657 lines
22 KiB
Rust
657 lines
22 KiB
Rust
//! BLEND (BLE) — create a smooth spline between two open curve endpoints.
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//!
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//! The endpoint nearest each pick is used. Tangent continuity creates a cubic
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//! Bezier (G1); curvature continuity creates a quintic Bezier whose endpoint
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//! first and second derivatives reproduce the source curves' tangent and
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//! geometric curvature (G2).
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use acadrust::entities::{EntityCommon, Spline};
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use cadkernel::space::curve as space_curve;
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use acadrust::types::Vector3;
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use acadrust::{EntityType, Handle};
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use glam::DVec3;
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use crate::t;
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use cadkernel::space::NurbsCurve3;
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use crate::command::{CadCommand, CmdOption, CmdResult};
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use crate::entities::common::BulgeArc;
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use crate::scene::model::wire_model::WireModel;
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use crate::scene::view::transform::{ocs_axes, ocs_point_to_wcs};
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use super::entity_index::ModifyEntityIndex;
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const EPS: f64 = 1.0e-10;
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#[derive(Clone, Copy, PartialEq, Eq)]
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enum Continuity {
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Tangent,
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Curvature,
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}
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impl Continuity {
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fn label(self) -> &'static str {
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match self {
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Self::Tangent => "Tangent",
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Self::Curvature => "Curvature",
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}
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}
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}
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#[derive(Clone, Copy)]
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struct EndpointFrame {
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point: DVec3,
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/// Direction from the source curve interior towards its selected endpoint.
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outward: DVec3,
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/// Geometric curvature vector at the endpoint.
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curvature: DVec3,
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}
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#[derive(Clone, Copy)]
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enum BlendStep {
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First,
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Continuity {
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resume: Option<(Handle, EndpointFrame)>,
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},
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Second {
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handle: Handle,
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endpoint: EndpointFrame,
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},
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}
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pub struct BlendCommand {
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continuity: Continuity,
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step: BlendStep,
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all_entities: Vec<EntityType>,
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entity_index: ModifyEntityIndex,
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}
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impl BlendCommand {
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pub fn new(all_entities: Vec<EntityType>) -> Self {
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let entity_index = ModifyEntityIndex::build(&all_entities);
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Self {
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continuity: Continuity::Curvature,
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step: BlendStep::First,
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all_entities,
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entity_index,
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}
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}
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fn entity(&self, handle: Handle) -> Option<&EntityType> {
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self.entity_index.get(&self.all_entities, handle)
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}
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fn blend_for(
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&self,
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first_handle: Handle,
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first: EndpointFrame,
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second_handle: Handle,
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click: DVec3,
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) -> Option<Spline> {
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if first_handle == second_handle {
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return None;
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}
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let second_entity = self.entity(second_handle)?;
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let second = endpoint_frame(second_entity, click)?;
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let common = blend_common(self.entity(first_handle)?.common());
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build_blend(first, second, self.continuity, common)
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}
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}
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impl CadCommand for BlendCommand {
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fn name(&self) -> &'static str {
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"BLEND"
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}
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fn prompt(&self) -> String {
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match self.step {
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BlendStep::First => {
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let c = self.continuity.label();
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t!(
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"BLEND Select first open curve [Continuity=%{c}]:",
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c = c
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)
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.into_owned()
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}
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BlendStep::Continuity { .. } => {
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let c = self.continuity.label();
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t!(
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"BLEND Enter continuity [Tangent/Curvature] <%{c}>:",
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c = c
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)
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.into_owned()
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}
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BlendStep::Second { .. } => {
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let c = self.continuity.label();
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t!(
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"BLEND Select second open curve [Continuity=%{c}]:",
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c = c
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)
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.into_owned()
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}
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}
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}
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fn options(&self) -> Vec<CmdOption> {
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match self.step {
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BlendStep::First | BlendStep::Second { .. } => {
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vec![CmdOption::new(t!("Continuity").as_ref(), "C")]
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}
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BlendStep::Continuity { .. } => vec![
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CmdOption::new(t!("Tangent").as_ref(), "T"),
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CmdOption::new(t!("Curvature").as_ref(), "C"),
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],
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}
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}
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fn wants_text_input(&self) -> bool {
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matches!(self.step, BlendStep::Continuity { .. })
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}
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fn on_text_input(&mut self, text: &str) -> Option<CmdResult> {
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let upper = text.trim().to_ascii_uppercase();
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match self.step {
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BlendStep::First => {
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if upper == "C" || upper == "CONTINUITY" {
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self.step = BlendStep::Continuity { resume: None };
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Some(CmdResult::NeedPoint)
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} else {
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None
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}
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}
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BlendStep::Second { handle, endpoint } => {
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if upper == "C" || upper == "CONTINUITY" {
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self.step = BlendStep::Continuity {
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resume: Some((handle, endpoint)),
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};
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Some(CmdResult::NeedPoint)
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} else {
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None
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}
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}
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BlendStep::Continuity { resume } => {
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if upper.is_empty() {
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self.step = resume
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.map(|(handle, endpoint)| BlendStep::Second { handle, endpoint })
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.unwrap_or(BlendStep::First);
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return Some(CmdResult::NeedPoint);
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}
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match upper.as_str() {
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"T" | "TANGENT" => self.continuity = Continuity::Tangent,
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"C" | "CURVATURE" => self.continuity = Continuity::Curvature,
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_ => return Some(CmdResult::NeedPoint),
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}
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self.step = resume
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.map(|(handle, endpoint)| BlendStep::Second { handle, endpoint })
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.unwrap_or(BlendStep::First);
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Some(CmdResult::NeedPoint)
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}
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}
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}
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fn needs_entity_pick(&self) -> bool {
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!matches!(self.step, BlendStep::Continuity { .. })
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}
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fn entity_pick_highlights_hover(&self) -> bool {
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true
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}
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fn on_entity_pick(&mut self, handle: Handle, click: DVec3) -> CmdResult {
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if handle.is_null() {
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return CmdResult::NeedPoint;
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}
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match self.step {
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BlendStep::First => {
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let Some(endpoint) = self.entity(handle).and_then(|e| endpoint_frame(e, click))
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else {
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return CmdResult::NeedPoint;
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};
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self.step = BlendStep::Second { handle, endpoint };
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CmdResult::NeedPoint
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}
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BlendStep::Second {
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handle: first_handle,
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endpoint: first,
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} => self
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.blend_for(first_handle, first, handle, click)
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.map(EntityType::Spline)
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.map(CmdResult::CommitAndExit)
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.unwrap_or(CmdResult::NeedPoint),
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BlendStep::Continuity { .. } => CmdResult::NeedPoint,
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}
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}
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fn on_hover_entity(&mut self, handle: Handle, click: DVec3) -> Vec<WireModel> {
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let BlendStep::Second {
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handle: first_handle,
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endpoint: first,
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} = self.step
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else {
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return Vec::new();
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};
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let Some(spline) = self.blend_for(first_handle, first, handle, click) else {
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return Vec::new();
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};
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vec![WireModel::solid_f64(
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"blend_preview".into(),
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sample_bezier(&spline.control_points, 64),
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WireModel::CYAN,
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false,
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)]
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}
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fn on_point(&mut self, _pt: DVec3) -> CmdResult {
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CmdResult::NeedPoint
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}
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fn on_enter(&mut self) -> CmdResult {
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if let BlendStep::Continuity { resume } = self.step {
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self.step = resume
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.map(|(handle, endpoint)| BlendStep::Second { handle, endpoint })
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.unwrap_or(BlendStep::First);
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CmdResult::NeedPoint
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} else {
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CmdResult::Cancel
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}
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}
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}
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fn blend_common(source: &EntityCommon) -> EntityCommon {
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let mut common = EntityCommon::new();
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common.layer = source.layer.clone();
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common.color = source.color;
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common.line_weight = source.line_weight;
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common.linetype = source.linetype.clone();
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common.linetype_handle = source.linetype_handle;
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common.linetype_scale = source.linetype_scale;
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common.transparency = source.transparency;
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common
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}
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fn build_blend(
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first: EndpointFrame,
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second: EndpointFrame,
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continuity: Continuity,
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common: EntityCommon,
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) -> Option<Spline> {
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let chord = second.point - first.point;
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let length = chord.length();
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if length <= EPS || !length.is_finite() {
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return None;
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}
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let t0 = first.outward.try_normalize()?;
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// The source's outward direction at the second end points away from the
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// blend. Reverse it to get the blend's arrival direction.
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let t1 = -second.outward.try_normalize()?;
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let (degree, points) = match continuity {
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Continuity::Tangent => {
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let handle = length / 3.0;
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(
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3,
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vec![
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first.point,
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first.point + handle * t0,
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second.point - handle * t1,
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second.point,
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],
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)
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}
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Continuity::Curvature => {
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// Smaller endpoint speeds prevent a tight source curve joined over
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// a long gap from creating enormous inner control points. Changing
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// speed does not change the matched geometric curvature.
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let speed0 = endpoint_speed(length, first.curvature.length());
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let speed1 = endpoint_speed(length, second.curvature.length());
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let p0 = first.point;
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let p1 = p0 + (speed0 / 5.0) * t0;
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let p2 = 2.0 * p1 - p0 + (speed0 * speed0 / 20.0) * first.curvature;
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let p5 = second.point;
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let p4 = p5 - (speed1 / 5.0) * t1;
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let p3 = 2.0 * p4 - p5 + (speed1 * speed1 / 20.0) * second.curvature;
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(5, vec![p0, p1, p2, p3, p4, p5])
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}
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};
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let mut spline = Spline::new();
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spline.common = common;
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spline.degree = degree;
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spline.knots = Spline::generate_clamped_knots(degree as usize, points.len());
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spline.control_points = points
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.into_iter()
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.map(|p| Vector3::new(p.x, p.y, p.z))
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.collect();
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Some(spline)
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}
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fn endpoint_speed(chord: f64, curvature: f64) -> f64 {
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if curvature <= EPS {
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chord
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} else {
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chord.min((2.0 * chord / curvature).sqrt())
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}
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}
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fn endpoint_frame(entity: &EntityType, click: DVec3) -> Option<EndpointFrame> {
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match entity {
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EntityType::Line(line) => {
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let start = to_dvec(line.start);
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let end = to_dvec(line.end);
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segment_endpoint(start, end, click)
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}
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EntityType::Arc(arc) => arc_endpoint(arc, click),
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EntityType::LwPolyline(poly) if !poly.is_closed => {
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let n = poly.vertices.len();
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if n < 2 {
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return None;
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}
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let normal = to_dvec(poly.normal).normalize_or_zero();
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let selected_start = click.distance_squared(lw_point(poly, 0))
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<= click.distance_squared(lw_point(poly, n - 1));
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let segment = if selected_start { 0 } else { n - 2 };
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planar_segment_endpoint(
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[
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poly.vertices[segment].location.x,
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poly.vertices[segment].location.y,
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],
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[
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poly.vertices[segment + 1].location.x,
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poly.vertices[segment + 1].location.y,
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],
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poly.vertices[segment].bulge,
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poly.elevation,
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normal,
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selected_start,
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)
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}
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EntityType::Polyline2D(poly) if !poly.is_closed() => {
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let filtered = crate::entities::polyline::drawn_vertices2d(poly);
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let vertices = filtered.as_deref().unwrap_or(&poly.vertices);
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let n = vertices.len();
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if n < 2 {
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return None;
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}
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let normal = to_dvec(poly.normal).normalize_or_zero();
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let first = ocs_to_dvec(
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vertices[0].location.x,
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vertices[0].location.y,
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poly.elevation,
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normal,
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);
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let last = ocs_to_dvec(
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vertices[n - 1].location.x,
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vertices[n - 1].location.y,
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poly.elevation,
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normal,
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);
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let selected_start = click.distance_squared(first) <= click.distance_squared(last);
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let segment = if selected_start { 0 } else { n - 2 };
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planar_segment_endpoint(
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[vertices[segment].location.x, vertices[segment].location.y],
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[
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vertices[segment + 1].location.x,
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vertices[segment + 1].location.y,
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],
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vertices[segment].bulge,
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poly.elevation,
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normal,
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selected_start,
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)
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}
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EntityType::Polyline(poly) if !poly.is_closed() => {
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let points: Vec<_> = poly.vertices.iter().map(|v| to_dvec(v.location)).collect();
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polyline_endpoint(&points, click)
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}
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EntityType::Polyline3D(poly) if !poly.is_closed() => {
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let points: Vec<_> = poly.vertices.iter().map(|v| to_dvec(v.position)).collect();
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polyline_endpoint(&points, click)
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}
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EntityType::Spline(spline) if !spline.flags.closed && !spline.flags.periodic => {
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spline_endpoint(spline, click)
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}
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_ => None,
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}
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}
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fn segment_endpoint(start: DVec3, end: DVec3, click: DVec3) -> Option<EndpointFrame> {
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let direction = (end - start).try_normalize()?;
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if click.distance_squared(start) <= click.distance_squared(end) {
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Some(EndpointFrame {
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point: start,
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outward: -direction,
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curvature: DVec3::ZERO,
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})
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} else {
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Some(EndpointFrame {
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point: end,
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outward: direction,
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curvature: DVec3::ZERO,
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})
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}
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}
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fn polyline_endpoint(points: &[DVec3], click: DVec3) -> Option<EndpointFrame> {
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if points.len() < 2 {
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return None;
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}
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if click.distance_squared(points[0]) <= click.distance_squared(points[points.len() - 1]) {
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segment_endpoint(points[0], points[1], points[0])
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} else {
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segment_endpoint(
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points[points.len() - 2],
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points[points.len() - 1],
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points[points.len() - 1],
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)
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}
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}
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fn arc_endpoint(arc: &acadrust::entities::Arc, click: DVec3) -> Option<EndpointFrame> {
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if arc.radius <= EPS {
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return None;
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}
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let normal_tuple = (arc.normal.x, arc.normal.y, arc.normal.z);
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let normal = to_dvec(arc.normal).try_normalize()?;
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let (ax, ay) = ocs_axes(normal_tuple);
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let axis_x = DVec3::new(ax.0, ax.1, ax.2);
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let axis_y = DVec3::new(ay.0, ay.1, ay.2);
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let center = tuple_to_dvec(ocs_point_to_wcs(
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(arc.center.x, arc.center.y, arc.center.z),
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normal_tuple,
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));
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let at = |angle: f64| center + arc.radius * (angle.cos() * axis_x + angle.sin() * axis_y);
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let start = at(arc.start_angle);
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let end = at(arc.end_angle);
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let (point, angle, at_start) = if click.distance_squared(start) <= click.distance_squared(end) {
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(start, arc.start_angle, true)
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} else {
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(end, arc.end_angle, false)
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};
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let tangent = normal
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.cross(point - center)
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.try_normalize()
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.or_else(|| (-angle.sin() * axis_x + angle.cos() * axis_y).try_normalize())?;
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Some(EndpointFrame {
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point,
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outward: if at_start { -tangent } else { tangent },
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curvature: (center - point) / (arc.radius * arc.radius),
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})
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}
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fn lw_point(poly: &acadrust::entities::LwPolyline, index: usize) -> DVec3 {
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let normal = to_dvec(poly.normal).normalize_or_zero();
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let p = poly.vertices[index].location;
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ocs_to_dvec(p.x, p.y, poly.elevation, normal)
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}
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fn planar_segment_endpoint(
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p0: [f64; 2],
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p1: [f64; 2],
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bulge: f64,
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elevation: f64,
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normal: DVec3,
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selected_start: bool,
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) -> Option<EndpointFrame> {
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if normal.length_squared() <= EPS {
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return None;
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}
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let start = ocs_to_dvec(p0[0], p0[1], elevation, normal);
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let end = ocs_to_dvec(p1[0], p1[1], elevation, normal);
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let Some(arc) = BulgeArc::from_bulge(p0, p1, bulge) else {
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return segment_endpoint(start, end, if selected_start { start } else { end });
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};
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let center = ocs_to_dvec(arc.center[0], arc.center[1], elevation, normal);
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let point = if selected_start { start } else { end };
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let traversal_tangent = (normal.cross(point - center) * bulge.signum()).try_normalize()?;
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Some(EndpointFrame {
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point,
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outward: if selected_start {
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-traversal_tangent
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} else {
|
|
traversal_tangent
|
|
},
|
|
curvature: (center - point) / (arc.radius * arc.radius),
|
|
})
|
|
}
|
|
|
|
fn spline_endpoint(spline: &Spline, click: DVec3) -> Option<EndpointFrame> {
|
|
if spline.control_points.len() >= 2 {
|
|
return spline_control_endpoint(spline, click);
|
|
}
|
|
let points: Vec<_> = spline.fit_points.iter().copied().map(to_dvec).collect();
|
|
if points.len() < 2 {
|
|
return None;
|
|
}
|
|
let at_start =
|
|
click.distance_squared(points[0]) <= click.distance_squared(points[points.len() - 1]);
|
|
let index = if at_start { 0 } else { points.len() - 1 };
|
|
let tangent = if at_start {
|
|
let stored = to_dvec(spline.begin_tangent);
|
|
if stored.length_squared() > EPS {
|
|
stored
|
|
} else {
|
|
points[1] - points[0]
|
|
}
|
|
} else {
|
|
let stored = to_dvec(spline.end_tangent);
|
|
if stored.length_squared() > EPS {
|
|
stored
|
|
} else {
|
|
points[index] - points[index - 1]
|
|
}
|
|
}
|
|
.try_normalize()?;
|
|
let curvature = if points.len() >= 3 {
|
|
if at_start {
|
|
circumcircle_curvature(points[0], points[1], points[2])
|
|
} else {
|
|
circumcircle_curvature(points[index], points[index - 1], points[index - 2])
|
|
}
|
|
} else {
|
|
DVec3::ZERO
|
|
};
|
|
Some(EndpointFrame {
|
|
point: points[index],
|
|
outward: if at_start { -tangent } else { tangent },
|
|
curvature,
|
|
})
|
|
}
|
|
|
|
fn spline_control_endpoint(spline: &Spline, click: DVec3) -> Option<EndpointFrame> {
|
|
let count = spline.control_points.len();
|
|
let degree = usize::try_from(spline.degree).ok()?;
|
|
if degree == 0 || count <= degree {
|
|
return None;
|
|
}
|
|
// The kernel's space curve holds the rational and the polynomial case
|
|
// alike — weights absent means polynomial — so there is nothing here to
|
|
// tell apart, and a malformed knot vector is replaced with a clamped
|
|
// uniform one rather than refused.
|
|
let controls: Vec<[f64; 3]> = spline
|
|
.control_points
|
|
.iter()
|
|
.map(|point| [point.x, point.y, point.z])
|
|
.collect();
|
|
let weights = (spline.weights.len() == count).then(|| {
|
|
spline
|
|
.weights
|
|
.iter()
|
|
.map(|weight| if weight.abs() <= EPS { 1.0 } else { *weight })
|
|
.collect()
|
|
});
|
|
let curve = NurbsCurve3::new(degree, controls, spline.knots.clone(), weights)?;
|
|
|
|
let (start, end) = curve.domain();
|
|
let at_start = click.distance_squared(point_to_dvec(curve.point_at_knot(start)))
|
|
<= click.distance_squared(point_to_dvec(curve.point_at_knot(end)));
|
|
let parameter = if at_start { start } else { end };
|
|
curve_frame(
|
|
point_to_dvec(curve.point_at_knot(parameter)),
|
|
point_to_dvec(curve.tangent_at_knot(parameter)),
|
|
point_to_dvec(curve.acceleration_at_knot(parameter)),
|
|
at_start,
|
|
)
|
|
}
|
|
|
|
fn curve_frame(
|
|
point: DVec3,
|
|
first_derivative: DVec3,
|
|
second_derivative: DVec3,
|
|
at_start: bool,
|
|
) -> Option<EndpointFrame> {
|
|
let speed_squared = first_derivative.length_squared();
|
|
if speed_squared <= EPS {
|
|
return None;
|
|
}
|
|
let tangent = first_derivative / speed_squared.sqrt();
|
|
let normal_second = second_derivative - tangent * second_derivative.dot(tangent);
|
|
Some(EndpointFrame {
|
|
point,
|
|
outward: if at_start { -tangent } else { tangent },
|
|
curvature: normal_second / speed_squared,
|
|
})
|
|
}
|
|
|
|
/// The curvature vector at `point` of the circle through the three points.
|
|
fn circumcircle_curvature(point: DVec3, next: DVec3, third: DVec3) -> DVec3 {
|
|
let curvature = space_curve::curvature_through(
|
|
[point.x, point.y, point.z],
|
|
[next.x, next.y, next.z],
|
|
[third.x, third.y, third.z],
|
|
);
|
|
DVec3::new(curvature[0], curvature[1], curvature[2])
|
|
}
|
|
|
|
/// A Bézier control polygon sampled into a polyline.
|
|
///
|
|
/// De Casteljau, from the kernel. What was here summed Bernstein terms with
|
|
/// binomial coefficients out of a lookup table that had entries for degrees
|
|
/// three and five and returned one for everything else — correct only for
|
|
/// the two the blend happens to build today, and quietly wrong the moment a
|
|
/// third was added.
|
|
fn sample_bezier(control_points: &[Vector3], segments: usize) -> Vec<[f64; 3]> {
|
|
let control: Vec<[f64; 3]> = control_points
|
|
.iter()
|
|
.map(|p| [p.x, p.y, p.z])
|
|
.collect();
|
|
space_curve::bezier_points(&control, segments)
|
|
}
|
|
|
|
fn ocs_to_dvec(x: f64, y: f64, z: f64, normal: DVec3) -> DVec3 {
|
|
tuple_to_dvec(ocs_point_to_wcs((x, y, z), (normal.x, normal.y, normal.z)))
|
|
}
|
|
|
|
fn tuple_to_dvec(point: (f64, f64, f64)) -> DVec3 {
|
|
DVec3::new(point.0, point.1, point.2)
|
|
}
|
|
|
|
fn to_dvec(point: Vector3) -> DVec3 {
|
|
DVec3::new(point.x, point.y, point.z)
|
|
}
|
|
|
|
fn point_to_dvec(point: [f64; 3]) -> DVec3 {
|
|
DVec3::new(point[0], point[1], point[2])
|
|
}
|
|
|
|
inventory::submit!(crate::command::CommandRegistration {
|
|
names: &["BLEND", "BLE"]
|
|
});
|