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
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
|
#include <GProp_PGProps.ixx>
#include <Standard_DomainError.hxx>
#include <Standard_DimensionError.hxx>
#include <gp.hxx>
#include <gp_XYZ.hxx>
//#include <gp.hxx>
typedef gp_Pnt Pnt;
typedef gp_Mat Mat;
typedef gp_XYZ XYZ;
typedef TColgp_Array1OfPnt Array1OfPnt;
typedef TColgp_Array2OfPnt Array2OfPnt;
typedef TColStd_Array1OfReal Array1OfReal;
typedef TColStd_Array2OfReal Array2OfReal;
GProp_PGProps::GProp_PGProps ()
{
g = gp::Origin();
loc = gp::Origin();
dim = 0.0;
}
void GProp_PGProps::AddPoint (const Pnt& P)
{
Standard_Real Xp, Yp, Zp;
P.Coord (Xp, Yp, Zp);
Standard_Real Ixy = - Xp * Yp;
Standard_Real Ixz = - Xp * Zp;
Standard_Real Iyz = - Yp * Zp;
Standard_Real Ixx = Yp * Yp + Zp * Zp;
Standard_Real Iyy = Xp * Xp + Zp * Zp;
Standard_Real Izz = Xp * Xp + Yp * Yp;
Mat Mp (XYZ (Ixx, Ixy, Ixz), XYZ (Ixy, Iyy, Iyz), XYZ (Ixz, Iyz, Izz));
if (dim == 0) {
dim = 1;
g = P;
inertia = Mp;
}
else {
Standard_Real X, Y, Z;
g.Coord (X, Y, Z);
X = X * dim + Xp;
Y = Y * dim + Yp;
Z = Z * dim + Zp;
dim = dim + 1;
X /= dim;
Y /= dim;
Z /= dim;
g.SetCoord (X, Y, Z);
inertia = inertia + Mp;
}
}
void GProp_PGProps::AddPoint (const gp_Pnt& P, const Standard_Real Density)
{
if (Density <= gp::Resolution()) Standard_DomainError::Raise();
Standard_Real Xp, Yp, Zp;
P.Coord (Xp, Yp, Zp);
Standard_Real Ixy = - Xp * Yp;
Standard_Real Ixz = - Xp * Zp;
Standard_Real Iyz = - Yp * Zp;
Standard_Real Ixx = Yp * Yp + Zp * Zp;
Standard_Real Iyy = Xp * Xp + Zp * Zp;
Standard_Real Izz = Xp * Xp + Yp * Yp;
Mat Mp (XYZ (Ixx, Ixy, Ixz), XYZ (Ixy, Iyy, Iyz), XYZ (Ixz, Iyz, Izz));
if (dim == 0) {
dim = Density;
g.SetXYZ (P.XYZ().Multiplied (Density));
inertia = Mp * Density;
}
else {
Standard_Real X, Y, Z;
g.Coord (X, Y, Z);
X = X * dim + Xp * Density;
Y = Y * dim + Yp * Density;
Z = Z * dim + Zp * Density;
dim = dim + Density;
X /= dim;
Y /= dim;
Z /= dim;
g.SetCoord (X, Y, Z);
inertia = inertia + Mp * Density;
}
}
GProp_PGProps::GProp_PGProps (const Array1OfPnt& Pnts)
{
for (Standard_Integer i = Pnts.Lower(); i <= Pnts.Upper(); i++) AddPoint(Pnts(i));
}
GProp_PGProps::GProp_PGProps (const Array2OfPnt& Pnts)
{
for (Standard_Integer j = Pnts.LowerCol(); j <= Pnts.UpperCol(); j++)
{
for (Standard_Integer i = Pnts.LowerRow(); i <= Pnts.UpperRow(); i++) AddPoint(Pnts (i, j));
}
}
GProp_PGProps::GProp_PGProps (const Array1OfPnt& Pnts,const Array1OfReal& Density)
{
if (Pnts.Length() != Density.Length()) Standard_DomainError::Raise();
Standard_Integer ip = Pnts.Lower();
Standard_Integer id = Density.Lower();
while (id <= Pnts.Upper()) {
Standard_Real D = Density (id);
if (D <= gp::Resolution()) Standard_DomainError::Raise();
AddPoint(Pnts (ip),D);
ip++; id++;
}
}
GProp_PGProps::GProp_PGProps (const Array2OfPnt& Pnts,const Array2OfReal& Density)
{
if (Pnts.ColLength() != Density.ColLength() || Pnts.RowLength() != Density.RowLength()) Standard_DomainError::Raise();
Standard_Integer ip = Pnts.LowerRow();
Standard_Integer id = Density.LowerRow();
Standard_Integer jp = Pnts.LowerCol();
Standard_Integer jd = Density.LowerCol();
while (jp <= Pnts.UpperCol()) {
while (ip <= Pnts.UpperRow()) {
Standard_Real D = Density (id, jd);
if (D <= gp::Resolution()) Standard_DomainError::Raise();
AddPoint(Pnts (ip, jp),D);
ip++; id++;
}
jp++; jd++;
}
}
void GProp_PGProps::Barycentre(const Array1OfPnt& Pnts,
const Array1OfReal& Density,
Standard_Real& Mass,
Pnt& G)
{
if (Pnts.Length() != Density.Length()) Standard_DimensionError::Raise();
Standard_Integer ip = Pnts.Lower();
Standard_Integer id = Density.Lower();
Mass = Density (id);
XYZ Gxyz = Pnts (ip).XYZ();
Gxyz.Multiply (Mass);
while (ip <= Pnts.Upper()) {
Mass = Mass + Density (id);
Gxyz.Add ( (Pnts(ip).XYZ()).Multiplied (Density (id)) );
ip++;
id++;
}
Gxyz.Divide (Mass);
G.SetXYZ (Gxyz);
}
void GProp_PGProps::Barycentre(const Array2OfPnt& Pnts,
const Array2OfReal& Density,
Standard_Real& Mass,
Pnt& G)
{
if (Pnts.RowLength() != Density.RowLength() || Pnts.ColLength() != Density.ColLength()) Standard_DimensionError::Raise();
Standard_Integer ip = Pnts.LowerRow();
Standard_Integer id = Density.LowerRow();
Standard_Integer jp = Pnts.LowerCol();
Standard_Integer jd = Density.LowerCol();
Mass = 0.0;
XYZ Gxyz (0.0, 0.0, 0.0);
while (jp <= Pnts.UpperCol()) {
while (ip <= Pnts.UpperRow()) {
Mass = Mass + Density (id, jd);
Gxyz.Add ((Pnts(ip, jp).XYZ()).Multiplied (Density (id, jd)));
ip++; id++;
}
jp++; jd++;
}
Gxyz.Divide (Mass);
G.SetXYZ (Gxyz);
}
Pnt GProp_PGProps::Barycentre (const Array1OfPnt& Pnts) {
XYZ Gxyz = Pnts (Pnts.Lower()).XYZ();
for (Standard_Integer i = Pnts.Lower() + 1; i <= Pnts.Upper(); i++) {
Gxyz.Add (Pnts(i).XYZ());
}
Gxyz.Divide (Pnts.Length());
return Pnt (Gxyz);
}
Pnt GProp_PGProps::Barycentre (const Array2OfPnt& Pnts) {
XYZ Gxyz (0.0, 0.0, 0.0);
for (Standard_Integer j = Pnts.LowerCol(); j <= Pnts.UpperCol(); j++) {
for (Standard_Integer i = Pnts.LowerRow(); i <= Pnts.UpperRow(); i++) {
Gxyz.Add (Pnts(i, j).XYZ());
}
}
Gxyz.Divide (Pnts.RowLength() * Pnts.ColLength());
return Pnt (Gxyz);
}
|
