154 lines
5.0 KiB
C++
154 lines
5.0 KiB
C++
/*!
|
|
* 04_transformations.cpp
|
|
*
|
|
* Copyright (c) 2015-2024, NADAL Jean-Baptiste. All rights reserved.
|
|
*
|
|
* This library is free software; you can redistribute it and/or
|
|
* modify it under the terms of the GNU Lesser General Public
|
|
* License as published by the Free Software Foundation; either
|
|
* version 2.1 of the License, or (at your option) any later version.
|
|
*
|
|
* This library 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
|
|
* Lesser General Public License for more details.
|
|
*
|
|
* You should have received a copy of the GNU Lesser General Public
|
|
* License along with this library; if not, write to the Free Software
|
|
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
|
|
* MA 02110-1301 USA
|
|
*
|
|
* @Author: NADAL Jean-Baptiste
|
|
* @Date: 05/02/2024
|
|
*
|
|
*/
|
|
|
|
/*---------------------------------------------------------------------------*/
|
|
|
|
#include <catch.hpp>
|
|
|
|
#include "raytracing.h"
|
|
|
|
using namespace Raytracer;
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] Multiplying by a translation matrix", "[Matrix]")
|
|
{
|
|
Matrix transform = Matrix::translation(5, -3, 2);
|
|
Tuple p = Tuple::Point(-3, 4, 5);
|
|
|
|
REQUIRE(transform * p == Tuple::Point(2, 1, 7));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] Multiplying by the inverse of a translation matrix", "[Matrix]")
|
|
{
|
|
Matrix transform = Matrix::translation(5, -3, 2);
|
|
Matrix inv = transform.inverse();
|
|
Tuple p = Tuple::Point(-3, 4, 5);
|
|
|
|
REQUIRE(inv * p == Tuple::Point(-8, 7, 3));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] Translation does not affect vectors", "[Matrix]")
|
|
{
|
|
Matrix transform = Matrix::translation(5, -3, 2);
|
|
Tuple v = Tuple::Vector(-3, 4, 5);
|
|
|
|
REQUIRE(transform * v == v);
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] A scaling matrix applied to a point", "[Matrix]")
|
|
{
|
|
Matrix transform = Matrix::scaling(2, 3, 4);
|
|
Tuple p = Tuple::Point(-4, 6, 8);
|
|
|
|
REQUIRE(transform * p == Tuple::Point(-8, 18, 32));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] A scaling matrix applied to a vector", "[Matrix]")
|
|
{
|
|
Matrix transform = Matrix::scaling(2, 3, 4);
|
|
Tuple v = Tuple::Vector(-4, 6, 8);
|
|
|
|
REQUIRE(transform * v == Tuple::Vector(-8, 18, 32));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] Multiplying by the inverse of a scaling matrix", "[Matrix]")
|
|
{
|
|
Matrix transform = Matrix::scaling(2, 3, 4);
|
|
Matrix inv = transform.inverse();
|
|
Tuple v = Tuple::Vector(-4, 6, 8);
|
|
|
|
REQUIRE(inv * v == Tuple::Vector(-2, 2, 2));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] Reflection is scaling by a negative value", "[Matrix]")
|
|
{
|
|
Matrix transform = Matrix::scaling(-1, 1, 1);
|
|
Tuple p = Tuple::Point(2, 3, 4);
|
|
|
|
REQUIRE(transform * p == Tuple::Point(-2, 3, 4));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] Rotating a point around the x axis", "[Matrix]")
|
|
{
|
|
Tuple p = Tuple::Point(0, 1, 0);
|
|
Matrix half_quarter = Matrix::rotation_x(std::numbers::pi / 4);
|
|
Matrix full_quarter = Matrix::rotation_x(std::numbers::pi / 2);
|
|
|
|
REQUIRE(half_quarter * p == Tuple::Point(0, sqrt(2) / 2, sqrt(2) / 2));
|
|
REQUIRE(full_quarter * p == Tuple::Point(0, 0, 1));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] The inverse of an x-rotation rotates in the opposite direction", "[Matrix]")
|
|
{
|
|
Tuple p = Tuple::Point(0, 1, 0);
|
|
Matrix half_quarter = Matrix::rotation_x(std::numbers::pi / 4);
|
|
Matrix inv = half_quarter.inverse();
|
|
|
|
REQUIRE(inv * p == Tuple::Point(0, sqrt(2) / 2, -sqrt(2) / 2));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] Rotating a point around the y axis", "[Matrix]")
|
|
{
|
|
Tuple p = Tuple::Point(0, 0, 1);
|
|
Matrix half_quarter = Matrix::rotation_y(std::numbers::pi / 4);
|
|
Matrix full_quarter = Matrix::rotation_y(std::numbers::pi / 2);
|
|
|
|
REQUIRE(half_quarter * p == Tuple::Point(sqrt(2) / 2, 0, sqrt(2) / 2));
|
|
REQUIRE(full_quarter * p == Tuple::Point(1, 0, 0));
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
TEST_CASE("[04][Trans] Rotating a point around the z axis", "[Matrix]")
|
|
{
|
|
Tuple p = Tuple::Point(0, 1, 0);
|
|
Matrix half_quarter = Matrix::rotation_z(std::numbers::pi / 4);
|
|
Matrix full_quarter = Matrix::rotation_z(std::numbers::pi / 2);
|
|
|
|
Tuple z = half_quarter * p;
|
|
|
|
REQUIRE(half_quarter * p == Tuple::Point(-sqrt(2) / 2, sqrt(2) / 2, 0));
|
|
REQUIRE(full_quarter * p == Tuple::Point(-1, 0, 0));
|
|
}
|