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
|
/*
Copyright (C) 1991-2002, The Numerical ALgorithms Group Ltd.
All rights reserved.
Copyright (C) 2007-2008, Gabriel Dos Reis.
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:
- Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
- Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in
the documentation and/or other materials provided with the
distribution.
- Neither the name of The Numerical ALgorithms Group Ltd. nor the
names of its contributors may be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#define _TRANSFORM3D_C
#include "openaxiom-c-macros.h"
#include "header.h"
#include "all_3d.H1"
void
matrixMultiply4x4(float xxA[4][4],float xxB[4][4],float array[4][4])
{
array[0][0] = xxA[0][0]*xxB[0][0] + xxA[0][1]*xxB[1][0] +
xxA[0][2]*xxB[2][0] + xxA[0][3]*xxB[3][0];
array[1][0] = xxA[1][0]*xxB[0][0] + xxA[1][1]*xxB[1][0] +
xxA[1][2]*xxB[2][0] + xxA[1][3]*xxB[3][0];
array[2][0] = xxA[2][0]*xxB[0][0] + xxA[2][1]*xxB[1][0] +
xxA[2][2]*xxB[2][0] + xxA[2][3]*xxB[3][0];
array[3][0] = xxA[3][0]*xxB[0][0] + xxA[3][1]*xxB[1][0] +
xxA[3][2]*xxB[2][0] + xxA[3][3]*xxB[3][0];
array[0][1] = xxA[0][0]*xxB[0][1] + xxA[0][1]*xxB[1][1] +
xxA[0][2]*xxB[2][1] + xxA[0][3]*xxB[3][1];
array[1][1] = xxA[1][0]*xxB[0][1] + xxA[1][1]*xxB[1][1] +
xxA[1][2]*xxB[2][1] + xxA[1][3]*xxB[3][1];
array[2][1] = xxA[2][0]*xxB[0][1] + xxA[2][1]*xxB[1][1] +
xxA[2][2]*xxB[2][1] + xxA[2][3]*xxB[3][1];
array[3][1] = xxA[3][0]*xxB[0][1] + xxA[3][1]*xxB[1][1] +
xxA[3][2]*xxB[2][1] + xxA[3][3]*xxB[3][1];
array[0][2] = xxA[0][0]*xxB[0][2] + xxA[0][1]*xxB[1][2] +
xxA[0][2]*xxB[2][2] + xxA[0][3]*xxB[3][2];
array[1][2] = xxA[1][0]*xxB[0][2] + xxA[1][1]*xxB[1][2] +
xxA[1][2]*xxB[2][2] + xxA[1][3]*xxB[3][2];
array[2][2] = xxA[2][0]*xxB[0][2] + xxA[2][1]*xxB[1][2] +
xxA[2][2]*xxB[2][2] + xxA[2][3]*xxB[3][2];
array[3][2] = xxA[3][0]*xxB[0][2] + xxA[3][1]*xxB[1][2] +
xxA[3][2]*xxB[2][2] + xxA[3][3]*xxB[3][2];
array[0][3] = xxA[0][0]*xxB[0][3] + xxA[0][1]*xxB[1][3] +
xxA[0][2]*xxB[2][3] + xxA[0][3]*xxB[3][3];
array[1][3] = xxA[1][0]*xxB[0][3] + xxA[1][1]*xxB[1][3] +
xxA[1][2]*xxB[2][3] + xxA[1][3]*xxB[3][3];
array[2][3] = xxA[2][0]*xxB[0][3] + xxA[2][1]*xxB[1][3] +
xxA[2][2]*xxB[2][3] + xxA[2][3]*xxB[3][3];
array[3][3] = xxA[3][0]*xxB[0][3] + xxA[3][1]*xxB[1][3] +
xxA[3][2]*xxB[2][3] + xxA[3][3]*xxB[3][3];
}
void
vectorMatrix4(float xxD[4],float xxE[4][4],float xxF[4])
{
xxF[0]= xxD[0]*xxE[0][0] + xxD[1]*xxE[1][0] + xxD[2]*xxE[2][0] + xxD[3]*xxE[3][0];
xxF[1]= xxD[0]*xxE[0][1] + xxD[1]*xxE[1][1] + xxD[2]*xxE[2][1] + xxD[3]*xxE[3][1];
xxF[2]= xxD[0]*xxE[0][2] + xxD[1]*xxE[1][2] + xxD[2]*xxE[2][2] + xxD[3]*xxE[3][2];
xxF[3]= xxD[0]*xxE[0][3] + xxD[1]*xxE[1][3] + xxD[2]*xxE[2][3] + xxD[3]*xxE[3][3];
}
void
ROTATE(float xxR[4][4])
{
xxR[0][0]= -(cosTheta); xxR[0][1]= -(-sinTheta*cosPhi); xxR[0][2]= -(sinTheta*sinPhi); xxR[0][3]= 0.0;
xxR[1][0]= -(sinTheta); xxR[1][1]= -(cosTheta*cosPhi); xxR[1][2]= -(-cosTheta*sinPhi); xxR[1][3]= 0.0;
xxR[2][0]= 0.0; xxR[2][1]= -(sinPhi); xxR[2][2]= -(cosPhi); xxR[2][3]= 0.0;
xxR[3][0]= 0.0; xxR[3][1]= 0.0; xxR[3][2]= 0.0; xxR[3][3]= -(1.0);
}
void
ROTATE1(float xxR[4][4])
{
xxR[0][0]= (cosTheta); xxR[0][1]= (-sinTheta*cosPhi); xxR[0][2]= (sinTheta*sinPhi); xxR[0][3]= 0.0;
xxR[1][0]= (sinTheta); xxR[1][1]= (cosTheta*cosPhi); xxR[1][2]= (-cosTheta*sinPhi); xxR[1][3]= 0.0;
xxR[2][0]= 0.0; xxR[2][1]= (sinPhi); xxR[2][2]= (cosPhi); xxR[2][3]= 0.0;
xxR[3][0]= 0.0; xxR[3][1]= 0.0; xxR[3][2]= 0.0; xxR[3][3]= (1.0);
}
void
SCALE(float x,float y,float z,float xxS[4][4])
{
xxS[0][0] = x; xxS[0][1] = 0.0; xxS[0][2] = 0.0; xxS[0][3] = 0.0;
xxS[1][0] = 0.0; xxS[1][1] = y; xxS[1][2] = 0.0; xxS[1][3] = 0.0;
xxS[2][0] = 0.0; xxS[2][1] = 0.0; xxS[2][2] = z; xxS[2][3] = 0.0;
xxS[3][0] = 0.0; xxS[3][1] = 0.0; xxS[3][2] = 0.0; xxS[3][3] = 1.0;
}
void
TRANSLATE(float x,float y,float z,float xxT[4][4])
{
xxT[0][0] = 1.0; xxT[0][1] = 0.0; xxT[0][2] = 0.0; xxT[0][3] = 0.0;
xxT[1][0] = 0.0; xxT[1][1] = 1.0; xxT[1][2] = 0.0; xxT[1][3] = 0.0;
xxT[2][0] = 0.0; xxT[2][1] = 0.0; xxT[2][2] = -1.0; xxT[2][3] = 0.0;
xxT[3][0] = x; xxT[3][1] = y; xxT[3][2] = z; xxT[3][3] = 1.0;
}
|
