History log of /external/skia/tests/PathOpsCubicIntersectionTest.cpp
Revision Date Author Comments (<<< Hide modified files) (Show modified files >>>)
7eb01e00b1a1f7c649e1e78eb3f4644033ce94ee 08-Dec-2016 Cary Clark <caryclark@google.com> simplify bug

The path contains a cubic with a very tight curve.
Split the cubic into pieces so that the individual
curves are better behaved.

Use both inflections and max curvature to
potentially split cubics. Since this may require
a bit of work, preflight to ignore cubics that
monotonically change in x and y.

Only one of the three tests referred to by the bug
below repro'd. Use path.dumpHex() instead of
path.dump() to capture the crashing data.

TBR=reed@google.com
BUG=skia:6041

Change-Id: I29a264f87242cacc7c421e7685b90aca81621c74
Reviewed-on: https://skia-review.googlesource.com/5702
Reviewed-by: Cary Clark <caryclark@google.com>
Commit-Queue: Cary Clark <caryclark@google.com>
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
a35ab3e6e024d0b548ded26a2e3b8ecd838ead93 20-Oct-2016 caryclark <caryclark@google.com> fix fuzzers

Many old pathops-related fuzz failures have built up while
the codebase was under a state a flux. Now that the code
is stable, address these failures.

Most of the CL plumbs the debug global state to downstream
routines so that, if the data is not trusted (ala fuzzed)
the function can safely exit without asserting.

TBR=reed@google.com
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2426173002

Review-Url: https://chromiumcodereview.appspot.com/2426173002
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
6c3b9cdcb047afe963c7bcf34834ba2ecccacc33 26-Sep-2016 caryclark <caryclark@google.com> fix tiger b

The tiger tests have uncovered numerous bugs.
This CL fixes the last of them.

If a pair of curves do not intersect, but
have one or both ends very close to the opposite
curve, consider that an intersection.

TBR=reed@google.com
BUG=skia:5131
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2356363003

Review-Url: https://codereview.chromium.org/2356363003
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
27c015dfcf4e2b8fb1abe327cc40204e2a4f452a 23-Sep-2016 caryclark <caryclark@google.com> split tight quads and conics

Tight quads and conics may nearly fold over on themselves, confusing
coincidence against other curves. Split them at their max curvature
early on to avoid complicating later logic.

TBR=reed@google.com
BUG=skia:5131
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2357353002

Review-Url: https://codereview.chromium.org/2357353002
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
26ad22ab61539e3d3b6bc5e0da8dcebbd52a53de 16-Oct-2015 caryclark <caryclark@google.com> Enabling clip stack flattening exercises path ops.
Iterating through the 903K skps that represent the
imagable 1M top web pages triggers a number of
bugs, some of which are addressed here.

Some web pages trigger intersecting cubic
representations of arc with their conic
counterparts. This exposed a flaw in coincident
detection that caused an infinite loop. The loop
alternatively extended the coincident section and,
determining the that the bounds of the curve pairs
did not overlap, deleted the extension.

Track the number of times the coincident detection
is called, and if it exceeds an empirically found
limit, assume that the curves are coincident and
force it to be so.

The loop count limit can be determined by enabling
DEBUG_T_SECT_LOOP_COUNT and running all tests. The
largest count is reported on completion.

Another class of bugs was caused by concident
detection duplicating nearly identical points that
had been merged earlier. To track these bugs, the
'handle coincidence' code was duplicated as a
const debug variety that reported if one of a
dozen or so irregularities are present; then it is
easier to see when a block of code that fixes one
irregularity regresses another.

Creating the debug const code version exposed some
non-debug code that could be const, and some that
was experimental and could be removed. Set
DEBUG_COINCIDENCE to track coincidence health and
handling.

For running on Chrome, DEBUG_VERIFY checks the
result of pathops against the same operation
using SkRegion to verify that the results are
nearly the same.

When visualizing the pathops work using
tools/pathops_visualizer.htm, set
DEBUG_DUMP_ALIGNMENT to see the curves after
they've been aligned for coincidence.

Other bugs fixed include detecting when a
section of a pair of curves have devolved into
lines and are coincident.

TBR=reed@google.com

Review URL: https://codereview.chromium.org/1394503003
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
6ff734b311e11ba79c0fad8602cd6e890d438cb6 04-Sep-2015 caryclark <caryclark@google.com> remove unused fields from SkOpSegment

TBR=reed@google.com

Review URL: https://codereview.chromium.org/1322413002
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
60e0fee6d4acff638ccc9670c4055aced529a7a0 26-Aug-2015 bungeman <bungeman@google.com> Remove include of stdlib.h from SkTypes.h.

Unfortunately, immintrin.h (which is also included by SkTypes)
includes xmmintrin.h which includes mm_malloc.h which includes
stdlib.h for malloc even though, from the implementation, it is
difficult to see why.

Fortunately, arm_neon.h does not seem to be involved in such
shenanigans, so building for Android will keep things sane.

TBR=reed@google.com
Doesn't change Skia API, just moves an include.

Review URL: https://codereview.chromium.org/1313203003
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
94c902e63d77641cadd76155c2b248d04f63b560 18-Aug-2015 caryclark <caryclark@google.com> fix pathops fuzz failures

If a curve has the identical start and control points, the
initial or final tangent can't be trivally determined. The
perpendicular to the tangent is used to measure coincidence.

Add logic for cubics, quadratics, and conics, to use the
secondary control points or the end points if the initial
control point alone can't determine the tangent.

Add debugging (currently untriggered by exhaustive testing)
to detect zero-length tangents which are not at the curve
endpoints.

Increase the number of temporary intersecions gathered from
10 to 12 but reduce the max passed in by cubic intersection from
27 to 12. Also, add checks if the max passed exceeds the
storage allocated.

When cleaning up parallel lines, choose the intersection which
is on the end of both segments over the intersection which
is on the end of a single segment.

TBR=reed@google.com
BUG=425140,516266

Review URL: https://codereview.chromium.org/1288863004
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
03b03cad01628146bbb8d4f33c073bd0c77ee558 23-Apr-2015 caryclark <caryclark@google.com> working on initial winding for cubics

Path ops works well for all tests except for cubics.
Isolate failures caused by cubics, and do a better job of computing
the initial winding for cubics.

TBR=reed@google.com
BUG=skia:3588

Review URL: https://codereview.chromium.org/1096923003
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
1049f1246e7be4ccb68001361efceb8933e6f81c 20-Apr-2015 caryclark <caryclark@google.com> Now, path ops natively intersect conics, quads, and cubics in any combination. There are still a class of cubic tests that fail and a handful of undiagnosed failures from skps and fuzz tests, but things are much better overall.

Extended tests (150M+) run to completion in release in about 6 minutes; the standard test suite exceeds 100K and finishes in a few seconds on desktops.

TBR=reed
BUG=skia:3588

Review URL: https://codereview.chromium.org/1037953004
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
54359294a7c9dc54802d512a5d891a35c1663392 26-Mar-2015 caryclark <caryclark@google.com> cumulative pathops patch

Replace the implicit curve intersection with a geometric curve intersection. The implicit intersection proved mathematically unstable and took a long time to zero in on an answer.

Use pointers instead of indices to refer to parts of curves. Indices required awkward renumbering.

Unify t and point values so that small intervals can be eliminated in one pass.

Break cubics up front to eliminate loops and cusps.

Make the Simplify and Op code more regular and eliminate arbitrary differences.

Add a builder that takes an array of paths and operators.

Delete unused code.

BUG=skia:3588
R=reed@google.com

Review URL: https://codereview.chromium.org/1037573004
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
0dc4dd6dda9a7912f696b46d9c02155ec1d1ba5f 24-Mar-2015 reed <reed@google.com> Revert of pathops version two (patchset #16 id:150001 of https://codereview.chromium.org/1002693002/)

Reason for revert:
ASAN investigation

Original issue's description:
> pathops version two
>
> R=reed@google.com
>
> marked 'no commit' to attempt to get trybots to run
>
> TBR=reed@google.com
>
> Committed: https://skia.googlesource.com/skia/+/ccec0f958ffc71a9986d236bc2eb335cb2111119

TBR=caryclark@google.com
NOPRESUBMIT=true
NOTREECHECKS=true
NOTRY=true

Review URL: https://codereview.chromium.org/1029993002
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
82dec0e16ae10026194ce45b67af931700510450 24-Mar-2015 caryclark <caryclark@google.com> Revert of remove obsolete tests (patchset #1 id:1 of https://codereview.chromium.org/1030883002/)

Reason for revert:
working on asan fix

Original issue's description:
> remove obsolete tests
>
> remove tests that are breaking the build -- uninitialized memory
>
> TBR=reed
>
> Committed: https://skia.googlesource.com/skia/+/e02c944e97ad6a3b8befb1f4f784919767941ba6

TBR=reed@android.com
NOPRESUBMIT=true
NOTREECHECKS=true
NOTRY=true

Review URL: https://codereview.chromium.org/1036633002
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
e02c944e97ad6a3b8befb1f4f784919767941ba6 24-Mar-2015 caryclark <caryclark@google.com> remove obsolete tests

remove tests that are breaking the build -- uninitialized memory

TBR=reed

Review URL: https://codereview.chromium.org/1030883002
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
ccec0f958ffc71a9986d236bc2eb335cb2111119 24-Mar-2015 caryclark <caryclark@google.com> pathops version two

R=reed@google.com

marked 'no commit' to attempt to get trybots to run

TBR=reed@google.com

Review URL: https://codereview.chromium.org/1002693002
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
dac1d17027dcaa5596885a9f333979418b35001c 17-Jun-2014 caryclark <caryclark@google.com> Enabling the canvas bit to turn the clip stack into a flat replace exposed around 100 failures when testing the 800K skp set generated from the top 1M web sites.

This fixes all but one of those failures.

Major changes include:
- Replace angle indices with angle pointers. This was motivated by the need to add angles later but not renumber existing angles.
- Aggressive segment chase. When the winding is known on a segment, more aggressively passing that winding to adjacent segments allows fragmented data sets to succeed.
- Line segments with ends nearly the same are treated as coincident first.
- Transfer partial coincidence by observing that if segment A is partially coincident to B and C then B and C may be partially coincident.

TBR=reed

Author: caryclark@google.com

Review URL: https://codereview.chromium.org/272153002
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
4431e7757cfcb8cfa99535eed0e9f156dabf95c2 14-Apr-2014 commit-bot@chromium.org <commit-bot@chromium.org@2bbb7eff-a529-9590-31e7-b0007b416f81> Mike R: please sanity check SkPostConfig.h
Mike K: please sanity check Test.cpp and skia_test.cpp

Feel free to look at the rest, but I don't expect any in depth review of path ops innards.

Path Ops first iteration used QuickSort to order segments radiating from an intersection to compute the winding rule.

This revision uses a circular sort instead. Breaking out the circular sort into its own long-lived structure (SkOpAngle) allows doing less work and provides a home for caching additional sorting data.

The circle sort is more stable than the former sort, has a robust ordering and fewer exceptions. It finds unsortable ordering less often. It is less reliant on the initial curve tangent, using convex hulls instead whenever it can.

Additional debug validation makes sure that the computed structures are self-consistent. A new visualization tool helps verify that the angle ordering is correct.

The 70+M tests pass with this change on Windows, Mac, Linux 32 and Linux 64 in debug and release.

R=mtklein@google.com, reed@google.com

Author: caryclark@google.com

Review URL: https://codereview.chromium.org/131103009

git-svn-id: http://skia.googlecode.com/svn/trunk@14183 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
e2eac8b2fd8966cc9af51f8d40151dad6c591d2e 14-Jan-2014 commit-bot@chromium.org <commit-bot@chromium.org@2bbb7eff-a529-9590-31e7-b0007b416f81> Move macros from TestClassDef.h to Test.h

Motivation: those macros don't make any sense without the definitions
in Test.h.

BUG=
R=mtklein@google.com

Author: halcanary@google.com

Review URL: https://codereview.chromium.org/138563004

git-svn-id: http://skia.googlecode.com/svn/trunk@13074 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
78e7b4e1b928fa69f672be3c743df6d6c3ecbced 02-Jan-2014 tfarina@chromium.org <tfarina@chromium.org@2bbb7eff-a529-9590-31e7-b0007b416f81> Get rid of DEFINE_TESTCLASS_SHORT() macro.

Instead tests should be written using DEF_TEST() macro, which is much
nicer and simplifies the process of setting up an unit test.

BUG=None
TEST=skpskgr_test, pathops_unittest
R=mtklein@google.com

Review URL: https://codereview.chromium.org/117863005

git-svn-id: http://skia.googlecode.com/svn/trunk@12870 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
927b7028d44c46e9cbc18368f16ec2262d59d94d 25-Nov-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> remove unused reduce order code

BUG=

Review URL: https://codereview.chromium.org/85763002

git-svn-id: http://skia.googlecode.com/svn/trunk@12377 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
a2bbc6e19d5332e81784e582c290cc060f40c4c7 01-Nov-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> pathops work in progress

BUG=

Review URL: https://codereview.chromium.org/52653002

git-svn-id: http://skia.googlecode.com/svn/trunk@12089 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
b0a0589f8ac0254ec1beba9db2fc32a2bedb31e5 03-Oct-2013 skia.committer@gmail.com <skia.committer@gmail.com@2bbb7eff-a529-9590-31e7-b0007b416f81> Sanitizing source files in Housekeeper-Nightly

git-svn-id: http://skia.googlecode.com/svn/trunk@11585 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
7eaa53d8f7e48fd17d02b5e3bd91f90e9c1899ef 02-Oct-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> path ops work in progress

make more skps work

remove edit files

BUG=

Review URL: https://codereview.chromium.org/23542056

git-svn-id: http://skia.googlecode.com/svn/trunk@11570 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
570863f2e22b8ea7d7c504bd15e4f766af097df2 16-Sep-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> path ops work in progress

path ops work in progress

BUG=

Review URL: https://codereview.chromium.org/21359002

git-svn-id: http://skia.googlecode.com/svn/trunk@11291 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
7f1af501f206da48a7ff791af53432c9c1c89d08 24-Jul-2013 skia.committer@gmail.com <skia.committer@gmail.com@2bbb7eff-a529-9590-31e7-b0007b416f81> Sanitizing source files in Housekeeper-Nightly

git-svn-id: http://skia.googlecode.com/svn/trunk@10299 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
4fdbb229649caf74e5c1b55a1823926df903af34 23-Jul-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> turn off debugging printfs

fix pathops issues 1417, 1418

be more rigorous about pulling intersections of lines to end points
rewrite cubic/line and quad/line intersections to share style

BUG=

Review URL: https://codereview.chromium.org/19543005

git-svn-id: http://skia.googlecode.com/svn/trunk@10270 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
8d0a524a4847bc7e1cc63a93b78922739466c201 16-Jul-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> harden and speed up path op unit tests

PathOps tests internal routines direcctly. Check to make sure that
test points, lines, quads, curves, triangles, and bounds read from
arrays are valid (i.e., don't contain NaN) before calling the
test function.

Repurpose the test flags.
- make 'v' verbose test region output against path output
- make 'z' single threaded (before it made it multithreaded)

The latter change speeds up tests run by the buildbot by 2x to 3x.

BUG=

Review URL: https://codereview.chromium.org/19374003

git-svn-id: http://skia.googlecode.com/svn/trunk@10107 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
5ec2b1ee8a8265c0d46092c801407073f46b3451 15-Jul-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> call newOneOff instead of oneOff

calling the latter instead of the former walked off the end of the
array causing mysterious bugs

TODO: safeguard against NaNs in the input

BUG=

Review URL: https://codereview.chromium.org/19280002

git-svn-id: http://skia.googlecode.com/svn/trunk@10093 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
8dcea7dcf96aeed5cf8d3afdf62330d73dd93c71 15-Jul-2013 robertphillips@google.com <robertphillips@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> Fix compiler warning/error in r10079



git-svn-id: http://skia.googlecode.com/svn/trunk@10081 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
3dd2784cb7409d969f91d8948c315b9d24a84d0b 15-Jul-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> add florin tests

hopefully fix build

BUG=

Review URL: https://codereview.chromium.org/19183005

git-svn-id: http://skia.googlecode.com/svn/trunk@10079 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
fa2aeee27af27f2934ee52a9732148f66481fb03 15-Jul-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> path ops near exact

Modify line intersections to first
- match exact ends
- compute intersections
- match near ends
where the exact ends are preferred, then near matches, then
computed matches. This pulls matches towards existing end points
when possible, and keeps intersection distances consistent with
different line/line line/quad and line/cubic computations.

BUG=

Review URL: https://codereview.chromium.org/19183003

git-svn-id: http://skia.googlecode.com/svn/trunk@10073 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
07e97fccd2d85076cd22ef411b0773ab92a18abe 08-Jul-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> path ops work in progress

BUG=

Review URL: https://codereview.chromium.org/18058007

git-svn-id: http://skia.googlecode.com/svn/trunk@9908 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
d892bd8ba676d34d4ce4a73ac7aad88e102fad70 17-Jun-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> convert pathops to use SkSTArray where possible.

Replace SkTDArray with SkTArray and use SkSTArray when
the probable array size is known.

In a couple of places (spans, chases) the arrays are
constructed using insert() so SkTArrays can't be used for
now.

Also, add an optimization to cubic subdivide if either end
is zero or one.

BUG=

Review URL: https://codereview.chromium.org/16951017

git-svn-id: http://skia.googlecode.com/svn/trunk@9635 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
cffbcc3b9665f2c928544b6fc6b8a0e22a4210fb 04-Jun-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> path ops -- rewrite angle sort

This is a major change resulting from a minor
tweak. In the old code, the intersection point
of two curves was shared between them, but the
intersection points and end points of sorted edges was
computed directly from the intersection T value.

In this CL, both intersection points and sorted points
are the same, and intermediate control points are computed
to preserve their slope.

The sort itself has been completely rewritten to be more
robust and remove 'magic' checks, conditions that empirically
worked but couldn't be rationalized.

This CL was triggered by errors generated computing the clips
of SKP files. At this point, all 73M standard tests work and
at least the first troublesome SKPs work.

Review URL: https://codereview.chromium.org/15338003

git-svn-id: http://skia.googlecode.com/svn/trunk@9432 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
a5e55925ea03e76885804bda77408a1d6f04c335 07-May-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> path ops -- fix skp bugs

This fixes a series of bugs discovered by running
the small set of Skia skp files through pathops
to flatten the clips.
Review URL: https://codereview.chromium.org/14798004

git-svn-id: http://skia.googlecode.com/svn/trunk@9042 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
b3f0921fba9457ba7ea79f220d8c1ec9345bfd3a 17-Apr-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> shape ops work in progress

Try to fix the 32 bit build by making some math
decisions more robust.

Rewrite the cubic intersection special case that
detects if only end points are shared.

Rewrite the angle sort setup that computes whether
a cubic bends to the left or right.

git-svn-id: http://skia.googlecode.com/svn/trunk@8726 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
ad65a3e5fb1f94699f183551b828efbcc6a133ce 15-Apr-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> path ops work in progress

standardize tests
use SK_ARRAY_COUNT everywhere
debug why x87 differs from SIMD 64
various platform specific fixes

git-svn-id: http://skia.googlecode.com/svn/trunk@8689 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
db60de7cbe3ea9643a0471e1225a6abeac021de3 11-Apr-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> shape ops test fixes

- fix rand for Android
- build unit test on linux
- use atomic inc in test count
- add casting for Android

git-svn-id: http://skia.googlecode.com/svn/trunk@8610 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp
9166dcb3a0e8784bea83d76ae01aa338c049ae05 08-Apr-2013 caryclark@google.com <caryclark@google.com@2bbb7eff-a529-9590-31e7-b0007b416f81> Add intersections for path ops

This CL depends on
https://codereview.chromium.org/12827020/
"Add base types for path ops"

The intersection of a line, quadratic, or cubic
with another curve (or with itself) is found by
solving the implicit equation for the curve pair.

The curves are first reduced to find the simplest
form that will describe the original, and to detect
degenerate or special-case data like horizontal and
vertical lines.

For cubic self-intersection, and for a pair of cubics,
the intersection is found by recursively
approximating the cubic with a series of quadratics.

The implicit solutions depend on the root finding
contained in the DCubic and DQuad structs, and
the quartic root finder included here.
Review URL: https://codereview.chromium.org/12880016

git-svn-id: http://skia.googlecode.com/svn/trunk@8552 2bbb7eff-a529-9590-31e7-b0007b416f81
/external/skia/tests/PathOpsCubicIntersectionTest.cpp