Merge pull request #1366 from ramox81/codex/equal-constraint-parity

Bring the Equal constraint to reference parity

# Conflicts:
#	src/command.rs

src/app/command_driver.rs

@@ -767,6 +767,21 @@ impl OpenCADStudio {
                     if self.command_point_allowed(i, wcs) {
                         self.last_point = Some(wcs);
                         self.push_ucs_to_cmd(i);
+                        // A typed coordinate at an object prompt is a pick at
+                        // that point, as in the reference.
+                        let picks_entity = self.tabs[i]
+                            .active_cmd
+                            .as_ref()
+                            .is_some_and(|command| command.typed_point_picks_entity());
+                        if picks_entity {
+                            let owner = self.tabs[i]
+                                .current_parametric_scope()
+                                .owner_handle(&self.tabs[i].scene.document);
+                            let handle =
+                                entity_at_typed_point(&self.tabs[i].scene.document, owner, wcs)
+                                    .unwrap_or(Handle::NULL);
+                            return self.feed_command(StepInput::EntityPick(handle, wcs));
+                        }
                         return self.feed_command(StepInput::Point(wcs));
                     }
                     return Task::none();
@@ -3265,6 +3280,125 @@ impl OpenCADStudio {
                     self.commit_undo_delta(i, pd);
                 }
             }
+            CmdResult::AddEqualConstraint {
+                first,
+                others,
+                multiple,
+                label,
+            } => {
+                use crate::modules::parametric::EqualConstraintCommand;
+                use crate::scene::parametric_constraints::{
+                    equal_size, equal_size_follower, ConstraintKind, EqualSize, ParametricRef,
+                };
+
+                let scope = self.tabs[i].current_parametric_scope();
+                // Enter ends a Multiple flow with the reference's summary line.
+                let finishing = multiple && others.is_empty();
+                let mut followers: Vec<ParametricRef> = Vec::new();
+                for other in others {
+                    let refs = [first, other];
+                    if other == first
+                        || self
+                            .tabs[i]
+                            .scene
+                            .validate_parametric_constraint(ConstraintKind::Equal, &refs, None)
+                            .is_err()
+                        || equal_size_follower(&self.tabs[i].scene.document, first, other)
+                            .is_none()
+                    {
+                        self.command_line
+                            .push_error(EqualConstraintCommand::INVALID_OBJECT);
+                        continue;
+                    }
+                    let exists = self.tabs[i]
+                        .scene
+                        .parametric_constraint_set(scope)
+                        .is_some_and(|set| {
+                            set.constraints.iter().any(|existing| {
+                                existing.enabled
+                                    && existing.kind == ConstraintKind::Equal
+                                    && (existing.refs == refs || existing.refs == [other, first])
+                            })
+                        });
+                    if exists {
+                        self.command_line
+                            .push_error("The constraint already exists on the selected objects.");
+                        continue;
+                    }
+                    followers.push(other);
+                }
+                if multiple && !finishing {
+                    if let Some(prompt) =
+                        self.tabs[i].active_cmd.as_ref().map(|command| command.prompt())
+                    {
+                        self.command_line.push_info(&prompt);
+                    }
+                } else {
+                    self.tabs[i].active_cmd = None;
+                }
+                self.tabs[i].snap_result = None;
+                if finishing {
+                    let summary = match equal_size(&self.tabs[i].scene.document, first) {
+                        Some(EqualSize::Radius(_)) => "Radius of objects made equal",
+                        _ => "Length of objects made equal",
+                    };
+                    self.command_line.push_output(summary);
+                }
+                if followers.is_empty() {
+                    return Task::none();
+                }
+                let constraints_before = self.tabs[i]
+                    .scene
+                    .parametric_constraint_set(scope)
+                    .cloned()
+                    .unwrap_or_else(|| {
+                        crate::scene::parametric_constraints::ParametricConstraintSet::new(scope)
+                    });
+                let mut touched = vec![first.entity];
+                for follower in &followers {
+                    if !touched.contains(&follower.entity) {
+                        touched.push(follower.entity);
+                    }
+                }
+                let pending = self.begin_undo(i, label, touched.len(), true);
+                self.tabs[i]
+                    .scene
+                    .record_undo_parametric_constraints_before(scope, constraints_before);
+                // The reference resizes the follower in place — its start (a
+                // circle its center) and direction stay, only its length or
+                // radius takes the first object's — so do that first and let
+                // the relation then hold what already fits.
+                for follower in &followers {
+                    if let Some(resized) =
+                        equal_size_follower(&self.tabs[i].scene.document, first, *follower)
+                    {
+                        self.tabs[i].scene.update_entity(resized);
+                    }
+                    let id = self.tabs[i]
+                        .scene
+                        .parametric_constraint_set_mut(scope)
+                        .add(ConstraintKind::Equal, vec![first, *follower], None);
+                    self.tabs[i].scene.note_parametric_constraint_applied(
+                        scope,
+                        id,
+                        self.constraint_bar_display,
+                    );
+                }
+                let changes = touched
+                    .into_iter()
+                    .map(|handle| (handle, crate::scene::ChangeKind::Modified))
+                    .collect::<Vec<_>>();
+                self.tabs[i].scene.bump_entities_with_parametric_policy(
+                    &changes,
+                    &[],
+                    self.constraint_solve_mode,
+                );
+                self.tabs[i].dirty = true;
+                self.refresh_properties();
+                if let Some(pd) = pending {
+                    self.commit_undo_delta(i, pd);
+                }
+            }
             CmdResult::AddFixedConstraint(pick) => {
                 use crate::modules::parametric::FixConstraintCommand;
                 use crate::scene::parametric_constraints::{
@@ -7654,6 +7788,40 @@ impl OpenCADStudio {
 /// returning the new root handle. `allocate_handle` advances the document's
 /// handle counter — `next_handle()` only peeks, so reusing it would hand every
 /// object the same handle and collapse the dictionary chain.
+/// The entity a typed coordinate lands on while an object is asked for:
+/// the nearest planar curve of the edited space within a small share of
+/// that space's extent, the way a pick box takes the object under a click.
+fn entity_at_typed_point(
+    document: &acadrust::CadDocument,
+    owner: Handle,
+    point: glam::DVec3,
+) -> Option<Handle> {
+    let mut extent = 0.0f64;
+    let mut nearest: Option<(f64, Handle)> = None;
+    for entity in document.entities() {
+        let common = entity.common();
+        if common.owner_handle != owner {
+            continue;
+        }
+        let bounds = entity.as_entity().bounding_box();
+        extent = extent
+            .max((bounds.max.x - bounds.min.x).abs())
+            .max((bounds.max.y - bounds.min.y).abs());
+        let Some(distance) =
+            crate::scene::viewport_dimension_pick::planar_pick_distance(entity, point)
+        else {
+            continue;
+        };
+        if nearest.is_none_or(|(best, _)| distance < best) {
+            nearest = Some((distance, common.handle));
+        }
+    }
+    let tolerance = (extent * 0.002).max(1.0e-9);
+    nearest
+        .filter(|(distance, _)| *distance <= tolerance)
+        .map(|(_, handle)| handle)
+}
+
 fn recreate_ext_subtree(
     doc: &mut acadrust::CadDocument,
     cap: &crate::app::ClipExtObjects,

src/app/commands/draw.rs

@@ -1569,8 +1569,17 @@ impl OpenCADStudio {
                 }
             }
 
-            "PCONSTRAINT" | "ECONSTRAINT" | "LCONSTRAINT"
+            "ECONSTRAINT" | "GCEQUAL" => {
-            | "NRCONSTRAINT" => {
+                use crate::modules::parametric::EqualConstraintCommand;
+                // Both objects are picked inside the command, as in the
+                // reference; a selection made beforehand is not used.
+                self.tabs[i].scene.deselect_all();
+                let command = EqualConstraintCommand::new();
+                self.command_line.push_info(&command.prompt());
+                self.tabs[i].active_cmd = Some(Box::new(command));
+            }
+
+            "PCONSTRAINT" | "LCONSTRAINT" | "NRCONSTRAINT" => {
                 let handles = self.tabs[i].scene.selected_handles_in_order();
                 if handles.is_empty() {
                     use crate::modules::draw::select::SelectObjectsCommand;
@@ -1587,8 +1596,7 @@ impl OpenCADStudio {
                     let (kind, label) = match cmd {
                         "PCONSTRAINT" => (ConstraintKind::Parallel, "Parallel constraint"),
                         "LCONSTRAINT" => (ConstraintKind::Colinear, "Colinear constraint"),
-                        "NRCONSTRAINT" => (ConstraintKind::Normal, "Normal constraint"),
+                        _ => (ConstraintKind::Normal, "Normal constraint"),
-                        _ => (ConstraintKind::Equal, "Equal constraint"),
                     };
                     return Some(self.apply_cmd_result(CmdResult::AddParametricConstraint {
                         kind,

src/app/control/mod.rs

@@ -248,6 +248,7 @@ fn command_category(name: &str) -> &'static str {
         "GCHORIZONTAL",
         "VCONSTRAINT",
         "ECONSTRAINT",
+        "GCEQUAL",
         "TCONSTRAINT",
         "GCCONCENTRIC",
         "NRCONSTRAINT",

src/command.rs

@@ -1599,6 +1599,17 @@ pub enum CmdResult {
         kind: crate::scene::parametric_constraints::ConstraintKind,
         pick: CoincidentPick,
     },
+    /// Adds an Equal relation from `first` to each of `others` (the second
+    /// object, or a Multiple set). The host resizes every follower to the
+    /// first object's length or radius before the relation holds it there.
+    AddEqualConstraint {
+        first: crate::scene::parametric_constraints::ParametricRef,
+        others: Vec<crate::scene::parametric_constraints::ParametricRef>,
+        /// A Multiple flow: the command stays for more picks; an empty
+        /// `others` is its Enter and prints the summary line.
+        multiple: bool,
+        label: &'static str,
+    },
     /// Adds a point or object symmetry relation around a picked line. The
     /// first reference and axis remain fixed during initial placement.
     AddSymmetricConstraint {
@@ -2437,6 +2448,11 @@ pub trait CadCommand: Send {
         false
     }
 
+    /// Take a typed coordinate at an object prompt as a pick at that point.
+    fn typed_point_picks_entity(&self) -> bool {
+        false
+    }
+
     /// Include filled hatch / DXF SOLID regions in the entity hit-test.
     ///
     /// Most entity-pick commands operate on curve geometry and intentionally
@@ -2901,6 +2917,7 @@ mod constraint_registry_tests {
             "QCONSTRAINT",
             "GCPERPENDICULAR",
             "ECONSTRAINT",
+            "GCEQUAL",
             "TCONSTRAINT",
             "GCCONCENTRIC",
             "NRCONSTRAINT",

src/modules/parametric/equal.rs

@@ -0,0 +1,247 @@
+use acadrust::{EntityType, Handle};
+use glam::DVec3;
+
+use crate::command::{CadCommand, CmdOption, CmdResult};
+use crate::scene::parametric_constraints::ParametricRef;
+
+use super::HorizontalConstraintCommand;
+
+#[derive(Clone, Copy)]
+enum Step {
+    /// `Select first object or [Multiple]:`, or `Select first object:`
+    /// once Multiple was chosen.
+    First { multiple: bool },
+    /// `Select second object:` — the one that takes the first's size.
+    Second(ParametricRef),
+    /// `Select object to make equal to first:` — every pick follows the
+    /// first at once, Enter ends the command.
+    Others(ParametricRef),
+}
+
+/// Interactive front end for the Equal geometric constraint: the first
+/// object sets the size, the second (or, with Multiple, each further pick)
+/// takes its length or radius. Objects are picked inside the command; a
+/// selection made before it starts is not used.
+pub struct EqualConstraintCommand {
+    step: Step,
+    picked_entity: Option<EntityType>,
+}
+
+impl EqualConstraintCommand {
+    pub const NO_OBJECT: &'static str = "No object found.";
+    pub const INVALID_OBJECT: &'static str =
+        "Invalid selection for Equal. Select a line, polyline segment, circle or arc.";
+    pub const SAME_OBJECT: &'static str =
+        "The object or point is already selected. Select a different object or constraint point.";
+
+    pub fn new() -> Self {
+        Self {
+            step: Step::First { multiple: false },
+            picked_entity: None,
+        }
+    }
+
+    /// The whole line, circle or arc, or the picked straight polyline
+    /// segment.
+    pub fn picked_reference(
+        entity: &EntityType,
+        handle: Handle,
+        point: DVec3,
+    ) -> Option<ParametricRef> {
+        match entity {
+            EntityType::Line(_) | EntityType::Circle(_) | EntityType::Arc(_) => {
+                Some(ParametricRef::whole(handle))
+            }
+            EntityType::LwPolyline(_) | EntityType::Polyline2D(_) => {
+                let (source, _, _) =
+                    crate::scene::centerline::picked_source(entity, handle, point)?;
+                let index = usize::try_from(source.segment_index).ok()?;
+                HorizontalConstraintCommand::segment_is_straight(entity, index)
+                    .then_some(ParametricRef::segment(handle, index))
+            }
+            _ => None,
+        }
+    }
+
+    fn report(message: &str) -> CmdResult {
+        CmdResult::ReportError(message.to_string())
+    }
+
+    fn finish(first: ParametricRef, others: Vec<ParametricRef>, multiple: bool) -> CmdResult {
+        CmdResult::AddEqualConstraint {
+            first,
+            others,
+            multiple,
+            label: "Equal constraint",
+        }
+    }
+}
+
+impl CadCommand for EqualConstraintCommand {
+    fn name(&self) -> &'static str {
+        "GCEQUAL"
+    }
+
+    fn prompt(&self) -> String {
+        match self.step {
+            Step::First { multiple: false } => {
+                "GCEQUAL  Select first object or [Multiple]:".to_string()
+            }
+            Step::First { multiple: true } => "GCEQUAL  Select first object:".to_string(),
+            Step::Second(_) => "GCEQUAL  Select second object:".to_string(),
+            Step::Others(_) => "GCEQUAL  Select object to make equal to first:".to_string(),
+        }
+    }
+
+    fn options(&self) -> Vec<CmdOption> {
+        matches!(self.step, Step::First { multiple: false })
+            .then(|| vec![CmdOption::new("Multiple", "M")])
+            .unwrap_or_default()
+    }
+
+    fn wants_text_input(&self) -> bool {
+        true
+    }
+
+    fn point_step_accepts_keywords(&self) -> bool {
+        matches!(self.step, Step::First { multiple: false })
+    }
+
+    fn on_text_input(&mut self, text: &str) -> Option<CmdResult> {
+        let keyword = text.trim().trim_start_matches('_').to_ascii_uppercase();
+        if matches!(self.step, Step::First { multiple: false })
+            && matches!(keyword.as_str(), "M" | "MULTIPLE")
+        {
+            self.step = Step::First { multiple: true };
+            return Some(CmdResult::NeedPoint);
+        }
+        None
+    }
+
+    fn needs_entity_pick(&self) -> bool {
+        true
+    }
+
+    fn entity_pick_accepts_points(&self) -> bool {
+        true
+    }
+
+    fn typed_point_picks_entity(&self) -> bool {
+        true
+    }
+
+    fn entity_pick_highlights_hover(&self) -> bool {
+        true
+    }
+
+    fn inject_before_entity_pick(&self) -> bool {
+        true
+    }
+
+    fn inject_picked_entity(&mut self, entity: EntityType) {
+        self.picked_entity = Some(entity);
+    }
+
+    fn on_entity_pick(&mut self, handle: Handle, point: DVec3) -> CmdResult {
+        if handle.is_null() {
+            return Self::report(Self::NO_OBJECT);
+        }
+        let Some(entity) = self.picked_entity.take() else {
+            return CmdResult::NeedPoint;
+        };
+        let Some(reference) = Self::picked_reference(&entity, handle, point) else {
+            return Self::report(Self::INVALID_OBJECT);
+        };
+        match self.step {
+            Step::First { multiple: false } => {
+                self.step = Step::Second(reference);
+                CmdResult::NeedPoint
+            }
+            Step::First { multiple: true } => {
+                self.step = Step::Others(reference);
+                CmdResult::NeedPoint
+            }
+            Step::Second(first) | Step::Others(first) if first == reference => {
+                Self::report(Self::SAME_OBJECT)
+            }
+            Step::Second(first) => Self::finish(first, vec![reference], false),
+            Step::Others(first) => Self::finish(first, vec![reference], true),
+        }
+    }
+
+    // An empty-space click, or a typed coordinate with nothing under it.
+    fn on_point(&mut self, _point: DVec3) -> CmdResult {
+        Self::report(Self::NO_OBJECT)
+    }
+
+    fn on_enter(&mut self) -> CmdResult {
+        match self.step {
+            // Multiple ends with its summary line; the host prints it.
+            Step::Others(first) => Self::finish(first, Vec::new(), true),
+            _ => CmdResult::Cancel,
+        }
+    }
+
+    fn on_escape(&mut self) -> CmdResult {
+        CmdResult::Cancel
+    }
+}
+
+inventory::submit!(crate::command::CommandRegistration {
+    names: &["ECONSTRAINT", "GCEQUAL"]
+});
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+    use acadrust::entities::Line;
+    use acadrust::types::Vector3;
+
+    fn line() -> EntityType {
+        EntityType::Line(Line::from_points(Vector3::ZERO, Vector3::new(10.0, 0.0, 0.0)))
+    }
+
+    #[test]
+    fn two_picks_make_the_second_follow_the_first() {
+        let mut command = EqualConstraintCommand::new();
+        command.inject_picked_entity(line());
+        assert!(matches!(
+            command.on_entity_pick(Handle::new(7), DVec3::ZERO),
+            CmdResult::NeedPoint
+        ));
+        command.inject_picked_entity(line());
+        let CmdResult::AddEqualConstraint {
+            first,
+            others,
+            multiple,
+            ..
+        } = command.on_entity_pick(Handle::new(8), DVec3::ZERO)
+        else {
+            panic!("the second pick must create the constraint");
+        };
+        assert_eq!(first, ParametricRef::whole(Handle::new(7)));
+        assert_eq!(others, vec![ParametricRef::whole(Handle::new(8))]);
+        assert!(!multiple);
+    }
+
+    #[test]
+    fn multiple_applies_each_pick_and_ends_on_enter() {
+        let mut command = EqualConstraintCommand::new();
+        assert!(matches!(command.on_text_input("M"), Some(CmdResult::NeedPoint)));
+        command.inject_picked_entity(line());
+        command.on_entity_pick(Handle::new(7), DVec3::ZERO);
+        command.inject_picked_entity(line());
+        let CmdResult::AddEqualConstraint {
+            others, multiple, ..
+        } = command.on_entity_pick(Handle::new(8), DVec3::ZERO)
+        else {
+            panic!("a Multiple pick must apply at once");
+        };
+        assert_eq!(others, vec![ParametricRef::whole(Handle::new(8))]);
+        assert!(multiple);
+        let CmdResult::AddEqualConstraint { others, .. } = command.on_enter() else {
+            panic!("Enter must end the Multiple flow through the host");
+        };
+        assert!(others.is_empty());
+    }
+}

src/modules/parametric/horizontal.rs

@@ -98,7 +98,7 @@ impl HorizontalConstraintCommand {
         CmdResult::ReportError("No valid constraint point found.".to_string())
     }
 
-    fn segment_is_straight(entity: &EntityType, index: usize) -> bool {
+    pub(crate) fn segment_is_straight(entity: &EntityType, index: usize) -> bool {
         match entity {
             EntityType::LwPolyline(polyline) => polyline
                 .vertices

src/modules/parametric/mod.rs

@@ -6,6 +6,8 @@ mod coincident;
 mod concentric;
 mod constraint_bar;
 mod equal_distance;
+#[path = "equal.rs"]
+mod equal_command;
 #[path = "fixed.rs"]
 mod fixed_command;
 mod geom_constraint;
@@ -24,6 +26,7 @@ mod value;
 pub use coincident::{coincident_tool, CoincidentConstraintCommand};
 pub use concentric::ConcentricConstraintCommand;
 pub use constraint_bar::ConstraintBarOptionCommand;
+pub use equal_command::EqualConstraintCommand;
 pub use equal_distance::{equal_distance_tool, EqualDistanceConstraintCommand};
 pub use fixed_command::FixConstraintCommand;
 pub use geom_constraint::GeomConstraintCommand;

src/modules/parametric/tools.rs

@@ -166,6 +166,7 @@ inventory::submit!(crate::command::CommandRegistration {
         "QCONSTRAINT",
         "GCPERPENDICULAR",
         "ECONSTRAINT",
+        "GCEQUAL",
         "TCONSTRAINT",
         "GCCONCENTRIC",
         "NRCONSTRAINT",

src/scene/parametric_constraints.rs

@@ -265,6 +265,89 @@ pub(crate) fn set_polyline_vertex(
     }
 }
 
+/// The size an Equal relation copies.
+#[derive(Clone, Copy)]
+pub(crate) enum EqualSize {
+    /// A line's or a straight polyline segment's length.
+    Length(f64),
+    /// A circle's or an arc's radius.
+    Radius(f64),
+}
+
+pub(crate) fn equal_size(
+    document: &acadrust::CadDocument,
+    reference: ParametricRef,
+) -> Option<EqualSize> {
+    let entity = document.get_entity(reference.entity)?;
+    match entity {
+        acadrust::EntityType::Circle(circle) if reference.marker.is_none() => {
+            Some(EqualSize::Radius(circle.radius))
+        }
+        acadrust::EntityType::Arc(arc) if reference.marker.is_none() => {
+            Some(EqualSize::Radius(arc.radius))
+        }
+        acadrust::EntityType::Line(_)
+        | acadrust::EntityType::LwPolyline(_)
+        | acadrust::EntityType::Polyline2D(_) => {
+            let index = reference.segment_index().map_or(0, |index| index as i32);
+            let start = resolve_point(entity, index)?;
+            let end = resolve_point(entity, index + 1)?;
+            let length = (end - start).length();
+            (length > 1.0e-12).then_some(EqualSize::Length(length))
+        }
+        _ => None,
+    }
+}
+
+/// `follower` resized to `first`'s size the way the reference does it: a
+/// line or segment keeps its start and direction and only its end moves,
+/// a circle or arc keeps its center and takes the radius. `None` when the
+/// two do not share a size kind.
+pub(crate) fn equal_size_follower(
+    document: &acadrust::CadDocument,
+    first: ParametricRef,
+    follower: ParametricRef,
+) -> Option<acadrust::EntityType> {
+    let size = equal_size(document, first)?;
+    let original = document.get_entity(follower.entity)?;
+    let mut entity = original.clone();
+    match size {
+        EqualSize::Radius(radius) if follower.marker.is_none() => match &mut entity {
+            acadrust::EntityType::Circle(circle) => circle.radius = radius,
+            acadrust::EntityType::Arc(arc) => arc.radius = radius,
+            _ => return None,
+        },
+        EqualSize::Length(length) => {
+            let index = follower.segment_index().map_or(0, |index| index as i32);
+            let start = resolve_point(original, index)?;
+            let end = resolve_point(original, index + 1)?;
+            let current = (end - start).length();
+            if current <= 1.0e-12 {
+                return None;
+            }
+            let scale = length / current;
+            let x = start.x + (end.x - start.x) * scale;
+            let y = start.y + (end.y - start.y) * scale;
+            if matches!(
+                original,
+                acadrust::EntityType::LwPolyline(_) | acadrust::EntityType::Polyline2D(_)
+            ) {
+                if !set_polyline_vertex(&mut entity, index as usize + 1, x, y) {
+                    return None;
+                }
+            } else if let (acadrust::EntityType::Line(line), None) = (&mut entity, follower.marker)
+            {
+                line.end.x = x;
+                line.end.y = y;
+            } else {
+                return None;
+            }
+        }
+        _ => return None,
+    }
+    Some(entity)
+}
+
 /// Grabbed points are exact kernel inputs; the solver anchors the remaining
 /// endpoint coordinates according to the line's directional constraints.
 pub(crate) fn grip_solve_anchor_refs(
@@ -1114,9 +1197,10 @@ fn glyph_placements(
     document: &acadrust::CadDocument,
     constraint: &ParametricConstraint,
 ) -> Vec<(Vector3, Vector3)> {
+    // Relations the reference marks on every object they join.
     if matches!(
         constraint.kind,
-        ConstraintKind::Parallel | ConstraintKind::Symmetric
+        ConstraintKind::Parallel | ConstraintKind::Symmetric | ConstraintKind::Equal
     ) {
         return constraint
             .refs

src/scene/parametric_solve.rs

@@ -2518,6 +2518,87 @@ fn solve_scope(
             }
         }
     }
+    // Equal: the side that is not being edited follows the other's length
+    // or radius the way the reference does it — its start (a circle its
+    // center) and direction stay and only its end moves — so its size is
+    // not retained below, its other points are held and its direction is
+    // kept while the edit lasts. A chain of Equal relations follows along.
+    let edited = |handle: Handle| {
+        driven_refs.iter().any(|reference| reference.entity == handle)
+            || initial_fixed_refs.iter().any(|reference| reference.entity == handle)
+    };
+    let mut equal_followers: Vec<ParametricRef> = Vec::new();
+    let mut moving: Vec<Handle> = cache.keys().copied().filter(|handle| edited(*handle)).collect();
+    loop {
+        let before = equal_followers.len();
+        for constraint in &constraints {
+            if !constraint.enabled || constraint.kind != ConstraintKind::Equal {
+                continue;
+            }
+            let [a, b] = constraint.refs.as_slice() else { continue };
+            let follower = match (moving.contains(&a.entity), moving.contains(&b.entity)) {
+                (true, false) => *b,
+                (false, true) => *a,
+                _ => continue,
+            };
+            if !equal_followers.contains(&follower) {
+                equal_followers.push(follower);
+                moving.push(follower.entity);
+            }
+        }
+        if equal_followers.len() == before {
+            break;
+        }
+    }
+    for follower in &equal_followers {
+        let Some(geometry) = resolve_ref(document, &mut sys, &mut cache, *follower) else {
+            continue;
+        };
+        let mut hold = |anchor: ParametricRef| {
+            if !anchors.contains(&anchor) {
+                anchors.push(anchor);
+            }
+        };
+        let line = match &geometry {
+            EntityGeom::Line(line) => Some(*line),
+            EntityGeom::Polyline { .. } => follower
+                .segment_index()
+                .and_then(|index| geometry.line_segment(index)),
+            _ => None,
+        };
+        match &geometry {
+            EntityGeom::Circle(_) | EntityGeom::Arc(_) => {
+                hold(ParametricRef::center(follower.entity));
+            }
+            EntityGeom::Line(_) => hold(ParametricRef::point(follower.entity, 0)),
+            EntityGeom::Polyline { points, .. } => {
+                let moving_vertex = follower
+                    .segment_index()
+                    .map(|index| (index + 1) % points.len().max(1));
+                for index in (0..points.len()).filter(|index| Some(*index) != moving_vertex) {
+                    hold(ParametricRef::point(follower.entity, index as i32));
+                }
+            }
+            _ => {}
+        }
+        if let Some(line) = line {
+            let (dx, dy) = {
+                let store = sys.store();
+                (
+                    store.get(line.p2.x) - store.get(line.p1.x),
+                    store.get(line.p2.y) - store.get(line.p1.y),
+                )
+            };
+            if dx.hypot(dy) > f64::EPSILON {
+                let datum = GLine {
+                    p1: GPoint::new(sys.add_param(0.0, true), sys.add_param(0.0, true)),
+                    p2: GPoint::new(sys.add_param(dx, true), sys.add_param(dy, true)),
+                };
+                let parallel = ParallelConstraint::new(sys.store(), line, datum);
+                sys.add_constraint(Rc::new(parallel));
+            }
+        }
+    }
     if !retain_lengths {
         let mut axis_lines: Vec<_> = line_axes.into_iter().filter_map(|(reference, vertical)| {
             let geometry = cache.get(&reference.entity)?;
@@ -2651,6 +2732,7 @@ fn solve_scope(
                 || symmetric_constraints.iter().any(|constraint| {
                     constraint.refs.get(2).is_some_and(|axis| axis.entity == *handle)
                 })
+                || equal_followers.iter().any(|follower| follower.entity == *handle)
             {
                 continue;
             }

src/ui/overlay.rs

@@ -2147,10 +2147,16 @@ impl canvas::Program<Message> for SelectionCanvas {
                             label == crate::scene::parametric_constraints::VERTICAL_POINTS_GLYPH,
                         );
                     } else {
+                        // The Equal symbol reads green on its badge, as asked.
+                        let color = if label == "=" {
+                            Color::from_rgb8(72, 199, 116)
+                        } else {
+                            fg
+                        };
                         frame.fill_text(canvas::Text {
                             content: label.clone(),
                             position: glyph_center,
-                            color: fg,
+                            color,
                             size: iced::Pixels(CONSTRAINT_GLYPH_SIZE),
                             align_x: iced::alignment::Horizontal::Center.into(),
                             align_y: iced::alignment::Vertical::Center,