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magnum/src/Magnum/Math/Test/FrustumTest.cpp

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/*
This file is part of Magnum.
Copyright © 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019,
2020, 2021 Vladimír Vondruš <mosra@centrum.cz>
Copyright © 2016, 2020 Jonathan Hale <squareys@googlemail.com>
Permission is hereby granted, free of charge, to any person obtaining a
copy of this software and associated documentation files (the "Software"),
to deal in the Software without restriction, including without limitation
the rights to use, copy, modify, merge, publish, distribute, sublicense,
and/or sell copies of the Software, and to permit persons to whom the
Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included
in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.
*/
#include <sstream>
#include <Corrade/Containers/ArrayView.h>
#include <Corrade/TestSuite/Tester.h>
#include <Corrade/TestSuite/Compare/Container.h>
#include <Corrade/Utility/DebugStl.h>
#include "Magnum/Math/Frustum.h"
#include "Magnum/Math/StrictWeakOrdering.h"
struct Frstm {
float data[24];
};
namespace Magnum { namespace Math {
namespace Implementation {
template<> struct FrustumConverter<Float, Frstm> {
constexpr static Frustum<Float> from(const Frstm& other) {
return {{other.data[ 0 + 0], other.data[ 0 + 1], other.data[ 0 + 2], other.data[ 0 + 3]},
{other.data[ 4 + 0], other.data[ 4 + 1], other.data[ 4 + 2], other.data[ 4 + 3]},
{other.data[ 8 + 0], other.data[ 8 + 1], other.data[ 8 + 2], other.data[ 8 + 3]},
{other.data[12 + 0], other.data[12 + 1], other.data[12 + 2], other.data[12 + 3]},
{other.data[16 + 0], other.data[16 + 1], other.data[16 + 2], other.data[16 + 3]},
{other.data[20 + 0], other.data[20 + 1], other.data[20 + 2], other.data[20 + 3]}};
}
constexpr static Frstm to(const Frustum<Float>& other) {
return {{other[0][0], other[0][1], other[0][2], other[0][3],
other[1][0], other[1][1], other[1][2], other[1][3],
other[2][0], other[2][1], other[2][2], other[2][3],
other[3][0], other[3][1], other[3][2], other[3][3],
other[4][0], other[4][1], other[4][2], other[4][3],
other[5][0], other[5][1], other[5][2], other[5][3]}};
}
};
}
namespace Test { namespace {
struct FrustumTest: Corrade::TestSuite::Tester {
explicit FrustumTest();
void construct();
void constructIdentity();
void constructNoInit();
void constructConversion();
void constructCopy();
void constructFromMatrix();
void convert();
void data();
void rangeFor();
void compare();
void strictWeakOrdering();
void debug();
};
typedef Math::Vector4<Float> Vector4;
typedef Math::Matrix4<Float> Matrix4;
typedef Math::Frustum<Float> Frustum;
typedef Math::Frustum<Double> Frustumd;
FrustumTest::FrustumTest() {
addTests({&FrustumTest::construct,
&FrustumTest::constructIdentity,
&FrustumTest::constructNoInit,
&FrustumTest::constructConversion,
&FrustumTest::constructCopy,
&FrustumTest::constructFromMatrix,
&FrustumTest::convert,
&FrustumTest::data,
&FrustumTest::rangeFor,
&FrustumTest::compare,
&FrustumTest::strictWeakOrdering,
&FrustumTest::debug});
}
void FrustumTest::construct() {
constexpr Vector4 planes[6]{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, 8.0f, 9.0f, 0.6f}};
Frustum a = {
planes[0], planes[1],
planes[2], planes[3],
planes[4], planes[5]};
constexpr Frustum ca = {
planes[0], planes[1],
planes[2], planes[3],
planes[4], planes[5]};
constexpr Vector4 c3 = ca[3];
CORRADE_COMPARE(c3, planes[3]);
CORRADE_COMPARE(a[3], planes[3]);
constexpr Vector4 cleft = ca.left();
CORRADE_COMPARE(a.left(), planes[0]);
CORRADE_COMPARE(cleft, planes[0]);
constexpr Vector4 cright = ca.right();
CORRADE_COMPARE(a.right(), planes[1]);
CORRADE_COMPARE(cright, planes[1]);
constexpr Vector4 cbottom = ca.bottom();
CORRADE_COMPARE(a.bottom(), planes[2]);
CORRADE_COMPARE(cbottom, planes[2]);
constexpr Vector4 ctop = ca.top();
CORRADE_COMPARE(a.top(), planes[3]);
CORRADE_COMPARE(ctop, planes[3]);
constexpr Vector4 cnear = ca.near();
CORRADE_COMPARE(a.near(), planes[4]);
CORRADE_COMPARE(cnear, planes[4]);
constexpr Vector4 cfar = ca.far();
CORRADE_COMPARE(cfar, planes[5]);
CORRADE_COMPARE(a.far(), planes[5]);
CORRADE_VERIFY(std::is_nothrow_constructible<Frustum, Vector4, Vector4, Vector4, Vector4, Vector4, Vector4>::value);
}
void FrustumTest::constructIdentity() {
Frustum expected{
{ 1.0f, 0.0f, 0.0f, 1.0f},
{-1.0f, 0.0f, 0.0f, 1.0f},
{ 0.0f, 1.0f, 0.0f, 1.0f},
{ 0.0f, -1.0f, 0.0f, 1.0f},
{ 0.0f, 0.0f, 1.0f, 1.0f},
{ 0.0f, 0.0f, -1.0f, 1.0f}};
constexpr Frustum a;
constexpr Frustum b{IdentityInit};
CORRADE_COMPARE(a, expected);
CORRADE_COMPARE(b, expected);
CORRADE_VERIFY(std::is_nothrow_default_constructible<Frustum>::value);
CORRADE_VERIFY(std::is_nothrow_constructible<Frustum, IdentityInitT>::value);
/* Implicit construction is not allowed */
CORRADE_VERIFY(!std::is_convertible<IdentityInitT, Frustum>::value);
}
void FrustumTest::constructNoInit() {
Frustum a{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, 8.0f, 9.0f, 0.6f}};
new(&a) Frustum{Magnum::NoInit};
{
#if defined(__GNUC__) && __GNUC__*100 + __GNUC_MINOR__ >= 601 && __OPTIMIZE__
CORRADE_EXPECT_FAIL("GCC 6.1+ misoptimizes and overwrites the value.");
#endif
CORRADE_COMPARE(a, (Frustum{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, 8.0f, 9.0f, 0.6f}}));
}
/* Implicit construction is not allowed */
CORRADE_VERIFY(std::is_nothrow_constructible<Frustum, Magnum::NoInitT>::value);
}
void FrustumTest::constructConversion() {
constexpr Frustumd a{
{-1.0, 2.0, -3.0, 0.1},
{ 1.0, -2.0, 3.0, 0.2},
{-4.0, 5.0, -6.0, 0.3},
{ 4.0, -5.0, 6.0, 0.4},
{-7.0, 8.0, -9.0, 0.5},
{ 7.0, 8.0, 9.0, 0.6}};
Frustum expected{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, 8.0f, 9.0f, 0.6f}};
constexpr Frustum b{a};
CORRADE_COMPARE(b, expected);
/* Implicit conversion is not allowed */
CORRADE_VERIFY(!std::is_convertible<Frustum, Frustumd>::value);
CORRADE_VERIFY(std::is_nothrow_constructible<Frustum, Frustumd>::value);
}
void FrustumTest::constructCopy() {
constexpr Frustum a{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, 8.0f, 9.0f, 0.6f}};
constexpr Frustum b{a};
CORRADE_COMPARE(b, a);
CORRADE_VERIFY(std::is_nothrow_copy_constructible<Frustum>::value);
CORRADE_VERIFY(std::is_nothrow_copy_assignable<Frustum>::value);
}
void FrustumTest::constructFromMatrix() {
using namespace Magnum::Math::Literals;
Frustum expected{
{ 1.0f, 0.0f, -1.0f, 0.0f},
{-1.0f, 0.0f, -1.0f, 0.0f},
{ 0.0f, 1.0f, -1.0f, 0.0f},
{ 0.0f, -1.0f, -1.0f, 0.0f},
{ 0.0f, 0.0f, -2.22222f, -2.22222f},
{ 0.0f, 0.0f, 0.22222f, 2.22222f}};
const Frustum frustum = Frustum::fromMatrix(
Matrix4::perspectiveProjection(90.0_degf, 1.0f, 1.0f, 10.0f));
CORRADE_COMPARE(frustum, expected);
/* Constructing from a default-constructed matrix should be equivalent to
default constructor */
CORRADE_COMPARE(Frustum::fromMatrix({}), Frustum{});
}
void FrustumTest::convert() {
constexpr Frstm a{{
-1.0f, 2.0f, -3.0f, 0.1f,
1.0f, -2.0f, 3.0f, 0.2f,
-4.0f, 5.0f, -6.0f, 0.3f,
4.0f, -5.0f, 6.0f, 0.4f,
-7.0f, 8.0f, -9.0f, 0.5f,
7.0f, 8.0f, 9.0f, 0.6f}};
constexpr Frustum b{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, 8.0f, 9.0f, 0.6f}};
constexpr Frustum c{a};
CORRADE_COMPARE(c, b);
constexpr Frstm d(b);
CORRADE_COMPARE_AS(Corrade::Containers::arrayView(d.data),
Corrade::Containers::arrayView(a.data),
Corrade::TestSuite::Compare::Container);
/* Implicit conversion is not allowed */
CORRADE_VERIFY(!std::is_convertible<Frstm, Frustum>::value);
CORRADE_VERIFY(!std::is_convertible<Frustum, Frstm>::value);
}
void FrustumTest::data() {
#ifdef CORRADE_NO_ASSERT
CORRADE_SKIP("CORRADE_NO_ASSERT defined, can't test assertions");
#endif
/* Using default-constructed to verify that the planes are in correct order */
constexpr Frustum a;
#if !defined(__GNUC__) || __GNUC__*100 + __GNUC_MINOR__ >= 500
constexpr
#endif
Vector4 right = a.cbegin()[1];
CORRADE_COMPARE(right, (Vector4{-1.0f, 0.0f, 0.0f, 1.0f}));
constexpr Vector4 bottom = a[2];
CORRADE_COMPARE(bottom, (Vector4{0.0f, 1.0f, 0.0f, 1.0f}));
constexpr Vector4 near = a.near();
CORRADE_COMPARE(near, (Vector4{0.0f, 0.0f, 1.0f, 1.0f}));
#if !defined(CORRADE_MSVC2015_COMPATIBILITY) && (!defined(__GNUC__) || __GNUC__*100 + __GNUC_MINOR__ >= 500)
constexpr
#endif
Vector4 far = *(a.cend() - 1);
CORRADE_COMPARE(far, (Vector4{0.0f, 0.0f, -1.0f, 1.0f}));
#ifndef CORRADE_MSVC2015_COMPATIBILITY /* Apparently dereferencing pointer is verboten */
constexpr
#endif
Float b = *a.data();
CORRADE_COMPARE(b, 1.0f);
std::ostringstream out;
Error redirectError{&out};
a[6];
CORRADE_COMPARE(out.str(), "Math::Frustum::operator[](): index 6 out of range\n");
}
void FrustumTest::rangeFor() {
Frustum a;
Vector4 sum{3.0f};
Int i = 0;
for(const Vector4& plane: a) {
++i;
sum *= plane;
}
CORRADE_COMPARE(i, 6);
CORRADE_COMPARE(sum, (Vector4{0.0f, 0.0f, 0.0f, 3.0f}));
}
void FrustumTest::compare() {
Frustum a{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, 8.0f, 9.0f, 0.6f}};
Frustum b{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f + Math::TypeTraits<Float>::epsilon()/2.0f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, 8.0f, 9.0f, 0.6f}};
Frustum c{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f + Math::TypeTraits<Float>::epsilon()*2.0f},
{ 7.0f, 8.0f, 9.0f, 0.6f}};
CORRADE_VERIFY(a == a);
CORRADE_VERIFY(a == b);
CORRADE_VERIFY(a != c);
}
void FrustumTest::strictWeakOrdering() {
StrictWeakOrdering o;
const Frustum a{
{1.0f, 1.0f, 2.0f, 2.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{3.0f, 1.0f, 2.0f, 4.0f}};
const Frustum b{
{2.0f, 1.0f, 2.0f, 3.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{4.0f, 1.0f, 2.0f, 5.0f}};
const Frustum c{
{1.0f, 1.0f, 2.0f, 2.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{5.0f, 5.0f, 6.0f, 5.0f},
{3.0f, 1.0f, 2.0f, 5.0f}};
CORRADE_VERIFY( o(a, b));
CORRADE_VERIFY(!o(b, a));
CORRADE_VERIFY( o(a, c));
CORRADE_VERIFY(!o(c, a));
CORRADE_VERIFY( o(c, b));
CORRADE_VERIFY(!o(b, c));
CORRADE_VERIFY(!o(a, a));
}
void FrustumTest::debug() {
Frustum frustum{
{-1.0f, 2.0f, -3.0f, 0.1f},
{ 1.0f, -2.0f, 3.0f, 0.2f},
{-4.0f, 5.0f, -6.0f, 0.3f},
{ 4.0f, -5.0f, 6.0f, 0.4f},
{-7.0f, 8.0f, -9.0f, 0.5f},
{ 7.0f, -8.0f, 9.0f, 0.6f}};
std::ostringstream out;
Debug{&out} << frustum;
CORRADE_COMPARE(out.str(), "Frustum({-1, 2, -3, 0.1},\n"
" {1, -2, 3, 0.2},\n"
" {-4, 5, -6, 0.3},\n"
" {4, -5, 6, 0.4},\n"
" {-7, 8, -9, 0.5},\n"
" {7, -8, 9, 0.6})\n");
}
}}}}
CORRADE_TEST_MAIN(Magnum::Math::Test::FrustumTest)