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
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
|
package de.lmu.ifi.dbs.elki.visualization.projections;
import de.lmu.ifi.dbs.elki.data.NumberVector;
import de.lmu.ifi.dbs.elki.math.linearalgebra.Vector;
import de.lmu.ifi.dbs.elki.math.scales.LinearScale;
/*
This file is part of ELKI:
Environment for Developing KDD-Applications Supported by Index-Structures
Copyright (C) 2013
Ludwig-Maximilians-Universität München
Lehr- und Forschungseinheit für Datenbanksysteme
ELKI Development Team
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU Affero General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Affero General Public License for more details.
You should have received a copy of the GNU Affero General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
/**
* Abstract base class for full projections.
*
* Note: the full projection API may be removed at some point, unless we find a
* clear use case that cannot be done by the low level fast projections.
*
* @author Erich Schubert
*/
public abstract class AbstractFullProjection extends AbstractProjection implements FullProjection {
/**
* Constructor.
*
* @param scales Scales
*/
public AbstractFullProjection(LinearScale[] scales) {
super(scales);
}
/**
* Project a data vector from data space to scaled space.
*
* @param data vector in data space
* @return vector in scaled space
*/
@Override
public Vector projectDataToScaledSpace(NumberVector<?> data) {
final int dim = data.getDimensionality();
Vector vec = new Vector(dim);
double[] ds = vec.getArrayRef();
for(int d = 0; d < dim; d++) {
ds[d] = scales[d].getScaled(data.doubleValue(d));
}
return vec;
}
/**
* Project a data vector from data space to scaled space.
*
* @param data vector in data space
* @return vector in scaled space
*/
@Override
public Vector projectDataToScaledSpace(Vector data) {
double[] src = data.getArrayRef();
final int dim = src.length;
double[] dst = new double[dim];
for(int d = 0; d < dim; d++) {
dst[d] = scales[d].getScaled(src[d]);
}
return new Vector(dst);
}
/**
* Project a relative data vector from data space to scaled space.
*
* @param data relative vector in data space
* @return relative vector in scaled space
*/
@Override
public Vector projectRelativeDataToScaledSpace(NumberVector<?> data) {
final int dim = data.getDimensionality();
Vector vec = new Vector(dim);
double[] ds = vec.getArrayRef();
for(int d = 0; d < dim; d++) {
ds[d] = scales[d].getRelativeScaled(data.doubleValue(d));
}
return vec;
}
/**
* Project a relative data vector from data space to scaled space.
*
* @param data relative vector in data space
* @return relative vector in scaled space
*/
@Override
public Vector projectRelativeDataToScaledSpace(Vector data) {
double[] src = data.getArrayRef();
final int dim = src.length;
double[] dst = new double[dim];
for(int d = 0; d < dim; d++) {
dst[d] = scales[d].getRelativeScaled(src[d]);
}
return new Vector(dst);
}
/**
* Project a data vector from data space to rendering space.
*
* @param data vector in data space
* @return vector in rendering space
*/
@Override
public Vector projectDataToRenderSpace(NumberVector<?> data) {
return projectScaledToRender(projectDataToScaledSpace(data));
}
/**
* Project a data vector from data space to rendering space.
*
* @param data vector in data space
* @return vector in rendering space
*/
@Override
public Vector projectDataToRenderSpace(Vector data) {
return projectScaledToRender(projectDataToScaledSpace(data));
}
/**
* Project a relative data vector from data space to rendering space.
*
* @param data relative vector in data space
* @return relative vector in rendering space
*/
@Override
public Vector projectRelativeDataToRenderSpace(NumberVector<?> data) {
return projectRelativeScaledToRender(projectRelativeDataToScaledSpace(data));
}
/**
* Project a relative data vector from data space to rendering space.
*
* @param data relative vector in data space
* @return relative vector in rendering space
*/
@Override
public Vector projectRelativeDataToRenderSpace(Vector data) {
return projectRelativeScaledToRender(projectRelativeDataToScaledSpace(data));
}
/**
* Project a vector from scaled space to data space.
*
* @param <NV> Vector type
* @param v vector in scaled space
* @param factory Object factory
* @return vector in data space
*/
@Override
public <NV extends NumberVector<?>> NV projectScaledToDataSpace(Vector v, NumberVector.Factory<NV, ?> factory) {
final int dim = v.getDimensionality();
Vector vec = v.copy();
double[] ds = vec.getArrayRef();
for(int d = 0; d < dim; d++) {
ds[d] = scales[d].getUnscaled(ds[d]);
}
return factory.newNumberVector(vec.getArrayRef());
}
/**
* Project a vector from rendering space to data space.
*
* @param <NV> Vector type
* @param v vector in rendering space
* @param prototype Object factory
* @return vector in data space
*/
@Override
public <NV extends NumberVector<?>> NV projectRenderToDataSpace(Vector v, NumberVector.Factory<NV, ?> prototype) {
final int dim = v.getDimensionality();
Vector vec = projectRenderToScaled(v);
double[] ds = vec.getArrayRef();
// Not calling {@link #projectScaledToDataSpace} to avoid extra copy of
// vector.
for(int d = 0; d < dim; d++) {
ds[d] = scales[d].getUnscaled(ds[d]);
}
return prototype.newNumberVector(vec.getArrayRef());
}
/**
* Project a relative vector from scaled space to data space.
*
* @param <NV> Vector type
* @param v relative vector in scaled space
* @param prototype Object factory
* @return relative vector in data space
*/
@Override
public <NV extends NumberVector<?>> NV projectRelativeScaledToDataSpace(Vector v, NumberVector.Factory<NV, ?> prototype) {
final int dim = v.getDimensionality();
Vector vec = v.copy();
double[] ds = vec.getArrayRef();
for(int d = 0; d < dim; d++) {
ds[d] = scales[d].getRelativeUnscaled(ds[d]);
}
return prototype.newNumberVector(vec.getArrayRef());
}
/**
* Project a relative vector from rendering space to data space.
*
* @param <NV> Vector type
* @param v relative vector in rendering space
* @param prototype Object factory
* @return relative vector in data space
*/
@Override
public <NV extends NumberVector<?>> NV projectRelativeRenderToDataSpace(Vector v, NumberVector.Factory<NV, ?> prototype) {
final int dim = v.getDimensionality();
Vector vec = projectRelativeRenderToScaled(v);
double[] ds = vec.getArrayRef();
// Not calling {@link #projectScaledToDataSpace} to avoid extra copy of
// vector.
for(int d = 0; d < dim; d++) {
ds[d] = scales[d].getRelativeUnscaled(ds[d]);
}
return prototype.newNumberVector(vec.getArrayRef());
}
}
|
