OpenNest-Engines/OpenNest.Engine.Qwen38FlashNext/tests/NfpGeometryTests.cs

using System;
using Xunit;
using OpenNest.Geometry;
using OpenNest.Engine.Qwen38FlashNext.Engine;

namespace OpenNest.Engine.Qwen38FlashNext.Tests;

/// <summary>
/// These tests target the engine's internal NFP math through its public surface
/// (SheetPacker via reflection is overkill; ConvexContour/NfpGeometry are internal,
/// so InternalsVisibleTo is required).
/// </summary>
public class NfpGeometryTests
{
    private static ConvexContour Square(double x0, double y0, double x1, double y1) =>
        ConvexContour.FromVertices(
            new[]
            {
                new Vector(x0, y0),
                new Vector(x1, y0),
                new Vector(x1, y1),
                new Vector(x0, y1),
            }
        );

    [Fact]
    public void MinkowskiOfTwoSquaresIsTheExpectedRectangle()
    {
        var a = Square(0, 0, 10, 10);
        var b = Square(-5, -5, 5, 5); // centered square, side 10

        var sum = NfpGeometry.Minkowski(a, b);

        // [0,10]^2 + [-5,5]^2 = [-5,15]^2
        Assert.Equal(-5, sum.MinX, 6);
        Assert.Equal(-5, sum.MinY, 6);
        Assert.Equal(15, sum.MaxX, 6);
        Assert.Equal(15, sum.MaxY, 6);

        // Strict containment sanity: center inside, far corner outside.
        Assert.True(sum.ContainsPoint(0, 0));
        Assert.True(sum.ContainsPoint(14.9, 14.9));
        Assert.False(sum.ContainsPoint(20, 20));

        var n = sum.Count;
        for (var i = 0; i < n; i++)
        {
            var ax = sum.X(i);
            var ay = sum.Y(i);
            var bx = sum.X((i + 1) % n);
            var by = sum.Y((i + 1) % n);
            var cx = sum.X((i + 2) % n);
            var cy = sum.Y((i + 2) % n);
            var cross = (bx - ax) * (cy - by) - (by - ay) * (cx - bx);
            Assert.True(cross >= -1e-9, $"non-convex (clockwise) turn at vertex {i} of Minkowski result");
        }
    }

    [Fact]
    public void MinkowskiOfTrianglesIsConvexAndContainsTheSums()
    {
        var a = ConvexContour.FromVertices(
            new[] { new Vector(0, 0), new Vector(10, 0), new Vector(0, 10) }
        );
        var b = ConvexContour.FromVertices(
            new[] { new Vector(0, 0), new Vector(4, 0), new Vector(0, 4) }
        );

        var sum = NfpGeometry.Minkowski(a, b);

        // Vertex sums must lie on the boundary of the true Minkowski sum.
        Assert.True(sum.ContainsPoint(1, 1));
        Assert.True(sum.ContainsPoint(9, 1));
        Assert.True(sum.ContainsPoint(1, 12));

        var n = sum.Count;
        for (var i = 0; i < n; i++)
        {
            var ax = sum.X(i);
            var ay = sum.Y(i);
            var bx = sum.X((i + 1) % n);
            var by = sum.Y((i + 1) % n);
            var cx = sum.X((i + 2) % n);
            var cy = sum.Y((i + 2) % n);
            var cross = (bx - ax) * (cy - by) - (by - ay) * (cx - bx);
            Assert.True(cross >= -1e-9, $"non-convex turn at vertex {i}");
        }
    }

    [Fact]
    public void ReflectPreservesCcwWinding()
    {
        var a = Square(0, 0, 10, 10);
        var r = NfpGeometry.Reflect(a);

        Assert.Equal(-10, r.MinX, 6);
        Assert.Equal(-10, r.MinY, 6);
        Assert.Equal(0, r.MaxX, 6);
        Assert.Equal(0, r.MaxY, 6);

        var n = r.Count;
        for (var i = 0; i < n; i++)
        {
            var ax = r.X(i);
            var ay = r.Y(i);
            var bx = r.X((i + 1) % n);
            var by = r.Y((i + 1) % n);
            var cx = r.X((i + 2) % n);
            var cy = r.Y((i + 2) % n);
            var cross = (bx - ax) * (cy - by) - (by - ay) * (cx - bx);
            Assert.True(cross >= -1e-9, $"Reflect produced a non-CCW contour at vertex {i}");
        }
    }

    [Fact]
    public void NfpOfTwoSquaresIsTheForbiddenAnchorSquare()
    {
        // Placed [0,10]^2, candidate [0,10]^2, zero spacing: NFP of forbidden
        // anchors = placed (+) reflect(candidate) = (-10,10)^2. Anchors strictly
        // inside it overlap; anchors outside it clear.
        var placed = Square(0, 0, 10, 10);
        var candidate = Square(0, 0, 10, 10);
        var nfp = NfpGeometry.Minkowski(placed, NfpGeometry.Reflect(candidate));

        Assert.Equal(-10, nfp.MinX, 6);
        Assert.Equal(-10, nfp.MinY, 6);
        Assert.Equal(10, nfp.MaxX, 6);
        Assert.Equal(10, nfp.MaxY, 6);

        Assert.True(nfp.ContainsPoint(5, 5)); // overlap
        Assert.True(nfp.ContainsPoint(-5, -5)); // overlap
        // Boundary contact counts as forbidden (conservative): the fast-path
        // certification only accepts anchors CLEAR of the NFP; contact defers to
        // the exact material gate.
        Assert.True(nfp.ContainsPoint(10, 0));
        Assert.False(nfp.ContainsPoint(0, 10.001)); // beyond top, legal

        var n = nfp.Count;
        for (var i = 0; i < n; i++)
        {
            var ax = nfp.X(i);
            var ay = nfp.Y(i);
            var bx = nfp.X((i + 1) % n);
            var by = nfp.Y((i + 1) % n);
            var cx = nfp.X((i + 2) % n);
            var cy = nfp.Y((i + 2) % n);
            var cross = (bx - ax) * (cy - by) - (by - ay) * (cx - bx);
            Assert.True(cross >= -1e-9, $"non-convex turn at vertex {i}");
        }
    }
}