[FEAT] until test3 of schlick implementation
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.vscode/settings.json
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1
.vscode/settings.json
vendored
@@ -6,6 +6,7 @@
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"NADAL",
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"noninvertible",
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"Raytracer",
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"Schlick",
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"submatrix"
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],
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"files.associations": {
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@@ -28,6 +28,7 @@
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/* ------------------------------------------------------------------------- */
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#include <cmath>
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#include <cstdio>
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#include "intersection-data.h"
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@@ -213,3 +214,33 @@ const double IntersectionData::n2(void) const
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{
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return m_n2;
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}
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/* ------------------------------------------------------------------------- */
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double IntersectionData::schlick(void)
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{
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double the_cos, the_r0;
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// Find the cosine of the angle between the eye and the normal vectors
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the_cos = m_eyev.dot(m_normalv);
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// Total internal reflection can only occur if n1 > n2
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if (m_n1 > m_n2)
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{
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double the_n, the_sin2_t, the_cos_t;
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the_n = m_n1 / m_n2;
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the_sin2_t = std::pow(the_n, 2) * (1.0 - std::pow(the_cos, 2));
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if (the_sin2_t > 1.0)
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{
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return 1.0;
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}
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// Compute cosine of the theta_t using trig identity
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the_cos_t = std::sqrt(1.0 - the_sin2_t);
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the_cos = the_cos_t;
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}
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the_r0 = std::pow(((m_n1 - m_n2) / (m_n1 + m_n2)), 2);
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return the_r0 + (1 - the_r0) * std::pow((1 - the_cos), 5);
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}
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@@ -75,6 +75,8 @@ namespace Raytracer
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void set_n2(double an_n2);
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const double n2(void) const;
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double schlick(void);
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private:
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bool m_is_inside;
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double m_distance;
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@@ -168,7 +168,8 @@ Color World::shade_hit(const IntersectionData &an_intersection_data, uint32_t a_
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Color the_surface = the_object->material().lighting(the_object, m_light, an_intersection_data.over_point(),
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an_intersection_data.eyev(), an_intersection_data.normalv(), the_shadowed);
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Color the_reflected = reflected_color(an_intersection_data, a_remaining);
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return the_surface + the_reflected;
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Color the_refracted = refracted_color(an_intersection_data, a_remaining);
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return the_surface + the_reflected + the_refracted;
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}
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/* ------------------------------------------------------------------------- */
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@@ -194,7 +195,7 @@ Color World::reflected_color(const IntersectionData &a_data, uint32_t a_remainin
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Color World::refracted_color(const IntersectionData &an_intersection_data, uint32_t a_remaining) const
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{
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double the_n_ratio, the_cos_i, the_cos_t, the_sin_t;
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double the_n_ratio, the_cos_i, the_cos_t, the_sin2_t;
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Tuple the_direction;
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Color the_color;
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double the_transparency;
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@@ -218,14 +219,14 @@ Color World::refracted_color(const IntersectionData &an_intersection_data, uint3
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the_cos_i = an_intersection_data.eyev().dot(an_intersection_data.normalv());
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// Find sin(theta_t)^2 via trigonometric identity
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the_sin_t = the_n_ratio * the_n_ratio * (1.0 - the_cos_i * the_cos_i);
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if (the_sin_t > 1)
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the_sin2_t = the_n_ratio * the_n_ratio * (1.0 - the_cos_i * the_cos_i);
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if (the_sin2_t > 1)
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{
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return Color(0, 0, 0);
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}
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// Find cos(theta_t) via trigonometric identity
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the_cos_t = std::sqrt(1.0 - the_sin_t);
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the_cos_t = std::sqrt(1.0 - the_sin2_t);
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// Compute the direction of the refracted ray
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the_direction = an_intersection_data.normalv() * (the_n_ratio * the_cos_i - the_cos_t) -
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@@ -633,3 +633,153 @@ SCENARIO("The refracted color with a refracted ray", "[features/world.feature]")
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("shade_hit() with a transparent 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("floor <- plane() with:")
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{
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// | transform | translation(0, -1, 0) |
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// | material.transparency | 0.5 |
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// | material.refractive_index | 1.5 |
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Plane floor;
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floor.set_transform(Matrix::translation(0, -1, 0));
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floor.material().set_transparency(0.5);
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floor.material().set_refractive_index(1.5);
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AND_GIVEN("floor is added to w")
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{
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w.add_object(&floor);
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AND_GIVEN("ball <- sphere() with:")
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{
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// | material.color | (1, 0, 0) |
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// | material.ambient | 0.5 |
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// | transform | translation(0, -3.5, -0.5) |
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Sphere ball;
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ball.material().set_color(Color(1, 0, 0));
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ball.material().set_ambient(0.5);
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ball.set_transform(Matrix::translation(0, -3.5, -0.5));
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AND_GIVEN("ball is added to w")
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{
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w.add_object(&ball);
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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("xs <- intersections(sqrt(2):floor)")
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{
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Intersections xs = Intersections({Intersection(sqrt(2), &floor)});
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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("color <- shade_hit(w, comps, 5)")
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{
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Color color = w.shade_hit(comps, 5);
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THEN("color = color(0.93642, 0.68642, 0.68642)")
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{
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REQUIRE(color == Color(0.93642, 0.68642, 0.68642));
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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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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("The Schlick approximation under total internal reflection", "[features/intersections.feature]")
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{
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GIVEN("shape <- glass_sphere()")
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{
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Sphere shape = Sphere::Glass();
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AND_GIVEN("r <- ray(point(0, 0, sqrt(2) / 2)), vector(0, 1, 0)")
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{
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Ray r(Tuple::Point(0, 0, sqrt(2) / 2), Tuple::Vector(0, 1, 0));
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AND_GIVEN("xs <- intersections(-sqrt(2) / 2):shape, sqrt(2) / 2):shape)")
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{
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Intersections xs = Intersections({Intersection(-sqrt(2) / 2, &shape),
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Intersection(sqrt(2) / 2, &shape)});
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WHEN("comps <- prepare_computations(xs[1], r, xs)")
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{
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IntersectionData comps = xs[1].prepare_computations(r, &xs);
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AND_WHEN("reflectance <- schlick(comps)")
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{
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double reflectance = comps.schlick();
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THEN("reflectance = 1.0")
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{
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REQUIRE(reflectance == 1.0);
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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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SCENARIO("The Schlick approximation with a perpendicular viewing angle", "[features/intersections.feature]")
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{
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GIVEN("shape <- glass_sphere()")
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{
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Sphere shape = Sphere::Glass();
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AND_GIVEN("r <- 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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AND_GIVEN("xs <- intersections(-1:shape, 1:shape)")
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{
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Intersections xs = Intersections({Intersection(-1, &shape),
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Intersection(1, &shape)});
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WHEN("comps <- prepare_computations(xs[1], r, xs)")
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{
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IntersectionData comps = xs[1].prepare_computations(r, &xs);
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AND_WHEN("reflectance <- schlick(comps)")
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{
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double reflectance = comps.schlick();
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THEN("reflectance = 0.04")
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{
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REQUIRE(double_equal(reflectance, 0.04));
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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 Schlick approximation with a small angle and n2 > n1", "[features/intersections.feature]")
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{
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GIVEN("shape <- glass_sphere()")
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{
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Sphere shape = Sphere::Glass();
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AND_GIVEN("r <- ray(point(0, 0.99, -2), vector(0, 0, 1)")
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{
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Ray r(Tuple::Point(0, 0.99, -2), Tuple::Vector(0, 0, 1));
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AND_GIVEN("xs <- intersections(1.8589:shape)")
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{
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Intersections xs = Intersections({Intersection(1.8589, &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("reflectance <- schlick(comps)")
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{
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double reflectance = comps.schlick();
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THEN("reflectance = 0.48873")
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{
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REQUIRE(double_equal(reflectance, 0.48873));
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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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