Mercurial > gemma

annotate cmd/octree2contour/vertex.go @ 718:c0bba602b60e octree

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octree: define a type for LineStringZ.
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Fri, 21 Sep 2018 14:47:44 +0200
parents 614135d69823
children 5af9ab39e715
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
674
120a82bd9953 octree: Added loading frame for contour generation.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
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1 package main
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2
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3 type vertex struct {
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4 x float64
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5 y float64
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6 z float64
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7 }
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8
120a82bd9953 octree: Added loading frame for contour generation.
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9 func (v *vertex) minimize(w vertex) {
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10 if w.x < v.x {
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11 v.x = w.x
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12 }
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13 if w.y < v.y {
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14 v.y = w.y
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15 }
120a82bd9953 octree: Added loading frame for contour generation.
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16 if w.z < v.z {
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17 v.z = w.z
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18 }
120a82bd9953 octree: Added loading frame for contour generation.
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19 }
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20
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21 func (v *vertex) maximize(w vertex) {
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22 if w.x > v.x {
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23 v.x = w.x
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24 }
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25 if w.y > v.y {
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26 v.y = w.y
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27 }
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28 if w.z > v.z {
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29 v.z = w.z
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30 }
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31 }
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32
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33 func (v vertex) sub(w vertex) vertex {
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34 return vertex{
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35 v.x - w.x,
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36 v.y - w.y,
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37 v.z - w.z,
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38 }
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39 }
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40
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41 func (v vertex) add(w vertex) vertex {
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42 return vertex{
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43 v.x + w.x,
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44 v.y + w.y,
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45 v.z + w.z,
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parents: 674
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46 }
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
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parents: 674
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47 }
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
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48
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49 func (v vertex) scale(s float64) vertex {
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50 return vertex{
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51 s * v.x,
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52 s * v.y,
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53 s * v.z,
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54 }
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parents: 674
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55 }
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56
674
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57 func interpolate(v1, v2 vertex) func(vertex) vertex {
120a82bd9953 octree: Added loading frame for contour generation.
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58 v2 = v2.sub(v1)
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59 return func(s vertex) vertex {
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60 return vertex{
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61 v2.x*s.x + v1.x,
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62 v2.y*s.y + v1.y,
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63 v2.z*s.z + v1.z,
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64 }
120a82bd9953 octree: Added loading frame for contour generation.
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65 }
120a82bd9953 octree: Added loading frame for contour generation.
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66 }
120a82bd9953 octree: Added loading frame for contour generation.
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67
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68 func (a vertex) less(b vertex) bool {
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69 return a.x < b.x || a.y < b.y || a.z < b.z
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70 }
687
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71
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72 type line [2]vertex
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73
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74 func newLine(p1, p2 vertex) line {
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75 return line{
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76 p2.sub(p1),
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77 p1,
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parents: 674
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78 }
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parents: 674
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79 }
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80
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81 func (l line) eval(t float64) vertex {
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82 return l[0].scale(t).add(l[1])
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83 }
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84
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85 func (l line) intersectH(h float64) vertex {
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86 t := (h - l[1].z) / l[0].z
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87 return l.eval(t)
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88 }
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89
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90 type triangle [3]vertex
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91
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92 func side(z, h float64) int {
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93 switch {
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94 case z < h:
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95 return -1
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96 case z > h:
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97 return +1
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98 }
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99 return 0
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100 }
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101
718
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102 func (t *triangle) intersectH(h float64) lineStringZ {
687
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103 sides := [3]int{
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104 side(t[0].z, h),
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105 side(t[1].z, h),
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106 side(t[2].z, h),
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107 }
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108
718
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109 var points lineStringZ
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110
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111 for i := 0; i < 3; i++ {
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112 j := (i + 1) % 3
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113 si := sides[i]
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114 sj := sides[j]
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115
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116 switch {
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117 case si == 0 && sj == 0:
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118 // both on plane
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119 points = append(points, t[i], t[j])
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120 case si == 0 && sj != 0:
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
121 // first on plane
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
122 points = append(points, t[i])
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
123 case si != 0 && sj == 0:
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
124 // second on plane
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
125 points = append(points, t[j])
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
126 case si == sj:
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
127 // both on same side
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
128 default:
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
129 // real intersection
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
130 v := newLine(t[i], t[j]).intersectH(h)
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
131 points = append(points, v)
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
132 }
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
133 }
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
134
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
135 return points
be90ab542aa7 octree: contouring: Do the math to calculate the intersection points of the triangles and the planes.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 674
diff changeset
136 }