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Refactor Curve3D::_bake() method

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The main change is to caculate tangent directly from bezier curve, without going
through discretized polyline, avoiding pitfalls of discretization.

Other changes are:
1. Add an bezier_derivative() method for Vector3, Vector2, and Math;
2. Add an tesselate_even_length() method to Curve3D, which tesselate bezier curve to even length segments adaptively;
3. Cache the tangent vectors in baked_tangent_vector_cache;
This commit is contained in:
Yaohua Xiong
2022-11-23 11:11:58 +08:00
parent fa270c2456
commit f9fa182abc
11 changed files with 223 additions and 130 deletions
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5
core/variant/variant_utility.cpp
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@@ -392,6 +392,10 @@ struct VariantUtilityFunctions {
return Math::bezier_interpolate(p_start, p_control_1, p_control_2, p_end, p_t);
}
static inline double bezier_derivative(double p_start, double p_control_1, double p_control_2, double p_end, double p_t) {
return Math::bezier_derivative(p_start, p_control_1, p_control_2, p_end, p_t);
}
static inline double lerp_angle(double from, double to, double weight) {
return Math::lerp_angle(from, to, weight);
}
@@ -1440,6 +1444,7 @@ void Variant::_register_variant_utility_functions() {
FUNCBINDR(cubic_interpolate_in_time, sarray("from", "to", "pre", "post", "weight", "to_t", "pre_t", "post_t"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(cubic_interpolate_angle_in_time, sarray("from", "to", "pre", "post", "weight", "to_t", "pre_t", "post_t"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(bezier_interpolate, sarray("start", "control_1", "control_2", "end", "t"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(bezier_derivative, sarray("start", "control_1", "control_2", "end", "t"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(lerp_angle, sarray("from", "to", "weight"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(inverse_lerp, sarray("from", "to", "weight"), Variant::UTILITY_FUNC_TYPE_MATH);
FUNCBINDR(remap, sarray("value", "istart", "istop", "ostart", "ostop"), Variant::UTILITY_FUNC_TYPE_MATH);