1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
|
#include "Plane.hpp"
#include "Vector3.hpp"
#include <cmath>
namespace godot {
void Plane::set_normal(const Vector3 &p_normal) {
this->normal = p_normal;
}
Vector3 Plane::project(const Vector3 &p_point) const {
return p_point - normal * distance_to(p_point);
}
void Plane::normalize() {
real_t l = normal.length();
if (l == 0) {
*this = Plane(0, 0, 0, 0);
return;
}
normal /= l;
d /= l;
}
Plane Plane::normalized() const {
Plane p = *this;
p.normalize();
return p;
}
Vector3 Plane::get_any_point() const {
return get_normal() * d;
}
Vector3 Plane::get_any_perpendicular_normal() const {
static const Vector3 p1 = Vector3(1, 0, 0);
static const Vector3 p2 = Vector3(0, 1, 0);
Vector3 p;
if (::fabs(normal.dot(p1)) > 0.99) // if too similar to p1
p = p2; // use p2
else
p = p1; // use p1
p -= normal * normal.dot(p);
p.normalize();
return p;
}
/* intersections */
bool Plane::intersect_3(const Plane &p_plane1, const Plane &p_plane2, Vector3 *r_result) const {
const Plane &p_plane0 = *this;
Vector3 normal0 = p_plane0.normal;
Vector3 normal1 = p_plane1.normal;
Vector3 normal2 = p_plane2.normal;
real_t denom = vec3_cross(normal0, normal1).dot(normal2);
if (::fabs(denom) <= CMP_EPSILON)
return false;
if (r_result) {
*r_result = ((vec3_cross(normal1, normal2) * p_plane0.d) +
(vec3_cross(normal2, normal0) * p_plane1.d) +
(vec3_cross(normal0, normal1) * p_plane2.d)) /
denom;
}
return true;
}
bool Plane::intersects_ray(Vector3 p_from, Vector3 p_dir, Vector3 *p_intersection) const {
Vector3 segment = p_dir;
real_t den = normal.dot(segment);
//printf("den is %i\n",den);
if (::fabs(den) <= CMP_EPSILON) {
return false;
}
real_t dist = (normal.dot(p_from) - d) / den;
//printf("dist is %i\n",dist);
if (dist > CMP_EPSILON) { //this is a ray, before the emiting pos (p_from) doesnt exist
return false;
}
dist = -dist;
*p_intersection = p_from + segment * dist;
return true;
}
bool Plane::intersects_segment(Vector3 p_begin, Vector3 p_end, Vector3 *p_intersection) const {
Vector3 segment = p_begin - p_end;
real_t den = normal.dot(segment);
//printf("den is %i\n",den);
if (::fabs(den) <= CMP_EPSILON) {
return false;
}
real_t dist = (normal.dot(p_begin) - d) / den;
//printf("dist is %i\n",dist);
if (dist < -CMP_EPSILON || dist > (1.0 + CMP_EPSILON)) {
return false;
}
dist = -dist;
*p_intersection = p_begin + segment * dist;
return true;
}
/* misc */
bool Plane::is_almost_like(const Plane &p_plane) const {
return (normal.dot(p_plane.normal) > _PLANE_EQ_DOT_EPSILON && ::fabs(d - p_plane.d) < _PLANE_EQ_D_EPSILON);
}
Plane::operator String() const {
// return normal.operator String() + ", " + rtos(d);
return String(); // @Todo
}
bool Plane::is_point_over(const Vector3 &p_point) const {
return (normal.dot(p_point) > d);
}
real_t Plane::distance_to(const Vector3 &p_point) const {
return (normal.dot(p_point) - d);
}
bool Plane::has_point(const Vector3 &p_point, real_t _epsilon) const {
real_t dist = normal.dot(p_point) - d;
dist = ::fabs(dist);
return (dist <= _epsilon);
}
Plane::Plane(const Vector3 &p_normal, real_t p_d) {
normal = p_normal;
d = p_d;
}
Plane::Plane(const Vector3 &p_point, const Vector3 &p_normal) {
normal = p_normal;
d = p_normal.dot(p_point);
}
Plane::Plane(const Vector3 &p_point1, const Vector3 &p_point2, const Vector3 &p_point3, ClockDirection p_dir) {
if (p_dir == CLOCKWISE)
normal = (p_point1 - p_point3).cross(p_point1 - p_point2);
else
normal = (p_point1 - p_point2).cross(p_point1 - p_point3);
normal.normalize();
d = normal.dot(p_point1);
}
bool Plane::operator==(const Plane &p_plane) const {
return normal == p_plane.normal && d == p_plane.d;
}
bool Plane::operator!=(const Plane &p_plane) const {
return normal != p_plane.normal || d != p_plane.d;
}
} // namespace godot
|
