//! A-P3 (`docs/overset_metal_campaign.md` §5.10): the stadium O-grid around
//! the falsifier's plate — closed seam, positive areas, orthogonal rays,
//! the spacings the time step depends on, and the overlap classification
//! against the falsifier's 152² background with both donor invariants.

mod overset_common;

use overset_common::plate_patch;
use rtx_cfd::CfdResult;
use rtx_cfd::mesh::PatchMesh;
use rtx_cfd::solvers::incompressible::OverlapMap;
use rtx_cfd::solvers::incompressible::overset::overlap::DEFAULT_OVERLAP_ROWS;

const N: usize = 152;

fn spacings(mesh: &PatchMesh) -> (f64, f64, f64, f64) {
    let (mut min_s, mut max_s, mut min_n, mut max_n) =
        (f64::INFINITY, 0.0_f64, f64::INFINITY, 0.0_f64);
    for c in 0..mesh.cell_count() {
        for (f, _) in mesh.cell_faces(c) {
            let face = &mesh.faces()[f];
            let len = (face.s[0] * face.s[0] + face.s[1] * face.s[1]).sqrt();
            if mesh.is_sface(f) {
                // an s-face's length is the n-spacing
                min_n = min_n.min(len);
                max_n = max_n.max(len);
            } else {
                min_s = min_s.min(len);
                max_s = max_s.max(len);
            }
        }
    }
    (min_s, max_s, min_n, max_n)
}

#[test]
fn stadium_patch_is_closed_orthogonal_and_resolves_the_plate() -> CfdResult<()> {
    let h = 1.0 / N as f64;
    let mesh = plate_patch([0.5, 0.5], h)?;
    mesh.validate(30.0).map_err(rtx_cfd::CfdError::mesh)?;
    let (min_s, max_s, min_n, max_n) = spacings(&mesh);
    // Largest interior non-orthogonality.
    let mut worst = 0.0_f64;
    for f in mesh.faces() {
        if f.owner.is_some() && f.neigh.is_some() {
            let len = (f.s[0] * f.s[0] + f.s[1] * f.s[1]).sqrt();
            let dl = (f.d[0] * f.d[0] + f.d[1] * f.d[1]).sqrt();
            let cos = ((f.s[0] * f.d[0] + f.s[1] * f.d[1]) / (len * dl)).clamp(-1.0, 1.0);
            worst = worst.max(cos.acos().to_degrees());
        }
    }
    println!(
        "  stadium patch {}x{} ({} cells): s-spacing [{:.2}, {:.2}] h, n-spacing [{:.2}, {:.2}] h, worst non-orthogonality {worst:.1} deg",
        mesh.ns(),
        mesh.nn(),
        mesh.cell_count(),
        min_s / h,
        max_s / h,
        min_n / h,
        max_n / h
    );
    assert!(worst < 20.0, "non-orthogonality {worst:.1} deg");
    assert!(
        max_n < 1.2 * h,
        "outer spacing {:.2} h exceeds the background's",
        max_n / h
    );
    Ok(())
}

#[test]
fn stadium_patch_classifies_the_falsifier_background() -> CfdResult<()> {
    let h = 1.0 / N as f64;
    for cy in [0.5, 0.58, 0.42] {
        let mesh = plate_patch([0.5, cy], h)?;
        let map = OverlapMap::build(&mesh, N, N, h, h, DEFAULT_OVERLAP_ROWS)?;
        println!(
            "  plate at y = {cy}: hole {}, fringe {}, prescribed u {} v {}, acceptors {}",
            map.hole_cells(),
            map.fringe_count(),
            map.fringe_u.len(),
            map.fringe_v.len(),
            map.acceptors.len()
        );
        assert!(map.fringe_count() > 0);
    }
    Ok(())
}