1 | /* |
---|
2 | |
---|
3 | Brian Curless |
---|
4 | |
---|
5 | Computer Graphics Laboratory |
---|
6 | Stanford University |
---|
7 | |
---|
8 | --------------------------------------------------------------------- |
---|
9 | |
---|
10 | Copyright (1997) The Board of Trustees of the Leland Stanford Junior |
---|
11 | University. Except for commercial resale, lease, license or other |
---|
12 | commercial transactions, permission is hereby given to use, copy, |
---|
13 | modify this software for academic purposes only. No part of this |
---|
14 | software or any derivatives thereof may be used in the production of |
---|
15 | computer models for resale or for use in a commercial |
---|
16 | product. STANFORD MAKES NO REPRESENTATIONS OR WARRANTIES OF ANY KIND |
---|
17 | CONCERNING THIS SOFTWARE. No support is implied or provided. |
---|
18 | |
---|
19 | */ |
---|
20 | |
---|
21 | #include "defines.h" |
---|
22 | #include "Matrix2f.h" |
---|
23 | #include <math.h> |
---|
24 | #include <stdio.h> |
---|
25 | #include <unistd.h> |
---|
26 | |
---|
27 | /*#include "NR.h"*/ |
---|
28 | |
---|
29 | void |
---|
30 | Matrix2f::setValue(float a[][2]) |
---|
31 | { |
---|
32 | m[0][0] = a[0][0]; m[0][1] = a[0][1]; |
---|
33 | m[1][0] = a[1][0]; m[1][1] = a[1][1]; |
---|
34 | } |
---|
35 | |
---|
36 | void |
---|
37 | Matrix2f::setValue(const Matrix2f &a) |
---|
38 | { |
---|
39 | m[0][0] = a.m[0][0]; m[0][1] = a.m[0][1]; |
---|
40 | m[1][0] = a.m[1][0]; m[1][1] = a.m[1][1]; |
---|
41 | } |
---|
42 | |
---|
43 | void |
---|
44 | Matrix2f::setValue(float *a0, float *a1) |
---|
45 | { |
---|
46 | m[0][0] = a0[0]; m[0][1] = a0[1]; |
---|
47 | m[1][0] = a1[0]; m[1][1] = a1[1]; |
---|
48 | } |
---|
49 | |
---|
50 | void |
---|
51 | Matrix2f::setValue(float a00, float a01, float a10, float a11) |
---|
52 | { |
---|
53 | m[0][0] = a00; m[0][1] = a01; |
---|
54 | m[1][0] = a10; m[1][1] = a11; |
---|
55 | } |
---|
56 | |
---|
57 | |
---|
58 | void |
---|
59 | Matrix2f::multArray(float *in, float *out) |
---|
60 | { |
---|
61 | out[0] = m[0][0] * in[0] + m[0][1] * in[1]; |
---|
62 | out[1] = m[1][0] * in[0] + m[1][1] * in[1]; |
---|
63 | } |
---|
64 | |
---|
65 | void |
---|
66 | Matrix2f::setScale(float s) |
---|
67 | { |
---|
68 | setScale(s, s); |
---|
69 | } |
---|
70 | |
---|
71 | |
---|
72 | void |
---|
73 | Matrix2f::setScale(float sx, float sy) |
---|
74 | { |
---|
75 | m[0][0] = sx; m[0][1] = 0; |
---|
76 | m[1][0] = 0; m[1][1] = sy; |
---|
77 | } |
---|
78 | |
---|
79 | void |
---|
80 | Matrix2f::makeIdentity() |
---|
81 | { |
---|
82 | setValue(1,0, |
---|
83 | 0,1); |
---|
84 | } |
---|
85 | |
---|
86 | |
---|
87 | Matrix2f |
---|
88 | Matrix2f::inverse() const |
---|
89 | { |
---|
90 | Matrix2f result; |
---|
91 | int i, j, k; |
---|
92 | double temp; |
---|
93 | double bigm[4][2]; |
---|
94 | /* Declare identity matrix */ |
---|
95 | |
---|
96 | result.makeIdentity(); |
---|
97 | for (i = 0; i < 2; i++) { |
---|
98 | for (j = 0; j < 2; j++) { |
---|
99 | bigm[i][j] = m[i][j]; |
---|
100 | bigm[i+2][j] = result.m[i][j]; |
---|
101 | } |
---|
102 | } |
---|
103 | |
---|
104 | /* Work across by columns */ |
---|
105 | for (i = 0; i < 2; i++) { |
---|
106 | for (j = i; (bigm[i][j] == 0.0) && (j < 2); j++) |
---|
107 | ; |
---|
108 | if (j == 2) { |
---|
109 | fprintf (stderr, "error: cannot do inverse matrix\n"); |
---|
110 | exit (2); |
---|
111 | } |
---|
112 | else if (i != j) { |
---|
113 | for (k = 0; k < 4; k++) { |
---|
114 | temp = bigm[k][i]; |
---|
115 | bigm[k][i] = bigm[k][j]; |
---|
116 | bigm[k][j] = temp; |
---|
117 | } |
---|
118 | } |
---|
119 | |
---|
120 | /* Divide original row */ |
---|
121 | for (j = 3; j >= i; j--) |
---|
122 | bigm[j][i] /= bigm[i][i]; |
---|
123 | |
---|
124 | /* Subtract other rows */ |
---|
125 | for (j = 0; j < 2; j++) |
---|
126 | if (i != j) |
---|
127 | for (k = 3; k >= i; k--) |
---|
128 | bigm[k][j] -= bigm[k][i] * bigm[i][j]; |
---|
129 | } |
---|
130 | |
---|
131 | for (i = 0; i < 2; i++) |
---|
132 | for (j = 0; j < 2; j++) |
---|
133 | result.m[i][j] = bigm[i+2][j]; |
---|
134 | |
---|
135 | return result; |
---|
136 | } |
---|
137 | |
---|
138 | |
---|
139 | |
---|
140 | /* |
---|
141 | Matrix2f |
---|
142 | Matrix2f::inverse() const |
---|
143 | { |
---|
144 | Matrix2f temp, result; |
---|
145 | int i; |
---|
146 | |
---|
147 | temp.setValue(*this); |
---|
148 | float *nrmat[2]; |
---|
149 | |
---|
150 | toNR(temp, nrmat); |
---|
151 | |
---|
152 | // See NRC book |
---|
153 | float d, col[2]; |
---|
154 | int indx[2]; |
---|
155 | ludcmp(nrmat-1, 2, indx-1, &d); |
---|
156 | for (int j = 0; j < 2; j++) { |
---|
157 | for (i = 0; i < 2; i++) col[i] = 0; |
---|
158 | col[j] = 1.0; |
---|
159 | lubksb(nrmat-1, 2, indx-1, col-1); |
---|
160 | for(i = 0; i < 2; i++) result.m[i][j] = col[i]; |
---|
161 | } |
---|
162 | |
---|
163 | return Matrix2f(result); |
---|
164 | } |
---|
165 | |
---|
166 | |
---|
167 | void |
---|
168 | Matrix2f::toNR(Matrix2f &in, float **nrmat) const |
---|
169 | { |
---|
170 | nrmat[0] = in.m[0] - 1; |
---|
171 | nrmat[1] = in.m[1] - 1; |
---|
172 | } |
---|
173 | */ |
---|
174 | |
---|