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skia2/tests/GeometryTest.cpp
Cary Clark db16001d6a add circles to stroked cubics with cusps 
Add a circle at the cusp to match Adobe Illustrator,
Microsoft Edge, and our own CCPR implementation.

R=reed@google.com,csmartdalton@google.com
Bug: skia:5623
Change-Id: Ia46c910643f373e50c4b30303fcac5f79d77be62
Reviewed-on: https://skia-review.googlesource.com/150370
Commit-Queue: Cary Clark <caryclark@skia.org>
Reviewed-by: Mike Reed <reed@google.com>
2018-08-31 19:55:44 +00:00

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/*
* Copyright 2011 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "SkGeometry.h"
#include "SkPointPriv.h"
#include "SkRandom.h"
#include "Test.h"
#include <array>
#include <numeric>
static bool nearly_equal(const SkPoint& a, const SkPoint& b) {
return SkScalarNearlyEqual(a.fX, b.fX) && SkScalarNearlyEqual(a.fY, b.fY);
}
static void testChopCubic(skiatest::Reporter* reporter) {
/*
Inspired by this test, which used to assert that the tValues had dups
<path stroke="#202020" d="M0,0 C0,0 1,1 2190,5130 C2190,5070 2220,5010 2205,4980" />
*/
const SkPoint src[] = {
{ SkIntToScalar(2190), SkIntToScalar(5130) },
{ SkIntToScalar(2190), SkIntToScalar(5070) },
{ SkIntToScalar(2220), SkIntToScalar(5010) },
{ SkIntToScalar(2205), SkIntToScalar(4980) },
};
SkPoint dst[13];
SkScalar tValues[3];
// make sure we don't assert internally
int count = SkChopCubicAtMaxCurvature(src, dst, tValues);
if (false) { // avoid bit rot, suppress warning
REPORTER_ASSERT(reporter, count);
}
// Make sure src and dst can be the same pointer.
SkPoint pts[7];
for (int i = 0; i < 7; ++i) {
pts[i].set(i, i);
}
SkChopCubicAt(pts, pts, .5f);
for (int i = 0; i < 7; ++i) {
REPORTER_ASSERT(reporter, pts[i].fX == pts[i].fY);
REPORTER_ASSERT(reporter, pts[i].fX == i * .5f);
}
}
static void check_pairs(skiatest::Reporter* reporter, int index, SkScalar t, const char name[],
SkScalar x0, SkScalar y0, SkScalar x1, SkScalar y1) {
bool eq = SkScalarNearlyEqual(x0, x1) && SkScalarNearlyEqual(y0, y1);
if (!eq) {
SkDebugf("%s [%d %g] p0 [%10.8f %10.8f] p1 [%10.8f %10.8f]\n",
name, index, t, x0, y0, x1, y1);
REPORTER_ASSERT(reporter, eq);
}
}
static void test_evalquadat(skiatest::Reporter* reporter) {
SkRandom rand;
for (int i = 0; i < 1000; ++i) {
SkPoint pts[3];
for (int j = 0; j < 3; ++j) {
pts[j].set(rand.nextSScalar1() * 100, rand.nextSScalar1() * 100);
}
const SkScalar dt = SK_Scalar1 / 128;
SkScalar t = dt;
for (int j = 1; j < 128; ++j) {
SkPoint r0;
SkEvalQuadAt(pts, t, &r0);
SkPoint r1 = SkEvalQuadAt(pts, t);
check_pairs(reporter, i, t, "quad-pos", r0.fX, r0.fY, r1.fX, r1.fY);
SkVector v0;
SkEvalQuadAt(pts, t, nullptr, &v0);
SkVector v1 = SkEvalQuadTangentAt(pts, t);
check_pairs(reporter, i, t, "quad-tan", v0.fX, v0.fY, v1.fX, v1.fY);
t += dt;
}
}
}
static void test_conic_eval_pos(skiatest::Reporter* reporter, const SkConic& conic, SkScalar t) {
SkPoint p0, p1;
conic.evalAt(t, &p0, nullptr);
p1 = conic.evalAt(t);
check_pairs(reporter, 0, t, "conic-pos", p0.fX, p0.fY, p1.fX, p1.fY);
}
static void test_conic_eval_tan(skiatest::Reporter* reporter, const SkConic& conic, SkScalar t) {
SkVector v0, v1;
conic.evalAt(t, nullptr, &v0);
v1 = conic.evalTangentAt(t);
check_pairs(reporter, 0, t, "conic-tan", v0.fX, v0.fY, v1.fX, v1.fY);
}
static void test_conic(skiatest::Reporter* reporter) {
SkRandom rand;
for (int i = 0; i < 1000; ++i) {
SkPoint pts[3];
for (int j = 0; j < 3; ++j) {
pts[j].set(rand.nextSScalar1() * 100, rand.nextSScalar1() * 100);
}
for (int k = 0; k < 10; ++k) {
SkScalar w = rand.nextUScalar1() * 2;
SkConic conic(pts, w);
const SkScalar dt = SK_Scalar1 / 128;
SkScalar t = dt;
for (int j = 1; j < 128; ++j) {
test_conic_eval_pos(reporter, conic, t);
test_conic_eval_tan(reporter, conic, t);
t += dt;
}
}
}
}
static void test_quad_tangents(skiatest::Reporter* reporter) {
SkPoint pts[] = {
{10, 20}, {10, 20}, {20, 30},
{10, 20}, {15, 25}, {20, 30},
{10, 20}, {20, 30}, {20, 30},
};
int count = (int) SK_ARRAY_COUNT(pts) / 3;
for (int index = 0; index < count; ++index) {
SkConic conic(&pts[index * 3], 0.707f);
SkVector start = SkEvalQuadTangentAt(&pts[index * 3], 0);
SkVector mid = SkEvalQuadTangentAt(&pts[index * 3], .5f);
SkVector end = SkEvalQuadTangentAt(&pts[index * 3], 1);
REPORTER_ASSERT(reporter, start.fX && start.fY);
REPORTER_ASSERT(reporter, mid.fX && mid.fY);
REPORTER_ASSERT(reporter, end.fX && end.fY);
REPORTER_ASSERT(reporter, SkScalarNearlyZero(start.cross(mid)));
REPORTER_ASSERT(reporter, SkScalarNearlyZero(mid.cross(end)));
}
}
static void test_conic_tangents(skiatest::Reporter* reporter) {
SkPoint pts[] = {
{ 10, 20}, {10, 20}, {20, 30},
{ 10, 20}, {15, 25}, {20, 30},
{ 10, 20}, {20, 30}, {20, 30}
};
int count = (int) SK_ARRAY_COUNT(pts) / 3;
for (int index = 0; index < count; ++index) {
SkConic conic(&pts[index * 3], 0.707f);
SkVector start = conic.evalTangentAt(0);
SkVector mid = conic.evalTangentAt(.5f);
SkVector end = conic.evalTangentAt(1);
REPORTER_ASSERT(reporter, start.fX && start.fY);
REPORTER_ASSERT(reporter, mid.fX && mid.fY);
REPORTER_ASSERT(reporter, end.fX && end.fY);
REPORTER_ASSERT(reporter, SkScalarNearlyZero(start.cross(mid)));
REPORTER_ASSERT(reporter, SkScalarNearlyZero(mid.cross(end)));
}
}
static void test_this_conic_to_quad(skiatest::Reporter* r, const SkPoint pts[3], SkScalar w) {
SkAutoConicToQuads quadder;
const SkPoint* qpts = quadder.computeQuads(pts, w, 0.25);
const int qcount = quadder.countQuads();
const int pcount = qcount * 2 + 1;
REPORTER_ASSERT(r, SkPointPriv::AreFinite(qpts, pcount));
}
/**
* We need to ensure that when a conic is approximated by quads, that we always return finite
* values in the quads.
*
* Inspired by crbug_627414
*/
static void test_conic_to_quads(skiatest::Reporter* reporter) {
const SkPoint triples[] = {
{ 0, 0 }, { 1, 0 }, { 1, 1 },
{ 0, 0 }, { 3.58732e-43f, 2.72084f }, { 3.00392f, 3.00392f },
{ 0, 0 }, { 100000, 0 }, { 100000, 100000 },
{ 0, 0 }, { 1e30f, 0 }, { 1e30f, 1e30f },
};
const int N = sizeof(triples) / sizeof(SkPoint);
for (int i = 0; i < N; i += 3) {
const SkPoint* pts = &triples[i];
SkRect bounds;
bounds.set(pts, 3);
SkScalar w = 1e30f;
do {
w *= 2;
test_this_conic_to_quad(reporter, pts, w);
} while (SkScalarIsFinite(w));
test_this_conic_to_quad(reporter, pts, SK_ScalarNaN);
}
}
static void test_cubic_tangents(skiatest::Reporter* reporter) {
SkPoint pts[] = {
{ 10, 20}, {10, 20}, {20, 30}, {30, 40},
{ 10, 20}, {15, 25}, {20, 30}, {30, 40},
{ 10, 20}, {20, 30}, {30, 40}, {30, 40},
};
int count = (int) SK_ARRAY_COUNT(pts) / 4;
for (int index = 0; index < count; ++index) {
SkConic conic(&pts[index * 3], 0.707f);
SkVector start, mid, end;
SkEvalCubicAt(&pts[index * 4], 0, nullptr, &start, nullptr);
SkEvalCubicAt(&pts[index * 4], .5f, nullptr, &mid, nullptr);
SkEvalCubicAt(&pts[index * 4], 1, nullptr, &end, nullptr);
REPORTER_ASSERT(reporter, start.fX && start.fY);
REPORTER_ASSERT(reporter, mid.fX && mid.fY);
REPORTER_ASSERT(reporter, end.fX && end.fY);
REPORTER_ASSERT(reporter, SkScalarNearlyZero(start.cross(mid)));
REPORTER_ASSERT(reporter, SkScalarNearlyZero(mid.cross(end)));
}
}
static void check_cubic_type(skiatest::Reporter* reporter,
const std::array<SkPoint, 4>& bezierPoints, SkCubicType expectedType,
bool undefined = false) {
// Classify the cubic even if the results will be undefined: check for crashes and asserts.
SkCubicType actualType = SkClassifyCubic(bezierPoints.data());
if (!undefined) {
REPORTER_ASSERT(reporter, actualType == expectedType);
}
}
static void check_cubic_around_rect(skiatest::Reporter* reporter,
float x1, float y1, float x2, float y2,
bool undefined = false) {
static constexpr SkCubicType expectations[24] = {
SkCubicType::kLoop,
SkCubicType::kCuspAtInfinity,
SkCubicType::kLocalCusp,
SkCubicType::kLocalCusp,
SkCubicType::kCuspAtInfinity,
SkCubicType::kLoop,
SkCubicType::kCuspAtInfinity,
SkCubicType::kLoop,
SkCubicType::kCuspAtInfinity,
SkCubicType::kLoop,
SkCubicType::kLocalCusp,
SkCubicType::kLocalCusp,
SkCubicType::kLocalCusp,
SkCubicType::kLocalCusp,
SkCubicType::kLoop,
SkCubicType::kCuspAtInfinity,
SkCubicType::kLoop,
SkCubicType::kCuspAtInfinity,
SkCubicType::kLoop,
SkCubicType::kCuspAtInfinity,
SkCubicType::kLocalCusp,
SkCubicType::kLocalCusp,
SkCubicType::kCuspAtInfinity,
SkCubicType::kLoop,
};
SkPoint points[] = {{x1, y1}, {x2, y1}, {x2, y2}, {x1, y2}};
std::array<SkPoint, 4> bezier;
for (int i=0; i < 4; ++i) {
bezier[0] = points[i];
for (int j=0; j < 3; ++j) {
int jidx = (j < i) ? j : j+1;
bezier[1] = points[jidx];
for (int k=0, kidx=0; k < 2; ++k, ++kidx) {
for (int n = 0; n < 2; ++n) {
kidx = (kidx == i || kidx == jidx) ? kidx+1 : kidx;
}
bezier[2] = points[kidx];
for (int l = 0; l < 4; ++l) {
if (l != i && l != jidx && l != kidx) {
bezier[3] = points[l];
break;
}
}
check_cubic_type(reporter, bezier, expectations[i*6 + j*2 + k], undefined);
}
}
}
for (int i=0; i < 4; ++i) {
bezier[0] = points[i];
for (int j=0; j < 3; ++j) {
int jidx = (j < i) ? j : j+1;
bezier[1] = points[jidx];
bezier[2] = points[jidx];
for (int k=0, kidx=0; k < 2; ++k, ++kidx) {
for (int n = 0; n < 2; ++n) {
kidx = (kidx == i || kidx == jidx) ? kidx+1 : kidx;
}
bezier[3] = points[kidx];
check_cubic_type(reporter, bezier, SkCubicType::kSerpentine, undefined);
}
}
}
}
static void test_classify_cubic(skiatest::Reporter* reporter) {
check_cubic_type(reporter, {{{149.325f, 107.705f}, {149.325f, 103.783f},
{151.638f, 100.127f}, {156.263f, 96.736f}}},
SkCubicType::kSerpentine);
check_cubic_type(reporter, {{{225.694f, 223.15f}, {209.831f, 224.837f},
{195.994f, 230.237f}, {184.181f, 239.35f}}},
SkCubicType::kSerpentine);
check_cubic_type(reporter, {{{4.873f, 5.581f}, {5.083f, 5.2783f},
{5.182f, 4.8593f}, {5.177f, 4.3242f}}},
SkCubicType::kSerpentine);
check_cubic_around_rect(reporter, 0, 0, 1, 1);
check_cubic_around_rect(reporter,
-std::numeric_limits<float>::max(),
-std::numeric_limits<float>::max(),
+std::numeric_limits<float>::max(),
+std::numeric_limits<float>::max());
check_cubic_around_rect(reporter, 1, 1,
+std::numeric_limits<float>::min(),
+std::numeric_limits<float>::max());
check_cubic_around_rect(reporter,
-std::numeric_limits<float>::min(),
-std::numeric_limits<float>::min(),
+std::numeric_limits<float>::min(),
+std::numeric_limits<float>::min());
check_cubic_around_rect(reporter, +1, -std::numeric_limits<float>::min(), -1, -1);
check_cubic_around_rect(reporter,
-std::numeric_limits<float>::infinity(),
-std::numeric_limits<float>::infinity(),
+std::numeric_limits<float>::infinity(),
+std::numeric_limits<float>::infinity(),
true);
check_cubic_around_rect(reporter, 0, 0, 1, +std::numeric_limits<float>::infinity(), true);
check_cubic_around_rect(reporter,
-std::numeric_limits<float>::quiet_NaN(),
-std::numeric_limits<float>::quiet_NaN(),
+std::numeric_limits<float>::quiet_NaN(),
+std::numeric_limits<float>::quiet_NaN(),
true);
check_cubic_around_rect(reporter, 0, 0, 1, +std::numeric_limits<float>::quiet_NaN(), true);
}
static void test_cubic_cusps(skiatest::Reporter* reporter) {
std::array<SkPoint, 4> noCusps[] = {
{{{0, 0}, {1, 1}, {2, 2}, {3, 3}}},
{{{0, 0}, {1, 0}, {1, 1}, {0, 1}}},
{{{0, 0}, {1, 0}, {2, 1}, {2, 2}}},
{{{0, 0}, {1, 0}, {1, 1}, {2, 1}}},
};
for (auto noCusp : noCusps) {
REPORTER_ASSERT(reporter, SkFindCubicCusp(noCusp.data()) < 0);
}
std::array<SkPoint, 4> cusps[] = {
{{{0, 0}, {1, 1}, {1, 0}, {0, 1}}},
{{{0, 0}, {1, 1}, {0, 1}, {1, 0}}},
{{{0, 1}, {1, 0}, {0, 0}, {1, 1}}},
{{{0, 1}, {1, 0}, {1, 1}, {0, 0}}},
};
for (auto cusp : cusps) {
REPORTER_ASSERT(reporter, SkFindCubicCusp(cusp.data()) > 0);
}
}
DEF_TEST(Geometry, reporter) {
SkPoint pts[5];
pts[0].set(0, 0);
pts[1].set(100, 50);
pts[2].set(0, 100);
int count = SkChopQuadAtMaxCurvature(pts, pts); // Ensure src and dst can be the same pointer.
REPORTER_ASSERT(reporter, count == 1 || count == 2);
pts[0].set(0, 0);
pts[1].set(3, 0);
pts[2].set(3, 3);
SkConvertQuadToCubic(pts, pts);
const SkPoint cubic[] = {
{ 0, 0, }, { 2, 0, }, { 3, 1, }, { 3, 3 },
};
for (int i = 0; i < 4; ++i) {
REPORTER_ASSERT(reporter, nearly_equal(cubic[i], pts[i]));
}
testChopCubic(reporter);
test_evalquadat(reporter);
test_conic(reporter);
test_cubic_tangents(reporter);
test_quad_tangents(reporter);
test_conic_tangents(reporter);
test_conic_to_quads(reporter);
test_classify_cubic(reporter);
test_cubic_cusps(reporter);
}
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