), diffY)
: SK_MaxS32;
newSnappedY = SkTMin<SkFixed>(fQEdge.fQLastY, SkFixedRoundToFixed(newy));
newSnappedX = newx - SkFixedMul(slope, newy - newSnappedY);
} else {
newSnappedY = SkTMin(fQEdge.fQLastY, SnapY(newy));
newSnappedX = newx;
SkFDot6 diffY = SkFixedToFDot6(newSnappedY - fSnappedY);
slope = diffY ? QuickSkFDot6Div(SkFixedToFDot6(newx - fSnappedX), diffY)
: SK_MaxS32;
}
dx += fQEdge.fQDDx;
dy += fQEdge.fQDDy;
}
else // last segment
{
newx = fQEdge.fQLastX;
newy = fQEdge.fQLastY;
newSnappedY = newy;
newSnappedX = newx;
SkFDot6 diffY = (newy - fSnappedY) >> 10;
slope = diffY ? QuickSkFDot6Div((newx - fSnappedX) >> 10, diffY) : SK_MaxS32;
}
if (slope < SK_MaxS32) {
success = this->updateLine(fSnappedX, fSnappedY, newSnappedX, newSnappedY, slope);
}
oldx = newx;
oldy = newy;
} while (count > 0 && !success);
SkASSERT(newSnappedY <= fQEdge.fQLastY);
fQEdge.fQx = newx;
fQEdge.fQy = newy;
fQEdge.fQDx = dx;
fQEdge.fQDy = dy;
fSnappedX = newSnappedX;
fSnappedY = newSnappedY;
fCurveCount = SkToS8(count);
return success;
}
bool SkAnalyticCubicEdge::setCubic(const SkPoint pts[4], bool sortY) {
fRiteE = nullptr;
if (!fCEdge.setCubicWithoutUpdate(pts, kDefaultAccuracy, sortY)) {
return false;
}
fCEdge.fCx >>= kDefaultAccuracy;
fCEdge.fCy >>= kDefaultAccuracy;
fCEdge.fCDx >>= kDefaultAccuracy;
fCEdge.fCDy >>= kDefaultAccuracy;
fCEdge.fCDDx >>= kDefaultAccuracy;
fCEdge.fCDDy >>= kDefaultAccuracy;
fCEdge.fCDDDx >>= kDefaultAccuracy;
fCEdge.fCDDDy >>= kDefaultAccuracy;
fCEdge.fCLastX >>= kDefaultAccuracy;
fCEdge.fCLastY >>= kDefaultAccuracy;
fCEdge.fCy = SnapY(fCEdge.fCy);
fCEdge.fCLastY = SnapY(fCEdge.fCLastY);
fWinding = fCEdge.fWinding;
fCurveCount = fCEdge.fCurveCount;
fCurveShift = fCEdge.fCurveShift;
fCubicDShift = fCEdge.fCubicDShift;
fSnappedY = fCEdge.fCy;
return this->updateCubic(sortY);
}
bool SkAnalyticCubicEdge::updateCubic(bool sortY) {
int success;
int count = fCurveCount;
SkFixed oldx = fCEdge.fCx;
SkFixed oldy = fCEdge.fCy;
SkFixed newx, newy;
const int ddshift = fCurveShift;
const int dshift = fCubicDShift;
SkASSERT(count < 0);
do {
if (++count < 0) {
newx = oldx + (fCEdge.fCDx >> dshift);
fCEdge.fCDx += fCEdge.fCDDx >> ddshift;
fCEdge.fCDDx += fCEdge.fCDDDx;
newy = oldy + (fCEdge.fCDy >> dshift);
fCEdge.fCDy += fCEdge.fCDDy >> ddshift;
fCEdge.fCDDy += fCEdge.fCDDDy;
}
else { // last segment
newx = fCEdge.fCLastX;
newy = fCEdge.fCLastY;
}
// we want to say SkASSERT(oldy <= newy), but our finite fixedpoint
// doesn't always achieve that, so we have to explicitly pin it here.
if (sortY && newy < oldy) {
newy = oldy;
}
SkFixed newSnappedY = SnapY(newy);
// we want to SkASSERT(snappedNewY <= fCEdge.fCLastY), but our finite fixedpoint
// doesn't always achieve that, so we have to explicitly pin it here.
if (sortY && fCEdge.fCLastY < newSnappedY) {
newSnappedY = fCEdge.fCLastY;
count = 0;
}
SkFixed slope = SkFixedToFDot6(newSnappedY - fSnappedY) == 0
? SK_MaxS32
: SkFDot6Div(SkFixedToFDot6(newx - oldx),
SkFixedToFDot6(newSnappedY - fSnappedY));
success = this->updateLine(oldx, fSnappedY, newx, newSnappedY, slope);
oldx = newx;
oldy = newy;
fSnappedY = newSnappedY;
} while (count < 0 && !success);
fCEdge.fCx = newx;
fCEdge.fCy = newy;
fCurveCount = SkToS8(count);
return success;
}