ViewDesignEngine/tests/curves/test_surface_extension.cpp

#include <gtest/gtest.h>
#include "vde/curves/surface_extension.h"
#include "vde/curves/nurbs_operations.h"
#include "vde/curves/nurbs_curve.h"
#include "vde/curves/nurbs_surface.h"
#include <cmath>

using namespace vde::curves;
using namespace vde::core;

// ===========================================================================
//  Helpers
// ===========================================================================

static NurbsCurve make_line_curve(const Point3D& a, const Point3D& b) {
    return NurbsCurve({a, b}, {0, 0, 1, 1}, {1, 1}, 1);
}

static NurbsSurface make_planar_surface() {
    std::vector<std::vector<Point3D>> grid = {
        {Point3D(0, 0, 0), Point3D(0, 1, 0)},
        {Point3D(1, 0, 0), Point3D(1, 1, 0)}
    };
    return NurbsSurface(grid, {0, 0, 1, 1}, {0, 0, 1, 1}, {}, 1, 1);
}

static NurbsSurface make_degree2_surface() {
    std::vector<std::vector<Point3D>> grid = {
        {Point3D(0, 0, 0), Point3D(0, 1, 0.3), Point3D(0, 2, 0)},
        {Point3D(1, 0, 0.3), Point3D(1, 1, 0.8), Point3D(1, 2, 0.3)},
        {Point3D(2, 0, 0), Point3D(2, 1, 0.3), Point3D(2, 2, 0)}
    };
    return NurbsSurface(grid,
        {0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 1, 1}, {}, 2, 2);
}

// ===========================================================================
//  extend_surface — G1 延伸
// ===========================================================================

TEST(SurfaceExtensionTest, ExtendG1_Umax_AddsRow) {
    auto plane = make_planar_surface();
    auto extended = extend_surface(plane, 1, 0.5, Continuity::G1);

    // Should have one extra row of control points
    auto [nu, nv] = extended.num_control_points();
    EXPECT_EQ(nu, 3);  // original 2 + 1 new row
    EXPECT_EQ(nv, 2);

    // Extended surface should evaluate to finite values throughout
    for (double u = 0.0; u <= 1.0; u += 0.25) {
        for (double v = 0.0; v <= 1.0; v += 0.25) {
            Point3D p = extended.evaluate(u, v);
            EXPECT_TRUE(std::isfinite(p.x()));
            EXPECT_TRUE(std::isfinite(p.y()));
            EXPECT_TRUE(std::isfinite(p.z()));
        }
    }
}

TEST(SurfaceExtensionTest, ExtendG1_Vmin_AddsColumn) {
    auto plane = make_planar_surface();
    auto extended = extend_surface(plane, 2, 1.0, Continuity::G1);

    auto [nu, nv] = extended.num_control_points();
    EXPECT_EQ(nu, 2);
    EXPECT_EQ(nv, 3);  // original 2 + 1 new column

    // All points should be finite
    Point3D p = extended.evaluate(0.5, 0.5);
    EXPECT_TRUE(std::isfinite(p.x()));
    EXPECT_TRUE(std::isfinite(p.y()));
    EXPECT_TRUE(std::isfinite(p.z()));
}

TEST(SurfaceExtensionTest, ExtendG1_ZeroDistance) {
    auto plane = make_planar_surface();
    auto same = extend_surface(plane, 0, 0.0, Continuity::G1);

    // Should return the same surface
    Point3D p1 = plane.evaluate(0.5, 0.5);
    Point3D p2 = same.evaluate(0.5, 0.5);
    EXPECT_NEAR((p1 - p2).norm(), 0.0, 1e-10);
}

// ===========================================================================
//  extend_surface — G2 延伸
// ===========================================================================

TEST(SurfaceExtensionTest, ExtendG2_Umax_AddsTwoRows) {
    auto plane = make_planar_surface();
    auto extended = extend_surface(plane, 1, 0.5, Continuity::G2);

    auto [nu, nv] = extended.num_control_points();
    EXPECT_EQ(nu, 4);  // original 2 + 2 new rows
    EXPECT_EQ(nv, 2);
}

TEST(SurfaceExtensionTest, ExtendG2_PlanarStaysPlanar) {
    auto plane = make_planar_surface();
    auto extended = extend_surface(plane, 1, 1.0, Continuity::G2);

    // All points should have z=0 (planar extension of XY plane)
    for (double u = 0.0; u <= 1.0; u += 0.25) {
        for (double v = 0.0; v <= 1.0; v += 0.25) {
            Point3D p = extended.evaluate(u, v);
            EXPECT_NEAR(p.z(), 0.0, 1e-6);
        }
    }
}

TEST(SurfaceExtensionTest, ExtendG2_VmaxDegree2_AddsTwoCols) {
    auto surf = make_degree2_surface();
    auto extended = extend_surface(surf, 3, 0.5, Continuity::G2);

    // Should have original 3 + 2 new columns = 5 in v
    auto [nu, nv] = extended.num_control_points();
    EXPECT_EQ(nu, 3);
    EXPECT_EQ(nv, 5);

    // Evaluate at valid parameters
    Point3D p = extended.evaluate(0.5, 0.5);
    EXPECT_TRUE(std::isfinite(p.x()));
    EXPECT_TRUE(std::isfinite(p.y()));
    EXPECT_TRUE(std::isfinite(p.z()));
}

TEST(SurfaceExtensionTest, ExtendG1_PlanarPreservesFlatness) {
    auto plane = make_planar_surface();
    auto extended = extend_surface(plane, 1, 0.5, Continuity::G1);

    // Extended surface should remain planar
    for (double u = 0.0; u <= 1.0; u += 0.25) {
        for (double v = 0.0; v <= 1.0; v += 0.25) {
            Point3D p = extended.evaluate(u, v);
            EXPECT_NEAR(p.z(), 0.0, 1e-6);
        }
    }
}

// ===========================================================================
//  n_sided_fill — N 边填充
// ===========================================================================

TEST(SurfaceExtensionTest, FillNSided_TriangleG2) {
    auto l1 = make_line_curve(Point3D(0, 0, 0), Point3D(2, 0, 0));
    auto l2 = make_line_curve(Point3D(2, 0, 0), Point3D(1, 2, 0));
    auto l3 = make_line_curve(Point3D(1, 2, 0), Point3D(0, 0, 0));
    std::vector<NurbsCurve> boundaries = {l1, l2, l3};

    auto fill = n_sided_fill(boundaries, Continuity::G2);

    // Should produce a valid surface
    Point3D mid = fill.evaluate(0.5, 0.5);
    EXPECT_TRUE(std::isfinite(mid.x()));
    EXPECT_TRUE(std::isfinite(mid.y()));
    EXPECT_TRUE(std::isfinite(mid.z()));

    // Center should be roughly inside the triangle
    EXPECT_GT(mid.x(), 0.0);
    EXPECT_LT(mid.x(), 2.0);
    EXPECT_GT(mid.y(), 0.0);
    EXPECT_LT(mid.y(), 2.0);
}

TEST(SurfaceExtensionTest, FillNSided_Quadrilateral) {
    auto l1 = make_line_curve(Point3D(0, 0, 0), Point3D(3, 0, 0));
    auto l2 = make_line_curve(Point3D(3, 0, 0), Point3D(3, 2, 0));
    auto l3 = make_line_curve(Point3D(3, 2, 0), Point3D(0, 2, 0));
    auto l4 = make_line_curve(Point3D(0, 2, 0), Point3D(0, 0, 0));
    std::vector<NurbsCurve> boundaries = {l1, l2, l3, l4};

    auto fill = n_sided_fill(boundaries, Continuity::G1);

    // Center should be inside the rectangle
    Point3D mid = fill.evaluate(0.5, 0.5);
    EXPECT_GT(mid.x(), 0.5);
    EXPECT_LT(mid.x(), 2.5);
    EXPECT_GT(mid.y(), 0.0);
    EXPECT_LT(mid.y(), 2.0);
    EXPECT_NEAR(mid.z(), 0.0, 1e-6);
}

TEST(SurfaceExtensionTest, FillNSided_Pentagon) {
    // Regular pentagon in XY plane
    std::vector<NurbsCurve> boundaries;
    std::vector<Point3D> pts;
    for (int i = 0; i < 5; ++i) {
        double angle = 2.0 * M_PI * i / 5.0 - M_PI / 2.0;
        pts.push_back(Point3D(std::cos(angle), std::sin(angle), 0));
    }
    for (int i = 0; i < 5; ++i) {
        boundaries.push_back(make_line_curve(pts[i], pts[(i + 1) % 5]));
    }

    auto fill = n_sided_fill(boundaries, Continuity::G2);

    // Center should be near origin
    Point3D mid = fill.evaluate(0.5, 0.5);
    EXPECT_NEAR(mid.x(), 0.0, 0.5);
    EXPECT_NEAR(mid.y(), 0.0, 0.5);
    EXPECT_NEAR(mid.z(), 0.0, 1e-6);
}

TEST(SurfaceExtensionTest, FillNSided_TriangleG1) {
    auto l1 = make_line_curve(Point3D(0, 0, 0), Point3D(2, 0, 0));
    auto l2 = make_line_curve(Point3D(2, 0, 0), Point3D(0, 2, 0));
    auto l3 = make_line_curve(Point3D(0, 2, 0), Point3D(0, 0, 0));
    std::vector<NurbsCurve> boundaries = {l1, l2, l3};

    auto fill = n_sided_fill(boundaries, Continuity::G1);

    // Fill surface should be finite and pass through boundary
    for (double u = 0.0; u <= 1.0; u += 0.25) {
        for (double v = 0.0; v <= 1.0; v += 0.25) {
            Point3D p = fill.evaluate(u, v);
            EXPECT_TRUE(std::isfinite(p.x()));
            EXPECT_TRUE(std::isfinite(p.y()));
            EXPECT_TRUE(std::isfinite(p.z()));
        }
    }
}

TEST(SurfaceExtensionTest, FillNSided_DegenerateEdge) {
    // Only 2 curves → should return degenerate
    auto l1 = make_line_curve(Point3D(0, 0, 0), Point3D(1, 0, 0));
    auto l2 = make_line_curve(Point3D(1, 0, 0), Point3D(0, 1, 0));
    std::vector<NurbsCurve> boundaries = {l1, l2};

    auto fill = n_sided_fill(boundaries, Continuity::G1);
    auto [nu, nv] = fill.num_control_points();
    // With < 3 curves, returns empty surface
    EXPECT_TRUE(nu == 0 || nu == 1);
}

// ===========================================================================
//  blend_surfaces — 两面过渡（自动检测公共边）
// ===========================================================================

TEST(SurfaceExtensionTest, BlendSurfacesAutoDetect_Adjacent) {
    auto plane1 = make_planar_surface();
    std::vector<std::vector<Point3D>> grid2 = {
        {Point3D(1, 0, 0), Point3D(1, 1, 0)},
        {Point3D(2, 0, 0), Point3D(2, 1, 0)}
    };
    NurbsSurface plane2(grid2, {0, 0, 1, 1}, {0, 0, 1, 1}, {}, 1, 1);

    auto blend = blend_surfaces(plane1, plane2, 0.3);

    // Should produce a valid blend surface
    auto [nu, nv] = blend.num_control_points();
    EXPECT_GE(nu, 2);
    EXPECT_GE(nv, 2);

    // Blend surface should evaluate to finite values
    Point3D p = blend.evaluate(0.5, 0.5);
    EXPECT_TRUE(std::isfinite(p.x()));
    EXPECT_TRUE(std::isfinite(p.y()));
    EXPECT_TRUE(std::isfinite(p.z()));
}

TEST(SurfaceExtensionTest, BlendSurfacesNoCommonBoundary) {
    auto plane1 = make_planar_surface();
    std::vector<std::vector<Point3D>> grid2 = {
        {Point3D(3, 0, 0), Point3D(3, 1, 0)},
        {Point3D(4, 0, 0), Point3D(4, 1, 0)}
    };
    NurbsSurface plane2(grid2, {0, 0, 1, 1}, {0, 0, 1, 1}, {}, 1, 1);

    auto blend = blend_surfaces(plane1, plane2, 0.3);
    auto [nu, nv] = blend.num_control_points();
    // No common boundary → degenerate
    EXPECT_TRUE(nu == 0 || nv == 0);
}

// ===========================================================================
//  is_g1_continuous — G1 连续性检查
// ===========================================================================

TEST(SurfaceExtensionTest, G1Continuous_AdjacentPlanes) {
    auto plane1 = make_planar_surface();
    std::vector<std::vector<Point3D>> grid2 = {
        {Point3D(1, 0, 0), Point3D(1, 1, 0)},
        {Point3D(2, 0, 0), Point3D(2, 1, 0)}
    };
    NurbsSurface plane2(grid2, {0, 0, 1, 1}, {0, 0, 1, 1}, {}, 1, 1);

    // They share x=1 boundary: plane1 umax (edge=1) matches plane2 umin (edge=0)
    EXPECT_TRUE(is_g1_continuous(plane1, plane2, 1));
}

TEST(SurfaceExtensionTest, G1Continuous_NonMatching) {
    auto plane1 = make_planar_surface();
    // plane2 is angled → normals won't match
    std::vector<std::vector<Point3D>> grid2 = {
        {Point3D(1, 0, 0), Point3D(1, 1, 1)},
        {Point3D(2, 0, 0), Point3D(2, 1, 1)}
    };
    NurbsSurface plane2(grid2, {0, 0, 1, 1}, {0, 0, 1, 1}, {}, 1, 1);

    // Normals differ → not G1
    EXPECT_FALSE(is_g1_continuous(plane1, plane2, 1));
}