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+/** @file
+ * @brief Unit tests for Line and related functions
+ * Uses the Google Testing Framework
+ *//*
+ * Authors:
+ * Krzysztof KosiƄski <tweenk.pl@gmail.com>
+ *
+ * Copyright 2015 Authors
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it either under the terms of the GNU Lesser General Public
+ * License version 2.1 as published by the Free Software Foundation
+ * (the "LGPL") or, at your option, under the terms of the Mozilla
+ * Public License Version 1.1 (the "MPL"). If you do not alter this
+ * notice, a recipient may use your version of this file under either
+ * the MPL or the LGPL.
+ *
+ * You should have received a copy of the LGPL along with this library
+ * in the file COPYING-LGPL-2.1; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * You should have received a copy of the MPL along with this library
+ * in the file COPYING-MPL-1.1
+ *
+ * The contents of this file are subject to the Mozilla Public License
+ * Version 1.1 (the "License"); you may not use this file except in
+ * compliance with the License. You may obtain a copy of the License at
+ * http://www.mozilla.org/MPL/
+ *
+ * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
+ * OF ANY KIND, either express or implied. See the LGPL or the MPL for
+ * the specific language governing rights and limitations.
+ */
+
+#include "testing.h"
+#include <iostream>
+#include <glib.h>
+
+#include <2geom/line.h>
+#include <2geom/affine.h>
+
+using namespace Geom;
+
+TEST(LineTest, VectorAndVersor) {
+ Line a(Point(10, 10), Point(-10, 20));
+ Line b(Point(10, 10), Point(15, 15));
+ EXPECT_EQ(a.vector(), Point(-20, 10));
+ EXPECT_EQ(b.vector(), Point(5, 5));
+ EXPECT_EQ(a.versor(), a.vector().normalized());
+ EXPECT_EQ(b.versor(), b.vector().normalized());
+}
+
+TEST(LineTest, AngleBisector) {
+ Point o(0,0), a(1,1), b(3,0), c(-4, 0);
+ Point d(0.5231, 0.75223);
+
+ // normal
+ Line ab1 = make_angle_bisector_line(a + d, o + d, b + d);
+ Line ab2 = make_angle_bisector_line(a - d, o - d, b - d);
+ EXPECT_FLOAT_EQ(ab1.angle(), Angle::from_degrees(22.5));
+ EXPECT_FLOAT_EQ(ab2.angle(), Angle::from_degrees(22.5));
+
+ // half angle
+ Line bc1 = make_angle_bisector_line(b + d, o + d, c + d);
+ Line bc2 = make_angle_bisector_line(b - d, o - d, c - d);
+ EXPECT_FLOAT_EQ(bc1.angle(), Angle::from_degrees(90));
+ EXPECT_FLOAT_EQ(bc2.angle(), Angle::from_degrees(90));
+
+ // zero angle
+ Line aa1 = make_angle_bisector_line(a + d, o + d, a + d);
+ Line aa2 = make_angle_bisector_line(a - d, o - d, a - d);
+ EXPECT_FLOAT_EQ(aa1.angle(), Angle::from_degrees(45));
+ EXPECT_FLOAT_EQ(aa2.angle(), Angle::from_degrees(45));
+}
+
+TEST(LineTest, Equality) {
+ Line a(Point(0,0), Point(2,2));
+ Line b(Point(2,2), Point(5,5));
+
+ EXPECT_EQ(a, a);
+ EXPECT_EQ(b, b);
+ EXPECT_EQ(a, b);
+}
+
+TEST(LineTest, Reflection) {
+ Line a(Point(10, 0), Point(15,5));
+ Point pa(10,5), ra(15,0);
+
+ Line b(Point(1,-2), Point(2,0));
+ Point pb(5,1), rb(1,3);
+ Affine reflecta = a.reflection(), reflectb = b.reflection();
+
+ Point testra = pa * reflecta;
+ Point testrb = pb * reflectb;
+
+ constexpr Coord eps{1e-12};
+ EXPECT_near(testra[X], ra[X], eps);
+ EXPECT_near(testra[Y], ra[Y], eps);
+ EXPECT_near(testrb[X], rb[X], eps);
+ EXPECT_near(testrb[Y], rb[Y], eps);
+}
+
+TEST(LineTest, RotationToZero) {
+ Line a(Point(-5,23), Point(15,27));
+ Affine mx = a.rotationToZero(X);
+ Affine my = a.rotationToZero(Y);
+
+ for (unsigned i = 0; i <= 12; ++i) {
+ double t = -1 + 0.25 * i;
+ Point p = a.pointAt(t);
+ Point rx = p * mx;
+ Point ry = p * my;
+ //std::cout << rx[X] << " " << ry[Y] << std::endl;
+ // unfortunately this is precise only to about 1e-14
+ EXPECT_NEAR(rx[X], 0, 1e-14);
+ EXPECT_NEAR(ry[Y], 0, 1e-14);
+ }
+}
+
+TEST(LineTest, Coefficients) {
+ std::vector<Line> lines;
+ lines.emplace_back(Point(1e3,1e3), Point(1,1));
+ //the case below will never work without normalizing the line
+ //lines.emplace_back(Point(1e5,1e5), Point(1e-15,0));
+ lines.emplace_back(Point(1e5,1e5), Point(1e5,-1e5));
+ lines.emplace_back(Point(-3,10), Point(3,10));
+ lines.emplace_back(Point(250,333), Point(-72,121));
+
+ for (auto & line : lines) {
+ Coord a, b, c, A, B, C;
+ line.coefficients(a, b, c);
+ /*std::cout << format_coord_nice(a) << " "
+ << format_coord_nice(b) << " "
+ << format_coord_nice(c) << std::endl;*/
+ Line k(a, b, c);
+ //std::cout << k.initialPoint() << " " << k.finalPoint() << std::endl;
+ k.coefficients(A, B, C);
+ /*std::cout << format_coord_nice(A) << " "
+ << format_coord_nice(B) << " "
+ << format_coord_nice(C) << std::endl;*/
+ EXPECT_DOUBLE_EQ(a, A);
+ EXPECT_DOUBLE_EQ(b, B);
+ EXPECT_DOUBLE_EQ(c, C);
+
+ for (unsigned j = 0; j <= 10; ++j) {
+ double t = j / 10.;
+ Point p = line.pointAt(t);
+ /*std::cout << t << " " << p << " "
+ << A*p[X] + B*p[Y] + C << " "
+ << A*(p[X]-1) + B*(p[Y]+1) + C << std::endl;*/
+ EXPECT_near(A*p[X] + B*p[Y] + C, 0., 2e-11);
+ EXPECT_not_near(A*(p[X]-1) + B*(p[Y]+1) + C, 0., 1e-6);
+ }
+ }
+}
+
+TEST(LineTest, Intersection) {
+ Line a(Point(0,3), Point(1,2));
+ Line b(Point(0,-3), Point(1,-2));
+ LineSegment lsa(Point(0,3), Point(1,2));
+ LineSegment lsb(Point(0,-3), Point(1,-2));
+ LineSegment lsc(Point(3,1), Point(3, -1));
+
+ std::vector<ShapeIntersection> r1, r2, r3;
+
+ r1 = a.intersect(b);
+ ASSERT_EQ(r1.size(), 1u);
+ EXPECT_EQ(r1[0].point(), Point(3,0));
+ EXPECT_intersections_valid(a, b, r1, 1e-15);
+
+ r2 = a.intersect(lsc);
+ ASSERT_EQ(r2.size(), 1u);
+ EXPECT_EQ(r2[0].point(), Point(3,0));
+ EXPECT_intersections_valid(a, lsc, r2, 1e-15);
+
+ r3 = b.intersect(lsc);
+ ASSERT_EQ(r3.size(), 1u);
+ EXPECT_EQ(r3[0].point(), Point(3,0));
+ EXPECT_intersections_valid(a, lsc, r3, 1e-15);
+
+ EXPECT_TRUE(lsa.intersect(lsb).empty());
+ EXPECT_TRUE(lsa.intersect(lsc).empty());
+ EXPECT_TRUE(lsb.intersect(lsc).empty());
+ EXPECT_TRUE(a.intersect(lsb).empty());
+ EXPECT_TRUE(b.intersect(lsa).empty());
+}