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-rw-r--r--libdimension/objects.c211
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diff --git a/libdimension/objects.c b/libdimension/objects.c
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-/*************************************************************************
- * Copyright (C) 2009 Tavian Barnes <tavianator@gmail.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/>. *
- *************************************************************************/
-
-#include "dimension.h"
-#include <stdlib.h> /* For malloc */
-#include <math.h> /* For sqrt */
-
-/*
- * Sphere
- */
-
-/* Sphere object callbacks */
-
-static dmnsn_intersection *
-dmnsn_sphere_intersection_fn(const dmnsn_object *sphere, dmnsn_line line);
-
-static int dmnsn_sphere_inside_fn(const dmnsn_object *sphere,
- dmnsn_vector point);
-
-/* Allocate a new sphere */
-dmnsn_object *
-dmnsn_new_sphere()
-{
- dmnsn_object *sphere = dmnsn_new_object();
- if (sphere) {
- sphere->intersection_fn = &dmnsn_sphere_intersection_fn;
- sphere->inside_fn = &dmnsn_sphere_inside_fn;
- sphere->min = dmnsn_new_vector(-1.0, -1.0, -1.0);
- sphere->max = dmnsn_new_vector(1.0, 1.0, 1.0);
- }
- return sphere;
-}
-
-/* Returns the closest intersection of `line' with `sphere' */
-static dmnsn_intersection *
-dmnsn_sphere_intersection_fn(const dmnsn_object *sphere, dmnsn_line line)
-{
- double a, b, c, t;
- dmnsn_intersection *intersection = NULL;
-
- /* Solve (x0 + nx*t)^2 + (y0 + ny*t)^2 + (z0 + nz*t)^2 == 1 */
-
- a = line.n.x*line.n.x + line.n.y*line.n.y + line.n.z*line.n.z;
- b = 2.0*(line.n.x*line.x0.x + line.n.y*line.x0.y + line.n.z*line.x0.z);
- c = line.x0.x*line.x0.x + line.x0.y*line.x0.y + line.x0.z*line.x0.z - 1.0;
-
- if (b*b - 4.0*a*c >= 0) {
- t = (-b - sqrt(b*b - 4.0*a*c))/(2*a);
- if (t < 0.0) {
- t = (-b + sqrt(b*b - 4.0*a*c))/(2*a);
- }
-
- if (t >= 0.0) {
- intersection = dmnsn_new_intersection();
- intersection->ray = line;
- intersection->t = t;
- intersection->normal = dmnsn_line_point(line, t);
- intersection->texture = sphere->texture;
-
- /* Flip the normal if we're inside the sphere */
- if (dmnsn_vector_dot(line.n, intersection->normal) > 0.0)
- intersection->normal = dmnsn_vector_negate(intersection->normal);
- }
- }
-
- return intersection;
-}
-
-/* Return whether a point is inside a sphere (x**2 + y**2 + z**2 < 1.0) */
-static int
-dmnsn_sphere_inside_fn(const dmnsn_object *sphere, dmnsn_vector point)
-{
- return point.x*point.x + point.y*point.y + point.z*point.z < 1.0;
-}
-
-/*
- * Cube
- */
-
-/* Cube callbacks */
-static dmnsn_intersection *dmnsn_cube_intersection_fn(const dmnsn_object *cube,
- dmnsn_line line);
-static int dmnsn_cube_inside_fn(const dmnsn_object *cube,
- dmnsn_vector point);
-
-/* Allocate a new cube object */
-dmnsn_object *
-dmnsn_new_cube()
-{
- dmnsn_object *cube = dmnsn_new_object();
- if (cube) {
- cube->intersection_fn = &dmnsn_cube_intersection_fn;
- cube->inside_fn = &dmnsn_cube_inside_fn;
- cube->min = dmnsn_new_vector(-1.0, -1.0, -1.0);
- cube->max = dmnsn_new_vector(1.0, 1.0, 1.0);
- }
- return cube;
-}
-
-/* Intersections callback for a cube */
-static dmnsn_intersection *
-dmnsn_cube_intersection_fn(const dmnsn_object *cube, dmnsn_line line)
-{
- double t = -1.0, t_temp;
- dmnsn_vector p, normal;
- dmnsn_intersection *intersection = NULL;
-
- /* Six ray-plane intersection tests (x, y, z) = +/- 1.0 */
-
- if (line.n.x != 0.0) {
- /* x = -1.0 */
- t_temp = (-1.0 - line.x0.x)/line.n.x;
- p = dmnsn_line_point(line, t_temp);
- if (p.y >= -1.0 && p.y <= 1.0 && p.z >= -1.0 && p.z <= 1.0
- && t_temp >= 0.0 && (t < 0.0 || t_temp < t))
- {
- t = t_temp;
- normal = dmnsn_new_vector(-copysign(1.0, line.n.x), 0.0, 0.0);
- }
-
- /* x = 1.0 */
- t_temp = (1.0 - line.x0.x)/line.n.x;
- p = dmnsn_line_point(line, t_temp);
- if (p.y >= -1.0 && p.y <= 1.0 && p.z >= -1.0 && p.z <= 1.0
- && t_temp >= 0.0 && (t < 0.0 || t_temp < t))
- {
- t = t_temp;
- normal = dmnsn_new_vector(-copysign(1.0, line.n.x), 0.0, 0.0);
- }
- }
-
- if (line.n.y != 0.0) {
- /* y = -1.0 */
- t_temp = (-1.0 - line.x0.y)/line.n.y;
- p = dmnsn_line_point(line, t_temp);
- if (p.x >= -1.0 && p.x <= 1.0 && p.z >= -1.0 && p.z <= 1.0
- && t_temp >= 0.0 && (t < 0.0 || t_temp < t))
- {
- t = t_temp;
- normal = dmnsn_new_vector(0.0, -copysign(1.0, line.n.y), 0.0);
- }
-
- /* y = 1.0 */
- t_temp = (1.0 - line.x0.y)/line.n.y;
- p = dmnsn_line_point(line, t_temp);
- if (p.x >= -1.0 && p.x <= 1.0 && p.z >= -1.0 && p.z <= 1.0
- && t_temp >= 0.0 && (t < 0.0 || t_temp < t))
- {
- t = t_temp;
- normal = dmnsn_new_vector(0.0, -copysign(1.0, line.n.y), 0.0);
- }
- }
-
- if (line.n.z != 0.0) {
- /* z = -1.0 */
- t_temp = (-1.0 - line.x0.z)/line.n.z;
- p = dmnsn_line_point(line, t_temp);
- if (p.x >= -1.0 && p.x <= 1.0 && p.y >= -1.0 && p.y <= 1.0
- && t_temp >= 0.0 && (t < 0.0 || t_temp < t))
- {
- t = t_temp;
- normal = dmnsn_new_vector(0.0, 0.0, -copysign(1.0, line.n.z));
- }
-
- /* z = 1.0 */
- t_temp = (1.0 - line.x0.z)/line.n.z;
- p = dmnsn_line_point(line, t_temp);
- if (p.x >= -1.0 && p.x <= 1.0 && p.y >= -1.0 && p.y <= 1.0
- && t_temp >= 0.0 && (t < 0.0 || t_temp < t))
- {
- t = t_temp;
- normal = dmnsn_new_vector(0.0, 0.0, -copysign(1.0, line.n.z));
- }
- }
-
- if (t >= 0.0) {
- intersection = dmnsn_new_intersection();
- intersection->ray = line;
- intersection->t = t;
- intersection->normal = normal;
- intersection->texture = cube->texture;
- }
-
- return intersection;
-}
-
-/* Inside callback for a cube */
-static int
-dmnsn_cube_inside_fn(const dmnsn_object *cube, dmnsn_vector point)
-{
- return point.x > -1.0 && point.x < 1.0
- && point.y > -1.0 && point.y < 1.0
- && point.z > -1.0 && point.z < 1.0;
-}