Reland "Increase precision of some quad AA calculations"

This reverts commit 5195673.

Reason for revert: Just waiting for the test suppression
Original change's description:
> Revert "Increase precision of some quad AA calculations"
> 
> This reverts commit 40a1353.
> 
> Reason for revert: layout tests need rebaseline
> 
> Original change's description:
> > Increase precision of some quad AA calculations
> > 
> > This stops using the low precision rsqrt and instead does a divide + sqrt.
> > It also separates the single kTolerance value used in GrQuadUtils' math
> > into a fairly fuzzy tolerance for edges/distances being close to zero
> > (e.g. a degenerate quad), and a more precise tolerance for linear systems
> > solutions.
> > 
> > The smaller tolerance value used for denominators in these solutions prevents
> > the solved-for coordinates from being mis-classified as "bad". The bad coord
> > resolution works on the assumption that its correcting points that are
> > co-located, but if the input coords were sufficiently large the linear
> > equations would have small denominators that were less than the fuzzy tolerance
> > and then the geometry would be improperly collapsed to a line.
> > 
> > For the selected zoom level of GM_crbug_10141204, this change is sufficient
> > to prevent the draw from being discarded. However, when animating the zoom
> > level, the input shape is sometimes still considered a fullscreen clear when
> > it shouldn't be. A follow up change will improve precision in CropToRect()
> > 
> > Bug: skia:9779, chromium:10141204
> > Change-Id: Id1518a908c03e7813868c4eff014d18388f8f62e
> > Reviewed-on: https://skia-review.googlesource.com/c/skia/+/265976
> > Reviewed-by: Robert Phillips <robertphillips@google.com>
> > Commit-Queue: Michael Ludwig <michaelludwig@google.com>
> 
> TBR=robertphillips@google.com,michaelludwig@google.com
> 
> Change-Id: I44012a2728f75e235678f733c6da8870b84ae3ab
> No-Presubmit: true
> No-Tree-Checks: true
> No-Try: true
> Bug: skia:9779, chromium:10141204
> Reviewed-on: https://skia-review.googlesource.com/c/skia/+/266220
> Reviewed-by: Michael Ludwig <michaelludwig@google.com>
> Commit-Queue: Michael Ludwig <michaelludwig@google.com>

TBR=robertphillips@google.com,michaelludwig@google.com

Change-Id: Ie7f19c1f7c4b742f34b24157aa7800f2a974e5bf
No-Presubmit: true
No-Tree-Checks: true
No-Try: true
Bug: skia:9779, chromium:10141204
Reviewed-on: https://skia-review.googlesource.com/c/skia/+/266221
Reviewed-by: Michael Ludwig <michaelludwig@google.com>
Commit-Queue: Michael Ludwig <michaelludwig@google.com>

Author: lhkbob

src/gpu/geometry/GrQuadUtils.cpp

@@ -18,7 +18,12 @@ using M4f = skvx::Vec<4, int32_t>;
 
 #define AI SK_ALWAYS_INLINE
 
-static constexpr float kTolerance = 1e-2f;
+// General tolerance used for denominators, checking div-by-0
+static constexpr float kTolerance = 1e-9f;
+// Increased slop when comparing signed distances / lengths
+static constexpr float kDistTolerance = 1e-2f;
+static constexpr float kDist2Tolerance = kDistTolerance * kDistTolerance;
+static constexpr float kInvDistTolerance = 1.f / kDistTolerance;
 
 // These rotate the points/edge values either clockwise or counterclockwise assuming tri strip
 // order.
@@ -487,7 +492,7 @@ void TessellationHelper::EdgeVectors::reset(const skvx::Vec<4, float>& xs,
                                             GrQuad::Type quadType) {
     // Calculate all projected edge vector values for this quad.
     if (quadType == GrQuad::Type::kPerspective) {
-        V4f iw = 1.0 / ws;
+        V4f iw = 1.f / ws;
         fX2D = xs * iw;
         fY2D = ys * iw;
     } else {
@@ -497,7 +502,7 @@ void TessellationHelper::EdgeVectors::reset(const skvx::Vec<4, float>& xs,
 
     fDX = next_ccw(fX2D) - fX2D;
     fDY = next_ccw(fY2D) - fY2D;
-    fInvLengths = rsqrt(mad(fDX, fDX, fDY * fDY));
+    fInvLengths = 1.f / sqrt(mad(fDX, fDX, fDY * fDY));
 
     // Normalize edge vectors
     fDX *= fInvLengths;
@@ -511,7 +516,7 @@ void TessellationHelper::EdgeVectors::reset(const skvx::Vec<4, float>& xs,
         fCosTheta = mad(fDX, next_cw(fDX), fDY * next_cw(fDY));
         // NOTE: if cosTheta is close to 1, inset/outset math will avoid the fast paths that rely
         // on thefInvSinTheta since it will approach infinity.
-        fInvSinTheta = rsqrt(1.f - fCosTheta * fCosTheta);
+        fInvSinTheta = 1.f / sqrt(1.f - fCosTheta * fCosTheta);
     }
 }
 
@@ -521,12 +526,12 @@ void TessellationHelper::EdgeEquations::reset(const EdgeVectors& edgeVectors) {
     V4f dx = edgeVectors.fDX;
     V4f dy = edgeVectors.fDY;
     // Correct for bad edges by copying adjacent edge information into the bad component
-    correct_bad_edges(edgeVectors.fInvLengths >= 1.f / kTolerance, &dx, &dy, nullptr);
+    correct_bad_edges(edgeVectors.fInvLengths >= kInvDistTolerance, &dx, &dy, nullptr);
 
     V4f c = mad(dx, edgeVectors.fY2D, -dy * edgeVectors.fX2D);
     // Make sure normals point into the shape
     V4f test = mad(dy, next_cw(edgeVectors.fX2D), mad(-dx, next_cw(edgeVectors.fY2D), c));
-    if (any(test < -kTolerance)) {
+    if (any(test < -kDistTolerance)) {
         fA = -dy;
         fB = dx;
         fC = -c;
@@ -585,8 +590,8 @@ int TessellationHelper::EdgeEquations::computeDegenerateQuad(const V4f& signedEd
     // wrong side of 1 edge, one edge has crossed over another and we use a line to represent it.
     // Otherwise, use a triangle that replaces the bad points with the intersections of
     // (e1, e2) or (e0, e3) as needed.
-    M4f d1v0 = dists1 < kTolerance;
-    M4f d2v0 = dists2 < kTolerance;
+    M4f d1v0 = dists1 < kDistTolerance;
+    M4f d2v0 = dists2 < kDistTolerance;
     M4f d1And2 = d1v0 & d2v0;
     M4f d1Or2 = d1v0 | d2v0;
 
@@ -608,7 +613,7 @@ int TessellationHelper::EdgeEquations::computeDegenerateQuad(const V4f& signedEd
     } else if (all(d1Or2)) {
         // Degenerates to a line. Compare p[2] and p[3] to edge 0. If they are on the wrong side,
         // that means edge 0 and 3 crossed, and otherwise edge 1 and 2 crossed.
-        if (dists1[2] < kTolerance && dists1[3] < kTolerance) {
+        if (dists1[2] < kDistTolerance && dists1[3] < kDistTolerance) {
             // Edges 0 and 3 have crossed over, so make the line from average of (p0,p2) and (p1,p3)
             *x2d = 0.5f * (skvx::shuffle<0, 1, 0, 1>(px) + skvx::shuffle<2, 3, 2, 3>(px));
             *y2d = 0.5f * (skvx::shuffle<0, 1, 0, 1>(py) + skvx::shuffle<2, 3, 2, 3>(py));
@@ -664,7 +669,7 @@ void TessellationHelper::OutsetRequest::reset(const EdgeVectors& edgeVectors, Gr
         fInsetDegenerate =
                 (widthChange > 0.f  && edgeVectors.fInvLengths[1] > 1.f / widthChange) ||
                 (heightChange > 0.f && edgeVectors.fInvLengths[0] > 1.f / heightChange);
-    } else if (any(edgeVectors.fInvLengths >= 1.f / kTolerance)) {
+    } else if (any(edgeVectors.fInvLengths >= kInvDistTolerance)) {
         // Have an edge that is effectively length 0, so we're dealing with a triangle, which
         // must always go through the degenerate code path.
         fOutsetDegenerate = true;
@@ -776,13 +781,13 @@ void TessellationHelper::Vertices::moveTo(const V4f& x2d, const V4f& y2d, const
     V4f e1x = skvx::shuffle<2, 3, 2, 3>(fX) - skvx::shuffle<0, 1, 0, 1>(fX);
     V4f e1y = skvx::shuffle<2, 3, 2, 3>(fY) - skvx::shuffle<0, 1, 0, 1>(fY);
     V4f e1w = skvx::shuffle<2, 3, 2, 3>(fW) - skvx::shuffle<0, 1, 0, 1>(fW);
-    correct_bad_edges(mad(e1x, e1x, e1y * e1y) < kTolerance * kTolerance, &e1x, &e1y, &e1w);
+    correct_bad_edges(mad(e1x, e1x, e1y * e1y) < kDist2Tolerance, &e1x, &e1y, &e1w);
 
     // // Top to bottom, in device space, for each point
     V4f e2x = skvx::shuffle<1, 1, 3, 3>(fX) - skvx::shuffle<0, 0, 2, 2>(fX);
     V4f e2y = skvx::shuffle<1, 1, 3, 3>(fY) - skvx::shuffle<0, 0, 2, 2>(fY);
     V4f e2w = skvx::shuffle<1, 1, 3, 3>(fW) - skvx::shuffle<0, 0, 2, 2>(fW);
-    correct_bad_edges(mad(e2x, e2x, e2y * e2y) < kTolerance * kTolerance, &e2x, &e2y, &e2w);
+    correct_bad_edges(mad(e2x, e2x, e2y * e2y) < kDist2Tolerance, &e2x, &e2y, &e2w);
 
     // Can only move along e1 and e2 to reach the new 2D point, so we have
     // x2d = (x + a*e1x + b*e2x) / (w + a*e1w + b*e2w) and
@@ -858,12 +863,12 @@ void TessellationHelper::Vertices::moveTo(const V4f& x2d, const V4f& y2d, const
         V4f e1u = skvx::shuffle<2, 3, 2, 3>(fU) - skvx::shuffle<0, 1, 0, 1>(fU);
         V4f e1v = skvx::shuffle<2, 3, 2, 3>(fV) - skvx::shuffle<0, 1, 0, 1>(fV);
         V4f e1r = skvx::shuffle<2, 3, 2, 3>(fR) - skvx::shuffle<0, 1, 0, 1>(fR);
-        correct_bad_edges(mad(e1u, e1u, e1v * e1v) < kTolerance * kTolerance, &e1u, &e1v, &e1r);
+        correct_bad_edges(mad(e1u, e1u, e1v * e1v) < kDist2Tolerance, &e1u, &e1v, &e1r);
 
         V4f e2u = skvx::shuffle<1, 1, 3, 3>(fU) - skvx::shuffle<0, 0, 2, 2>(fU);
         V4f e2v = skvx::shuffle<1, 1, 3, 3>(fV) - skvx::shuffle<0, 0, 2, 2>(fV);
         V4f e2r = skvx::shuffle<1, 1, 3, 3>(fR) - skvx::shuffle<0, 0, 2, 2>(fR);
-        correct_bad_edges(mad(e2u, e2u, e2v * e2v) < kTolerance * kTolerance, &e2u, &e2v, &e2r);
+        correct_bad_edges(mad(e2u, e2u, e2v * e2v) < kDist2Tolerance, &e2u, &e2v, &e2r);
 
         fU += a * e1u + b * e2u;
         fV += a * e1v + b * e2v;