GrTessellator (AA): improve antialiasing of thin shapes.

(Long description, but actually quite a small change.)

This is the first change inspired by the "straight skeleton" algorithm.
This algorithm gives us a mental model to describe the edge-antialiasing
problem: consider the shape as walls of a house, the outer alpha
geometry is a 45-degree "roof" up to a flat top at a height of 1.0
(the filled interior).  The faces of the sloping roof join at the
bisectors between the inner and outer points.

When the shape being drawn is sufficiently thin, there should be no flat
roof, and the sloping roof meets at an edge (the straight skeleton).

This patch detects cases where an edge inverts on stroking, which
indicates that the flat roof has turned inside out, and should be
reduced to a point instead. The model above describes what to do:
follow down the "roof" along the bisectors to their intersection.
This is the point to which an inverted edge should be collapsed.
Fortunately, the bisector edges are easy to compute: they're the
connector edges joining inner and outer points. Linearly interpolating
the distance from the top to the bottom point gives the alpha we
should use to approximate coverage.

Now that we are correctly handling inversions, bevelling outer edges
is no longer necesary, since pointy outer edges won't cause nasty
opaque artifacts.

A couple of other quality improvements: on intersection, always lerp
the alpha of connector edge, even if the opposite edge is an inner edge
(later, when these edges are collapsed, we need this value to compute
the correct alpha). Fix the case where an intruding outer vertex
intersects exactly with an inner edge by maxing its alpha with the
computed value in check_for_intersection(). Finally, we also no longer
round off the intersections produced by Line::intersect(), since it
introduces a loss of quality with no measurable performance benefit.

Change-Id: I6fd93df3a57fffc0895e8cb68adbdba626ded0f1
Reviewed-on: https://skia-review.googlesource.com/8028
Reviewed-by: Brian Salomon <bsalomon@google.com>
Commit-Queue: Stephan White <senorblanco@chromium.org>
2 files changed