Files
dorayme/source/shapes/cylinder.cpp

128 lines
3.4 KiB
C++

/*
* DoRayMe - a quick and dirty Raytracer
* Cylinder implementation
*
* Created by Manoël Trapier
* Copyright (c) 2020 986-Studio.
*
*/
#include <tuple.h>
#include <ray.h>
#include <shape.h>
#include <cylinder.h>
#include <math_helper.h>
bool Cylinder::checkCap(Ray r, double t)
{
/* Helping function to reduce duplication.
* Checks to see if the intersection ot t is within a radius
* of 1 (the radius of our cylinder from the y axis
*/
double x = r.origin.x + t * r.direction.x;
double z = r.origin.z + t * r.direction.z;
return (x * x + z * z) <= 1;
}
void Cylinder::intersectCaps(Ray r, Intersect &xs)
{
/* Caps only matter if the cylinder is closed, and might possibly be
* intersected by the ray
*/
if ((this->isClosed) && (fabs(r.direction.y) > getEpsilon()))
{
double t;
/* Check for an intersection with the lower end cap by intersecting
* the ray with the plan at y = this->minCap
*/
t = (this->minCap - r.origin.y) / r.direction.y;
if (this->checkCap(r, t))
{
xs.add(Intersection(t, this));
}
/* Check for an intersection with the upper end cap by intersecting
* the ray with the plan at y = this->maxCap
*/
t = (this->maxCap - r.origin.y) / r.direction.y;
if (this->checkCap(r, t))
{
xs.add(Intersection(t, this));
}
}
}
void Cylinder::localIntersect(Ray r, Intersect &xs)
{
double A = r.direction.x * r.direction.x + r.direction.z * r.direction.z;
/* Ray is parallel to the Y axis */
if (A >= getEpsilon())
{
double B = 2 * r.origin.x * r.direction.x +
2 * r.origin.z * r.direction.z;
double C = r.origin.x * r.origin.x + r.origin.z * r.origin.z - 1;
double disc = B * B - 4 * A * C;
if (disc >= 0)
{
double t0 = (-B - sqrt(disc)) / (2 * A);
double t1 = (-B + sqrt(disc)) / (2 * A);
double y0 = r.origin.y + t0 * r.direction.y;
if ((this->minCap < y0) && (y0 < this->maxCap))
{
xs.add(Intersection(t0, this));
}
double y1 = r.origin.y + t1 * r.direction.y;
if ((this->minCap < y1) && (y1 < this->maxCap))
{
xs.add(Intersection(t1, this));
}
}
}
this->intersectCaps(r, xs);
}
Tuple Cylinder::localNormalAt(Tuple point, Intersection *hit)
{
/* Compute the square of the distance from the Y axis */
double dist = point.x * point.x + point.z * point.z;
if ((dist < 1) && (point.y >= (this->maxCap - getEpsilon())))
{
return Vector(0, 1, 0);
}
if ((dist < 1) && (point.y <= this->minCap + getEpsilon()))
{
return Vector(0, -1, 0);
}
return Vector(point.x, 0, point.z);
}
BoundingBox Cylinder::getLocalBounds()
{
BoundingBox ret;
ret | Point(-1, this->minCap, -1);
ret | Point(1, this->maxCap, 1);
return ret;
}
void Cylinder::dumpMe(FILE *fp)
{
fprintf(fp, "\"Type\": \"Cylinder\",\n");
Tuple t = this->transformMatrix * Point(0, 0, 0);
fprintf(fp, "\"pseudocenter\": { \"x\": %f, \"y\": %f, \"z\": %f}, \n",
t.x, t.y, t.z);
t = this->transformMatrix * Point(0, this->minCap, 0);
fprintf(fp, "\"min\": %f, \n", t.y);
t = this->transformMatrix * Point(1, this->maxCap, 1);
fprintf(fp, "\"max\": %f, \n", t.y);
Shape::dumpMe(fp);
}