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skia2/tests/PathOpsCubicIntersectionTestData.cpp

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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
2013-04-08 11:50:00 +00:00
/*
* Copyright 2012 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
Cleanup: Sanitize the order of includes under tests/ Initially this was to make sure Test.h appeared after the Sk*.h includes. Patch generated by the following command line: $ ~/chromium/src/tools/sort-headers.py tests/*.cpp BUG=None TEST=tests R=robertphillips@google.com Review URL: https://codereview.chromium.org/145313004 git-svn-id: http://skia.googlecode.com/svn/trunk@13177 2bbb7eff-a529-9590-31e7-b0007b416f81
2014-01-24 20:56:26 +00:00
rewrite includes to not need so much -Ifoo Current strategy: everything from the top Things to look at first are the manual changes: - added tools/rewrite_includes.py - removed -Idirectives from BUILD.gn - various compile.sh simplifications - tweak tools/embed_resources.py - update gn/find_headers.py to write paths from the top - update gn/gn_to_bp.py SkUserConfig.h layout so that #include "include/config/SkUserConfig.h" always gets the header we want. No-Presubmit: true Change-Id: I73a4b181654e0e38d229bc456c0d0854bae3363e Reviewed-on: https://skia-review.googlesource.com/c/skia/+/209706 Commit-Queue: Mike Klein <mtklein@google.com> Reviewed-by: Hal Canary <halcanary@google.com> Reviewed-by: Brian Osman <brianosman@google.com> Reviewed-by: Florin Malita <fmalita@chromium.org>
2019-04-23 17:05:21 +00:00
#include "tests/PathOpsCubicIntersectionTestData.h"
Cleanup: Sanitize the order of includes under tests/ Initially this was to make sure Test.h appeared after the Sk*.h includes. Patch generated by the following command line: $ ~/chromium/src/tools/sort-headers.py tests/*.cpp BUG=None TEST=tests R=robertphillips@google.com Review URL: https://codereview.chromium.org/145313004 git-svn-id: http://skia.googlecode.com/svn/trunk@13177 2bbb7eff-a529-9590-31e7-b0007b416f81
2014-01-24 20:56:26 +00:00
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
2013-04-08 11:50:00 +00:00
#include <limits>
static const double D = FLT_EPSILON / 2;
static const double G = FLT_EPSILON / 3;
static const double N = -FLT_EPSILON / 2;
static const double M = -FLT_EPSILON / 3;
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
2016-10-20 15:32:18 +00:00
const CubicPts pointDegenerates[] = {
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
2013-04-08 11:50:00 +00:00
{{{0, 0}, {0, 0}, {0, 0}, {0, 0}}},
{{{1, 1}, {1, 1}, {1, 1}, {1, 1}}},
{{{1 + FLT_EPSILON_HALF, 1}, {1, 1 + FLT_EPSILON_HALF}, {1, 1}, {1, 1}}},
{{{1 + D, 1}, {1 - D, 1}, {1, 1}, {1, 1}}},
{{{0, 0}, {0, 0}, {1, 0}, {0, 0}}},
{{{0, 0}, {1, 0}, {0, 0}, {0, 0}}},
{{{0, 0}, {0, 0}, {0, 1}, {0, 0}}},
{{{0, 0}, {0, 1}, {0, 0}, {0, 0}}},
{{{0, 0}, {0, 0}, {1, 1}, {0, 0}}},
{{{0, 0}, {1, 1}, {0, 0}, {0, 0}}},
{{{0, 0}, {1, 1}, {2, 2}, {0, 0}}},
{{{1, 1}, {2, 2}, {2, 2}, {1, 1}}},
{{{0, 0}, {0, D}, {1, 0}, {0, 0}}},
{{{0, 0}, {1, 0}, {0, D}, {0, 0}}},
{{{0, 0}, {D, 0}, {0, 1}, {0, 0}}},
{{{0, 0}, {0, 1}, {D, 0}, {0, 0}}},
{{{1, 1}, {2, 2}, {2, 2+D}, {1, 1}}},
{{{0, 0}, {0, N}, {1, 0}, {0, 0}}},
{{{0, 0}, {1, 0}, {0, N}, {0, 0}}},
{{{0, 0}, {N, 0}, {0, 1}, {0, 0}}},
{{{0, 0}, {0, 1}, {N, 0}, {0, 0}}},
{{{0, 0}, {1, 1}, {N, 0}, {0, 0}}},
{{{0, 0}, {D, 0}, {1, 1}, {0, 0}}},
{{{0, 0}, {1, 1}, {D, 0}, {0, 0}}},
{{{0, 0}, {N, 0}, {1, 1}, {0, 0}}},
{{{1, 1}, {2, 2}, {2, 2+N}, {1, 1}}},
};
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
2013-04-15 19:13:59 +00:00
const size_t pointDegenerates_count = SK_ARRAY_COUNT(pointDegenerates);
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
2013-04-08 11:50:00 +00:00
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
2016-10-20 15:32:18 +00:00
const CubicPts notPointDegenerates[] = {
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
2015-03-26 14:52:43 +00:00
{{{1 + FLT_EPSILON * 8, 1}, {1, FLT_EPSILON * 8}, {1, 1}, {1, 1}}},
{{{1 + FLT_EPSILON * 8, 1}, {1 - FLT_EPSILON * 8, 1}, {1, 1}, {1, 1}}}
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
2013-04-08 11:50:00 +00:00
};
const size_t notPointDegenerates_count =
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
2013-04-15 19:13:59 +00:00
SK_ARRAY_COUNT(notPointDegenerates);
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
2013-04-08 11:50:00 +00:00
// from http://www.truetex.com/bezint.htm
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
2016-10-20 15:32:18 +00:00
const CubicPts tests[][2] = {
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
2013-04-08 11:50:00 +00:00
{ // intersects in one place (data gives bezier clip fits
{{{0, 45},
{6.0094158284751593, 51.610357411322688},
{12.741093228940867, 55.981703949474607},
{20.021417396476362, 58.652245509710262}}},
{{{2.2070737699246674, 52.703494107327209},
{31.591482272629477, 23.811002295222025},
{76.824588616426425, 44.049473790502674},
{119.25488947221436, 55.599248272955073}}}
}, { // intersects in three places
{{{0, 45}, {50, 100}, {150, 0}, {200, 55}}},
{{{0, 55}, {50, 0}, {150, 100}, {200, 45}}}
}, { // intersects in one place, cross over is nearly parallel
{{{0, 0}, {0, 100}, {200, 0}, {200, 100}}},
{{{0, 100}, {0, 0}, {200, 100}, {200, 0}}}
}, { // intersects in two places
{{{0, 0}, {0, 100}, {200, 100}, {200, 0}}},
{{{0, 100}, {0, 0}, {200, 0}, {200, 100}}}
}, {
{{{150, 100}, {150 + 0.1, 150}, {150, 200}, {150, 250}}},
{{{250, 150}, {200, 150 + 0.1}, {150, 150}, {100, 150}}}
}, { // single intersection around 168,185
{{{200, 100}, {150, 100}, {150, 150}, {200, 150}}},
{{{250, 150}, {250, 100}, {100, 100}, {100, 150}}}
}, {
{{{1.0, 1.5}, {15.5, 0.5}, {-8.0, 3.5}, {5.0, 1.5}}},
{{{4.0, 0.5}, {5.0, 15.0}, {2.0, -8.5}, {4.0, 4.5}}}
}, {
{{{664.00168, 0}, {726.11545, 124.22757}, {736.89069, 267.89743},
{694.0017, 400.0002}}},
{{{850.66843, 115.55563}, {728.515, 115.55563}, {725.21347, 275.15309},
{694.0017, 400.0002}}}
}, {
{{{1, 1}, {12.5, 6.5}, {-4, 6.5}, {7.5, 1}}},
{{{1, 6.5}, {12.5, 1}, {-4, 1}, {.5, 6}}}
}, {
{{{315.748, 312.84}, {312.644, 318.134}, {305.836, 319.909}, {300.542, 316.804}}},
{{{317.122, 309.05}, {316.112, 315.102}, {310.385, 319.19}, {304.332, 318.179}}}
}, {
{{{1046.604051, 172.937967}, {1046.604051, 178.9763059}, {1041.76745, 183.9279165}, {1035.703842, 184.0432409}}},
{{{1046.452235, 174.7640504}, {1045.544872, 180.1973817}, {1040.837966, 184.0469882}, {1035.505925, 184.0469882}}}
}, {
{{{125.79356, 199.57382}, {51.16556, 128.93575}, {87.494, 16.67848}, {167.29361, 16.67848}}},
{{{167.29361, 55.81876}, {100.36128, 55.81876}, {68.64099, 145.4755}, {125.7942, 199.57309}}}
Make parallel unit testing work on windows Review URL: https://codereview.chromium.org/14072002 git-svn-id: http://skia.googlecode.com/svn/trunk@8594 2bbb7eff-a529-9590-31e7-b0007b416f81
2013-04-10 15:55:37 +00:00
}, {
{{{104.11546583642826, 370.21352558595504}, {122.96968232592344, 404.54489231839295},
{169.90881005384728, 425.00067000000007}, {221.33045999999999, 425.00067000000001}}},
{{{116.32365976159625, 381.71048540582598}, {103.86096590870899, 381.71048540581626},
{91.394188003200725, 377.17917781762833}, {82.622283093355179, 368.11683661930334}}}
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
2013-04-08 11:50:00 +00:00
}
};
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
2013-04-15 19:13:59 +00:00
const size_t tests_count = SK_ARRAY_COUNT(tests);
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
2013-04-08 11:50:00 +00:00
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
2016-10-20 15:32:18 +00:00
const CubicPts lines[] = {
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
2013-04-08 11:50:00 +00:00
{{{0, 0}, {0, 0}, {0, 0}, {1, 0}}}, // 0: horizontal
{{{1, 0}, {0, 0}, {0, 0}, {0, 0}}},
{{{1, 0}, {2, 0}, {3, 0}, {4, 0}}},
{{{0, 0}, {0, 0}, {0, 0}, {0, 1}}}, // 5: vertical
{{{0, 1}, {0, 0}, {0, 0}, {0, 0}}},
{{{0, 1}, {0, 2}, {0, 3}, {0, 4}}},
{{{0, 0}, {0, 0}, {0, 0}, {1, 1}}}, // 10: 3 coincident
{{{1, 1}, {0, 0}, {0, 0}, {0, 0}}},
{{{0, 0}, {0, 0}, {1, 1}, {2, 2}}}, // 14: 2 coincident
{{{0, 0}, {1, 1}, {0, 0}, {2, 2}}},
{{{1, 1}, {0, 0}, {0, 0}, {2, 2}}}, // 17:
{{{1, 1}, {0, 0}, {2, 2}, {0, 0}}},
{{{1, 1}, {2, 2}, {0, 0}, {0, 0}}},
{{{1, 1}, {2, 2}, {3, 3}, {2, 2}}}, // middle-last coincident
{{{1, 1}, {2, 2}, {3, 3}, {3, 3}}}, // middle-last coincident
{{{1, 1}, {1, 1}, {2, 2}, {2, 2}}}, // 2 pairs coincident
{{{1, 1}, {2, 2}, {1, 1}, {2, 2}}},
{{{1, 1}, {1, 1}, {3, 3}, {3, 3}}}, // first-middle middle-last coincident
{{{1, 1}, {2, 2}, {3, 3}, {4, 4}}}, // no coincident
{{{1, 1}, {3, 3}, {2, 2}, {4, 4}}},
{{{1, 1}, {2, 2}, {4, 4}, {3, 3}}},
{{{1, 1}, {3, 3}, {4, 4}, {2, 2}}},
{{{1, 1}, {4, 4}, {2, 2}, {3, 3}}},
{{{1, 1}, {4, 4}, {3, 3}, {2, 2}}},
{{{2, 2}, {1, 1}, {3, 3}, {4, 4}}},
{{{2, 2}, {1, 1}, {4, 4}, {3, 3}}},
{{{2, 2}, {3, 3}, {1, 1}, {4, 4}}},
{{{2, 2}, {3, 3}, {4, 4}, {1, 1}}},
{{{2, 2}, {4, 4}, {1, 1}, {3, 3}}},
{{{2, 2}, {4, 4}, {3, 3}, {1, 1}}},
};
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
2013-04-15 19:13:59 +00:00
const size_t lines_count = SK_ARRAY_COUNT(lines);
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
2013-04-08 11:50:00 +00:00
// 'not a line' tries to fool the line detection code
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
2016-10-20 15:32:18 +00:00
const CubicPts notLines[] = {
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
2013-04-08 11:50:00 +00:00
{{{0, 0}, {0, 0}, {0, 1}, {1, 0}}},
{{{0, 0}, {0, 1}, {0, 0}, {1, 0}}},
{{{0, 0}, {0, 1}, {1, 0}, {0, 0}}},
{{{0, 1}, {0, 0}, {0, 0}, {1, 0}}},
{{{0, 1}, {0, 0}, {1, 0}, {0, 0}}},
{{{0, 1}, {1, 0}, {0, 0}, {0, 0}}},
};
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
2013-04-15 19:13:59 +00:00
const size_t notLines_count = SK_ARRAY_COUNT(notLines);
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
2013-04-08 11:50:00 +00:00
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
2015-03-26 14:52:43 +00:00
static const double E = FLT_EPSILON * 8;
static const double F = FLT_EPSILON * 8;
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
2013-04-08 11:50:00 +00:00
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
2016-10-20 15:32:18 +00:00
const CubicPts modEpsilonLines[] = {
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
2013-04-08 11:50:00 +00:00
{{{0, E}, {0, 0}, {0, 0}, {1, 0}}}, // horizontal
{{{0, 0}, {0, E}, {1, 0}, {0, 0}}},
{{{0, 0}, {1, 0}, {0, E}, {0, 0}}},
{{{1, 0}, {0, 0}, {0, 0}, {0, E}}},
{{{1, E}, {2, 0}, {3, 0}, {4, 0}}},
{{{E, 0}, {0, 0}, {0, 0}, {0, 1}}}, // vertical
{{{0, 0}, {E, 0}, {0, 1}, {0, 0}}},
{{{0, 0}, {0, 1}, {E, 0}, {0, 0}}},
{{{0, 1}, {0, 0}, {0, 0}, {E, 0}}},
{{{E, 1}, {0, 2}, {0, 3}, {0, 4}}},
{{{E, 0}, {0, 0}, {0, 0}, {1, 1}}}, // 3 coincident
{{{0, 0}, {E, 0}, {1, 1}, {0, 0}}},
{{{0, 0}, {1, 1}, {E, 0}, {0, 0}}},
{{{1, 1}, {0, 0}, {0, 0}, {E, 0}}},
{{{0, E}, {0, 0}, {1, 1}, {2, 2}}}, // 2 coincident
{{{0, 0}, {1, 1}, {0, E}, {2, 2}}},
{{{0, 0}, {1, 1}, {2, 2}, {0, E}}},
{{{1, 1}, {0, E}, {0, 0}, {2, 2}}},
{{{1, 1}, {0, E}, {2, 2}, {0, 0}}},
{{{1, 1}, {2, 2}, {E, 0}, {0, 0}}},
{{{1, 1}, {2, 2+E}, {3, 3}, {2, 2}}}, // middle-last coincident
{{{1, 1}, {2+E, 2}, {3, 3}, {3, 3}}}, // middle-last coincident
{{{1, 1}, {1, 1}, {2, 2}, {2+E, 2}}}, // 2 pairs coincident
{{{1, 1}, {2, 2}, {1, 1}, {2+E, 2}}},
{{{1, 1}, {2, 2}, {2, 2+E}, {1, 1}}},
{{{1, 1}, {1, 1+E}, {3, 3}, {3, 3}}}, // first-middle middle-last coincident
{{{1, 1}, {2+E, 2}, {3, 3}, {4, 4}}}, // no coincident
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
2015-03-26 14:52:43 +00:00
{{{1, 1}, {3, 3}, {2, 2}, {4, 4+F+F}}}, // INVESTIGATE: why the epsilon is bigger
{{{1, 1+F+F}, {2, 2}, {4, 4}, {3, 3}}}, // INVESTIGATE: why the epsilon is bigger
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
2013-04-08 11:50:00 +00:00
{{{1, 1}, {3, 3}, {4, 4+E}, {2, 2}}},
{{{1, 1}, {4, 4}, {2, 2}, {3, 3+E}}},
{{{1, 1}, {4, 4}, {3, 3}, {2+E, 2}}},
{{{2, 2}, {1, 1}, {3+E, 3}, {4, 4}}},
{{{2, 2}, {1+E, 1}, {4, 4}, {3, 3}}},
{{{2, 2+E}, {3, 3}, {1, 1}, {4, 4}}},
{{{2+E, 2}, {3, 3}, {4, 4}, {1, 1}}},
{{{2, 2}, {4+E, 4}, {1, 1}, {3, 3}}},
{{{2, 2}, {4, 4}, {3, 3}, {1, 1+E}}},
};
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
2013-04-15 19:13:59 +00:00
const size_t modEpsilonLines_count = SK_ARRAY_COUNT(modEpsilonLines);
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
2013-04-08 11:50:00 +00:00
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
2016-10-20 15:32:18 +00:00
const CubicPts lessEpsilonLines[] = {
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
2013-04-08 11:50:00 +00:00
{{{0, D}, {0, 0}, {0, 0}, {1, 0}}}, // horizontal
{{{1, 0}, {0, 0}, {0, 0}, {0, D}}},
{{{1, D}, {2, 0}, {3, 0}, {4, 0}}},
{{{D, 0}, {0, 0}, {0, 0}, {0, 1}}}, // vertical
{{{0, 1}, {0, 0}, {0, 0}, {D, 0}}},
{{{D, 1}, {0, 2}, {0, 3}, {0, 4}}},
{{{D, 0}, {0, 0}, {0, 0}, {1, 1}}}, // 3 coincident
{{{1, 1}, {0, 0}, {0, 0}, {D, 0}}},
{{{0, D}, {0, 0}, {1, 1}, {2, 2}}}, // 2 coincident
{{{0, 0}, {1, 1}, {0, D}, {2, 2}}},
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
2013-10-02 14:49:34 +00:00
{{{0, 0}, {1, 1}, {2, 2}, {1, 1+D}}},
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
2013-04-08 11:50:00 +00:00
{{{1, 1}, {0, D}, {0, 0}, {2, 2}}},
{{{1, 1}, {0, D}, {2, 2}, {0, 0}}},
{{{1, 1}, {2, 2}, {D, 0}, {0, 0}}},
{{{1, 1}, {2, 2+D}, {3, 3}, {2, 2}}}, // middle-last coincident
{{{1, 1}, {2+D, 2}, {3, 3}, {3, 3}}}, // middle-last coincident
{{{1, 1}, {1, 1}, {2, 2}, {2+D, 2}}}, // 2 pairs coincident
{{{1, 1}, {2, 2}, {1, 1}, {2+D, 2}}},
{{{1, 1}, {1, 1+D}, {3, 3}, {3, 3}}}, // first-middle middle-last coincident
{{{1, 1}, {2+D/2, 2}, {3, 3}, {4, 4}}}, // no coincident (FIXME: N as opposed to N/2 failed)
{{{1, 1}, {3, 3}, {2, 2}, {4, 4+D}}},
{{{1, 1+D}, {2, 2}, {4, 4}, {3, 3}}},
{{{1, 1}, {3, 3}, {4, 4+D}, {2, 2}}},
{{{1, 1}, {4, 4}, {2, 2}, {3, 3+D}}},
{{{1, 1}, {4, 4}, {3, 3}, {2+G, 2}}}, // INVESTIGATE: why the epsilon is smaller
{{{2, 2}, {1, 1}, {3+D, 3}, {4, 4}}},
{{{2, 2}, {1+D, 1}, {4, 4}, {3, 3}}},
{{{2, 2+D}, {3, 3}, {1, 1}, {4, 4}}},
{{{2+G, 2}, {3, 3}, {4, 4}, {1, 1}}}, // INVESTIGATE: why the epsilon is smaller
{{{2, 2}, {4+D, 4}, {1, 1}, {3, 3}}},
{{{2, 2}, {4, 4}, {3, 3}, {1, 1+D}}},
};
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
2013-04-15 19:13:59 +00:00
const size_t lessEpsilonLines_count = SK_ARRAY_COUNT(lessEpsilonLines);
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
2013-04-08 11:50:00 +00:00
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
2016-10-20 15:32:18 +00:00
const CubicPts negEpsilonLines[] = {
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
2013-04-08 11:50:00 +00:00
{{{0, N}, {0, 0}, {0, 0}, {1, 0}}}, // horizontal
{{{1, 0}, {0, 0}, {0, 0}, {0, N}}},
{{{1, N}, {2, 0}, {3, 0}, {4, 0}}},
{{{N, 0}, {0, 0}, {0, 0}, {0, 1}}}, // vertical
{{{0, 1}, {0, 0}, {0, 0}, {N, 0}}},
{{{N, 1}, {0, 2}, {0, 3}, {0, 4}}},
{{{N, 0}, {0, 0}, {0, 0}, {1, 1}}}, // 3 coincident
{{{1, 1}, {0, 0}, {0, 0}, {N, 0}}},
{{{0, N}, {0, 0}, {1, 1}, {2, 2}}}, // 2 coincident
{{{0, 0}, {1, 1}, {0, N}, {2, 2}}},
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
2013-10-02 14:49:34 +00:00
{{{0, 0}, {1, 1}, {2, 2}, {1, 1+N}}},
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
2013-04-08 11:50:00 +00:00
{{{1, 1}, {0, N}, {0, 0}, {2, 2}}},
{{{1, 1}, {0, N}, {2, 2}, {0, 0}}},
{{{1, 1}, {2, 2}, {N, 0}, {0, 0}}},
{{{1, 1}, {2, 2+N}, {3, 3}, {2, 2}}}, // middle-last coincident
{{{1, 1}, {2+N, 2}, {3, 3}, {3, 3}}}, // middle-last coincident
{{{1, 1}, {1, 1}, {2, 2}, {2+N, 2}}}, // 2 pairs coincident
{{{1, 1}, {2, 2}, {1, 1}, {2+N, 2}}},
{{{1, 1}, {1, 1+N}, {3, 3}, {3, 3}}}, // first-middle middle-last coincident
{{{1, 1}, {2+N/2, 2}, {3, 3}, {4, 4}}}, // no coincident (FIXME: N as opposed to N/2 failed)
{{{1, 1}, {3, 3}, {2, 2}, {4, 4+N}}},
{{{1, 1+N}, {2, 2}, {4, 4}, {3, 3}}},
{{{1, 1}, {3, 3}, {4, 4+N}, {2, 2}}},
{{{1, 1}, {4, 4}, {2, 2}, {3, 3+N}}},
{{{1, 1}, {4, 4}, {3, 3}, {2+M, 2}}}, // INVESTIGATE: why the epsilon is smaller
{{{2, 2}, {1, 1}, {3+N, 3}, {4, 4}}},
{{{2, 2}, {1+N, 1}, {4, 4}, {3, 3}}},
{{{2, 2+N}, {3, 3}, {1, 1}, {4, 4}}},
{{{2+M, 2}, {3, 3}, {4, 4}, {1, 1}}}, // INVESTIGATE: why the epsilon is smaller
{{{2, 2}, {4+N, 4}, {1, 1}, {3, 3}}},
{{{2, 2}, {4, 4}, {3, 3}, {1, 1+N}}},
};
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
2013-04-15 19:13:59 +00:00
const size_t negEpsilonLines_count = SK_ARRAY_COUNT(negEpsilonLines);
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