nucleation 0.7.0

A high-performance Minecraft schematic parser and utility library
Documentation 
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

use super::{ParametricShape, Shape};

#[derive(Clone)]
pub struct Cone {
    pub apex: (f64, f64, f64),
    pub axis: (f64, f64, f64),
    pub base_radius: f64,
    pub height: f64,
    axis_len: f64,
}

impl Cone {
    pub fn new(
        apex: (f64, f64, f64),
        axis: (f64, f64, f64),
        base_radius: f64,
        height: f64,
    ) -> Self {
        let axis_len = (axis.0 * axis.0 + axis.1 * axis.1 + axis.2 * axis.2).sqrt();
        Self {
            apex,
            axis,
            base_radius,
            height,
            axis_len,
        }
    }

    fn normalized_axis(&self) -> (f64, f64, f64) {
        if self.axis_len == 0.0 {
            (0.0, 1.0, 0.0)
        } else {
            (
                self.axis.0 / self.axis_len,
                self.axis.1 / self.axis_len,
                self.axis.2 / self.axis_len,
            )
        }
    }

    fn project(&self, x: i32, y: i32, z: i32) -> (f64, f64) {
        let ax = self.normalized_axis();
        let dx = x as f64 - self.apex.0;
        let dy = y as f64 - self.apex.1;
        let dz = z as f64 - self.apex.2;
        // Axial distance from apex along axis direction
        let axial = dx * ax.0 + dy * ax.1 + dz * ax.2;
        let rx = dx - axial * ax.0;
        let ry = dy - axial * ax.1;
        let rz = dz - axial * ax.2;
        let radial = (rx * rx + ry * ry + rz * rz).sqrt();
        (axial, radial)
    }
}

impl Shape for Cone {
    fn contains(&self, x: i32, y: i32, z: i32) -> bool {
        let (axial, radial) = self.project(x, y, z);
        if axial < 0.0 || axial > self.height {
            return false;
        }
        // Radius linearly tapers from 0 at apex to base_radius at height
        let allowed_radius = self.base_radius * (axial / self.height);
        radial <= allowed_radius
    }

    fn points(&self) -> Vec<(i32, i32, i32)> {
        let mut points = Vec::new();
        self.for_each_point(|x, y, z| points.push((x, y, z)));
        points
    }

    fn normal_at(&self, x: i32, y: i32, z: i32) -> (f64, f64, f64) {
        let ax = self.normalized_axis();
        let dx = x as f64 - self.apex.0;
        let dy = y as f64 - self.apex.1;
        let dz = z as f64 - self.apex.2;
        let axial = dx * ax.0 + dy * ax.1 + dz * ax.2;
        let rx = dx - axial * ax.0;
        let ry = dy - axial * ax.1;
        let rz = dz - axial * ax.2;
        let radial = (rx * rx + ry * ry + rz * rz).sqrt();
        if radial == 0.0 {
            ax
        } else {
            // Normal tilts outward from the surface
            let slope = self.base_radius / self.height;
            let nr = 1.0;
            let na = -slope;
            let len = (nr * nr + na * na).sqrt();
            let radial_dir = (rx / radial, ry / radial, rz / radial);
            let nx = radial_dir.0 * (nr / len) + ax.0 * (na / len);
            let ny = radial_dir.1 * (nr / len) + ax.1 * (na / len);
            let nz = radial_dir.2 * (nr / len) + ax.2 * (na / len);
            (nx, ny, nz)
        }
    }

    fn bounds(&self) -> (i32, i32, i32, i32, i32, i32) {
        let ax = self.normalized_axis();
        let base_center = (
            self.apex.0 + ax.0 * self.height,
            self.apex.1 + ax.1 * self.height,
            self.apex.2 + ax.2 * self.height,
        );
        let r = self.base_radius.ceil() as i32 + 1;
        let min_x = (self.apex.0.min(base_center.0)).floor() as i32 - r;
        let min_y = (self.apex.1.min(base_center.1)).floor() as i32 - r;
        let min_z = (self.apex.2.min(base_center.2)).floor() as i32 - r;
        let max_x = (self.apex.0.max(base_center.0)).ceil() as i32 + r;
        let max_y = (self.apex.1.max(base_center.1)).ceil() as i32 + r;
        let max_z = (self.apex.2.max(base_center.2)).ceil() as i32 + r;
        (min_x, min_y, min_z, max_x, max_y, max_z)
    }

    fn for_each_point<F>(&self, mut f: F)
    where
        F: FnMut(i32, i32, i32),
    {
        let (min_x, min_y, min_z, max_x, max_y, max_z) = self.bounds();
        for x in min_x..=max_x {
            for y in min_y..=max_y {
                for z in min_z..=max_z {
                    if self.contains(x, y, z) {
                        f(x, y, z);
                    }
                }
            }
        }
    }
}

impl ParametricShape for Cone {
    fn parameter_at(&self, x: i32, y: i32, z: i32) -> f64 {
        let (axial, _) = self.project(x, y, z);
        if self.height == 0.0 {
            0.0
        } else {
            (axial / self.height).clamp(0.0, 1.0)
        }
    }
}