/****************************************************************************** Copyright (C) 2013 by Hugh Bailey This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 2 of the License, or (at your option) any later version. This program 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 General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see . ******************************************************************************/ #include "bounds.h" #include "matrix3.h" #include "matrix4.h" #include "plane.h" void bounds_move(struct bounds *dst, const struct bounds *b, const struct vec3 *v) { vec3_add(&dst->min, &b->min, v); vec3_add(&dst->max, &b->max, v); } void bounds_scale(struct bounds *dst, const struct bounds *b, const struct vec3 *v) { vec3_mul(&dst->min, &b->min, v); vec3_mul(&dst->max, &b->max, v); } void bounds_merge(struct bounds *dst, const struct bounds *b1, const struct bounds *b2) { vec3_min(&dst->min, &b1->min, &b2->min); vec3_max(&dst->max, &b1->max, &b2->max); } void bounds_merge_point(struct bounds *dst, const struct bounds *b, const struct vec3 *v) { vec3_min(&dst->min, &b->min, v); vec3_max(&dst->max, &b->max, v); } void bounds_get_point(struct vec3 *dst, const struct bounds *b, unsigned int i) { if (i > 8) return; /* * Note: * 0 = min.x,min.y,min.z * 1 = min.x,min.y,MAX.z * 2 = min.x,MAX.y,min.z * 3 = min.x,MAX.y,MAX.z * 4 = MAX.x,min.y,min.z * 5 = MAX.x,min.y,MAX.z * 6 = MAX.x,MAX.y,min.z * 7 = MAX.x,MAX.y,MAX.z */ if(i > 3) {dst->x = b->max.x; i -= 4;} else {dst->x = b->min.x;} if(i > 1) {dst->y = b->max.y; i -= 2;} else {dst->y = b->min.y;} dst->z = (i == 1) ? b->max.z : b->min.z; } void bounds_get_center(struct vec3 *dst, const struct bounds *b) { vec3_sub(dst, &b->max, &b->min); vec3_mulf(dst, dst, 0.5f); vec3_add(dst, dst, &b->min); } void bounds_transform(struct bounds *dst, const struct bounds *b, const struct matrix4 *m) { struct bounds temp; bool b_init = false; int i; for (i = 0; i < 8; i++) { struct vec3 p; bounds_get_point(&p, b, i); vec3_transform(&p, &p, m); if (!b_init) { vec3_copy(&temp.min, &p); vec3_copy(&temp.max, &p); b_init = true; } else { if (p.x < temp.min.x) temp.min.x = p.x; else if (p.x > temp.max.x) temp.max.x = p.x; if (p.y < temp.min.y) temp.min.y = p.y; else if (p.y > temp.max.y) temp.max.y = p.y; if (p.z < temp.min.z) temp.min.z = p.z; else if (p.z > temp.max.z) temp.max.z = p.z; } } bounds_copy(dst, &temp); } void bounds_transform3x4(struct bounds *dst, const struct bounds *b, const struct matrix3 *m) { struct bounds temp; bool b_init = false; int i; for (i = 0; i < 8; i++) { struct vec3 p; bounds_get_point(&p, b, i); vec3_transform3x4(&p, &p, m); if (!b_init) { vec3_copy(&temp.min, &p); vec3_copy(&temp.max, &p); b_init = true; } else { if (p.x < temp.min.x) temp.min.x = p.x; else if (p.x > temp.max.x) temp.max.x = p.x; if (p.y < temp.min.y) temp.min.y = p.y; else if (p.y > temp.max.y) temp.max.y = p.y; if (p.z < temp.min.z) temp.min.z = p.z; else if (p.z > temp.max.z) temp.max.z = p.z; } } bounds_copy(dst, &temp); } bool bounds_intersection_ray(const struct bounds *b, const struct vec3 *orig, const struct vec3 *dir, float *t) { float t_max = M_INFINITE; float t_min = -M_INFINITE; struct vec3 center, max_offset, box_offset; int i; bounds_get_center(¢er, b); vec3_sub(&max_offset, &b->max, ¢er); vec3_sub(&box_offset, ¢er, orig); for (i = 0; i < 3; i++) { float e = box_offset.ptr[i]; float f = dir->ptr[i]; if (fabsf(f) > 0.0f) { float fi = 1.0f/f; float t1 = (e+max_offset.ptr[i])*fi; float t2 = (e-max_offset.ptr[i])*fi; if (t1 > t2) { if (t2 > t_min) t_min = t2; if (t1 < t_max) t_max = t1; } else { if (t1 > t_min) t_min = t1; if (t2 < t_max) t_max = t2; } if (t_min > t_max) return false; if (t_max < 0.0f) return false; } else if ((-e - max_offset.ptr[i]) > 0.0f || (-e + max_offset.ptr[i]) < 0.0f) { return false; } } *t = (t_min > 0.0f) ? t_min : t_max; return true; } bool bounds_intersection_line(const struct bounds *b, const struct vec3 *p1, const struct vec3 *p2, float *t) { struct vec3 dir; float length; vec3_sub(&dir, p2, p1); length = vec3_len(&dir); if (length <= TINY_EPSILON) return false; vec3_mulf(&dir, &dir, 1.0f/length); if (!bounds_intersection_ray(b, p1, &dir, t)) return false; *t /= length; return true; } bool bounds_plane_test(const struct bounds *b, const struct plane *p) { struct vec3 vmin, vmax; int i; for (i = 0; i < 3; i++) { if (p->dir.ptr[i] >= 0.0f) { vmin.ptr[i] = b->min.ptr[i]; vmax.ptr[i] = b->max.ptr[i]; } else { vmin.ptr[i] = b->max.ptr[i]; vmax.ptr[i] = b->min.ptr[i]; } } if (vec3_plane_dist(&vmin, p) > 0.0f) return BOUNDS_OUTSIDE; if (vec3_plane_dist(&vmax, p) >= 0.0f) return BOUNDS_PARTIAL; return BOUNDS_INSIDE; } bool bounds_under_plane(const struct bounds *b, const struct plane *p) { struct vec3 vmin; vmin.x = (p->dir.x < 0.0f) ? b->max.x : b->min.x; vmin.y = (p->dir.y < 0.0f) ? b->max.y : b->min.y; vmin.z = (p->dir.z < 0.0f) ? b->max.z : b->min.z; return (vec3_dot(&vmin, &p->dir) <= p->dist); } bool bounds_intersects(const struct bounds *b, const struct bounds *test, float epsilon) { return ((b->min.x - test->max.x) <= epsilon) && ((test->min.x - b->max.x) <= epsilon) && ((b->min.y - test->max.y) <= epsilon) && ((test->min.y - b->max.y) <= epsilon) && ((b->min.z - test->max.z) <= epsilon) && ((test->min.z - b->max.z) <= epsilon); } bool bounds_intersects_obb(const struct bounds *b, const struct bounds *test, const struct matrix4 *m, float epsilon) { struct bounds b_tr, test_tr; struct matrix4 m_inv; matrix4_inv(&m_inv, m); bounds_transform(&b_tr, b, m); bounds_transform(&test_tr, test, &m_inv); return bounds_intersects(b, &test_tr, epsilon) && bounds_intersects(&b_tr, test, epsilon); } bool bounds_intersects_obb3x4(const struct bounds *b, const struct bounds *test, const struct matrix3 *m, float epsilon) { struct bounds b_tr, test_tr; struct matrix3 m_inv; matrix3_transpose(&m_inv, m); bounds_transform3x4(&b_tr, b, m); bounds_transform3x4(&test_tr, test, &m_inv); return bounds_intersects(b, &test_tr, epsilon) && bounds_intersects(&b_tr, test, epsilon); } static inline float vec3or_offset_len(const struct bounds *b, const struct vec3 *v) { struct vec3 temp1, temp2; vec3_sub(&temp1, &b->max, &b->min); vec3_abs(&temp2, v); return vec3_dot(&temp1, &temp2); } float bounds_min_dist(const struct bounds *b, const struct plane *p) { struct vec3 center; float vec_len = vec3or_offset_len(b, &p->dir) * 0.5f; float center_dist; bounds_get_center(¢er, b); center_dist = vec3_plane_dist(¢er, p); return p->dist + center_dist - vec_len; }