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      1 /*
      2  * Copyright 2011 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 
      8 #include "SkGeometry.h"
      9 #include "Test.h"
     10 #include "SkRandom.h"
     11 
     12 static bool nearly_equal(const SkPoint& a, const SkPoint& b) {
     13     return SkScalarNearlyEqual(a.fX, b.fX) && SkScalarNearlyEqual(a.fY, b.fY);
     14 }
     15 
     16 static void testChopCubic(skiatest::Reporter* reporter) {
     17     /*
     18         Inspired by this test, which used to assert that the tValues had dups
     19 
     20         <path stroke="#202020" d="M0,0 C0,0 1,1 2190,5130 C2190,5070 2220,5010 2205,4980" />
     21      */
     22     const SkPoint src[] = {
     23         { SkIntToScalar(2190), SkIntToScalar(5130) },
     24         { SkIntToScalar(2190), SkIntToScalar(5070) },
     25         { SkIntToScalar(2220), SkIntToScalar(5010) },
     26         { SkIntToScalar(2205), SkIntToScalar(4980) },
     27     };
     28     SkPoint dst[13];
     29     SkScalar tValues[3];
     30     // make sure we don't assert internally
     31     int count = SkChopCubicAtMaxCurvature(src, dst, tValues);
     32     if (false) { // avoid bit rot, suppress warning
     33         REPORTER_ASSERT(reporter, count);
     34     }
     35 }
     36 
     37 static void check_pairs(skiatest::Reporter* reporter, int index, SkScalar t, const char name[],
     38                         SkScalar x0, SkScalar y0, SkScalar x1, SkScalar y1) {
     39     bool eq = SkScalarNearlyEqual(x0, x1) && SkScalarNearlyEqual(y0, y1);
     40     if (!eq) {
     41         SkDebugf("%s [%d %g] p0 [%10.8f %10.8f] p1 [%10.8f %10.8f]\n",
     42                  name, index, t, x0, y0, x1, y1);
     43         REPORTER_ASSERT(reporter, eq);
     44     }
     45 }
     46 
     47 static void test_evalquadat(skiatest::Reporter* reporter) {
     48     SkRandom rand;
     49     for (int i = 0; i < 1000; ++i) {
     50         SkPoint pts[3];
     51         for (int j = 0; j < 3; ++j) {
     52             pts[j].set(rand.nextSScalar1() * 100, rand.nextSScalar1() * 100);
     53         }
     54         const SkScalar dt = SK_Scalar1 / 128;
     55         SkScalar t = dt;
     56         for (int j = 1; j < 128; ++j) {
     57             SkPoint r0;
     58             SkEvalQuadAt(pts, t, &r0);
     59             SkPoint r1 = SkEvalQuadAt(pts, t);
     60             check_pairs(reporter, i, t, "quad-pos", r0.fX, r0.fY, r1.fX, r1.fY);
     61 
     62             SkVector v0;
     63             SkEvalQuadAt(pts, t, nullptr, &v0);
     64             SkVector v1 = SkEvalQuadTangentAt(pts, t);
     65             check_pairs(reporter, i, t, "quad-tan", v0.fX, v0.fY, v1.fX, v1.fY);
     66 
     67             t += dt;
     68         }
     69     }
     70 }
     71 
     72 static void test_conic_eval_pos(skiatest::Reporter* reporter, const SkConic& conic, SkScalar t) {
     73     SkPoint p0, p1;
     74     conic.evalAt(t, &p0, nullptr);
     75     p1 = conic.evalAt(t);
     76     check_pairs(reporter, 0, t, "conic-pos", p0.fX, p0.fY, p1.fX, p1.fY);
     77 }
     78 
     79 static void test_conic_eval_tan(skiatest::Reporter* reporter, const SkConic& conic, SkScalar t) {
     80     SkVector v0, v1;
     81     conic.evalAt(t, nullptr, &v0);
     82     v1 = conic.evalTangentAt(t);
     83     check_pairs(reporter, 0, t, "conic-tan", v0.fX, v0.fY, v1.fX, v1.fY);
     84 }
     85 
     86 static void test_conic(skiatest::Reporter* reporter) {
     87     SkRandom rand;
     88     for (int i = 0; i < 1000; ++i) {
     89         SkPoint pts[3];
     90         for (int j = 0; j < 3; ++j) {
     91             pts[j].set(rand.nextSScalar1() * 100, rand.nextSScalar1() * 100);
     92         }
     93         for (int k = 0; k < 10; ++k) {
     94             SkScalar w = rand.nextUScalar1() * 2;
     95             SkConic conic(pts, w);
     96 
     97             const SkScalar dt = SK_Scalar1 / 128;
     98             SkScalar t = dt;
     99             for (int j = 1; j < 128; ++j) {
    100                 test_conic_eval_pos(reporter, conic, t);
    101                 test_conic_eval_tan(reporter, conic, t);
    102                 t += dt;
    103             }
    104         }
    105     }
    106 }
    107 
    108 static void test_quad_tangents(skiatest::Reporter* reporter) {
    109     SkPoint pts[] = {
    110         {10, 20}, {10, 20}, {20, 30},
    111         {10, 20}, {15, 25}, {20, 30},
    112         {10, 20}, {20, 30}, {20, 30},
    113     };
    114     int count = (int) SK_ARRAY_COUNT(pts) / 3;
    115     for (int index = 0; index < count; ++index) {
    116         SkConic conic(&pts[index * 3], 0.707f);
    117         SkVector start = SkEvalQuadTangentAt(&pts[index * 3], 0);
    118         SkVector mid = SkEvalQuadTangentAt(&pts[index * 3], .5f);
    119         SkVector end = SkEvalQuadTangentAt(&pts[index * 3], 1);
    120         REPORTER_ASSERT(reporter, start.fX && start.fY);
    121         REPORTER_ASSERT(reporter, mid.fX && mid.fY);
    122         REPORTER_ASSERT(reporter, end.fX && end.fY);
    123         REPORTER_ASSERT(reporter, SkScalarNearlyZero(start.cross(mid)));
    124         REPORTER_ASSERT(reporter, SkScalarNearlyZero(mid.cross(end)));
    125     }
    126 }
    127 
    128 static void test_conic_tangents(skiatest::Reporter* reporter) {
    129     SkPoint pts[] = {
    130         { 10, 20}, {10, 20}, {20, 30},
    131         { 10, 20}, {15, 25}, {20, 30},
    132         { 10, 20}, {20, 30}, {20, 30}
    133     };
    134     int count = (int) SK_ARRAY_COUNT(pts) / 3;
    135     for (int index = 0; index < count; ++index) {
    136         SkConic conic(&pts[index * 3], 0.707f);
    137         SkVector start = conic.evalTangentAt(0);
    138         SkVector mid = conic.evalTangentAt(.5f);
    139         SkVector end = conic.evalTangentAt(1);
    140         REPORTER_ASSERT(reporter, start.fX && start.fY);
    141         REPORTER_ASSERT(reporter, mid.fX && mid.fY);
    142         REPORTER_ASSERT(reporter, end.fX && end.fY);
    143         REPORTER_ASSERT(reporter, SkScalarNearlyZero(start.cross(mid)));
    144         REPORTER_ASSERT(reporter, SkScalarNearlyZero(mid.cross(end)));
    145     }
    146 }
    147 
    148 static void test_cubic_tangents(skiatest::Reporter* reporter) {
    149     SkPoint pts[] = {
    150         { 10, 20}, {10, 20}, {20, 30}, {30, 40},
    151         { 10, 20}, {15, 25}, {20, 30}, {30, 40},
    152         { 10, 20}, {20, 30}, {30, 40}, {30, 40},
    153     };
    154     int count = (int) SK_ARRAY_COUNT(pts) / 4;
    155     for (int index = 0; index < count; ++index) {
    156         SkConic conic(&pts[index * 3], 0.707f);
    157         SkVector start, mid, end;
    158         SkEvalCubicAt(&pts[index * 4], 0, nullptr, &start, nullptr);
    159         SkEvalCubicAt(&pts[index * 4], .5f, nullptr, &mid, nullptr);
    160         SkEvalCubicAt(&pts[index * 4], 1, nullptr, &end, nullptr);
    161         REPORTER_ASSERT(reporter, start.fX && start.fY);
    162         REPORTER_ASSERT(reporter, mid.fX && mid.fY);
    163         REPORTER_ASSERT(reporter, end.fX && end.fY);
    164         REPORTER_ASSERT(reporter, SkScalarNearlyZero(start.cross(mid)));
    165         REPORTER_ASSERT(reporter, SkScalarNearlyZero(mid.cross(end)));
    166     }
    167 }
    168 
    169 DEF_TEST(Geometry, reporter) {
    170     SkPoint pts[3], dst[5];
    171 
    172     pts[0].set(0, 0);
    173     pts[1].set(100, 50);
    174     pts[2].set(0, 100);
    175 
    176     int count = SkChopQuadAtMaxCurvature(pts, dst);
    177     REPORTER_ASSERT(reporter, count == 1 || count == 2);
    178 
    179     pts[0].set(0, 0);
    180     pts[1].set(3, 0);
    181     pts[2].set(3, 3);
    182     SkConvertQuadToCubic(pts, dst);
    183     const SkPoint cubic[] = {
    184         { 0, 0, }, { 2, 0, }, { 3, 1, }, { 3, 3 },
    185     };
    186     for (int i = 0; i < 4; ++i) {
    187         REPORTER_ASSERT(reporter, nearly_equal(cubic[i], dst[i]));
    188     }
    189 
    190     testChopCubic(reporter);
    191     test_evalquadat(reporter);
    192     test_conic(reporter);
    193     test_cubic_tangents(reporter);
    194     test_quad_tangents(reporter);
    195     test_conic_tangents(reporter);
    196 }
    197