diff options
Diffstat (limited to 'core/math/math_2d.cpp')
| -rw-r--r-- | core/math/math_2d.cpp | 34 |
1 files changed, 32 insertions, 2 deletions
diff --git a/core/math/math_2d.cpp b/core/math/math_2d.cpp index 0a3963f88f..88717723ce 100644 --- a/core/math/math_2d.cpp +++ b/core/math/math_2d.cpp @@ -622,9 +622,39 @@ float Matrix32::basis_determinant() const { } Matrix32 Matrix32::interpolate_with(const Matrix32& p_transform, float p_c) const { + + //extract parameters + Vector2 p1 = get_origin(); + Vector2 p2 = p_transform.get_origin(); + + real_t r1 = get_rotation(); + real_t r2 = p_transform.get_rotation(); + + Vector2 s1 = get_scale(); + Vector2 s2 = p_transform.get_scale(); + + //slerp rotation + Vector2 v1(Math::cos(r1), Math::sin(r1)); + Vector2 v2(Math::cos(r2), Math::sin(r2)); + + real_t dot = v1.dot(v2); + + dot = (dot < -1.0) ? -1.0 : ((dot > 1.0) ? 1.0 : dot); //clamp dot to [-1,1] + + Vector2 v; - - return Matrix32(); + if (dot > 0.9995) { + v = Vector2::linear_interpolate(v1, v2, p_c).normalized(); //linearly interpolate to avoid numerical precision issues + } else { + real_t angle = p_c*Math::acos(dot); + Vector2 v3 = (v2 - v1*dot).normalized(); + v = v1*Math::cos(angle) + v3*Math::sin(angle); + } + + //construct matrix + Matrix32 res(Math::atan2(v.y, v.x), Vector2::linear_interpolate(p1, p2, p_c)); + res.scale_basis(Vector2::linear_interpolate(s1, s2, p_c)); + return res; } Matrix32::operator String() const { |