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//! Butterfly diagram data generation
//!
//! Generates the data needed for 3D butterfly diagrams that show
//! light distribution from a top-down isometric view with all C-planes.
use super::color::{hsl_to_rgb, Color};
use super::{DiagramScale, IsometricProjection, Point2D};
use crate::{Eulumdat, Symmetry};
/// Data for a single C-plane: (c_angle, intensities for each gamma)
#[derive(Debug, Clone, PartialEq)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
pub struct CPlaneData {
/// C-plane angle in degrees
pub c_angle: f64,
/// Intensity values for each gamma angle
pub intensities: Vec<f64>,
}
/// A butterfly wing (one C-plane slice in the 3D diagram)
#[derive(Debug, Clone, PartialEq)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
pub struct ButterflyWing {
/// C-plane angle this wing represents
pub c_angle: f64,
/// Points forming the wing outline (in 3D-projected 2D space)
pub points: Vec<Point2D>,
/// Fill color for this wing
pub fill_color: Color,
/// Stroke color for this wing
pub stroke_color: Color,
}
impl ButterflyWing {
/// Convert to SVG path string
pub fn to_svg_path(&self) -> String {
if self.points.is_empty() {
return String::new();
}
let mut path = String::new();
for (i, point) in self.points.iter().enumerate() {
if i == 0 {
path.push_str(&format!("M {:.1} {:.1}", point.x, point.y));
} else {
path.push_str(&format!(" L {:.1} {:.1}", point.x, point.y));
}
}
path.push_str(" Z");
path
}
}
/// Complete butterfly diagram data
#[derive(Debug, Clone, PartialEq)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
pub struct ButterflyDiagram {
/// All butterfly wings (one per C-plane after expansion)
pub wings: Vec<ButterflyWing>,
/// Grid circles for the diagram (at horizontal plane)
pub grid_circles: Vec<Vec<Point2D>>,
/// C-plane direction lines with labels
pub c_plane_lines: Vec<(f64, Point2D, Point2D)>,
/// Scale information
pub scale: DiagramScale,
/// Expanded C-plane data (useful for other visualizations)
pub c_plane_data: Vec<CPlaneData>,
/// Gamma angles from source data
pub g_angles: Vec<f64>,
/// Symmetry type
pub symmetry: Symmetry,
}
impl ButterflyDiagram {
/// Generate butterfly diagram data from Eulumdat
///
/// # Arguments
/// * `ldt` - The Eulumdat data
/// * `width` - Output width in pixels
/// * `height` - Output height in pixels
/// * `tilt_degrees` - Viewing angle from above (60° is typical)
pub fn from_eulumdat(ldt: &Eulumdat, width: f64, height: f64, tilt_degrees: f64) -> Self {
let cx = width / 2.0;
let cy = height / 2.0 + 25.0; // Offset down slightly for labels
let margin = 70.0;
let max_radius = (width.min(height) / 2.0) - margin;
// Calculate max intensity
let max_intensity = ldt
.intensities
.iter()
.flat_map(|plane| plane.iter())
.copied()
.fold(0.0_f64, f64::max);
let scale = DiagramScale::from_max_intensity(max_intensity, 4);
// Create projection
let projection =
IsometricProjection::new(tilt_degrees, cx, cy, scale.scale_max, max_radius);
// Expand C-plane data based on symmetry
let c_plane_data = expand_c_planes(ldt);
// Generate wings
let wings = generate_wings(&c_plane_data, &ldt.g_angles, &projection);
// Generate grid circles
let grid_circles = generate_grid_circles(4, scale.scale_max, &projection);
// Generate C-plane direction lines
let c_plane_lines = generate_c_plane_lines(max_radius, &projection);
Self {
wings,
grid_circles,
c_plane_lines,
scale,
c_plane_data,
g_angles: ldt.g_angles.clone(),
symmetry: ldt.symmetry,
}
}
}
/// Expand C-plane data based on symmetry type
///
/// This is the core algorithm that converts reduced symmetry data
/// back to full 360° distribution.
pub fn expand_c_planes(ldt: &Eulumdat) -> Vec<CPlaneData> {
if ldt.intensities.is_empty() || ldt.g_angles.is_empty() {
return Vec::new();
}
let mut result = Vec::new();
// Get starting index for C-angles based on symmetry
let c_start = match ldt.symmetry {
Symmetry::PlaneC90C270 => ldt.c_angles.iter().position(|&c| c >= 90.0).unwrap_or(0),
_ => 0,
};
match ldt.symmetry {
Symmetry::VerticalAxis => {
// Symmetry 1: Rotationally symmetric - single plane applies to all C-angles
// Generate data for 8 C-planes (every 45°)
let intensities = ldt.intensities.first().cloned().unwrap_or_default();
for i in 0..8 {
let c_angle = i as f64 * 45.0;
result.push(CPlaneData {
c_angle,
intensities: intensities.clone(),
});
}
}
Symmetry::PlaneC0C180 => {
// Symmetry 2: Symmetric about C0-C180 plane
// Mirror C0-C90 to C270-C360
for (i, intensities) in ldt.intensities.iter().enumerate() {
if let Some(&c_angle) = ldt.c_angles.get(c_start + i) {
result.push(CPlaneData {
c_angle,
intensities: intensities.clone(),
});
// Mirror to other side
if c_angle > 0.0 && c_angle < 180.0 {
result.push(CPlaneData {
c_angle: 360.0 - c_angle,
intensities: intensities.clone(),
});
}
}
}
}
Symmetry::PlaneC90C270 => {
// Symmetry 3: Symmetric about C90-C270 plane
// Data covers C90 to C270, mirror to C270-C90
for (i, intensities) in ldt.intensities.iter().enumerate() {
if let Some(&c_angle) = ldt.c_angles.get(c_start + i) {
result.push(CPlaneData {
c_angle,
intensities: intensities.clone(),
});
// Mirror to other side
if c_angle > 90.0 && c_angle < 270.0 {
let mirrored = if c_angle < 180.0 {
90.0 - (c_angle - 90.0) // Mirror around C90
} else {
270.0 + (270.0 - c_angle) // Mirror around C270
};
if (0.0..=360.0).contains(&mirrored) {
result.push(CPlaneData {
c_angle: mirrored,
intensities: intensities.clone(),
});
}
}
}
}
}
Symmetry::BothPlanes => {
// Symmetry 4: Symmetric about both planes (quadrant symmetry)
// Data covers C0-C90, expand to full circle
for (i, intensities) in ldt.intensities.iter().enumerate() {
if let Some(&c_angle) = ldt.c_angles.get(c_start + i) {
result.push(CPlaneData {
c_angle,
intensities: intensities.clone(),
});
// Mirror to other quadrants
if c_angle > 0.0 && c_angle < 90.0 {
result.push(CPlaneData {
c_angle: 180.0 - c_angle,
intensities: intensities.clone(),
}); // Q2
result.push(CPlaneData {
c_angle: 180.0 + c_angle,
intensities: intensities.clone(),
}); // Q3
result.push(CPlaneData {
c_angle: 360.0 - c_angle,
intensities: intensities.clone(),
}); // Q4
} else if (c_angle - 90.0).abs() < 0.1 {
result.push(CPlaneData {
c_angle: 270.0,
intensities: intensities.clone(),
});
}
}
}
}
Symmetry::None => {
// No symmetry - use data as-is
for (i, intensities) in ldt.intensities.iter().enumerate() {
if let Some(&c_angle) = ldt.c_angles.get(c_start + i) {
result.push(CPlaneData {
c_angle,
intensities: intensities.clone(),
});
}
}
}
}
// Sort by C-angle
result.sort_by(|a, b| {
a.c_angle
.partial_cmp(&b.c_angle)
.unwrap_or(std::cmp::Ordering::Equal)
});
result
}
/// Generate butterfly wings for each C-plane
fn generate_wings(
c_plane_data: &[CPlaneData],
g_angles: &[f64],
projection: &IsometricProjection,
) -> Vec<ButterflyWing> {
if c_plane_data.is_empty() || g_angles.is_empty() {
return Vec::new();
}
let mut wings = Vec::new();
for plane in c_plane_data {
// Generate color based on C-angle
let hue = (plane.c_angle / 360.0) * 240.0 + 180.0; // 180-420 (cyan to blue to purple)
let hue = hue % 360.0;
let fill_color = hsl_to_rgb(hue / 360.0, 0.7, 0.45);
let stroke_color = hsl_to_rgb(hue / 360.0, 0.7, 0.55);
// Build path: start from center, go out along gamma angles
let mut points = Vec::new();
// Start at center
points.push(Point2D::new(projection.center_x, projection.center_y));
// Draw outward along increasing gamma
for (j, &g_angle) in g_angles.iter().enumerate() {
let intensity = plane.intensities.get(j).copied().unwrap_or(0.0);
let p = projection.project(plane.c_angle, g_angle, intensity);
points.push(p);
}
wings.push(ButterflyWing {
c_angle: plane.c_angle,
points,
fill_color,
stroke_color,
});
}
wings
}
/// Generate grid circles at the horizontal plane (gamma=90°)
fn generate_grid_circles(
num_circles: usize,
max_scale: f64,
projection: &IsometricProjection,
) -> Vec<Vec<Point2D>> {
let mut circles = Vec::new();
for i in 1..=num_circles {
let intensity = max_scale * (i as f64) / (num_circles as f64);
let mut points = Vec::new();
// Draw ellipse at gamma=90 (horizontal plane)
let num_points = 36;
for j in 0..=num_points {
let c_angle = (j as f64) * 360.0 / (num_points as f64);
let p = projection.project(c_angle, 90.0, intensity);
points.push(p);
}
circles.push(points);
}
circles
}
/// Generate C-plane direction lines at 45° intervals
fn generate_c_plane_lines(
max_radius: f64,
projection: &IsometricProjection,
) -> Vec<(f64, Point2D, Point2D)> {
let label_angles: Vec<f64> = vec![0.0, 45.0, 90.0, 135.0, 180.0, 225.0, 270.0, 315.0];
let mut lines = Vec::new();
for &c_angle in &label_angles {
let start = Point2D::new(projection.center_x, projection.center_y);
let end = projection.project(c_angle, 90.0, max_radius * projection.scale);
lines.push((c_angle, start, end));
}
lines
}
#[cfg(test)]
mod tests {
use super::*;
#[allow(clippy::field_reassign_with_default)]
fn create_test_ldt() -> Eulumdat {
let mut ldt = Eulumdat::default();
ldt.symmetry = Symmetry::BothPlanes;
ldt.c_angles = vec![0.0, 30.0, 60.0, 90.0];
ldt.g_angles = vec![0.0, 30.0, 60.0, 90.0];
ldt.intensities = vec![
vec![100.0, 90.0, 70.0, 40.0],
vec![95.0, 85.0, 65.0, 35.0],
vec![90.0, 80.0, 60.0, 30.0],
vec![85.0, 75.0, 55.0, 25.0],
];
ldt
}
#[test]
fn test_expand_c_planes_both_symmetry() {
let ldt = create_test_ldt();
let expanded = expand_c_planes(&ldt);
// With BothPlanes symmetry, C0-C90 expands to full 360°
// C0 -> C0, C180
// C30 -> C30, C150, C210, C330
// C60 -> C60, C120, C240, C300
// C90 -> C90, C270
assert!(expanded.len() > ldt.intensities.len());
// Check that we have angles in all quadrants
let has_q1 = expanded.iter().any(|p| p.c_angle > 0.0 && p.c_angle < 90.0);
let has_q2 = expanded
.iter()
.any(|p| p.c_angle > 90.0 && p.c_angle < 180.0);
let has_q3 = expanded
.iter()
.any(|p| p.c_angle > 180.0 && p.c_angle < 270.0);
let has_q4 = expanded
.iter()
.any(|p| p.c_angle > 270.0 && p.c_angle < 360.0);
assert!(has_q1 && has_q2 && has_q3 && has_q4);
}
#[test]
fn test_expand_c_planes_vertical_symmetry() {
let mut ldt = create_test_ldt();
ldt.symmetry = Symmetry::VerticalAxis;
let expanded = expand_c_planes(&ldt);
// Should generate 8 C-planes at 45° intervals
assert_eq!(expanded.len(), 8);
// All should have same intensities
let first_intensities = &expanded[0].intensities;
for plane in &expanded {
assert_eq!(&plane.intensities, first_intensities);
}
}
#[test]
fn test_butterfly_diagram_generation() {
let ldt = create_test_ldt();
let diagram = ButterflyDiagram::from_eulumdat(&ldt, 500.0, 450.0, 60.0);
// Should have wings
assert!(!diagram.wings.is_empty());
// Should have grid circles
assert_eq!(diagram.grid_circles.len(), 4);
// Should have C-plane lines
assert_eq!(diagram.c_plane_lines.len(), 8);
}
#[test]
fn test_wing_to_svg_path() {
let wing = ButterflyWing {
c_angle: 0.0,
points: vec![
Point2D::new(250.0, 250.0),
Point2D::new(300.0, 200.0),
Point2D::new(350.0, 150.0),
],
fill_color: Color::new(100, 150, 200),
stroke_color: Color::new(80, 130, 180),
};
let path = wing.to_svg_path();
assert!(path.starts_with("M "));
assert!(path.ends_with(" Z"));
}
}