use std::fmt::Write as _;
pub(super) fn path_from_points(points: &[(f64, f64)]) -> String {
let mut out = String::new();
for (i, (x, y)) in points.iter().copied().enumerate() {
let cmd = if i == 0 { 'M' } else { 'L' };
let _ = write!(&mut out, "{cmd}{x},{y} ");
}
out.push('Z');
out
}
pub(super) fn generate_circle_points(
center_x: f64,
center_y: f64,
radius: f64,
num_points: usize,
start_angle_deg: f64,
end_angle_deg: f64,
) -> Vec<(f64, f64)> {
let start = start_angle_deg.to_radians();
let end = end_angle_deg.to_radians();
let angle_range = end - start;
let step = angle_range / (num_points.saturating_sub(1).max(1) as f64);
let mut pts: Vec<(f64, f64)> = Vec::with_capacity(num_points);
for i in 0..num_points {
let angle = start + (i as f64) * step;
let x = center_x + radius * angle.cos();
let y = center_y + radius * angle.sin();
pts.push((-x, -y));
}
pts
}
pub(super) fn generate_full_sine_wave_points(
x1: f64,
y1: f64,
x2: f64,
y2: f64,
amplitude: f64,
num_cycles: f64,
) -> Vec<(f64, f64)> {
let steps: usize = 50;
let delta_x = x2 - x1;
let delta_y = y2 - y1;
let cycle_length = delta_x / num_cycles;
let frequency = (2.0 * std::f64::consts::PI) / cycle_length;
let mid_y = y1 + delta_y / 2.0;
let mut points: Vec<(f64, f64)> = Vec::with_capacity(steps + 1);
for i in 0..=steps {
let t = (i as f64) / (steps as f64);
let x = x1 + t * delta_x;
let y = mid_y + amplitude * (frequency * (x - x1)).sin();
points.push((x, y));
}
points
}
pub(super) fn arc_points(
x1: f64,
y1: f64,
x2: f64,
y2: f64,
rx: f64,
ry: f64,
clockwise: bool,
) -> Vec<(f64, f64)> {
let num_points: usize = 20;
let mid_x = (x1 + x2) / 2.0;
let mid_y = (y1 + y2) / 2.0;
let angle = (y2 - y1).atan2(x2 - x1);
let dx = (x2 - x1) / 2.0;
let dy = (y2 - y1) / 2.0;
let transformed_x = dx / rx;
let transformed_y = dy / ry;
let distance = (transformed_x * transformed_x + transformed_y * transformed_y).sqrt();
if distance > 1.0 {
return vec![(x1, y1), (x2, y2)];
}
let scaled_center_distance = (1.0 - distance * distance).sqrt();
let sign = if clockwise { -1.0 } else { 1.0 };
let center_x = mid_x + scaled_center_distance * ry * angle.sin() * sign;
let center_y = mid_y - scaled_center_distance * rx * angle.cos() * sign;
let start_angle = ((y1 - center_y) / ry).atan2((x1 - center_x) / rx);
let end_angle = ((y2 - center_y) / ry).atan2((x2 - center_x) / rx);
let mut angle_range = end_angle - start_angle;
if clockwise && angle_range < 0.0 {
angle_range += 2.0 * std::f64::consts::PI;
}
if !clockwise && angle_range > 0.0 {
angle_range -= 2.0 * std::f64::consts::PI;
}
let mut points: Vec<(f64, f64)> = Vec::with_capacity(num_points);
for i in 0..num_points {
let t = i as f64 / (num_points - 1) as f64;
let a = start_angle + t * angle_range;
let x = center_x + rx * a.cos();
let y = center_y + ry * a.sin();
points.push((x, y));
}
points
}