annotate cmd/tin2octree/vertex.go @ 661:af1d4d44a88a octree

Experimental tin octree indexer.
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Tue, 18 Sep 2018 00:11:32 +0200
parents
children be0327dc3119
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
661
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
1 package main
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
2
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
3 import "math"
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
4
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
5 type vertex struct {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
6 x float64
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
7 y float64
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
8 z float64
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
9 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
10
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
11 func (v *vertex) minimize(w vertex) {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
12 if w.x < v.x {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
13 v.x = w.x
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
14 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
15 if w.y < v.y {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
16 v.y = w.y
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
17 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
18 if w.z < v.z {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
19 v.z = w.z
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
20 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
21 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
22
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
23 func (v *vertex) maximize(w vertex) {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
24 if w.x > v.x {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
25 v.x = w.x
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
26 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
27 if w.y > v.y {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
28 v.y = w.y
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
29 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
30 if w.z > v.z {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
31 v.z = w.z
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
32 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
33 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
34
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
35 type plane struct {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
36 a float64
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
37 b float64
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
38 c float64
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
39 d float64
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
40 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
41
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
42 func (a vertex) cross(b vertex) vertex {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
43 return vertex{
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
44 a.y*b.z - a.z*b.y,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
45 a.z*b.x - a.x*b.z,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
46 a.x*b.y - a.y*b.x,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
47 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
48 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
49
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
50 func (a vertex) sub(b vertex) vertex {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
51 return vertex{
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
52 a.x - b.x,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
53 a.y - b.y,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
54 a.z - b.z,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
55 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
56 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
57
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
58 func (a vertex) scale(s float64) vertex {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
59 return vertex{
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
60 s * a.x,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
61 s * a.y,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
62 s * a.z,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
63 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
64 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
65
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
66 func (a vertex) dot(b vertex) float64 {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
67 return a.x*b.x + a.y*b.y + a.z*b.z
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
68 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
69
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
70 func (a vertex) length() float64 {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
71 return math.Sqrt(a.x*a.x + a.y*a.y + a.z*a.z)
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
72 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
73
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
74 func newPlane(v1, v2, v3 vertex) plane {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
75 w1 := v2.sub(v1)
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
76 w2 := v3.sub(v1)
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
77 p := w1.cross(w2)
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
78 p = p.scale(1 / p.length())
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
79
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
80 // x*p.x + y*p.y + z*p.z + d = 0
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
81 // d = -(x*p.x + y*p.y + z*p.z)
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
82 d := -p.dot(v1)
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
83 return plane{
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
84 a: p.x,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
85 b: p.y,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
86 c: p.z,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
87 d: d,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
88 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
89 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
90
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
91 func (p plane) eval(v vertex) float64 {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
92 return p.a*v.x + p.b*v.y + p.c*v.z + p.d
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
93 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
94
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
95 func interpolate(v1, v2 vertex) func(vertex) vertex {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
96 return func(s vertex) vertex {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
97 return vertex{
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
98 (v2.x-v1.x)*s.x + v1.x,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
99 (v2.y-v1.y)*s.y + v1.y,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
100 (v2.z-v1.z)*s.z + v1.z,
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
101 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
102 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
103 }
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
104
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
105 func (a vertex) less(b vertex) bool {
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
106 return a.x < b.x || a.y < b.y || a.z < b.z
af1d4d44a88a Experimental tin octree indexer.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
107 }