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/*************************************************************************
* Copyright (C) 2009-2014 Tavian Barnes <tavianator@tavianator.com> *
* *
* This file is part of The Dimension Library. *
* *
* The Dimension Library is free software; you can redistribute it and/ *
* or modify it under the terms of the GNU Lesser General Public License *
* as published by the Free Software Foundation; either version 3 of the *
* License, or (at your option) any later version. *
* *
* The Dimension Library is distributed in the hope that it will be *
* useful, but WITHOUT ANY WARRANTY; without even the implied warranty *
* of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with this program. If not, see *
* <http://www.gnu.org/licenses/>. *
*************************************************************************/
/**
* @file
* Cones/cylinders.
*/
#include "internal/polynomial.h"
#include "dimension/model.h"
#include <math.h>
/// Cone type.
typedef struct dmnsn_cone {
dmnsn_object object;
double r1, r2;
} dmnsn_cone;
/// Intersection callback for a cone.
static bool
dmnsn_cone_intersection_fn(const dmnsn_object *object, dmnsn_ray l,
dmnsn_intersection *intersection)
{
const dmnsn_cone *cone = (const dmnsn_cone *)object;
double r1 = cone->r1, r2 = cone->r2;
// Solve (x0 + nx*t)^2 + (z0 + nz*t)^2 == (((r2 - r1)*(y0 + ny*t) + r1 + r2)/2)^2
double poly[3], x[2];
poly[2] = l.n.x*l.n.x + l.n.z*l.n.z - l.n.y*l.n.y*(r2 - r1)*(r2 - r1)/4.0;
poly[1] = 2.0*(l.n.x*l.x0.x + l.n.z*l.x0.z)
- l.n.y*(r2 - r1)*(l.x0.y*(r2 - r1) + r2 + r1)/2.0;
poly[0] = l.x0.x*l.x0.x + l.x0.z*l.x0.z
- (l.x0.y*(r2 - r1) + r2 + r1)*(l.x0.y*(r2 - r1) + r2 + r1)/4.0;
size_t n = dmnsn_polynomial_solve(poly, 2, x);
if (n > 0) {
double t = x[0];
dmnsn_vector p;
if (n == 2) {
t = dmnsn_min(t, x[1]);
p = dmnsn_ray_point(l, t);
if (p.y <= -1.0 || p.y >= 1.0) {
t = dmnsn_max(x[0], x[1]);
p = dmnsn_ray_point(l, t);
}
} else {
p = dmnsn_ray_point(l, t);
}
if (t >= 0.0 && p.y >= -1.0 && p.y <= 1.0) {
double r = ((r2 - r1)*p.y + r1 + r2)/2.0;
dmnsn_vector norm = dmnsn_new_vector(p.x, -r*(r2 - r1)/2.0, p.z);
intersection->t = t;
intersection->normal = norm;
return true;
}
}
return false;
}
/// Inside callback for a cone.
static bool
dmnsn_cone_inside_fn(const dmnsn_object *object, dmnsn_vector point)
{
const dmnsn_cone *cone = (const dmnsn_cone *)object;
double r1 = cone->r1, r2 = cone->r2;
double r = (point.y*(r2 - r1) + r1 + r2)/2.0;
return point.x*point.x + point.z*point.z < r*r
&& point.y > -1.0 && point.y < 1.0;
}
/// Cone bounding callback.
static dmnsn_aabb
dmnsn_cone_bounding_fn(const dmnsn_object *object, dmnsn_matrix trans)
{
const dmnsn_cone *cone = (const dmnsn_cone *)object;
double rmax = dmnsn_max(cone->r1, cone->r2);
dmnsn_aabb box = dmnsn_symmetric_aabb(dmnsn_new_vector(rmax, 1.0, rmax));
return dmnsn_transform_aabb(trans, box);
}
/// Cone vtable.
static const dmnsn_object_vtable dmnsn_cone_vtable = {
.intersection_fn = dmnsn_cone_intersection_fn,
.inside_fn = dmnsn_cone_inside_fn,
.bounding_fn = dmnsn_cone_bounding_fn,
};
/// Cone cap type.
typedef struct dmnsn_cone_cap {
dmnsn_object object;
double r;
} dmnsn_cone_cap;
/// Cone cap intersection function.
static bool
dmnsn_cone_cap_intersection_fn(const dmnsn_object *object, dmnsn_ray l,
dmnsn_intersection *intersection)
{
if (l.n.y != 0.0) {
const dmnsn_cone_cap *cap = (const dmnsn_cone_cap *)object;
double r = cap->r;
double t = -l.x0.y/l.n.y;
dmnsn_vector p = dmnsn_ray_point(l, t);
if (t >= 0.0 && p.x*p.x + p.z*p.z <= r*r) {
intersection->t = t;
intersection->normal = dmnsn_new_vector(0.0, -1.0, 0.0);
return true;
}
}
return false;
}
/// Inside callback for a cone cap.
static bool
dmnsn_cone_cap_inside_fn(const dmnsn_object *object, dmnsn_vector point)
{
return false;
}
/// Cone cap bounding callback.
static dmnsn_aabb
dmnsn_cone_cap_bounding_fn(const dmnsn_object *object, dmnsn_matrix trans)
{
const dmnsn_cone_cap *cap = (const dmnsn_cone_cap *)object;
dmnsn_aabb box = dmnsn_symmetric_aabb(dmnsn_new_vector(cap->r, 0.0, cap->r));
return dmnsn_transform_aabb(trans, box);
}
/// Cone cap vtable.
static const dmnsn_object_vtable dmnsn_cone_cap_vtable = {
.intersection_fn = dmnsn_cone_cap_intersection_fn,
.inside_fn = dmnsn_cone_cap_inside_fn,
.bounding_fn = dmnsn_cone_cap_bounding_fn,
};
/// Allocate a new cone cap.
dmnsn_object *
dmnsn_new_cone_cap(dmnsn_pool *pool, double r)
{
dmnsn_cone_cap *cap = DMNSN_PALLOC(pool, dmnsn_cone_cap);
cap->r = r;
dmnsn_object *object = &cap->object;
dmnsn_init_object(object);
object->vtable = &dmnsn_cone_cap_vtable;
return object;
}
// Allocate a new cone object
dmnsn_object *
dmnsn_new_cone(dmnsn_pool *pool, double r1, double r2, bool open)
{
dmnsn_cone *cone = DMNSN_PALLOC(pool, dmnsn_cone);
cone->r1 = r1;
cone->r2 = r2;
dmnsn_object *object = &cone->object;
dmnsn_init_object(object);
object->vtable = &dmnsn_cone_vtable;
if (open) {
return object;
}
// Implement closed cones as a union with the caps
dmnsn_object *cap1 = dmnsn_new_cone_cap(pool, r1);
dmnsn_object *cap2 = dmnsn_new_cone_cap(pool, r2);
cap1->intrinsic_trans = dmnsn_translation_matrix(
dmnsn_new_vector(0.0, -1.0, 0.0)
);
cap2->intrinsic_trans = dmnsn_translation_matrix(
dmnsn_new_vector(0.0, +1.0, 0.0)
);
// Flip the normal around for the top cap
cap2->intrinsic_trans.n[1][1] = -1.0;
dmnsn_array *withcaps = DMNSN_PALLOC_ARRAY(pool, dmnsn_object *);
dmnsn_array_push(withcaps, &cone);
dmnsn_array_push(withcaps, &cap1);
dmnsn_array_push(withcaps, &cap2);
dmnsn_object *cone_cap_union = dmnsn_new_csg_union(pool, withcaps);
return cone_cap_union;
}
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