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/*************************************************************************
** EllipticalArcTest.cpp **
** **
** This file is part of dvisvgm -- a fast DVI to SVG converter **
** Copyright (C) 2005-2023 Martin Gieseking <martin.gieseking@uos.de> **
** **
** This program is free software; you can redistribute it and/or **
** modify it under the terms of the GNU General Public License as **
** published by the Free Software Foundation; either version 3 of **
** the License, or (at your option) any later version. **
** **
** This program is distributed in the hope that it will be useful, but **
** WITHOUT ANY WARRANTY; without even the implied warranty of **
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the **
** GNU General Public License for more details. **
** **
** You should have received a copy of the GNU General Public License **
** along with this program; if not, see <http://www.gnu.org/licenses/>. **
*************************************************************************/
#include <gtest/gtest.h>
#include <sstream>
#include "EllipticalArc.hpp"
#include "utility.hpp"
using namespace std;
#define EXPECT_NEAR_PAIR(p1, p2, eps) \
EXPECT_NEAR(p1.x(), p2.x(), eps); \
EXPECT_NEAR(p1.y(), p2.y(), eps)
TEST(EllipticalArcTest, construct1) {
EllipticalArc arc(DPair(125,75), 100, 50, math::deg2rad(30), 1, 1, DPair(225, 125));
EXPECT_FALSE(arc.isStraightLine());
EXPECT_EQ(arc.startPoint(), DPair(125,75));
EXPECT_EQ(arc.endPoint(), DPair(225,125));
EXPECT_EQ(arc.rx(), 100);
EXPECT_EQ(arc.ry(), 50);
EXPECT_NEAR(math::rad2deg(arc.rotationAngle()), 30, 0.0001);
EXPECT_TRUE(arc.largeArc());
EXPECT_TRUE(arc.sweepPositive());
}
TEST(EllipticalArcTest, construct2) {
// radii two small, check automatic adaption
EllipticalArc arc(DPair(125,75), 20, 10, math::deg2rad(30), 1, 1, DPair(225, 125));
EXPECT_FALSE(arc.isStraightLine());
EXPECT_EQ(arc.startPoint(), DPair(125,75));
EXPECT_EQ(arc.endPoint(), DPair(225,125));
EXPECT_NEAR(arc.rx(), 56.2, 0.01);
EXPECT_NEAR(arc.ry(), 28.1, 0.01);
EXPECT_NEAR(math::rad2deg(arc.rotationAngle()), 30, 0.0001);
EXPECT_TRUE(arc.largeArc());
EXPECT_TRUE(arc.sweepPositive());
}
TEST(EllipticalArcTest, construct3) {
EXPECT_TRUE(EllipticalArc(DPair(125,75), 0, 10, math::deg2rad(30), 1, 1, DPair(225, 125)).isStraightLine());
EXPECT_TRUE(EllipticalArc(DPair(125,75), 20, 0, math::deg2rad(30), 1, 1, DPair(225, 125)).isStraightLine());
EXPECT_TRUE(EllipticalArc(DPair(125,75), 0, 0, math::deg2rad(30), 1, 1, DPair(225, 125)).isStraightLine());
}
TEST(EllipticalArcTest, construct4) {
// center parameterization
EllipticalArc arc(DPair(100,100), 100, 50, math::deg2rad(30), math::deg2rad(30), math::deg2rad(80));
EXPECT_FALSE(arc.isStraightLine());
EXPECT_NEAR_PAIR(arc.startPoint(), DPair(152.452, 164.952), 0.001);
EXPECT_NEAR_PAIR(arc.endPoint(), DPair(50.856, 123.589), 0.001);
EXPECT_NEAR(arc.rx(), 100, 0.1);
EXPECT_NEAR(arc.ry(), 50, 0.1);
EXPECT_NEAR(math::rad2deg(arc.rotationAngle()), 30, 0.0001);
EXPECT_FALSE(arc.largeArc());
EXPECT_TRUE(arc.sweepPositive());
}
TEST(EllipticalArcTest, transform) {
EllipticalArc arc(DPair(125,75), 100, 50, math::deg2rad(30), 1, 1, DPair(225, 125));
Matrix m(1);
m.scale(1,2).rotate(30).xskewByAngle(15).rotate(20).yskewByAngle(-20);
arc.transform(m);
EXPECT_NEAR_PAIR(arc.startPoint(), DPair(13.8871, 204.752), 0.001);
EXPECT_NEAR_PAIR(arc.endPoint(), DPair(35.957, 350.121), 0.001);
EXPECT_NEAR(arc.rx(), 154.73, 0.001);
EXPECT_NEAR(arc.ry(), 64.629, 0.001);
EXPECT_NEAR(math::rad2deg(arc.rotationAngle()), -81.748, 0.001);
EXPECT_TRUE(arc.largeArc());
EXPECT_TRUE(arc.sweepPositive());
}
TEST(EllipticalArcTest, bbox1) {
EllipticalArc arc(DPair(125,75), 100, 50, math::deg2rad(30), 1, 1, DPair(225, 125));
BoundingBox bbox = arc.getBBox();
EXPECT_NEAR(bbox.minX(), 96.854, 0.001);
EXPECT_NEAR(bbox.minY(), -6.633, 0.001);
EXPECT_NEAR(bbox.width(), 180.278, 0.001);
EXPECT_NEAR(bbox.height(), 132.288, 0.001);
}
TEST(EllipticalArcTest, bbox2) {
EllipticalArc arc(DPair(125,75), 100, 50, math::deg2rad(30), 0, 1, DPair(225, 125));
BoundingBox bbox = arc.getBBox();
EXPECT_NEAR(bbox.minX(), 125, 0.1);
EXPECT_NEAR(bbox.minY(), 75, 0.1);
EXPECT_NEAR(bbox.width(), 100, 0.1);
EXPECT_NEAR(bbox.height(), 50, 0.1);
}
TEST(EllipticalArcTest, approximate1) {
EllipticalArc arc(DPair(125,75), 100, 50, math::deg2rad(30), 1, 1, DPair(225, 125));
auto beziers = arc.approximate();
ASSERT_EQ(beziers.size(), 4u);
DPair data[4][4] = {
{DPair(125, 75), DPair(96.271, 46.768), DPair(88.655, 17.402), DPair(106.223, 2.602)},
{DPair(106.223, 2.602), DPair(123.791, -12.198), DPair(162.434, -8.971), DPair(201.493, 10.558)},
{DPair(201.493, 10.558), DPair(240.551, 30.088), DPair(270.89, 61.351), DPair(276.289, 87.635)},
{DPair(276.289, 87.635), DPair(281.688, 113.919), DPair(260.884, 129.074), DPair(225, 125)}
};
for (int i=0; i < 4; i++) {
for (int j=0; j < 4; j++) {
EXPECT_NEAR_PAIR(beziers[i].point(j), data[i][j], 0.001);
}
}
}
TEST(EllipticalArcTest, approximate2) {
EllipticalArc arc(DPair(125,75), 100, 50, math::deg2rad(30), 0, 1, DPair(225, 125));
auto beziers = arc.approximate();
ASSERT_EQ(beziers.size(), 1u);
DPair data[] = {DPair(125, 75), DPair(158.522, 78.806), DPair(198.163, 98.627), DPair(225, 125)};
for (int j=0; j < 4; j++) {
EXPECT_NEAR_PAIR(beziers[0].point(j), data[j], 0.001);
}
}
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