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
174
175
176
177
178
179
180
181
182
|
/*************************************************************************/
/* vector3.cpp */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* http://www.godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of the Software, and to */
/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#include "vector3.h"
#include "matrix3.h"
void Vector3::rotate(const Vector3& p_axis,real_t p_phi) {
*this=Basis(p_axis,p_phi).xform(*this);
}
Vector3 Vector3::rotated(const Vector3& p_axis,real_t p_phi) const {
Vector3 r = *this;
r.rotate(p_axis,p_phi);
return r;
}
void Vector3::set_axis(int p_axis,real_t p_value) {
ERR_FAIL_INDEX(p_axis,3);
coord[p_axis]=p_value;
}
real_t Vector3::get_axis(int p_axis) const {
ERR_FAIL_INDEX_V(p_axis,3,0);
return operator[](p_axis);
}
int Vector3::min_axis() const {
return x < y ? (x < z ? 0 : 2) : (y < z ? 1 : 2);
}
int Vector3::max_axis() const {
return x < y ? (y < z ? 2 : 1) : (x < z ? 2 : 0);
}
void Vector3::snap(real_t p_val) {
x=Math::stepify(x,p_val);
y=Math::stepify(y,p_val);
z=Math::stepify(z,p_val);
}
Vector3 Vector3::snapped(real_t p_val) const {
Vector3 v=*this;
v.snap(p_val);
return v;
}
Vector3 Vector3::cubic_interpolaten(const Vector3& p_b,const Vector3& p_pre_a, const Vector3& p_post_b,real_t p_t) const {
Vector3 p0=p_pre_a;
Vector3 p1=*this;
Vector3 p2=p_b;
Vector3 p3=p_post_b;
{
//normalize
real_t ab = p0.distance_to(p1);
real_t bc = p1.distance_to(p2);
real_t cd = p2.distance_to(p3);
if (ab>0)
p0 = p1+(p0-p1)*(bc/ab);
if (cd>0)
p3 = p2+(p3-p2)*(bc/cd);
}
real_t t = p_t;
real_t t2 = t * t;
real_t t3 = t2 * t;
Vector3 out;
out = 0.5 * ( ( p1 * 2.0) +
( -p0 + p2 ) * t +
( 2.0 * p0 - 5.0 * p1 + 4 * p2 - p3 ) * t2 +
( -p0 + 3.0 * p1 - 3.0 * p2 + p3 ) * t3 );
return out;
}
Vector3 Vector3::cubic_interpolate(const Vector3& p_b,const Vector3& p_pre_a, const Vector3& p_post_b,real_t p_t) const {
Vector3 p0=p_pre_a;
Vector3 p1=*this;
Vector3 p2=p_b;
Vector3 p3=p_post_b;
real_t t = p_t;
real_t t2 = t * t;
real_t t3 = t2 * t;
Vector3 out;
out = 0.5 * ( ( p1 * 2.0) +
( -p0 + p2 ) * t +
( 2.0 * p0 - 5.0 * p1 + 4 * p2 - p3 ) * t2 +
( -p0 + 3.0 * p1 - 3.0 * p2 + p3 ) * t3 );
return out;
}
#if 0
Vector3 Vector3::cubic_interpolate(const Vector3& p_b,const Vector3& p_pre_a, const Vector3& p_post_b,real_t p_t) const {
Vector3 p0=p_pre_a;
Vector3 p1=*this;
Vector3 p2=p_b;
Vector3 p3=p_post_b;
if (true) {
real_t ab = p0.distance_to(p1);
real_t bc = p1.distance_to(p2);
real_t cd = p2.distance_to(p3);
//if (ab>bc) {
if (ab>0)
p0 = p1+(p0-p1)*(bc/ab);
//}
//if (cd>bc) {
if (cd>0)
p3 = p2+(p3-p2)*(bc/cd);
//}
}
real_t t = p_t;
real_t t2 = t * t;
real_t t3 = t2 * t;
Vector3 out;
out.x = 0.5 * ( ( 2.0 * p1.x ) +
( -p0.x + p2.x ) * t +
( 2.0 * p0.x - 5.0 * p1.x + 4 * p2.x - p3.x ) * t2 +
( -p0.x + 3.0 * p1.x - 3.0 * p2.x + p3.x ) * t3 );
out.y = 0.5 * ( ( 2.0 * p1.y ) +
( -p0.y + p2.y ) * t +
( 2.0 * p0.y - 5.0 * p1.y + 4 * p2.y - p3.y ) * t2 +
( -p0.y + 3.0 * p1.y - 3.0 * p2.y + p3.y ) * t3 );
out.z = 0.5 * ( ( 2.0 * p1.z ) +
( -p0.z + p2.z ) * t +
( 2.0 * p0.z - 5.0 * p1.z + 4 * p2.z - p3.z ) * t2 +
( -p0.z + 3.0 * p1.z - 3.0 * p2.z + p3.z ) * t3 );
return out;
}
# endif
Vector3::operator String() const {
return (rtos(x)+", "+rtos(y)+", "+rtos(z));
}
|