313 lines
8.2 KiB
C++
313 lines
8.2 KiB
C++
/*!
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* 01_tuples.cpp
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*
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* Copyright (c) 2015-2024, NADAL Jean-Baptiste. All rights reserved.
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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* MA 02110-1301 USA
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*
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* @Author: NADAL Jean-Baptiste
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* @Date: 29/01/2024
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*
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*/
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/*---------------------------------------------------------------------------*/
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#include <cmath>
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#include <catch.hpp>
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#include "tuple.h"
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using namespace Raytracer;
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] a tuple with w=1.0 is a point", "[Tuple]")
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{
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Tuple a(4.3, -4.2, 3.1, 1.0);
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REQUIRE(a.x() == 4.3);
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REQUIRE(a.y() == -4.2);
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REQUIRE(a.z() == 3.1);
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REQUIRE(a.w() == 1.0);
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REQUIRE(a.is_point() == true);
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REQUIRE(a.is_vector() == false);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] a tuple with w=0 is a vector", "[Tuple]")
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{
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Tuple a(4.3, -4.2, 3.1, 0.0);
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REQUIRE(a.x() == 4.3);
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REQUIRE(a.y() == -4.2);
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REQUIRE(a.z() == 3.1);
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REQUIRE(a.w() == 0.0);
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REQUIRE(a.is_point() == false);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Tuple could be copy", "[Tuple]")
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{
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Tuple p = Tuple::Point(4, -4, 3);
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Tuple n;
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n = p;
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REQUIRE(n == p);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Point() creates tuples with w=1", "[Tuple][Point]")
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{
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Tuple p = Tuple::Point(4, -4, 3);
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REQUIRE(p == Tuple(4, -4, 3, 1));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Vector() creates tuples with w=0", "[Tuple][Vector]")
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{
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Tuple v = Tuple::Vector(4, -4, 3);
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REQUIRE(v == Tuple(4, -4, 3, 0));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Adding two tuples", "[Tuple][Operations]")
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{
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Tuple a1(3, -2, 5, 1);
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Tuple a2(-2, 3, 1, 0);
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REQUIRE((a1 + a2) == Tuple(1, 1, 6, 1));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Adding two tuples without modify a1", "[Tuple][Operations]")
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{
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Tuple a1(3, -2, 5, 1);
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Tuple a2(-2, 3, 1, 0);
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Tuple a3 = a1 + a2;
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REQUIRE((a1 + a2) == Tuple(1, 1, 6, 1));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Subtracting two points", "[Tuple][Operations]")
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{
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Tuple p1 = Tuple::Point(3, 2, 1);
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Tuple p2 = Tuple::Point(5, 6, 7);
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REQUIRE((p1 - p2) == Tuple::Vector(-2, -4, -6));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Subtracting two points without modify p1", "[Tuple][Operations]")
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{
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Tuple p1 = Tuple::Point(3, 2, 1);
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Tuple p2 = Tuple::Point(5, 6, 7);
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Tuple p3 = p1 - p2;
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REQUIRE((p1 - p2) == Tuple::Vector(-2, -4, -6));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Subtracting a vector from a point", "[Tuple][Operations]")
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{
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Tuple p = Tuple::Point(3, 2, 1);
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Tuple v = Tuple::Vector(5, 6, 7);
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REQUIRE((p - v) == Tuple::Point(-2, -4, -6));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Subtracting two vectors", "[Tuple][Operations]")
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{
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Tuple v1 = Tuple::Vector(3, 2, 1);
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Tuple v2 = Tuple::Vector(5, 6, 7);
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REQUIRE((v1 - v2) == Tuple::Vector(-2, -4, -6));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Subtracting a vector from the zero vector", "[Tuple][Operations]")
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{
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Tuple zero = Tuple::Vector(0, 0, 0);
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Tuple v = Tuple::Vector(1, -2, 3);
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REQUIRE((zero - v) == Tuple::Vector(-1, 2, -3));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Negative a tuple", "[Tuple][Operations]")
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{
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Tuple a(1, -2, 3, -4);
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REQUIRE(-a == Tuple(-1, 2, -3, 4));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Multiplying a tuple by a scalar", "[Tuple][Multiplication]")
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{
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Tuple a(1, -2, 3, -4);
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REQUIRE(a * 3.5 == Tuple(3.5, -7, 10.5, -14));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Multiplying a tuple by a scalar without modify a", "[Tuple][Multiplication]")
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{
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Tuple a(1, -2, 3, -4);
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Tuple b = a * 3.5;
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REQUIRE(a * 3.5 == Tuple(3.5, -7, 10.5, -14));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Dividing a tuple by a scalar", "[Tuple][Multiplication]")
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{
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Tuple a(1, -2, 3, -4);
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REQUIRE(a / 2 == Tuple(0.5, -1, 1.5, -2));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Dividing a tuple by a scalar without modify a", "[Tuple][Multiplication]")
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{
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Tuple a(1, -2, 3, -4);
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Tuple b = a / 2;
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REQUIRE(a / 2 == Tuple(0.5, -1, 1.5, -2));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Computing the magnitude of vector(1,0,0)", "[Tuple][Magnitude]")
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{
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Tuple v = Tuple::Vector(1, 0, 0);
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REQUIRE(v.magnitude() == 1);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Computing the magnitude of vector(0,1,0)", "[Tuple][Magnitude]")
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{
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Tuple v = Tuple::Vector(0, 1, 0);
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REQUIRE(v.magnitude() == 1);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Computing the magnitude of vector(0,0,1)", "[Tuple][Magnitude]")
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{
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Tuple v = Tuple::Vector(0, 0, 1);
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REQUIRE(v.magnitude() == 1);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Computing the magnitude of vector(1,2,3)", "[Tuple][Magnitude]")
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{
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Tuple v = Tuple::Vector(1, 2, 3);
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REQUIRE(v.magnitude() == sqrt(14));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Computing the magnitude of vector(-1,-2,-3)", "[Tuple][Magnitude]")
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{
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Tuple v = Tuple::Vector(-1, -2, -3);
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REQUIRE(v.magnitude() == sqrt(14));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Normalize vector(4,0,0) gives (1,0,0)", "[Tuple][Normalize]")
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{
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Tuple v = Tuple::Vector(4, 0, 0);
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REQUIRE(v.normalize() == Tuple::Vector(1, 0, 0));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] Normalize vector(1,2,3)", "[Tuple][Normalize]")
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{
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Tuple v = Tuple::Vector(1, 2, 3);
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REQUIRE(v.normalize() == Tuple::Vector(1 / sqrtf(14), 2 / sqrtf(14), 3 / sqrtf(14)));
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] The magnitude of a normalized vector", "[Tuple][Normalize]")
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{
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Tuple norm;
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Tuple v = Tuple::Vector(1, 2, 3);
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norm = v.normalize();
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REQUIRE(norm.magnitude() == 1);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] The dot product of two tuples", "[Tuple][Dot]")
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{
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Tuple a = Tuple::Vector(1, 2, 3);
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Tuple b = Tuple::Vector(2, 3, 4);
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REQUIRE(a.dot(b) == 20);
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}
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/* ------------------------------------------------------------------------- */
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TEST_CASE("[Tuple] The cross product of two vector", "[Tuple][Cross]")
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{
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Tuple a = Tuple::Vector(1, 2, 3);
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Tuple b = Tuple::Vector(2, 3, 4);
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REQUIRE(a.cross(b) == Tuple::Vector(-1, 2, -1));
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REQUIRE(b.cross(a) == Tuple::Vector(1, -2, 1));
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}
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