848 lines
34 KiB
C++
848 lines
34 KiB
C++
/*!
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* 11_reflection_refraction.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: 05/03/2024
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*
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*/
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/*---------------------------------------------------------------------------*/
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#include <cmath>
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#include <catch2/catch_test_macros.hpp>
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#include "raytracing.h"
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using namespace Raytracer;
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/* ------------------------------------------------------------------------- */
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class TestPattern : public Pattern
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{
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public:
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TestPattern(void) = default;
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const Color pattern_at(const Tuple &a_point) const override
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{
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return Color(a_point.x(), a_point.y(), a_point.z());
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}
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};
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/* ------------------------------------------------------------------------- */
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SCENARIO("Reflectivity for the default material", "[features/materials.feature]")
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{
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GIVEN("m <- material()")
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{
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Material m;
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THEN("m.reflective = 0.0")
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{
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REQUIRE(m.reflective() == 0);
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("Precomputing the reflection vector", "[features/intersections.feature]")
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{
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GIVEN("shape <- plane()")
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{
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Plane shape;
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AND_GIVEN("r <- ray(point(0, 1, -1), vector(0, -sqrt(2)/2, sqrt(2)/2))")
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{
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Ray r(Tuple::Point(0, 1, -1), Tuple::Vector(0, -sqrt(2) / 2, sqrt(2) / 2));
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AND_GIVEN("i <- intersection(sqrt(2), shape)")
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{
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Intersection i(sqrt(2), &shape);
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WHEN("comps <- prepare_computation(i, r)")
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{
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IntersectionData comps = i.prepare_computations(r);
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THEN("comps.reflectv = vector(0, sqrt(2) / 2, sqrt(2) / 2)")
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{
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REQUIRE(comps.reflectv() == Tuple::Vector(0, sqrt(2) / 2, sqrt(2) / 2));
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}
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}
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}
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("The reflected color for a non reflective material", "[features/world.feature]")
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{
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GIVEN("w <- default_world()")
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{
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World w = World::default_world();
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AND_GIVEN("ray(point(0, 0, 0), vector(0, 0, 1)")
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{
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Ray r(Tuple::Point(0, 0, 0), Tuple::Vector(0, 0, 1));
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AND_GIVEN("shape <-the second object in w")
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{
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Shape *shape = w.objects(1);
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AND_GIVEN("shape.material.ambient <- 1")
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{
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shape->material().set_ambient(1);
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AND_GIVEN("i <- intersection(1, shape)")
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{
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Intersection i(1, shape);
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WHEN("comps <- prepare_computation(i, r)")
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{
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IntersectionData comps = i.prepare_computations(r);
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AND_WHEN("color <- reflected_color(w, comps)")
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{
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Color color = w.reflected_color(comps);
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THEN("color = color(0, 0, 0)")
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{
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REQUIRE(color == Color(0, 0, 0));
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}
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}
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}
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}
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}
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}
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("The reflected color for a reflective material", "[features/world.feature]")
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{
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GIVEN("w <- default_world()")
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{
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World w = World::default_world();
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AND_GIVEN("shape <- plane() with:")
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// | material.reflective | 0.5 |
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// | transform | translation(0, -1, 0) |
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{
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Plane shape;
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shape.material().set_reflective(0.5);
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shape.set_transform(Matrix::translation(0, -1, 0));
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AND_GIVEN("shape is added to w")
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{
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w.add_object(&shape);
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AND_GIVEN("ray(point(0, 0, -3), vector(0, -sqrt(2) / 2, sqrt(2) / 2)")
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{
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Ray r(Tuple::Point(0, 0, -3), Tuple::Vector(0, -sqrt(2) / 2, sqrt(2) / 2));
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AND_GIVEN("i <- intersection(sqrt(2), shape)")
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{
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Intersection i(sqrt(2), &shape);
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WHEN("comps <- prepare_computation(i, r)")
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{
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IntersectionData comps = i.prepare_computations(r);
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AND_WHEN("color <- reflected_color(w, comps)")
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{
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Color color = w.reflected_color(comps);
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THEN("color = color(0.19032, 0.2379, 0.14274)")
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{
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REQUIRE(color == Color(0.19032, 0.2379, 0.14274));
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}
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}
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}
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}
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}
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}
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("shade_it() with a reflective material", "[features/world.feature]")
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{
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GIVEN("w <- default_world()")
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{
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World w = World::default_world();
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AND_GIVEN("shape <- plane() with:")
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// | material.reflective | 0.5 |
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// | transform | translation(0, -1, 0) |
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{
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Plane shape;
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shape.material().set_reflective(0.5);
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shape.set_transform(Matrix::translation(0, -1, 0));
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AND_GIVEN("shape is added to w")
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{
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w.add_object(&shape);
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AND_GIVEN("ray(point(0, 0, -3), vector(0, -sqrt(2) / 2, sqrt(2) / 2)")
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{
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Ray r(Tuple::Point(0, 0, -3), Tuple::Vector(0, -sqrt(2) / 2, sqrt(2) / 2));
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AND_GIVEN("i <- intersection(sqrt(2), shape)")
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{
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Intersection i(sqrt(2), &shape);
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WHEN("comps <- prepare_computation(i, r)")
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{
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IntersectionData comps = i.prepare_computations(r);
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AND_WHEN("color <- shade_hit(w, comps)")
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{
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Color color = w.shade_hit(comps);
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THEN("color = color(0.87677, 0.92436, 0.82918)")
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{
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REQUIRE(color == Color(0.87677, 0.92436, 0.82918));
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}
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}
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}
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}
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}
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}
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("color_at() with mutually reflective surfaces", "[features/world.feature]")
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{
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GIVEN("w <- default_world()")
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{
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World w = World::default_world();
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AND_GIVEN("w.light <- point_light(point(0, 0, 0), color(1, 1, 1))")
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{
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w.set_light(PointLight(Tuple::Point(0, 0, 0), Color(1, 1, 1)));
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AND_GIVEN("lower <- plane() with:")
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// | material.reflective | 1 |
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// | transform | translation(0, -1, 0) |
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{
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Plane lower;
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lower.material().set_reflective(1);
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lower.set_transform(Matrix::translation(0, -1, 0));
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AND_GIVEN("lower is added to w")
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{
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w.add_object(&lower);
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AND_GIVEN("upper <- plane() with:")
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// | material.reflective | 1 |
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// | transform | translation(0, 1, 0) |
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{
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Plane upper;
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upper.material().set_reflective(1);
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upper.set_transform(Matrix::translation(0, 1, 0));
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AND_GIVEN("upper is added to w")
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{
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w.add_object(&upper);
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AND_GIVEN("ray(point(0, 0, 0), vector(0, 1, 0)")
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{
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Ray r(Tuple::Point(0, 0, 0), Tuple::Vector(0, 1, 0));
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THEN("color_at(w, r) terminate successfully")
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{
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w.color_at(r);
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}
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}
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}
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}
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}
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}
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("The reflected color at the maximum recursive depth", "[features/world.feature]")
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{
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GIVEN("w <- default_world()")
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{
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World w = World::default_world();
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AND_GIVEN("shape <- plane() with:")
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// | material.reflective | 0.5 |
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// | transform | translation(0, -1, 0) |
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{
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Plane shape;
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shape.material().set_reflective(0.5);
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shape.set_transform(Matrix::translation(0, -1, 0));
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AND_GIVEN("shape is added to w")
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{
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w.add_object(&shape);
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AND_GIVEN("r <- ray(point(0, 0, -3), vector(0, -sqrt(2) / 2, sqrt(2) / 2)")
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{
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Ray r(Tuple::Point(0, 0, -3), Tuple::Vector(0, -sqrt(2) / 2, sqrt(2) / 2));
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AND_GIVEN("i <- intersection(sqrt(2), shape)")
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{
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Intersection i(sqrt(2), &shape);
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WHEN("comps <- prepare_computation(i, r)")
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{
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IntersectionData comps = i.prepare_computations(r);
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AND_WHEN("color <- reflected_color(w, comps, 0)")
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{
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Color color = w.reflected_color(comps, 0);
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THEN("color = color(0.19032, 0.2379, 0.14274)")
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{
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REQUIRE(color == Color(0, 0, 0));
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}
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}
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}
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}
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}
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}
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("Transparency and Refractive Index for the default material", "[features/materials.feature]")
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{
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GIVEN("m <- material()")
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{
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Material m;
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THEN("m.transparency = 0.0")
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{
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REQUIRE(m.transparency() == 0.0);
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}
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AND_THEN("m.refractive_index = 1.0")
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{
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REQUIRE(m.refractive_index() == 1.0);
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("A helper for producing a sphere with a glassy material", "[features/spheres.feature]")
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{
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GIVEN("s <- glass_sphere()")
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{
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Sphere s = Sphere::Glass();
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THEN("s.transform = identity_matrix")
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{
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REQUIRE(s.transform() == Matrix::identity());
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}
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AND_THEN("s.material.transparency = 1.0")
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{
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REQUIRE(s.material().transparency() == 1.0);
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}
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AND_THEN("s.material.refractive_index = 1.5")
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{
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REQUIRE(s.material().refractive_index() == 1.5);
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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struct TestData
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{
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double n1;
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double n2;
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};
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/* ------------------------------------------------------------------------- */
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SCENARIO("Finding n1 and n2 at various intersections", "[features/intersections.feature]")
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{
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GIVEN("A <- glass_sphere() with:")
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// | transform | scaling(2, 2, 2) |
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// | material.refractive_index | 1.5 |
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{
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Sphere A = Sphere::Glass();
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A.set_transform(Matrix::scaling(2, 2, 2));
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A.material().set_refractive_index(1.5);
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GIVEN("B <- glass_sphere() with:")
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// | transform | translation(0, 0, -0.25) |
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// | material.refractive_index | 2.0 |
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{
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Sphere B = Sphere::Glass();
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B.set_transform(Matrix::translation(0, 0, -0.25));
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B.material().set_refractive_index(2.0);
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GIVEN("C <- glass_sphere() with:")
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// | transform | translation(0, 0, 0.25) |
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// | material.refractive_index | 2.5 |
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{
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Sphere C = Sphere::Glass();
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C.set_transform(Matrix::translation(0, 0, 0.25));
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C.material().set_refractive_index(2.5);
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AND_GIVEN("r <- ray(point(0, 0, -4), vector(0, 0, 1)")
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{
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Ray r(Tuple::Point(0, 0, -4), Tuple::Vector(0, 0, 1));
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AND_GIVEN("xs <- intersections(2:A, 2.75:B, 3.25:C, 4.75:B, 5.25:C, 6:A)")
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{
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// Examples:
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// | index | n1 | n2 |
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// | 0 |1.0 |1.5 |
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// | 1 |1.5 |2.0 |
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// | 2 |2.0 |2.5 |
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// | 3 |2.5 |2.5 |
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// | 4 |2.5 |1.5 |
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// | 5 |1.5 |1.0 |
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TestData the_ns[6] = {
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{1.0, 1.5},
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{1.5, 2.0},
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{2.0, 2.5},
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{2.5, 2.5},
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{2.5, 1.5},
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{1.5, 1.0}
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};
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Intersections xs = Intersections({Intersection(2.0, &A),
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Intersection(2.75, &B),
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Intersection(3.25, &C),
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Intersection(4.75, &B),
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Intersection(5.25, &C),
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Intersection(6.0, &A)});
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WHEN("comps <- prepare_computations(xs[index], r, xs)")
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{
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for (int i = 0; i < 2; i++)
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{
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IntersectionData comps = xs[i].prepare_computations(r, &xs);
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THEN("comps.n1 = <n1>")
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{
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REQUIRE(comps.n1() == the_ns[i].n1);
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}
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AND_THEN("comps.n2 = <n2>")
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{
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REQUIRE(comps.n2() == the_ns[i].n2);
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}
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}
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}
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}
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}
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}
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("The under point is offset below the surface", "[features/intersections.feature]")
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{
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GIVEN("r <- ray(point(0, 0, -5), vector(0, 0, 1)")
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{
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Ray r(Tuple::Point(0, 0, -5), Tuple::Vector(0, 0, 1));
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AND_GIVEN("shape <- glass_sphere() with:")
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// | transform | translation(0, 0, 1) |
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{
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Sphere shape = Sphere::Glass();
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shape.set_transform(Matrix::translation(0, 0, 1));
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AND_GIVEN("i <- intersection(5, shape)")
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{
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Intersection i(5, &shape);
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AND_GIVEN("xs <- intersections(i)")
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{
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Intersections xs = Intersections({i});
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WHEN("comps <- prepare_computations(i, r, xs)")
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{
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IntersectionData comps = i.prepare_computations(r, &xs);
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THEN("comps.under_point.z > EPSILON / 2")
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{
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REQUIRE(comps.under_point().z() > kEpsilon / 2);
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}
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AND_THEN("comps.point.z < comps.under_point.z")
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{
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REQUIRE(comps.point().z() < comps.under_point().z());
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}
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}
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}
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}
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("The refracted color with a, opaque surface", "[features/world.feature]")
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{
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GIVEN("w <- default_world()")
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{
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World w = World::default_world();
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AND_GIVEN("shape <- first object of w")
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{
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Shape *shape = w.objects(0);
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AND_GIVEN("r <- ray(point(0, 0, -5), vector(0, 0, 1))")
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{
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Ray r(Tuple::Point(0, 0, -5), Tuple::Vector(0, 0, 1));
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AND_GIVEN("xs <- intersections(4:shape, 6:shape)")
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{
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Intersections xs = Intersections({Intersection(4.0, shape),
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Intersection(6.0, shape)});
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WHEN("comps <- prepare_computations(xs[0], r, xs)")
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{
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IntersectionData comps = xs[0].prepare_computations(r, &xs);
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AND_WHEN("c <- refracted_color(w, comps, 5)")
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{
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Color c = w.refracted_color(comps, 5);
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THEN("c = color(0, 0, 0)")
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{
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REQUIRE(c == Color(0, 0, 0));
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}
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}
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}
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}
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}
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}
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}
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}
|
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|
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/* ------------------------------------------------------------------------- */
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SCENARIO("The refracted color at the maximum recursive depth", "[features/world.feature]")
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{
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GIVEN("w <- default_world()")
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{
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World w = World::default_world();
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AND_GIVEN("shape <- first object of w")
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{
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Shape *shape = w.objects(0);
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AND_GIVEN("shape has:")
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{
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// | material.transparency | 1.0 |
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// | material.refractive_index | 1.5 |
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shape->material().set_transparency(1.0);
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shape->material().set_refractive_index(1.5);
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AND_GIVEN("r <- ray(point(0, 0, -5), vector(0, 0, 1))")
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{
|
|
Ray r(Tuple::Point(0, 0, -5), Tuple::Vector(0, 0, 1));
|
|
AND_GIVEN("xs <- intersections(4:shape, 6:shape)")
|
|
{
|
|
Intersections xs = Intersections({Intersection(4.0, shape),
|
|
Intersection(6.0, shape)});
|
|
WHEN("comps <- prepare_computations(xs[0], r, xs)")
|
|
{
|
|
IntersectionData comps = xs[0].prepare_computations(r, &xs);
|
|
AND_WHEN("c <- refracted_color(w, comps, 0)")
|
|
{
|
|
Color c = w.refracted_color(comps, 0);
|
|
THEN("c = color(0, 0, 0)")
|
|
{
|
|
REQUIRE(c == Color(0, 0, 0));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
SCENARIO("The refracted color under total internal reflection", "[features/world.feature]")
|
|
{
|
|
GIVEN("w <- default_world()")
|
|
{
|
|
World w = World::default_world();
|
|
AND_GIVEN("shape <- first object of w")
|
|
{
|
|
Shape *shape = w.objects(0);
|
|
AND_GIVEN("shape has:")
|
|
{
|
|
// | material.transparency | 1.0 |
|
|
// | material.refractive_index | 1.5 |
|
|
shape->material().set_transparency(1.0);
|
|
shape->material().set_refractive_index(1.5);
|
|
AND_GIVEN("r <- ray(point(0, 0, sqrt(2) / 2), vector(0, 1, 0))")
|
|
{
|
|
Ray r(Tuple::Point(0, 0, sqrt(2) / 2), Tuple::Vector(0, 1, 0));
|
|
AND_GIVEN("xs <- intersections(-(sqrt(2) / 2):shape, sqrt(2) / 2:shape)")
|
|
{
|
|
Intersections xs = Intersections({Intersection(-(sqrt(2) / 2), shape),
|
|
Intersection(sqrt(2) / 2, shape)});
|
|
// NOTE: this time you're inside the sphere, so you need to look at the
|
|
// second intersection, xs[1] and not xs[0]
|
|
WHEN("comps <- prepare_computations(xs[1], r, xs)")
|
|
{
|
|
IntersectionData comps = xs[1].prepare_computations(r, &xs);
|
|
AND_WHEN("c <- refracted_color(w, comps, 5)")
|
|
{
|
|
Color c = w.refracted_color(comps, 5);
|
|
THEN("c = color(0, 0, 0)")
|
|
{
|
|
REQUIRE(c == Color(0, 0, 0));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
SCENARIO("The refracted color with a refracted ray", "[features/world.feature]")
|
|
{
|
|
GIVEN("w <- default_world()")
|
|
{
|
|
World w = World::default_world();
|
|
AND_GIVEN("A <- first object of w")
|
|
{
|
|
Shape *A = w.objects(0);
|
|
AND_GIVEN("A has:")
|
|
{
|
|
// | material.ambient | 1.0 |
|
|
// | material.pattern | test_pattern() |
|
|
A->material().set_ambient(1.0);
|
|
TestPattern the_pattern;
|
|
A->material().set_pattern(&the_pattern);
|
|
AND_GIVEN("B <- second object of w")
|
|
{
|
|
Shape *B = w.objects(1);
|
|
AND_GIVEN("shape has:")
|
|
{
|
|
// | material.transparency | 1.0 |
|
|
// | material.refractive_index | 1.5 |
|
|
B->material().set_transparency(1.0);
|
|
B->material().set_refractive_index(1.5);
|
|
AND_GIVEN("r <- ray(point(0, 0, 0.1, vector(0, 1, 0))")
|
|
{
|
|
Ray r(Tuple::Point(0, 0, 0.1), Tuple::Vector(0, 1, 0));
|
|
AND_GIVEN("xs <- intersections(-0.9899:A, -0.4899:B, 0.4899:B, 0.9899:A)")
|
|
{
|
|
Intersections xs = Intersections({
|
|
Intersection(-0.9899, A),
|
|
Intersection(-0.4899, B),
|
|
Intersection(0.4899, B),
|
|
Intersection(0.9899, A),
|
|
});
|
|
WHEN("comps <- prepare_computations(xs[2], r, xs)")
|
|
{
|
|
IntersectionData comps = xs[2].prepare_computations(r, &xs);
|
|
AND_WHEN("c <- refracted_color(w, comps, 5)")
|
|
{
|
|
Color c = w.refracted_color(comps, 5);
|
|
THEN("c = color(0, 0.99888, 0.04725)")
|
|
{
|
|
REQUIRE(c == Color(0, 0.99888, 0.04725));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
SCENARIO("shade_hit() with a transparent material", "[features/world.feature]")
|
|
{
|
|
GIVEN("w <- default_world()")
|
|
{
|
|
World w = World::default_world();
|
|
AND_GIVEN("floor <- plane() with:")
|
|
{
|
|
// | transform | translation(0, -1, 0) |
|
|
// | material.transparency | 0.5 |
|
|
// | material.refractive_index | 1.5 |
|
|
Plane floor;
|
|
floor.set_transform(Matrix::translation(0, -1, 0));
|
|
floor.material().set_transparency(0.5);
|
|
floor.material().set_refractive_index(1.5);
|
|
AND_GIVEN("floor is added to w")
|
|
{
|
|
w.add_object(&floor);
|
|
AND_GIVEN("ball <- sphere() with:")
|
|
{
|
|
// | material.color | (1, 0, 0) |
|
|
// | material.ambient | 0.5 |
|
|
// | transform | translation(0, -3.5, -0.5) |
|
|
Sphere ball;
|
|
ball.material().set_color(Color(1, 0, 0));
|
|
ball.material().set_ambient(0.5);
|
|
ball.set_transform(Matrix::translation(0, -3.5, -0.5));
|
|
AND_GIVEN("ball is added to w")
|
|
{
|
|
w.add_object(&ball);
|
|
AND_GIVEN("r <- ray(point(0, 0, -3), vector(0, -sqrt(2) / 2, sqrt(2) / 2))")
|
|
{
|
|
Ray r(Tuple::Point(0, 0, -3), Tuple::Vector(0, -sqrt(2) / 2, sqrt(2) / 2));
|
|
AND_GIVEN("xs <- intersections(sqrt(2):floor)")
|
|
{
|
|
Intersections xs = Intersections({Intersection(sqrt(2), &floor)});
|
|
WHEN("comps <- prepare_computations(xs[0], r, xs)")
|
|
{
|
|
IntersectionData comps = xs[0].prepare_computations(r, &xs);
|
|
AND_WHEN("color <- shade_hit(w, comps, 5)")
|
|
{
|
|
Color color = w.shade_hit(comps, 5);
|
|
THEN("color = color(0.93642, 0.68642, 0.68642)")
|
|
{
|
|
REQUIRE(color == Color(0.93642, 0.68642, 0.68642));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
SCENARIO("The Schlick approximation under total internal reflection", "[features/intersections.feature]")
|
|
{
|
|
GIVEN("shape <- glass_sphere()")
|
|
{
|
|
Sphere shape = Sphere::Glass();
|
|
AND_GIVEN("r <- ray(point(0, 0, sqrt(2) / 2)), vector(0, 1, 0)")
|
|
{
|
|
Ray r(Tuple::Point(0, 0, sqrt(2) / 2), Tuple::Vector(0, 1, 0));
|
|
AND_GIVEN("xs <- intersections(-sqrt(2) / 2):shape, sqrt(2) / 2):shape)")
|
|
{
|
|
Intersections xs = Intersections({Intersection(-sqrt(2) / 2, &shape),
|
|
Intersection(sqrt(2) / 2, &shape)});
|
|
WHEN("comps <- prepare_computations(xs[1], r, xs)")
|
|
{
|
|
IntersectionData comps = xs[1].prepare_computations(r, &xs);
|
|
AND_WHEN("reflectance <- schlick(comps)")
|
|
{
|
|
double reflectance = comps.schlick();
|
|
THEN("reflectance = 1.0")
|
|
{
|
|
REQUIRE(reflectance == 1.0);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
SCENARIO("The Schlick approximation with a perpendicular viewing angle", "[features/intersections.feature]")
|
|
{
|
|
GIVEN("shape <- glass_sphere()")
|
|
{
|
|
Sphere shape = Sphere::Glass();
|
|
AND_GIVEN("r <- ray(point(0, 0, 0), vector(0, 1, 0)")
|
|
{
|
|
Ray r(Tuple::Point(0, 0, 0), Tuple::Vector(0, 1, 0));
|
|
AND_GIVEN("xs <- intersections(-1:shape, 1:shape)")
|
|
{
|
|
Intersections xs = Intersections({Intersection(-1, &shape),
|
|
Intersection(1, &shape)});
|
|
WHEN("comps <- prepare_computations(xs[1], r, xs)")
|
|
{
|
|
IntersectionData comps = xs[1].prepare_computations(r, &xs);
|
|
AND_WHEN("reflectance <- schlick(comps)")
|
|
{
|
|
double reflectance = comps.schlick();
|
|
THEN("reflectance = 0.04")
|
|
{
|
|
REQUIRE(double_equal(reflectance, 0.04));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
SCENARIO("The Schlick approximation with a small angle and n2 > n1", "[features/intersections.feature]")
|
|
{
|
|
GIVEN("shape <- glass_sphere()")
|
|
{
|
|
Sphere shape = Sphere::Glass();
|
|
AND_GIVEN("r <- ray(point(0, 0.99, -2), vector(0, 0, 1)")
|
|
{
|
|
Ray r(Tuple::Point(0, 0.99, -2), Tuple::Vector(0, 0, 1));
|
|
AND_GIVEN("xs <- intersections(1.8589:shape)")
|
|
{
|
|
Intersections xs = Intersections({Intersection(1.8589, &shape)});
|
|
WHEN("comps <- prepare_computations(xs[0], r, xs)")
|
|
{
|
|
IntersectionData comps = xs[0].prepare_computations(r, &xs);
|
|
AND_WHEN("reflectance <- schlick(comps)")
|
|
{
|
|
double reflectance = comps.schlick();
|
|
THEN("reflectance = 0.48873")
|
|
{
|
|
REQUIRE(double_equal(reflectance, 0.48873));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/* ------------------------------------------------------------------------- */
|
|
|
|
SCENARIO("shade_hit() with a reflective, transparent material", "[features/world.feature]")
|
|
{
|
|
GIVEN("w <- default_world()")
|
|
{
|
|
World w = World::default_world();
|
|
AND_GIVEN("r <- ray(point(0, 0, -3), vector(0, -sqrt(2) / 2, sqrt(2) / 2))")
|
|
{
|
|
Ray r(Tuple::Point(0, 0, -3), Tuple::Vector(0, -sqrt(2) / 2, sqrt(2) / 2));
|
|
AND_GIVEN("floor <- plane() with:")
|
|
{
|
|
// | transform | translation(0, -1, 0) |
|
|
// | material.reflective | 0.5 |
|
|
// | material.transparency | 0.5 |
|
|
// | material.refractive_index | 1.5 |
|
|
Plane floor;
|
|
floor.set_transform(Matrix::translation(0, -1, 0));
|
|
floor.material().set_reflective(0.5);
|
|
floor.material().set_transparency(0.5);
|
|
floor.material().set_refractive_index(1.5);
|
|
AND_GIVEN("floor is added to w")
|
|
{
|
|
w.add_object(&floor);
|
|
AND_GIVEN("ball <- sphere() with:")
|
|
{
|
|
// | material.color | (1, 0, 0) |
|
|
// | material.ambient | 0.5 |
|
|
// | transform | translation(0, -3.5, -0.5) |
|
|
Sphere ball;
|
|
ball.material().set_color(Color(1, 0, 0));
|
|
ball.material().set_ambient(0.5);
|
|
ball.set_transform(Matrix::translation(0, -3.5, -0.5));
|
|
AND_GIVEN("ball is added to w")
|
|
{
|
|
w.add_object(&ball);
|
|
AND_GIVEN("xs <- intersections(sqrt(2):floor)")
|
|
{
|
|
Intersections xs = Intersections({Intersection(sqrt(2), &floor)});
|
|
WHEN("comps <- prepare_computations(xs[0], r, xs)")
|
|
{
|
|
IntersectionData comps = xs[0].prepare_computations(r, &xs);
|
|
AND_WHEN("color <- shade_hit(w, comps, 5)")
|
|
{
|
|
Color color = w.shade_hit(comps, 5);
|
|
THEN("color = color(0.93391, 0.69643, 0.69243)")
|
|
{
|
|
REQUIRE(color == Color(0.93391, 0.69643, 0.69243));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|