Add intersections for path ops

tests/PathOpsCubicReduceOrderTest.cpp

+/*
+ * Copyright 2012 Google Inc.
+ *
+ * Use of this source code is governed by a BSD-style license that can be
+ * found in the LICENSE file.
+ */
+#include "PathOpsCubicIntersectionTestData.h"
+#include "PathOpsQuadIntersectionTestData.h"
+#include "SkIntersections.h"
+#include "SkPathOpsRect.h"
+#include "SkReduceOrder.h"
+#include "Test.h"
+
+static bool controls_inside(const SkDCubic& cubic) {
+    return between(cubic[0].fX, cubic[1].fX, cubic[3].fX)
+            && between(cubic[0].fX, cubic[2].fX, cubic[3].fX)
+            && between(cubic[0].fY, cubic[1].fY, cubic[3].fY)
+            && between(cubic[0].fY, cubic[2].fY, cubic[3].fY);
+}
+
+static bool tiny(const SkDCubic& cubic) {
+    int index, minX, maxX, minY, maxY;
+    minX = maxX = minY = maxY = 0;
+    for (index = 1; index < 4; ++index) {
+        if (cubic[minX].fX > cubic[index].fX) {
+            minX = index;
+        }
+        if (cubic[minY].fY > cubic[index].fY) {
+            minY = index;
+        }
+        if (cubic[maxX].fX < cubic[index].fX) {
+            maxX = index;
+        }
+        if (cubic[maxY].fY < cubic[index].fY) {
+            maxY = index;
+        }
+    }
+    return     approximately_equal(cubic[maxX].fX, cubic[minX].fX)
+            && approximately_equal(cubic[maxY].fY, cubic[minY].fY);
+}
+
+static void find_tight_bounds(const SkDCubic& cubic, SkDRect& bounds) {
+    SkDCubicPair cubicPair = cubic.chopAt(0.5);
+    if (!tiny(cubicPair.first()) && !controls_inside(cubicPair.first())) {
+        find_tight_bounds(cubicPair.first(), bounds);
+    } else {
+        bounds.add(cubicPair.first()[0]);
+        bounds.add(cubicPair.first()[3]);
+    }
+    if (!tiny(cubicPair.second()) && !controls_inside(cubicPair.second())) {
+        find_tight_bounds(cubicPair.second(), bounds);
+    } else {
+        bounds.add(cubicPair.second()[0]);
+        bounds.add(cubicPair.second()[3]);
+    }
+}
+
+static void CubicReduceOrderTest(skiatest::Reporter* reporter) {
+    size_t index;
+    SkReduceOrder reducer;
+    int order;
+    enum {
+        RunAll,
+        RunPointDegenerates,
+        RunNotPointDegenerates,
+        RunLines,
+        RunNotLines,
+        RunModEpsilonLines,
+        RunLessEpsilonLines,
+        RunNegEpsilonLines,
+        RunQuadraticLines,
+        RunQuadraticPoints,
+        RunQuadraticModLines,
+        RunComputedLines,
+        RunNone
+    } run = RunAll;
+    int firstTestIndex = 0;
+#if 0
+    run = RunComputedLines;
+    firstTestIndex = 18;
+#endif
+    int firstPointDegeneratesTest = run == RunAll ? 0 : run == RunPointDegenerates
+            ? firstTestIndex : SK_MaxS32;
+    int firstNotPointDegeneratesTest = run == RunAll ? 0 : run == RunNotPointDegenerates
+            ? firstTestIndex : SK_MaxS32;
+    int firstLinesTest = run == RunAll ? 0 : run == RunLines ? firstTestIndex : SK_MaxS32;
+    int firstNotLinesTest = run == RunAll ? 0 : run == RunNotLines ? firstTestIndex : SK_MaxS32;
+    int firstModEpsilonTest = run == RunAll ? 0 : run == RunModEpsilonLines
+            ? firstTestIndex : SK_MaxS32;
+    int firstLessEpsilonTest = run == RunAll ? 0 : run == RunLessEpsilonLines
+            ? firstTestIndex : SK_MaxS32;
+    int firstNegEpsilonTest = run == RunAll ? 0 : run == RunNegEpsilonLines
+            ? firstTestIndex : SK_MaxS32;
+    int firstQuadraticPointTest = run == RunAll ? 0 : run == RunQuadraticPoints
+            ? firstTestIndex : SK_MaxS32;
+    int firstQuadraticLineTest = run == RunAll ? 0 : run == RunQuadraticLines
+            ? firstTestIndex : SK_MaxS32;
+    int firstQuadraticModLineTest = run == RunAll ? 0 : run == RunQuadraticModLines
+            ? firstTestIndex : SK_MaxS32;
+    int firstComputedLinesTest = run == RunAll ? 0 : run == RunComputedLines
+            ? firstTestIndex : SK_MaxS32;
+
+    for (index = firstPointDegeneratesTest; index < pointDegenerates_count; ++index) {
+        const SkDCubic& cubic = pointDegenerates[index];
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order != 1) {
+            SkDebugf("[%d] pointDegenerates order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+    for (index = firstNotPointDegeneratesTest; index < notPointDegenerates_count; ++index) {
+        const SkDCubic& cubic = notPointDegenerates[index];
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order == 1) {
+            SkDebugf("[%d] notPointDegenerates order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+    for (index = firstLinesTest; index < lines_count; ++index) {
+        const SkDCubic& cubic = lines[index];
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order != 2) {
+            SkDebugf("[%d] lines order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+    for (index = firstNotLinesTest; index < notLines_count; ++index) {
+        const SkDCubic& cubic = notLines[index];
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order == 2) {
+            SkDebugf("[%d] notLines order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+       }
+    }
+    for (index = firstModEpsilonTest; index < modEpsilonLines_count; ++index) {
+        const SkDCubic& cubic = modEpsilonLines[index];
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order == 2) {
+            SkDebugf("[%d] line mod by epsilon order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+    for (index = firstLessEpsilonTest; index < lessEpsilonLines_count; ++index) {
+        const SkDCubic& cubic = lessEpsilonLines[index];
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order != 2) {
+            SkDebugf("[%d] line less by epsilon/2 order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+    for (index = firstNegEpsilonTest; index < negEpsilonLines_count; ++index) {
+        const SkDCubic& cubic = negEpsilonLines[index];
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order != 2) {
+            SkDebugf("[%d] line neg by epsilon/2 order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+    for (index = firstQuadraticPointTest; index < quadraticPoints_count; ++index) {
+        const SkDQuad& quad = quadraticPoints[index];
+        SkDCubic cubic = quad.toCubic();
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order != 1) {
+            SkDebugf("[%d] point quad order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+    for (index = firstQuadraticLineTest; index < quadraticLines_count; ++index) {
+        const SkDQuad& quad = quadraticLines[index];
+        SkDCubic cubic = quad.toCubic();
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order != 2) {
+            SkDebugf("[%d] line quad order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+    for (index = firstQuadraticModLineTest; index < quadraticModEpsilonLines_count; ++index) {
+        const SkDQuad& quad = quadraticModEpsilonLines[index];
+        SkDCubic cubic = quad.toCubic();
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics, SkReduceOrder::kFill_Style);
+        if (order != 3) {
+            SkDebugf("[%d] line mod quad order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+    }
+
+    // test if computed line end points are valid
+    for (index = firstComputedLinesTest; index < lines_count; ++index) {
+        const SkDCubic& cubic = lines[index];
+        bool controlsInside = controls_inside(cubic);
+        order = reducer.reduce(cubic, SkReduceOrder::kAllow_Quadratics,
+                SkReduceOrder::kStroke_Style);
+        if (order == 2 && reducer.fLine[0] == reducer.fLine[1]) {
+            SkDebugf("[%d] line computed ends match order=%d\n", static_cast<int>(index), order);
+            REPORTER_ASSERT(reporter, 0);
+        }
+        if (controlsInside) {
+            if (       (reducer.fLine[0].fX != cubic[0].fX && reducer.fLine[0].fX != cubic[3].fX)
+                    || (reducer.fLine[0].fY != cubic[0].fY && reducer.fLine[0].fY != cubic[3].fY)
+                    || (reducer.fLine[1].fX != cubic[0].fX && reducer.fLine[1].fX != cubic[3].fX)
+                    || (reducer.fLine[1].fY != cubic[0].fY && reducer.fLine[1].fY != cubic[3].fY)) {
+                SkDebugf("[%d] line computed ends order=%d\n", static_cast<int>(index), order);
+                REPORTER_ASSERT(reporter, 0);
+            }
+        } else {
+            // binary search for extrema, compare against actual results
+                // while a control point is outside of bounding box formed by end points, split
+            SkDRect bounds = {DBL_MAX, DBL_MAX, -DBL_MAX, -DBL_MAX};
+            find_tight_bounds(cubic, bounds);
+            if (      (!AlmostEqualUlps(reducer.fLine[0].fX, bounds.fLeft)
+                    && !AlmostEqualUlps(reducer.fLine[0].fX, bounds.fRight))
+                   || (!AlmostEqualUlps(reducer.fLine[0].fY, bounds.fTop)
+                    && !AlmostEqualUlps(reducer.fLine[0].fY, bounds.fBottom))
+                   || (!AlmostEqualUlps(reducer.fLine[1].fX, bounds.fLeft)
+                    && !AlmostEqualUlps(reducer.fLine[1].fX, bounds.fRight))
+                   || (!AlmostEqualUlps(reducer.fLine[1].fY, bounds.fTop)
+                    && !AlmostEqualUlps(reducer.fLine[1].fY, bounds.fBottom))) {
+                SkDebugf("[%d] line computed tight bounds order=%d\n", static_cast<int>(index), order);
+                REPORTER_ASSERT(reporter, 0);
+            }
+        }
+    }
+}
+
+#include "TestClassDef.h"
+DEFINE_TESTCLASS("PathOpsReduceOrderCubic", ReduceOrderCubicTestClass, CubicReduceOrderTest)