[FEAT] Add cone
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@@ -63,6 +63,16 @@ public:
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/* ------------------------------------------------------------------------- */
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class ConeTestConstrained
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{
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public:
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Tuple origin;
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Tuple direction;
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uint16_t count;
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};
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/* ------------------------------------------------------------------------- */
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SCENARIO("A Ray misses a cylinder", "[features/cylinders.feature]")
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{
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// | origin | direction |
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@@ -163,7 +173,7 @@ SCENARIO("Normal vector on a cylinder", "[features/cylinders.feature]")
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Cylinder cyl;
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WHEN("n <- local_normal_at(cyl,<point>)")
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{
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for (int i = 0; i < 3; i++)
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for (int i = 0; i < 4; i++)
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{
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Tuple p = the_test[i].point;
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Tuple normal = cyl.local_normal_at(p);
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@@ -362,3 +372,162 @@ SCENARIO("The normal vector on the cylinder's end caps", "[features/cylinders.fe
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}
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}
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}
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/* ------------------------------------------------------------------------- */
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SCENARIO("Intersecting a cone with a ray", "[features/cones.feature]")
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{
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// | origin | direction | t0 | t1 |
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// | point(0, 0, -5) | vector(0, 0, 1) | 5 | 5 |
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// | point(0, 0, -5) | vector(1, 1, 1) | 8.66025 | 8.66025 |
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// | point(1, 1, -5) | vector(-0.5, -1, 1) | 4.55006 | 49.44994 |
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CylinderTestIntersect the_test[] = {
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{Tuple::Point(0, 0, -5), Tuple::Vector(0, 0, 1), 5, 5},
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{Tuple::Point(0, 0, -5), Tuple::Vector(1, 1, 1), 8.66025, 8.66025},
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{Tuple::Point(1, 1, -5), Tuple::Vector(-0.5, -1, 1), 4.55006, 49.44994}
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};
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GIVEN("shape <- cone()")
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{
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Cone shape;
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AND_GIVEN("direction <- normalize(<direction>)")
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{
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AND_GIVEN("r <- ray(<origin>, direction)")
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{
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WHEN("xs <- local_intersect(shape, r)")
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{
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for (int i = 0; i < 5; i++)
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{
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Tuple direction = the_test[i].direction.normalize();
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Ray r(the_test[i].origin, direction);
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Intersections xs = shape.local_intersect(r);
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THEN("xs.count = 2")
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{
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REQUIRE(xs.count() == 2);
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}
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AND_THEN("xs[0].t = <t1>")
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{
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REQUIRE(xs[0].distance_t() == the_test[i].t0);
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}
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AND_THEN("xs[1].t = <t2>")
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{
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REQUIRE(xs[1].distance_t() == the_test[i].t1);
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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("Intersecting a cone with a ray parallel ton one of its halves", "[features/cones.feature]")
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{
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GIVEN("shape <- cone()")
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{
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Cone shape;
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AND_GIVEN("direction <- normalize(vector(0, 1, 1))")
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{
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Tuple direction = Tuple::Vector(0, 1, 1).normalize();
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AND_GIVEN("r <- ray(point(0, 0, -1), direction)")
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{
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Ray r(Tuple::Point(0, 0, -1), direction);
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WHEN("xs <- local_intersect(shape, r)")
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{
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Intersections xs = shape.local_intersect(r);
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THEN("xs.count = 1")
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{
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REQUIRE(xs.count() == 1);
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}
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AND_THEN("xs[0].t = 0.35355")
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{
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REQUIRE(double_equal(xs[0].distance_t(), 0.35355));
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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("Intersecting a cone's end caps", "[features/cones.feature]")
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{
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// | origin | direction | count |
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// | point(0, 0, -5) | vector(0, 1, 0) | 0 |
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// | point(0, 0, -0.25) | vector(0, 1, 1) | 2 |
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// | point(0, 0, -0.25) | vector(0, 1, 0) | 4 |
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ConeTestConstrained the_test[] = {
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{Tuple::Point(0, 0, -5), Tuple::Vector(0, 1, 0), 0},
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{Tuple::Point(0, 0, -0.25), Tuple::Vector(0, 1, 1), 2},
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{Tuple::Point(0, 0, -0.25), Tuple::Vector(0, 1, 0), 4}
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};
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GIVEN("shape <- cone()")
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{
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Cone shape;
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AND_GIVEN("shape.minimum <- 0.5")
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{
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shape.set_minimum(0.5);
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AND_GIVEN("shape.maximum <- 0.5")
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{
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shape.set_maximum(0.5);
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AND_GIVEN("shape.closed <- true")
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{
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shape.set_closed(true);
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AND_GIVEN("direction <- normalize(<direction>)")
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{
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AND_GIVEN("r <- ray(<origin>, direction)")
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{
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WHEN("xs <- local_intersect(shape,r)")
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{
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for (int i = 0; i < 5; i++)
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{
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Tuple direction = the_test[i].direction.normalize();
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Ray r(the_test[i].origin, direction);
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Intersections xs = shape.local_intersect(r);
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THEN("xs.count = <count>")
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{
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REQUIRE(xs.count() == the_test[i].count);
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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("Computing the normal vector on a cone", "[features/cones.feature]")
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{
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// | point | normal |
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// | point(0, 0, 0) | vector(0, 0, 0) |
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// | point(1, 1, 1) | vector(1, -sqrt(2), 1) |
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// | point(-1, -1, 0) | vector(-1, 1, 0) |
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CylinderTestNormal the_test[] = {
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{ Tuple::Point(0, 0, 0), Tuple::Vector(0, 0, 0)},
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{ Tuple::Point(1, 1, 1), Tuple::Vector(1, -sqrt(2), 1)},
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{Tuple::Point(-1, -1, 0), Tuple::Vector(-1, 1, 0)}
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};
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GIVEN("shape <- cone()")
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{
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Cone shape;
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WHEN("n <- local_normal_at(shape, <point>)")
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{
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for (int i = 0; i < 3; i++)
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{
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Tuple p = the_test[i].point;
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Tuple normal = shape.local_normal_at(p);
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THEN("n = <normal>")
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{
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REQUIRE(normal == the_test[i].normal);
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}
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}
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}
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}
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}
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