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      1 /*
      2  * Copyright 2015 Google Inc.
      3  *
      4  * Use of this source code is governed by a BSD-style license that can be
      5  * found in the LICENSE file.
      6  */
      7 #include "PathOpsTestCommon.h"
      8 #include "SkGeometry.h"
      9 #include "SkIntersections.h"
     10 #include "Test.h"
     11 
     12 /*
     13 manually compute the intersection of a pair of circles and see if the conic intersection matches
     14   given two circles
     15     construct a line connecting their centers
     16 
     17  */
     18 
     19 static const SkDConic testSet[] = {
     20     {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f},
     21     {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f},
     22 
     23     {{{{5.1114602088928223, 628.77813720703125},
     24         {10.834027290344238, 988.964111328125},
     25         {163.40835571289062, 988.964111328125}}}, 0.72944212f},
     26     {{{{163.40835571289062, 988.964111328125},
     27         {5, 988.964111328125},
     28         {5, 614.7423095703125}}}, 0.707106769f},
     29 
     30     {{{{11.17222976684570312, -8.103978157043457031},
     31         {22.91432571411132812, -10.37866020202636719},
     32         {23.7764129638671875, -7.725424289703369141}}}, 1.00862849f},
     33     {{{{-1.545085430145263672, -4.755282402038574219},
     34         {22.23132705688476562, -12.48070907592773438},
     35         {23.7764129638671875, -7.725427150726318359}}}, 0.707106769f},
     36 
     37     {{{{-4,1}, {-4,5}, {0,5}}}, 0.707106769f},
     38     {{{{-3,4}, {-3,1}, {0,1}}}, 0.707106769f},
     39 
     40     {{{{0, 0}, {0, 1}, {1, 1}}}, 0.5f},
     41     {{{{1, 0}, {0, 0}, {0, 1}}}, 0.5f},
     42 
     43 };
     44 
     45 const int testSetCount = (int) SK_ARRAY_COUNT(testSet);
     46 
     47 static void chopCompare(const SkConic chopped[2], const SkDConic dChopped[2]) {
     48     SkASSERT(roughly_equal(chopped[0].fW, dChopped[0].fWeight));
     49     SkASSERT(roughly_equal(chopped[1].fW, dChopped[1].fWeight));
     50     for (int cIndex = 0; cIndex < 2; ++cIndex) {
     51         for (int pIndex = 0; pIndex < 3; ++pIndex) {
     52             SkDPoint up;
     53             up.set(chopped[cIndex].fPts[pIndex]);
     54             SkASSERT(dChopped[cIndex].fPts[pIndex].approximatelyEqual(up));
     55         }
     56     }
     57 #if DEBUG_VISUALIZE_CONICS
     58     dChopped[0].dump();
     59     dChopped[1].dump();
     60 #endif
     61 }
     62 
     63 #include "SkBitmap.h"
     64 #include "SkCanvas.h"
     65 #include "SkImageEncoder.h"
     66 #include "SkPathOpsRect.h"
     67 #include "SkPaint.h"
     68 #include "SkString.h"
     69 
     70 #define DEBUG_VISUALIZE_CONICS 0
     71 
     72 #if DEBUG_VISUALIZE_CONICS
     73 static void writePng(const SkConic& c, const SkConic ch[2], const char* name) {
     74     const int scale = 10;
     75     SkConic conic, chopped[2];
     76     for (int index = 0; index < 3; ++index) {
     77         conic.fPts[index].fX = c.fPts[index].fX * scale;
     78         conic.fPts[index].fY = c.fPts[index].fY * scale;
     79         for (int chIndex = 0; chIndex < 2; ++chIndex) {
     80             chopped[chIndex].fPts[index].fX = ch[chIndex].fPts[index].fX * scale;
     81             chopped[chIndex].fPts[index].fY = ch[chIndex].fPts[index].fY * scale;
     82         }
     83     }
     84     conic.fW = c.fW;
     85     chopped[0].fW = ch[0].fW;
     86     chopped[1].fW = ch[1].fW;
     87     SkBitmap bitmap;
     88     SkRect bounds;
     89     conic.computeTightBounds(&bounds);
     90     bounds.outset(10, 10);
     91     bitmap.tryAllocPixels(SkImageInfo::MakeN32Premul(
     92           SkScalarRoundToInt(bounds.width()), SkScalarRoundToInt(bounds.height())));
     93     SkCanvas canvas(bitmap);
     94     SkPaint paint;
     95     paint.setAntiAlias(true);
     96     paint.setStyle(SkPaint::kStroke_Style);
     97     canvas.translate(-bounds.fLeft, -bounds.fTop);
     98     canvas.drawColor(SK_ColorWHITE);
     99     SkPath path;
    100     path.moveTo(conic.fPts[0]);
    101     path.conicTo(conic.fPts[1], conic.fPts[2], conic.fW);
    102     paint.setARGB(0x80, 0xFF, 0, 0);
    103     canvas.drawPath(path, paint);
    104     path.reset();
    105     path.moveTo(chopped[0].fPts[0]);
    106     path.conicTo(chopped[0].fPts[1], chopped[0].fPts[2], chopped[0].fW);
    107     path.moveTo(chopped[1].fPts[0]);
    108     path.conicTo(chopped[1].fPts[1], chopped[1].fPts[2], chopped[1].fW);
    109     paint.setARGB(0x80, 0, 0, 0xFF);
    110     canvas.drawPath(path, paint);
    111     SkString filename("c:\\Users\\caryclark\\Documents\\");
    112     filename.appendf("%s.png", name);
    113     SkImageEncoder::EncodeFile(filename.c_str(), bitmap,
    114             SkImageEncoder::kPNG_Type, 100);
    115 }
    116 
    117 static void writeDPng(const SkDConic& dC, const char* name) {
    118     const int scale = 5;
    119     SkDConic dConic = {{{ {dC.fPts[0].fX * scale, dC.fPts[0].fY * scale },
    120         {dC.fPts[1].fX * scale, dC.fPts[1].fY * scale },
    121         {dC.fPts[2].fX * scale, dC.fPts[2].fY * scale }}}, dC.fWeight };
    122     SkBitmap bitmap;
    123     SkDRect bounds;
    124     bounds.setBounds(dConic);
    125     bounds.fLeft -= 10;
    126     bounds.fTop -= 10;
    127     bounds.fRight += 10;
    128     bounds.fBottom += 10;
    129     bitmap.tryAllocPixels(SkImageInfo::MakeN32Premul(
    130           SkScalarRoundToInt(SkDoubleToScalar(bounds.width())),
    131           SkScalarRoundToInt(SkDoubleToScalar(bounds.height()))));
    132     SkCanvas canvas(bitmap);
    133     SkPaint paint;
    134     paint.setAntiAlias(true);
    135     paint.setStyle(SkPaint::kStroke_Style);
    136     canvas.translate(SkDoubleToScalar(-bounds.fLeft), SkDoubleToScalar(-bounds.fTop));
    137     canvas.drawColor(SK_ColorWHITE);
    138     SkPath path;
    139     path.moveTo(dConic.fPts[0].asSkPoint());
    140     path.conicTo(dConic.fPts[1].asSkPoint(), dConic.fPts[2].asSkPoint(), dConic.fWeight);
    141     paint.setARGB(0x80, 0xFF, 0, 0);
    142     canvas.drawPath(path, paint);
    143     path.reset();
    144     const int chops = 2;
    145     for (int tIndex = 0; tIndex < chops; ++tIndex) {
    146         SkDConic chopped = dConic.subDivide(tIndex / (double) chops,
    147                 (tIndex + 1) / (double) chops);
    148         path.moveTo(chopped.fPts[0].asSkPoint());
    149         path.conicTo(chopped.fPts[1].asSkPoint(), chopped.fPts[2].asSkPoint(), chopped.fWeight);
    150     }
    151     paint.setARGB(0x80, 0, 0, 0xFF);
    152     canvas.drawPath(path, paint);
    153     SkString filename("c:\\Users\\caryclark\\Documents\\");
    154     filename.appendf("%s.png", name);
    155     SkImageEncoder::EncodeFile(filename.c_str(), bitmap,
    156             SkImageEncoder::kPNG_Type, 100);
    157 }
    158 #endif
    159 
    160 static void chopBothWays(const SkDConic& dConic, double t, const char* name) {
    161     SkConic conic;
    162     for (int index = 0; index < 3; ++index) {
    163         conic.fPts[index] = dConic.fPts[index].asSkPoint();
    164     }
    165     conic.fW = dConic.fWeight;
    166     SkConic chopped[2];
    167     SkDConic dChopped[2];
    168     conic.chopAt(SkDoubleToScalar(t), chopped);
    169     dChopped[0] = dConic.subDivide(0, t);
    170     dChopped[1] = dConic.subDivide(t, 1);
    171 #if DEBUG_VISUALIZE_CONICS
    172     dConic.dump();
    173 #endif
    174     chopCompare(chopped, dChopped);
    175 #if DEBUG_VISUALIZE_CONICS
    176     writePng(conic, chopped, name);
    177 #endif
    178 }
    179 
    180 #if DEBUG_VISUALIZE_CONICS
    181 const SkDConic frame0[] = {
    182 {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f},
    183 {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f},
    184 };
    185 
    186 const SkDConic frame1[] = {
    187 {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f},
    188 {{{{306.58801299999999, -227.983994}, {212.46499600000001, -262.24200400000001}, {95.551200899999998, 58.976398500000002}}}, 0.707107008f},
    189 {{{{377.21899400000001, -141.98100299999999}, {237.77799285476553, -166.56830755921084}, {134.08399674208422, -155.06258330544892}}}, 0.788580656f},
    190 {{{{134.08399674208422, -155.06258330544892}, {30.390000629402859, -143.55685905168704}, {23.185499199999999, -102.697998}}}, 0.923879623f},
    191 };
    192 
    193 const SkDConic frame2[] = {
    194 {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f},
    195 {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f},
    196 {{{{205.78973252799028, -158.12538713371103}, {143.97848953841861, -74.076645245042371}, {95.551200899999998, 58.976398500000002}}}, 0.923879623f},
    197 {{{{377.21899400000001, -141.98100299999999}, {237.77799285476553, -166.56830755921084}, {134.08399674208422, -155.06258330544892}}}, 0.788580656f},
    198 };
    199 
    200 const SkDConic frame3[] = {
    201 {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f},
    202 {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f},
    203 {{{{205.78973252799028, -158.12538713371103}, {143.97848953841861, -74.076645245042371}, {95.551200899999998, 58.976398500000002}}}, 0.923879623f},
    204 {{{{252.08225670812539, -156.90491625851064}, {185.93099479842493, -160.81544543232982}, {134.08399674208422, -155.06258330544892}}}, 0.835816324f},
    205 };
    206 
    207 const SkDConic frame4[] = {
    208 {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f},
    209 {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f},
    210 {{{{205.78973252799028, -158.12538713371103}, {174.88411103320448, -116.10101618937664}, {145.19509369736275, -56.857102571363754}}}, 0.871667147f},
    211 {{{{252.08225670812539, -156.90491625851064}, {185.93099479842493, -160.81544543232982}, {134.08399674208422, -155.06258330544892}}}, 0.835816324f},
    212 };
    213 
    214 const SkDConic frame5[] = {
    215 {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f},
    216 {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f},
    217 {{{{205.78973252799028, -158.12538713371103}, {174.88411103320448, -116.10101618937664}, {145.19509369736275, -56.857102571363754}}}, 0.871667147f},
    218 {{{{252.08225670812539, -156.90491625851064}, {219.70109133058406, -158.81912754088933}, {190.17095392508796, -158.38373974664466}}}, 0.858306944f},
    219 };
    220 
    221 const SkDConic frame6[] = {
    222 {{{{306.588013,-227.983994}, {212.464996,-262.242004}, {95.5512009,58.9763985}}}, 0.707107008f},
    223 {{{{377.218994,-141.981003}, {40.578701,-201.339996}, {23.1854992,-102.697998}}}, 0.707107008f},
    224 {{{{205.78973252799028, -158.12538713371103}, {190.33692178059735, -137.11320166154385}, {174.87004877564593, -111.2132534799228}}}, 0.858117759f},
    225 {{{{252.08225670812539, -156.90491625851064}, {219.70109133058406, -158.81912754088933}, {190.17095392508796, -158.38373974664466}}}, 0.858306944f},
    226 };
    227 
    228 const SkDConic* frames[] = {
    229     frame0, frame1, frame2, frame3, frame4, frame5, frame6
    230 };
    231 
    232 const int frameSizes[] = { (int) SK_ARRAY_COUNT(frame0), (int) SK_ARRAY_COUNT(frame1),
    233         (int) SK_ARRAY_COUNT(frame2), (int) SK_ARRAY_COUNT(frame3),
    234         (int) SK_ARRAY_COUNT(frame4), (int) SK_ARRAY_COUNT(frame5),
    235         (int) SK_ARRAY_COUNT(frame6),
    236 };
    237 
    238 static void writeFrames() {
    239     const int scale = 5;
    240 
    241     for (int index = 0; index < (int) SK_ARRAY_COUNT(frameSizes); ++index) {
    242         SkDRect bounds;
    243         bool boundsSet = false;
    244         int frameSize = frameSizes[index];
    245         for (int fIndex = 0; fIndex < frameSize; ++fIndex) {
    246             const SkDConic& dC = frames[index][fIndex];
    247             SkDConic dConic = {{{ {dC.fPts[0].fX * scale, dC.fPts[0].fY * scale },
    248                 {dC.fPts[1].fX * scale, dC.fPts[1].fY * scale },
    249                 {dC.fPts[2].fX * scale, dC.fPts[2].fY * scale }}}, dC.fWeight };
    250             SkDRect dBounds;
    251             dBounds.setBounds(dConic);
    252             if (!boundsSet) {
    253                 bounds = dBounds;
    254                 boundsSet = true;
    255             } else {
    256                 bounds.add((SkDPoint&) dBounds.fLeft);
    257                 bounds.add((SkDPoint&) dBounds.fRight);
    258             }
    259         }
    260         bounds.fLeft -= 10;
    261         bounds.fTop -= 10;
    262         bounds.fRight += 10;
    263         bounds.fBottom += 10;
    264         SkBitmap bitmap;
    265         bitmap.tryAllocPixels(SkImageInfo::MakeN32Premul(
    266               SkScalarRoundToInt(SkDoubleToScalar(bounds.width())),
    267               SkScalarRoundToInt(SkDoubleToScalar(bounds.height()))));
    268         SkCanvas canvas(bitmap);
    269         SkPaint paint;
    270         paint.setAntiAlias(true);
    271         paint.setStyle(SkPaint::kStroke_Style);
    272         canvas.translate(SkDoubleToScalar(-bounds.fLeft), SkDoubleToScalar(-bounds.fTop));
    273         canvas.drawColor(SK_ColorWHITE);
    274         for (int fIndex = 0; fIndex < frameSize; ++fIndex) {
    275             const SkDConic& dC = frames[index][fIndex];
    276             SkDConic dConic = {{{ {dC.fPts[0].fX * scale, dC.fPts[0].fY * scale },
    277                 {dC.fPts[1].fX * scale, dC.fPts[1].fY * scale },
    278                 {dC.fPts[2].fX * scale, dC.fPts[2].fY * scale }}}, dC.fWeight };
    279             SkPath path;
    280             path.moveTo(dConic.fPts[0].asSkPoint());
    281             path.conicTo(dConic.fPts[1].asSkPoint(), dConic.fPts[2].asSkPoint(), dConic.fWeight);
    282             if (fIndex < 2) {
    283                 paint.setARGB(0x80, 0xFF, 0, 0);
    284             } else {
    285                 paint.setARGB(0x80, 0, 0, 0xFF);
    286             }
    287             canvas.drawPath(path, paint);
    288         }
    289         SkString filename("c:\\Users\\caryclark\\Documents\\");
    290         filename.appendf("f%d.png", index);
    291         SkImageEncoder::EncodeFile(filename.c_str(), bitmap, SkImageEncoder::kPNG_Type, 100);
    292     }
    293 }
    294 #endif
    295 
    296 static void oneOff(skiatest::Reporter* reporter, const SkDConic& c1, const SkDConic& c2,
    297         bool coin) {
    298 #if DEBUG_VISUALIZE_CONICS
    299     writeFrames();
    300 #endif
    301     chopBothWays(c1, 0.5, "c1");
    302     chopBothWays(c2, 0.5, "c2");
    303 #if DEBUG_VISUALIZE_CONICS
    304     writeDPng(c1, "d1");
    305     writeDPng(c2, "d2");
    306 #endif
    307     SkASSERT(ValidConic(c1));
    308     SkASSERT(ValidConic(c2));
    309     SkIntersections intersections;
    310     intersections.intersect(c1, c2);
    311     if (coin && intersections.used() != 2) {
    312         SkDebugf("");
    313     }
    314     REPORTER_ASSERT(reporter, !coin || intersections.used() == 2);
    315     double tt1, tt2;
    316     SkDPoint xy1, xy2;
    317     for (int pt3 = 0; pt3 < intersections.used(); ++pt3) {
    318         tt1 = intersections[0][pt3];
    319         xy1 = c1.ptAtT(tt1);
    320         tt2 = intersections[1][pt3];
    321         xy2 = c2.ptAtT(tt2);
    322         const SkDPoint& iPt = intersections.pt(pt3);
    323         REPORTER_ASSERT(reporter, xy1.approximatelyEqual(iPt));
    324         REPORTER_ASSERT(reporter, xy2.approximatelyEqual(iPt));
    325         REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
    326     }
    327     reporter->bumpTestCount();
    328 }
    329 
    330 static void oneOff(skiatest::Reporter* reporter, int outer, int inner) {
    331     const SkDConic& c1 = testSet[outer];
    332     const SkDConic& c2 = testSet[inner];
    333     oneOff(reporter, c1, c2, false);
    334 }
    335 
    336 static void oneOffTests(skiatest::Reporter* reporter) {
    337     for (int outer = 0; outer < testSetCount - 1; ++outer) {
    338         for (int inner = outer + 1; inner < testSetCount; ++inner) {
    339             oneOff(reporter, outer, inner);
    340         }
    341     }
    342 }
    343 
    344 DEF_TEST(PathOpsConicIntersectionOneOff, reporter) {
    345     oneOff(reporter, 0, 1);
    346 }
    347 
    348 DEF_TEST(PathOpsConicIntersection, reporter) {
    349     oneOffTests(reporter);
    350 }
    351