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diff --git a/tests/affine-test.cpp b/tests/affine-test.cpp new file mode 100644 index 0000000..2ddeb1d --- /dev/null +++ b/tests/affine-test.cpp @@ -0,0 +1,429 @@ +/** @file + * @brief Unit tests for Affine + * Uses the Google Testing Framework + *//* + * Authors: + * Krzysztof Kosiński <tweenk.pl@gmail.com> + * + * Copyright 2010 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 <gtest/gtest.h> +#include <2geom/affine.h> +#include <2geom/transforms.h> + +namespace Geom { + +TEST(AffineTest, Equality) { + Affine e; // identity + Affine a(1, 2, 3, 4, 5, 6); + EXPECT_EQ(e, e); + EXPECT_EQ(e, Geom::identity()); + EXPECT_EQ(e, Geom::Affine::identity()); + EXPECT_NE(e, a); +} + +TEST(AffineTest, Classification) { + { + Affine a; // identity + EXPECT_TRUE(a.isIdentity()); + EXPECT_TRUE(a.isTranslation()); + EXPECT_TRUE(a.isScale()); + EXPECT_TRUE(a.isUniformScale()); + EXPECT_TRUE(a.isRotation()); + EXPECT_TRUE(a.isHShear()); + EXPECT_TRUE(a.isVShear()); + EXPECT_TRUE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_TRUE(a.preservesArea()); + EXPECT_TRUE(a.preservesAngles()); + EXPECT_TRUE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = Translate(10, 15); // pure translation + EXPECT_FALSE(a.isIdentity()); + EXPECT_TRUE(a.isTranslation()); + EXPECT_FALSE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_TRUE(a.isZoom()); + EXPECT_TRUE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_TRUE(a.preservesArea()); + EXPECT_TRUE(a.preservesAngles()); + EXPECT_TRUE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = Scale(-1.0, 1.0); // flip on the X axis + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_TRUE(a.isScale()); + EXPECT_TRUE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); // zoom must be non-flipping + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_TRUE(a.isNonzeroScale()); + EXPECT_TRUE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_TRUE(a.preservesArea()); + EXPECT_TRUE(a.preservesAngles()); + EXPECT_TRUE(a.preservesDistances()); + EXPECT_TRUE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = Scale(0.5, 0.5); // pure uniform scale + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_TRUE(a.isScale()); + EXPECT_TRUE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_TRUE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_TRUE(a.isNonzeroScale()); + EXPECT_TRUE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_FALSE(a.preservesArea()); + EXPECT_TRUE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = Scale(0.5, -0.5); // pure uniform flipping scale + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_TRUE(a.isScale()); + EXPECT_TRUE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); // zoom must be non-flipping + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_TRUE(a.isNonzeroScale()); + EXPECT_TRUE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_FALSE(a.preservesArea()); + EXPECT_TRUE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_TRUE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = Scale(0.5, 0.7); // pure non-uniform scale + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_TRUE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_TRUE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_FALSE(a.preservesArea()); + EXPECT_FALSE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = Scale(0.5, 2.0); // "squeeze" transform (non-uniform scale with det=1) + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_TRUE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_TRUE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_TRUE(a.preservesArea()); + EXPECT_FALSE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = Rotate(0.7); // pure rotation + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_FALSE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_TRUE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_TRUE(a.isNonzeroRotation()); + EXPECT_TRUE(a.isNonzeroNonpureRotation()); + EXPECT_EQ(a.rotationCenter(), Point(0.0,0.0)); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_TRUE(a.preservesArea()); + EXPECT_TRUE(a.preservesAngles()); + EXPECT_TRUE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Point rotation_center(1.23,4.56); + Affine a = Translate(-rotation_center) * Rotate(0.7) * Translate(rotation_center); // rotation around (1.23,4.56) + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_FALSE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_TRUE(a.isNonzeroNonpureRotation()); + EXPECT_TRUE(are_near(a.rotationCenter(), rotation_center, 1e-7)); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_TRUE(a.preservesArea()); + EXPECT_TRUE(a.preservesAngles()); + EXPECT_TRUE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = HShear(0.5); // pure horizontal shear + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_FALSE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_TRUE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_TRUE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_TRUE(a.preservesArea()); + EXPECT_FALSE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = VShear(0.5); // pure vertical shear + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_FALSE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_TRUE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_TRUE(a.isNonzeroVShear()); + EXPECT_TRUE(a.preservesArea()); + EXPECT_FALSE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + } + { + Affine a = Zoom(3.0, Translate(10, 15)); // zoom + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_FALSE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_TRUE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_FALSE(a.preservesArea()); + EXPECT_TRUE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_FALSE(a.isSingular()); + + EXPECT_TRUE(a.withoutTranslation().isUniformScale()); + EXPECT_TRUE(a.withoutTranslation().isNonzeroUniformScale()); + } + { + Affine a(0, 0, 0, 0, 0, 0); // zero matrix (singular) + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_FALSE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_FALSE(a.preservesArea()); + EXPECT_FALSE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_TRUE(a.isSingular()); + } + { + Affine a(0, 1, 0, 1, 10, 10); // another singular matrix + EXPECT_FALSE(a.isIdentity()); + EXPECT_FALSE(a.isTranslation()); + EXPECT_FALSE(a.isScale()); + EXPECT_FALSE(a.isUniformScale()); + EXPECT_FALSE(a.isRotation()); + EXPECT_FALSE(a.isHShear()); + EXPECT_FALSE(a.isVShear()); + EXPECT_FALSE(a.isZoom()); + EXPECT_FALSE(a.isNonzeroTranslation()); + EXPECT_FALSE(a.isNonzeroScale()); + EXPECT_FALSE(a.isNonzeroUniformScale()); + EXPECT_FALSE(a.isNonzeroRotation()); + EXPECT_FALSE(a.isNonzeroNonpureRotation()); + EXPECT_FALSE(a.isNonzeroHShear()); + EXPECT_FALSE(a.isNonzeroVShear()); + EXPECT_FALSE(a.preservesArea()); + EXPECT_FALSE(a.preservesAngles()); + EXPECT_FALSE(a.preservesDistances()); + EXPECT_FALSE(a.flips()); + EXPECT_TRUE(a.isSingular()); + } +} + +TEST(AffineTest, Inversion) { + Affine i(1, 2, 1, -2, 10, 15); // invertible + Affine n(1, 2, 1, 2, 15, 30); // non-invertible + Affine e; // identity + EXPECT_EQ(i * i.inverse(), e); + EXPECT_EQ(i.inverse().inverse(), i); + EXPECT_EQ(n.inverse(), e); + EXPECT_EQ(e.inverse(), e); +} + +TEST(AffineTest, CoordinateAccess) { + Affine a(0, 1, 2, 3, 4, 5); + for (int i=0; i<6; ++i) { + EXPECT_EQ(a[i], i); + } + for (int i=0; i<6; ++i) { + a[i] = 5*i; + } + for (int i=0; i<6; ++i) { + EXPECT_EQ(a[i], 5*i); + } +} + +TEST(AffineTest, Nearness) { + Affine a1(1, 0, 1, 2, 1e-8, 1e-8); + Affine a2(1+1e-8, 0, 1, 2-1e-8, -1e-8, -1e-8); + EXPECT_TRUE(are_near(a1, a2, 1e-7)); + EXPECT_FALSE(are_near(a1, a2, 1e-9)); +} + +TEST(AffineTest, Multiplication) { + // test whether noncommutative multiplications work correctly + Affine a1 = Scale(0.1), a2 = Translate(10, 10), a3 = Scale(10.0); + Affine t1 = Translate(1, 1), t100 = Translate(100, 100); + EXPECT_EQ(a1 * a2 * a3, t100); + EXPECT_EQ(a3 * a2 * a1, t1); +} + +} // end namespace Geom + +/* + Local Variables: + mode:c++ + c-file-style:"stroustrup" + c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +)) + indent-tabs-mode:nil + fill-column:99 + End: +*/ +// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 : |