/**************************************************************************/
/* test_projection.h */
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/* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur. */
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#ifndef TEST_PROJECTION_H
#define TEST_PROJECTION_H
#include "core/math/aabb.h"
#include "core/math/plane.h"
#include "core/math/projection.h"
#include "core/math/rect2.h"
#include "core/math/transform_3d.h"
#include "thirdparty/doctest/doctest.h"
namespace TestProjection {
TEST_CASE("[Projection] Construction") {
Projection default_proj;
CHECK(default_proj[0].is_equal_approx(Vector4(1, 0, 0, 0)));
CHECK(default_proj[1].is_equal_approx(Vector4(0, 1, 0, 0)));
CHECK(default_proj[2].is_equal_approx(Vector4(0, 0, 1, 0)));
CHECK(default_proj[3].is_equal_approx(Vector4(0, 0, 0, 1)));
Projection from_vec4(
Vector4(1, 2, 3, 4),
Vector4(5, 6, 7, 8),
Vector4(9, 10, 11, 12),
Vector4(13, 14, 15, 16));
CHECK(from_vec4[0].is_equal_approx(Vector4(1, 2, 3, 4)));
CHECK(from_vec4[1].is_equal_approx(Vector4(5, 6, 7, 8)));
CHECK(from_vec4[2].is_equal_approx(Vector4(9, 10, 11, 12)));
CHECK(from_vec4[3].is_equal_approx(Vector4(13, 14, 15, 16)));
Transform3D transform(
Basis(
Vector3(1, 0, 0),
Vector3(0, 2, 0),
Vector3(0, 0, 3)),
Vector3(4, 5, 6));
Projection from_transform(transform);
CHECK(from_transform[0].is_equal_approx(Vector4(1, 0, 0, 0)));
CHECK(from_transform[1].is_equal_approx(Vector4(0, 2, 0, 0)));
CHECK(from_transform[2].is_equal_approx(Vector4(0, 0, 3, 0)));
CHECK(from_transform[3].is_equal_approx(Vector4(4, 5, 6, 1)));
}
TEST_CASE("[Projection] set_zero()") {
Projection proj;
proj.set_zero();
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
CHECK(proj.columns[i][j] == 0);
}
}
}
TEST_CASE("[Projection] set_identity()") {
Projection proj;
proj.set_identity();
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
CHECK(proj.columns[i][j] == (i == j ? 1 : 0));
}
}
}
TEST_CASE("[Projection] determinant()") {
Projection proj(
Vector4(1, 5, 9, 13),
Vector4(2, 6, 11, 15),
Vector4(4, 7, 11, 15),
Vector4(4, 8, 12, 16));
CHECK(proj.determinant() == -12);
}
TEST_CASE("[Projection] Inverse and invert") {
SUBCASE("[Projection] Arbitrary projection matrix inversion") {
Projection proj(
Vector4(1, 5, 9, 13),
Vector4(2, 6, 11, 15),
Vector4(4, 7, 11, 15),
Vector4(4, 8, 12, 16));
Projection inverse_truth(
Vector4(-4.0 / 12, 0, 1, -8.0 / 12),
Vector4(8.0 / 12, -1, -1, 16.0 / 12),
Vector4(-20.0 / 12, 2, -1, 5.0 / 12),
Vector4(1, -1, 1, -0.75));
Projection inverse = proj.inverse();
CHECK(inverse[0].is_equal_approx(inverse_truth[0]));
CHECK(inverse[1].is_equal_approx(inverse_truth[1]));
CHECK(inverse[2].is_equal_approx(inverse_truth[2]));
CHECK(inverse[3].is_equal_approx(inverse_truth[3]));
proj.invert();
CHECK(proj[0].is_equal_approx(inverse_truth[0]));
CHECK(proj[1].is_equal_approx(inverse_truth[1]));
CHECK(proj[2].is_equal_approx(inverse_truth[2]));
CHECK(proj[3].is_equal_approx(inverse_truth[3]));
}
SUBCASE("[Projection] Orthogonal projection matrix inversion") {
Projection p = Projection::create_orthogonal(-125.0f, 125.0f, -125.0f, 125.0f, 0.01f, 25.0f);
p = p.inverse() * p;
CHECK(p[0].is_equal_approx(Vector4(1, 0, 0, 0)));
CHECK(p[1].is_equal_approx(Vector4(0, 1, 0, 0)));
CHECK(p[2].is_equal_approx(Vector4(0, 0, 1, 0)));
CHECK(p[3].is_equal_approx(Vector4(0, 0, 0, 1)));
}
SUBCASE("[Projection] Perspective projection matrix inversion") {
Projection p = Projection::create_perspective(90.0f, 1.77777f, 0.05f, 4000.0f);
p = p.inverse() * p;
CHECK(p[0].is_equal_approx(Vector4(1, 0, 0, 0)));
CHECK(p[1].is_equal_approx(Vector4(0, 1, 0, 0)));
CHECK(p[2].is_equal_approx(Vector4(0, 0, 1, 0)));
CHECK(p[3].is_equal_approx(Vector4(0, 0, 0, 1)));
}
}
TEST_CASE("[Projection] Matrix product") {
Projection proj1(
Vector4(1, 5, 9, 13),
Vector4(2, 6, 11, 15),
Vector4(4, 7, 11, 15),
Vector4(4, 8, 12, 16));
Projection proj2(
Vector4(0, 1, 2, 3),
Vector4(10, 11, 12, 13),
Vector4(20, 21, 22, 23),
Vector4(30, 31, 32, 33));
Projection prod = proj1 * proj2;
CHECK(prod[0].is_equal_approx(Vector4(22, 44, 69, 93)));
CHECK(prod[1].is_equal_approx(Vector4(132, 304, 499, 683)));
CHECK(prod[2].is_equal_approx(Vector4(242, 564, 929, 1273)));
CHECK(prod[3].is_equal_approx(Vector4(352, 824, 1359, 1863)));
}
TEST_CASE("[Projection] Vector transformation") {
Projection proj(
Vector4(1, 5, 9, 13),
Vector4(2, 6, 11, 15),
Vector4(4, 7, 11, 15),
Vector4(4, 8, 12, 16));
Projection inverse(
Vector4(-4.0 / 12, 0, 1, -8.0 / 12),
Vector4(8.0 / 12, -1, -1, 16.0 / 12),
Vector4(-20.0 / 12, 2, -1, 5.0 / 12),
Vector4(1, -1, 1, -0.75));
Vector4 vec4(1, 2, 3, 4);
CHECK(proj.xform(vec4).is_equal_approx(Vector4(33, 70, 112, 152)));
CHECK(proj.xform_inv(vec4).is_equal_approx(Vector4(90, 107, 111, 120)));
Vector3 vec3(1, 2, 3);
CHECK(proj.xform(vec3).is_equal_approx(Vector3(21, 46, 76) / 104));
}
TEST_CASE("[Projection] Plane transformation") {
Projection proj(
Vector4(1, 5, 9, 13),
Vector4(2, 6, 11, 15),
Vector4(4, 7, 11, 15),
Vector4(4, 8, 12, 16));
Plane plane(1, 2, 3, 4);
CHECK(proj.xform4(plane).is_equal_approx(Plane(33, 70, 112, 152)));
}
TEST_CASE("[Projection] Values access") {
Projection proj(
Vector4(00, 01, 02, 03),
Vector4(10, 11, 12, 13),
Vector4(20, 21, 22, 23),
Vector4(30, 31, 32, 33));
CHECK(proj[0] == Vector4(00, 01, 02, 03));
CHECK(proj[1] == Vector4(10, 11, 12, 13));
CHECK(proj[2] == Vector4(20, 21, 22, 23));
CHECK(proj[3] == Vector4(30, 31, 32, 33));
}
TEST_CASE("[Projection] flip_y() and flipped_y()") {
Projection proj(
Vector4(00, 01, 02, 03),
Vector4(10, 11, 12, 13),
Vector4(20, 21, 22, 23),
Vector4(30, 31, 32, 33));
Projection flipped = proj.flipped_y();
CHECK(flipped[0] == proj[0]);
CHECK(flipped[1] == -proj[1]);
CHECK(flipped[2] == proj[2]);
CHECK(flipped[3] == proj[3]);
proj.flip_y();
CHECK(proj[0] == flipped[0]);
CHECK(proj[1] == flipped[1]);
CHECK(proj[2] == flipped[2]);
CHECK(proj[3] == flipped[3]);
}
TEST_CASE("[Projection] Jitter offset") {
Projection proj(
Vector4(00, 01, 02, 03),
Vector4(10, 11, 12, 13),
Vector4(20, 21, 22, 23),
Vector4(30, 31, 32, 33));
Projection offsetted = proj.jitter_offseted(Vector2(1, 2));
CHECK(offsetted[0] == proj[0]);
CHECK(offsetted[1] == proj[1]);
CHECK(offsetted[2] == proj[2]);
CHECK(offsetted[3] == proj[3] + Vector4(1, 2, 0, 0));
proj.add_jitter_offset(Vector2(1, 2));
CHECK(proj[0] == offsetted[0]);
CHECK(proj[1] == offsetted[1]);
CHECK(proj[2] == offsetted[2]);
CHECK(proj[3] == offsetted[3]);
}
TEST_CASE("[Projection] Adjust znear") {
Projection persp = Projection::create_perspective(90, 0.5, 1, 50, false);
Projection adjusted = persp.perspective_znear_adjusted(2);
CHECK(adjusted[0] == persp[0]);
CHECK(adjusted[1] == persp[1]);
CHECK(adjusted[2].is_equal_approx(Vector4(persp[2][0], persp[2][1], -1.083333, persp[2][3])));
CHECK(adjusted[3].is_equal_approx(Vector4(persp[3][0], persp[3][1], -4.166666, persp[3][3])));
persp.adjust_perspective_znear(2);
CHECK(persp[0] == adjusted[0]);
CHECK(persp[1] == adjusted[1]);
CHECK(persp[2] == adjusted[2]);
CHECK(persp[3] == adjusted[3]);
}
TEST_CASE("[Projection] Set light bias") {
Projection proj;
proj.set_light_bias();
CHECK(proj[0] == Vector4(0.5, 0, 0, 0));
CHECK(proj[1] == Vector4(0, 0.5, 0, 0));
CHECK(proj[2] == Vector4(0, 0, 0.5, 0));
CHECK(proj[3] == Vector4(0.5, 0.5, 0.5, 1));
}
TEST_CASE("[Projection] Depth correction") {
Projection corrected = Projection::create_depth_correction(true);
CHECK(corrected[0] == Vector4(1, 0, 0, 0));
CHECK(corrected[1] == Vector4(0, -1, 0, 0));
CHECK(corrected[2] == Vector4(0, 0, -0.5, 0));
CHECK(corrected[3] == Vector4(0, 0, 0.5, 1));
Projection proj;
proj.set_depth_correction(true, true, true);
CHECK(proj[0] == corrected[0]);
CHECK(proj[1] == corrected[1]);
CHECK(proj[2] == corrected[2]);
CHECK(proj[3] == corrected[3]);
proj.set_depth_correction(false, true, true);
CHECK(proj[0] == Vector4(1, 0, 0, 0));
CHECK(proj[1] == Vector4(0, 1, 0, 0));
CHECK(proj[2] == Vector4(0, 0, -0.5, 0));
CHECK(proj[3] == Vector4(0, 0, 0.5, 1));
proj.set_depth_correction(false, false, true);
CHECK(proj[0] == Vector4(1, 0, 0, 0));
CHECK(proj[1] == Vector4(0, 1, 0, 0));
CHECK(proj[2] == Vector4(0, 0, 0.5, 0));
CHECK(proj[3] == Vector4(0, 0, 0.5, 1));
proj.set_depth_correction(false, false, false);
CHECK(proj[0] == Vector4(1, 0, 0, 0));
CHECK(proj[1] == Vector4(0, 1, 0, 0));
CHECK(proj[2] == Vector4(0, 0, 1, 0));
CHECK(proj[3] == Vector4(0, 0, 0, 1));
proj.set_depth_correction(true, true, false);
CHECK(proj[0] == Vector4(1, 0, 0, 0));
CHECK(proj[1] == Vector4(0, -1, 0, 0));
CHECK(proj[2] == Vector4(0, 0, -1, 0));
CHECK(proj[3] == Vector4(0, 0, 0, 1));
}
TEST_CASE("[Projection] Light atlas rect") {
Projection rect = Projection::create_light_atlas_rect(Rect2(1, 2, 30, 40));
CHECK(rect[0] == Vector4(30, 0, 0, 0));
CHECK(rect[1] == Vector4(0, 40, 0, 0));
CHECK(rect[2] == Vector4(0, 0, 1, 0));
CHECK(rect[3] == Vector4(1, 2, 0, 1));
Projection proj;
proj.set_light_atlas_rect(Rect2(1, 2, 30, 40));
CHECK(proj[0] == rect[0]);
CHECK(proj[1] == rect[1]);
CHECK(proj[2] == rect[2]);
CHECK(proj[3] == rect[3]);
}
TEST_CASE("[Projection] Make scale") {
Projection proj;
proj.make_scale(Vector3(2, 3, 4));
CHECK(proj[0] == Vector4(2, 0, 0, 0));
CHECK(proj[1] == Vector4(0, 3, 0, 0));
CHECK(proj[2] == Vector4(0, 0, 4, 0));
CHECK(proj[3] == Vector4(0, 0, 0, 1));
}
TEST_CASE("[Projection] Scale translate to fit aabb") {
Projection fit = Projection::create_fit_aabb(AABB(Vector3(), Vector3(0.1, 0.2, 0.4)));
CHECK(fit[0] == Vector4(20, 0, 0, 0));
CHECK(fit[1] == Vector4(0, 10, 0, 0));
CHECK(fit[2] == Vector4(0, 0, 5, 0));
CHECK(fit[3] == Vector4(-1, -1, -1, 1));
Projection proj;
proj.scale_translate_to_fit(AABB(Vector3(), Vector3(0.1, 0.2, 0.4)));
CHECK(proj[0] == fit[0]);
CHECK(proj[1] == fit[1]);
CHECK(proj[2] == fit[2]);
CHECK(proj[3] == fit[3]);
}
TEST_CASE("[Projection] Perspective") {
Projection persp = Projection::create_perspective(90, 0.5, 5, 15, false);
CHECK(persp[0].is_equal_approx(Vector4(2, 0, 0, 0)));
CHECK(persp[1].is_equal_approx(Vector4(0, 1, 0, 0)));
CHECK(persp[2].is_equal_approx(Vector4(0, 0, -2, -1)));
CHECK(persp[3].is_equal_approx(Vector4(0, 0, -15, 0)));
Projection proj;
proj.set_perspective(90, 0.5, 5, 15, false);
CHECK(proj[0] == persp[0]);
CHECK(proj[1] == persp[1]);
CHECK(proj[2] == persp[2]);
CHECK(proj[3] == persp[3]);
}
TEST_CASE("[Projection] Frustum") {
Projection frustum = Projection::create_frustum(15, 20, 10, 12, 5, 15);
CHECK(frustum[0].is_equal_approx(Vector4(2, 0, 0, 0)));
CHECK(frustum[1].is_equal_approx(Vector4(0, 5, 0, 0)));
CHECK(frustum[2].is_equal_approx(Vector4(7, 11, -2, -1)));
CHECK(frustum[3].is_equal_approx(Vector4(0, 0, -15, 0)));
Projection proj;
proj.set_frustum(15, 20, 10, 12, 5, 15);
CHECK(proj[0] == frustum[0]);
CHECK(proj[1] == frustum[1]);
CHECK(proj[2] == frustum[2]);
CHECK(proj[3] == frustum[3]);
}
TEST_CASE("[Projection] Ortho") {
Projection ortho = Projection::create_orthogonal(15, 20, 10, 12, 5, 15);
CHECK(ortho[0].is_equal_approx(Vector4(0.4, 0, 0, 0)));
CHECK(ortho[1].is_equal_approx(Vector4(0, 1, 0, 0)));
CHECK(ortho[2].is_equal_approx(Vector4(0, 0, -0.2, 0)));
CHECK(ortho[3].is_equal_approx(Vector4(-7, -11, -2, 1)));
Projection proj;
proj.set_orthogonal(15, 20, 10, 12, 5, 15);
CHECK(proj[0] == ortho[0]);
CHECK(proj[1] == ortho[1]);
CHECK(proj[2] == ortho[2]);
CHECK(proj[3] == ortho[3]);
}
TEST_CASE("[Projection] get_fovy()") {
double fov = Projection::get_fovy(90, 0.5);
CHECK(fov == doctest::Approx(53.1301));
}
TEST_CASE("[Projection] Perspective values extraction") {
Projection persp = Projection::create_perspective(90, 0.5, 1, 50, true);
double znear = persp.get_z_near();
double zfar = persp.get_z_far();
double aspect = persp.get_aspect();
double fov = persp.get_fov();
CHECK(znear == doctest::Approx(1));
CHECK(zfar == doctest::Approx(50));
CHECK(aspect == doctest::Approx(0.5));
CHECK(fov == doctest::Approx(90));
}
TEST_CASE("[Projection] Orthographic check") {
Projection persp = Projection::create_perspective(90, 0.5, 1, 50, false);
Projection ortho = Projection::create_orthogonal(15, 20, 10, 12, 5, 15);
CHECK(!persp.is_orthogonal());
CHECK(ortho.is_orthogonal());
}
TEST_CASE("[Projection] Planes extraction") {
Projection persp = Projection::create_perspective(90, 1, 1, 40, false);
Vector<Plane> planes = persp.get_projection_planes(Transform3D());
CHECK(planes[Projection::PLANE_NEAR].normalized().is_equal_approx(Plane(0, 0, 1, -1)));
CHECK(planes[Projection::PLANE_FAR].normalized().is_equal_approx(Plane(0, 0, -1, 40)));
CHECK(planes[Projection::PLANE_LEFT].normalized().is_equal_approx(Plane(-0.707107, 0, 0.707107, 0)));
CHECK(planes[Projection::PLANE_TOP].normalized().is_equal_approx(Plane(0, 0.707107, 0.707107, 0)));
CHECK(planes[Projection::PLANE_RIGHT].normalized().is_equal_approx(Plane(0.707107, 0, 0.707107, 0)));
CHECK(planes[Projection::PLANE_BOTTOM].normalized().is_equal_approx(Plane(0, -0.707107, 0.707107, 0)));
Plane plane_array[6]{
persp.get_projection_plane(Projection::PLANE_NEAR),
persp.get_projection_plane(Projection::PLANE_FAR),
persp.get_projection_plane(Projection::PLANE_LEFT),
persp.get_projection_plane(Projection::PLANE_TOP),
persp.get_projection_plane(Projection::PLANE_RIGHT),
persp.get_projection_plane(Projection::PLANE_BOTTOM)
};
CHECK(plane_array[Projection::PLANE_NEAR].normalized().is_equal_approx(planes[Projection::PLANE_NEAR].normalized()));
CHECK(plane_array[Projection::PLANE_FAR].normalized().is_equal_approx(planes[Projection::PLANE_FAR].normalized()));
CHECK(plane_array[Projection::PLANE_LEFT].normalized().is_equal_approx(planes[Projection::PLANE_LEFT].normalized()));
CHECK(plane_array[Projection::PLANE_TOP].normalized().is_equal_approx(planes[Projection::PLANE_TOP].normalized()));
CHECK(plane_array[Projection::PLANE_RIGHT].normalized().is_equal_approx(planes[Projection::PLANE_RIGHT].normalized()));
CHECK(plane_array[Projection::PLANE_BOTTOM].normalized().is_equal_approx(planes[Projection::PLANE_BOTTOM].normalized()));
}
TEST_CASE("[Projection] Half extents") {
Projection persp = Projection::create_perspective(90, 1, 1, 40, false);
Vector2 ne = persp.get_viewport_half_extents();
Vector2 fe = persp.get_far_plane_half_extents();
CHECK(ne.is_equal_approx(Vector2(1, 1) * 1));
CHECK(fe.is_equal_approx(Vector2(1, 1) * 40));
}
TEST_CASE("[Projection] Endpoints") {
Projection persp = Projection::create_perspective(90, 1, 1, 40, false);
Vector3 ep[8];
persp.get_endpoints(Transform3D(), ep);
CHECK(ep[0].is_equal_approx(Vector3(-1, 1, -1) * 40));
CHECK(ep[1].is_equal_approx(Vector3(-1, -1, -1) * 40));
CHECK(ep[2].is_equal_approx(Vector3(1, 1, -1) * 40));
CHECK(ep[3].is_equal_approx(Vector3(1, -1, -1) * 40));
CHECK(ep[4].is_equal_approx(Vector3(-1, 1, -1) * 1));
CHECK(ep[5].is_equal_approx(Vector3(-1, -1, -1) * 1));
CHECK(ep[6].is_equal_approx(Vector3(1, 1, -1) * 1));
CHECK(ep[7].is_equal_approx(Vector3(1, -1, -1) * 1));
}
} //namespace TestProjection
#endif // TEST_PROJECTION_H
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