| Commit message (Collapse) | Author | Age |
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Attempt two. Remove ~SkOpContour because it is handled by the SkArenaAlloc.
Change-Id: Id3049db97aebcc1009d403a031f2fac219f58f2f
Reviewed-on: https://skia-review.googlesource.com/9381
Reviewed-by: Derek Sollenberger <djsollen@google.com>
Commit-Queue: Herb Derby <herb@google.com>
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This reverts commit 38c60180241e335e368fdadbf7856aff114ff668.
Reason for revert: breaking ASAN run in TAP build
Original change's description:
> Move from SkChunkAlloc to SkArenaAlloc for PathOps
>
> Change-Id: Iab111a4ebcae4e896b1fdfe285def9ef0ae2ab6b
> Reviewed-on: https://skia-review.googlesource.com/7314
> Reviewed-by: Cary Clark <caryclark@google.com>
> Commit-Queue: Herb Derby <herb@google.com>
>
TBR=herb@google.com,caryclark@google.com,reviews@skia.org
NOPRESUBMIT=true
NOTREECHECKS=true
NOTRY=true
Change-Id: I6364254571bb1617a9f45ed08f2af4a59f9d5841
Reviewed-on: https://skia-review.googlesource.com/9335
Reviewed-by: Derek Sollenberger <djsollen@google.com>
Commit-Queue: Derek Sollenberger <djsollen@google.com>
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Change-Id: Iab111a4ebcae4e896b1fdfe285def9ef0ae2ab6b
Reviewed-on: https://skia-review.googlesource.com/7314
Reviewed-by: Cary Clark <caryclark@google.com>
Commit-Queue: Herb Derby <herb@google.com>
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This reverts commit d2eb581ebc8f8009e80cccccd74d5b341ef5bd5b.
Reason for revert: broke Google3 MSAN run of dm
Original change's description:
> offset angle check edge in common
>
> When curves cross, their intersection points may be nearby, but not exactly the same.
> Sort the angles formed by the crossing curves when all angles don't have the same
> origin.
>
> This sets up the framework to solve test case that currently fail (e.g., joel6) but
> does not fix all related test cases (e.g., joel9).
>
> All older existing test cases, including extended tests, pass.
>
> Rework the test framework to better report when tests expected to produce failing
> results now pass.
>
> Add new point and vector operations to support offset angles.
>
> TBR=reed@google.com
> BUG=skia:6041
>
> Change-Id: I67c651ded0a25e99ad93d55d6a35109b3ee3698e
> Reviewed-on: https://skia-review.googlesource.com/6624
> Commit-Queue: Cary Clark <caryclark@google.com>
> Reviewed-by: Cary Clark <caryclark@google.com>
>
TBR=caryclark@google.com,reviews@skia.org
# Not skipping CQ checks because original CL landed > 1 day ago.
BUG=skia:6041
Change-Id: I43db0808522ac44aceeb4f70e296167ea84a3663
Reviewed-on: https://skia-review.googlesource.com/7373
Commit-Queue: Cary Clark <caryclark@google.com>
Reviewed-by: Cary Clark <caryclark@google.com>
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When curves cross, their intersection points may be nearby, but not exactly the same.
Sort the angles formed by the crossing curves when all angles don't have the same
origin.
This sets up the framework to solve test case that currently fail (e.g., joel6) but
does not fix all related test cases (e.g., joel9).
All older existing test cases, including extended tests, pass.
Rework the test framework to better report when tests expected to produce failing
results now pass.
Add new point and vector operations to support offset angles.
TBR=reed@google.com
BUG=skia:6041
Change-Id: I67c651ded0a25e99ad93d55d6a35109b3ee3698e
Reviewed-on: https://skia-review.googlesource.com/6624
Commit-Queue: Cary Clark <caryclark@google.com>
Reviewed-by: Cary Clark <caryclark@google.com>
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BUG=666707
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=5089
CQ_INCLUDE_TRYBOTS=master.client.skia:Test-Ubuntu-GCC-GCE-CPU-AVX2-x86_64-Release-SKNX_NO_SIMD-Trybot
Change-Id: I3bebfdf635d541d92fb84236f0f6fae2da39d691
Reviewed-on: https://skia-review.googlesource.com/5089
Reviewed-by: Bruce Dawson <brucedawson@google.com>
Reviewed-by: Herb Derby <herb@google.com>
Commit-Queue: Mike Klein <mtklein@chromium.org>
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FLT_EPSILON_SQRT is initialized with a call to sqrt which, in release
builds on Windows, results in an initializer call (on official release
builds this is optimized away). On Windows release (all flavors)
builds this also triggers duplicate instantiations of the variable
(always a risk with non-integral const variables defined in header
files) with 32 copies ending up in both chrome.dll and chrome_child.dll.
This change avoids the run-time initializer and as a side effect it
also avoids most or all of the duplication. Section size savings in a
Windows 32-bit release official build are:
chrome.dll
.text: -64 bytes change
.rdata: -16 bytes change
.data: -256 bytes change
.reloc: -116 bytes change
Total change: -452 bytes
chrome_child.dll
.text: 160 bytes change
.rdata: -144 bytes change
.data: -256 bytes change
.reloc: -60 bytes change
Total change: -300 bytes
A more complete fix would include using extern const to declare these
constants in the header file but define them once in a .cc file, but
it's not clear that this is necessary.
The size savings on non-official builds are greater. The increase in
the .text segment is odd, but harmless since those bytes are shared.
BUG=630755
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=5061
Change-Id: I53d0cdc38e022039646df491d824a1aaf11def80
Reviewed-on: https://skia-review.googlesource.com/5061
Reviewed-by: Cary Clark <caryclark@google.com>
Reviewed-by: Bruce Dawson <brucedawson@google.com>
Commit-Queue: Cary Clark <caryclark@google.com>
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Pathops writes files, anticipating upcoming crashes,
and verifies the results against regions.
Formalize these debugging methods so that they
are more easily triggered by hosts outside of
skia unit tests.
TBR=reed@google.com
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2441763003
Review-Url: https://codereview.chromium.org/2441763003
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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
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Use code coverage and a new '-c' flag to find
and remove unneeded code.
TBR=reed@google.com
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2397593002
patch from issue 2397593002 at patchset 1 (http://crrev.com/2397593002#ps1)
Change-Id: I741a82de9191146c10457d4c0b9cb9605dff2069
Reviewed-on: https://skia-review.googlesource.com/2983
Reviewed-by: Cary Clark <caryclark@google.com>
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This extends path ops concidence debugging
to find unused algorithms and determine the extent
of loops.
This verifies that all 140M tests run without error
in release and debug.
TBR=reed@google.com
BUG=skia:
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2391733002
patch from issue 2391733002 at patchset 1 (http://crrev.com/2391733002#ps1)
Change-Id: I02ca29764405c5ac3e7ca3b2621fba28dbaaffc2
Reviewed-on: https://skia-review.googlesource.com/2923
Reviewed-by: Cary Clark <caryclark@google.com>
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This is working towards fixing all bugs around simplifying the tiger.
This installment simplifies the point-t intersection list as it is built rather than doing the analysis once the intersections are complete. This avoids getting the list in an inconsistent state and makes coincident checks faster and more stable.
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2237223002
TBR=reed@google.com
BUG=skia:5131
Review-Url: https://codereview.chromium.org/2237223002
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The addT() function is a workhorse of pathops.
Make it simpler, removing branches and parameters.
Separate addOpp() into const and modify parts.
Add more debugging that asserts if the function
fails and the data is not extreme (e.g., fuzzer
generated).
TBR=reed@google.com
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2273293004
Review-Url: https://codereview.chromium.org/2273293004
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Add ability for intersection template to detect that
the test contains bounded numbers so that extra
asserts can trigger.
Add some exit points for out of range numbers
in those templates.
TBR=reed@google.com
BUG=631383,631374,631360
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2185703002
Review-Url: https://codereview.chromium.org/2185703002
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If no closest section is found in conic intersection
(which can happen if the numbers are out of range)
abort the intersection.
Also suppress assert fired in this case so it only
checks intersections with in-range values.
TBR=reed@google.com
BUG=630378
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2166813006
Review-Url: https://codereview.chromium.org/2166813006
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Fix another fuzzer bug.
Some PathOps asserts only make sense if the incoming data is
well-behaved. Well-behaved tests set debugging state to
trigger these additional asserts.
Formalize this by creating macros similar to SkASSERT that
check to see if the assert should be skipped.
TBR=reed@google.com
BUG=629962
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2169863002
Review-Url: https://codereview.chromium.org/2169863002
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Most changes stem from working on an examples bracketed
by #if DEBUG_UNDER_DEVELOPMENT // tiger
These exposed many problems with coincident curves,
as well as errors throughout the code.
Fixing these errors also fixed a number of fuzzer-inspired
bug reports.
* Line/Curve Intersections
Check to see if the end of the line nearly intersects
the curve. This was a FIXME in the old code.
* Performance
Use a central chunk allocator.
Plumb the allocator into the global variable state
so that it can be shared. (Note that 'SkGlobalState'
is allocated on the stack and is visible to children
functions but not other threads.)
* Refactor
Let SkOpAngle grow up from a structure to a class.
Let SkCoincidentSpans grow up from a structure to a class.
Rename enum Alias to AliasMatch.
* Coincidence Rewrite
Add more debugging to coincidence detection.
Parallel debugging routines have read-only logic to report
the current coincidence state so that steps through the
logic can expose whether things got better or worse.
More functions can error-out and cause the pathops
engine to non-destructively exit.
* Accuracy
Remove code that adjusted point locations. Instead,
offset the curve part so that sorted curves all use
the same origin.
Reduce the size (and influence) of magic numbers.
* Testing
The debug suite with verify and the full release suite
./out/Debug/pathops_unittest -v -V
./out/Release/pathops_unittest -v -V -x
expose one error. That error is captured as cubics_d3.
This error exists in the checked in code as well.
BUG=skia:
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2128633003
BUG=skia:
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2128633003
Review-Url: https://codereview.chromium.org/2128633003
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Fail out in a couple of new places when the input data is very
large and exceeds the limits of the pathops machinery.
Most of the change here plumbs in a way to exclude an assert in
one of these exceptional cases. The current SkAddIntersection
implementation and the inner functions it calls has no way to
report an error to the root caller for an early exit, so rather
than add that in, exclude the assert when the test that would
trigger it runs (allowing the test to otherwise ensure that it
properly fails).
TBR=reed@google.com
BUG=617586,617635
GOLD_TRYBOT_URL= https://gold.skia.org/search?issue=2046713003
Review-Url: https://codereview.chromium.org/2046713003
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Mike points that the the ulps compares
rank high in path ops profiles. The
check for finite scalars is rarely
required.
Call it less by:
- specializing _pin version of compares
- checking for 0 divides up front
- handling failing cases before comparing
- casting float to double before adding
R=reed@google.com
Review URL: https://codereview.chromium.org/1522183002
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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
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Mark collapsed segments as done and remove collapsed
segment references from the coincidence array.
Also add test names to global debugging.
R=fmalita@chromium.org
BUG=512592
Review URL: https://codereview.chromium.org/1250293002
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to compute the overlapping ranges and combine the winding
into a single destination.
This computes coincidence more rigorously, fixing the
edge cases exposed by this bug.
Also, add the ability to debug and dump pathop structures
from the coincident context.
TBR=reed@google.com
BUG=skia:3651
Review URL: https://codereview.chromium.org/1182493015
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Record the nesting level when finding the edge winding contribution
so that inner edges can be reversed as needed.
R=fmalita@chromium.org
BUG=skia:3838
Review URL: https://codereview.chromium.org/1140383002
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added, and reverse windings if the contours are nested in other contours.
Cheap (one contour) paths can be evaluated and reversed as needed with a minimum of checking, but multi-contour paths invoke the regular path ops machinery to determine who is contained by whom.
More tests need to be added to verify that all corner cases are considered, but this fixes the cases in the bug thus far.
R=fmalita@chromium.org
TBR=reed@google.com
BUG=skia:3838
Review URL: https://codereview.chromium.org/1129193006
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angle sort order to initialize the winding. This never worked correctly with cubics and was flaky with paths consisting mostly of vertical edges.
This replacement shoots axis-aligned rays through all intersecting edges to find the outermost one either horizontally or vertically. The resulting code is smaller and twice as fast.
To support this, most of the horizontal / vertical intersection code was rewritten and standardized, and old code supporting the top-directed winding was deleted.
Contours were pointed to by an SkTDArray. Instead, put them in a linked list, and designate the list head with its own class to ensure that methods that take lists of contours start at the top. This change removed a large percentage of memory allocations used by path ops.
TBR=reed@google.com
BUG=skia:3588
Review URL: https://codereview.chromium.org/1111333002
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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
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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
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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
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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
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have tiny line segments embedded and double back to create near-coincident conditions.
The fixes include
- detect when finding the active top loops between two possible answers
- preflight chasing winding to ensure answer is consistent
- binary search more often when quadratic intersection fails
- add more failure paths when an intersect is missed
While this fixes the chrome bug, reenabling path ops in svg should be deferred until additional fixes are landed.
TBR=
BUG=421132
Committed: https://skia.googlesource.com/skia/+/6f726addf3178b01949bb389ef83cf14a1d7b6b2
Review URL: https://codereview.chromium.org/633393002
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https://codereview.chromium.org/633393002/)
Reason for revert:
Compile errors on bots
Original issue's description:
> These tests stress pathops by describing the union of circle-like paths that have tiny line segments embedded and double back to create near-coincident conditions.
>
> The fixes include
> - detect when finding the active top loops between two possible answers
> - preflight chasing winding to ensure answer is consistent
> - binary search more often when quadratic intersection fails
> - add more failure paths when an intersect is missed
>
> While this fixes the chrome bug, reenabling path ops in svg should be deferred until additional fixes are landed.
>
> TBR=
> BUG=421132
>
> Committed: https://skia.googlesource.com/skia/+/6f726addf3178b01949bb389ef83cf14a1d7b6b2
TBR=caryclark@google.com
NOTREECHECKS=true
NOTRY=true
BUG=421132
Review URL: https://codereview.chromium.org/686843002
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have tiny line segments embedded and double back to create near-coincident conditions.
The fixes include
- detect when finding the active top loops between two possible answers
- preflight chasing winding to ensure answer is consistent
- binary search more often when quadratic intersection fails
- add more failure paths when an intersect is missed
While this fixes the chrome bug, reenabling path ops in svg should be deferred until additional fixes are landed.
TBR=
BUG=421132
Review URL: https://codereview.chromium.org/633393002
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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
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as a fallback.
The cubic line intersection math empirically works 99.99% of the time (fails 3100 out of 1B random tests) but when it fails, an intersection may be missed altogether.
The binary search is may not find a solution if the cubic line failed to find any solutions at all, but so far that case hasn't arisen.
BUG=skia:2504
TBR=reed@google.com
Author: caryclark@google.com
Review URL: https://codereview.chromium.org/266063003
git-svn-id: http://skia.googlecode.com/svn/trunk@14614 2bbb7eff-a529-9590-31e7-b0007b416f81
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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
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BUG=
Review URL: https://codereview.chromium.org/52653002
git-svn-id: http://skia.googlecode.com/svn/trunk@12089 2bbb7eff-a529-9590-31e7-b0007b416f81
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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
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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
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BUG=
R=robertphillips@google.com
Review URL: https://codereview.chromium.org/22875037
git-svn-id: http://skia.googlecode.com/svn/trunk@10874 2bbb7eff-a529-9590-31e7-b0007b416f81
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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
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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
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BUG=
Review URL: https://codereview.chromium.org/18058007
git-svn-id: http://skia.googlecode.com/svn/trunk@9908 2bbb7eff-a529-9590-31e7-b0007b416f81
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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
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enable conics in SkPath
git-svn-id: http://skia.googlecode.com/svn/trunk@9370 2bbb7eff-a529-9590-31e7-b0007b416f81
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This reverts commit b4775ac7b55802e87231768f002e4b42f233b0aa.
git-svn-id: http://skia.googlecode.com/svn/trunk@9347 2bbb7eff-a529-9590-31e7-b0007b416f81
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patch from issue 16153005
BUG=
Review URL: https://codereview.chromium.org/16195004
git-svn-id: http://skia.googlecode.com/svn/trunk@9344 2bbb7eff-a529-9590-31e7-b0007b416f81
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this addresses a few FIXME issues
- speed up implicit quad computation
- use ulps instead of epsilon
- assert on bad line results more often
git-svn-id: http://skia.googlecode.com/svn/trunk@8823 2bbb7eff-a529-9590-31e7-b0007b416f81
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fix a comment or two as well
Review URL: https://codereview.chromium.org/13934009
git-svn-id: http://skia.googlecode.com/svn/trunk@8822 2bbb7eff-a529-9590-31e7-b0007b416f81
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fix bugs in tests on 32 bit release
Most changes revolve around pinning computed t values
very close to zero and one.
git-svn-id: http://skia.googlecode.com/svn/trunk@8745 2bbb7eff-a529-9590-31e7-b0007b416f81
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Paths contain lines, quads, and cubics, which are
collectively curves.
To work with path intersections, intermediary curves
are constructed. For now, those intermediates use
doubles to guarantee sufficient precision.
The DVector, DPoint, DLine, DQuad, and DCubic
structs encapsulate these intermediate curves.
The DRect and DTriangle structs are created to
describe intersectable areas of interest.
The Bounds struct inherits from SkRect to create
a SkScalar-based rectangle that intersects shared
edges.
This also includes common math equalities and
debugging that the remainder of path ops builds on,
as well as a temporary top-level interface in
include/pathops/SkPathOps.h.
Review URL: https://codereview.chromium.org/12827020
git-svn-id: http://skia.googlecode.com/svn/trunk@8551 2bbb7eff-a529-9590-31e7-b0007b416f81
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