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
|
#include "meowpp/dsa/KD_Tree.h"
#include "meowpp/utility.h"
#include "meowpp.h"
#include <vector>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include <ctime>
#include <queue>
static int N = 10000;
static int D = 5;
static double dist2(std::vector<double> const& v1, std::vector<double> const& v2){
double ret = 0;
for(int i = 0; i < D; i++){
ret += meow::squ(v1[i] - v2[i]);
}
return ret;
}
static std::vector< std::vector<double> > data;
static std::vector< double > dist;
static std::vector< int > order;
struct Answer{
double dist;
int id;
Answer(double _dist, int _id): dist(_dist), id(_id){ }
bool operator<(Answer const& b) const{
if(dist != b.dist) return (dist < b.dist);
return (id < b.id);
}
};
static void find(std::vector<double> const& v, int k){
std::priority_queue<Answer> qu;
for(int i = 0; i < k; i++){
qu.push(Answer(dist2(v, data[i]), i));
}
for(int i = k; i < N; i++){
qu.push(Answer(dist2(v, data[i]), i));
qu.pop();
}
order.resize(k);
for(int i = qu.size() - 1; i >= 0; i--){
order[i] = qu.top().id;
qu.pop();
}
}
static std::vector<double> v;
/*
static bool sf(const int& a, const int& b){
if(dist[a] != dist[b])
return (dist[a] < dist[b]);
return (a < b);
}
static void show(std::vector<double> const& ask, std::vector<int> kd, std::vector<int> me, int k){
if(N <= 30 && D <= 3){
printf("\nData:\n");
for(int i = 0; i < N; i++){
printf(" %2d) <", i);
for(int j = 0; j < D; j++){
printf("%.7f", data[i][j]);
if(j < D - 1) printf(", ");
else printf(">");
}
printf("\n");
}
printf("Ask <");
for(int j = 0; j < D; j++){
printf("%.7f", ask[j]);
if(j < D - 1) printf(", ");
else printf(">");
}
printf("\n");
printf("MyAnswer: ");
for(int i = 0; i < k; i++) printf("%d ", me[i]);
printf("\n");
printf("KdAnswer: ");
for(int i = 0; i < k; i++) printf("%d ", kd[i]);
printf("\n");
order.resize(N);
dist .resize(N);
for(int i = 0; i < N; i++){
dist [i] = dist2(ask, data[i]);
order[i] = i;
}
std::sort(order.begin(), order.end(), sf);
printf("Sorted:\n");
for(int i = 0; i < N; i++){
printf(" %2d) <", order[i]);
for(int j = 0; j < D; j++){
printf("%.7f", data[order[i]][j]);
if(j < D - 1) printf(", ");
else printf(">");
}
printf(" ((%.7f))", dist[order[i]]);
printf("\n");
}
}
}
// */
struct Node{
std::vector<double> v;
int id;
double& operator[](size_t d) { return v[d]; }
double operator[](size_t d) const { return v[d]; }
bool operator<(Node const& n) const{ return (id < n.id); }
};
TEST(KD_Tree, "It is very slow"){
int t0, t1, t2;
meow::KD_Tree<Node, double> tree(D);
meow::messagePrintf(1, "Create data (N = %d, D = %d)", N, D);
data.resize(N);
for(int i = 0; i < N; i++){
data[i].resize(D);
Node nd;
nd.v.resize(D);
nd.id = i;
for(int j = 0; j < D; j++){
data[i][j] = 12345.0 * (1.0 * rand() / RAND_MAX - 0.3);
nd[j] = data[i][j];
}
tree.insert(nd);
}
meow::messagePrintf(-1, "ok");
meow::messagePrintf(1, "build");
t0 = clock();
tree.build();
meow::messagePrintf(-1, "ok, %.3f seconds", (clock() - t0) * 1.0 / CLOCKS_PER_SEC);
meow::messagePrintf(1, "query...");
v.resize(D);
meow::KD_Tree<Node, double>::Vectors ret;
for(int k = 1; k <= std::min(100, N); k++){
meow::messagePrintf(1, "range k = %d", k);
t1 = t2 = 0;
for(int i = 0; i < 10; i++){
Node nd;
nd.v.resize(D);
for(int d = 0; d < D; d++){
v[d] = 12345.0 * (1.0 * rand() / RAND_MAX - 0.3);
nd[d] = v[d];
}
t0 = clock();
tree.build();
ret = tree.query(nd, k, true);
t1 += clock() - t0;
t0 = clock();
find(v, k);
t2 += clock() - t0;
if((int)ret.size() != (int)std::min(k, N)){
meow::messagePrintf(-1, "(%d)query fail, size error", i);
meow::messagePrintf(-1, "fail");
return false;
}
for(int kk = 1; kk <= k; kk++){
if(order[kk - 1] != ret[kk - 1].id){
//show(v, ret, order, k);
meow::messagePrintf(-1, "(%d)query fail", i);
meow::messagePrintf(-1, "fail");
return false;
}
}
}
meow::messagePrintf(-1, "ok %.3f/%.3f",
t1 * 1.0 / CLOCKS_PER_SEC,
t2 * 1.0 / CLOCKS_PER_SEC
);
}
meow::messagePrintf(-1, "ok");
return true;
};
|
