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-rw-r--r--core/math/camera_matrix.cpp86
-rw-r--r--core/math/camera_matrix.h2
-rw-r--r--core/math/matrix3.cpp15
-rw-r--r--core/math/matrix3.h2
-rw-r--r--core/math/transform.cpp12
5 files changed, 47 insertions, 70 deletions
diff --git a/core/math/camera_matrix.cpp b/core/math/camera_matrix.cpp
index 0512cdd798..572a6c5239 100644
--- a/core/math/camera_matrix.cpp
+++ b/core/math/camera_matrix.cpp
@@ -265,76 +265,28 @@ void CameraMatrix::get_viewport_size(real_t &r_width, real_t &r_height) const {
bool CameraMatrix::get_endpoints(const Transform &p_transform, Vector3 *p_8points) const {
- const real_t *matrix = (const real_t *)this->matrix;
-
- ///////--- Near Plane ---///////
- Plane near_plane = Plane(matrix[3] + matrix[2],
- matrix[7] + matrix[6],
- matrix[11] + matrix[10],
- -matrix[15] - matrix[14]);
- near_plane.normalize();
-
- ///////--- Far Plane ---///////
- Plane far_plane = Plane(matrix[2] - matrix[3],
- matrix[6] - matrix[7],
- matrix[10] - matrix[11],
- matrix[15] - matrix[14]);
- far_plane.normalize();
-
- ///////--- Right Plane ---///////
- Plane right_plane = Plane(matrix[0] - matrix[3],
- matrix[4] - matrix[7],
- matrix[8] - matrix[11],
- -matrix[15] + matrix[12]);
- right_plane.normalize();
-
- ///////--- Top Plane ---///////
- Plane top_plane = Plane(matrix[1] - matrix[3],
- matrix[5] - matrix[7],
- matrix[9] - matrix[11],
- -matrix[15] + matrix[13]);
- top_plane.normalize();
-
- Vector3 near_endpoint_left, near_endpoint_right;
- Vector3 far_endpoint_left, far_endpoint_right;
-
- bool res = near_plane.intersect_3(right_plane, top_plane, &near_endpoint_right);
- ERR_FAIL_COND_V(!res, false);
-
- res = far_plane.intersect_3(right_plane, top_plane, &far_endpoint_right);
- ERR_FAIL_COND_V(!res, false);
-
- if ((matrix[8] == 0) && (matrix[9] == 0)) {
- near_endpoint_left = near_endpoint_right;
- near_endpoint_left.x = -near_endpoint_left.x;
-
- far_endpoint_left = far_endpoint_right;
- far_endpoint_left.x = -far_endpoint_left.x;
- } else {
- ///////--- Left Plane ---///////
- Plane left_plane = Plane(matrix[0] + matrix[3],
- matrix[4] + matrix[7],
- matrix[8] + matrix[11],
- -matrix[15] - matrix[12]);
- left_plane.normalize();
+ Vector<Plane> planes = get_projection_planes(Transform());
+ const Planes intersections[8][3]={
+ {PLANE_FAR,PLANE_LEFT,PLANE_TOP},
+ {PLANE_FAR,PLANE_LEFT,PLANE_BOTTOM},
+ {PLANE_FAR,PLANE_RIGHT,PLANE_TOP},
+ {PLANE_FAR,PLANE_RIGHT,PLANE_BOTTOM},
+ {PLANE_NEAR,PLANE_LEFT,PLANE_TOP},
+ {PLANE_NEAR,PLANE_LEFT,PLANE_BOTTOM},
+ {PLANE_NEAR,PLANE_RIGHT,PLANE_TOP},
+ {PLANE_NEAR,PLANE_RIGHT,PLANE_BOTTOM},
+ };
- res = near_plane.intersect_3(left_plane, top_plane, &near_endpoint_left);
- ERR_FAIL_COND_V(!res, false);
+ for(int i=0;i<8;i++) {
- res = far_plane.intersect_3(left_plane, top_plane, &far_endpoint_left);
+ Vector3 point;
+ bool res = planes[intersections[i][0]].intersect_3(planes[intersections[i][1]],planes[intersections[i][2]], &point);
ERR_FAIL_COND_V(!res, false);
+ p_8points[i]=p_transform.xform(point);
}
- p_8points[0] = p_transform.xform(Vector3(near_endpoint_right.x, near_endpoint_right.y, near_endpoint_right.z));
- p_8points[1] = p_transform.xform(Vector3(near_endpoint_right.x, -near_endpoint_right.y, near_endpoint_right.z));
- p_8points[2] = p_transform.xform(Vector3(near_endpoint_left.x, near_endpoint_left.y, near_endpoint_left.z));
- p_8points[3] = p_transform.xform(Vector3(near_endpoint_left.x, -near_endpoint_left.y, near_endpoint_left.z));
- p_8points[4] = p_transform.xform(Vector3(far_endpoint_right.x, far_endpoint_right.y, far_endpoint_right.z));
- p_8points[5] = p_transform.xform(Vector3(far_endpoint_right.x, -far_endpoint_right.y, far_endpoint_right.z));
- p_8points[6] = p_transform.xform(Vector3(far_endpoint_left.x, far_endpoint_left.y, far_endpoint_left.z));
- p_8points[7] = p_transform.xform(Vector3(far_endpoint_left.x, -far_endpoint_left.y, far_endpoint_left.z));
-
return true;
+
}
Vector<Plane> CameraMatrix::get_projection_planes(const Transform &p_transform) const {
@@ -610,6 +562,12 @@ int CameraMatrix::get_pixels_per_meter(int p_for_pixel_width) const {
return int((result.x * 0.5 + 0.5) * p_for_pixel_width);
}
+bool CameraMatrix::is_orthogonal() const {
+
+ return matrix[3][3]==1.0;
+}
+
+
real_t CameraMatrix::get_fov() const {
const real_t *matrix = (const real_t *)this->matrix;
diff --git a/core/math/camera_matrix.h b/core/math/camera_matrix.h
index 175d0cdb1b..87cc4b95b8 100644
--- a/core/math/camera_matrix.h
+++ b/core/math/camera_matrix.h
@@ -69,6 +69,7 @@ struct CameraMatrix {
real_t get_z_near() const;
real_t get_aspect() const;
real_t get_fov() const;
+ bool is_orthogonal() const;
Vector<Plane> get_projection_planes(const Transform &p_transform) const;
@@ -83,6 +84,7 @@ struct CameraMatrix {
Plane xform4(const Plane &p_vec4) const;
_FORCE_INLINE_ Vector3 xform(const Vector3 &p_vec3) const;
+
operator String() const;
void scale_translate_to_fit(const Rect3 &p_aabb);
diff --git a/core/math/matrix3.cpp b/core/math/matrix3.cpp
index 9732a1ff37..4051de7afb 100644
--- a/core/math/matrix3.cpp
+++ b/core/math/matrix3.cpp
@@ -234,7 +234,22 @@ Basis Basis::scaled(const Vector3 &p_scale) const {
return m;
}
+void Basis::set_scale(const Vector3 &p_scale) {
+
+ set_axis(0, get_axis(0).normalized() * p_scale.x);
+ set_axis(1, get_axis(1).normalized() * p_scale.y);
+ set_axis(2, get_axis(2).normalized() * p_scale.z);
+}
+
Vector3 Basis::get_scale() const {
+
+ return Vector3(
+ Vector3(elements[0][0], elements[1][0], elements[2][0]).length(),
+ Vector3(elements[0][1], elements[1][1], elements[2][1]).length(),
+ Vector3(elements[0][2], elements[1][2], elements[2][2]).length());
+}
+
+Vector3 Basis::get_signed_scale() const {
// FIXME: We are assuming M = R.S (R is rotation and S is scaling), and use polar decomposition to extract R and S.
// A polar decomposition is M = O.P, where O is an orthogonal matrix (meaning rotation and reflection) and
// P is a positive semi-definite matrix (meaning it contains absolute values of scaling along its diagonal).
diff --git a/core/math/matrix3.h b/core/math/matrix3.h
index 9c9080ac46..23429888e0 100644
--- a/core/math/matrix3.h
+++ b/core/math/matrix3.h
@@ -97,7 +97,9 @@ public:
void scale(const Vector3 &p_scale);
Basis scaled(const Vector3 &p_scale) const;
+ void set_scale(const Vector3 &p_scale);
Vector3 get_scale() const;
+ Vector3 get_signed_scale() const;
// transposed dot products
_FORCE_INLINE_ real_t tdotx(const Vector3 &v) const {
diff --git a/core/math/transform.cpp b/core/math/transform.cpp
index 60df69a509..638a39ab73 100644
--- a/core/math/transform.cpp
+++ b/core/math/transform.cpp
@@ -118,17 +118,17 @@ Transform Transform::interpolate_with(const Transform &p_transform, real_t p_c)
/* not sure if very "efficient" but good enough? */
- Vector3 src_scale = basis.get_scale();
- Quat src_rot = basis;
+ Vector3 src_scale = basis.get_signed_scale();
+ Quat src_rot = basis.orthonormalized();
Vector3 src_loc = origin;
- Vector3 dst_scale = p_transform.basis.get_scale();
+ Vector3 dst_scale = p_transform.basis.get_signed_scale();
Quat dst_rot = p_transform.basis;
Vector3 dst_loc = p_transform.origin;
- Transform dst;
- dst.basis = src_rot.slerp(dst_rot, p_c);
- dst.basis.scale(src_scale.linear_interpolate(dst_scale, p_c));
+ Transform dst; //this could be made faster by using a single function in Basis..
+ dst.basis = src_rot.slerp(dst_rot, p_c).normalized();
+ dst.basis.set_scale(src_scale.linear_interpolate(dst_scale, p_c));
dst.origin = src_loc.linear_interpolate(dst_loc, p_c);
return dst;