1e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen/*
2e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * Copyright (C) 2011 The Android Open Source Project
3e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen *
4e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * Licensed under the Apache License, Version 2.0 (the "License");
5e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * you may not use this file except in compliance with the License.
6e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * You may obtain a copy of the License at
7e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen *
8e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen *      http://www.apache.org/licenses/LICENSE-2.0
9e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen *
10e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * Unless required by applicable law or agreed to in writing, software
11e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * distributed under the License is distributed on an "AS IS" BASIS,
12e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * See the License for the specific language governing permissions and
14e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen * limitations under the License.
15e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen */
16e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
17e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// trsMatrix.cpp
18e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// $Id: trsMatrix.cpp,v 1.9 2011/06/17 13:35:48 mbansal Exp $
19e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
20e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen#include "stdio.h"
21e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen#include <math.h>
22e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen#include "trsMatrix.h"
23e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
24e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chenvoid mult33d(double a[3][3], double b[3][3], double c[3][3])
25e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen{
26e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[0][0] = b[0][0]*c[0][0] + b[0][1]*c[1][0] + b[0][2]*c[2][0];
27e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[0][1] = b[0][0]*c[0][1] + b[0][1]*c[1][1] + b[0][2]*c[2][1];
28e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[0][2] = b[0][0]*c[0][2] + b[0][1]*c[1][2] + b[0][2]*c[2][2];
29e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[1][0] = b[1][0]*c[0][0] + b[1][1]*c[1][0] + b[1][2]*c[2][0];
30e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[1][1] = b[1][0]*c[0][1] + b[1][1]*c[1][1] + b[1][2]*c[2][1];
31e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[1][2] = b[1][0]*c[0][2] + b[1][1]*c[1][2] + b[1][2]*c[2][2];
32e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[2][0] = b[2][0]*c[0][0] + b[2][1]*c[1][0] + b[2][2]*c[2][0];
33e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[2][1] = b[2][0]*c[0][1] + b[2][1]*c[1][1] + b[2][2]*c[2][1];
34e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    a[2][2] = b[2][0]*c[0][2] + b[2][1]*c[1][2] + b[2][2]*c[2][2];
35e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen}
36e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
37e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
38e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// normProjMat33d
39e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// m = input matrix
40e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// return: result if successful
41e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chenint normProjMat33d(double m[3][3])
42e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen{
43e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    double m22;
44e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
45e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    if(m[2][2] == 0.0)
46e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen        {
47e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen        return 0;
48e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen}
49e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
50e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[0][0] /= m[2][2];
51e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[0][1] /= m[2][2];
52e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[0][2] /= m[2][2];
53e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[1][0] /= m[2][2];
54e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[1][1] /= m[2][2];
55e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[1][2] /= m[2][2];
56e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[2][0] /= m[2][2];
57e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[2][1] /= m[2][2];
58e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    m[2][2] = 1.0;
59e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
60e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    return 1;
61e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen}
62e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
63e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// det33d
64e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// m = input matrix
65e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// returns: determinant
66e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chendouble det33d(const double m[3][3])
67e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen{
68e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    double result;
69e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
70e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    result  = m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1]);
71e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    result += m[0][1] * (m[1][2] * m[2][0] - m[1][0] * m[2][2]);
72e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    result += m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0]);
73e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
74e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    return result;
75e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen}
76e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
77e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen// inv33d
78e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen//
79e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chenvoid inv33d(const double m[3][3], double out[3][3])
80e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen{
81e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    double det = det33d(m);
82e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
83e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[0][0] = (m[1][1]*m[2][2] - m[1][2]*m[2][1]) / det;
84e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[1][0] = (m[1][2]*m[2][0] - m[1][0]*m[2][2]) / det;
85e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[2][0] = (m[1][0]*m[2][1] - m[1][1]*m[2][0]) / det;
86e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
87e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[0][1] = (m[0][2]*m[2][1] - m[0][1]*m[2][2]) / det;
88e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[1][1] = (m[0][0]*m[2][2] - m[0][2]*m[2][0]) / det;
89e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[2][1] = (m[0][1]*m[2][0] - m[0][0]*m[2][1]) / det;
90e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen
91e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[0][2] = (m[0][1]*m[1][2] - m[0][2]*m[1][1]) / det;
92e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[1][2] = (m[0][2]*m[1][0] - m[0][0]*m[1][2]) / det;
93e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen    out[2][2] = (m[0][0]*m[1][1] - m[0][1]*m[1][0]) / det;
94e295e32b68cf04f0d99138bf4a6d25555f3aef99Wei-Ta Chen}
95