Handle corner cases for curve baking
When control point and point have equal position, the derivative is 0 vector, which cause error message in Basis::look_at(). This commit handles this case.
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db6976eed4
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3 changed files with 36 additions and 11 deletions
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@ -274,13 +274,10 @@ void Path3DGizmo::redraw() {
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// Fish Bone.
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v3p.push_back(p1);
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v3p.push_back(p1 + (side - forward) * 0.06);
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v3p.push_back(p1 + (side - forward + up * 0.3) * 0.06);
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v3p.push_back(p1);
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v3p.push_back(p1 + (-side - forward) * 0.06);
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v3p.push_back(p1);
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v3p.push_back(p1 + up * 0.03);
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v3p.push_back(p1 + (-side - forward + up * 0.3) * 0.06);
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}
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add_lines(v3p, path_material);
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@ -790,6 +790,19 @@ void Curve2D::_bake_segment2d_even_length(RBMap<real_t, Vector2> &r_bake, real_t
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}
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}
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Vector2 Curve2D::_calculate_tangent(const Vector2 &p_begin, const Vector2 &p_control_1, const Vector2 &p_control_2, const Vector2 &p_end, const real_t p_t) {
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// Handle corner cases.
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if (Math::is_zero_approx(p_t - 0.0f) && p_control_1.is_equal_approx(p_begin)) {
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return (p_end - p_begin).normalized();
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}
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if (Math::is_zero_approx(p_t - 1.0f) && p_control_2.is_equal_approx(p_end)) {
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return (p_end - p_begin).normalized();
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}
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return p_begin.bezier_derivative(p_control_1, p_control_2, p_end, p_t).normalized();
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}
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void Curve2D::_bake() const {
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if (!baked_cache_dirty) {
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return;
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@ -835,19 +848,19 @@ void Curve2D::_bake() const {
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// Collect positions and sample tilts and tangents for each baked points.
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bpw[0] = points[0].position;
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bfw[0] = points[0].position.bezier_derivative(points[0].position + points[0].out, points[1].position + points[1].in, points[1].position, 0.0).normalized();
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bfw[0] = _calculate_tangent(points[0].position, points[0].position + points[0].out, points[1].position + points[1].in, points[1].position, 0.0);
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int pidx = 0;
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for (int i = 0; i < points.size() - 1; i++) {
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for (const KeyValue<real_t, Vector2> &E : midpoints[i]) {
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pidx++;
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bpw[pidx] = E.value;
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bfw[pidx] = points[i].position.bezier_derivative(points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, E.key).normalized();
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bfw[pidx] = _calculate_tangent(points[i].position, points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, E.key);
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}
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pidx++;
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bpw[pidx] = points[i + 1].position;
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bfw[pidx] = points[i].position.bezier_derivative(points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, 1.0).normalized();
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bfw[pidx] = _calculate_tangent(points[i].position, points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, 1.0);
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}
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// Recalculate the baked distances.
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@ -1480,6 +1493,19 @@ void Curve3D::_bake_segment3d_even_length(RBMap<real_t, Vector3> &r_bake, real_t
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}
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}
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Vector3 Curve3D::_calculate_tangent(const Vector3 &p_begin, const Vector3 &p_control_1, const Vector3 &p_control_2, const Vector3 &p_end, const real_t p_t) {
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// Handle corner cases.
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if (Math::is_zero_approx(p_t - 0.0f) && p_control_1.is_equal_approx(p_begin)) {
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return (p_end - p_begin).normalized();
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}
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if (Math::is_zero_approx(p_t - 1.0f) && p_control_2.is_equal_approx(p_end)) {
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return (p_end - p_begin).normalized();
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}
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return p_begin.bezier_derivative(p_control_1, p_control_2, p_end, p_t).normalized();
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}
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void Curve3D::_bake() const {
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if (!baked_cache_dirty) {
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return;
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@ -1539,7 +1565,7 @@ void Curve3D::_bake() const {
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// Collect positions and sample tilts and tangents for each baked points.
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bpw[0] = points[0].position;
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bfw[0] = points[0].position.bezier_derivative(points[0].position + points[0].out, points[1].position + points[1].in, points[1].position, 0.0).normalized();
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bfw[0] = _calculate_tangent(points[0].position, points[0].position + points[0].out, points[1].position + points[1].in, points[1].position, 0.0);
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btw[0] = points[0].tilt;
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int pidx = 0;
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@ -1547,13 +1573,13 @@ void Curve3D::_bake() const {
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for (const KeyValue<real_t, Vector3> &E : midpoints[i]) {
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pidx++;
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bpw[pidx] = E.value;
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bfw[pidx] = points[i].position.bezier_derivative(points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, E.key).normalized();
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bfw[pidx] = _calculate_tangent(points[i].position, points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, E.key);
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btw[pidx] = Math::lerp(points[i].tilt, points[i + 1].tilt, E.key);
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}
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pidx++;
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bpw[pidx] = points[i + 1].position;
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bfw[pidx] = points[i].position.bezier_derivative(points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, 1.0).normalized();
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bfw[pidx] = _calculate_tangent(points[i].position, points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, 1.0);
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btw[pidx] = points[i + 1].tilt;
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}
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@ -178,6 +178,7 @@ class Curve2D : public Resource {
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void mark_dirty();
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static Vector2 _calculate_tangent(const Vector2 &p_begin, const Vector2 &p_control_1, const Vector2 &p_control_2, const Vector2 &p_end, const real_t p_t);
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void _bake() const;
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real_t bake_interval = 5.0;
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@ -261,6 +262,7 @@ class Curve3D : public Resource {
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void mark_dirty();
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static Vector3 _calculate_tangent(const Vector3 &p_begin, const Vector3 &p_control_1, const Vector3 &p_control_2, const Vector3 &p_end, const real_t p_t);
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void _bake() const;
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struct Interval {
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