/* * Copyright 2015 Google Inc. * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #include "src/core/SkGeometry.h" #include "src/pathops/SkIntersections.h" #include "tests/PathOpsTestCommon.h" #include "tests/Test.h" /* manually compute the intersection of a pair of circles and see if the conic intersection matches given two circles construct a line connecting their centers */ static const ConicPts testSet[] = { {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f}, {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f}, {{{{5.1114602088928223, 628.77813720703125}, {10.834027290344238, 988.964111328125}, {163.40835571289062, 988.964111328125}}}, 0.72944212f}, {{{{163.40835571289062, 988.964111328125}, {5, 988.964111328125}, {5, 614.7423095703125}}}, 0.707106769f}, {{{{11.17222976684570312, -8.103978157043457031}, {22.91432571411132812, -10.37866020202636719}, {23.7764129638671875, -7.725424289703369141}}}, 1.00862849f}, {{{{-1.545085430145263672, -4.755282402038574219}, {22.23132705688476562, -12.48070907592773438}, {23.7764129638671875, -7.725427150726318359}}}, 0.707106769f}, {{{{-4,1}, {-4,5}, {0,5}}}, 0.707106769f}, {{{{-3,4}, {-3,1}, {0,1}}}, 0.707106769f}, {{{{0, 0}, {0, 1}, {1, 1}}}, 0.5f}, {{{{1, 0}, {0, 0}, {0, 1}}}, 0.5f}, }; const int testSetCount = (int) SK_ARRAY_COUNT(testSet); static void chopCompare(const SkConic chopped[2], const SkDConic dChopped[2]) { SkASSERT(roughly_equal(chopped[0].fW, dChopped[0].fWeight)); SkASSERT(roughly_equal(chopped[1].fW, dChopped[1].fWeight)); for (int cIndex = 0; cIndex < 2; ++cIndex) { for (int pIndex = 0; pIndex < 3; ++pIndex) { SkDPoint up; up.set(chopped[cIndex].fPts[pIndex]); SkASSERT(dChopped[cIndex].fPts[pIndex].approximatelyEqual(up)); } } #if DEBUG_VISUALIZE_CONICS dChopped[0].dump(); dChopped[1].dump(); #endif } #include "include/core/SkBitmap.h" #include "include/core/SkCanvas.h" #include "include/core/SkImageEncoder.h" #include "include/core/SkPaint.h" #include "include/core/SkString.h" #include "src/pathops/SkPathOpsRect.h" #define DEBUG_VISUALIZE_CONICS 0 #if DEBUG_VISUALIZE_CONICS static void writePng(const SkConic& c, const SkConic ch[2], const char* name) { const int scale = 10; SkConic conic, chopped[2]; for (int index = 0; index < 3; ++index) { conic.fPts[index].fX = c.fPts[index].fX * scale; conic.fPts[index].fY = c.fPts[index].fY * scale; for (int chIndex = 0; chIndex < 2; ++chIndex) { chopped[chIndex].fPts[index].fX = ch[chIndex].fPts[index].fX * scale; chopped[chIndex].fPts[index].fY = ch[chIndex].fPts[index].fY * scale; } } conic.fW = c.fW; chopped[0].fW = ch[0].fW; chopped[1].fW = ch[1].fW; SkBitmap bitmap; SkRect bounds; conic.computeTightBounds(&bounds); bounds.outset(10, 10); bitmap.tryAllocPixels(SkImageInfo::MakeN32Premul( SkScalarRoundToInt(bounds.width()), SkScalarRoundToInt(bounds.height()))); SkCanvas canvas(bitmap); SkPaint paint; paint.setAntiAlias(true); paint.setStyle(SkPaint::kStroke_Style); canvas.translate(-bounds.fLeft, -bounds.fTop); canvas.drawColor(SK_ColorWHITE); SkPath path; path.moveTo(conic.fPts[0]); path.conicTo(conic.fPts[1], conic.fPts[2], conic.fW); paint.setARGB(0x80, 0xFF, 0, 0); canvas.drawPath(path, paint); path.reset(); path.moveTo(chopped[0].fPts[0]); path.conicTo(chopped[0].fPts[1], chopped[0].fPts[2], chopped[0].fW); path.moveTo(chopped[1].fPts[0]); path.conicTo(chopped[1].fPts[1], chopped[1].fPts[2], chopped[1].fW); paint.setARGB(0x80, 0, 0, 0xFF); canvas.drawPath(path, paint); SkString filename("c:\\Users\\caryclark\\Documents\\"); filename.appendf("%s.png", name); ToolUtils::EncodeImageToFile(filename.c_str(), bitmap, SkEncodedImageFormat::kPNG, 100); } static void writeDPng(const SkDConic& dC, const char* name) { const int scale = 5; SkDConic dConic = {{{ {dC.fPts[0].fX * scale, dC.fPts[0].fY * scale }, {dC.fPts[1].fX * scale, dC.fPts[1].fY * scale }, {dC.fPts[2].fX * scale, dC.fPts[2].fY * scale }}}, dC.fWeight }; SkBitmap bitmap; SkDRect bounds; bounds.setBounds(dConic); bounds.fLeft -= 10; bounds.fTop -= 10; bounds.fRight += 10; bounds.fBottom += 10; bitmap.tryAllocPixels(SkImageInfo::MakeN32Premul( SkScalarRoundToInt(SkDoubleToScalar(bounds.width())), SkScalarRoundToInt(SkDoubleToScalar(bounds.height())))); SkCanvas canvas(bitmap); SkPaint paint; paint.setAntiAlias(true); paint.setStyle(SkPaint::kStroke_Style); canvas.translate(SkDoubleToScalar(-bounds.fLeft), SkDoubleToScalar(-bounds.fTop)); canvas.drawColor(SK_ColorWHITE); SkPath path; path.moveTo(dConic.fPts[0].asSkPoint()); path.conicTo(dConic.fPts[1].asSkPoint(), dConic.fPts[2].asSkPoint(), dConic.fWeight); paint.setARGB(0x80, 0xFF, 0, 0); canvas.drawPath(path, paint); path.reset(); const int chops = 2; for (int tIndex = 0; tIndex < chops; ++tIndex) { SkDConic chopped = dConic.subDivide(tIndex / (double) chops, (tIndex + 1) / (double) chops); path.moveTo(chopped.fPts[0].asSkPoint()); path.conicTo(chopped.fPts[1].asSkPoint(), chopped.fPts[2].asSkPoint(), chopped.fWeight); } paint.setARGB(0x80, 0, 0, 0xFF); canvas.drawPath(path, paint); SkString filename("c:\\Users\\caryclark\\Documents\\"); filename.appendf("%s.png", name); ToolUtils::EncodeImageToFile(filename.c_str(), bitmap, SkEncodedImageFormat::kPNG, 100); } #endif static void chopBothWays(const SkDConic& dConic, double t, const char* name) { SkConic conic; for (int index = 0; index < 3; ++index) { conic.fPts[index] = dConic.fPts[index].asSkPoint(); } conic.fW = dConic.fWeight; SkConic chopped[2]; SkDConic dChopped[2]; if (!conic.chopAt(SkDoubleToScalar(t), chopped)) { return; } dChopped[0] = dConic.subDivide(0, t); dChopped[1] = dConic.subDivide(t, 1); #if DEBUG_VISUALIZE_CONICS dConic.dump(); #endif chopCompare(chopped, dChopped); #if DEBUG_VISUALIZE_CONICS writePng(conic, chopped, name); #endif } #if DEBUG_VISUALIZE_CONICS const SkDConic frame0[] = { {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f}, {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f}, }; const SkDConic frame1[] = { {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f}, {{{{306.58801299999999, -227.983994}, {212.46499600000001, -262.24200400000001}, {95.551200899999998, 58.976398500000002}}}, 0.707107008f}, {{{{377.21899400000001, -141.98100299999999}, {237.77799285476553, -166.56830755921084}, {134.08399674208422, -155.06258330544892}}}, 0.788580656f}, {{{{134.08399674208422, -155.06258330544892}, {30.390000629402859, -143.55685905168704}, {23.185499199999999, -102.697998}}}, 0.923879623f}, }; const SkDConic frame2[] = { {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f}, {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f}, {{{{205.78973252799028, -158.12538713371103}, {143.97848953841861, -74.076645245042371}, {95.551200899999998, 58.976398500000002}}}, 0.923879623f}, {{{{377.21899400000001, -141.98100299999999}, {237.77799285476553, -166.56830755921084}, {134.08399674208422, -155.06258330544892}}}, 0.788580656f}, }; const SkDConic frame3[] = { {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f}, {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f}, {{{{205.78973252799028, -158.12538713371103}, {143.97848953841861, -74.076645245042371}, {95.551200899999998, 58.976398500000002}}}, 0.923879623f}, {{{{252.08225670812539, -156.90491625851064}, {185.93099479842493, -160.81544543232982}, {134.08399674208422, -155.06258330544892}}}, 0.835816324f}, }; const SkDConic frame4[] = { {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f}, {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f}, {{{{205.78973252799028, -158.12538713371103}, {174.88411103320448, -116.10101618937664}, {145.19509369736275, -56.857102571363754}}}, 0.871667147f}, {{{{252.08225670812539, -156.90491625851064}, {185.93099479842493, -160.81544543232982}, {134.08399674208422, -155.06258330544892}}}, 0.835816324f}, }; const SkDConic frame5[] = { {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f}, {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f}, {{{{205.78973252799028, -158.12538713371103}, {174.88411103320448, -116.10101618937664}, {145.19509369736275, -56.857102571363754}}}, 0.871667147f}, {{{{252.08225670812539, -156.90491625851064}, {219.70109133058406, -158.81912754088933}, {190.17095392508796, -158.38373974664466}}}, 0.858306944f}, }; const SkDConic frame6[] = { {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f}, {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f}, {{{{205.78973252799028, -158.12538713371103}, {190.33692178059735, -137.11320166154385}, {174.87004877564593, -111.2132534799228}}}, 0.858117759f}, {{{{252.08225670812539, -156.90491625851064}, {219.70109133058406, -158.81912754088933}, {190.17095392508796, -158.38373974664466}}}, 0.858306944f}, }; const SkDConic* frames[] = { frame0, frame1, frame2, frame3, frame4, frame5, frame6 }; const int frameSizes[] = { (int) SK_ARRAY_COUNT(frame0), (int) SK_ARRAY_COUNT(frame1), (int) SK_ARRAY_COUNT(frame2), (int) SK_ARRAY_COUNT(frame3), (int) SK_ARRAY_COUNT(frame4), (int) SK_ARRAY_COUNT(frame5), (int) SK_ARRAY_COUNT(frame6), }; static void writeFrames() { const int scale = 5; for (int index = 0; index < (int) SK_ARRAY_COUNT(frameSizes); ++index) { SkDRect bounds; bool boundsSet = false; int frameSize = frameSizes[index]; for (int fIndex = 0; fIndex < frameSize; ++fIndex) { const SkDConic& dC = frames[index][fIndex]; SkDConic dConic = {{{ {dC.fPts[0].fX * scale, dC.fPts[0].fY * scale }, {dC.fPts[1].fX * scale, dC.fPts[1].fY * scale }, {dC.fPts[2].fX * scale, dC.fPts[2].fY * scale }}}, dC.fWeight }; SkDRect dBounds; dBounds.setBounds(dConic); if (!boundsSet) { bounds = dBounds; boundsSet = true; } else { bounds.add((SkDPoint&) dBounds.fLeft); bounds.add((SkDPoint&) dBounds.fRight); } } bounds.fLeft -= 10; bounds.fTop -= 10; bounds.fRight += 10; bounds.fBottom += 10; SkBitmap bitmap; bitmap.tryAllocPixels(SkImageInfo::MakeN32Premul( SkScalarRoundToInt(SkDoubleToScalar(bounds.width())), SkScalarRoundToInt(SkDoubleToScalar(bounds.height())))); SkCanvas canvas(bitmap); SkPaint paint; paint.setAntiAlias(true); paint.setStyle(SkPaint::kStroke_Style); canvas.translate(SkDoubleToScalar(-bounds.fLeft), SkDoubleToScalar(-bounds.fTop)); canvas.drawColor(SK_ColorWHITE); for (int fIndex = 0; fIndex < frameSize; ++fIndex) { const SkDConic& dC = frames[index][fIndex]; SkDConic dConic = {{{ {dC.fPts[0].fX * scale, dC.fPts[0].fY * scale }, {dC.fPts[1].fX * scale, dC.fPts[1].fY * scale }, {dC.fPts[2].fX * scale, dC.fPts[2].fY * scale }}}, dC.fWeight }; SkPath path; path.moveTo(dConic.fPts[0].asSkPoint()); path.conicTo(dConic.fPts[1].asSkPoint(), dConic.fPts[2].asSkPoint(), dConic.fWeight); if (fIndex < 2) { paint.setARGB(0x80, 0xFF, 0, 0); } else { paint.setARGB(0x80, 0, 0, 0xFF); } canvas.drawPath(path, paint); } SkString filename("c:\\Users\\caryclark\\Documents\\"); filename.appendf("f%d.png", index); ToolUtils::EncodeImageToFile(filename.c_str(), bitmap, SkEncodedImageFormat::kPNG, 100); } } #endif static void oneOff(skiatest::Reporter* reporter, const ConicPts& conic1, const ConicPts& conic2, bool coin) { #if DEBUG_VISUALIZE_CONICS writeFrames(); #endif SkDConic c1, c2; c1.debugSet(conic1.fPts.fPts, conic1.fWeight); c2.debugSet(conic2.fPts.fPts, conic2.fWeight); chopBothWays(c1, 0.5, "c1"); chopBothWays(c2, 0.5, "c2"); #if DEBUG_VISUALIZE_CONICS writeDPng(c1, "d1"); writeDPng(c2, "d2"); #endif SkASSERT(ValidConic(c1)); SkASSERT(ValidConic(c2)); SkIntersections intersections; intersections.intersect(c1, c2); REPORTER_ASSERT(reporter, !coin || intersections.used() == 2); double tt1, tt2; SkDPoint xy1, xy2; for (int pt3 = 0; pt3 < intersections.used(); ++pt3) { tt1 = intersections[0][pt3]; xy1 = c1.ptAtT(tt1); tt2 = intersections[1][pt3]; xy2 = c2.ptAtT(tt2); const SkDPoint& iPt = intersections.pt(pt3); REPORTER_ASSERT(reporter, xy1.approximatelyEqual(iPt)); REPORTER_ASSERT(reporter, xy2.approximatelyEqual(iPt)); REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2)); } reporter->bumpTestCount(); } static void oneOff(skiatest::Reporter* reporter, int outer, int inner) { const ConicPts& c1 = testSet[outer]; const ConicPts& c2 = testSet[inner]; oneOff(reporter, c1, c2, false); } static void oneOffTests(skiatest::Reporter* reporter) { for (int outer = 0; outer < testSetCount - 1; ++outer) { for (int inner = outer + 1; inner < testSetCount; ++inner) { oneOff(reporter, outer, inner); } } } DEF_TEST(PathOpsConicIntersectionOneOff, reporter) { oneOff(reporter, 0, 1); } DEF_TEST(PathOpsConicIntersection, reporter) { oneOffTests(reporter); }