lemma/planning/

semantics.rs

//! Resolved semantic types for Lemma
//!
//! This module contains all types that represent resolved semantics after planning.
//! These types are created during the planning phase and used by evaluation, inversion, etc.

// Re-exported parsing types: downstream modules (evaluation, inversion, computation,
// serialization) import these from `planning::semantics`, never from `parsing` directly.
use crate::parsing::arena::{ExprId, ExprKind, ExprTree};
pub use crate::parsing::ast::{
    ArithmeticComputation, ComparisonComputation, MathematicalComputation, NegationType,
    RangeBound, RoundingMode, VetoExpression,
};
pub use crate::parsing::source::Source;

/// Logical computation operators (defined in semantics, not used by the parser).
/// Returns the logical negation of a comparison (used by De Morgan / NOT-normal-form rewriting).
#[must_use]
pub fn negated_comparison(op: ComparisonComputation) -> ComparisonComputation {
    match op {
        ComparisonComputation::LessThan => ComparisonComputation::GreaterThanOrEqual,
        ComparisonComputation::LessThanOrEqual => ComparisonComputation::GreaterThan,
        ComparisonComputation::GreaterThan => ComparisonComputation::LessThanOrEqual,
        ComparisonComputation::GreaterThanOrEqual => ComparisonComputation::LessThan,
        ComparisonComputation::Is => ComparisonComputation::IsNot,
        ComparisonComputation::IsNot => ComparisonComputation::Is,
    }
}

/// Returns the operator that states the same fact with the operands swapped:
/// `k < x` and `x > k` hold on exactly the same values.
#[must_use]
pub fn mirrored_comparison(op: ComparisonComputation) -> ComparisonComputation {
    match op {
        ComparisonComputation::LessThan => ComparisonComputation::GreaterThan,
        ComparisonComputation::LessThanOrEqual => ComparisonComputation::GreaterThanOrEqual,
        ComparisonComputation::GreaterThan => ComparisonComputation::LessThan,
        ComparisonComputation::GreaterThanOrEqual => ComparisonComputation::LessThanOrEqual,
        ComparisonComputation::Is => ComparisonComputation::Is,
        ComparisonComputation::IsNot => ComparisonComputation::IsNot,
    }
}

// Internal-only parsing imports (used only within this module for value/type resolution).
use crate::computation::rational::{checked_div, rational_new, RationalInteger};
use crate::computation::OperationResult;
use crate::parsing::ast::Constraint;
use crate::parsing::ast::{
    BooleanValue, CalendarPeriodUnit, ChainStep, CommandArg, ConversionTarget, ConversionTypeKind,
    DateCalendarKind, DateRelativeKind, DateTimeValue, LogicalConnective, PrimitiveKind, TimeValue,
    TimezoneValue, TypeConstraintCommand,
};
use crate::planning::normalize::NormalFormId;
use crate::planning::unit_index::UnitIndex;
use crate::Error;
use indexmap::IndexMap;
use rust_decimal::Decimal;
use serde::{Deserialize, Deserializer, Serialize, Serializer};
use std::collections::{BTreeMap, HashMap};
use std::fmt;
use std::hash::Hash;
use std::str::FromStr;
use std::sync::{Arc, OnceLock};

// -----------------------------------------------------------------------------
// Type specification and units (resolved type shape; apply constraints is planning)
// -----------------------------------------------------------------------------

// Unit tables live in `crate::literals` (no dependency on parsing/ast). Re-exported
// here so downstream modules importing from `planning::semantics` keep working.
pub use crate::literals::{
    BaseMeasureVector, MeasureUnit, MeasureUnits, RatioUnit, RatioUnits, UnitScale,
};

/// Combine two `BaseMeasureVector`s by adding (for multiply) or subtracting (for divide) exponents.
/// Entries that reach zero exponent are removed (they cancel out). `None` when a resulting
/// exponent exceeds [`crate::limits::MAX_UNIT_EXPONENT`] in magnitude.
pub fn combine_decompositions(
    left: &BaseMeasureVector,
    right: &BaseMeasureVector,
    is_multiply: bool,
) -> Option<BaseMeasureVector> {
    let mut result = left.clone();
    for (dim, &exp) in right {
        let delta = if is_multiply { exp } else { exp.checked_neg()? };
        let entry = result.entry(dim.clone()).or_insert(0);
        *entry = entry.checked_add(delta)?;
        if entry.unsigned_abs() > crate::limits::MAX_UNIT_EXPONENT.unsigned_abs() {
            return None;
        }
        if *entry == 0 {
            result.remove(dim);
        }
    }
    Some(result)
}

/// Scale every exponent in `base` by `exponent`. Zero cancels to an empty vector.
/// `None` when a product overflows `i32` or exceeds [`crate::limits::MAX_UNIT_EXPONENT`].
pub fn scale_decomposition(base: &BaseMeasureVector, exponent: i32) -> Option<BaseMeasureVector> {
    if exponent == 0 {
        return Some(BaseMeasureVector::new());
    }
    let mut result = BaseMeasureVector::new();
    for (dimension, &power) in base {
        let scaled = power.checked_mul(exponent)?;
        if scaled.unsigned_abs() > crate::limits::MAX_UNIT_EXPONENT.unsigned_abs() {
            return None;
        }
        if scaled != 0 {
            result.insert(dimension.clone(), scaled);
        }
    }
    Some(result)
}

/// Combine two symbolic unit signatures (sorted-by-unit-name, no-zero-exponent vectors)
/// under multiplication or division. The result is in canonical form: sorted by unit name
/// ascending, no zero exponents.
///
/// Planning resolves measure products via decompositions; this remains the pinned algebra
/// for signature-index tests.
#[cfg(test)]
pub fn combine_signatures(
    left: &[(String, i32)],
    right: &[(String, i32)],
    is_multiply: bool,
) -> Vec<(String, i32)> {
    use std::collections::BTreeMap;
    let mut accumulator: BTreeMap<String, i32> = BTreeMap::new();
    for (name, exponent) in left {
        *accumulator.entry(name.clone()).or_insert(0) += exponent;
    }
    for (name, exponent) in right {
        let delta = if is_multiply { *exponent } else { -*exponent };
        *accumulator.entry(name.clone()).or_insert(0) += delta;
    }
    accumulator
        .into_iter()
        .filter(|(_, exponent)| *exponent != 0)
        .collect()
}

/// Canonicalize a unit signature: sum duplicate entries by name, drop zero exponents,
/// sort ascending by unit name. Idempotent.
/// Format a canonical unit signature into human-readable operator style.
///
/// Rules:
/// - Numerator units (positive exponents) sorted alphabetically, joined by `*`.
/// - Denominator units (negative exponents) sorted alphabetically, joined by `*`, exponents shown
///   as positive values.
/// - Separated by `/`. Empty numerator: `1/<denominator>`. No denominator: numerator only.
/// - Exponents > 1 suffixed as `^n`.
///
/// Examples: `eur/hour`, `kilogram*meter^2/second^2`, `1/meter`.
pub fn format_signature_operator_style(signature: &[(String, i32)]) -> String {
    let canonical = canonicalize_signature(signature);
    let mut numerator: Vec<(String, i32)> = Vec::new();
    let mut denominator: Vec<(String, i32)> = Vec::new();
    for (name, exponent) in canonical {
        if exponent > 0 {
            numerator.push((name, exponent));
        } else if exponent < 0 {
            denominator.push((name, -exponent));
        }
    }
    let render = |terms: &[(String, i32)]| -> String {
        terms
            .iter()
            .map(|(name, exp)| {
                if *exp == 1 {
                    name.clone()
                } else {
                    format!("{name}^{exp}")
                }
            })
            .collect::<Vec<_>>()
            .join("*")
    };
    match (numerator.is_empty(), denominator.is_empty()) {
        (true, true) => String::new(),
        (false, true) => render(&numerator),
        (true, false) => format!("1/{}", render(&denominator)),
        (false, false) => format!("{}/{}", render(&numerator), render(&denominator)),
    }
}

/// Returns the intra-calendar-dimension factor for `name`, if it is a known calendar unit.
///
/// Month is canonical (factor 1). Year = 12.
/// Keys are **singular** (`"month"`, `"year"`).
///
/// Returns `None` for names that are not calendar units.
pub fn calendar_unit_factor(name: &str) -> Option<crate::computation::rational::RationalInteger> {
    use crate::computation::rational::rational_one;
    match name {
        "month" => Some(rational_one()),
        "year" => Some(rational_new(12, 1)),
        _ => None,
    }
}

fn reject_negative_width_magnitude(magnitude: &RationalInteger, cmd: &str) -> Result<(), String> {
    use crate::computation::rational::rational_zero;
    use std::cmp::Ordering;
    match magnitude.try_cmp(&rational_zero()) {
        Ok(Ordering::Less) => Err(format!("{cmd} width must not be negative")),
        Ok(Ordering::Equal | Ordering::Greater) => Ok(()),
        Err(failure) => Err(format!("{cmd} width compare failed: {failure}")),
    }
}

/// Store a width bound as declared `(magnitude, unit)`. Family and factors are resolved
/// later against `unit_index` during planning validation.
fn parse_unresolved_width_bound(
    args: &[CommandArg],
    cmd: &str,
) -> Result<(RationalInteger, String), String> {
    use crate::computation::rational::decimal_to_rational;
    let lit = require_literal(args, cmd)?;
    let (magnitude, unit_name) = match lit {
        crate::literals::Value::NumberWithUnit(n, unit) => (*n, unit.clone()),
        other => {
            return Err(format!(
                "{cmd} requires a measure literal with a unit, got {}",
                value_kind_name(other)
            ));
        }
    };
    let magnitude_rational = decimal_to_rational(magnitude)
        .map_err(|failure| format!("{cmd} literal failed rational lift: {failure}"))?;
    reject_negative_width_magnitude(&magnitude_rational, cmd)?;
    Ok((magnitude_rational, unit_name))
}

/// Planning consistency for range endpoint and width bound declarations.
///
/// `unit_index` resolves date/time width units (duration vs calendar). Pass empty for
/// callers that only check number/ratio/measure ranges.
pub(crate) fn check_range_bound_consistency(
    spec: &TypeSpecification,
    unit_index: &crate::planning::unit_index::UnitIndex,
) -> Result<(), String> {
    use std::cmp::Ordering;

    fn endpoint_order_ok_dates(lo: &DateTimeValue, hi: &DateTimeValue) -> bool {
        compare_semantic_dates(&date_time_to_semantic(lo), &date_time_to_semantic(hi))
            != Ordering::Greater
    }
    fn endpoint_order_ok_times(lo: &TimeValue, hi: &TimeValue) -> bool {
        compare_semantic_times(&time_to_semantic(lo), &time_to_semantic(hi)) != Ordering::Greater
    }

    match spec {
        TypeSpecification::NumberRange {
            lower,
            upper,
            minimum,
            maximum,
            ..
        }
        | TypeSpecification::RatioRange {
            lower,
            upper,
            minimum,
            maximum,
            ..
        } => {
            if let (Some(lo), Some(hi)) = (lower, upper) {
                if lo
                    .try_cmp(hi)
                    .map_err(|failure| format!("range endpoint compare failed: {failure}"))?
                    == Ordering::Greater
                {
                    return Err(format!(
                        "invalid range: lower {} is greater than upper {}",
                        lo.display_str(),
                        hi.display_str()
                    ));
                }
            }
            if let (Some(min_w), Some(max_w)) = (minimum, maximum) {
                if min_w
                    .try_cmp(max_w)
                    .map_err(|failure| format!("range width compare failed: {failure}"))?
                    == Ordering::Greater
                {
                    return Err(format!(
                        "invalid range: minimum width {} is greater than maximum width {}",
                        min_w.display_str(),
                        max_w.display_str()
                    ));
                }
            }
            Ok(())
        }
        TypeSpecification::MeasureRange {
            lower,
            upper,
            minimum,
            maximum,
            units,
            ..
        } => {
            if let (Some(lo), Some(hi)) = (lower, upper) {
                let lo_c =
                    measure_declared_bound_to_canonical(&lo.0, &lo.1, units, "range", "lower")?;
                let hi_c =
                    measure_declared_bound_to_canonical(&hi.0, &hi.1, units, "range", "upper")?;
                if lo_c
                    .try_cmp(&hi_c)
                    .map_err(|failure| format!("range endpoint compare failed: {failure}"))?
                    == Ordering::Greater
                {
                    return Err(format!(
                        "invalid range: lower {} {} is greater than upper {} {}",
                        lo.0.display_str(),
                        lo.1,
                        hi.0.display_str(),
                        hi.1
                    ));
                }
            }
            if let (Some(min_w), Some(max_w)) = (minimum, maximum) {
                let min_c = measure_declared_bound_to_canonical(
                    &min_w.0, &min_w.1, units, "range", "minimum",
                )?;
                let max_c = measure_declared_bound_to_canonical(
                    &max_w.0, &max_w.1, units, "range", "maximum",
                )?;
                if min_c
                    .try_cmp(&max_c)
                    .map_err(|failure| format!("range width compare failed: {failure}"))?
                    == Ordering::Greater
                {
                    return Err(format!(
                        "invalid range: minimum width {} {} is greater than maximum width {} {}",
                        min_w.0.display_str(),
                        min_w.1,
                        max_w.0.display_str(),
                        max_w.1
                    ));
                }
            }
            Ok(())
        }
        TypeSpecification::DateRange {
            lower,
            upper,
            minimum,
            maximum,
            ..
        } => {
            if let (Some(lo), Some(hi)) = (lower, upper) {
                if !endpoint_order_ok_dates(lo, hi) {
                    return Err(format!(
                        "invalid range: lower {lo} is greater than upper {hi}"
                    ));
                }
            }
            check_temporal_width_pair_consistency(minimum, maximum, unit_index, true)
        }
        TypeSpecification::TimeRange {
            lower,
            upper,
            minimum,
            maximum,
            ..
        } => {
            if let (Some(lo), Some(hi)) = (lower, upper) {
                if !endpoint_order_ok_times(lo, hi) {
                    return Err(format!(
                        "invalid range: lower {lo} is greater than upper {hi}"
                    ));
                }
            }
            check_temporal_width_pair_consistency(minimum, maximum, unit_index, false)
        }
        _ => Ok(()),
    }
}

fn check_temporal_width_pair_consistency(
    minimum: &Option<(RationalInteger, String)>,
    maximum: &Option<(RationalInteger, String)>,
    unit_index: &crate::planning::unit_index::UnitIndex,
    allow_calendar: bool,
) -> Result<(), String> {
    use std::cmp::Ordering;
    let resolve = |bound: &(RationalInteger, String),
                   command: &str|
     -> Result<(RationalInteger, Arc<LemmaType>), String> {
        let (bare, owner) = unit_index.resolve(bound.1.as_str()).map_err(|err| {
            format!(
                "{command} width unit '{}': {err} (add `uses lemma units` or declare the unit)",
                bound.1
            )
        })?;
        if allow_calendar {
            if !owner.is_duration_like() && !owner.is_calendar_like() {
                return Err(format!(
                    "{command} width unit '{bare}' must be a duration or calendar unit",
                ));
            }
        } else if !owner.is_duration_like() {
            return Err(format!(
                "{command} width unit '{bare}' must be a duration unit",
            ));
        }
        let TypeSpecification::Measure { units, .. } = &owner.specifications else {
            return Err(format!(
                "{command} width unit '{bare}' must resolve to a measure type",
            ));
        };
        let canonical = measure_declared_bound_to_canonical(
            &bound.0,
            &bare,
            units,
            owner.name().as_str(),
            command,
        )?;
        Ok((canonical, Arc::clone(&owner)))
    };

    match (minimum, maximum) {
        (None, None) => Ok(()),
        (Some(min_w), None) => {
            resolve(min_w, "minimum")?;
            Ok(())
        }
        (None, Some(max_w)) => {
            resolve(max_w, "maximum")?;
            Ok(())
        }
        (Some(min_w), Some(max_w)) => {
            let (min_c, min_owner) = resolve(min_w, "minimum")?;
            let (max_c, max_owner) = resolve(max_w, "maximum")?;
            if min_owner.is_calendar_like() != max_owner.is_calendar_like() {
                return Err(
                    "invalid range: minimum and maximum width must not mix calendar and duration units"
                        .to_string(),
                );
            }
            if min_c
                .try_cmp(&max_c)
                .map_err(|failure| format!("range width compare failed: {failure}"))?
                == Ordering::Greater
            {
                return Err(format!(
                    "invalid range: minimum width {} {} is greater than maximum width {} {}",
                    min_w.0.display_str(),
                    min_w.1,
                    max_w.0.display_str(),
                    max_w.1
                ));
            }
            Ok(())
        }
    }
}

fn owner_declares_measure_unit(owner: &LemmaType, unit_name: &str) -> bool {
    owner
        .measure_unit_names()
        .is_some_and(|names| names.contains(&unit_name))
}

/// Compute the numeric factor of a symbolic unit signature relative to canonical bases.
///
/// For each `(unit_name, exponent)` in `signature`:
/// 1. When `owner` declares the unit, use `owner.measure_unit_factor(unit_name)`.
/// 2. Fall back to `expression_units[unit_name].measure_unit_factor(unit_name)`.
/// 3. Unknown names panic with `"BUG: signature_factor called with unresolved unit name"`.
///    Ambiguous multi-owner names panic asking the caller to pass a declaring owner.
///
/// Returns the product of `factor^exponent` over all pairs, or `NumericFailure` on overflow.
pub fn signature_factor(
    signature: &[(String, i32)],
    expression_units: &crate::planning::unit_index::UnitIndex,
    owner: Option<&LemmaType>,
) -> Result<
    crate::computation::rational::RationalInteger,
    crate::computation::rational::NumericFailure,
> {
    use crate::computation::rational::{checked_div, checked_mul, rational_one};
    let mut acc = rational_one();
    for (name, exponent) in signature {
        let factor =
            if let Some(owner) = owner.filter(|owner| owner_declares_measure_unit(owner, name)) {
                owner.measure_unit_factor(name).clone()
            } else if let Some(lemma_type) = expression_units.unique_owner(name) {
                lemma_type.measure_unit_factor(name).clone()
            } else if !expression_units.owners_for(name).is_empty() {
                panic!(
                "BUG: signature_factor called with ambiguous unit name '{}' (pass declaring owner)",
                name
            );
            } else {
                panic!(
                    "BUG: signature_factor called with unresolved unit name '{}'",
                    name
                );
            };
        let mut term = rational_one();
        let abs_exp = exponent.unsigned_abs();
        for _ in 0..abs_exp {
            term = checked_mul(&term, &factor)?;
        }
        if *exponent >= 0 {
            acc = checked_mul(&acc, &term)?;
        } else {
            acc = checked_div(&acc, &term)?;
        }
    }
    Ok(acc)
}

pub fn canonicalize_signature(signature: &[(String, i32)]) -> Vec<(String, i32)> {
    use std::collections::BTreeMap;
    let mut accumulator: BTreeMap<String, i32> = BTreeMap::new();
    for (name, exponent) in signature {
        let entry = accumulator.entry(name.clone()).or_insert(0);
        *entry = entry
            .checked_add(*exponent)
            .expect("BUG: planning bounds signature unit exponents");
    }
    accumulator
        .into_iter()
        .filter(|(_, exponent)| *exponent != 0)
        .collect()
}

/// Convert a `BaseMeasureVector` decomposition into canonical signature form.
pub fn base_measure_vector_as_signature(decomposition: &BaseMeasureVector) -> Vec<(String, i32)> {
    decomposition
        .iter()
        .filter(|(_, exponent)| **exponent != 0)
        .map(|(dimension, exponent)| (dimension.name().to_string(), *exponent))
        .collect()
}

/// One base axis of a measure decomposition.
#[derive(Clone, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub enum Dimension {
    Duration,
    Calendar,
    Family(TypeFamily),
}

impl Dimension {
    /// Bare name: builtin axis or family root type name.
    #[must_use]
    pub fn name(&self) -> &str {
        match self {
            Dimension::Duration => "duration",
            Dimension::Calendar => "calendar",
            Dimension::Family(family) => &family.name,
        }
    }

    #[must_use]
    fn with_families_without_effective(&self) -> Self {
        match self {
            Dimension::Duration => Dimension::Duration,
            Dimension::Calendar => Dimension::Calendar,
            Dimension::Family(family) => Dimension::Family(family.without_effective()),
        }
    }
}

fn base_measure_vector_without_effective(domain: &BaseMeasureVector) -> BaseMeasureVector {
    domain
        .iter()
        .map(|(dimension, exponent)| (dimension.with_families_without_effective(), *exponent))
        .collect()
}

fn measure_units_without_effective(units: &MeasureUnits) -> MeasureUnits {
    MeasureUnits(
        units
            .iter()
            .map(|unit| MeasureUnit {
                name: unit.name.clone(),
                scale: unit.scale.clone(),
                derived_measure_factors: unit.derived_measure_factors.clone(),
                decomposition: base_measure_vector_without_effective(&unit.decomposition),
                minimum: unit.minimum.clone(),
                maximum: unit.maximum.clone(),
                suggestion_magnitude: unit.suggestion_magnitude.clone(),
            })
            .collect(),
    )
}

#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub enum MeasureTrait {
    Duration,
    Calendar,
}

pub fn duration_decomposition() -> BaseMeasureVector {
    [(Dimension::Duration, 1i32)].into_iter().collect()
}

pub fn calendar_decomposition() -> BaseMeasureVector {
    [(Dimension::Calendar, 1i32)].into_iter().collect()
}

/// Marker `LemmaType` for a Measure value whose signature has not been resolved to
/// a named measure type. Carries an empty decomposition; runtime signature is
/// derived via [`LemmaType::measure_runtime_signature`].
pub fn anonymous_measure_type() -> LemmaType {
    LemmaType::anonymous_for_decomposition(BaseMeasureVector::new())
}

/// Return a copy of `signature` with every exponent negated. Used by Number/Measure
/// reciprocal construction (`1 / Q`).
pub fn negate_signature(signature: &[(String, i32)]) -> Vec<(String, i32)> {
    signature.iter().map(|(n, e)| (n.clone(), -*e)).collect()
}

/// Allowed values of a type, plus at most one rule whose list is added to that set.
/// Empty values and no rule means the type is not constrained by a set. A spec list
/// has no values: its set is the rule's list.
#[derive(Clone, Debug, Default, PartialEq, Eq, Hash)]
pub(crate) struct TypeOptions {
    pub values: Vec<OptionValue>,
    pub rule: Option<String>,
}

/// One inline option: canonical value and the written unit, when the literal named one.
#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub(crate) struct OptionValue {
    pub value: BoundValueKind,
}

pub(crate) const SPEC_LIST_HAS_NO_OPTIONS: &str =
    "`-> option` and `-> options` do not apply to a list of spec instances";

/// Dot-separated field key for a spec member read (`path` hops, then `name`).
pub(crate) fn spec_member_input_key(path: &[String], name: &str) -> String {
    let mut key = String::new();
    for segment in path {
        key.push_str(segment);
        key.push('.');
    }
    key.push_str(name);
    key
}

impl TypeOptions {
    #[must_use]
    pub fn is_empty(&self) -> bool {
        self.values.is_empty() && self.rule.is_none()
    }
}

#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub enum TypeSpecification {
    Boolean {
        help: String,
    },
    Measure {
        minimum: Option<(RationalInteger, String)>,
        maximum: Option<(RationalInteger, String)>,
        units: MeasureUnits,
        traits: Vec<MeasureTrait>,
        /// Common dimensional decomposition vector shared by all units in this measure.
        /// `None` until the decomposition pass runs. Base measures (no compound unit expression)
        /// are assigned `Some({measure_name: 1})` by the pass. `Some(empty_map)` means resolved
        /// to dimensionless (e.g. `kg/kg`).
        decomposition: Option<BaseMeasureVector>,
        /// Written unit for this measure value (`100 eur`, `as usd`). Schema types use `None`.
        unit: Option<String>,
        help: String,
    },
    Number {
        minimum: Option<RationalInteger>,
        maximum: Option<RationalInteger>,
        decimals: Option<u8>,
        help: String,
    },
    NumberRange {
        lower: Option<RationalInteger>,
        upper: Option<RationalInteger>,
        minimum: Option<RationalInteger>,
        maximum: Option<RationalInteger>,
        help: String,
    },
    Ratio {
        minimum: Option<RationalInteger>,
        maximum: Option<RationalInteger>,
        units: RatioUnits,
        /// Written unit for this ratio value (`25%`, `as percent`). Schema types use `None`.
        unit: Option<String>,
        help: String,
    },
    RatioRange {
        lower: Option<RationalInteger>,
        upper: Option<RationalInteger>,
        minimum: Option<RationalInteger>,
        maximum: Option<RationalInteger>,
        units: RatioUnits,
        help: String,
    },
    Text {
        length: Option<usize>,
        help: String,
    },
    Date {
        minimum: Option<DateTimeValue>,
        maximum: Option<DateTimeValue>,
        help: String,
    },
    DateRange {
        lower: Option<DateTimeValue>,
        upper: Option<DateTimeValue>,
        minimum: Option<(RationalInteger, String)>,
        maximum: Option<(RationalInteger, String)>,
        help: String,
    },
    Time {
        minimum: Option<TimeValue>,
        maximum: Option<TimeValue>,
        help: String,
    },
    TimeRange {
        lower: Option<TimeValue>,
        upper: Option<TimeValue>,
        minimum: Option<(RationalInteger, String)>,
        maximum: Option<(RationalInteger, String)>,
        help: String,
    },
    MeasureRange {
        lower: Option<(RationalInteger, String)>,
        upper: Option<(RationalInteger, String)>,
        minimum: Option<(RationalInteger, String)>,
        maximum: Option<(RationalInteger, String)>,
        units: MeasureUnits,
        decomposition: Option<BaseMeasureVector>,
        help: String,
    },
    Veto {
        message: Option<String>,
    },
    /// Sentinel used during type inference when the type could not be determined.
    /// Propagates through expressions without generating cascading errors.
    /// Must never appear in a successfully validated graph or execution plan.
    Undetermined,
    /// A spec instance. Identity is repository, spec name, and the resolved
    /// temporal row (`effective`). Appended so discriminants of earlier
    /// variants stay stable.
    Spec {
        spec: SpecIdentity,
    },
    /// A list of rows of `element`, keyed by row number or named fields.
    List {
        element: Arc<LemmaType>,
        key: ListKey,
        help: String,
    },
}

/// One field in a list's row key: display name and resolved template data path.
#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub struct KeyField {
    pub name: String,
    pub path: DataPath,
}

/// How a list addresses its rows.
#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub enum ListKey {
    Numbered,
    Fields(Vec<KeyField>),
}

/// One loaded spec version: its repository, name and `effective_from`. Types are declared
/// per version, whatever slice of it a plan covers.
#[derive(Clone, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub(crate) struct SpecVersionKey {
    pub repository: Option<String>,
    pub spec: String,
    pub effective: crate::parsing::ast::EffectiveDate,
}

impl SpecVersionKey {
    #[must_use]
    pub(crate) fn of(
        repository: &crate::parsing::ast::LemmaRepository,
        spec: &crate::parsing::ast::LemmaSpec,
    ) -> Self {
        Self {
            repository: repository.name.clone(),
            spec: spec.name.clone(),
            effective: spec.effective_from.clone(),
        }
    }
}

/// Resolved spec a value or rule result refers to: one temporal slice of one version.
///
/// `effective` is the resolved row's `effective_from`, not the run instant. `slice` is
/// the start of the slice of that version the plan covers: the greatest of the version's
/// breakpoints ([`crate::planning::discovery::plan_breakpoints`]) at or before the
/// instant the spec was resolved at. Inside one slice every unpinned import of the
/// version resolves to the same version, so one slice is one plan.
#[derive(Clone, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct SpecIdentity {
    pub repository: Option<String>,
    pub spec: String,
    pub effective: crate::parsing::ast::EffectiveDate,
    pub slice: crate::parsing::ast::EffectiveDate,
}

impl SpecIdentity {
    #[must_use]
    pub(crate) fn of(
        repository: &crate::parsing::ast::LemmaRepository,
        spec: &crate::parsing::ast::LemmaSpec,
        slice: crate::parsing::ast::EffectiveDate,
    ) -> Self {
        assert!(
            slice >= spec.effective_from,
            "BUG: slice {slice:?} of spec '{}' starts before its version",
            spec.name
        );
        Self {
            repository: repository.name.clone(),
            spec: spec.name.clone(),
            effective: spec.effective_from.clone(),
            slice,
        }
    }
}

/// `[<repo> ]<spec>[ <date>][ slice <date>]`: the slice is written when it starts after
/// the version.
impl fmt::Display for SpecIdentity {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        if let Some(repository) = &self.repository {
            write!(f, "{repository} ")?;
        }
        write!(f, "{}", self.spec)?;
        if let crate::parsing::ast::EffectiveDate::DateTimeValue(at) = &self.effective {
            write!(f, " {at}")?;
        }
        if self.slice != self.effective {
            let crate::parsing::ast::EffectiveDate::DateTimeValue(at) = &self.slice else {
                unreachable!("BUG: a slice after its version's start is a date");
            };
            write!(f, " slice {at}")?;
        }
        Ok(())
    }
}

impl std::fmt::Display for TypeSpecification {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        match self {
            Self::Boolean { .. } => f.write_str("boolean"),
            Self::Measure { .. } => f.write_str("measure"),
            Self::MeasureRange { .. } => f.write_str("measure range"),
            Self::Number { .. } => f.write_str("number"),
            Self::NumberRange { .. } => f.write_str("number range"),
            Self::Text { .. } => f.write_str("text"),
            Self::Date { .. } => f.write_str("date"),
            Self::DateRange { .. } => f.write_str("date range"),
            Self::Time { .. } => f.write_str("time"),
            Self::TimeRange { .. } => f.write_str("time range"),
            Self::Ratio { .. } => f.write_str("ratio"),
            Self::RatioRange { .. } => f.write_str("ratio range"),
            Self::Veto { .. } => f.write_str("veto"),
            Self::Undetermined => f.write_str("undetermined"),
            Self::Spec { spec } => write!(f, "{spec}"),
            Self::List {
                element,
                key: ListKey::Numbered,
                ..
            } => write!(f, "{} list", element.specifications),
            Self::List {
                element,
                key: ListKey::Fields(fields),
                ..
            } => write!(
                f,
                "{} list key {}",
                element.specifications,
                fields
                    .iter()
                    .map(|field| field.name.as_str())
                    .collect::<Vec<_>>()
                    .join(", ")
            ),
        }
    }
}

impl TypeSpecification {
    /// Returns the help text associated with this type, or an empty string if none.
    pub fn help(&self) -> &str {
        match self {
            Self::Boolean { help, .. }
            | Self::Measure { help, .. }
            | Self::Number { help, .. }
            | Self::NumberRange { help, .. }
            | Self::Text { help, .. }
            | Self::Date { help, .. }
            | Self::DateRange { help, .. }
            | Self::Time { help, .. }
            | Self::TimeRange { help, .. }
            | Self::Ratio { help, .. }
            | Self::RatioRange { help, .. }
            | Self::MeasureRange { help, .. } => help.as_str(),
            Self::Veto { .. } | Self::Undetermined | Self::Spec { .. } => "",
            Self::List { element, help, .. } => {
                if help.is_empty() {
                    element.specifications.help()
                } else {
                    help.as_str()
                }
            }
        }
    }

    /// Primitive `measure range` before units/decomposition are declared on a named type.
    #[must_use]
    pub fn is_unresolved_measure_range(&self) -> bool {
        matches!(
            self,
            Self::MeasureRange {
                units,
                decomposition: None,
                ..
            } if units.0.is_empty()
        )
    }

    #[must_use]
    fn with_families_without_effective(&self) -> Self {
        match self {
            Self::Measure {
                minimum,
                maximum,
                units,
                traits,
                decomposition,
                unit,
                help,
            } => Self::Measure {
                minimum: minimum.clone(),
                maximum: maximum.clone(),
                units: measure_units_without_effective(units),
                traits: traits.clone(),
                decomposition: decomposition
                    .as_ref()
                    .map(base_measure_vector_without_effective),
                unit: unit.clone(),
                help: help.clone(),
            },
            Self::MeasureRange {
                lower,
                upper,
                minimum,
                maximum,
                units,
                decomposition,
                help,
            } => Self::MeasureRange {
                lower: lower.clone(),
                upper: upper.clone(),
                minimum: minimum.clone(),
                maximum: maximum.clone(),
                units: measure_units_without_effective(units),
                decomposition: decomposition
                    .as_ref()
                    .map(base_measure_vector_without_effective),
                help: help.clone(),
            },
            Self::List { element, key, help } => Self::List {
                element: Arc::new(element.with_families_without_effective()),
                key: key.clone(),
                help: help.clone(),
            },
            other => other.clone(),
        }
    }

    /// Schema equality that ignores written [`unit`](Self::Measure::unit) /
    /// [`unit`](Self::Ratio::unit). Used when comparing declared types that may
    /// carry a value-specific written unit.
    #[must_use]
    pub fn equal_ignoring_unit(&self, other: &Self) -> bool {
        match (self, other) {
            (
                Self::Measure {
                    minimum: a_min,
                    maximum: a_max,
                    units: a_units,
                    traits: a_traits,
                    decomposition: a_decomp,
                    help: a_help,
                    unit: _,
                },
                Self::Measure {
                    minimum: b_min,
                    maximum: b_max,
                    units: b_units,
                    traits: b_traits,
                    decomposition: b_decomp,
                    help: b_help,
                    unit: _,
                },
            ) => {
                a_min == b_min
                    && a_max == b_max
                    && a_units == b_units
                    && a_traits == b_traits
                    && a_decomp == b_decomp
                    && a_help == b_help
            }
            (
                Self::Ratio {
                    minimum: a_min,
                    maximum: a_max,
                    units: a_units,
                    help: a_help,
                    unit: _,
                },
                Self::Ratio {
                    minimum: b_min,
                    maximum: b_max,
                    units: b_units,
                    help: b_help,
                    unit: _,
                },
            ) => a_min == b_min && a_max == b_max && a_units == b_units && a_help == b_help,
            _ => self == other,
        }
    }
}

/// Extract a typed [`Value`] from the first `CommandArg`, requiring `Literal` shape.
///
/// `Label` args carry identifiers (unit names, option keywords) and never satisfy a
/// command position that wants a literal value. Returning a typed `Value` keeps the
/// caller's match exhaustive over [`Value`] variants — no string coercion path.
fn require_literal<'a>(
    args: &'a [CommandArg],
    cmd: &str,
) -> Result<&'a crate::literals::Value, String> {
    if args.len() > 1 {
        return Err(format!("{cmd} takes exactly one value"));
    }
    let arg = args
        .first()
        .ok_or_else(|| format!("{} requires an argument", cmd))?;
    match arg {
        CommandArg::Literal(v) => Ok(v),
        CommandArg::Label(name) => Err(format!(
            "{} requires a literal value, got identifier '{}'",
            cmd, name
        )),
        CommandArg::UnitExpr(_) => Err(format!(
            "{} requires a literal value, got a unit expression (only valid for 'unit' command)",
            cmd
        )),
    }
}

fn apply_type_help_command(help: &mut String, args: &[CommandArg]) -> Result<(), String> {
    match require_literal(args, "help")? {
        crate::literals::Value::Text(s) => {
            *help = s.clone();
            Ok(())
        }
        other => Err(format!(
            "help requires a text literal (quoted string), got {}",
            value_kind_name(other)
        )),
    }
}

fn format_measure_units_list(units: &MeasureUnits) -> String {
    units
        .iter()
        .map(|u| u.name.as_str())
        .collect::<Vec<_>>()
        .join(", ")
}

/// What kind of value `-> suggest` expects when rejecting a calendar literal.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub(crate) enum SuggestionExpectation {
    MeasureUnits,
    Text,
    Number,
    Boolean,
    Date,
    Time,
    Ratio,
    NumberRange,
    DateRange,
    TimeRange,
    MeasureRange,
    RatioRange,
}

pub(crate) fn suggestion_value_mismatch_error(
    calendar_unit: &str,
    type_name: &str,
    expectation: SuggestionExpectation,
    measure_units: Option<&MeasureUnits>,
) -> String {
    let unit_label = calendar_unit;
    let first = format!("Unit '{unit_label}' is for calendar data.");
    match expectation {
        SuggestionExpectation::MeasureUnits => {
            let list = measure_units
                .map(format_measure_units_list)
                .unwrap_or_default();
            format!("{first} Valid '{type_name}' units are: {list}.")
        }
        SuggestionExpectation::Text => format!(
            "{first} Please provide a text value in double quotes, for example `-> suggest \"my default value\"`."
        ),
        SuggestionExpectation::Number => format!(
            "{first} Please provide a number, for example `-> suggest 42`."
        ),
        SuggestionExpectation::Boolean => format!(
            "{first} Please provide true or false, for example `-> suggest true`."
        ),
        SuggestionExpectation::Date => format!(
            "{first} Please provide a date, for example `-> suggest 2024-06-15`."
        ),
        SuggestionExpectation::Time => format!(
            "{first} Please provide a time, for example `-> suggest 09:00:00`."
        ),
        SuggestionExpectation::Ratio | SuggestionExpectation::RatioRange => format!(
            "{first} Please provide a ratio, for example `-> suggest 25%`."
        ),
        SuggestionExpectation::NumberRange => format!(
            "{first} Please provide a number range, for example `-> suggest 10...100`."
        ),
        SuggestionExpectation::DateRange => format!(
            "{first} Please provide a date range, for example `-> suggest 2024-01-01...2024-12-31`."
        ),
        SuggestionExpectation::TimeRange => format!(
            "{first} Please provide a time range, for example `-> suggest 09:00...17:00`."
        ),
        SuggestionExpectation::MeasureRange => format!(
            "{first} Please provide a range with units valid for '{type_name}', for example `-> suggest 30 kilogram...35 kilogram`."
        ),
    }
}

fn measure_suggestion_wrong_shape_error(type_name: &str, traits: &[MeasureTrait]) -> String {
    let example = if traits.contains(&MeasureTrait::Duration) {
        "4 week"
    } else if traits.contains(&MeasureTrait::Calendar) {
        "3 month"
    } else {
        "30 kilogram"
    };
    format!(
        "Please provide a value with a unit valid for '{type_name}', for example `-> suggest {example}`."
    )
}

/// Names a data command reports in its errors: the type the command applies to,
/// and the data being declared.
#[derive(Clone, Copy, Debug)]
pub struct ConstraintNames<'a> {
    pub type_name: &'a str,
    pub data_name: &'a str,
}

fn decimals_depend_on_the_unit_error(
    kind: &str,
    names: ConstraintNames<'_>,
    args: &[CommandArg],
    first_unit: Option<&str>,
) -> Result<String, String> {
    let ConstraintNames {
        type_name,
        data_name,
    } = names;
    let places = decimal_to_u8(require_decimal_literal(args, "decimals")?, "decimals")?;
    let step = match places {
        0 => "1".to_string(),
        _ => format!("0.{}1", "0".repeat(usize::from(places) - 1)),
    };
    let advice = match first_unit {
        Some(unit) => {
            format!("Round in a rule instead, for example '{data_name} -> round {step} {unit}'.")
        }
        None => format!(
            "Round in a rule instead, for example '{data_name} -> round' followed by a step of {step} in one of the type's units."
        ),
    };
    Ok(format!("'decimals' is not valid on {kind} type '{type_name}': precision depends on the unit. {advice}"))
}

fn reject_calendar_for_suggestion(
    value: &crate::literals::Value,
    type_name: &str,
    expectation: SuggestionExpectation,
    measure_units: Option<&MeasureUnits>,
) -> Result<(), String> {
    if let crate::literals::Value::NumberWithUnit(_, unit) = value {
        if calendar_unit_factor(unit).is_some() {
            return Err(suggestion_value_mismatch_error(
                unit,
                type_name,
                expectation,
                measure_units,
            ));
        }
    }
    Ok(())
}

/// Human-readable name for a [`Value`] variant — used in mismatch error messages.
fn value_kind_name(v: &crate::literals::Value) -> &'static str {
    use crate::literals::Value;
    match v {
        Value::Number(_) => "number",
        Value::NumberWithUnit(_, _) => "number_with_unit",
        Value::Text(_) => "text",
        Value::Date(_) => "date",
        Value::Time(_) => "time",
        Value::Boolean(_) => "boolean",
        Value::Range(_, _) => "range",
    }
}

fn require_suggestion_range_endpoints<'a>(
    args: &'a [CommandArg],
    type_name: &str,
    expectation: SuggestionExpectation,
    measure_units: Option<&MeasureUnits>,
) -> Result<(&'a crate::literals::Value, &'a crate::literals::Value), String> {
    match require_literal(args, "suggest")? {
        crate::literals::Value::NumberWithUnit(_, unit)
            if calendar_unit_factor(unit).is_some() =>
        {
            Err(suggestion_value_mismatch_error(
                unit,
                type_name,
                expectation,
                measure_units,
            ))
        }
        crate::literals::Value::Range(left, right) => Ok((left.as_ref(), right.as_ref())),
        _ => Err(match expectation {
            SuggestionExpectation::NumberRange => {
                "Please provide a number range, for example `-> suggest 10...100`.".to_string()
            }
            SuggestionExpectation::DateRange => {
                "Please provide a date range, for example `-> suggest 2024-01-01...2024-12-31`."
                    .to_string()
            }
            SuggestionExpectation::RatioRange => {
                "Please provide a ratio range, for example `-> suggest 10%...50%`.".to_string()
            }
            SuggestionExpectation::MeasureRange => format!(
                "Please provide a range with units valid for '{type_name}', for example `-> suggest 30 kilogram...35 kilogram`."
            ),
            _ => unreachable!("BUG: require_suggestion_range_endpoints called with non-range expectation"),
        }),
    }
}

fn lift_parser_decimal(decimal: rust_decimal::Decimal) -> Result<RationalInteger, String> {
    crate::computation::rational::decimal_to_rational(decimal)
        .map_err(|failure| format!("literal failed rational lift: {failure}"))
}

/// Element spec for a range type, used for parsing endpoints and lifting literal endpoints.
pub fn range_element_type_specification(
    range_spec: &TypeSpecification,
) -> Option<TypeSpecification> {
    range_spec.element_from_range()
}

fn range_endpoints_compatible(left: &LemmaType, right: &LemmaType) -> bool {
    match (&left.specifications, &right.specifications) {
        (TypeSpecification::Date { .. }, TypeSpecification::Date { .. }) => true,
        (TypeSpecification::Time { .. }, TypeSpecification::Time { .. }) => true,
        (TypeSpecification::Number { .. }, TypeSpecification::Number { .. }) => true,
        (TypeSpecification::Measure { .. }, TypeSpecification::Measure { .. }) => {
            left.same_measure_family(right)
        }
        (TypeSpecification::Ratio { .. }, TypeSpecification::Ratio { .. }) => true,
        _ => false,
    }
}

/// Infer the range type specification from two compatible endpoint types.
pub fn range_type_specification_from_endpoints(
    left: &LemmaType,
    right: &LemmaType,
) -> Option<TypeSpecification> {
    if !range_endpoints_compatible(left, right) {
        return None;
    }
    left.specifications.range_from_element()
}

/// Resolves a written unit token to a bare declared unit name against the named types
/// visible at one planning site.
pub enum UnitTokenResolver<'a> {
    /// The spec's types are resolved: tokens resolve through its unit index.
    Declared {
        unit_index: &'a UnitIndex,
        named_types: &'a IndexMap<String, Arc<LemmaType>>,
    },
    /// The spec has no resolved types: every token is unknown.
    Undeclared,
    /// Tokens resolve through the planning unit index of the spec being planned.
    Planning {
        unit_index: &'a crate::planning::unit_index::PlanningUnitIndex,
        named_types: &'a IndexMap<String, Arc<LemmaType>>,
    },
    /// Tokens resolve through the first scope that knows them.
    Search(Vec<(&'a UnitIndex, &'a IndexMap<String, Arc<LemmaType>>)>),
    /// Tokens resolve through the unit index and must be declared on `lemma_type`
    /// or on its range element.
    Typed {
        unit_index: &'a UnitIndex,
        named_types: &'a IndexMap<String, Arc<LemmaType>>,
        lemma_type: &'a LemmaType,
    },
}

impl UnitTokenResolver<'_> {
    pub fn resolve(&self, unit: &str) -> Result<String, String> {
        match self {
            UnitTokenResolver::Declared {
                unit_index,
                named_types,
            } => unit_index
                .resolve_with_named_types(unit, named_types)
                .map(|(bare, _)| bare),
            UnitTokenResolver::Undeclared => Err(unknown_unit_message(unit)),
            UnitTokenResolver::Planning {
                unit_index,
                named_types,
            } => unit_index
                .resolve_with_named_types(unit, named_types)
                .map(|(bare, _)| bare),
            UnitTokenResolver::Search(scopes) => scopes
                .iter()
                .find_map(|(unit_index, named_types)| {
                    unit_index
                        .resolve_with_named_types(unit, named_types)
                        .ok()
                        .map(|(bare, _)| bare)
                })
                .ok_or_else(|| unknown_unit_message(unit)),
            UnitTokenResolver::Typed {
                unit_index,
                named_types,
                lemma_type,
            } => resolve_declared_on_type(unit, lemma_type, unit_index, named_types),
        }
    }
}

fn unknown_unit_message(unit: &str) -> String {
    format!("Unknown unit '{unit}'. Declare it on a measure or ratio type, or import it with uses.")
}

fn resolve_declared_on_type(
    written: &str,
    lemma_type: &LemmaType,
    unit_index: &UnitIndex,
    named_types: &IndexMap<String, Arc<LemmaType>>,
) -> Result<String, String> {
    match unit_index.resolve_with_named_types(written, named_types) {
        Ok((bare, _)) => {
            if unit_name_declared_on_type(lemma_type, &bare)
                || range_element_declares_unit(lemma_type, &bare)
            {
                Ok(bare)
            } else {
                Err(format!(
                    "Unit '{written}' resolves to '{bare}', which is not declared on type {}",
                    lemma_type.name()
                ))
            }
        }
        Err(index_err) => {
            if unit_name_declared_on_type(lemma_type, written)
                || range_element_declares_unit(lemma_type, written)
            {
                Ok(written.to_string())
            } else {
                Err(index_err)
            }
        }
    }
}

fn range_element_declares_unit(lemma_type: &LemmaType, unit_name: &str) -> bool {
    let Some(element) = lemma_type.specifications.element_from_range() else {
        return false;
    };
    unit_name_declared_on_type(&LemmaType::primitive(element), unit_name)
}

fn unit_name_declared_on_type(lemma_type: &LemmaType, unit_name: &str) -> bool {
    match &lemma_type.specifications {
        TypeSpecification::Measure { units, .. } => units.get(unit_name).is_ok(),
        TypeSpecification::Ratio { units, .. } => units.get(unit_name).is_ok(),
        _ => false,
    }
}

/// Declared bare unit name on a measure or ratio element type for `token`.
fn bare_declared_unit_on_element(
    element_spec: &TypeSpecification,
    token: &str,
) -> Result<String, String> {
    match element_spec {
        TypeSpecification::Measure { units, .. } => Ok(units.get(token)?.name.clone()),
        TypeSpecification::Ratio { units, .. } => Ok(units.get(token)?.name.clone()),
        other => panic!("BUG: bare_declared_unit_on_element on non-measure/ratio element {other}"),
    }
}

/// Resolve a written unit token to a bare declared name on `element_spec`.
///
/// Tries an exact declared name first. When that fails and `resolve_unit` is
/// provided, resolves through the unit index and checks the bare name is declared
/// on the element.
pub fn resolve_endpoint_unit_token(
    token: &str,
    element_spec: &TypeSpecification,
    resolve_unit: Option<&UnitTokenResolver<'_>>,
) -> Result<String, String> {
    match bare_declared_unit_on_element(element_spec, token) {
        Ok(bare) => Ok(bare),
        Err(declared_err) => {
            let Some(resolve) = resolve_unit else {
                return Err(declared_err);
            };
            let bare = resolve.resolve(token)?;
            bare_declared_unit_on_element(element_spec, &bare).map_err(|_| {
                format!("Unit '{token}' resolves to '{bare}', which is not declared on this type")
            })
        }
    }
}

/// Lift a parser literal range endpoint to a [`TypedLiteral`] typed as `element_type`.
/// Routes [`Value::NumberWithUnit`] through [`number_with_unit_value_kind`] so ratio endpoints
/// (e.g. `10%` in a `ratio range`) canonicalize to ratios, not anonymous quantities.
///
/// `element_type` must already carry the slot's measure/ratio family when the range
/// is a named type (`money range` → money). Callers use [`LemmaType::range_element_type`].
///
/// When `resolve_unit` is set, qualified tokens are resolved to bare declared names before bind.
pub(crate) fn lift_range_endpoint(
    value: &crate::parsing::ast::Value,
    element_type: &LemmaType,
    resolve_unit: Option<&UnitTokenResolver<'_>>,
) -> Result<TypedLiteral, String> {
    use crate::parsing::ast::Value;
    let element_spec = &element_type.specifications;
    match value {
        Value::NumberWithUnit(magnitude, unit_token) => {
            let bare = resolve_endpoint_unit_token(unit_token, element_spec, resolve_unit)?;
            let kind = number_with_unit_value_kind(*magnitude, &bare, element_spec)?;
            let lemma_type = match &kind {
                ValueKind::Measure(_) | ValueKind::Ratio(_) | ValueKind::UnscaledMeasure { .. } => {
                    Arc::new(element_type.clone().with_unit(bare))
                }
                _ => Arc::new(element_type.clone()),
            };
            Ok(TypedLiteral {
                value: kind,
                lemma_type,
            })
        }
        _ => {
            let kind = parser_scalar_to_value_kind(value, element_spec)?;
            Ok(TypedLiteral {
                value: kind,
                lemma_type: Arc::new(element_type.clone()),
            })
        }
    }
}

fn literal_value_from_parser_value(
    value: &crate::parsing::ast::Value,
) -> Result<TypedLiteral, String> {
    use crate::parsing::ast::Value;

    enum Step<'a> {
        Visit(&'a Value),
        CombineRange,
    }

    let mut steps = vec![Step::Visit(value)];
    let mut literals: Vec<TypedLiteral> = Vec::new();
    while let Some(step) = steps.pop() {
        match step {
            Step::Visit(Value::Range(left, right)) => {
                steps.push(Step::CombineRange);
                steps.push(Step::Visit(right));
                steps.push(Step::Visit(left));
            }
            Step::Visit(scalar) => literals.push(scalar_literal_from_parser_value(scalar)?),
            Step::CombineRange => {
                let right = literals
                    .pop()
                    .expect("BUG: range right endpoint missing from literal stack");
                let left = literals
                    .pop()
                    .expect("BUG: range left endpoint missing from literal stack");
                let compatible = match (
                    &left.lemma_type.specifications,
                    &right.lemma_type.specifications,
                ) {
                    (TypeSpecification::Date { .. }, TypeSpecification::Date { .. }) => true,
                    (TypeSpecification::Time { .. }, TypeSpecification::Time { .. }) => true,
                    (TypeSpecification::Number { .. }, TypeSpecification::Number { .. }) => true,
                    (TypeSpecification::Measure { .. }, TypeSpecification::Measure { .. }) => {
                        left.lemma_type.same_measure_family(&right.lemma_type)
                            || left
                                .lemma_type
                                .compatible_with_anonymous_measure(&right.lemma_type)
                            || right
                                .lemma_type
                                .compatible_with_anonymous_measure(&left.lemma_type)
                    }
                    (TypeSpecification::Ratio { .. }, TypeSpecification::Ratio { .. }) => true,
                    _ => false,
                };
                if !compatible {
                    return Err(format!(
                        "range endpoints must have the same supported base type, got {} and {}",
                        left.lemma_type.name(),
                        right.lemma_type.name()
                    ));
                }
                literals.push(TypedLiteral::range(left, right));
            }
        }
    }
    Ok(literals.pop().expect("BUG: literal walk left no result"))
}

fn scalar_literal_from_parser_value(
    value: &crate::parsing::ast::Value,
) -> Result<TypedLiteral, String> {
    use crate::parsing::ast::Value;

    match value {
        Value::Number(n) => Ok(TypedLiteral::number(lift_parser_decimal(*n)?)),
        Value::Text(s) => Ok(TypedLiteral::text(s.clone())),
        Value::Date(dt) => Ok(TypedLiteral::date(date_time_to_semantic(dt))),
        Value::Time(t) => Ok(TypedLiteral::time(time_to_semantic(t))),
        Value::Boolean(b) => Ok(TypedLiteral::from_bool(bool::from(*b))),
        Value::NumberWithUnit(n, _) => Ok(TypedLiteral::number_interpreted_as_measure(
            lift_parser_decimal(*n)?,
        )),
        Value::Range(_, _) => {
            unreachable!("BUG: range values are walked by literal_value_from_parser_value")
        }
    }
}

/// Cast a [`RationalInteger`] to `u8`, requiring it to be a non-negative whole number that fits.
fn decimal_to_u8(d: RationalInteger, ctx: &str) -> Result<u8, String> {
    if !d.is_integer() {
        return Err(format!(
            "{} requires a whole number, got fractional value",
            ctx
        ));
    }
    d.numer_to_u8()
        .ok_or_else(|| format!("{} value out of range for u8", ctx))
}

/// Cast a [`RationalInteger`] to `usize`, requiring it to be a non-negative whole number that fits.
fn decimal_to_usize(d: RationalInteger, ctx: &str) -> Result<usize, String> {
    if !d.is_integer() {
        return Err(format!(
            "{} requires a whole number, got fractional value",
            ctx
        ));
    }
    d.numer_to_usize()
        .ok_or_else(|| format!("{} value out of range for usize", ctx))
}

/// Extract a number literal from a [`Value::Number`] arg and lift it to [`RationalInteger`].
///
/// Numeric meta-constraints (`decimals`, `length`, `minimum`/`maximum`
/// on `Number` and `Measure`) take a bare number literal — not a ratio, not a measure. Reject
/// any other variant to honour the no-coercion contract.
fn ratio_bound_to_canonical_rational(
    args: &[CommandArg],
    cmd: &str,
    units: &RatioUnits,
) -> Result<RationalInteger, String> {
    use crate::computation::rational::{checked_div, decimal_to_rational};
    let lit = require_literal(args, cmd)?;
    match lit {
        crate::literals::Value::NumberWithUnit(magnitude, unit_name) => {
            let unit = units.get(unit_name.as_str())?;
            let magnitude_rational = decimal_to_rational(*magnitude)
                .map_err(|failure| format!("{cmd} literal failed rational lift: {failure}"))?;
            checked_div(&magnitude_rational, &unit.value)
                .map_err(|failure| format!("{cmd}: unit conversion failed: {failure}"))
        }
        other => Err(format!(
            "{cmd} requires a ratio literal with a unit, got {}",
            value_kind_name(other)
        )),
    }
}

fn require_decimal_literal(args: &[CommandArg], cmd: &str) -> Result<RationalInteger, String> {
    use crate::computation::rational::decimal_to_rational;
    match require_literal(args, cmd)? {
        crate::literals::Value::Number(d) => decimal_to_rational(*d)
            .map_err(|failure| format!("{} literal failed rational lift: {}", cmd, failure)),
        other => Err(format!(
            "{} requires a number literal, got {}",
            cmd,
            value_kind_name(other)
        )),
    }
}

enum UnitConstraintField {
    Minimum,
    Maximum,
    SuggestionMagnitude,
}

fn apply_measure_unit_factor(
    units: &mut MeasureUnits,
    unit_name: String,
    value: rust_decimal::Decimal,
    derived_measure_factors: Vec<(String, i32)>,
) -> Result<(), String> {
    if let Some(existing) = units.0.iter().find(|u| u.name == unit_name) {
        let new_factor = crate::computation::rational::decimal_to_rational(value)
            .map_err(|failure| failure.to_string())?;
        if existing.literal_factor() != Some(&new_factor)
            || existing.derived_measure_factors != derived_measure_factors
        {
            return Err(format!(
                "Unit '{unit_name}' is already defined in this type's inherited units; \
                 cannot change factor or decomposition. Add a new unit name instead."
            ));
        }
        return Ok(());
    }
    units.0.push(MeasureUnit::from_decimal_factor(
        unit_name,
        value,
        derived_measure_factors,
    )?);
    Ok(())
}

pub(crate) fn measure_declared_bound_to_canonical(
    magnitude: &RationalInteger,
    unit_name: &str,
    units: &MeasureUnits,
    type_name: &str,
    command: &str,
) -> Result<RationalInteger, String> {
    use crate::computation::rational::checked_mul;
    let unit = units.get(unit_name).map_err(|_| {
        format!(
            "Unit '{unit_name}' is not defined on '{type_name}'. Valid units are: {}.",
            format_measure_units_list(units)
        )
    })?;
    let factor = unit.literal_factor().ok_or_else(|| {
        format!(
            "{command} cannot use unit '{unit_name}' on '{type_name}': its conversion factor is a reference and is not known at planning."
        )
    })?;
    checked_mul(magnitude, factor)
        .map_err(|failure| format!("{command}: unit conversion overflow: {failure}"))
}

fn parse_measure_declared_bound(
    args: &[CommandArg],
    cmd: &str,
    units: &MeasureUnits,
    type_name: &str,
) -> Result<(RationalInteger, String), String> {
    use crate::computation::rational::decimal_to_rational;
    let lit = require_literal(args, cmd)?;
    let (magnitude, unit_name) = match lit {
        crate::literals::Value::NumberWithUnit(n, unit) => (*n, unit.clone()),
        other => {
            return Err(format!(
                "{cmd} requires a measure literal with a unit, got {}",
                value_kind_name(other)
            ));
        }
    };
    units.get(unit_name.as_str()).map_err(|_| {
        format!(
            "Unit '{unit_name}' is not defined on '{type_name}'. Valid units are: {}.",
            format_measure_units_list(units)
        )
    })?;
    let magnitude_rational = decimal_to_rational(magnitude)
        .map_err(|failure| format!("{cmd} literal failed rational lift: {failure}"))?;
    Ok((magnitude_rational, unit_name))
}

fn sync_measure_units_from_canonical(
    units: &mut MeasureUnits,
    canonical: &RationalInteger,
    field: UnitConstraintField,
) -> Result<(), String> {
    use crate::computation::rational::checked_div;
    for unit in &mut units.0 {
        let Some(factor) = unit.literal_factor() else {
            continue;
        };
        let magnitude = checked_div(canonical, factor).map_err(|failure| {
            format!(
                "cannot derive per-unit constraint for unit '{}': {failure}",
                unit.name
            )
        })?;
        match field {
            UnitConstraintField::Minimum => unit.minimum = Some(magnitude),
            UnitConstraintField::Maximum => unit.maximum = Some(magnitude),
            UnitConstraintField::SuggestionMagnitude => unit.suggestion_magnitude = Some(magnitude),
        }
    }
    Ok(())
}

fn sync_ratio_units_from_canonical(
    units: &mut RatioUnits,
    canonical: &RationalInteger,
    field: UnitConstraintField,
) -> Result<(), String> {
    use crate::computation::rational::checked_mul;
    for unit in &mut units.0 {
        let magnitude = checked_mul(canonical, &unit.value).map_err(|failure| {
            format!(
                "cannot derive per-unit constraint for ratio unit '{}': {failure}",
                unit.name
            )
        })?;
        match field {
            UnitConstraintField::Minimum => unit.minimum = Some(magnitude),
            UnitConstraintField::Maximum => unit.maximum = Some(magnitude),
            UnitConstraintField::SuggestionMagnitude => unit.suggestion_magnitude = Some(magnitude),
        }
    }
    Ok(())
}

fn sync_measure_suggestion_units(
    units: &mut MeasureUnits,
    default: &ValueKind,
    type_name: &str,
) -> Result<(), String> {
    let ValueKind::Measure(magnitude) = default else {
        return Ok(());
    };
    let unit_name = units
        .iter()
        .find(|unit| unit.is_canonical_factor())
        .or_else(|| units.iter().next())
        .map(|unit| unit.name.as_str())
        .expect(
            "BUG: Measure suggestion value requires at least one declared unit on the measure type",
        );
    units.get(unit_name).map_err(|_| {
        format!("Suggestion unit '{unit_name}' is not defined on measure type '{type_name}'.")
    })?;
    sync_measure_units_from_canonical(units, magnitude, UnitConstraintField::SuggestionMagnitude)
}

pub(crate) fn finalize_measure_unit_constraint_magnitudes(
    specification: &mut TypeSpecification,
    declared_suggestion: Option<&ValueKind>,
    type_name: &str,
) -> Result<(), String> {
    let TypeSpecification::Measure {
        minimum,
        maximum,
        units,
        ..
    } = specification
    else {
        return Ok(());
    };

    let mut synced_minimum = false;
    if let Some(bound) = minimum.as_ref() {
        let bound_unit = units.get(bound.1.as_str()).map_err(|err| err.to_string())?;
        if bound_unit.literal_factor().is_some() {
            let canonical = measure_declared_bound_to_canonical(
                &bound.0, &bound.1, units, type_name, "minimum",
            )?;
            sync_measure_units_from_canonical(units, &canonical, UnitConstraintField::Minimum)?;
            synced_minimum = true;
        }
    }
    let mut synced_maximum = false;
    if let Some(bound) = maximum.as_ref() {
        let bound_unit = units.get(bound.1.as_str()).map_err(|err| err.to_string())?;
        if bound_unit.literal_factor().is_some() {
            let canonical = measure_declared_bound_to_canonical(
                &bound.0, &bound.1, units, type_name, "maximum",
            )?;
            sync_measure_units_from_canonical(units, &canonical, UnitConstraintField::Maximum)?;
            synced_maximum = true;
        }
    }
    let mut synced_suggestion = false;
    if let Some(default) = declared_suggestion {
        if matches!(default, ValueKind::Measure(_)) {
            sync_measure_suggestion_units(units, default, type_name)?;
            synced_suggestion = true;
        }
    }

    if synced_minimum {
        for unit in units.iter() {
            if unit.literal_factor().is_none() {
                continue;
            }
            assert!(
                unit.minimum.is_some(),
                "BUG: type '{type_name}' has minimum but unit '{}' missing per-unit minimum after finalize",
                unit.name
            );
        }
    }
    if synced_maximum {
        for unit in units.iter() {
            if unit.literal_factor().is_none() {
                continue;
            }
            assert!(
                unit.maximum.is_some(),
                "BUG: type '{type_name}' has maximum but unit '{}' missing per-unit maximum after finalize",
                unit.name
            );
        }
    }
    if synced_suggestion {
        for unit in units.iter() {
            if unit.literal_factor().is_none() {
                continue;
            }
            assert!(
                unit.suggestion_magnitude.is_some(),
                "BUG: type '{type_name}' has default but unit '{}' missing per-unit default after finalize",
                unit.name
            );
        }
    }

    Ok(())
}

fn sync_ratio_suggestion_units(units: &mut RatioUnits, default: &ValueKind) -> Result<(), String> {
    let ValueKind::Ratio(canonical) = default else {
        return Ok(());
    };
    sync_ratio_units_from_canonical(units, canonical, UnitConstraintField::SuggestionMagnitude)
}

/// Extract an option name from a single arg.
///
/// Both `option red` (bare identifier, parsed as `Label`) and `option "red"`
/// (quoted text literal) are valid lemma syntax for option enumeration; the
/// grammar accepts either form. All other variants are rejected.
pub(crate) fn apply_option_constraint(
    lemma_type: &mut LemmaType,
    command: TypeConstraintCommand,
    args: &[CommandArg],
    resolve_unit: Option<&UnitTokenResolver<'_>>,
    spec: &crate::parsing::ast::LemmaSpec,
) -> Result<(), String> {
    let mut hops = 0;
    {
        let mut probe = &*lemma_type;
        while let TypeSpecification::List { element, .. } = &probe.specifications {
            hops += 1;
            probe = element.as_ref();
        }
    }
    let mut current = lemma_type;
    for _ in 0..hops {
        let TypeSpecification::List { element, .. } = &mut current.specifications else {
            unreachable!("BUG: option forwarding counted a list");
        };
        current = Arc::make_mut(element);
    }
    apply_options_command(current, command, args, resolve_unit, spec)
}

/// `-> with` / `-> suggest` naming one `uses` instance of a spec type.
pub(crate) fn apply_spec_member_command(
    lemma_type: &LemmaType,
    command: TypeConstraintCommand,
    args: &[CommandArg],
    spec: &crate::parsing::ast::LemmaSpec,
    target: &mut Option<RawSuggestion>,
) -> Result<(), String> {
    let label = match args {
        [CommandArg::Label(name)] => name,
        _ => return Err(format!("{command} on a spec takes one instance name")),
    };
    let option = spec_alias_option(
        lemma_type,
        uses_alias(spec, label)
            .ok_or_else(|| format!("'{label}' is not an instance of this spec"))?,
        label,
    )?;
    *target = Some(RawSuggestion::Value(option.value.value));
    Ok(())
}

/// One `-> with` line appends rows on a list. A spec element names a `uses` instance.
pub(crate) fn apply_list_with_rows(
    lemma_type: &mut LemmaType,
    names: ConstraintNames<'_>,
    args: &[CommandArg],
    declared_value: &mut Option<RawSuggestion>,
    resolve_unit: Option<&UnitTokenResolver<'_>>,
    spec: &crate::parsing::ast::LemmaSpec,
) -> Result<(), String> {
    let mut rows = match declared_value.take() {
        Some(RawSuggestion::List(existing)) => existing,
        None => Vec::new(),
        Some(other) => {
            unreachable!("BUG: list declared value must be RawSuggestion::List, got {other:?}")
        }
    };
    let TypeSpecification::List { element, .. } = &mut lemma_type.specifications else {
        unreachable!("BUG: apply_list_with_rows on a non-list type");
    };
    for arg in args {
        rows.push(list_with_row(
            Arc::make_mut(element),
            names,
            arg,
            resolve_unit,
            spec,
        )?);
    }
    *declared_value = Some(RawSuggestion::List(rows));
    Ok(())
}

fn list_with_row(
    element: &mut LemmaType,
    names: ConstraintNames<'_>,
    arg: &CommandArg,
    resolve_unit: Option<&UnitTokenResolver<'_>>,
    spec: &crate::parsing::ast::LemmaSpec,
) -> Result<RawSuggestion, String> {
    let mut hops = 0;
    {
        let mut probe = &*element;
        while let TypeSpecification::List { element, .. } = &probe.specifications {
            hops += 1;
            probe = element.as_ref();
        }
    }
    let mut current = element;
    for _ in 0..hops {
        let TypeSpecification::List { element, .. } = &mut current.specifications else {
            unreachable!("BUG: list -> with counted a list");
        };
        current = Arc::make_mut(element);
    }
    let mut row_value = None;
    if matches!(current.specifications, TypeSpecification::Spec { .. }) {
        apply_spec_member_command(
            current,
            TypeConstraintCommand::With,
            std::slice::from_ref(arg),
            spec,
            &mut row_value,
        )?;
    } else {
        let mut unused_suggestion = None;
        current.apply_constraint(
            names,
            TypeConstraintCommand::With,
            std::slice::from_ref(arg),
            &mut unused_suggestion,
            &mut row_value,
            resolve_unit,
        )?;
    }
    let mut value = row_value.expect("BUG: -> with on a list row must produce a value");
    for _ in 0..hops {
        value = RawSuggestion::List(vec![value]);
    }
    Ok(value)
}

fn apply_options_command(
    lemma_type: &mut LemmaType,
    command: TypeConstraintCommand,
    args: &[CommandArg],
    resolve_unit: Option<&UnitTokenResolver<'_>>,
    spec: &crate::parsing::ast::LemmaSpec,
) -> Result<(), String> {
    if command == TypeConstraintCommand::Option && args.len() != 1 {
        return Err("option takes exactly one argument".to_string());
    }
    if args.is_empty() {
        return Err("options takes at least one value".to_string());
    }
    let mut literals: Vec<OptionValue> = Vec::new();
    let mut names: Vec<String> = Vec::new();
    for arg in args {
        match arg {
            CommandArg::Literal(value) => {
                literals.push(OptionValue {
                    value: option_bound_from_literal(value, lemma_type, resolve_unit)?,
                });
            }
            CommandArg::Label(name) => names.push(name.clone()),
            CommandArg::UnitExpr(_) => {
                return Err(format!(
                    "{command} requires a value of this type, got a unit expression"
                ));
            }
        }
    }
    if !literals.is_empty() && !names.is_empty() {
        return Err(format!(
            "{command} mixes values and a rule. Write the values, or name one rule."
        ));
    }
    if matches!(lemma_type.specifications, TypeSpecification::Spec { .. }) {
        return apply_spec_list_options(lemma_type, command, args, spec);
    }
    if !names.is_empty() {
        return apply_option_names(lemma_type, &names, spec);
    }
    append_option_literals(lemma_type, literals)?;
    Ok(())
}

fn option_bound_from_literal(
    value: &crate::literals::Value,
    lemma_type: &LemmaType,
    resolve_unit: Option<&UnitTokenResolver<'_>>,
) -> Result<BoundValueKind, String> {
    let kind = parser_value_to_value_kind(value, lemma_type, resolve_unit)?;
    let token = match value {
        crate::literals::Value::NumberWithUnit(_, unit) => Some(unit.as_str()),
        crate::literals::Value::Range(left, right) => match (left.as_ref(), right.as_ref()) {
            (
                crate::literals::Value::NumberWithUnit(_, left_unit),
                crate::literals::Value::NumberWithUnit(_, right_unit),
            ) if left_unit == right_unit => Some(left_unit.as_str()),
            _ => None,
        },
        _ => None,
    };
    let unit = match token {
        Some(token) => Some(Arc::<str>::from(resolve_endpoint_unit_token(
            token,
            &lemma_type.specifications,
            resolve_unit,
        )?)),
        None => None,
    };
    Ok(BoundValueKind {
        value: kind,
        unit,
        instance_factors: None,
    })
}

fn apply_spec_list_options(
    _lemma_type: &mut LemmaType,
    _command: TypeConstraintCommand,
    _args: &[CommandArg],
    _spec: &crate::parsing::ast::LemmaSpec,
) -> Result<(), String> {
    Err(SPEC_LIST_HAS_NO_OPTIONS.to_string())
}

enum OptionName {
    Text(OptionValue),
    Instance(OptionValue),
    Rule,
}

fn apply_option_names(
    lemma_type: &mut LemmaType,
    names: &[String],
    spec: &crate::parsing::ast::LemmaSpec,
) -> Result<(), String> {
    let mut meanings = Vec::with_capacity(names.len());
    for name in names {
        meanings.push(option_name_meaning(lemma_type, spec, name)?);
    }
    let rule_count = meanings
        .iter()
        .filter(|meaning| matches!(meaning, OptionName::Rule))
        .count();
    if rule_count > 0 {
        if names.len() != 1 || rule_count != 1 {
            return Err(
                "options names one rule, or lists values. A rule is not mixed with values."
                    .to_string(),
            );
        }
        if let Some(existing) = &lemma_type.options.rule {
            return Err(format!(
                "`-> options` already names rule '{existing}', not '{}'",
                names[0]
            ));
        }
        lemma_type.options.rule = Some(names[0].clone());
        return Ok(());
    }
    let mut literals = Vec::with_capacity(meanings.len());
    for meaning in meanings {
        match meaning {
            OptionName::Text(value) | OptionName::Instance(value) => literals.push(value),
            OptionName::Rule => unreachable!("BUG: rule meanings are returned above"),
        }
    }
    reject_duplicate_options(lemma_type, &literals)?;
    append_option_literals(lemma_type, literals)?;
    Ok(())
}

/// One grammatical name has one meaning. Two meanings is an error; zero is an error.
fn option_name_meaning(
    lemma_type: &LemmaType,
    spec: &crate::parsing::ast::LemmaSpec,
    name: &str,
) -> Result<OptionName, String> {
    let mut found: Vec<OptionName> = Vec::new();
    if matches!(lemma_type.specifications, TypeSpecification::Text { .. }) {
        found.push(OptionName::Text(OptionValue {
            value: BoundValueKind::unbound(ValueKind::Text(Arc::from(name))),
        }));
    }
    if let Some(data) = uses_alias(spec, name) {
        if let Ok(instance) = spec_alias_option(lemma_type, data, name) {
            found.push(OptionName::Instance(instance));
        }
    }
    if spec.rules.iter().any(|rule| rule.name == name) {
        found.push(OptionName::Rule);
    }
    match found.len() {
        1 => Ok(found.pop().expect("BUG: one option meaning")),
        0 => Err(format!("'{name}' is not a value of this type or a rule")),
        _ => Err(format!(
            "'{name}' is more than one of a text option, an instance, and a rule"
        )),
    }
}

fn uses_alias<'a>(
    spec: &'a crate::parsing::ast::LemmaSpec,
    name: &str,
) -> Option<&'a crate::parsing::ast::LemmaData> {
    spec.data.iter().find(|data| {
        data.reference.name == name
            && matches!(data.value, crate::parsing::ast::DataValue::Import { .. })
    })
}

fn spec_alias_option(
    lemma_type: &LemmaType,
    data: &crate::parsing::ast::LemmaData,
    name: &str,
) -> Result<OptionValue, String> {
    let TypeSpecification::Spec { spec } = &lemma_type.specifications else {
        return Err(format!("'{name}' is not a value of this type or a rule"));
    };
    let crate::parsing::ast::DataValue::Import { spec_ref, .. } = &data.value else {
        unreachable!("BUG: uses_alias returns an import");
    };
    if spec_ref.name != spec.spec {
        return Err(format!(
            "'{name}' is an instance of '{}', not '{}'",
            spec_ref.name, spec.spec
        ));
    }
    unreachable!(
        "BUG: `uses` alias `{name}` named on a spec type: a spec type is only a list element, `-> options` on it names a rule, and the parser reads `-> with {name}` on a list as an instance-list row"
    )
}

fn append_option_literals(
    lemma_type: &mut LemmaType,
    incoming: Vec<OptionValue>,
) -> Result<(), String> {
    for option in incoming {
        if lemma_type
            .options
            .values
            .iter()
            .any(|existing| existing.value == option.value)
        {
            return Err(format!(
                "duplicate option '{}'",
                lemma_type.display_bound(&option.value)
            ));
        }
        lemma_type.options.values.push(option);
    }
    Ok(())
}

fn static_option_match(options: &TypeOptions, value: &ValueKind) -> bool {
    options
        .values
        .iter()
        .any(|option| option_values_match(&option.value.value, value))
}

fn options_have_unscaled_measure(options: &TypeOptions) -> bool {
    options
        .values
        .iter()
        .any(|option| option.value.value.has_unscaled_measure())
}

/// Rewrite every [`ValueKind::UnscaledMeasure`] using composed runtime unit factors.
/// Walks ranges and lists iteratively. Missing scale for a needed unit is an error.
pub(crate) fn settle_value_kind_with_scales(
    value: &ValueKind,
    scales: &std::collections::HashMap<String, crate::computation::rational::RationalInteger>,
) -> Result<ValueKind, String> {
    use crate::computation::rational::checked_mul;

    enum Task {
        Visit(ValueKind),
        AssembleRange {
            left_type: Arc<LemmaType>,
            right_type: Arc<LemmaType>,
        },
        AssembleList {
            row_types: Vec<Arc<LemmaType>>,
        },
    }

    let mut tasks = vec![Task::Visit(value.clone())];
    let mut done: Vec<ValueKind> = Vec::new();
    while let Some(task) = tasks.pop() {
        match task {
            Task::Visit(ValueKind::UnscaledMeasure { magnitude, unit }) => {
                let factor = scales.get(unit.as_ref()).ok_or_else(|| {
                    format!("unit '{unit}' scale is not settled for option membership")
                })?;
                let canonical =
                    checked_mul(&magnitude, factor).map_err(|failure| failure.to_string())?;
                done.push(ValueKind::Measure(canonical));
            }
            Task::Visit(ValueKind::Range(left, right)) => {
                tasks.push(Task::AssembleRange {
                    left_type: Arc::clone(&left.lemma_type),
                    right_type: Arc::clone(&right.lemma_type),
                });
                let right = *right;
                let left = *left;
                tasks.push(Task::Visit(right.value));
                tasks.push(Task::Visit(left.value));
            }
            Task::Visit(ValueKind::List(rows)) => {
                let owned = rows.to_vec();
                let row_types: Vec<Arc<LemmaType>> = owned
                    .iter()
                    .map(|row| Arc::clone(&row.lemma_type))
                    .collect();
                tasks.push(Task::AssembleList { row_types });
                for row in owned.into_iter().rev() {
                    tasks.push(Task::Visit(row.value));
                }
            }
            Task::Visit(other) => done.push(other),
            Task::AssembleRange {
                left_type,
                right_type,
            } => {
                let right_value = done
                    .pop()
                    .expect("BUG: settled range missing right endpoint");
                let left_value = done
                    .pop()
                    .expect("BUG: settled range missing left endpoint");
                done.push(ValueKind::Range(
                    Box::new(TypedLiteral {
                        value: left_value,
                        lemma_type: left_type,
                    }),
                    Box::new(TypedLiteral {
                        value: right_value,
                        lemma_type: right_type,
                    }),
                ));
            }
            Task::AssembleList { row_types } => {
                let mut settled = Vec::with_capacity(row_types.len());
                for lemma_type in row_types.into_iter().rev() {
                    let value = done.pop().expect("BUG: settled list missing a row");
                    settled.push(TypedLiteral { value, lemma_type });
                }
                settled.reverse();
                done.push(ValueKind::List(settled.into()));
            }
        }
    }
    Ok(done
        .pop()
        .expect("BUG: settle_value_kind_with_scales leaves one result"))
}

fn static_option_match_with_scales(
    options: &TypeOptions,
    value: &ValueKind,
    scales: &std::collections::HashMap<String, crate::computation::rational::RationalInteger>,
) -> Result<bool, String> {
    let settled_value = settle_value_kind_with_scales(value, scales)?;
    for option in &options.values {
        let settled_option = settle_value_kind_with_scales(&option.value.value, scales)?;
        if option_values_match(&settled_option, &settled_value) {
            return Ok(true);
        }
    }
    Ok(false)
}

pub(crate) fn disallowed_message(
    lemma_type: &LemmaType,
    options: &TypeOptions,
    value: &ValueKind,
    rule_rows: Option<&ListValue>,
) -> String {
    let mut shown = options
        .values
        .iter()
        .map(|option| lemma_type.display_bound(&option.value))
        .collect::<Vec<_>>()
        .join(", ");
    if let Some(rows) = rule_rows {
        let rule_shown = rows
            .iter()
            .map(|row| row.value.to_string())
            .collect::<Vec<_>>()
            .join(", ");
        if !shown.is_empty() && !rule_shown.is_empty() {
            shown.push_str(", ");
        }
        shown.push_str(&rule_shown);
    }
    format!("'{value}' is not one of the allowed options: {shown}.")
}

/// Equality for option matching of scalar and list-of-scalar values. Spec values never
/// appear: a list of spec instances takes no options ([`SPEC_LIST_HAS_NO_OPTIONS`]).
fn option_values_match(option: &ValueKind, value: &ValueKind) -> bool {
    let mut values: Vec<(ValueKind, ValueKind)> = vec![(option.clone(), value.clone())];
    while let Some((left, right)) = values.pop() {
        match (left, right) {
            (ValueKind::Spec(_), _) | (_, ValueKind::Spec(_)) => {
                unreachable!(
                    "BUG: option matching saw a spec value; {}",
                    SPEC_LIST_HAS_NO_OPTIONS
                );
            }
            (ValueKind::List(left), ValueKind::List(right)) => {
                if left.len() != right.len() {
                    return false;
                }
                for (a, b) in left.iter().zip(right.iter()) {
                    if a.lemma_type != b.lemma_type {
                        return false;
                    }
                    values.push((a.into_owned().value, b.into_owned().value));
                }
            }
            (left, right) => {
                if left != right {
                    return false;
                }
            }
        }
    }
    true
}

pub(crate) fn option_detail_line(lemma_type: &LemmaType) -> Option<String> {
    let options = &lemma_type.options;
    let mut parts = Vec::new();
    if !options.values.is_empty() {
        parts.push(
            options
                .values
                .iter()
                .map(|option| lemma_type.display_bound(&option.value))
                .collect::<Vec<_>>()
                .join(", "),
        );
    }
    if let Some(name) = &options.rule {
        parts.push(name.clone());
    }
    if parts.is_empty() {
        None
    } else {
        Some(format!("options: {}", parts.join(", ")))
    }
}

fn reject_duplicate_options(lemma_type: &LemmaType, values: &[OptionValue]) -> Result<(), String> {
    for (index, option) in values.iter().enumerate() {
        if values[..index]
            .iter()
            .any(|earlier| earlier.value == option.value)
        {
            return Err(format!(
                "duplicate option '{}'",
                lemma_type.display_bound(&option.value)
            ));
        }
    }
    Ok(())
}

fn label_name(arg: &CommandArg, cmd: &str) -> Result<String, String> {
    match arg {
        CommandArg::Label(name) => Ok(name.clone()),
        CommandArg::Literal(other) => Err(format!(
            "{} requires an identifier, got {}",
            cmd,
            value_kind_name(other)
        )),
        CommandArg::UnitExpr(_) => Err(format!(
            "{} requires an identifier, got a unit expression",
            cmd
        )),
    }
}

fn measure_trait_name(measure_trait: MeasureTrait) -> &'static str {
    match measure_trait {
        MeasureTrait::Duration => "duration",
        MeasureTrait::Calendar => "calendar",
    }
}

fn parse_measure_trait(args: &[CommandArg]) -> Result<MeasureTrait, String> {
    if args.len() != 1 {
        return Err("trait requires exactly one identifier argument".to_string());
    }
    match label_name(&args[0], "trait")?
        .trim()
        .to_lowercase()
        .as_str()
    {
        "duration" => Ok(MeasureTrait::Duration),
        "calendar" => Ok(MeasureTrait::Calendar),
        other => Err(format!("Unknown measure trait '{}'", other)),
    }
}

fn validate_calendar_trait_requirements(units: &MeasureUnits) -> Result<(), String> {
    let month_unit = units
        .iter()
        .find(|unit| unit.name == "month")
        .ok_or_else(|| {
            "trait calendar requires a canonical 'month' unit declared before 'trait calendar'"
                .to_string()
        })?;
    if !month_unit.is_canonical_factor() {
        return Err("trait calendar requires unit month 1".to_string());
    }
    Ok(())
}

fn validate_duration_trait_requirements(units: &MeasureUnits) -> Result<(), String> {
    let second_unit = units
        .iter()
        .find(|unit| unit.name == "second")
        .ok_or_else(|| {
            "trait duration requires a canonical 'second' unit declared before 'trait duration'"
                .to_string()
        })?;
    if !second_unit.is_canonical_factor() {
        return Err("trait duration requires unit second 1".to_string());
    }
    Ok(())
}

/// Extract a [`DateTimeValue`] from a [`Value::Date`] literal arg.
fn require_date_literal(args: &[CommandArg], cmd: &str) -> Result<DateTimeValue, String> {
    match require_literal(args, cmd)? {
        crate::literals::Value::Date(dt) => Ok(dt.clone()),
        other => Err(format!(
            "{} requires a date literal (e.g. 2024-01-01), got {}",
            cmd,
            value_kind_name(other)
        )),
    }
}

/// Extract a [`TimeValue`] from a [`Value::Time`] literal arg.
fn require_time_literal(args: &[CommandArg], cmd: &str) -> Result<TimeValue, String> {
    match require_literal(args, cmd)? {
        crate::literals::Value::Time(t) => Ok(t.clone()),
        other => Err(format!(
            "{} requires a time literal (e.g. 12:30:00), got {}",
            cmd,
            value_kind_name(other)
        )),
    }
}

/// Default `help` for a built-in primitive (goal-oriented; syntax lives in [`LemmaType::example_value`]).
#[must_use]
pub fn default_help_for_primitive(kind: PrimitiveKind) -> &'static str {
    use PrimitiveKind::*;
    match kind {
        Boolean => "Whether this holds (true or false).",
        Number => "A dimensionless number.",
        NumberRange => "The lower and upper bound of the number range.",
        Text => "A text value.",
        Measure => "A numeric amount in one of this type's units.",
        MeasureRange => "The lower and upper bound of the measure range.",
        Ratio => "A ratio in one of this type's units (e.g. percent).",
        RatioRange => "The lower and upper bound of the ratio range.",
        Date => "A date, or a date and time with optional timezone.",
        DateRange => "The start date and end date of the date range.",
        Time => "A time of day, with optional timezone.",
        TimeRange => "The start time and end time of the time range.",
    }
}

impl TypeSpecification {
    pub fn boolean() -> Self {
        TypeSpecification::Boolean {
            help: default_help_for_primitive(PrimitiveKind::Boolean).to_string(),
        }
    }
    pub fn measure() -> Self {
        TypeSpecification::Measure {
            minimum: None,
            maximum: None,
            units: MeasureUnits::new(),
            traits: Vec::new(),
            decomposition: None,
            unit: None,
            help: default_help_for_primitive(PrimitiveKind::Measure).to_string(),
        }
    }
    pub fn number() -> Self {
        TypeSpecification::Number {
            minimum: None,
            maximum: None,
            decimals: None,
            help: default_help_for_primitive(PrimitiveKind::Number).to_string(),
        }
    }
    pub fn number_range() -> Self {
        TypeSpecification::NumberRange {
            lower: None,
            upper: None,
            minimum: None,
            maximum: None,
            help: default_help_for_primitive(PrimitiveKind::NumberRange).to_string(),
        }
    }
    pub fn ratio() -> Self {
        TypeSpecification::Ratio {
            minimum: None,
            maximum: None,
            units: RatioUnits(vec![
                RatioUnit {
                    name: "percent".to_string(),
                    value: crate::computation::rational::rational_new(100, 1),
                    minimum: None,
                    maximum: None,
                    suggestion_magnitude: None,
                },
                RatioUnit {
                    name: "permille".to_string(),
                    value: crate::computation::rational::rational_new(1000, 1),
                    minimum: None,
                    maximum: None,
                    suggestion_magnitude: None,
                },
            ]),
            unit: None,
            help: default_help_for_primitive(PrimitiveKind::Ratio).to_string(),
        }
    }
    pub fn ratio_range() -> Self {
        TypeSpecification::RatioRange {
            lower: None,
            upper: None,
            minimum: None,
            maximum: None,
            units: match TypeSpecification::ratio() {
                TypeSpecification::Ratio { units, .. } => units,
                _ => unreachable!("BUG: ratio constructor must return a ratio type"),
            },
            help: default_help_for_primitive(PrimitiveKind::RatioRange).to_string(),
        }
    }
    pub fn text() -> Self {
        TypeSpecification::Text {
            length: None,
            help: default_help_for_primitive(PrimitiveKind::Text).to_string(),
        }
    }
    pub fn date() -> Self {
        TypeSpecification::Date {
            minimum: None,
            maximum: None,
            help: default_help_for_primitive(PrimitiveKind::Date).to_string(),
        }
    }
    pub fn date_range() -> Self {
        TypeSpecification::DateRange {
            lower: None,
            upper: None,
            minimum: None,
            maximum: None,
            help: default_help_for_primitive(PrimitiveKind::DateRange).to_string(),
        }
    }
    pub fn time() -> Self {
        TypeSpecification::Time {
            minimum: None,
            maximum: None,
            help: default_help_for_primitive(PrimitiveKind::Time).to_string(),
        }
    }
    pub fn time_range() -> Self {
        TypeSpecification::TimeRange {
            lower: None,
            upper: None,
            minimum: None,
            maximum: None,
            help: default_help_for_primitive(PrimitiveKind::TimeRange).to_string(),
        }
    }
    pub fn measure_range() -> Self {
        TypeSpecification::MeasureRange {
            lower: None,
            upper: None,
            minimum: None,
            maximum: None,
            units: MeasureUnits::new(),
            decomposition: None,
            help: default_help_for_primitive(PrimitiveKind::MeasureRange).to_string(),
        }
    }

    /// Element spec for a range type (e.g. `MeasureRange` → `Measure`).
    #[must_use]
    pub fn element_from_range(&self) -> Option<Self> {
        match self {
            TypeSpecification::NumberRange { lower, upper, .. } => {
                Some(TypeSpecification::Number {
                    minimum: lower.clone(),
                    maximum: upper.clone(),
                    decimals: None,
                    help: String::new(),
                })
            }
            TypeSpecification::MeasureRange {
                lower,
                upper,
                units,
                decomposition,
                ..
            } => Some(TypeSpecification::Measure {
                minimum: lower.clone(),
                maximum: upper.clone(),
                units: units.clone(),
                traits: Vec::new(),
                decomposition: decomposition.clone(),
                unit: None,
                help: String::new(),
            }),
            TypeSpecification::DateRange { lower, upper, .. } => Some(TypeSpecification::Date {
                minimum: lower.clone(),
                maximum: upper.clone(),
                help: String::new(),
            }),
            TypeSpecification::TimeRange { lower, upper, .. } => Some(TypeSpecification::Time {
                minimum: lower.clone(),
                maximum: upper.clone(),
                help: String::new(),
            }),
            TypeSpecification::RatioRange {
                lower,
                upper,
                units,
                ..
            } => Some(TypeSpecification::Ratio {
                minimum: lower.clone(),
                maximum: upper.clone(),
                units: units.clone(),
                unit: None,
                help: String::new(),
            }),
            _ => None,
        }
    }

    /// Range spec for an element type (e.g. `Measure` → `MeasureRange`).
    #[must_use]
    pub fn range_from_element(&self) -> Option<Self> {
        match self {
            TypeSpecification::Number {
                minimum, maximum, ..
            } => Some(TypeSpecification::NumberRange {
                lower: minimum.clone(),
                upper: maximum.clone(),
                minimum: None,
                maximum: None,
                help: default_help_for_primitive(PrimitiveKind::NumberRange).to_string(),
            }),
            TypeSpecification::Measure {
                minimum,
                maximum,
                units,
                decomposition,
                ..
            } => Some(TypeSpecification::MeasureRange {
                lower: minimum.clone(),
                upper: maximum.clone(),
                minimum: None,
                maximum: None,
                units: units.clone(),
                decomposition: decomposition.clone(),
                help: default_help_for_primitive(PrimitiveKind::MeasureRange).to_string(),
            }),
            TypeSpecification::Date {
                minimum, maximum, ..
            } => Some(TypeSpecification::DateRange {
                lower: minimum.clone(),
                upper: maximum.clone(),
                minimum: None,
                maximum: None,
                help: default_help_for_primitive(PrimitiveKind::DateRange).to_string(),
            }),
            TypeSpecification::Time {
                minimum, maximum, ..
            } => Some(TypeSpecification::TimeRange {
                lower: minimum.clone(),
                upper: maximum.clone(),
                minimum: None,
                maximum: None,
                help: default_help_for_primitive(PrimitiveKind::TimeRange).to_string(),
            }),
            TypeSpecification::Ratio {
                minimum,
                maximum,
                units,
                ..
            } => Some(TypeSpecification::RatioRange {
                lower: minimum.clone(),
                upper: maximum.clone(),
                minimum: None,
                maximum: None,
                units: units.clone(),
                help: default_help_for_primitive(PrimitiveKind::RatioRange).to_string(),
            }),
            _ => None,
        }
    }

    /// Type-level minimum as decimal: bare number bound, ratio canonical fraction, or
    /// measure magnitude in the declaring unit (unit tag ignored). Interactive prompts that
    /// ask for a selected-unit magnitude must use [`crate::RatioUnit`] /
    /// [`crate::MeasureUnit`] decimals after unit selection instead.
    #[must_use]
    pub fn minimum_decimal(&self) -> Option<Decimal> {
        match self {
            TypeSpecification::Number { minimum, .. }
            | TypeSpecification::Ratio { minimum, .. } => minimum.as_ref().map(|bound| {
                bound
                    .try_to_decimal()
                    .expect("BUG: planned minimum must convert to decimal")
            }),
            TypeSpecification::Measure { minimum, .. } => minimum.as_ref().map(|(bound, _)| {
                bound
                    .try_to_decimal()
                    .expect("BUG: planned minimum must convert to decimal")
            }),
            _ => None,
        }
    }

    /// Type-level maximum as decimal: bare number bound, ratio canonical fraction, or
    /// measure magnitude in the declaring unit (unit tag ignored). Interactive prompts that
    /// ask for a selected-unit magnitude must use [`crate::RatioUnit`] /
    /// [`crate::MeasureUnit`] decimals after unit selection instead.
    #[must_use]
    pub fn maximum_decimal(&self) -> Option<Decimal> {
        match self {
            TypeSpecification::Number { maximum, .. }
            | TypeSpecification::Ratio { maximum, .. } => maximum.as_ref().map(|bound| {
                bound
                    .try_to_decimal()
                    .expect("BUG: planned maximum must convert to decimal")
            }),
            TypeSpecification::Measure { maximum, .. } => maximum.as_ref().map(|(bound, _)| {
                bound
                    .try_to_decimal()
                    .expect("BUG: planned maximum must convert to decimal")
            }),
            _ => None,
        }
    }

    pub fn veto() -> Self {
        TypeSpecification::Veto { message: None }
    }

    /// Apply a single constraint command to this spec.
    ///
    /// The `declared_suggestion` and `declared_value` out-parameters receive default values
    /// (if the command is `Suggest` or `With`), encoded as [`RawSuggestion`]. Defaults are
    /// owned by the data binding or typedef entry, not by the type specification itself;
    /// callers thread `&mut Option<RawSuggestion>` for each across constraint applications
    /// for one declaration. Duplicate `-> suggest` / `-> with` / `minimum` / `maximum` /
    /// `decimals` on the same declaration are rejected by the caller seen-set before this
    /// runs. A child typedef may override an inherited suggest, with, or bound with one
    /// command of that kind. Measure scalars stay raw until unit factors are resolved;
    /// callers convert via [`bound_value_kind_from_raw_suggestion`].
    pub fn apply_constraint(
        &mut self,
        names: ConstraintNames<'_>,
        command: TypeConstraintCommand,
        args: &[CommandArg],
        declared_suggestion: &mut Option<RawSuggestion>,
        declared_value: &mut Option<RawSuggestion>,
        resolve_unit: Option<&UnitTokenResolver<'_>>,
    ) -> Result<(), String> {
        let type_name = names.type_name;
        if command == TypeConstraintCommand::With
            && args.len() > 1
            && !matches!(self, TypeSpecification::List { .. })
        {
            return Err(format!("`-> with` on {self} takes exactly one value"));
        }
        if command == TypeConstraintCommand::Trait
            && !matches!(&self, TypeSpecification::Measure { .. })
        {
            return Err("trait command is only valid on measure types".to_string());
        }
        match self {
            TypeSpecification::Boolean { help } => match command {
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let (target, cmd) = match command {
                        TypeConstraintCommand::Suggest => (&mut *declared_suggestion, "suggest"),
                        TypeConstraintCommand::With => (&mut *declared_value, "with"),
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let lit = require_literal(args, cmd)?;
                    reject_calendar_for_suggestion(
                        lit,
                        type_name,
                        SuggestionExpectation::Boolean,
                        None,
                    )?;
                    match lit {
                        crate::literals::Value::Boolean(bv) => {
                            *target =
                                Some(RawSuggestion::Value(ValueKind::Boolean(bool::from(bv))));
                        }
                        _ => {
                            return Err(
                                "Please provide true or false, for example `-> suggest true`."
                                    .to_string(),
                            );
                        }
                    }
                }
                other => {
                    return Err(format!(
                        "Invalid command '{}' for boolean type. Valid commands: help, suggest, with",
                        other
                    ));
                }
            },
            TypeSpecification::Measure {
                minimum,
                maximum,
                units,
                traits,
                help,
                ..
            } => match command {
                TypeConstraintCommand::Decimals => {
                    return Err(decimals_depend_on_the_unit_error(
                        "measure",
                        names,
                        args,
                        units.0.first().map(|unit| unit.name.as_str()),
                    )?);
                }
                TypeConstraintCommand::Unit => match args {
                    [CommandArg::Label(name), CommandArg::UnitExpr(crate::parsing::ast::UnitArg::Reference(reference))] =>
                    {
                        let unit_name = name.clone();
                        let written = reference.to_string();
                        if let Some(existing) = units.0.iter().find(|u| u.name == unit_name) {
                            let same = match &existing.scale {
                                UnitScale::Unresolved {
                                    segments,
                                    name: target_name,
                                    ..
                                } => {
                                    segments == &reference.segments
                                        && target_name == &reference.name
                                }
                                UnitScale::Literal(_) | UnitScale::Reference { .. } => false,
                            };
                            if !same {
                                return Err(format!(
                                        "Unit '{unit_name}' is already defined in this type's inherited units; \
                                         cannot change factor or decomposition. Add a new unit name instead."
                                    ));
                            }
                        } else {
                            units.0.push(MeasureUnit::from_reference(
                                unit_name,
                                written,
                                reference.segments.clone(),
                                reference.name.clone(),
                            ));
                        }
                    }
                    [CommandArg::Label(name), CommandArg::UnitExpr(crate::parsing::ast::UnitArg::Factor(value))] =>
                    {
                        apply_measure_unit_factor(units, name.clone(), *value, Vec::new())?;
                    }
                    [CommandArg::Label(name), CommandArg::UnitExpr(crate::parsing::ast::UnitArg::Expr(prefix, factors))] =>
                    {
                        let derived_measure_factors: Vec<(String, i32)> = factors
                            .iter()
                            .map(|f| (f.measure_ref.clone(), f.exp))
                            .collect();
                        apply_measure_unit_factor(
                            units,
                            name.clone(),
                            *prefix,
                            derived_measure_factors,
                        )?;
                    }
                    _ => {
                        return Err(
                                "unit requires a unit name followed by a conversion factor, compound unit expression, or number reference (e.g., 'unit eur 1.00', 'unit mps meter/second', 'unit gbp rate')"
                                    .to_string(),
                            );
                    }
                },
                TypeConstraintCommand::Trait => {
                    let measure_trait = parse_measure_trait(args)?;
                    if traits.contains(&measure_trait) {
                        return Err(format!(
                            "Duplicate trait '{}' for measure type.",
                            measure_trait_name(measure_trait)
                        ));
                    }
                    if measure_trait == MeasureTrait::Duration {
                        validate_duration_trait_requirements(units)?;
                    }
                    if measure_trait == MeasureTrait::Calendar {
                        validate_calendar_trait_requirements(units)?;
                    }
                    traits.push(measure_trait);
                }
                TypeConstraintCommand::Minimum => {
                    *minimum = Some(parse_measure_declared_bound(
                        args, "minimum", units, type_name,
                    )?);
                }
                TypeConstraintCommand::Maximum => {
                    *maximum = Some(parse_measure_declared_bound(
                        args, "maximum", units, type_name,
                    )?);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let (target, cmd) = match command {
                        TypeConstraintCommand::Suggest => (&mut *declared_suggestion, "suggest"),
                        TypeConstraintCommand::With => (&mut *declared_value, "with"),
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let lit = require_literal(args, cmd)?;
                    if !traits.contains(&MeasureTrait::Calendar) {
                        reject_calendar_for_suggestion(
                            lit,
                            type_name,
                            SuggestionExpectation::MeasureUnits,
                            Some(units),
                        )?;
                    }
                    match lit {
                        crate::literals::Value::NumberWithUnit(n, unit_name) => {
                            if units
                                .get(unit_name)
                                .is_ok_and(crate::literals::MeasureUnit::is_dynamic)
                            {
                                *target = Some(RawSuggestion::Measure {
                                    magnitude: lift_parser_decimal(*n)?,
                                    unit_name: unit_name.clone(),
                                });
                            } else {
                                let (magnitude, unit_name) =
                                    parse_measure_declared_bound(args, cmd, units, type_name)?;
                                *target = Some(RawSuggestion::Measure {
                                    magnitude,
                                    unit_name,
                                });
                            }
                        }
                        _ => {
                            return Err(measure_suggestion_wrong_shape_error(type_name, traits));
                        }
                    }
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for measure type. Valid commands: unit, trait, minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::Number {
                decimals,
                minimum,
                maximum,
                help,
            } => match command {
                TypeConstraintCommand::Decimals => {
                    let d = require_decimal_literal(args, "decimals")?;
                    *decimals = Some(decimal_to_u8(d, "decimals")?);
                }
                TypeConstraintCommand::Unit => {
                    return Err(
                        "Invalid command 'unit' for number type. Number types are dimensionless and cannot have units. Use 'measure' type instead.".to_string()
                    );
                }
                TypeConstraintCommand::Minimum => {
                    *minimum = Some(require_decimal_literal(args, "minimum")?);
                }
                TypeConstraintCommand::Maximum => {
                    *maximum = Some(require_decimal_literal(args, "maximum")?);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let (target, cmd) = match command {
                        TypeConstraintCommand::Suggest => (&mut *declared_suggestion, "suggest"),
                        TypeConstraintCommand::With => (&mut *declared_value, "with"),
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let lit = require_literal(args, cmd)?;
                    reject_calendar_for_suggestion(
                        lit,
                        type_name,
                        SuggestionExpectation::Number,
                        None,
                    )?;
                    match lit {
                        crate::literals::Value::Number(d) => {
                            *target = Some(RawSuggestion::Value(ValueKind::Number(
                                lift_parser_decimal(*d)?,
                            )));
                        }
                        _ => {
                            return Err(
                                "Please provide a number, for example `-> suggest 42`.".to_string()
                            );
                        }
                    }
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for number type. Valid commands: minimum, maximum, decimals, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::NumberRange {
                lower,
                upper,
                minimum,
                maximum,
                help,
            } => match command {
                TypeConstraintCommand::Lower => {
                    *lower = Some(require_decimal_literal(args, "lower")?);
                }
                TypeConstraintCommand::Upper => {
                    *upper = Some(require_decimal_literal(args, "upper")?);
                }
                TypeConstraintCommand::Minimum => {
                    let width = require_decimal_literal(args, "minimum")?;
                    reject_negative_width_magnitude(&width, "minimum")?;
                    *minimum = Some(width);
                }
                TypeConstraintCommand::Maximum => {
                    let width = require_decimal_literal(args, "maximum")?;
                    reject_negative_width_magnitude(&width, "maximum")?;
                    *maximum = Some(width);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let target = match command {
                        TypeConstraintCommand::Suggest => &mut *declared_suggestion,
                        TypeConstraintCommand::With => &mut *declared_value,
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let (left, right) = require_suggestion_range_endpoints(
                        args,
                        type_name,
                        SuggestionExpectation::NumberRange,
                        None,
                    )?;
                    let left = literal_value_from_parser_value(left)?;
                    let right = literal_value_from_parser_value(right)?;
                    if !left.lemma_type.is_number() || !right.lemma_type.is_number() {
                        return Err(
                            "Please provide a number range, for example `-> suggest 10...100`."
                                .to_string(),
                        );
                    }
                    *target = Some(RawSuggestion::Value(ValueKind::Range(
                        Box::new(left),
                        Box::new(right),
                    )));
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for number range type. Valid commands: lower, upper, minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::Ratio {
                minimum,
                maximum,
                units,
                unit: _,
                help,
            } => match command {
                TypeConstraintCommand::Decimals => {
                    return Err(decimals_depend_on_the_unit_error(
                        "ratio",
                        names,
                        args,
                        units.0.first().map(|unit| unit.name.as_str()),
                    )?);
                }
                TypeConstraintCommand::Unit => {
                    let (unit_name, value_dec) = match args {
                        [CommandArg::Label(name), CommandArg::UnitExpr(crate::parsing::ast::UnitArg::Factor(v))] => {
                            (name.clone(), *v)
                        }
                        _ => {
                            return Err(
                                "unit requires a unit name followed by a numeric conversion factor (e.g., '-> unit percent: 100'). Compound unit expressions are not supported for ratio types."
                                    .to_string(),
                            );
                        }
                    };
                    let value = crate::computation::rational::decimal_to_rational(value_dec)
                        .map_err(|failure| {
                            format!(
                                "ratio unit value is not exactly representable as a rational: {}",
                                failure
                            )
                        })?;
                    if let Some(existing) = units.0.iter().find(|u| u.name == unit_name) {
                        if existing.value != value {
                            return Err(format!(
                                "Unit '{unit_name}' is already defined in this type's inherited units; \
                                 cannot change factor. Add a new unit name instead."
                            ));
                        }
                    } else {
                        units.0.push(RatioUnit {
                            name: unit_name,
                            value,
                            minimum: None,
                            maximum: None,
                            suggestion_magnitude: None,
                        });
                    }
                }
                TypeConstraintCommand::Minimum => {
                    let canonical = ratio_bound_to_canonical_rational(args, "minimum", units)?;
                    sync_ratio_units_from_canonical(
                        units,
                        &canonical,
                        UnitConstraintField::Minimum,
                    )?;
                    *minimum = Some(canonical);
                }
                TypeConstraintCommand::Maximum => {
                    let canonical = ratio_bound_to_canonical_rational(args, "maximum", units)?;
                    sync_ratio_units_from_canonical(
                        units,
                        &canonical,
                        UnitConstraintField::Maximum,
                    )?;
                    *maximum = Some(canonical);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let (target, cmd) = match command {
                        TypeConstraintCommand::Suggest => (&mut *declared_suggestion, "suggest"),
                        TypeConstraintCommand::With => (&mut *declared_value, "with"),
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let lit = require_literal(args, cmd)?;
                    reject_calendar_for_suggestion(
                        lit,
                        type_name,
                        SuggestionExpectation::Ratio,
                        None,
                    )?;
                    match lit {
                        crate::literals::Value::NumberWithUnit(_, unit_name) => {
                            let element_type = LemmaType::primitive(TypeSpecification::Ratio {
                                minimum: minimum.clone(),
                                maximum: maximum.clone(),
                                units: units.clone(),
                                unit: None,
                                help: help.clone(),
                            });
                            let value = parser_value_to_value_kind(lit, &element_type, None)?;
                            sync_ratio_suggestion_units(units, &value)?;
                            *target = Some(RawSuggestion::UnitBound {
                                value,
                                unit_name: unit_name.clone(),
                            });
                        }
                        other => {
                            return Err(format!(
                                "suggest requires a ratio literal with a unit, got {}. Please provide a ratio value with a unit, for example `-> suggest 25%`.",
                                value_kind_name(other)
                            ));
                        }
                    }
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for ratio type. Valid commands: unit, minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::RatioRange {
                lower,
                upper,
                minimum,
                maximum,
                units,
                help,
            } => match command {
                TypeConstraintCommand::Unit => {
                    return Err(format!(
                        "'unit' is not allowed on 'ratio range' type '{type_name}'. Declare units on a ratio type and write 'data x: <that type> range'."
                    ));
                }
                TypeConstraintCommand::Lower => {
                    *lower = Some(ratio_bound_to_canonical_rational(args, "lower", units)?);
                }
                TypeConstraintCommand::Upper => {
                    *upper = Some(ratio_bound_to_canonical_rational(args, "upper", units)?);
                }
                TypeConstraintCommand::Minimum => {
                    let width = ratio_bound_to_canonical_rational(args, "minimum", units)?;
                    reject_negative_width_magnitude(&width, "minimum")?;
                    *minimum = Some(width);
                }
                TypeConstraintCommand::Maximum => {
                    let width = ratio_bound_to_canonical_rational(args, "maximum", units)?;
                    reject_negative_width_magnitude(&width, "maximum")?;
                    *maximum = Some(width);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let target = match command {
                        TypeConstraintCommand::Suggest => &mut *declared_suggestion,
                        TypeConstraintCommand::With => &mut *declared_value,
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let (left, right) = require_suggestion_range_endpoints(
                        args,
                        type_name,
                        SuggestionExpectation::RatioRange,
                        None,
                    )?;
                    let element_type = LemmaType::primitive(
                        TypeSpecification::RatioRange {
                            lower: lower.clone(),
                            upper: upper.clone(),
                            minimum: minimum.clone(),
                            maximum: maximum.clone(),
                            units: units.clone(),
                            help: help.clone(),
                        }
                        .element_from_range()
                        .expect("BUG: RatioRange must define element_from_range"),
                    );
                    let left = lift_range_endpoint(left, &element_type, resolve_unit)?;
                    let right = lift_range_endpoint(right, &element_type, resolve_unit)?;
                    if !value_kind_matches_spec(&left.value, &element_type.specifications)
                        || !value_kind_matches_spec(&right.value, &element_type.specifications)
                        || !matches!(&left.value, ValueKind::Ratio(_))
                        || !matches!(&right.value, ValueKind::Ratio(_))
                    {
                        return Err(
                            "Please provide a ratio range, for example `-> suggest 10%...50%`."
                                .to_string(),
                        );
                    }
                    *target = Some(RawSuggestion::Value(ValueKind::Range(
                        Box::new(left),
                        Box::new(right),
                    )));
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for ratio range type. Valid commands: lower, upper, minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::Text { length, help } => match command {
                TypeConstraintCommand::Length => {
                    let d = require_decimal_literal(args, "length")?;
                    *length = Some(decimal_to_usize(d, "length")?);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let (target, cmd) = match command {
                        TypeConstraintCommand::Suggest => (&mut *declared_suggestion, "suggest"),
                        TypeConstraintCommand::With => (&mut *declared_value, "with"),
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let lit = require_literal(args, cmd)?;
                    reject_calendar_for_suggestion(
                        lit,
                        type_name,
                        SuggestionExpectation::Text,
                        None,
                    )?;
                    match lit {
                        crate::literals::Value::Text(s) => {
                            *target =
                                Some(RawSuggestion::Value(ValueKind::Text(Arc::from(s.as_str()))));
                        }
                        _ => {
                            return Err(
                                "Please provide a text value in double quotes, for example `-> suggest \"my default value\"`."
                                    .to_string(),
                            );
                        }
                    }
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for text type. Valid commands: length, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::Date {
                minimum,
                maximum,
                help,
            } => match command {
                TypeConstraintCommand::Minimum => {
                    let dt = require_date_literal(args, "minimum")?;
                    *minimum = Some(dt);
                }
                TypeConstraintCommand::Maximum => {
                    let dt = require_date_literal(args, "maximum")?;
                    *maximum = Some(dt);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let (target, cmd) = match command {
                        TypeConstraintCommand::Suggest => (&mut *declared_suggestion, "suggest"),
                        TypeConstraintCommand::With => (&mut *declared_value, "with"),
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let lit = require_literal(args, cmd)?;
                    reject_calendar_for_suggestion(
                        lit,
                        type_name,
                        SuggestionExpectation::Date,
                        None,
                    )?;
                    match lit {
                        crate::literals::Value::Date(dt) => {
                            *target = Some(RawSuggestion::Value(ValueKind::Date(
                                date_time_to_semantic(dt),
                            )));
                        }
                        _ => {
                            return Err(
                                "Please provide a date, for example `-> suggest 2024-06-15`."
                                    .to_string(),
                            );
                        }
                    }
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for date type. Valid commands: minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::DateRange {
                lower,
                upper,
                minimum,
                maximum,
                help,
            } => match command {
                TypeConstraintCommand::Lower => {
                    *lower = Some(require_date_literal(args, "lower")?);
                }
                TypeConstraintCommand::Upper => {
                    *upper = Some(require_date_literal(args, "upper")?);
                }
                TypeConstraintCommand::Minimum => {
                    *minimum = Some(parse_unresolved_width_bound(args, "minimum")?);
                }
                TypeConstraintCommand::Maximum => {
                    *maximum = Some(parse_unresolved_width_bound(args, "maximum")?);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let target = match command {
                        TypeConstraintCommand::Suggest => &mut *declared_suggestion,
                        TypeConstraintCommand::With => &mut *declared_value,
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let (left, right) = require_suggestion_range_endpoints(
                        args,
                        type_name,
                        SuggestionExpectation::DateRange,
                        None,
                    )?;
                    let left = literal_value_from_parser_value(left)?;
                    let right = literal_value_from_parser_value(right)?;
                    if !left.lemma_type.is_date() || !right.lemma_type.is_date() {
                        return Err(
                            "Please provide a date range, for example `-> suggest 2024-01-01...2024-12-31`."
                                .to_string(),
                        );
                    }
                    *target = Some(RawSuggestion::Value(ValueKind::Range(
                        Box::new(left),
                        Box::new(right),
                    )));
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for date range type. Valid commands: lower, upper, minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::Time {
                minimum,
                maximum,
                help,
            } => match command {
                TypeConstraintCommand::Minimum => {
                    let t = require_time_literal(args, "minimum")?;
                    *minimum = Some(t);
                }
                TypeConstraintCommand::Maximum => {
                    let t = require_time_literal(args, "maximum")?;
                    *maximum = Some(t);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let (target, cmd) = match command {
                        TypeConstraintCommand::Suggest => (&mut *declared_suggestion, "suggest"),
                        TypeConstraintCommand::With => (&mut *declared_value, "with"),
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let lit = require_literal(args, cmd)?;
                    reject_calendar_for_suggestion(
                        lit,
                        type_name,
                        SuggestionExpectation::Time,
                        None,
                    )?;
                    match lit {
                        crate::literals::Value::Time(t) => {
                            *target =
                                Some(RawSuggestion::Value(ValueKind::Time(time_to_semantic(t))));
                        }
                        _ => {
                            return Err(
                                "Please provide a time, for example `-> suggest 09:00:00`."
                                    .to_string(),
                            );
                        }
                    }
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for time type. Valid commands: minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::TimeRange {
                lower,
                upper,
                minimum,
                maximum,
                help,
            } => match command {
                TypeConstraintCommand::Lower => {
                    *lower = Some(require_time_literal(args, "lower")?);
                }
                TypeConstraintCommand::Upper => {
                    *upper = Some(require_time_literal(args, "upper")?);
                }
                TypeConstraintCommand::Minimum => {
                    *minimum = Some(parse_unresolved_width_bound(args, "minimum")?);
                }
                TypeConstraintCommand::Maximum => {
                    *maximum = Some(parse_unresolved_width_bound(args, "maximum")?);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let target = match command {
                        TypeConstraintCommand::Suggest => &mut *declared_suggestion,
                        TypeConstraintCommand::With => &mut *declared_value,
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let (left, right) = require_suggestion_range_endpoints(
                        args,
                        type_name,
                        SuggestionExpectation::TimeRange,
                        None,
                    )?;
                    let left = literal_value_from_parser_value(left)?;
                    let right = literal_value_from_parser_value(right)?;
                    if !left.lemma_type.is_time() || !right.lemma_type.is_time() {
                        return Err(
                            "Please provide a time range, for example `-> suggest 09:00...17:00`."
                                .to_string(),
                        );
                    }
                    *target = Some(RawSuggestion::Value(ValueKind::Range(
                        Box::new(left),
                        Box::new(right),
                    )));
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for time range type. Valid commands: lower, upper, minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::MeasureRange {
                lower,
                upper,
                minimum,
                maximum,
                units,
                decomposition,
                help,
            } => match command {
                TypeConstraintCommand::Unit => {
                    return Err(format!(
                        "'unit' is not allowed on 'measure range' type '{type_name}'. Declare units on a measure type and write 'data x: <that type> range'."
                    ));
                }
                TypeConstraintCommand::Lower => {
                    *lower = Some(parse_measure_declared_bound(
                        args, "lower", units, type_name,
                    )?);
                }
                TypeConstraintCommand::Upper => {
                    *upper = Some(parse_measure_declared_bound(
                        args, "upper", units, type_name,
                    )?);
                }
                TypeConstraintCommand::Minimum => {
                    let width = parse_measure_declared_bound(args, "minimum", units, type_name)?;
                    reject_negative_width_magnitude(&width.0, "minimum")?;
                    *minimum = Some(width);
                }
                TypeConstraintCommand::Maximum => {
                    let width = parse_measure_declared_bound(args, "maximum", units, type_name)?;
                    reject_negative_width_magnitude(&width.0, "maximum")?;
                    *maximum = Some(width);
                }
                TypeConstraintCommand::Help => {
                    apply_type_help_command(help, args)?;
                }
                TypeConstraintCommand::Suggest | TypeConstraintCommand::With => {
                    let target = match command {
                        TypeConstraintCommand::Suggest => &mut *declared_suggestion,
                        TypeConstraintCommand::With => &mut *declared_value,
                        _ => unreachable!("BUG: only Suggest or With in this arm"),
                    };
                    let (left, right) = require_suggestion_range_endpoints(
                        args,
                        type_name,
                        SuggestionExpectation::MeasureRange,
                        Some(units),
                    )?;
                    let element_type = LemmaType::primitive(
                        TypeSpecification::MeasureRange {
                            lower: lower.clone(),
                            upper: upper.clone(),
                            minimum: minimum.clone(),
                            maximum: maximum.clone(),
                            units: units.clone(),
                            decomposition: decomposition.clone(),
                            help: help.clone(),
                        }
                        .element_from_range()
                        .expect("BUG: MeasureRange must define element_from_range"),
                    );
                    let left = lift_range_endpoint(left, &element_type, resolve_unit)?;
                    let right = lift_range_endpoint(right, &element_type, resolve_unit)?;
                    if !value_kind_matches_spec(&left.value, &element_type.specifications)
                        || !value_kind_matches_spec(&right.value, &element_type.specifications)
                        || !matches!(&left.value, ValueKind::Measure(_))
                        || !matches!(&right.value, ValueKind::Measure(_))
                    {
                        return Err(format!(
                            "Please provide a range with units valid for '{type_name}', for example `-> suggest 30 kilogram...35 kilogram`."
                        ));
                    }
                    *target = Some(RawSuggestion::Value(ValueKind::Range(
                        Box::new(left),
                        Box::new(right),
                    )));
                }
                _ => {
                    return Err(format!(
                        "Invalid command '{}' for measure range type. Valid commands: lower, upper, minimum, maximum, help, suggest, with",
                        command
                    ));
                }
            },
            TypeSpecification::Veto { .. } => {
                return Err(format!(
                    "Invalid command '{}' for veto type. Veto is not a user-declarable type and cannot have constraints",
                    command
                ));
            }
            TypeSpecification::Undetermined => {
                return Err(format!(
                    "Invalid command '{}' for undetermined sentinel type. Undetermined is an internal type used during type inference and cannot have constraints",
                    command
                ));
            }
            TypeSpecification::Spec { .. } => {
                return Err(format!(
                    "Invalid command '{command}' for spec type. A spec instance has no data constraints"
                ));
            }
            TypeSpecification::List { element, help, .. } => match command {
                TypeConstraintCommand::Help => {
                    if matches!(element.specifications, TypeSpecification::Spec { .. }) {
                        apply_type_help_command(help, args)?;
                    } else {
                        let mut unused_suggestion = None;
                        let mut unused_value = None;
                        Arc::make_mut(element).specifications.apply_constraint(
                            names,
                            command,
                            args,
                            &mut unused_suggestion,
                            &mut unused_value,
                            resolve_unit,
                        )?;
                    }
                }
                TypeConstraintCommand::With => {
                    return Err(
                        "BUG: list -> with is applied before TypeSpecification::apply_constraint"
                            .to_string(),
                    );
                }
                other => {
                    return Err(format!(
                        "Invalid command '{other}' for list type. Valid commands: with, help"
                    ));
                }
            },
        }
        Ok(())
    }
}

/// Parse a "number unit" string into a Measure or Ratio value according to the type.
/// Caller must have obtained the TypeSpecification via unit_index from the unit in the string.
pub fn parse_number_unit(
    value_str: &str,
    type_spec: &TypeSpecification,
) -> Result<crate::parsing::ast::Value, String> {
    use crate::literals::{NumberWithUnit, RatioLiteral};
    use crate::parsing::ast::Value;

    let trimmed = value_str.trim();
    match type_spec {
        TypeSpecification::Measure { units, .. } => {
            if units.is_empty() {
                unreachable!(
                    "BUG: Measure type has no units; should have been validated during planning"
                );
            }
            match trimmed.parse::<NumberWithUnit>() {
                Ok(n) => {
                    let unit = units.get(&n.1).map_err(|e| e.to_string())?;
                    Ok(Value::NumberWithUnit(n.0, unit.name.clone()))
                }
                Err(e) => {
                    if trimmed.split_whitespace().count() == 1 && !trimmed.is_empty() {
                        let valid: Vec<&str> = units.iter().map(|u| u.name.as_str()).collect();
                        let example_unit = units
                            .iter()
                            .next()
                            .expect("BUG: units non-empty after guard")
                            .name
                            .as_str();
                        Err(format!(
                            "Measure value must include a unit, for example: '{} {}'. Valid units: {}.",
                            trimmed,
                            example_unit,
                            valid.join(", ")
                        ))
                    } else {
                        Err(e)
                    }
                }
            }
        }
        TypeSpecification::Ratio { units, .. } => {
            if units.is_empty() {
                unreachable!(
                    "BUG: Ratio type has no units; should have been validated during planning"
                );
            }
            match trimmed.parse::<RatioLiteral>()? {
                RatioLiteral::Bare(_) => {
                    Err("Ratio value requires a unit (e.g. '50%', '500 basis_points').".to_string())
                }
                RatioLiteral::Percent(n) => {
                    let unit = units.get("percent").map_err(|e| e.to_string())?;
                    Ok(Value::NumberWithUnit(n, unit.name.clone()))
                }
                RatioLiteral::Permille(n) => {
                    let unit = units.get("permille").map_err(|e| e.to_string())?;
                    Ok(Value::NumberWithUnit(n, unit.name.clone()))
                }
                RatioLiteral::Named { value, unit } => {
                    let resolved = units.get(&unit).map_err(|e| e.to_string())?;
                    Ok(Value::NumberWithUnit(value, resolved.name.clone()))
                }
            }
        }
        _ => Err("parse_number_unit only accepts Measure or Ratio type".to_string()),
    }
}

/// Parse a string value according to a TypeSpecification.
/// Used to parse runtime user input into typed values.
pub fn parse_value_from_string(
    value_str: &str,
    type_spec: &TypeSpecification,
    source: &Source,
) -> Result<crate::parsing::ast::Value, Error> {
    match type_spec {
        TypeSpecification::NumberRange { .. }
        | TypeSpecification::MeasureRange { .. }
        | TypeSpecification::DateRange { .. }
        | TypeSpecification::TimeRange { .. }
        | TypeSpecification::RatioRange { .. } => {
            let element_spec = range_element_type_specification(type_spec).unwrap_or_else(|| {
                unreachable!(
                    "BUG: range_element_type_specification missing arm for known range type"
                )
            });
            parse_range_value_from_string(value_str, &element_spec, source)
        }
        _ => parse_scalar_value_from_string(value_str, type_spec, source),
    }
}

fn parse_range_value_from_string(
    value_str: &str,
    element_spec: &TypeSpecification,
    source: &Source,
) -> Result<crate::parsing::ast::Value, Error> {
    use crate::parsing::ast::Value;

    let to_err = |msg: String| Error::validation(msg, Some(source.clone()), None::<String>);

    let (left_str, right_str) = value_str.split_once("...").ok_or_else(|| {
        to_err("Range value must use '...' between the two endpoints".to_string())
    })?;
    if left_str.trim().is_empty() || right_str.trim().is_empty() {
        return Err(to_err(
            "Range value must contain a non-empty left and right endpoint".to_string(),
        ));
    }
    let left = parse_scalar_value_from_string(left_str.trim(), element_spec, source)?;
    let right = parse_scalar_value_from_string(right_str.trim(), element_spec, source)?;
    Ok(Value::Range(Box::new(left), Box::new(right)))
}

fn parse_scalar_value_from_string(
    value_str: &str,
    type_spec: &TypeSpecification,
    source: &Source,
) -> Result<crate::parsing::ast::Value, Error> {
    use crate::parsing::ast::Value;

    let to_err = |msg: String| Error::validation(msg, Some(source.clone()), None::<String>);

    match type_spec {
        TypeSpecification::Text { .. } => value_str
            .parse::<crate::literals::TextLiteral>()
            .map(|t| Value::Text(t.0))
            .map_err(to_err),
        TypeSpecification::Number { .. } => value_str
            .parse::<crate::literals::NumberLiteral>()
            .map(|n| Value::Number(n.0))
            .map_err(to_err),
        TypeSpecification::Measure { .. } => {
            parse_number_unit(value_str, type_spec).map_err(to_err)
        }
        TypeSpecification::Boolean { .. } => value_str
            .parse::<BooleanValue>()
            .map(Value::Boolean)
            .map_err(to_err),
        TypeSpecification::Date { .. } => {
            let date = value_str.parse::<DateTimeValue>().map_err(to_err)?;
            Ok(Value::Date(date))
        }
        TypeSpecification::Time { .. } => {
            let time = value_str.parse::<TimeValue>().map_err(to_err)?;
            Ok(Value::Time(time))
        }
        TypeSpecification::Ratio { .. } => {
            parse_number_unit(value_str, type_spec).map_err(to_err)
        }
        TypeSpecification::NumberRange { .. }
        | TypeSpecification::MeasureRange { .. }
        | TypeSpecification::DateRange { .. }
        | TypeSpecification::TimeRange { .. }
        | TypeSpecification::RatioRange { .. } => {
            unreachable!("BUG: range types are parsed by parse_range_value_from_string")
        }
        TypeSpecification::Veto { .. } => Err(to_err(
            "Veto type cannot be parsed from string".to_string(),
        )),
        TypeSpecification::Undetermined => unreachable!(
            "BUG: parse_value_from_string called with Undetermined sentinel type; this type exists only during type inference"
        ),
        TypeSpecification::Spec { .. } => Err(to_err(
            "spec values are not evaluation-data scalars".to_string(),
        )),
        TypeSpecification::List { .. } => Err(to_err(
            "list values are not evaluation-data scalars".to_string(),
        )),
    }
}

// -----------------------------------------------------------------------------
// Semantic value types (no parser dependency - used by evaluation, inversion, etc.)
// -----------------------------------------------------------------------------

#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub enum SemanticCalendarUnit {
    Month,
    Year,
}

impl fmt::Display for SemanticCalendarUnit {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        let s = match self {
            SemanticCalendarUnit::Month => "month",
            SemanticCalendarUnit::Year => "year",
        };
        write!(f, "{}", s)
    }
}

pub fn semantic_calendar_unit_from_unit_name(unit_name: &str) -> SemanticCalendarUnit {
    match unit_name {
        "month" => SemanticCalendarUnit::Month,
        "year" => SemanticCalendarUnit::Year,
        other => unreachable!(
            "BUG: calendar measure signature unit must be month or year, got '{other}'"
        ),
    }
}

pub fn semantic_calendar_unit_from_measure_signature(
    signature: &[(String, i32)],
) -> SemanticCalendarUnit {
    let unit_name = signature
        .first()
        .map(|(name, _)| name.as_str())
        .expect("BUG: calendar measure must carry a unit signature");
    semantic_calendar_unit_from_unit_name(unit_name)
}

pub fn semantic_calendar_unit_from_measure_type(lemma_type: &LemmaType) -> SemanticCalendarUnit {
    if !lemma_type.is_calendar_like() {
        unreachable!(
            "BUG: semantic_calendar_unit_from_measure_type called on non-calendar type {}",
            lemma_type.name()
        );
    }
    let signature = lemma_type.measure_runtime_signature();
    if signature.is_empty() {
        return SemanticCalendarUnit::Month;
    }
    semantic_calendar_unit_from_measure_signature(&signature)
}

/// Target type for `as` casts (semantic; used by evaluation/computation).
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum SemanticConversionTarget {
    Type(ConversionTypeKind),
    /// `number as eur` — construct, convert, relabel, or range-span into `unit_name`.
    Unit {
        unit_name: String,
        /// Measure/ratio type resolved in the spec where the conversion was written.
        owning_type: Arc<LemmaType>,
    },
}

impl std::hash::Hash for SemanticConversionTarget {
    fn hash<H: std::hash::Hasher>(&self, state: &mut H) {
        match self {
            Self::Type(kind) => {
                0u8.hash(state);
                kind.hash(state);
            }
            Self::Unit {
                unit_name,
                owning_type,
            } => {
                1u8.hash(state);
                unit_name.hash(state);
                owning_type.hash(state);
            }
        }
    }
}

impl SemanticConversionTarget {}

impl fmt::Display for SemanticConversionTarget {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            SemanticConversionTarget::Type(kind) => write!(f, "{kind}"),
            SemanticConversionTarget::Unit { unit_name, .. } => write!(f, "{unit_name}"),
        }
    }
}

/// Timezone for semantic date/time values: UTC offset in signed whole minutes, same
/// representation and bounds as [`TimezoneValue`].
#[derive(Debug, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct SemanticTimezone {
    pub offset_minutes: i16,
}

impl SemanticTimezone {
    /// `None` when `seconds` is not a whole number of minutes within ±23:59.
    pub fn from_offset_seconds(seconds: i32) -> Option<Self> {
        TimezoneValue::from_offset_seconds(seconds).map(|tz| Self::from(&tz))
    }

    pub fn offset_seconds(&self) -> i32 {
        i32::from(self.offset_minutes) * 60
    }
}

impl From<&TimezoneValue> for SemanticTimezone {
    fn from(tz: &TimezoneValue) -> Self {
        Self {
            offset_minutes: tz.offset_minutes,
        }
    }
}

impl From<&SemanticTimezone> for TimezoneValue {
    fn from(tz: &SemanticTimezone) -> Self {
        Self {
            offset_minutes: tz.offset_minutes,
        }
    }
}

impl fmt::Display for SemanticTimezone {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        TimezoneValue::from(self).fmt(f)
    }
}

impl Serialize for SemanticTimezone {
    fn serialize<S: Serializer>(&self, serializer: S) -> Result<S::Ok, S::Error> {
        serializer.serialize_str(&self.to_string())
    }
}

impl<'de> Deserialize<'de> for SemanticTimezone {
    fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error> {
        let s = String::deserialize(deserializer)?;
        Self::from_str(&s).map_err(serde::de::Error::custom)
    }
}

impl FromStr for SemanticTimezone {
    type Err = String;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        Ok(Self::from(&TimezoneValue::from_str(s)?))
    }
}

/// Time-of-day for semantic values
#[derive(Debug, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct SemanticTime {
    pub hour: u32,
    pub minute: u32,
    pub second: u32,
    pub microsecond: u32,
    pub timezone: Option<SemanticTimezone>,
}

impl fmt::Display for SemanticTime {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{:02}:{:02}:{:02}", self.hour, self.minute, self.second)?;
        if self.microsecond != 0 {
            write!(f, ".{:06}", self.microsecond)?;
        }
        if let Some(timezone) = &self.timezone {
            write!(f, "{}", timezone)?;
        }
        Ok(())
    }
}

impl Serialize for SemanticTime {
    fn serialize<S: Serializer>(&self, serializer: S) -> Result<S::Ok, S::Error> {
        serializer.serialize_str(&self.to_string())
    }
}

impl<'de> Deserialize<'de> for SemanticTime {
    fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error> {
        let s = String::deserialize(deserializer)?;
        Self::from_str(&s).map_err(serde::de::Error::custom)
    }
}

impl FromStr for SemanticTime {
    type Err = String;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        Ok(time_to_semantic(&TimeValue::from_str(s)?))
    }
}

/// Date-time for semantic values
#[derive(Debug, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct SemanticDateTime {
    pub year: i32,
    pub month: u32,
    pub day: u32,
    pub hour: u32,
    pub minute: u32,
    pub second: u32,
    pub microsecond: u32,
    pub timezone: Option<SemanticTimezone>,
}

impl fmt::Display for SemanticDateTime {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        let has_time = self.hour != 0
            || self.minute != 0
            || self.second != 0
            || self.microsecond != 0
            || self.timezone.is_some();
        if !has_time {
            write!(f, "{:04}-{:02}-{:02}", self.year, self.month, self.day)
        } else {
            write!(
                f,
                "{:04}-{:02}-{:02}T{:02}:{:02}:{:02}",
                self.year, self.month, self.day, self.hour, self.minute, self.second
            )?;
            if self.microsecond != 0 {
                write!(f, ".{:06}", self.microsecond)?;
            }
            if let Some(tz) = &self.timezone {
                write!(f, "{}", tz)?;
            }
            Ok(())
        }
    }
}

impl Serialize for SemanticDateTime {
    fn serialize<S: Serializer>(&self, serializer: S) -> Result<S::Ok, S::Error> {
        serializer.serialize_str(&self.to_string())
    }
}

impl<'de> Deserialize<'de> for SemanticDateTime {
    fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error> {
        let s = String::deserialize(deserializer)?;
        Self::from_str(&s).map_err(serde::de::Error::custom)
    }
}

impl FromStr for SemanticDateTime {
    type Err = String;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        Ok(date_time_to_semantic(&DateTimeValue::from_str(s)?))
    }
}

/// Default captured during type constraint application, before measure unit factors are final.
/// Converted into [`ValueKind`] after `resolve_measure_decompositions` (or immediately for
/// reference-local defaults, which run after that pass).
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub enum RawSuggestion {
    Value(ValueKind),
    /// Measure suggest/fill: magnitude in the written unit (canonicalized later).
    Measure {
        magnitude: RationalInteger,
        unit_name: String,
    },
    /// Ratio (or other) suggest/fill that already holds a canonical [`ValueKind`]
    /// plus the written unit name for display binding.
    UnitBound {
        value: ValueKind,
        unit_name: String,
    },
    List(Vec<RawSuggestion>),
}

/// Canonical suggestion/fill value plus the written measure unit when one was declared.
///
/// `unit` is the unit from `-> suggest 100 inr` / `-> with 5 eur`; Show
/// display stamps it so the one-liner matches the written unit, not the type's first unit.
/// Shared via [`Arc`] so value-table clones bump a refcount instead of allocating.
/// For ranges this stays `None`; each endpoint carries its own unit on its type.
///
/// `instance_factors` are the settled dynamic unit factors of the instance this value
/// was read from (`uses` alias or list row). Same-family arithmetic keeps only factors
/// both sides agree on; a family change drops them.
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub struct BoundValueKind {
    pub value: ValueKind,
    pub unit: Option<Arc<str>>,
    pub instance_factors: Option<Arc<std::collections::BTreeMap<String, RationalInteger>>>,
}

impl BoundValueKind {
    pub fn unbound(value: ValueKind) -> Self {
        Self {
            value,
            unit: None,
            instance_factors: None,
        }
    }

    pub fn with_binding(value: ValueKind, unit: Option<Arc<str>>) -> Self {
        Self {
            value,
            unit,
            instance_factors: None,
        }
    }

    pub fn with_instance_factors(
        value: ValueKind,
        unit: Option<Arc<str>>,
        instance_factors: Option<Arc<std::collections::BTreeMap<String, RationalInteger>>>,
    ) -> Self {
        Self {
            value,
            unit,
            instance_factors,
        }
    }

    pub fn to_literal(&self) -> LiteralValue {
        LiteralValue {
            value: self.value.clone(),
        }
    }

    /// Written-unit agreement for ± on same-family measure/ratio: equal keep; one Some keep that;
    /// conflict → left wins.
    #[must_use]
    pub fn agree_or_left_binding(
        left: Option<&Arc<str>>,
        right: Option<&Arc<str>>,
    ) -> Option<Arc<str>> {
        match (left, right) {
            (Some(a), Some(b)) if a.as_ref() == b.as_ref() => Some(Arc::clone(a)),
            (Some(a), Some(_)) => Some(Arc::clone(a)),
            (Some(a), None) => Some(Arc::clone(a)),
            (None, Some(b)) => Some(Arc::clone(b)),
            (None, None) => None,
        }
    }

    /// Agreed instance factors for same-family arithmetic: units both sides carry with
    /// equal factors stay; either side missing a map means no carried instance agreement
    /// (local / plan-scoped values rely on runtime scales, not a one-sided carry).
    #[must_use]
    pub fn agree_instance_factors(
        left: Option<&Arc<std::collections::BTreeMap<String, RationalInteger>>>,
        right: Option<&Arc<std::collections::BTreeMap<String, RationalInteger>>>,
    ) -> Option<Arc<std::collections::BTreeMap<String, RationalInteger>>> {
        match (left, right) {
            (None, None) | (Some(_), None) | (None, Some(_)) => None,
            (Some(left), Some(right)) => {
                let mut agreed = std::collections::BTreeMap::new();
                for (unit, factor) in left.iter() {
                    if right.get(unit) == Some(factor) {
                        agreed.insert(unit.clone(), factor.clone());
                    }
                }
                if agreed.is_empty() {
                    None
                } else {
                    Some(Arc::new(agreed))
                }
            }
        }
    }

    /// Keep a written unit only when agreed instance factors still know its factor.
    /// When there is no instance map, leave the binding for plan-scoped runtime scales.
    #[must_use]
    pub fn binding_with_agreed_factors(
        unit: Option<Arc<str>>,
        factors: &Option<Arc<std::collections::BTreeMap<String, RationalInteger>>>,
    ) -> Option<Arc<str>> {
        match (unit, factors) {
            (Some(unit), Some(factors)) if factors.contains_key(unit.as_ref()) => Some(unit),
            (Some(_), Some(_)) => None,
            (unit, None) => unit,
            (None, _) => None,
        }
    }
}

pub fn bound_value_kind_from_raw_suggestion(
    raw: RawSuggestion,
    specifications: &TypeSpecification,
    type_name: &str,
) -> Result<BoundValueKind, String> {
    enum Step<'a> {
        Visit(RawSuggestion, &'a TypeSpecification),
        CollectList {
            element: &'a Arc<LemmaType>,
            rows: usize,
        },
    }

    let mut steps = vec![Step::Visit(raw, specifications)];
    let mut bounds: Vec<BoundValueKind> = Vec::new();
    while let Some(step) = steps.pop() {
        match step {
            Step::Visit(raw, specifications) => match raw {
                RawSuggestion::Value(vk) => bounds.push(BoundValueKind::unbound(vk)),
                RawSuggestion::UnitBound { value, unit_name } => bounds.push(BoundValueKind {
                    value,
                    unit: Some(Arc::from(unit_name)),
                    instance_factors: None,
                }),
                RawSuggestion::Measure {
                    magnitude,
                    unit_name,
                } => {
                    let TypeSpecification::Measure { units, .. } = specifications else {
                        unreachable!(
                            "BUG: RawSuggestion::Measure for non-measure type '{type_name}'"
                        );
                    };
                    if units
                        .get(&unit_name)
                        .is_ok_and(crate::literals::MeasureUnit::is_dynamic)
                    {
                        bounds.push(BoundValueKind {
                            value: ValueKind::UnscaledMeasure {
                                magnitude,
                                unit: Arc::from(unit_name.as_str()),
                            },
                            unit: Some(Arc::from(unit_name)),
                            instance_factors: None,
                        });
                    } else {
                        let canonical = measure_declared_bound_to_canonical(
                            &magnitude, &unit_name, units, type_name, "suggest",
                        )?;
                        bounds.push(BoundValueKind {
                            value: ValueKind::Measure(canonical),
                            unit: Some(Arc::from(unit_name)),
                            instance_factors: None,
                        });
                    }
                }
                RawSuggestion::List(rows) => {
                    let TypeSpecification::List { element, .. } = specifications else {
                        unreachable!("BUG: RawSuggestion::List for non-list type '{type_name}'");
                    };
                    steps.push(Step::CollectList {
                        element,
                        rows: rows.len(),
                    });
                    for row in rows.into_iter().rev() {
                        steps.push(Step::Visit(row, &element.specifications));
                    }
                }
            },
            Step::CollectList { element, rows } => {
                let start = bounds
                    .len()
                    .checked_sub(rows)
                    .expect("BUG: list rows missing from bound stack");
                let converted: Arc<[TypedLiteral]> = bounds
                    .split_off(start)
                    .iter()
                    .map(|bound| typed_literal_from_bound(bound, element))
                    .collect();
                bounds.push(BoundValueKind::unbound(ValueKind::List(converted.into())));
            }
        }
    }
    Ok(bounds.pop().expect("BUG: bound walk left no result"))
}

/// Display one-liner unit: `as` / schema > settled > fill > suggest > none (first declared).
///
/// Range schemas are skipped: endpoint units live on each endpoint type.
#[must_use]
pub fn display_binding_unit(
    schema: &LemmaType,
    settled: Option<&BoundValueKind>,
    fill: Option<&BoundValueKind>,
    suggestion: Option<&BoundValueKind>,
) -> Option<String> {
    if schema.is_measure_range() || schema.is_ratio_range() {
        return None;
    }
    if let Some(unit) = schema.unit() {
        return Some(unit.to_string());
    }
    if let Some(unit) = settled.and_then(|bound| bound.unit.as_ref()) {
        return Some(unit.to_string());
    }
    if let Some(unit) = fill.and_then(|bound| bound.unit.as_ref()) {
        return Some(unit.to_string());
    }
    suggestion
        .and_then(|bound| bound.unit.as_ref())
        .map(|unit| unit.to_string())
}

/// Schema type stamped with [`display_binding_unit`] when a binding wins.
///
/// Clones only when the winning unit differs from what `schema` already carries.
/// Range types are returned unchanged.
#[must_use]
pub fn lemma_type_with_display_binding(
    schema: &LemmaType,
    settled: Option<&BoundValueKind>,
    fill: Option<&BoundValueKind>,
    suggestion: Option<&BoundValueKind>,
) -> LemmaType {
    if schema.is_measure_range() || schema.is_ratio_range() {
        return schema.clone();
    }
    match display_binding_unit(schema, settled, fill, suggestion) {
        Some(unit) if schema.unit() != Some(unit.as_str()) => schema.clone().with_unit(unit),
        Some(_) | None => schema.clone(),
    }
}

/// Like [`lemma_type_with_display_binding`] but reuses `schema` when no override.
#[must_use]
pub fn lemma_type_arc_with_display_binding(
    schema: &Arc<LemmaType>,
    settled: Option<&BoundValueKind>,
    fill: Option<&BoundValueKind>,
    suggestion: Option<&BoundValueKind>,
) -> Arc<LemmaType> {
    if schema.is_measure_range() || schema.is_ratio_range() {
        return Arc::clone(schema);
    }
    match display_binding_unit(schema.as_ref(), settled, fill, suggestion) {
        Some(unit) if schema.unit() != Some(unit.as_str()) => {
            Arc::new(schema.as_ref().clone().with_unit(unit))
        }
        Some(_) | None => Arc::clone(schema),
    }
}

/// Build a [`TypedLiteral`] from an eval bound and the plan type for that cell.
///
/// Stamps `bound.unit` onto measure/ratio types. Range values already carry
/// typed endpoints inside [`ValueKind::Range`].
#[must_use]
pub fn typed_literal_from_bound(
    bound: &BoundValueKind,
    lemma_type: &Arc<LemmaType>,
) -> TypedLiteral {
    let lemma_type = match (&bound.unit, &lemma_type.specifications) {
        (Some(unit), TypeSpecification::Measure { .. } | TypeSpecification::Ratio { .. })
            if lemma_type.unit() != Some(unit.as_ref()) =>
        {
            Arc::new(lemma_type.as_ref().clone().with_unit(unit.as_ref()))
        }
        _ => Arc::clone(lemma_type),
    };
    TypedLiteral {
        value: bound.value.clone(),
        lemma_type,
    }
}

/// Value payload (shape of a literal).
///
/// Scalar variants are type-free: type lives on `NormalForm.result_type` /
/// `DataDefinition`. The [`ValueKind::Range`] arm is the exception — each
/// endpoint keeps a [`TypedLiteral`] so a mixed-unit range (`10 eur...20 usd`)
/// retains both written units.
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub enum ValueKind {
    Number(RationalInteger),
    /// Measure: magnitude in canonical (base-unit) space.
    ///
    /// At bind time the user-facing value is multiplied by the unit's scale to produce
    /// the stored magnitude; API unit maps divide back. Unit/signature identity
    /// comes from the node/`DataDefinition` type via [`LemmaType::measure_runtime_signature`].
    Measure(RationalInteger),
    /// Measure written in a reference-scaled unit. Lives only in stored values
    /// (literal leaves, data slots, definitions, bindings). A cell result never
    /// holds one: the owning leaf settles it to [`ValueKind::Measure`] first.
    UnscaledMeasure {
        magnitude: RationalInteger,
        unit: Arc<str>,
    },
    Text(Arc<str>),
    Date(SemanticDateTime),
    Time(SemanticTime),
    Boolean(bool),
    /// Ratio: canonical magnitude. Display unit comes from the node/`DataDefinition` type.
    Ratio(RationalInteger),
    /// Range endpoints carry their own type (and written unit for measure/ratio).
    Range(Box<TypedLiteral>, Box<TypedLiteral>),
    /// A spec instance: a `uses` path in the consumer plan, or one row of an instance list.
    Spec(SpecValue),
    /// Ordered rows of one type. Each row keeps its own type (written unit for measures).
    List(ListValue),
}

/// Items of a list value, with the key index of a keyed list that carries one.
/// Equality, hashing and serialization are over the items only.
#[derive(Debug, Clone)]
pub struct ListValue {
    items: ListItems,
    index: Option<Arc<crate::planning::instance_list::KeyIndex>>,
}

/// The rows of a store as one list reads them.
pub(crate) struct StoredRows<'l> {
    pub rows: &'l [Arc<RowInstance>],
    pub owner: Option<&'l InstanceKey>,
}

#[derive(Debug, Clone)]
enum ListItems {
    Values(Arc<[TypedLiteral]>),
    /// The rows of a store as one list reads them: each item is the row owned by
    /// `owner`, of type `row_type`.
    Rows {
        store: Arc<crate::planning::instance_list::RowStore>,
        owner: Option<InstanceKey>,
        row_type: Arc<LemmaType>,
    },
}

impl ListValue {
    /// A list holding `items`, without an index.
    fn held(items: Arc<[TypedLiteral]>) -> Self {
        Self {
            items: ListItems::Values(items),
            index: None,
        }
    }

    pub(crate) fn indexed(
        items: Arc<[TypedLiteral]>,
        index: Arc<crate::planning::instance_list::KeyIndex>,
    ) -> Self {
        Self {
            items: ListItems::Values(items),
            index: Some(index),
        }
    }

    /// The rows of `store` read by `owner`, indexed by the store's index.
    pub(crate) fn stored_rows(
        store: &Arc<crate::planning::instance_list::RowStore>,
        owner: Option<InstanceKey>,
        row_type: Arc<LemmaType>,
    ) -> Self {
        Self {
            index: store.index.clone(),
            items: ListItems::Rows {
                store: Arc::clone(store),
                owner,
                row_type,
            },
        }
    }

    pub fn len(&self) -> usize {
        match &self.items {
            ListItems::Values(items) => items.len(),
            ListItems::Rows { store, .. } => store.rows.len(),
        }
    }

    pub fn is_empty(&self) -> bool {
        self.len() == 0
    }

    pub fn get(&self, position: usize) -> Option<std::borrow::Cow<'_, TypedLiteral>> {
        match &self.items {
            ListItems::Values(items) => items.get(position).map(std::borrow::Cow::Borrowed),
            ListItems::Rows {
                store,
                owner,
                row_type,
            } => store.rows.get(position).map(|row| {
                std::borrow::Cow::Owned(TypedLiteral {
                    value: ValueKind::Spec(SpecValue::Row(InstanceKey::new(
                        Arc::clone(row),
                        owner.clone(),
                    ))),
                    lemma_type: Arc::clone(row_type),
                })
            }),
        }
    }

    pub fn first(&self) -> Option<std::borrow::Cow<'_, TypedLiteral>> {
        self.get(0)
    }

    pub fn last(&self) -> Option<std::borrow::Cow<'_, TypedLiteral>> {
        self.len().checked_sub(1).and_then(|last| self.get(last))
    }

    pub fn iter(
        &self,
    ) -> impl DoubleEndedIterator<Item = std::borrow::Cow<'_, TypedLiteral>> + ExactSizeIterator
    {
        (0..self.len()).map(|position| {
            self.get(position)
                .expect("BUG: list position below the list length")
        })
    }

    /// The items of a list that holds them: every list but one reading a row store.
    pub(crate) fn values(&self) -> &[TypedLiteral] {
        match &self.items {
            ListItems::Values(items) => items,
            ListItems::Rows { .. } => panic!("BUG: held items read from a list of stored rows"),
        }
    }

    /// The rows of the store this list reads, when it reads one.
    pub(crate) fn stored(&self) -> Option<StoredRows<'_>> {
        match &self.items {
            ListItems::Values(_) => None,
            ListItems::Rows { store, owner, .. } => Some(StoredRows {
                rows: &store.rows,
                owner: owner.as_ref(),
            }),
        }
    }

    /// The items as owned values.
    pub fn to_vec(&self) -> Vec<TypedLiteral> {
        self.iter().map(std::borrow::Cow::into_owned).collect()
    }

    pub(crate) fn index(&self) -> Option<&Arc<crate::planning::instance_list::KeyIndex>> {
        self.index.as_ref()
    }

    /// The same items without an index.
    pub(crate) fn unindexed(&self) -> Self {
        Self {
            items: self.items.clone(),
            index: None,
        }
    }

    /// The same items with `index`.
    pub(crate) fn with_index(&self, index: Arc<crate::planning::instance_list::KeyIndex>) -> Self {
        Self {
            items: self.items.clone(),
            index: Some(index),
        }
    }
}

impl From<Arc<[TypedLiteral]>> for ListValue {
    fn from(items: Arc<[TypedLiteral]>) -> Self {
        Self::held(items)
    }
}

impl From<Vec<TypedLiteral>> for ListValue {
    fn from(items: Vec<TypedLiteral>) -> Self {
        Self::held(Arc::from(items))
    }
}

impl FromIterator<TypedLiteral> for ListValue {
    fn from_iter<I: IntoIterator<Item = TypedLiteral>>(iter: I) -> Self {
        Self::held(iter.into_iter().collect())
    }
}

impl PartialEq for ListValue {
    fn eq(&self, other: &Self) -> bool {
        self.len() == other.len() && self.iter().eq(other.iter())
    }
}

impl Eq for ListValue {}

impl Hash for ListValue {
    fn hash<H: std::hash::Hasher>(&self, state: &mut H) {
        self.len().hash(state);
        for item in self.iter() {
            item.hash(state);
        }
    }
}

impl ValueKind {
    /// Decimal magnitude for numeric variants (number, measure, ratio).
    pub fn as_decimal_magnitude(&self) -> Result<Decimal, String> {
        match self {
            ValueKind::Number(n) | ValueKind::Measure(n) | ValueKind::Ratio(n) => {
                n.try_to_decimal().map_err(|failure| failure.to_string())
            }
            other => Err(format!("expected numeric value kind, got {other}")),
        }
    }

    /// Cheap structural byte-size estimate (no formatting, no rational→decimal).
    ///
    /// Used by resource-limit checks where the exact string length is not
    /// required — only an upper-bound within a constant factor.
    pub fn structural_byte_size(&self) -> usize {
        fn rational_byte_estimate(r: &RationalInteger) -> usize {
            let numer_bytes = (r.numer_magnitude_bits() as usize).div_ceil(8);
            let denom_bytes = (r.denom_magnitude_bits() as usize).div_ceil(8);
            numer_bytes.max(1) + denom_bytes.max(1)
        }
        match self {
            ValueKind::Number(r) => rational_byte_estimate(r),
            ValueKind::Measure(r) => rational_byte_estimate(r),
            ValueKind::UnscaledMeasure { magnitude, unit } => {
                rational_byte_estimate(magnitude) + unit.len()
            }
            ValueKind::Ratio(r) => rational_byte_estimate(r),
            ValueKind::Text(s) => s.len(),
            ValueKind::Date(_) => 30, // "2026-01-01T00:00:00+02:00" upper bound
            ValueKind::Time(_) => 12, // "23:59:59" upper bound
            ValueKind::Boolean(_) => 5, // "false"
            ValueKind::Range(left, right) => {
                left.value.structural_byte_size() + 3 + right.value.structural_byte_size()
            }
            ValueKind::Spec(SpecValue::Fixed(instance)) => instance.structural_byte_size(),
            ValueKind::Spec(SpecValue::Row(InstanceKey { row, .. })) => row.structural_byte_size(),
            ValueKind::List(rows) => rows
                .iter()
                .map(|row| row.value.structural_byte_size())
                .sum(),
        }
    }

    /// Whether this stored value still contains a reference-scaled measure.
    #[must_use]
    pub fn has_unscaled_measure(&self) -> bool {
        match self {
            ValueKind::UnscaledMeasure { .. } => true,
            ValueKind::Range(left, right) => match (&left.value, &right.value) {
                (ValueKind::UnscaledMeasure { .. }, _) | (_, ValueKind::UnscaledMeasure { .. }) => {
                    true
                }
                (ValueKind::Range(_, _) | ValueKind::List(_), _)
                | (_, ValueKind::Range(_, _) | ValueKind::List(_)) => unscaled_in_value_tree(self),
                _ => false,
            },
            ValueKind::List(_) => unscaled_in_value_tree(self),
            _ => false,
        }
    }
}

fn unscaled_in_value_tree(root: &ValueKind) -> bool {
    let mut pending = vec![root];
    while let Some(value) = pending.pop() {
        match value {
            ValueKind::UnscaledMeasure { .. } => return true,
            ValueKind::Range(left, right) => {
                pending.push(&right.value);
                pending.push(&left.value);
            }
            ValueKind::List(rows) => {
                if rows.stored().is_none() {
                    for item in rows.values().iter() {
                        pending.push(&item.value);
                    }
                }
            }
            _ => {}
        }
    }
    false
}

fn format_rational_magnitude_for_display(rational: &RationalInteger) -> String {
    rational.display_str()
}

fn format_number_with_unit_for_display(rational: &RationalInteger, unit: &str) -> String {
    use crate::parsing::ast::Value;
    match rational.try_to_decimal() {
        Ok(decimal) => format!("{}", Value::NumberWithUnit(decimal, unit.to_string())),
        Err(_) => format!("{} {}", rational.display_str(), unit),
    }
}

impl fmt::Display for ValueKind {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            ValueKind::Number(rational) => {
                write!(f, "{}", format_rational_magnitude_for_display(rational))
            }
            ValueKind::Measure(rational) => {
                write!(f, "{}", format_rational_magnitude_for_display(rational))
            }
            ValueKind::UnscaledMeasure { magnitude, unit } => {
                write!(
                    f,
                    "{} {unit}",
                    format_rational_magnitude_for_display(magnitude)
                )
            }
            ValueKind::Text(s) => {
                write!(f, "{}", crate::parsing::ast::Value::Text(s.to_string()))
            }
            ValueKind::Ratio(rational) => {
                write!(f, "{}", format_rational_magnitude_for_display(rational))
            }
            ValueKind::Date(dt) => write!(f, "{}", dt),
            ValueKind::Time(t) => write!(
                f,
                "{}",
                crate::parsing::ast::Value::Time(crate::parsing::ast::TimeValue {
                    hour: t.hour as u8,
                    minute: t.minute as u8,
                    second: t.second as u8,
                    microsecond: t.microsecond,
                    timezone: t
                        .timezone
                        .as_ref()
                        .map(crate::parsing::ast::TimezoneValue::from),
                })
            ),
            ValueKind::Boolean(b) => write!(f, "{}", b),
            ValueKind::Range(left, right) => write!(f, "{}...{}", left, right),
            ValueKind::Spec(value) => write!(f, "{value}"),
            ValueKind::List(rows) => {
                write!(f, "list[")?;
                for (i, row) in rows.iter().enumerate() {
                    if i > 0 {
                        write!(f, ", ")?;
                    }
                    write!(f, "{row}")?;
                }
                write!(f, "]")
            }
        }
    }
}

// -----------------------------------------------------------------------------
// Resolved path types (moved from parsing::ast)
// -----------------------------------------------------------------------------

/// A single segment in a resolved path traversal
///
/// Used in both DataPath and RulePath for cross-spec traversal. Each segment is
/// one spec instance of the consumer plan: a `uses` import (`uses`, `row: None`)
/// or row `row` of the instance list `uses` written in the spec (`row: Some(n)`,
/// 1-based). `repository` is the resolved target repository name (`None` = unnamed
/// workspace) and `spec` the resolved target spec name.
#[derive(Debug, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct PathSegment {
    /// The `uses` alias, or the instance list name when `row` is set.
    pub uses: Arc<str>,
    /// Row number (1-based) of list `uses` when this hop is a row written in the spec.
    pub row: Option<usize>,
    /// Target repository name from `Arc<LemmaRepository>.name` at resolve.
    /// `None` is the unnamed workspace.
    pub repository: Option<Arc<str>>,
    /// The spec this hop resolves to (resolved during planning)
    pub spec: Arc<str>,
}

impl PathSegment {
    /// `uses` import hop of `identity` named `alias`.
    pub(crate) fn import(alias: &str, identity: &SpecIdentity) -> Self {
        Self {
            uses: Arc::from(alias),
            row: None,
            repository: identity.repository.as_deref().map(Arc::from),
            spec: Arc::from(identity.spec.as_str()),
        }
    }

    /// Hop of row `number` (1-based) of instance list whose name and identity strings
    /// are already shared as `Arc<str>`: every row of one list reuses the same three
    /// allocations, so building a row's hop is refcount bumps, not fresh allocations.
    pub(crate) fn list_row_shared(
        list: &Arc<str>,
        number: usize,
        spec: &Arc<str>,
        repository: Option<&Arc<str>>,
    ) -> Self {
        Self {
            uses: Arc::clone(list),
            row: Some(number),
            repository: repository.map(Arc::clone),
            spec: Arc::clone(spec),
        }
    }

    /// Dotted input-key form of this hop: `ada`, or `staff.2` for a row.
    pub fn input_key(&self) -> String {
        match self.row {
            Some(number) => format!("{}.{number}", self.uses),
            None => self.uses.to_string(),
        }
    }
}

/// The hops that name a spec instance, relative to the plan holding it: `uses` hops
/// (`rack.low`), or a list hop with its row number (`staff.2`).
#[derive(Debug, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct SpecInstance {
    pub prefix: Vec<PathSegment>,
}

impl SpecInstance {
    pub fn structural_byte_size(&self) -> usize {
        self.prefix
            .iter()
            .map(|segment| {
                segment.uses.len()
                    + segment.spec.len()
                    + segment.repository.as_deref().map_or(0, str::len)
                    + segment.row.map_or(0, |_| std::mem::size_of::<usize>())
            })
            .sum()
    }
}

impl fmt::Display for SpecInstance {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        for (index, segment) in self.prefix.iter().enumerate() {
            if index > 0 {
                write!(f, ".")?;
            }
            write!(f, "{}", segment.input_key())?;
        }
        Ok(())
    }
}

/// Value of a spec-typed expression.
///
/// `Row` is a row instance as read (see [`InstanceKey`]); a `uses` import is the row of
/// its alias, read by the instance that declares it. Evaluation produces only `Row`.
/// `Fixed` is a spec instance named by its hops, rebuilt from a [`SpecResult`] by
/// [`RuleResultValue::to_literal`].
///
/// [`SpecResult`]: crate::result_value::SpecResult
/// [`RuleResultValue::to_literal`]: crate::result_value::RuleResultValue::to_literal
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub enum SpecValue {
    Fixed(SpecInstance),
    Row(InstanceKey),
}

impl fmt::Display for SpecValue {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            SpecValue::Fixed(instance) => write!(f, "{instance}"),
            SpecValue::Row(key) => write!(f, "{key}"),
        }
    }
}

/// One row as read in an evaluation request, and the identity of its context: the row
/// `Arc` and the owning instance whose context read it (`None` for the root scope).
/// The bindings of the row resolve in the owner's context.
#[derive(Debug, Clone)]
pub struct InstanceKey {
    pub row: Arc<RowInstance>,
    pub owner: Option<Box<InstanceKey>>,
}

impl InstanceKey {
    pub fn new(row: Arc<RowInstance>, owner: Option<InstanceKey>) -> Self {
        Self {
            row,
            owner: owner.map(Box::new),
        }
    }

    pub fn owner(&self) -> Option<&InstanceKey> {
        self.owner.as_deref()
    }

    /// The context a binding written `hops` instances above this row resolves in:
    /// the owner for `0`, the owner's owner for `1`, and so on.
    pub(crate) fn scope(&self, hops: u32) -> Option<&InstanceKey> {
        let mut scope = self.owner();
        for _ in 0..hops {
            scope = scope
                .expect("BUG: a binding hops above the root scope")
                .owner();
        }
        scope
    }

    /// This key read inside `owner`: its outermost row, owned by the root scope here,
    /// is owned by `owner` instead.
    pub(crate) fn under(&self, owner: &InstanceKey) -> InstanceKey {
        let mut rows: Vec<&Arc<RowInstance>> = Vec::new();
        let mut key = Some(self);
        while let Some(current) = key {
            rows.push(&current.row);
            key = current.owner();
        }
        let mut rebased = owner.clone();
        for row in rows.into_iter().rev() {
            rebased = InstanceKey::new(Arc::clone(row), Some(rebased));
        }
        rebased
    }

    /// Origins naming this instance, innermost first, up to the first that is absolute.
    fn naming_origins(&self) -> Vec<&RowOrigin> {
        let mut origins = Vec::new();
        let mut key = Some(self);
        while let Some(current) = key {
            origins.push(&current.row.origin);
            if matches!(current.row.origin, RowOrigin::Numbered { .. }) {
                break;
            }
            key = current.owner();
        }
        origins
    }

    /// Data path of this instance in the run data that wrote its nearest run-data row
    /// (`i`, `i.staff.2`, `items.2.j`; `lines.1.i` for a row of a run-data row's list);
    /// `None` when it is or sits under an inline row, which has no path.
    pub fn path(&self) -> Option<String> {
        let origins = self.naming_origins();
        if origins.iter().any(|origin| origin.is_inline()) {
            return None;
        }
        Some(
            origins
                .iter()
                .rev()
                .map(ToString::to_string)
                .collect::<Vec<_>>()
                .join("."),
        )
    }

    /// This instance named from `row`, one of its owners (`holder.items.1`); `None` when
    /// `row` does not hold it.
    pub(crate) fn label_under(&self, row: &InstanceKey) -> Option<String> {
        let mut below: Vec<&RowOrigin> = Vec::new();
        let mut key = self;
        while key != row {
            below.push(&key.row.origin);
            key = key.owner()?;
        }
        Some(
            below
                .iter()
                .rev()
                .map(ToString::to_string)
                .collect::<Vec<_>>()
                .join("."),
        )
    }

    /// The rows-table row this instance publishes under: itself or the nearest owner that
    /// is a run-data or appended row. With the label of this instance: its path, or under
    /// an appended row its path from that row (`item`).
    pub(crate) fn table_row(&self) -> (&InstanceKey, Option<String>) {
        let mut key = self;
        loop {
            match &key.row.origin {
                RowOrigin::Numbered { .. } => return (key, self.path()),
                RowOrigin::Inline { .. } if key == self => return (key, None),
                RowOrigin::Inline { .. } => return (key, self.label_under(key)),
                RowOrigin::Import { .. } | RowOrigin::Written { .. } => {
                    key = key
                        .owner()
                        .expect("BUG: an instance off the rows table published as a table row");
                }
            }
        }
    }

    /// Evaluation-data key of field `key` of this instance from the request's plan;
    /// `None` when it has no path.
    pub(crate) fn field_key(&self, key: &str) -> Option<String> {
        self.request_path().map(|path| format!("{path}.{key}"))
    }

    /// [`Self::path`] from the request's plan: a run-data row of a run-data row's list
    /// is named under that row (`shipments.1.lines.1.i`).
    fn request_path(&self) -> Option<String> {
        let origins = self.naming_origins();
        if origins.iter().any(|origin| origin.is_inline()) {
            return None;
        }
        Some(
            origins
                .iter()
                .rev()
                .map(|origin| match origin {
                    RowOrigin::Numbered {
                        under: Some(under), ..
                    } => format!("{under}.{origin}"),
                    origin => origin.to_string(),
                })
                .collect::<Vec<_>>()
                .join("."),
        )
    }

    /// Hops naming this instance from the root plan, when every hop is a `uses` import or a
    /// row written in a spec.
    pub(crate) fn segments(&self) -> Option<Vec<PathSegment>> {
        let mut parts: Vec<Vec<PathSegment>> = Vec::new();
        let mut key = Some(self);
        while let Some(current) = key {
            match &current.row.origin {
                RowOrigin::Import { alias } => {
                    parts.push(vec![PathSegment::import(alias, &current.row.identity)])
                }
                RowOrigin::Written { instance, .. } => parts.push(instance.prefix.clone()),
                RowOrigin::Numbered { .. } | RowOrigin::Inline { .. } => return None,
            }
            key = current.owner();
        }
        Some(parts.into_iter().rev().flatten().collect())
    }

    /// Hops of the `uses` imports this instance is reached through from the nearest row
    /// (or the root) above it, outermost first: empty for a row itself.
    pub(crate) fn import_hops(&self) -> Vec<PathSegment> {
        let mut hops = Vec::new();
        let mut key = Some(self);
        while let Some(current) = key {
            let RowOrigin::Import { alias } = &current.row.origin else {
                break;
            };
            hops.push(PathSegment::import(alias, &current.row.identity));
            key = current.owner();
        }
        hops.reverse();
        hops
    }

    /// Whether this instance and every owner above it is a `uses` import or a row written
    /// in a spec.
    pub(crate) fn is_planned(&self) -> bool {
        let mut key = Some(self);
        while let Some(current) = key {
            if !matches!(
                current.row.origin,
                RowOrigin::Import { .. } | RowOrigin::Written { .. }
            ) {
                return false;
            }
            key = current.owner();
        }
        true
    }
}

impl fmt::Display for InstanceKey {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        for (index, origin) in self.naming_origins().iter().rev().enumerate() {
            if index > 0 {
                write!(f, ".")?;
            }
            write!(f, "{origin}")?;
        }
        Ok(())
    }
}

impl PartialEq for InstanceKey {
    fn eq(&self, other: &Self) -> bool {
        Arc::ptr_eq(&self.row, &other.row) && self.owner == other.owner
    }
}

impl Eq for InstanceKey {}

impl std::hash::Hash for InstanceKey {
    fn hash<H: std::hash::Hasher>(&self, state: &mut H) {
        (Arc::as_ptr(&self.row) as usize).hash(state);
        self.owner.hash(state);
    }
}

/// A field of a [`RowInstance`].
///
/// `hops` on a reference or rows binding names the context it was written in: `0` is the
/// instance that holds the row (the row key's owner), `1` the one above it, and so on.
/// A consumer writing `-> with j.x: v` on `uses i` writes `x` of `i`'s nested `j` row
/// one hop above the instance (`i`) that holds `j`.
#[derive(Debug, Clone)]
pub enum RowBinding {
    Bound(OperationResult),
    /// Sealed spec-written reference. Not yet forced: resolution happens when a read of
    /// the row touches the field, so lists holding rule-bound rows can be read
    /// (`-> count`) without evaluating rules the read never reaches.
    Deferred {
        target: ReferenceTarget,
        hops: u32,
    },
    /// Rows of a list field written with the row (`-> with ada` copying a `uses`
    /// instance whose list field is bound). Read as a list whose rows are owned by
    /// the context `hops` names.
    Rows {
        rows: Vec<Arc<RowInstance>>,
        row_type: Arc<LemmaType>,
        hops: u32,
    },
    /// A nested `uses` slot whose fields a consumer wrote (`-> with j.x: v`): the nested
    /// import row with those fields bound. Read as that row owned by the holding instance.
    Instance(Arc<RowInstance>),
}

impl RowBinding {
    /// Whether this binding is `other` copied: the same value, target, or rows.
    pub(crate) fn is_copy_of(&self, other: &RowBinding) -> bool {
        match (self, other) {
            (RowBinding::Bound(a), RowBinding::Bound(b)) => a == b,
            (
                RowBinding::Deferred { target, hops },
                RowBinding::Deferred {
                    target: other_target,
                    hops: other_hops,
                },
            ) => target == other_target && hops == other_hops,
            (
                RowBinding::Rows { rows, hops, .. },
                RowBinding::Rows {
                    rows: other_rows,
                    hops: other_hops,
                    ..
                },
            ) => {
                hops == other_hops
                    && rows.len() == other_rows.len()
                    && rows
                        .iter()
                        .zip(other_rows)
                        .all(|(row, other)| Arc::ptr_eq(row, other))
            }
            (RowBinding::Instance(row), RowBinding::Instance(other)) => Arc::ptr_eq(row, other),
            _ => false,
        }
    }

    /// Value of a [`Self::Rows`] binding whose rows are owned by `owner`.
    pub(crate) fn rows_value(
        rows: &[Arc<RowInstance>],
        row_type: &Arc<LemmaType>,
        owner: Option<&InstanceKey>,
    ) -> OperationResult {
        OperationResult::from_literal(LiteralValue {
            value: ValueKind::List(
                rows.iter()
                    .map(|row| TypedLiteral {
                        value: ValueKind::Spec(SpecValue::Row(InstanceKey::new(
                            Arc::clone(row),
                            owner.cloned(),
                        ))),
                        lemma_type: Arc::clone(row_type),
                    })
                    .collect(),
            ),
        })
    }
}

/// A row instance: its spec, where it came from, and its bound fields.
///
/// `bindings` are positional over the row spec's template plan `data` slots (`index = template.data.get_index_of`).
/// A slot that is `None` reads the template's own default or is missing.
#[derive(Debug, Clone)]
pub struct RowInstance {
    pub identity: Arc<SpecIdentity>,
    pub origin: RowOrigin,
    pub bindings: Box<[Option<RowBinding>]>,
}

impl RowInstance {
    pub fn get_binding(
        &self,
        template: &crate::planning::execution_plan::ExecutionPlan,
        path: &DataPath,
    ) -> Option<&RowBinding> {
        let index = template.data.get_index_of(path)?;
        self.bindings.get(index)?.as_ref()
    }

    /// Upper-bound byte size of the row's bound fields; see [`ValueKind::structural_byte_size`].
    pub fn structural_byte_size(&self) -> usize {
        let mut size = 0;
        let mut pending: Vec<&RowInstance> = vec![self];
        while let Some(row) = pending.pop() {
            for binding in row.bindings.iter().flatten() {
                match binding {
                    RowBinding::Bound(OperationResult::Value(bound)) => {
                        size += bound.value.structural_byte_size();
                    }
                    RowBinding::Rows { rows, .. } => pending.extend(rows.iter().map(Arc::as_ref)),
                    RowBinding::Instance(row) => pending.push(row),
                    RowBinding::Bound(OperationResult::Veto(_)) | RowBinding::Deferred { .. } => {}
                }
            }
        }
        size
    }
}

/// Where a row instance came from. Names missing fields and explanations.
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub enum RowOrigin {
    /// Row `number` (1-based) of list `list`: a run-data row. `under` is the
    /// evaluation-data key of the run-data row whose list it is (`items.1`); `None` for
    /// a list of the request's plan.
    Numbered {
        list: String,
        number: usize,
        under: Option<Arc<str>>,
    },
    /// A row written in the spec at `source`, read through the row spec's template
    /// plan. The instance names it relative to the plan holding its list (`staff.2`).
    Written {
        instance: SpecInstance,
        source: Source,
    },
    /// The row of `uses alias`, named relative to the plan declaring it.
    Import { alias: Arc<str> },
    /// Row written inline by the `-> with field: value` command at cell `node`, as row
    /// `position` (1-based) of its result. Its written fields are values of the plan
    /// that holds the command and are read as that plan planned them; the row spec's
    /// rules run over them in the row's context. Every field a read names is set:
    /// planning rejects reads of unset fields.
    Inline { node: NormalFormId, position: usize },
}

/// 1-based numbered origin of a list row (`items.2`).
#[must_use]
pub fn numbered_row_origin(list_key: &str, number: usize) -> String {
    format!("{list_key}.{number}")
}

/// Input key of a field of a numbered list row (`items.2.weight`).
#[must_use]
pub fn row_field_input_key(list_key: &str, number: usize, field_key: &str) -> String {
    format!("{}.{field_key}", numbered_row_origin(list_key, number))
}

impl RowOrigin {
    /// Row number (1-based) of a list row, and whether it was appended inline.
    pub(crate) fn list_position(&self) -> (usize, bool) {
        match self {
            RowOrigin::Numbered { number, .. } => (*number, false),
            RowOrigin::Written { instance, .. } => (
                instance
                    .prefix
                    .last()
                    .and_then(|last| last.row)
                    .expect("BUG: written row origin without a row hop"),
                false,
            ),
            RowOrigin::Inline { position, .. } => (*position, true),
            RowOrigin::Import { alias } => {
                unreachable!("BUG: the row of `uses {alias}` is not a list row")
            }
        }
    }

    pub(crate) fn is_inline(&self) -> bool {
        matches!(self, RowOrigin::Inline { .. })
    }
}

impl fmt::Display for RowOrigin {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            RowOrigin::Numbered { list, number, .. } => {
                write!(f, "{}", numbered_row_origin(list, *number))
            }
            RowOrigin::Written { instance, .. } => write!(f, "{instance}"),
            RowOrigin::Import { alias } => write!(f, "{alias}"),
            RowOrigin::Inline { position, .. } => write!(f, "appended row {position}"),
        }
    }
}

/// One evaluated instance-list row as a typed literal.
#[must_use]
pub fn row_literal(
    identity: Arc<SpecIdentity>,
    origin: RowOrigin,
    bindings: Vec<Option<RowBinding>>,
    lemma_type: Arc<LemmaType>,
) -> TypedLiteral {
    TypedLiteral {
        value: ValueKind::Spec(SpecValue::Row(InstanceKey::new(
            Arc::new(RowInstance {
                identity,
                origin,
                bindings: bindings.into(),
            }),
            None,
        ))),
        lemma_type,
    }
}

/// Field of a row read through the row spec's template plan.
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
pub enum RowEnd {
    Data(DataPath),
    Rule(RulePath),
}

impl fmt::Display for RowEnd {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            RowEnd::Data(path) => write!(f, "{}", path.input_key()),
            RowEnd::Rule(path) => write!(f, "{}", path.input_key()),
        }
    }
}

/// Resolved path to a data (created during planning from AST DataReference)
///
/// Represents a fully resolved path through specs to reach a datum.
#[derive(Debug, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct DataPath {
    /// Path segments (each is a cross-spec step)
    pub segments: Vec<PathSegment>,
    /// Final data name
    pub data: String,
}

impl DataPath {
    /// Create a data path from segments and data name (matches AST DataReference shape)
    pub fn new(segments: Vec<PathSegment>, data: String) -> Self {
        Self { segments, data }
    }

    /// Create a local data path (no cross-spec steps)
    pub fn local(data: String) -> Self {
        Self {
            segments: vec![],
            data,
        }
    }

    /// Dot-separated key used for matching user-provided data values (e.g. `"order.payment_method"`,
    /// `"staff.2.salary"`). Same string as [`Display`]: hops only, no repository or spec names.
    pub fn input_key(&self) -> String {
        let mut s = String::new();
        for segment in &self.segments {
            s.push_str(&segment.input_key());
            s.push('.');
        }
        s.push_str(&self.data);
        s
    }
}

/// Resolved path to a rule (created during planning from a rule reference).
///
/// Represents a fully resolved path through specs to reach a rule.
#[derive(Debug, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub struct RulePath {
    /// Path segments (each is a cross-spec step)
    pub segments: Vec<PathSegment>,
    /// Final rule name
    pub rule: String,
}

impl RulePath {
    /// Create a rule path from segments and rule name.
    pub fn new(segments: Vec<PathSegment>, rule: String) -> Self {
        Self { segments, rule }
    }

    /// Dot-separated key for Show/run (`alias.rule`), twin of [`DataPath::input_key`].
    /// Same string as [`Display`]: alias hops only, no repository or spec names.
    pub fn input_key(&self) -> String {
        if self.segments.is_empty() {
            return self.rule.clone();
        }
        let mut s = String::new();
        for segment in &self.segments {
            s.push_str(&segment.input_key());
            s.push('.');
        }
        s.push_str(&self.rule);
        s
    }
}

// -----------------------------------------------------------------------------
// Resolved expression types (created during planning)
// -----------------------------------------------------------------------------

/// Resolved expression (all references resolved to paths, all literals typed)
///
/// Created during planning from AST Expression. All unresolved references
/// are converted to DataPath/RulePath, and all literals are typed.
/// Resolved expression tree (all references resolved to paths, all literals typed).
///
/// Nodes live in a flat table and reference children by [`ExprId`]. Created during
/// planning from the AST; all unresolved references are converted to DataPath/RulePath.
pub type Expression = ExprTree<ExpressionKind>;

/// Resolved expression kind (only resolved variants, no unresolved references)
#[derive(Debug, Clone, PartialEq)]
pub enum ExpressionKind {
    /// Resolved literal with type (boxed to keep enum small)
    Literal(Box<TypedLiteral>),
    /// Resolved data path
    DataPath(DataPath),
    /// Resolved rule path
    RulePath(RulePath),
    Logical {
        connective: LogicalConnective,
        first: ExprId,
        steps: Vec<ChainStep<()>>,
    },
    /// Left fold of `first` over `steps`; every step's operator has one precedence level.
    Arithmetic {
        first: ExprId,
        steps: Vec<ChainStep<ArithmeticComputation>>,
    },
    Comparison(ExprId, ComparisonComputation, ExprId),
    UnitConversion(ExprId, SemanticConversionTarget),
    LogicalNegation(ExprId, NegationType),
    MathematicalComputation(MathematicalComputation, ExprId),
    /// `operand -> round` or `operand -> round step`.
    StepRounding {
        operand: ExprId,
        mode: RoundingMode,
        step: Option<ExprId>,
    },
    Veto(VetoExpression),
    /// The `now` keyword — resolved at evaluation to the effective datetime.
    Now,
    /// Date-relative sugar: `<date_expr> in past` / `in future`
    DateRelative(DateRelativeKind, ExprId),
    /// Calendar-period sugar: `<date_expr> in [past|future] calendar year|month|week`
    DateCalendar(DateCalendarKind, CalendarPeriodUnit, ExprId),
    RangeLiteral(ExprId, ExprId),
    PastFutureRange(DateRelativeKind, ExprId),
    RangeContainment(ExprId, ExprId),
    /// Ordered endpoint of a range (`lower` included, `upper` excluded).
    RangeBound(RangeBound, ExprId),
    /// Whether evaluating the operand produced a veto (no value). Parses as `is veto` syntax.
    ResultIsVeto(ExprId),
    /// Field of a spec value: `top_bracket.tax`, `top_bracket.finance.fee`, or
    /// `(staff -> first).bonus`.
    ///
    /// Every instance the base yields is a row of its spec, so the field is read through
    /// that spec's template plan. A `uses` alias base is its import slot.
    SpecMember {
        base: ExprId,
        path: Vec<String>,
        name: String,
    },
    /// Field of the current row of the list command at `level` (0 = outermost).
    ///
    /// `end` is the field on the row spec's own plan: every row reads it through its
    /// row template.
    RowField {
        level: u32,
        identity: SpecIdentity,
        end: RowEnd,
        /// Written list qualifier (`children` in `children.is_leaf`), when the
        /// source used a qualified row-field reference. `None` for bare unambiguous refs.
        qualifier: Option<Vec<String>>,
    },
    /// Current value row. `list` is a type-only reference to the earlier list expression.
    RowValue {
        level: u32,
        list: ExprId,
    },
    /// Unless structure: (condition, result) pairs in source order; last true condition wins.
    /// First arm is the default (condition is always-true literal).
    Piecewise(Vec<(ExprId, ExprId)>),
    /// `row_level` is set when arguments read the current list row at that
    /// level, through [`Self::RowValue`] or [`Self::RowField`].
    ListCommand {
        list: ExprId,
        op: ListOp,
        row_level: Option<u32>,
    },
}

/// Planned postfix list command.
#[derive(Debug, Clone, PartialEq)]
pub enum ListOp {
    Find {
        keys: Vec<ExprId>,
    },
    First,
    Last,
    Count,
    Reduce {
        kind: ListReduce,
        argument: Option<ExprId>,
    },
    Predicate {
        kind: ListPredKind,
        form: crate::parsing::ast::ListPredicateForm,
        expr: ExprId,
    },
    Sort {
        descending: bool,
        argument: Option<ExprId>,
    },
    Top {
        n: ExprId,
    },
    With {
        rows: Vec<ExprId>,
    },
    /// Append one row of spec `identity`; each field is a row-spec data path and its value.
    WithRow {
        identity: SpecIdentity,
        fields: Vec<(DataPath, ExprId)>,
    },
    /// Declare field key(s) on a Spec-element list; lives on the list type, eval no-op.
    Key {
        fields: Vec<DataPath>,
    },
}

#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub enum ListReduce {
    Sum,
    Avg,
    Product,
    Min,
    Max,
}

impl ListReduce {
    pub fn keyword(self) -> &'static str {
        match self {
            ListReduce::Sum => "sum",
            ListReduce::Avg => "avg",
            ListReduce::Product => "product",
            ListReduce::Min => "min",
            ListReduce::Max => "max",
        }
    }
}

#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub enum ListPredKind {
    Any,
    All,
    Where,
}

impl ListPredKind {
    pub fn keyword(self) -> &'static str {
        match self {
            ListPredKind::Any => "any",
            ListPredKind::All => "all",
            ListPredKind::Where => "where",
        }
    }
}

impl ExprKind for ExpressionKind {
    fn for_each_child(&self, mut f: impl FnMut(ExprId)) {
        match self {
            ExpressionKind::Literal(_)
            | ExpressionKind::DataPath(_)
            | ExpressionKind::RulePath(_)
            | ExpressionKind::Veto(_)
            | ExpressionKind::Now
            | ExpressionKind::RowField { .. }
            | ExpressionKind::RowValue { .. } => {}
            ExpressionKind::Logical { first, steps, .. } => {
                f(*first);
                steps.iter().for_each(|step| f(step.operand));
            }
            ExpressionKind::Arithmetic { first, steps } => {
                f(*first);
                steps.iter().for_each(|step| f(step.operand));
            }
            ExpressionKind::Comparison(left, _, right)
            | ExpressionKind::RangeLiteral(left, right)
            | ExpressionKind::RangeContainment(left, right) => {
                f(*left);
                f(*right);
            }
            ExpressionKind::StepRounding { operand, step, .. } => {
                f(*operand);
                if let Some(step) = step {
                    f(*step);
                }
            }
            ExpressionKind::UnitConversion(inner, _)
            | ExpressionKind::LogicalNegation(inner, _)
            | ExpressionKind::MathematicalComputation(_, inner)
            | ExpressionKind::DateRelative(_, inner)
            | ExpressionKind::DateCalendar(_, _, inner)
            | ExpressionKind::PastFutureRange(_, inner)
            | ExpressionKind::RangeBound(_, inner)
            | ExpressionKind::ResultIsVeto(inner)
            | ExpressionKind::SpecMember { base: inner, .. } => f(*inner),
            ExpressionKind::Piecewise(arms) => arms.iter().for_each(|(condition, result)| {
                f(*condition);
                f(*result);
            }),
            ExpressionKind::ListCommand { list, op, .. } => {
                f(*list);
                op.for_each_child(f);
            }
        }
    }

    fn children_mut(&mut self) -> Vec<&mut ExprId> {
        match self {
            ExpressionKind::Literal(_)
            | ExpressionKind::DataPath(_)
            | ExpressionKind::RulePath(_)
            | ExpressionKind::Veto(_)
            | ExpressionKind::Now
            | ExpressionKind::RowField { .. }
            | ExpressionKind::RowValue { .. } => Vec::new(),
            ExpressionKind::Logical { first, steps, .. } => std::iter::once(first)
                .chain(steps.iter_mut().map(|step| &mut step.operand))
                .collect(),
            ExpressionKind::Arithmetic { first, steps } => std::iter::once(first)
                .chain(steps.iter_mut().map(|step| &mut step.operand))
                .collect(),
            ExpressionKind::Comparison(left, _, right)
            | ExpressionKind::RangeLiteral(left, right)
            | ExpressionKind::RangeContainment(left, right) => vec![left, right],
            ExpressionKind::StepRounding { operand, step, .. } => {
                let mut children = vec![operand];
                if let Some(step) = step {
                    children.push(step);
                }
                children
            }
            ExpressionKind::UnitConversion(inner, _)
            | ExpressionKind::LogicalNegation(inner, _)
            | ExpressionKind::MathematicalComputation(_, inner)
            | ExpressionKind::DateRelative(_, inner)
            | ExpressionKind::DateCalendar(_, _, inner)
            | ExpressionKind::PastFutureRange(_, inner)
            | ExpressionKind::RangeBound(_, inner)
            | ExpressionKind::ResultIsVeto(inner) => vec![inner],
            ExpressionKind::SpecMember { base, .. } => vec![base],
            ExpressionKind::Piecewise(arms) => arms
                .iter_mut()
                .flat_map(|(condition, result)| [condition, result])
                .collect(),
            ExpressionKind::ListCommand { list, op, .. } => {
                let mut children = vec![list];
                children.extend(op.children_mut());
                children
            }
        }
    }
}

impl ListOp {
    fn for_each_child(&self, mut f: impl FnMut(ExprId)) {
        match self {
            ListOp::First | ListOp::Last | ListOp::Count | ListOp::Key { .. } => {}
            ListOp::Find { keys } => keys.iter().copied().for_each(f),
            ListOp::Reduce { argument, .. } | ListOp::Sort { argument, .. } => {
                argument.iter().copied().for_each(f)
            }
            ListOp::Predicate { expr, .. } => f(*expr),
            ListOp::Top { n } => f(*n),
            ListOp::With { rows } => rows.iter().copied().for_each(f),
            ListOp::WithRow { fields, .. } => fields.iter().for_each(|(_, value)| f(*value)),
        }
    }

    fn children_mut(&mut self) -> Vec<&mut ExprId> {
        match self {
            ListOp::First | ListOp::Last | ListOp::Count | ListOp::Key { .. } => Vec::new(),
            ListOp::Find { keys } => keys.iter_mut().collect(),
            ListOp::Reduce { argument, .. } | ListOp::Sort { argument, .. } => {
                argument.iter_mut().collect()
            }
            ListOp::Predicate { expr, .. } => vec![expr],
            ListOp::Top { n } => vec![n],
            ListOp::With { rows } => rows.iter_mut().collect(),
            ListOp::WithRow { fields, .. } => fields.iter_mut().map(|(_, value)| value).collect(),
        }
    }
}

// -----------------------------------------------------------------------------
// Resolved types and values
// -----------------------------------------------------------------------------

/// Where the custom extension chain is rooted: same spec as this type, or imported from another resolved spec.
#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub enum TypeDefiningSpec {
    /// Parent type is defined in the same spec as this type.
    Local,
    /// Parent type was resolved from types loaded from another spec.
    Import,
}

/// Root of a custom type's extension chain: the spec version that declares the root type,
/// and its name. Types share a unit family only when they share this root declaration;
/// a local `money` and an imported `pricing.money` are different families. Two versions
/// of `pricing` declare different `pricing <date>.money` families; values from different
/// versions do not mix. Interface drift across unpinned versions compares structure with
/// [`LemmaType::same_interface`], which ignores the family's effective date.
#[derive(Clone, Debug, PartialEq, Eq, PartialOrd, Ord, Hash, Serialize)]
pub struct TypeFamily {
    pub repository: Option<String>,
    pub spec: String,
    pub effective: crate::parsing::ast::EffectiveDate,
    pub name: String,
}

impl TypeFamily {
    #[must_use]
    pub(crate) fn declared_in(spec: &SpecVersionKey, name: &str) -> Self {
        Self {
            repository: spec.repository.clone(),
            spec: spec.spec.clone(),
            effective: spec.effective.clone(),
            name: name.to_string(),
        }
    }

    /// Whether `spec` (this exact version) declares this family's root.
    #[must_use]
    pub(crate) fn is_declared_in(&self, spec: &SpecVersionKey) -> bool {
        self.repository == spec.repository
            && self.spec == spec.spec
            && self.effective == spec.effective
    }

    /// Family identity with the version erased (interface comparisons only).
    #[must_use]
    pub fn without_effective(&self) -> Self {
        Self {
            repository: self.repository.clone(),
            spec: self.spec.clone(),
            effective: crate::parsing::ast::EffectiveDate::Origin,
            name: self.name.clone(),
        }
    }
}

/// `[<repo> ]<spec>[ <date>].<type>`: the root type named with its declaring spec version.
impl fmt::Display for TypeFamily {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        if let Some(repository) = &self.repository {
            write!(f, "{repository} ")?;
        }
        write!(f, "{}", self.spec)?;
        if let crate::parsing::ast::EffectiveDate::DateTimeValue(at) = &self.effective {
            write!(f, " {at}")?;
        }
        write!(f, ".{}", self.name)
    }
}

/// What this type extends (primitive built-in or custom type by name).
#[derive(Clone, Debug)]
pub enum TypeExtends {
    /// Extends a primitive built-in type (number, boolean, text, etc.)
    Primitive,
    /// Extends a custom type: parent is the immediate parent type name; family is the root of the extension chain.
    /// `defining_spec` records whether the parent chain is local or imported from another spec.
    Custom {
        parent: String,
        family: TypeFamily,
        defining_spec: TypeDefiningSpec,
    },
}

impl PartialEq for TypeExtends {
    fn eq(&self, other: &Self) -> bool {
        match (self, other) {
            (TypeExtends::Primitive, TypeExtends::Primitive) => true,
            (
                TypeExtends::Custom {
                    parent: lp,
                    family: lf,
                    defining_spec: ld,
                },
                TypeExtends::Custom {
                    parent: rp,
                    family: rf,
                    defining_spec: rd,
                },
            ) => lp == rp && lf == rf && ld == rd,
            _ => false,
        }
    }
}

impl Eq for TypeExtends {}

impl std::hash::Hash for TypeExtends {
    fn hash<H: std::hash::Hasher>(&self, state: &mut H) {
        match self {
            TypeExtends::Primitive => {
                0u8.hash(state);
            }
            TypeExtends::Custom {
                parent,
                family,
                defining_spec,
            } => {
                1u8.hash(state);
                parent.hash(state);
                family.hash(state);
                defining_spec.hash(state);
            }
        }
    }
}

impl TypeExtends {
    /// Custom extension in the same spec as the defining type (no cross-spec import for the parent chain).
    #[must_use]
    pub fn custom_local(parent: String, family: TypeFamily) -> Self {
        TypeExtends::Custom {
            parent,
            family,
            defining_spec: TypeDefiningSpec::Local,
        }
    }

    /// Returns the parent type name if this type extends a custom type.
    #[must_use]
    pub fn parent_name(&self) -> Option<&str> {
        match self {
            TypeExtends::Primitive => None,
            TypeExtends::Custom { parent, .. } => Some(parent.as_str()),
        }
    }

    #[must_use]
    fn with_families_without_effective(&self) -> Self {
        match self {
            TypeExtends::Primitive => TypeExtends::Primitive,
            TypeExtends::Custom {
                parent,
                family,
                defining_spec,
            } => TypeExtends::Custom {
                parent: parent.clone(),
                family: family.without_effective(),
                defining_spec: defining_spec.clone(),
            },
        }
    }
}

/// Resolved type after planning
///
/// Contains a type specification and optional name. Created during planning
/// from TypeSpecification in the AST.
#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub struct LemmaType {
    /// Optional type name (e.g., "age", "temperature")
    pub name: Option<String>,
    /// The type specification (Boolean, Number, Measure, etc.).
    pub specifications: TypeSpecification,
    /// What this type extends (primitive or custom from a spec)
    pub extends: TypeExtends,
    pub(crate) options: TypeOptions,
}

impl LemmaType {
    /// Functional update of the `Measure` payload (units + decomposition).
    /// Non-Measure variants pass through unchanged. The transform receives the owned
    /// units and decomposition and returns the replacements.
    pub fn map_measure<F>(self, f: F) -> Self
    where
        F: FnOnce(
            MeasureUnits,
            Option<BaseMeasureVector>,
        ) -> (MeasureUnits, Option<BaseMeasureVector>),
    {
        let LemmaType {
            name,
            specifications,
            extends,
            options,
        } = self;
        let specifications = match specifications {
            TypeSpecification::Measure {
                minimum,
                maximum,
                units,
                traits,
                decomposition,
                unit,
                help,
            } => {
                let (units, decomposition) = f(units, decomposition);
                TypeSpecification::Measure {
                    minimum,
                    maximum,
                    units,
                    traits,
                    decomposition,
                    unit,
                    help,
                }
            }
            other => other,
        };
        LemmaType {
            name,
            specifications,
            extends,
            options,
        }
    }

    /// Create a new type with a name
    pub fn new(name: String, specifications: TypeSpecification, extends: TypeExtends) -> Self {
        Self {
            name: Some(name),
            specifications,
            extends,
            options: TypeOptions::default(),
        }
    }

    /// Create a type without a name (anonymous/inline type)
    pub fn without_name(specifications: TypeSpecification, extends: TypeExtends) -> Self {
        Self {
            name: None,
            specifications,
            extends,
            options: TypeOptions::default(),
        }
    }

    /// Create a primitive type (no name, extends Primitive)
    pub fn primitive(specifications: TypeSpecification) -> Self {
        Self {
            name: None,
            specifications,
            extends: TypeExtends::Primitive,
            options: TypeOptions::default(),
        }
    }

    /// Apply one data command that does not need the surrounding spec.
    /// `-> option`, `-> options`, and a spec `-> with` / `-> suggest` are applied
    /// by the caller, which already holds the spec.
    pub fn apply_constraint(
        &mut self,
        names: ConstraintNames<'_>,
        command: TypeConstraintCommand,
        args: &[CommandArg],
        declared_suggestion: &mut Option<RawSuggestion>,
        declared_value: &mut Option<RawSuggestion>,
        resolve_unit: Option<&UnitTokenResolver<'_>>,
    ) -> Result<(), String> {
        self.specifications.apply_constraint(
            names,
            command,
            args,
            declared_suggestion,
            declared_value,
            resolve_unit,
        )
    }

    /// Value is outside an inline option set. A rule is checked at evaluation, with the static rows.
    ///
    /// When the option set contains unscaled (dynamic-unit) values and `runtime_scales` is
    /// absent, membership is deferred to the evaluation walk (`Ok`).
    pub(crate) fn reject_disallowed(
        &self,
        value: &ValueKind,
        runtime_scales: Option<
            &std::collections::HashMap<String, crate::computation::rational::RationalInteger>,
        >,
    ) -> Result<(), String> {
        let options = self.options_for_check();
        if options.rule.is_some() || options.values.is_empty() {
            return Ok(());
        }
        if options_have_unscaled_measure(&options) {
            let Some(scales) = runtime_scales else {
                return Ok(());
            };
            return if static_option_match_with_scales(&options, value, scales)? {
                Ok(())
            } else {
                Err(disallowed_message(self, &options, value, None))
            };
        }
        if static_option_match(&options, value) {
            return Ok(());
        }
        Err(disallowed_message(self, &options, value, None))
    }

    /// Rule whose list is added to the allowed set, on this type or on a list's element.
    #[must_use]
    pub fn options_rule(&self) -> Option<&str> {
        if let Some(name) = &self.options.rule {
            return Some(name.as_str());
        }
        if let TypeSpecification::List { element, .. } = &self.specifications {
            if let Some(name) = &element.options.rule {
                return Some(name.as_str());
            }
        }
        None
    }

    /// Inline option literals that still need a runtime scale before membership.
    #[must_use]
    pub(crate) fn has_unscaled_options(&self) -> bool {
        options_have_unscaled_measure(&self.options_for_check())
    }

    /// Evaluation re-checks a named options rule, or a static set that includes
    /// dynamic-unit (unscaled) option literals.
    #[must_use]
    pub(crate) fn needs_runtime_option_check(&self) -> bool {
        self.options_rule().is_some() || self.has_unscaled_options()
    }

    /// Static option displays. A rule that adds rows on a run is not included.
    #[must_use]
    pub fn static_options(&self) -> Vec<String> {
        let options = self.options_for_check();
        options
            .values
            .iter()
            .map(|option| self.display_bound(&option.value))
            .collect()
    }

    /// Inline `-> option` values on this type (and a list's element, when both carry options).
    /// A named `-> options` rule is not enumerated.
    #[must_use]
    pub fn inline_option_values(&self) -> Vec<BoundValueKind> {
        self.options_for_check()
            .values
            .iter()
            .map(|option| option.value.clone())
            .collect()
    }

    pub(crate) fn display_bound(&self, bound: &BoundValueKind) -> String {
        typed_literal_from_bound(bound, &Arc::new(self.clone())).display_value()
    }

    /// Borrow the set that applies. Clone only when a list and its element both carry options.
    pub(crate) fn options_for_check(&self) -> std::borrow::Cow<'_, TypeOptions> {
        match &self.specifications {
            TypeSpecification::List { element, .. }
                if !self.options.is_empty() && !element.options.is_empty() =>
            {
                let mut options = self.options.clone();
                options
                    .values
                    .extend(element.options.values.iter().cloned());
                if options.rule.is_none() {
                    options.rule.clone_from(&element.options.rule);
                }
                std::borrow::Cow::Owned(options)
            }
            TypeSpecification::List { element, .. } if !element.options.is_empty() => {
                std::borrow::Cow::Borrowed(&element.options)
            }
            _ => std::borrow::Cow::Borrowed(&self.options),
        }
    }

    /// `None` when `value` is in the static set or in `rule_rows`.
    ///
    /// When the static set has unscaled options and `runtime_scales` is absent, returns
    /// `None` so the caller can defer. When scales are present, settles before matching.
    /// Settle failure returns `Some(message)`.
    pub(crate) fn explain_disallowed(
        &self,
        value: &ValueKind,
        rule_rows: Option<&ListValue>,
        runtime_scales: Option<
            &std::collections::HashMap<String, crate::computation::rational::RationalInteger>,
        >,
    ) -> Option<String> {
        let options = self.options_for_check();
        let needs_scales = options_have_unscaled_measure(&options)
            || rule_rows
                .is_some_and(|rows| rows.iter().any(|row| row.value.has_unscaled_measure()))
            || value.has_unscaled_measure();
        if needs_scales && runtime_scales.is_none() {
            return None;
        }
        let allowed = |candidate: &ValueKind| -> Result<bool, String> {
            if let Some(scales) = runtime_scales {
                if options_have_unscaled_measure(&options) {
                    if static_option_match_with_scales(&options, candidate, scales)? {
                        return Ok(true);
                    }
                } else if static_option_match(&options, candidate) {
                    return Ok(true);
                }
                if let Some(rows) = rule_rows {
                    let settled_candidate = settle_value_kind_with_scales(candidate, scales)?;
                    for option in rows.iter() {
                        let settled_option = settle_value_kind_with_scales(&option.value, scales)?;
                        if option_values_match(&settled_option, &settled_candidate) {
                            return Ok(true);
                        }
                    }
                    return Ok(false);
                }
                return Ok(options.is_empty());
            }
            if static_option_match(&options, candidate) {
                return Ok(true);
            }
            if let Some(rows) = rule_rows {
                return Ok(rows
                    .iter()
                    .any(|option| option_values_match(&option.value, candidate)));
            }
            Ok(options.is_empty())
        };
        match (&self.specifications, value) {
            (TypeSpecification::List { .. }, ValueKind::List(rows)) => {
                for row in rows.iter() {
                    match allowed(&row.value) {
                        Ok(true) => {}
                        Ok(false) => {
                            return Some(disallowed_message(self, &options, &row.value, rule_rows));
                        }
                        Err(message) => return Some(message),
                    }
                }
                None
            }
            _ => match allowed(value) {
                Ok(true) => None,
                Ok(false) => Some(disallowed_message(self, &options, value, rule_rows)),
                Err(message) => Some(message),
            },
        }
    }

    /// Prefer `unit_name` for [`measure_runtime_signature`] (bind / signature-index hit).
    ///
    /// Writes `unit` onto `Measure` or `Ratio` specifications. Any other variant panics.
    #[must_use]
    pub fn with_unit(mut self, unit_name: impl Into<String>) -> Self {
        let unit_name = unit_name.into();
        match &mut self.specifications {
            TypeSpecification::Measure { unit, .. } | TypeSpecification::Ratio { unit, .. } => {
                *unit = Some(unit_name);
            }
            other => panic!(
                "BUG: with_unit called on non-measure/non-ratio type {}",
                other
            ),
        }
        self
    }

    /// Prefix dynamic scale references on `lemma_type` with the `uses` hops from
    /// import `base_alias` through nested import names along `member_path`.
    /// `nested_import` returns the identity of the import slot named `segment` on
    /// the template of the current identity, or `None` when that hop is not an import.
    #[must_use]
    pub(crate) fn reanchor_through_import_path(
        lemma_type: Arc<LemmaType>,
        base_alias: &str,
        base_identity: &SpecIdentity,
        member_path: &[String],
        mut nested_import: impl FnMut(&SpecIdentity, &str) -> Option<SpecIdentity>,
    ) -> Arc<LemmaType> {
        let mut hops = vec![PathSegment::import(base_alias, base_identity)];
        let mut identity = base_identity.clone();
        for segment in member_path {
            let Some(next) = nested_import(&identity, segment) else {
                break;
            };
            hops.push(PathSegment::import(segment, &next));
            identity = next;
        }
        let mut out = lemma_type.as_ref().clone();
        for hop in hops.into_iter().rev() {
            out = out.with_scale_import_hop(&hop);
        }
        Arc::new(out)
    }

    /// Clone with `segment` prefixed onto every dynamic unit scale reference: the
    /// `uses` alias hop a type crossed when it entered another spec. The declaring
    /// spec's coordinates stay on the type of the declaring spec itself; this clone
    /// is the importing spec's instance view of the same type.
    #[must_use]
    pub(crate) fn with_scale_import_hop(&self, segment: &PathSegment) -> Self {
        fn prefix_units(units: &mut MeasureUnits, segment: &PathSegment) {
            for unit in units.0.iter_mut() {
                if let crate::literals::UnitScale::Reference { target, .. } = &mut unit.scale {
                    match target {
                        ReferenceTarget::Data(path) => path.segments.insert(0, segment.clone()),
                        ReferenceTarget::Rule(rule) => rule.segments.insert(0, segment.clone()),
                    }
                }
            }
        }
        fn prefix_specifications(specifications: &mut TypeSpecification, segment: &PathSegment) {
            match specifications {
                TypeSpecification::Measure { units, .. }
                | TypeSpecification::MeasureRange { units, .. } => {
                    prefix_units(units, segment);
                }
                TypeSpecification::List { element, .. } => {
                    let prefixed = element.with_scale_import_hop(segment);
                    *element = Arc::new(prefixed);
                }
                _ => {}
            }
        }
        let mut out = self.clone();
        prefix_specifications(&mut out.specifications, segment);
        out
    }

    /// Scale target of `unit_name` when that unit is reference-scaled on this type.
    /// The target is in the coordinates of the spec that holds this type Arc
    /// (`uses` hops are already prefixed).
    #[must_use]
    pub(crate) fn unit_scale_target(&self, unit_name: &str) -> Option<&ReferenceTarget> {
        self.measure_units_table()
            .and_then(|units| units.get(unit_name).ok())
            .and_then(MeasureUnit::resolved_scale_target)
    }

    /// Every reference-scaled unit on this measure type, in declaration order.
    #[must_use]
    pub(crate) fn dynamic_scale_targets(&self) -> Vec<ReferenceTarget> {
        let Some(units) = self.measure_units_table() else {
            return Vec::new();
        };
        units
            .iter()
            .filter_map(|unit| unit.resolved_scale_target().cloned())
            .collect()
    }

    /// Written unit on a measure or ratio specification, if any.
    #[must_use]
    pub fn unit(&self) -> Option<&str> {
        match &self.specifications {
            TypeSpecification::Measure { unit, .. } | TypeSpecification::Ratio { unit, .. } => {
                unit.as_deref()
            }
            _ => None,
        }
    }

    /// Get the type name, or a default based on the type specification
    pub fn name(&self) -> String {
        self.name
            .clone()
            .unwrap_or_else(|| self.specifications.to_string())
    }

    /// Check if this type is boolean
    pub fn is_boolean(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Boolean { .. })
    }

    pub fn matches_primitive_kind(&self, kind: PrimitiveKind) -> bool {
        matches!(
            (kind, &self.specifications),
            (PrimitiveKind::Number, TypeSpecification::Number { .. })
                | (PrimitiveKind::Text, TypeSpecification::Text { .. })
                | (PrimitiveKind::Boolean, TypeSpecification::Boolean { .. })
                | (PrimitiveKind::Date, TypeSpecification::Date { .. })
                | (PrimitiveKind::Time, TypeSpecification::Time { .. })
                | (PrimitiveKind::Ratio, TypeSpecification::Ratio { .. })
                | (PrimitiveKind::Measure, TypeSpecification::Measure { .. })
        )
    }

    /// Check if this type is measure
    pub fn is_measure(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Measure { .. })
    }

    pub fn is_measure_range(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::MeasureRange { .. })
    }

    /// Check if this type is number (dimensionless)
    pub fn is_number(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Number { .. })
    }

    pub fn is_number_range(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::NumberRange { .. })
    }

    /// Check if this type is numeric (either measure or number)
    pub fn is_numeric(&self) -> bool {
        matches!(
            &self.specifications,
            TypeSpecification::Measure { .. } | TypeSpecification::Number { .. }
        )
    }

    /// Check if this type is text
    pub fn is_text(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Text { .. })
    }

    /// Check if this type is date
    pub fn is_date(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Date { .. })
    }

    pub fn is_date_range(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::DateRange { .. })
    }

    pub fn is_time_range(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::TimeRange { .. })
    }

    /// Check if this type is time
    pub fn is_time(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Time { .. })
    }

    pub fn has_trait_duration(&self) -> bool {
        match &self.specifications {
            TypeSpecification::Measure { traits, .. } => traits.contains(&MeasureTrait::Duration),
            _ => false,
        }
    }

    pub fn is_duration_like_measure(&self) -> bool {
        if !self.is_measure() {
            return false;
        }
        if self.has_trait_duration() {
            return true;
        }
        self.is_anonymous_measure()
            && self
                .measure_type_decomposition()
                .is_some_and(|d| *d == duration_decomposition())
    }

    pub fn is_duration_like(&self) -> bool {
        self.is_duration_like_measure()
    }

    pub fn has_trait_calendar(&self) -> bool {
        match &self.specifications {
            TypeSpecification::Measure { traits, .. } => traits.contains(&MeasureTrait::Calendar),
            _ => false,
        }
    }

    pub fn is_calendar_like_measure(&self) -> bool {
        if !self.is_measure() {
            return false;
        }
        if self.has_trait_calendar() {
            return true;
        }
        self.is_anonymous_measure()
            && self
                .measure_type_decomposition()
                .is_some_and(|d| *d == calendar_decomposition())
    }

    pub fn is_calendar_like(&self) -> bool {
        self.is_calendar_like_measure()
    }

    /// Check if this type is ratio
    pub fn is_ratio(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Ratio { .. })
    }

    pub fn is_ratio_range(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::RatioRange { .. })
    }

    pub fn is_calendar_measure_range(&self) -> bool {
        matches!(
            &self.specifications,
            TypeSpecification::MeasureRange { decomposition: Some(decomposition), .. }
                if *decomposition == calendar_decomposition()
        )
    }

    pub fn is_calendar_like_range(&self) -> bool {
        self.is_calendar_measure_range()
    }

    pub fn is_range(&self) -> bool {
        matches!(
            &self.specifications,
            TypeSpecification::DateRange { .. }
                | TypeSpecification::TimeRange { .. }
                | TypeSpecification::NumberRange { .. }
                | TypeSpecification::MeasureRange { .. }
                | TypeSpecification::RatioRange { .. }
        )
    }

    /// Check if this type is a spec instance.
    pub fn is_spec(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Spec { .. })
    }

    pub fn is_list(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::List { .. })
    }

    pub fn list_element_spec(&self) -> Option<&TypeSpecification> {
        match &self.specifications {
            TypeSpecification::List { element, .. } => Some(&element.specifications),
            _ => None,
        }
    }

    pub fn list_of(element: Arc<LemmaType>) -> Self {
        Self {
            name: Some(format!("{} list", element.name())),
            specifications: TypeSpecification::List {
                element,
                key: ListKey::Numbered,
                help: String::new(),
            },
            extends: TypeExtends::Primitive,
            options: TypeOptions::default(),
        }
    }

    /// Element type of a list type (`money` for `money list`).
    pub fn list_element_lemma_type(&self) -> &Arc<LemmaType> {
        let TypeSpecification::List { element, .. } = &self.specifications else {
            panic!(
                "BUG: list_element_lemma_type on non-list type {}",
                self.name()
            );
        };
        element
    }

    /// Spec identity when this type is a spec instance.
    #[must_use]
    pub fn spec_identity(&self) -> Option<&SpecIdentity> {
        match &self.specifications {
            TypeSpecification::Spec { spec } => Some(spec),
            _ => None,
        }
    }

    /// Check if this type is veto
    pub fn vetoed(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Veto { .. })
    }

    /// True if this type is the undetermined sentinel (type could not be inferred).
    pub fn is_undetermined(&self) -> bool {
        matches!(&self.specifications, TypeSpecification::Undetermined)
    }

    /// Check if two types have the same base type specification (ignoring constraints)
    pub fn has_same_base_type(&self, other: &LemmaType) -> bool {
        use TypeSpecification::*;
        matches!(
            (&self.specifications, &other.specifications),
            (Boolean { .. }, Boolean { .. })
                | (Number { .. }, Number { .. })
                | (NumberRange { .. }, NumberRange { .. })
                | (Measure { .. }, Measure { .. })
                | (MeasureRange { .. }, MeasureRange { .. })
                | (Text { .. }, Text { .. })
                | (Date { .. }, Date { .. })
                | (DateRange { .. }, DateRange { .. })
                | (Time { .. }, Time { .. })
                | (TimeRange { .. }, TimeRange { .. })
                | (Ratio { .. }, Ratio { .. })
                | (RatioRange { .. }, RatioRange { .. })
                | (Veto { .. }, Veto { .. })
                | (Undetermined, Undetermined)
                | (Spec { .. }, Spec { .. })
                | (List { .. }, List { .. })
        )
    }

    /// Root of the custom extension chain; `None` for primitive and anonymous types.
    #[must_use]
    pub fn family(&self) -> Option<&TypeFamily> {
        match &self.extends {
            TypeExtends::Custom { family, .. } => Some(family),
            TypeExtends::Primitive => None,
        }
    }

    /// Element type of a measure or ratio range. Keeps the range's [`TypeExtends`]
    /// (and thus its [`TypeFamily`]). Name is the family's root name when the
    /// range extends a named type; otherwise the range's own name.
    #[must_use]
    pub fn range_element_type(&self) -> Arc<LemmaType> {
        let element_spec = self
            .specifications
            .element_from_range()
            .expect("BUG: range_element_type requires a range specification");
        let name = match &self.extends {
            TypeExtends::Custom { family, .. } => Some(family.name.clone()),
            TypeExtends::Primitive => self.name.clone(),
        };
        Arc::new(LemmaType {
            name,
            specifications: element_spec,
            extends: self.extends.clone(),
            options: TypeOptions::default(),
        })
    }

    /// Unit family of a measure or measure-range type.
    #[must_use]
    pub fn measure_family(&self) -> Option<&TypeFamily> {
        (self.is_measure() || self.is_measure_range())
            .then(|| self.family())
            .flatten()
    }

    /// Type of the values this type holds: itself, or its (nested) list element.
    #[must_use]
    pub(crate) fn held_value_type(&self) -> &LemmaType {
        let mut current = self;
        while current.is_list() {
            current = current.list_element_lemma_type().as_ref();
        }
        current
    }

    /// Measure family of the values this type holds: its own, or its list element's.
    #[must_use]
    pub(crate) fn held_measure_family(&self) -> Option<&TypeFamily> {
        self.held_value_type().measure_family()
    }

    /// Unit family of a ratio or ratio-range type.
    #[must_use]
    pub fn ratio_family(&self) -> Option<&TypeFamily> {
        (self.is_ratio() || self.is_ratio_range())
            .then(|| self.family())
            .flatten()
    }

    /// Unit family of a measure or ratio type.
    #[must_use]
    pub(crate) fn unit_family(&self) -> Option<&TypeFamily> {
        self.measure_family().or_else(|| self.ratio_family())
    }

    /// Root type name of [`Self::measure_family`], for display.
    #[must_use]
    pub fn measure_family_name(&self) -> Option<&str> {
        self.measure_family().map(|family| family.name.as_str())
    }

    /// Root type name of [`Self::ratio_family`], for display.
    #[must_use]
    pub fn ratio_family_name(&self) -> Option<&str> {
        self.ratio_family().map(|family| family.name.as_str())
    }

    /// Same base kind and, for measures / measure ranges, the same named family:
    /// the relation under which two types describe the same values. Names and
    /// constraints may differ. Ratio and RatioRange stay base-kind only.
    #[must_use]
    pub(crate) fn same_value_type(&self, other: &LemmaType) -> bool {
        if !self.has_same_base_type(other) {
            return false;
        }
        if self.is_measure() {
            return match (self.measure_family(), other.measure_family()) {
                (Some(_), Some(_)) => self.same_measure_family(other),
                (None, None) => {
                    self.measure_type_decomposition() == other.measure_type_decomposition()
                }
                _ => false,
            };
        }
        if let (
            TypeSpecification::Spec { spec: self_spec },
            TypeSpecification::Spec { spec: other_spec },
        ) = (&self.specifications, &other.specifications)
        {
            return self_spec == other_spec;
        }
        if let (
            TypeSpecification::List {
                element: self_element,
                key: self_key,
                ..
            },
            TypeSpecification::List {
                element: other_element,
                key: other_key,
                ..
            },
        ) = (&self.specifications, &other.specifications)
        {
            return self_key == other_key && self_element.same_value_type(other_element);
        }
        if self.is_measure_range() {
            match (self.family(), other.family()) {
                (Some(self_family), Some(other_family)) => self_family == other_family,
                (None, None) => {
                    let self_element = self
                        .specifications
                        .element_from_range()
                        .expect("BUG: MeasureRange always defines element_from_range");
                    let other_element = other
                        .specifications
                        .element_from_range()
                        .expect("BUG: MeasureRange always defines element_from_range");
                    match (&self_element, &other_element) {
                        (
                            TypeSpecification::Measure {
                                decomposition: self_decomp,
                                ..
                            },
                            TypeSpecification::Measure {
                                decomposition: other_decomp,
                                ..
                            },
                        ) => self_decomp == other_decomp,
                        _ => unreachable!("BUG: element_from_range of MeasureRange yields Measure"),
                    }
                }
                _ => false,
            }
        } else {
            true
        }
    }

    /// Drop a written unit so a path/reference expression type does not claim
    /// the stored value named that unit. Literals and `as <unit>` results keep
    /// units via [`Self::with_unit`].
    #[must_use]
    pub(crate) fn without_written_unit(&self) -> Self {
        let mut cleared = self.clone();
        match &mut cleared.specifications {
            TypeSpecification::Measure { unit, .. } | TypeSpecification::Ratio { unit, .. } => {
                *unit = None;
            }
            _ => {}
        }
        cleared
    }

    /// Clear slot bounds, help, and written unit so a computed/generalized type
    /// does not carry either operand's constraints.
    #[must_use]
    pub(crate) fn without_slot_bounds(&self) -> Self {
        let mut cleared = self.without_written_unit();
        match &mut cleared.specifications {
            TypeSpecification::Measure {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::Ratio {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::Number {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::Date {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::Time {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::MeasureRange {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::DateRange {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::TimeRange {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::NumberRange {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::RatioRange {
                minimum,
                maximum,
                help,
                ..
            } => {
                *minimum = None;
                *maximum = None;
                *help = String::new();
            }
            TypeSpecification::Boolean { help, .. } | TypeSpecification::Text { help, .. } => {
                *help = String::new();
            }
            TypeSpecification::Veto { .. }
            | TypeSpecification::Undetermined
            | TypeSpecification::Spec { .. }
            | TypeSpecification::List { .. } => {}
        }
        cleared
    }

    /// Returns true if both types are measure and belong to the same named measure family.
    #[must_use]
    pub fn same_measure_family(&self, other: &LemmaType) -> bool {
        if !self.is_measure() || !other.is_measure() {
            return false;
        }
        match (self.measure_family(), other.measure_family()) {
            (Some(self_family), Some(other_family)) => self_family == other_family,
            _ => false,
        }
    }

    /// Structural equality for interface drift: same as [`PartialEq`] but family
    /// versions (`TypeFamily::effective`) are ignored. Unpinned imports spanning
    /// unchanged versions of a dependency compare equal; real changes still differ.
    #[must_use]
    pub fn same_interface(&self, other: &Self) -> bool {
        self.with_families_without_effective() == other.with_families_without_effective()
    }

    /// Like [`Self::same_interface`], but [`TypeOptions`] may differ. Used for
    /// `uses … -> effective` where option sets change across temporal versions.
    #[must_use]
    pub fn same_interface_ignoring_options(&self, other: &Self) -> bool {
        let mut left = self.with_families_without_effective();
        let mut right = other.with_families_without_effective();
        left.options = TypeOptions::default();
        right.options = TypeOptions::default();
        left == right
    }

    /// Clone with every [`TypeFamily::effective`] set to [`EffectiveDate::Origin`].
    #[must_use]
    pub fn with_families_without_effective(&self) -> Self {
        Self {
            name: self.name.clone(),
            specifications: self.specifications.with_families_without_effective(),
            extends: self.extends.with_families_without_effective(),
            options: self.options.clone(),
        }
    }

    #[must_use]
    pub fn compatible_with_anonymous_measure(&self, other: &LemmaType) -> bool {
        if !self.is_measure() || !other.is_measure() {
            return false;
        }
        if !self.is_anonymous_measure() && !other.is_anonymous_measure() {
            return false;
        }
        match (
            self.measure_type_decomposition(),
            other.measure_type_decomposition(),
        ) {
            (Some(a), Some(b)) => a == b,
            _ => false,
        }
    }

    /// Create a Veto LemmaType
    pub fn veto_type() -> Self {
        Self::primitive(TypeSpecification::veto())
    }

    /// LemmaType sentinel for undetermined type (used during inference when a type cannot be determined).
    /// Propagates through expressions and is never present in a validated graph.
    pub fn undetermined_type() -> Self {
        Self::primitive(TypeSpecification::Undetermined)
    }

    /// Input scale on a number declaration. Rejects a supplied value with more
    /// fractional digits. Not applied when a result is published.
    pub fn decimal_places(&self) -> Option<u8> {
        match &self.specifications {
            TypeSpecification::Number { decimals, .. } => *decimals,
            _ => None,
        }
    }

    /// Convert a rational magnitude to an API [`Decimal`] (28-scale boundary).
    ///
    /// Returns [`NumericFailure::Overflow`] when |magnitude| > Decimal::MAX
    /// (callers map this to a decimal-limit Veto). Does not apply `decimals`.
    pub fn try_rational_as_decimal(
        &self,
        magnitude: &crate::computation::rational::RationalInteger,
    ) -> Result<rust_decimal::Decimal, crate::computation::rational::NumericFailure> {
        let decimal = magnitude.try_to_decimal()?;
        Ok(format_decimal_for_api(decimal))
    }

    /// Convert a canonical measure magnitude in the named declared unit to an API [`Decimal`].
    pub fn try_measure_canonical_as_decimal_in_unit(
        &self,
        canonical_magnitude: &crate::computation::rational::RationalInteger,
        unit_name: &str,
    ) -> Result<rust_decimal::Decimal, crate::computation::rational::NumericFailure> {
        use crate::computation::rational::checked_div;
        let unit_factor = self.measure_unit_factor(unit_name);
        let magnitude_in_unit = checked_div(canonical_magnitude, unit_factor)?;
        self.try_rational_as_decimal(&magnitude_in_unit)
    }

    /// Convert a canonical ratio magnitude in the named declared unit to an API [`Decimal`].
    pub fn try_ratio_canonical_as_decimal_in_unit(
        &self,
        canonical_magnitude: &crate::computation::rational::RationalInteger,
        unit_name: &str,
    ) -> Result<rust_decimal::Decimal, crate::computation::rational::NumericFailure> {
        use crate::computation::rational::checked_mul;
        let units = match &self.specifications {
            TypeSpecification::Ratio { units, .. } => units,
            _ => unreachable!(
                "BUG: try_ratio_canonical_as_decimal_in_unit called on non-ratio type {}",
                self.name()
            ),
        };
        let ratio_unit = units
            .iter()
            .find(|unit| unit.name == unit_name)
            .unwrap_or_else(|| {
                let valid: Vec<&str> = units.iter().map(|unit| unit.name.as_str()).collect();
                unreachable!(
                    "BUG: unknown ratio unit '{}' for type {} (valid: {}); planning must reject invalid units",
                    unit_name,
                    self.name(),
                    valid.join(", ")
                )
            });
        let magnitude_in_unit = checked_mul(canonical_magnitude, &ratio_unit.value)?;
        self.try_rational_as_decimal(&magnitude_in_unit)
    }

    /// Get an example value string for this type, suitable for UI help text
    pub fn example_value(&self) -> &'static str {
        match &self.specifications {
            TypeSpecification::Text { .. } => "\"hello world\"",
            TypeSpecification::Measure { .. } => "12.50 eur",
            TypeSpecification::MeasureRange { .. } => "30 kilogram...35 kilogram",
            TypeSpecification::Number { .. } => "3.14",
            TypeSpecification::NumberRange { .. } => "0...100",
            TypeSpecification::Boolean { .. } => "true",
            TypeSpecification::Date { .. } => "2023-12-25T14:30:00Z",
            TypeSpecification::DateRange { .. } => "2024-01-01...2024-12-31",
            TypeSpecification::TimeRange { .. } => "09:00...17:00",
            TypeSpecification::Veto { .. } => "veto",
            TypeSpecification::Time { .. } => "14:30:00",
            TypeSpecification::Ratio { .. } => "50%",
            TypeSpecification::RatioRange { .. } => "10%...50%",
            TypeSpecification::Undetermined => unreachable!(
                "BUG: example_value called on Undetermined sentinel type; this type must never reach user-facing code"
            ),
            TypeSpecification::Spec { .. } => unreachable!(
                "BUG: example_value called on a spec type; spec instances are not prompted data"
            ),
            TypeSpecification::List { element, .. } => element.example_value(),
        }
    }

    /// Factor for a unit of this measure type (for unit conversion during evaluation only).
    /// Planning must validate conversions first and return Error for invalid units.
    /// If called with a non-measure type or unknown unit name, panics (invariant violation).
    #[must_use]
    /// Returns the resolved `BaseMeasureVector` for Measure types, or `None` if
    /// the decomposition pass has not yet resolved this type.
    /// Panics if called on non-Measure types.
    pub fn measure_type_decomposition(&self) -> Option<&BaseMeasureVector> {
        match &self.specifications {
            TypeSpecification::Measure { decomposition, .. } => decomposition.as_ref(),
            _ => unreachable!(
                "BUG: measure_type_decomposition called on non-measure type {}",
                self.name()
            ),
        }
    }

    /// One family dimension with exponent 1 — the shape that may cross-family
    /// relabel when the expression also names a unit (`5 eur as kg`).
    #[must_use]
    pub(crate) fn is_simple_base_measure(&self) -> bool {
        if !self.is_measure() {
            return false;
        }
        match self.measure_type_decomposition() {
            Some(decomposition) if decomposition.len() == 1 => {
                decomposition.values().next() == Some(&1)
            }
            _ => false,
        }
    }

    /// Declared measure unit table, when this type is a measure or measure range.
    #[must_use]
    pub fn measure_units_table(&self) -> Option<&MeasureUnits> {
        match &self.specifications {
            TypeSpecification::Measure { units, .. }
            | TypeSpecification::MeasureRange { units, .. } => Some(units),
            _ => None,
        }
    }

    /// Whether any declared unit of this measure family has a reference scale.
    /// List types follow their element.
    #[must_use]
    pub fn has_dynamic_units(&self) -> bool {
        if self
            .measure_units_table()
            .is_some_and(|units| units.iter().any(MeasureUnit::is_dynamic))
        {
            return true;
        }
        match &self.specifications {
            TypeSpecification::List { element, .. } => element.has_dynamic_units(),
            _ => false,
        }
    }

    /// Whether `unit_name` is a reference-scaled unit of this measure type.
    #[must_use]
    pub fn unit_is_dynamic(&self, unit_name: &str) -> bool {
        self.measure_units_table()
            .and_then(|units| units.get(unit_name).ok())
            .is_some_and(MeasureUnit::is_dynamic)
    }

    /// Unit name chosen for measure display / wire `unit` under `runtime_scales`.
    #[must_use]
    pub(crate) fn measure_display_unit_name(
        &self,
        runtime_scales: Option<&HashMap<String, crate::computation::rational::RationalInteger>>,
    ) -> Option<&str> {
        match &self.specifications {
            TypeSpecification::Measure { units, .. } if !units.is_empty() => Some(
                measure_display_unit(units, self, runtime_scales)
                    .name
                    .as_str(),
            ),
            _ => None,
        }
    }

    /// Fallback unit for a measure with no binding: factor-1, then the first
    /// literal-factor unit, then the first declared unit.
    #[must_use]
    pub fn measure_fallback_unit(&self) -> Option<&MeasureUnit> {
        let units = self.measure_units_table()?;
        units
            .iter()
            .find(|unit| unit.is_canonical_factor())
            .or_else(|| units.iter().find(|unit| unit.literal_factor().is_some()))
            .or_else(|| units.iter().next())
    }

    /// Runtime unit signature for measure arithmetic and display.
    ///
    /// - Named measure with units: `[(binding_or_fallback_unit_name, 1)]`. Arithmetic
    ///   expands this via `expand_signature_to_base_units` using the unit table.
    /// - Anonymous / no units: decomposition converted to signature form.
    ///
    /// Fallback order when there is no binding: the factor-1 unit, the first unit
    /// with a literal factor, the first declared unit.
    #[must_use]
    pub fn measure_runtime_signature(&self) -> Vec<(String, i32)> {
        if let Some(binding) = self.unit() {
            return vec![(binding.to_string(), 1)];
        }
        match &self.specifications {
            TypeSpecification::Measure {
                units,
                decomposition,
                ..
            } => {
                if let Some(unit) = self.measure_fallback_unit() {
                    return vec![(unit.name.clone(), 1)];
                }
                if units.is_empty() {
                    return base_measure_vector_as_signature(
                        decomposition
                            .as_ref()
                            .expect("BUG: measure type without units must carry a decomposition"),
                    );
                }
                unreachable!("BUG: non-empty measure unit table has no fallback unit");
            }
            TypeSpecification::MeasureRange {
                units,
                decomposition,
                ..
            } => {
                if let Some(unit) = self.measure_fallback_unit() {
                    return vec![(unit.name.clone(), 1)];
                }
                if units.is_empty() {
                    return base_measure_vector_as_signature(
                        decomposition
                            .as_ref()
                            .expect("BUG: measure type without units must carry a decomposition"),
                    );
                }
                unreachable!("BUG: non-empty measure-range unit table has no fallback unit");
            }
            _ => unreachable!(
                "BUG: measure_runtime_signature called on non-measure type {}",
                self.name()
            ),
        }
    }

    /// Primary declared ratio unit name when the type carries a non-empty unit table.
    #[must_use]
    pub fn ratio_primary_unit(&self) -> Option<&str> {
        match &self.specifications {
            TypeSpecification::Ratio { units, .. } if !units.is_empty() => {
                units.iter().next().map(|unit| unit.name.as_str())
            }
            TypeSpecification::RatioRange { units, .. } if !units.is_empty() => {
                units.iter().next().map(|unit| unit.name.as_str())
            }
            _ => None,
        }
    }

    /// Returns true if this is an anonymous (no-name) Measure — i.e. an anonymous
    /// intermediate produced by cross-axis arithmetic.
    pub fn is_anonymous_measure(&self) -> bool {
        self.name.is_none() && matches!(&self.specifications, TypeSpecification::Measure { .. })
    }

    /// Build an anonymous `LemmaType` for a given dimensional decomposition.
    /// Used at plan time to represent the inferred type of cross-axis intermediates.
    /// Runtime unit signature is derived from this decomposition via
    /// [`LemmaType::measure_runtime_signature`].
    pub fn anonymous_for_decomposition(decomposition: BaseMeasureVector) -> Self {
        Self {
            name: None,
            specifications: TypeSpecification::Measure {
                minimum: None,
                maximum: None,
                units: crate::literals::MeasureUnits::new(),
                traits: Vec::new(),
                decomposition: Some(decomposition),
                unit: None,
                help: String::new(),
            },
            extends: TypeExtends::Primitive,
            options: TypeOptions::default(),
        }
    }

    /// Declared ratio unit names when the type carries a non-empty unit table (`None` otherwise).
    #[must_use]
    pub fn ratio_unit_names(&self) -> Option<Vec<&str>> {
        match &self.specifications {
            TypeSpecification::Ratio { units, .. } if !units.is_empty() => {
                Some(units.iter().map(|unit| unit.name.as_str()).collect())
            }
            TypeSpecification::RatioRange { units, .. } if !units.is_empty() => {
                Some(units.iter().map(|unit| unit.name.as_str()).collect())
            }
            _ => None,
        }
    }

    /// Declared unit names when the type carries a non-empty unit table (`None` otherwise).
    #[must_use]
    pub fn measure_unit_names(&self) -> Option<Vec<&str>> {
        match &self.specifications {
            TypeSpecification::Measure { units, .. } if !units.is_empty() => {
                Some(units.iter().map(|unit| unit.name.as_str()).collect())
            }
            TypeSpecification::MeasureRange { units, .. } if !units.is_empty() => {
                Some(units.iter().map(|unit| unit.name.as_str()).collect())
            }
            _ => None,
        }
    }

    /// `age [number]` or `gender [gender_code]` — brackets omitted when type adds nothing.
    #[must_use]
    pub fn label_for_data_input(&self, input_key: &str) -> String {
        let type_label = if let Some(parent) = self.extends.parent_name() {
            parent.to_string()
        } else {
            let type_name = self.name();
            if type_name == input_key {
                self.specifications.to_string()
            } else {
                type_name
            }
        };
        if type_label == input_key {
            input_key.to_string()
        } else {
            format!("{input_key} [{type_label}]")
        }
    }

    /// `Data age [number]: {detail}` for runtime data override vetoes (parse/validation).
    #[must_use]
    pub fn data_veto_message(&self, input_key: &str, detail: &str) -> String {
        format!("Data {}: {}", self.label_for_data_input(input_key), detail)
    }

    /// Whether an empty [`EvaluateDataValue`] should veto before parse (text may accept `""`).
    #[must_use]
    pub fn empty_runtime_input_vetoes(&self) -> bool {
        !matches!(self.specifications, TypeSpecification::Text { .. })
    }

    /// Return the conversion factor for a declared unit name on this measure type.
    pub fn measure_unit_factor(
        &self,
        unit_name: &str,
    ) -> &crate::computation::rational::RationalInteger {
        let units = match &self.specifications {
            TypeSpecification::Measure { units, .. } => units,
            TypeSpecification::MeasureRange { units, .. } => units,
            _ => unreachable!(
                "BUG: measure_unit_factor called with non-measure type {}; only call during evaluation after planning validated measure conversion",
                self.name()
            ),
        };
        match units.get(unit_name) {
            Ok(unit) => unit.require_literal_factor(),
            Err(_) => {
                let valid: Vec<&str> = units.iter().map(|u| u.name.as_str()).collect();
                unreachable!(
                    "BUG: unknown unit '{}' for measure type {} (valid: {}); planning must reject invalid conversions with Error",
                    unit_name,
                    self.name(),
                    valid.join(", ")
                );
            }
        }
    }

    pub fn ratio_unit_factor(
        &self,
        unit_name: &str,
    ) -> &crate::computation::rational::RationalInteger {
        let units = match &self.specifications {
            TypeSpecification::Ratio { units, .. } => units,
            _ => unreachable!(
                "BUG: ratio_unit_factor called with non-ratio type {}; only call during evaluation after planning validated ratio conversion",
                self.name()
            ),
        };
        match units.get(unit_name) {
            Ok(RatioUnit { value, .. }) => value,
            Err(_) => {
                let valid: Vec<&str> = units.0.iter().map(|u| u.name.as_str()).collect();
                unreachable!(
                    "BUG: unknown unit '{}' for ratio type {} (valid: {}); planning must reject invalid conversions with Error",
                    unit_name,
                    self.name(),
                    valid.join(", ")
                );
            }
        }
    }

    /// Convert a measure literal to API [`Decimal`]s in the given unit names.
    pub(crate) fn measure_literal_unit_map(
        &self,
        literal: &LiteralValue,
        unit_names: &[&str],
        factor_source: UnitFactorSource<'_>,
    ) -> Result<BTreeMap<String, rust_decimal::Decimal>, LiteralUnitMapFailure> {
        use crate::computation::rational::checked_div;

        let ValueKind::Measure(magnitude) = &literal.value else {
            panic!("BUG: measure_literal_unit_map called with non-measure value");
        };
        let mut map = BTreeMap::new();
        for &unit_name in unit_names {
            let Some(unit_factor) = factor_source.try_measure_unit_factor(unit_name) else {
                continue;
            };
            let magnitude_in_unit = checked_div(magnitude, &unit_factor)
                .map_err(LiteralUnitMapFailure::UnitConversion)?;
            let decimal = self
                .try_rational_as_decimal(&magnitude_in_unit)
                .map_err(LiteralUnitMapFailure::Commit)?;
            map.insert(unit_name.to_string(), decimal);
        }
        Ok(map)
    }

    /// Convert a ratio literal to API [`Decimal`]s in the given unit names.
    pub(crate) fn ratio_literal_unit_map(
        &self,
        literal: &LiteralValue,
        unit_names: &[&str],
        factor_source: UnitFactorSource<'_>,
    ) -> Result<BTreeMap<String, rust_decimal::Decimal>, LiteralUnitMapFailure> {
        use crate::computation::rational::checked_mul;

        let ratio_api_type = match &self.specifications {
            TypeSpecification::Ratio { .. } => self,
            TypeSpecification::RatioRange { .. } => {
                return ratio_element_type_for_api(self).ratio_literal_unit_map(
                    literal,
                    unit_names,
                    factor_source,
                );
            }
            _ => {
                panic!(
                    "BUG: ratio_literal_unit_map called with non-ratio type {}",
                    self.name()
                );
            }
        };
        let ValueKind::Ratio(canonical) = &literal.value else {
            panic!("BUG: ratio_literal_unit_map called with non-ratio value");
        };
        if unit_names.is_empty() {
            panic!(
                "BUG: ratio literal type '{}' must have at least one unit name",
                self.name()
            );
        }
        let mut map = BTreeMap::new();
        for &unit_name in unit_names {
            let unit_factor = factor_source.ratio_unit_factor(unit_name);
            let magnitude_in_unit = checked_mul(canonical, unit_factor)
                .map_err(LiteralUnitMapFailure::UnitConversion)?;
            let decimal = ratio_api_type
                .try_rational_as_decimal(&magnitude_in_unit)
                .map_err(LiteralUnitMapFailure::Commit)?;
            map.insert(unit_name.to_string(), decimal);
        }
        Ok(map)
    }
}

/// Where to read measure/ratio unit factors when building a per-unit decimal map.
pub(crate) enum UnitFactorSource<'a> {
    DeclaredOn(&'a LemmaType),
    Merged {
        measure: Option<&'a MeasureUnits>,
        ratio: Option<&'a RatioUnits>,
    },
    /// Evaluated reference scales over a declared or merged table. A dynamic
    /// column whose scale is missing from `scales` is omitted.
    Runtime {
        scales:
            &'a std::collections::HashMap<String, crate::computation::rational::RationalInteger>,
        fallback: &'a UnitFactorSource<'a>,
    },
}

impl UnitFactorSource<'_> {
    /// Literal factor of `unit_name`, or `None` when that unit is reference-scaled
    /// and this source has no runtime factor for it (the column is omitted).
    fn try_measure_unit_factor(
        &self,
        unit_name: &str,
    ) -> Option<crate::computation::rational::RationalInteger> {
        match self {
            UnitFactorSource::DeclaredOn(lemma_type) => {
                let units = lemma_type.measure_units_table().unwrap_or_else(|| {
                    panic!(
                        "BUG: measure_unit_factor on non-measure type {}",
                        lemma_type.name()
                    )
                });
                let unit = units.get(unit_name).unwrap_or_else(|_| {
                    panic!(
                        "BUG: unknown unit '{unit_name}' for measure type {}",
                        lemma_type.name()
                    )
                });
                unit.literal_factor().cloned()
            }
            UnitFactorSource::Merged { measure, .. } => {
                // A unit omitted from the merged table (owners disagree on its scale)
                // has no single factor here; the column is skipped.
                let units = (*measure)?;
                let unit = units.get(unit_name).ok()?;
                unit.literal_factor().cloned()
            }
            UnitFactorSource::Runtime { scales, fallback } => scales
                .get(unit_name)
                .cloned()
                .or_else(|| fallback.try_measure_unit_factor(unit_name)),
        }
    }

    fn ratio_unit_factor(&self, unit_name: &str) -> &crate::computation::rational::RationalInteger {
        match self {
            UnitFactorSource::DeclaredOn(lemma_type) => lemma_type.ratio_unit_factor(unit_name),
            UnitFactorSource::Merged { ratio, .. } => {
                let units = ratio.unwrap_or_else(|| {
                    panic!(
                        "BUG: family ratio expansion missing merged table for unit '{unit_name}'"
                    )
                });
                &units
                    .get(unit_name)
                    .unwrap_or_else(|_| {
                        panic!("BUG: family unit '{unit_name}' missing from merged ratio table")
                    })
                    .value
            }
            UnitFactorSource::Runtime { fallback, .. } => fallback.ratio_unit_factor(unit_name),
        }
    }
}

/// Primitive ratio type for API unit-map conversion on ratio range wrappers.
pub(crate) fn ratio_element_type_for_api(lemma_type: &LemmaType) -> LemmaType {
    match &lemma_type.specifications {
        TypeSpecification::Ratio { .. } => lemma_type.clone(),
        TypeSpecification::RatioRange { .. } => {
            let element = range_element_type_specification(&lemma_type.specifications)
                .expect("BUG: ratio range type must have ratio element specification");
            let TypeSpecification::Ratio { units, .. } = element else {
                panic!("BUG: ratio range element spec must be Ratio");
            };
            LemmaType::primitive(TypeSpecification::Ratio {
                minimum: None,
                maximum: None,
                units,
                unit: None,
                help: String::new(),
            })
        }
        _ => panic!(
            "BUG: ratio_element_type_for_api called with non-ratio type {}",
            lemma_type.name()
        ),
    }
}

/// Failure while converting a literal to decimal strings across declared units.
#[derive(Debug, Clone, PartialEq, Eq)]
pub(crate) enum LiteralUnitMapFailure {
    Commit(crate::computation::rational::NumericFailure),
    UnitConversion(crate::computation::rational::NumericFailure),
}

/// Runtime literal payload. Type lives on `NormalForm.result_type` / `DataDefinition` /
/// explicit computation parameters — not on the value.
#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub struct LiteralValue {
    pub value: ValueKind,
}

impl LiteralValue {
    #[inline]
    pub fn new(value: ValueKind) -> Self {
        Self { value }
    }

    fn single_measure_signature_unit_name(signature: &[(String, i32)]) -> Option<&str> {
        match signature {
            [(unit_name, 1)] => Some(unit_name.as_str()),
            _ => None,
        }
    }
}

/// Planning-time literal: value plus resolved type.
///
/// Used by `ExpressionKind::Literal` and coerce/typing paths. Runtime
/// `OperationResult` / value-table slots store bare [`LiteralValue`]; the type
/// is on the node (`NormalForm.result_type`) or data definition.
#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub struct TypedLiteral {
    pub value: ValueKind,
    pub lemma_type: Arc<LemmaType>,
}

impl TypedLiteral {
    #[inline]
    pub fn to_literal(&self) -> LiteralValue {
        LiteralValue {
            value: self.value.clone(),
        }
    }

    #[inline]
    pub fn into_literal(self) -> LiteralValue {
        LiteralValue { value: self.value }
    }
}

impl From<TypedLiteral> for LiteralValue {
    fn from(typed: TypedLiteral) -> Self {
        typed.into_literal()
    }
}

impl From<&TypedLiteral> for LiteralValue {
    fn from(typed: &TypedLiteral) -> Self {
        typed.to_literal()
    }
}

impl LiteralValue {
    pub fn text(s: impl Into<Arc<str>>) -> Self {
        Self {
            value: ValueKind::Text(s.into()),
        }
    }

    pub fn number(n: RationalInteger) -> Self {
        Self {
            value: ValueKind::Number(n),
        }
    }

    pub fn number_from_decimal(decimal: Decimal) -> Self {
        Self::number(
            crate::literals::rational_from_parsed_decimal(decimal)
                .expect("BUG: literal number from decimal must lift at boundary"),
        )
    }

    pub fn measure(n: RationalInteger) -> Self {
        Self {
            value: ValueKind::Measure(n),
        }
    }

    pub fn from_bool(b: bool) -> Self {
        Self {
            value: ValueKind::Boolean(b),
        }
    }

    pub fn from_datetime(dt: &crate::parsing::ast::DateTimeValue) -> Self {
        Self::date(date_time_to_semantic(dt))
    }

    pub fn date(dt: SemanticDateTime) -> Self {
        Self {
            value: ValueKind::Date(dt),
        }
    }

    pub fn time(t: SemanticTime) -> Self {
        Self {
            value: ValueKind::Time(t),
        }
    }

    pub fn ratio(r: RationalInteger) -> Self {
        Self {
            value: ValueKind::Ratio(r),
        }
    }

    pub fn ratio_from_decimal(r: Decimal) -> Self {
        Self::ratio(
            crate::literals::rational_from_parsed_decimal(r)
                .expect("BUG: ratio literal from decimal must lift at boundary"),
        )
    }

    pub fn range(left: TypedLiteral, right: TypedLiteral) -> Self {
        Self {
            value: ValueKind::Range(Box::new(left), Box::new(right)),
        }
    }

    /// Display without an explicit type. Measure/ratio fall back to magnitude-only.
    pub fn display_value(&self) -> String {
        match &self.value {
            ValueKind::Measure(_) | ValueKind::Ratio(_) | ValueKind::UnscaledMeasure { .. } => {
                format!("{}", self.value)
            }
            ValueKind::Range(left, right) => {
                format!("{}...{}", left.display_value(), right.display_value())
            }
            ValueKind::List(rows) if rows.is_empty() => String::new(),
            ValueKind::List(rows) => rows
                .iter()
                .map(|row| row.display_value())
                .collect::<Vec<_>>()
                .join(", "),
            _ => format!("{}", self.value),
        }
    }

    /// Display string given an explicit type (measure/ratio need unit identity).
    pub fn display_value_with_type(&self, lemma_type: &LemmaType) -> String {
        self.display_value_with_scales(lemma_type, None)
    }

    /// Display string given an explicit type and settled reference-scale factors.
    pub fn display_value_with_scales(
        &self,
        lemma_type: &LemmaType,
        runtime_scales: Option<&HashMap<String, crate::computation::rational::RationalInteger>>,
    ) -> String {
        match &self.value {
            ValueKind::Measure(n) => {
                let signature = lemma_type.measure_runtime_signature();
                format_measure_canonical_for_display(n, lemma_type, &signature, runtime_scales)
            }
            ValueKind::UnscaledMeasure { magnitude, unit } => {
                format!(
                    "{} {unit}",
                    format_rational_magnitude_for_display(magnitude)
                )
            }
            ValueKind::Ratio(n) => format_ratio_canonical_for_display(n, lemma_type),
            ValueKind::Range(left, right) => {
                format!(
                    "{}...{}",
                    left.to_literal()
                        .display_value_with_scales(&left.lemma_type, runtime_scales),
                    right
                        .to_literal()
                        .display_value_with_scales(&right.lemma_type, runtime_scales)
                )
            }
            ValueKind::List(rows) if rows.is_empty() => lemma_type.specifications.to_string(),
            ValueKind::List(rows) => rows
                .iter()
                .map(|row| {
                    row.to_literal()
                        .display_value_with_scales(&row.lemma_type, runtime_scales)
                })
                .collect::<Vec<_>>()
                .join(", "),
            _ => format!("{}", self.value),
        }
    }

    /// Structural byte-size estimate for resource limit checks.
    pub fn byte_size(&self) -> usize {
        self.value.structural_byte_size()
    }

    /// Magnitude for decimal input prompts (API [`Decimal`]; format at call site).
    #[must_use]
    pub fn magnitude_suggestion_for_decimal_prompt(
        &self,
        lemma_type: &LemmaType,
    ) -> Option<rust_decimal::Decimal> {
        match &self.value {
            ValueKind::Number(n) => Some(
                lemma_type
                    .try_rational_as_decimal(n)
                    .expect("BUG: stored number literal must convert to decimal for prompt"),
            ),
            ValueKind::Measure(n) => {
                let signature = lemma_type.measure_runtime_signature();
                let unit_name = Self::single_measure_signature_unit_name(&signature).expect(
                    "BUG: measure prompt requires exactly one signature unit with exponent 1",
                );
                Some(
                    lemma_type
                        .try_measure_canonical_as_decimal_in_unit(n, unit_name)
                        .expect("BUG: stored measure literal must convert to decimal for prompt"),
                )
            }
            ValueKind::Ratio(n) => {
                if let Some(unit_name) = lemma_type.unit() {
                    Some(
                        lemma_type
                            .try_ratio_canonical_as_decimal_in_unit(n, unit_name)
                            .expect("BUG: stored ratio literal must convert to decimal for prompt"),
                    )
                } else {
                    Some(lemma_type.try_rational_as_decimal(n).expect(
                        "BUG: stored bare ratio literal must convert to decimal for prompt",
                    ))
                }
            }
            _ => None,
        }
    }

    /// Per-unit magnitudes when this literal is a measure with declared units.
    #[must_use]
    pub fn measure_units(
        &self,
        lemma_type: &LemmaType,
    ) -> Option<BTreeMap<String, rust_decimal::Decimal>> {
        if !matches!(self.value, ValueKind::Measure(_)) {
            return None;
        }
        lemma_type.measure_unit_names()?;
        let declared: Vec<&str> = lemma_type
            .measure_unit_names()
            .expect("BUG: measure_unit_names checked above");
        lemma_type
            .measure_literal_unit_map(self, &declared, UnitFactorSource::DeclaredOn(lemma_type))
            .ok()
    }

    /// Per-unit magnitudes when this literal is a ratio with declared units.
    #[must_use]
    pub fn ratio_units(
        &self,
        lemma_type: &LemmaType,
    ) -> Option<BTreeMap<String, rust_decimal::Decimal>> {
        if !matches!(self.value, ValueKind::Ratio(_)) {
            return None;
        }
        let has_declared_units = match &lemma_type.specifications {
            TypeSpecification::Ratio { units, .. } => !units.is_empty(),
            TypeSpecification::RatioRange { .. } => true,
            _ => return None,
        };
        if !has_declared_units {
            return None;
        }
        let declared: Vec<&str> = lemma_type
            .ratio_unit_names()
            .expect("BUG: ratio units checked above");
        lemma_type
            .ratio_literal_unit_map(self, &declared, UnitFactorSource::DeclaredOn(lemma_type))
            .ok()
    }

    /// Magnitude in a declared unit when this literal is measure or ratio.
    #[must_use]
    pub fn magnitude_in_unit(
        &self,
        lemma_type: &LemmaType,
        unit: &str,
    ) -> Option<rust_decimal::Decimal> {
        self.measure_units(lemma_type)
            .and_then(|map| map.get(unit).copied())
            .or_else(|| {
                self.ratio_units(lemma_type)
                    .and_then(|map| map.get(unit).copied())
            })
    }

    /// Derive second from a duration measure's canonical magnitude.
    pub fn duration_canonical_seconds(&self, lemma_type: &LemmaType) -> RationalInteger {
        let ValueKind::Measure(magnitude) = &self.value else {
            unreachable!(
                "BUG: duration_canonical_seconds called with {:?}",
                self.value
            );
        };
        if !lemma_type.is_duration_like_measure() {
            unreachable!(
                "BUG: duration_canonical_seconds called with type {}",
                lemma_type.name()
            );
        }
        let factor = lemma_type.measure_unit_factor("second");
        checked_div(magnitude, factor).expect("BUG: duration unit factor cannot be zero")
    }

    /// Derive month from a calendar measure's canonical magnitude.
    pub fn calendar_canonical_months(&self, lemma_type: &LemmaType) -> RationalInteger {
        let ValueKind::Measure(magnitude) = &self.value else {
            unreachable!(
                "BUG: calendar_canonical_months called with {:?}",
                self.value
            );
        };
        if !lemma_type.is_calendar_like() {
            unreachable!(
                "BUG: calendar_canonical_months called with type {}",
                lemma_type.name()
            );
        }
        let factor = lemma_type.measure_unit_factor("month");
        checked_div(magnitude, factor).expect("BUG: calendar unit factor cannot be zero")
    }
}

impl TypedLiteral {
    pub fn text(s: impl Into<Arc<str>>) -> Self {
        Self {
            value: ValueKind::Text(s.into()),
            lemma_type: primitive_text_arc().clone(),
        }
    }

    pub fn text_with_type(s: impl Into<Arc<str>>, lemma_type: Arc<LemmaType>) -> Self {
        Self {
            value: ValueKind::Text(s.into()),
            lemma_type,
        }
    }

    pub fn number(n: RationalInteger) -> Self {
        Self {
            value: ValueKind::Number(n),
            lemma_type: primitive_number_arc().clone(),
        }
    }

    pub fn number_from_decimal(decimal: Decimal) -> Self {
        Self::number(
            crate::literals::rational_from_parsed_decimal(decimal)
                .expect("BUG: literal number from decimal must lift at boundary"),
        )
    }

    pub fn number_with_type(n: RationalInteger, lemma_type: Arc<LemmaType>) -> Self {
        Self {
            value: ValueKind::Number(n),
            lemma_type,
        }
    }

    pub fn number_with_type_from_decimal(decimal: Decimal, lemma_type: Arc<LemmaType>) -> Self {
        Self::number_with_type(
            crate::literals::rational_from_parsed_decimal(decimal)
                .expect("BUG: literal number from decimal must lift at boundary"),
            lemma_type,
        )
    }

    /// Build a Measure literal bound to a specific declared unit.
    pub fn measure_with_bound_unit(
        n: RationalInteger,
        unit_name: impl Into<String>,
        lemma_type: Arc<LemmaType>,
    ) -> Self {
        Self::measure_with_type(
            n,
            Arc::new(lemma_type.as_ref().clone().with_unit(unit_name)),
        )
    }

    pub fn measure_with_type(n: RationalInteger, lemma_type: Arc<LemmaType>) -> Self {
        Self {
            value: ValueKind::Measure(n),
            lemma_type,
        }
    }

    pub fn measure_with_signature(n: RationalInteger, lemma_type: Arc<LemmaType>) -> Self {
        Self {
            value: ValueKind::Measure(n),
            lemma_type,
        }
    }

    /// Unit literal outside a measure type context: no family, so no dimensions.
    pub fn number_interpreted_as_measure(value: RationalInteger) -> Self {
        Self {
            value: ValueKind::Measure(value),
            lemma_type: Arc::new(anonymous_measure_type()),
        }
    }

    pub fn from_bool(b: bool) -> Self {
        Self {
            value: ValueKind::Boolean(b),
            lemma_type: primitive_boolean_arc().clone(),
        }
    }

    pub fn from_datetime(dt: &crate::parsing::ast::DateTimeValue) -> Self {
        Self::date(date_time_to_semantic(dt))
    }

    pub fn date(dt: SemanticDateTime) -> Self {
        Self {
            value: ValueKind::Date(dt),
            lemma_type: primitive_date_arc().clone(),
        }
    }

    pub fn date_with_type(dt: SemanticDateTime, lemma_type: Arc<LemmaType>) -> Self {
        Self {
            value: ValueKind::Date(dt),
            lemma_type,
        }
    }

    pub fn time(t: SemanticTime) -> Self {
        Self {
            value: ValueKind::Time(t),
            lemma_type: primitive_time_arc().clone(),
        }
    }

    pub fn time_with_type(t: SemanticTime, lemma_type: Arc<LemmaType>) -> Self {
        Self {
            value: ValueKind::Time(t),
            lemma_type,
        }
    }

    pub fn calendar(
        value: RationalInteger,
        unit: SemanticCalendarUnit,
        lemma_type: Arc<LemmaType>,
    ) -> Self {
        let unit_name = unit.to_string();
        debug_assert_eq!(
            semantic_calendar_unit_from_unit_name(&unit_name),
            unit,
            "BUG: calendar unit name must round-trip"
        );
        Self::measure_with_bound_unit(value, unit_name, lemma_type)
    }

    pub fn calendar_from_decimal(
        value: Decimal,
        unit: SemanticCalendarUnit,
        lemma_type: Arc<LemmaType>,
    ) -> Self {
        Self::calendar(
            crate::literals::rational_from_parsed_decimal(value)
                .expect("BUG: calendar literal from decimal must lift at boundary"),
            unit,
            lemma_type,
        )
    }

    pub fn calendar_with_type(
        value: RationalInteger,
        unit: SemanticCalendarUnit,
        lemma_type: Arc<LemmaType>,
    ) -> Self {
        Self::calendar(value, unit, lemma_type)
    }

    pub fn ratio(r: RationalInteger) -> Self {
        Self {
            value: ValueKind::Ratio(r),
            lemma_type: primitive_ratio_arc().clone(),
        }
    }

    pub fn ratio_from_decimal(r: Decimal) -> Self {
        Self::ratio(
            crate::literals::rational_from_parsed_decimal(r)
                .expect("BUG: ratio literal from decimal must lift at boundary"),
        )
    }

    pub fn ratio_with_type(r: RationalInteger, lemma_type: Arc<LemmaType>) -> Self {
        Self {
            value: ValueKind::Ratio(r),
            lemma_type,
        }
    }

    pub fn ratio_with_bound_unit(
        r: RationalInteger,
        unit_name: impl Into<String>,
        lemma_type: Arc<LemmaType>,
    ) -> Self {
        Self::ratio_with_type(
            r,
            Arc::new(lemma_type.as_ref().clone().with_unit(unit_name)),
        )
    }

    pub fn range(left: TypedLiteral, right: TypedLiteral) -> Self {
        let specifications =
            range_type_specification_from_endpoints(&left.lemma_type, &right.lemma_type)
                .unwrap_or_else(|| {
                    unreachable!(
                "BUG: attempted to construct a range literal from incompatible endpoint types"
            )
                });

        Self {
            value: ValueKind::Range(Box::new(left), Box::new(right)),
            lemma_type: Arc::new(LemmaType::primitive(specifications)),
        }
    }

    pub fn display_value(&self) -> String {
        self.to_literal().display_value_with_type(&self.lemma_type)
    }

    pub fn get_type(&self) -> &LemmaType {
        &self.lemma_type
    }

    pub fn byte_size(&self) -> usize {
        self.value.structural_byte_size()
    }
}

impl fmt::Display for TypedLiteral {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{}", self.display_value())
    }
}

/// What a [`DataDefinition::Reference`] copies its value from: either another data path
/// or a rule whose result becomes this data's value.
#[derive(Clone, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
pub enum ReferenceTarget {
    Data(DataPath),
    Rule(RulePath),
}

impl fmt::Display for ReferenceTarget {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            ReferenceTarget::Data(path) => write!(f, "{path}"),
            ReferenceTarget::Rule(path) => write!(f, "{path}"),
        }
    }
}

/// Where a [`DataDefinition::Reference`] chain ends. Computed once per slice in
/// [`crate::planning::graph::Graph::validate`] after `compute_data_reference_order`
/// rejected cycles.
#[derive(Clone, Debug, PartialEq, Eq)]
pub(crate) enum ReferenceEnd {
    Promptable(DataPath),
    Rule(RulePath),
}

/// Who wrote a data slot's definition.
///
/// A slot declared by its own spec is a default: evaluation data may replace it. A
/// slot bound by a consumer (`uses x -> with field: value`, a path fill, or a row
/// field written in a data list) is final: supplying it at evaluate is a request
/// [`crate::Error`], and it is not a promptable input.
#[derive(Clone, Copy, Debug, PartialEq, Eq)]
pub enum DataOrigin {
    Declared,
    Bound,
}

/// Date-typed local that a dynamic `uses … -> effective` import reads at evaluation.
#[derive(Clone, Debug, PartialEq, Eq, Hash)]
pub enum ImportEffectivePin {
    Data(DataPath),
    Rule(RulePath),
}

/// Resolved data value for the execution plan: aligned with [`DataValue`] but with source per variant.
#[derive(Clone, Debug)]
pub enum DataDefinition {
    /// Value-holding data: current literal (spec default or `with` binding).
    Value {
        value: LiteralValue,
        resolved_type: Arc<LemmaType>,
        origin: DataOrigin,
        source: Source,
    },
    /// Type-only data: type known, value to be supplied (e.g. via run data).
    /// `declared_suggestion` carries the `-> suggest ...` payload for this binding or
    /// the suggestion inherited from the parent type chain, if any; value-promoting code
    /// uses it instead of re-deriving suggestions from [`TypeSpecification`].
    /// The evaluator never commits a suggestion — unbound stays MissingData.
    TypeDeclaration {
        resolved_type: Arc<LemmaType>,
        declared_suggestion: Option<BoundValueKind>,
        declared_value: Option<BoundValueKind>,
        source: Source,
    },
    /// Import (`uses`): a spec instance named `alias` in this plan, a row over the
    /// imported spec's template plan. Its bindings are the `-> with` / path-fill fields
    /// the declaring spec wrote; the imported data and rules are read through the
    /// template in the instance's context.
    ///
    /// When `pin` is `None`, `row` is the sole body. When `pin` is `Some` (`-> effective`),
    /// `candidates` holds every possible body and evaluation selects among them; `row`
    /// then equals an arbitrary candidate and must not be read without selection.
    Import {
        row: Arc<RowInstance>,
        /// Planned path of the `-> effective` date when present.
        pin: Option<ImportEffectivePin>,
        /// Bound rows keyed by identity when `pin` is set; empty for static imports.
        candidates: std::collections::BTreeMap<SpecIdentity, Arc<RowInstance>>,
        source: Source,
    },
    /// Instance list (`data x: spec list`). `resolved_type` is the list type.
    /// Rows written in the spec are instances of this plan under the list path
    /// ([`crate::planning::execution_plan::ExecutionPlan::instance_lists`]);
    /// evaluation lists them unless run data replaces the list.
    InstanceList {
        resolved_type: Arc<LemmaType>,
        origin: DataOrigin,
        source: Source,
    },
    /// Value-copy reference to another data or a rule result.
    ///
    /// `resolved_type` is the merged type that the copied value must satisfy at
    /// evaluation time. Merging folds together: (1) the LHS's own declared type,
    /// if any; (2) the target's type (data declared type or rule return type);
    /// (3) any `local_constraints` written after the `->` on the reference itself.
    /// Merging happens in a dedicated pass once all data and rule types are
    /// known; before that pass, `resolved_type` holds a provisional value and
    /// must not be consumed for type checking.
    ///
    /// `local_constraints` preserves the raw constraint list from the reference's
    /// `-> ...` tail (e.g. `minimum 5` in `data license2: law.other -> minimum 5`)
    /// for that merging pass. It is `None` when the reference has no trailing
    /// constraints.
    ///
    /// `local_suggestion` carries any `suggest <value>` constraint from the
    /// reference's `-> ...` tail. The reference-merge pass extracts it from the
    /// constraint list during type resolution. It is a UI hint only
    /// ([`Self::suggestion`] / show); the evaluator never commits it — unbound
    /// stays MissingData.
    ///
    /// The reference itself is evaluated by copying the target's value (data path)
    /// or the target rule's result in topological order. Evaluate data for this
    /// path binds via `resolved_type` like a type declaration.
    Reference {
        target: ReferenceTarget,
        resolved_type: Arc<LemmaType>,
        local_constraints: Option<Vec<Constraint>>,
        local_suggestion: Option<BoundValueKind>,
        local_value: Option<BoundValueKind>,
        origin: DataOrigin,
        source: Source,
    },
}

impl DataDefinition {
    /// Whether a consumer bound this slot (`uses -> with`, path fill, or a row field
    /// written in a data list). Bound slots take no evaluation data.
    pub fn is_bound(&self) -> bool {
        match self {
            DataDefinition::Value { origin, .. }
            | DataDefinition::InstanceList { origin, .. }
            | DataDefinition::Reference { origin, .. } => *origin == DataOrigin::Bound,
            DataDefinition::TypeDeclaration { .. } | DataDefinition::Import { .. } => false,
        }
    }

    /// Declared lemma type for value, type-declaration, and reference data; `None` for imports.
    pub fn lemma_type(&self) -> Option<&LemmaType> {
        self.resolved_type_arc().map(|arc| arc.as_ref())
    }

    /// Shared [`Arc`] for the declared type; `None` for imports.
    pub fn resolved_type_arc(&self) -> Option<&Arc<LemmaType>> {
        match self {
            DataDefinition::Value { resolved_type, .. } => Some(resolved_type),
            DataDefinition::TypeDeclaration { resolved_type, .. } => Some(resolved_type),
            DataDefinition::Reference { resolved_type, .. } => Some(resolved_type),
            DataDefinition::InstanceList { resolved_type, .. } => Some(resolved_type),
            DataDefinition::Import { .. } => None,
        }
    }

    /// Alias for [`Self::lemma_type`] (historical name).
    #[inline]
    pub fn schema_type(&self) -> Option<&LemmaType> {
        self.lemma_type()
    }

    /// Returns the literal value when the data already holds one, including `-> with`
    /// on a type declaration or reference. A data-target `Reference`'s copied value
    /// is produced by the evaluator at runtime, so at plan-time it has no value yet.
    pub fn value(&self) -> Option<LiteralValue> {
        match self {
            DataDefinition::Value { value, .. } => Some(value.clone()),
            DataDefinition::TypeDeclaration {
                declared_value: Some(dv),
                ..
            } => Some(dv.to_literal()),
            DataDefinition::Reference {
                local_value: Some(dv),
                resolved_type: _,
                ..
            } => Some(dv.to_literal()),
            DataDefinition::TypeDeclaration { .. }
            | DataDefinition::Import { .. }
            | DataDefinition::InstanceList { .. }
            | DataDefinition::Reference { .. } => None,
        }
    }

    /// Fill value with optional written measure unit binding (Show display).
    pub(crate) fn bound_value(&self) -> Option<&BoundValueKind> {
        match self {
            DataDefinition::TypeDeclaration {
                declared_value: Some(dv),
                ..
            }
            | DataDefinition::Reference {
                local_value: Some(dv),
                ..
            } => Some(dv),
            DataDefinition::Value { .. }
            | DataDefinition::TypeDeclaration { .. }
            | DataDefinition::Reference { .. }
            | DataDefinition::InstanceList { .. }
            | DataDefinition::Import { .. } => None,
        }
    }

    /// Suggestion with optional written measure unit binding (Show display).
    /// Surfaces in [`crate::planning::execution_plan::ShowData::suggestion`] for
    /// show/response/UI; the evaluator never commits it — unbound stays MissingData.
    pub(crate) fn bound_suggestion(&self) -> Option<&BoundValueKind> {
        match self {
            DataDefinition::TypeDeclaration {
                declared_suggestion: Some(dv),
                ..
            }
            | DataDefinition::Reference {
                local_suggestion: Some(dv),
                ..
            } => Some(dv),
            DataDefinition::Value { .. }
            | DataDefinition::TypeDeclaration { .. }
            | DataDefinition::Reference { .. }
            | DataDefinition::InstanceList { .. }
            | DataDefinition::Import { .. } => None,
        }
    }

    /// Returns the source location for this data.
    pub fn source(&self) -> &Source {
        match self {
            DataDefinition::Value { source, .. } => source,
            DataDefinition::TypeDeclaration { source, .. } => source,
            DataDefinition::Import { source, .. } => source,
            DataDefinition::InstanceList { source, .. } => source,
            DataDefinition::Reference { source, .. } => source,
        }
    }

    /// The sole row of a static (`pin` is `None`) import.
    pub fn import_sole_row(&self) -> &Arc<RowInstance> {
        let DataDefinition::Import { pin, row, .. } = self else {
            panic!("BUG: import_sole_row on non-import data");
        };
        assert!(
            pin.is_none(),
            "BUG: dynamic import needs pin selection before reading a row"
        );
        row
    }

    /// Candidate rows of a dynamic import (`pin` is set).
    pub fn import_candidates(&self) -> &std::collections::BTreeMap<SpecIdentity, Arc<RowInstance>> {
        let DataDefinition::Import {
            pin, candidates, ..
        } = self
        else {
            panic!("BUG: import_candidates on non-import data");
        };
        assert!(pin.is_some(), "BUG: static import has no candidate map");
        candidates
    }

    /// Whether this import selects its body from a `-> effective` pin at evaluation.
    pub fn import_pin(&self) -> Option<&ImportEffectivePin> {
        match self {
            DataDefinition::Import { pin, .. } => pin.as_ref(),
            _ => None,
        }
    }

    /// Row of a dynamic import for `identity`, or the sole static row when `pin` is `None`.
    pub fn import_row_for(&self, identity: &SpecIdentity) -> &Arc<RowInstance> {
        let DataDefinition::Import {
            pin,
            row,
            candidates,
            ..
        } = self
        else {
            panic!("BUG: import_row_for on non-import data");
        };
        if pin.is_none() {
            return row;
        }
        candidates
            .get(identity)
            .unwrap_or_else(|| panic!("BUG: dynamic import has no row for identity '{identity}'"))
    }
}

/// Bind a type-agnostic [`Value::NumberWithUnit`] using the unit index entry for `unit_name`.
pub fn number_with_unit_to_value_kind(
    magnitude: rust_decimal::Decimal,
    unit_name: &str,
    lemma_type: &LemmaType,
) -> Result<ValueKind, String> {
    match &lemma_type.specifications {
        TypeSpecification::Ratio { units, .. } => {
            use crate::computation::rational::{checked_div, decimal_to_rational};
            let unit = units.get(unit_name)?;
            let magnitude_rational = decimal_to_rational(magnitude)
                .map_err(|failure| format!("ratio literal failed rational lift: {failure}"))?;
            let canonical_rational = checked_div(&magnitude_rational, &unit.value)
                .map_err(|failure| format!("ratio literal: unit conversion failed: {failure}"))?;
            Ok(ValueKind::Ratio(canonical_rational))
        }
        TypeSpecification::Measure { units, .. } => {
            use crate::computation::rational::checked_mul;
            let rational = lift_parser_decimal(magnitude)?;
            let unit = units.get(unit_name)?;
            match unit.literal_factor() {
                Some(factor) => {
                    let canonical = checked_mul(&rational, factor).map_err(|failure| {
                        format!("measure canonicalization overflow: {failure}")
                    })?;
                    Ok(ValueKind::Measure(canonical))
                }
                None => Ok(ValueKind::UnscaledMeasure {
                    magnitude: rational,
                    unit: std::sync::Arc::from(unit_name),
                }),
            }
        }
        _ => Err(format!(
            "Unit '{}' is defined on type '{}' which is not measure or ratio",
            unit_name,
            lemma_type.name()
        )),
    }
}

/// Whether a [`ValueKind`] is structurally compatible with a [`TypeSpecification`].
/// Bound validation (min/max/decimals) is separate; this only checks shape.
pub(crate) fn value_kind_matches_spec(value: &ValueKind, type_spec: &TypeSpecification) -> bool {
    matches!(
        (type_spec, value),
        (TypeSpecification::Number { .. }, ValueKind::Number(_))
            | (TypeSpecification::Text { .. }, ValueKind::Text(_))
            | (TypeSpecification::Boolean { .. }, ValueKind::Boolean(_))
            | (TypeSpecification::Date { .. }, ValueKind::Date(_))
            | (TypeSpecification::Time { .. }, ValueKind::Time(_))
            | (TypeSpecification::Measure { .. }, ValueKind::Measure(_))
            | (
                TypeSpecification::Measure { .. },
                ValueKind::UnscaledMeasure { .. }
            )
            | (TypeSpecification::Ratio { .. }, ValueKind::Ratio(_))
            | (
                TypeSpecification::NumberRange { .. },
                ValueKind::Range(_, _)
            )
            | (TypeSpecification::DateRange { .. }, ValueKind::Range(_, _))
            | (TypeSpecification::TimeRange { .. }, ValueKind::Range(_, _))
            | (TypeSpecification::RatioRange { .. }, ValueKind::Range(_, _))
            | (
                TypeSpecification::MeasureRange { .. },
                ValueKind::Range(_, _)
            )
            | (TypeSpecification::Veto { .. }, _)
            | (TypeSpecification::Undetermined, _)
            | (TypeSpecification::Spec { .. }, ValueKind::Spec(_))
            | (TypeSpecification::List { .. }, ValueKind::List(_))
    )
}

fn parser_value_type_mismatch(
    value: &crate::literals::Value,
    type_spec: &TypeSpecification,
) -> String {
    use crate::parsing::ast::AsLemmaSource;
    let value_str = format!("{}", AsLemmaSource(value));
    match type_spec {
        TypeSpecification::Measure { units, .. } => {
            let unit_hint = units
                .iter()
                .find(|u| u.is_canonical_factor())
                .map(|u| u.name.as_str())
                .or_else(|| units.iter().next().map(|u| u.name.as_str()))
                .unwrap_or("unit");
            format!("cannot use {value_str} as {type_spec}: expected `<n> {unit_hint}`")
        }
        TypeSpecification::Ratio { units, .. } if !units.is_empty() => {
            let unit_hint = units
                .iter()
                .next()
                .map(|u| u.name.as_str())
                .unwrap_or("unit");
            format!("cannot use {value_str} as {type_spec}: expected `<n> {unit_hint}`")
        }
        _ => format!("cannot use {value_str} as {type_spec}"),
    }
}

/// Re-canonicalize a measure literal after compound unit factors were resolved.
///
/// Literals parsed before derived unit resolution were canonicalized with prefix-only
/// factors; multiply by `resolved_factor / stored_factor` to align with final factors.
pub fn refresh_measure_literal_canonical_magnitude(
    lit: &mut LiteralValue,
    previous_type: &LemmaType,
    resolved_type: &LemmaType,
) -> Result<(), crate::computation::rational::NumericFailure> {
    use crate::computation::rational::{checked_div, checked_mul};
    let ValueKind::Measure(magnitude) = &mut lit.value else {
        if matches!(lit.value, ValueKind::UnscaledMeasure { .. }) {
            return Ok(());
        }
        return Ok(());
    };
    // Binding unit is no longer on ValueKind; magnitude was canonicalized at bind time
    // against the then-current unit table. When a single-term runtime signature unit
    // exists on both tables, rescale if that unit's factor changed.
    let signature = previous_type.measure_runtime_signature();
    let Some((unit_name, 1)) = signature.first().map(|(n, e)| (n.as_str(), *e)) else {
        return Ok(());
    };
    if signature.len() != 1 {
        return Ok(());
    }
    let stored_factor = previous_type.measure_unit_factor(unit_name);
    let resolved_factor = resolved_type.measure_unit_factor(unit_name);
    if stored_factor == resolved_factor {
        return Ok(());
    }
    let scaled = checked_mul(magnitude, resolved_factor)?;
    *magnitude = checked_div(&scaled, stored_factor)?;
    Ok(())
}

fn number_with_unit_value_kind(
    magnitude: rust_decimal::Decimal,
    unit_name: &str,
    type_spec: &TypeSpecification,
) -> Result<ValueKind, String> {
    use crate::computation::rational::{checked_div, checked_mul, decimal_to_rational};
    match type_spec {
        TypeSpecification::Ratio { units, .. } => {
            let unit = units.get(unit_name)?;
            let magnitude_rational = decimal_to_rational(magnitude)
                .map_err(|failure| format!("ratio literal failed rational lift: {failure}"))?;
            let canonical_rational = checked_div(&magnitude_rational, &unit.value)
                .map_err(|failure| format!("ratio literal: unit conversion failed: {failure}"))?;
            Ok(ValueKind::Ratio(canonical_rational))
        }
        TypeSpecification::Measure { units, .. } => {
            let rational = lift_parser_decimal(magnitude)?;
            let unit = units.get(unit_name)?;
            match unit.literal_factor() {
                Some(factor) => {
                    let canonical = checked_mul(&rational, factor).map_err(|failure| {
                        format!("measure canonicalization overflow: {failure}")
                    })?;
                    Ok(ValueKind::Measure(canonical))
                }
                None => Ok(ValueKind::UnscaledMeasure {
                    magnitude: rational,
                    unit: Arc::from(unit_name),
                }),
            }
        }
        _ => Err("number_with_unit literal requires a measure or ratio type".to_string()),
    }
}

/// Convert a non-range parser [`Value`] to [`ValueKind`] using the target type.
///
/// Range values must go through [`parser_value_to_value_kind`] so endpoints use
/// [`lift_range_endpoint`]. Kept separate so that helper cannot re-enter the Range arm.
fn parser_scalar_to_value_kind(
    value: &crate::literals::Value,
    type_spec: &TypeSpecification,
) -> Result<ValueKind, String> {
    use crate::literals::Value;
    match (value, type_spec) {
        (Value::NumberWithUnit(magnitude, unit_name), _) => {
            number_with_unit_value_kind(*magnitude, unit_name, type_spec)
        }
        (Value::Number(n), TypeSpecification::Number { .. }) => {
            Ok(ValueKind::Number(lift_parser_decimal(*n)?))
        }
        (Value::Text(s), TypeSpecification::Text { .. }) => {
            Ok(ValueKind::Text(Arc::from(s.as_str())))
        }
        (Value::Boolean(b), TypeSpecification::Boolean { .. }) => Ok(ValueKind::Boolean(b.into())),
        (Value::Date(dt), TypeSpecification::Date { .. }) => {
            Ok(ValueKind::Date(date_time_to_semantic(dt)))
        }
        (Value::Time(t), TypeSpecification::Time { .. }) => {
            Ok(ValueKind::Time(time_to_semantic(t)))
        }
        (value, type_spec) => Err(parser_value_type_mismatch(value, type_spec)),
    }
}

/// Convert parser [`Value`] to [`ValueKind`] using the target type (canonicalizes ratio at bind).
///
/// When `resolve_unit` is set, qualified range-endpoint unit tokens are resolved to bare
/// declared names before bind. Measure and ratio range endpoints keep `lemma_type`'s family
/// via [`LemmaType::range_element_type`].
pub fn parser_value_to_value_kind(
    value: &crate::literals::Value,
    lemma_type: &LemmaType,
    resolve_unit: Option<&UnitTokenResolver<'_>>,
) -> Result<ValueKind, String> {
    use crate::literals::Value;
    match (value, &lemma_type.specifications) {
        (
            Value::Range(left, right),
            TypeSpecification::NumberRange { .. }
            | TypeSpecification::DateRange { .. }
            | TypeSpecification::TimeRange { .. }
            | TypeSpecification::RatioRange { .. }
            | TypeSpecification::MeasureRange { .. },
        ) => {
            let endpoint = match &lemma_type.specifications {
                TypeSpecification::MeasureRange { .. } | TypeSpecification::RatioRange { .. } => {
                    lemma_type.range_element_type()
                }
                other => Arc::new(LemmaType::primitive(
                    range_element_type_specification(other).expect(
                        "BUG: range_element_type_specification missing arm for known range type",
                    ),
                )),
            };
            let left_lit = lift_range_endpoint(left, endpoint.as_ref(), resolve_unit)?;
            let right_lit = lift_range_endpoint(right, endpoint.as_ref(), resolve_unit)?;
            Ok(ValueKind::Range(Box::new(left_lit), Box::new(right_lit)))
        }
        (value, type_spec) => parser_scalar_to_value_kind(value, type_spec),
    }
}

/// Read a parsed Lemma literal as a value of `lemma_type`, keeping the written unit.
pub(crate) fn typed_literal_from_parsed(
    parsed: &crate::literals::Value,
    lemma_type: &Arc<LemmaType>,
    unit_index: &UnitIndex,
    named_types: &IndexMap<String, Arc<LemmaType>>,
) -> Result<TypedLiteral, String> {
    let resolve = UnitTokenResolver::Typed {
        unit_index,
        named_types,
        lemma_type: lemma_type.as_ref(),
    };
    let kind = parser_value_to_value_kind(parsed, lemma_type.as_ref(), Some(&resolve))?;
    let binding = match binding_unit_from_parser_value(parsed) {
        Some(written) => Some(resolve.resolve(&written)?),
        None => None,
    };
    Ok(typed_literal_with_binding_unit(kind, binding, lemma_type))
}

pub(crate) fn typed_literal_with_binding_unit(
    kind: ValueKind,
    binding_unit: Option<String>,
    lemma_type: &Arc<LemmaType>,
) -> TypedLiteral {
    let typed_type = match binding_unit {
        Some(unit)
            if matches!(
                &lemma_type.specifications,
                TypeSpecification::Measure { .. } | TypeSpecification::Ratio { .. }
            ) =>
        {
            Arc::new(lemma_type.as_ref().clone().with_unit(unit))
        }
        Some(_) | None => Arc::clone(lemma_type),
    };
    TypedLiteral {
        value: kind,
        lemma_type: typed_type,
    }
}

fn binding_unit_from_parser_value(value: &crate::literals::Value) -> Option<String> {
    use crate::literals::Value;
    match value {
        Value::NumberWithUnit(_, unit) => Some(unit.clone()),
        Value::Range(left, right) => match (left.as_ref(), right.as_ref()) {
            (Value::NumberWithUnit(_, left_unit), Value::NumberWithUnit(_, right_unit))
                if left_unit == right_unit =>
            {
                Some(left_unit.clone())
            }
            _ => None,
        },
        _ => None,
    }
}

/// Convert parser Value to ValueKind for primitives and ranges only.
///
/// [`Value::NumberWithUnit`] requires [`parser_value_to_value_kind`] with a measure or ratio type.
pub fn value_to_semantic(value: &crate::parsing::ast::Value) -> Result<ValueKind, String> {
    use crate::parsing::ast::Value;
    Ok(match value {
        Value::Number(n) => ValueKind::Number(lift_parser_decimal(*n)?),
        Value::Text(s) => ValueKind::Text(Arc::from(s.as_str())),
        Value::Boolean(b) => ValueKind::Boolean(bool::from(*b)),
        Value::Date(dt) => ValueKind::Date(date_time_to_semantic(dt)),
        Value::Time(t) => ValueKind::Time(time_to_semantic(t)),
        Value::NumberWithUnit(_, _) => {
            return Err(
                "number_with_unit literal requires type context (measure or ratio)".to_string(),
            );
        }
        Value::Range(_, _) => literal_value_from_parser_value(value)?.value,
    })
}

/// Convert AST date-time to semantic (for tests and planning).
pub(crate) fn date_time_to_semantic(dt: &crate::parsing::ast::DateTimeValue) -> SemanticDateTime {
    SemanticDateTime {
        year: dt.year,
        month: dt.month,
        day: dt.day,
        hour: dt.hour,
        minute: dt.minute,
        second: dt.second,
        microsecond: dt.microsecond,
        timezone: dt.timezone.as_ref().map(SemanticTimezone::from),
    }
}

/// Project a date's clock fields to a time-of-day (date-only values yield midnight).
pub(crate) fn semantic_date_as_time(date: &SemanticDateTime) -> SemanticTime {
    SemanticTime {
        hour: date.hour,
        minute: date.minute,
        second: date.second,
        microsecond: date.microsecond,
        timezone: date.timezone.clone(),
    }
}

/// Convert AST time to semantic (for tests and planning).
pub(crate) fn time_to_semantic(t: &crate::parsing::ast::TimeValue) -> SemanticTime {
    SemanticTime {
        hour: t.hour.into(),
        minute: t.minute.into(),
        second: t.second.into(),
        microsecond: t.microsecond,
        timezone: t.timezone.as_ref().map(SemanticTimezone::from),
    }
}

/// Compare two semantic date-time values by year, month, day, hour, minute,
/// second, then microsecond. Timezone normalisation is a separate concern
/// handled at evaluation time.
pub(crate) fn compare_semantic_dates(
    left: &SemanticDateTime,
    right: &SemanticDateTime,
) -> std::cmp::Ordering {
    left.year
        .cmp(&right.year)
        .then_with(|| left.month.cmp(&right.month))
        .then_with(|| left.day.cmp(&right.day))
        .then_with(|| left.hour.cmp(&right.hour))
        .then_with(|| left.minute.cmp(&right.minute))
        .then_with(|| left.second.cmp(&right.second))
        .then_with(|| left.microsecond.cmp(&right.microsecond))
}

/// Compare two semantic time values by hour, minute, second, then microsecond.
/// Timezone is excluded for the same reason as [`compare_semantic_dates`].
pub(crate) fn compare_semantic_times(
    left: &SemanticTime,
    right: &SemanticTime,
) -> std::cmp::Ordering {
    left.hour
        .cmp(&right.hour)
        .then_with(|| left.minute.cmp(&right.minute))
        .then_with(|| left.second.cmp(&right.second))
        .then_with(|| left.microsecond.cmp(&right.microsecond))
}

/// Convert AST conversion target to semantic (planning boundary; evaluation/computation use only semantic).
pub fn conversion_target_to_semantic(
    ct: &ConversionTarget,
    unit_index: Option<&crate::planning::unit_index::UnitIndex>,
    resolved_types: Option<&IndexMap<String, Arc<LemmaType>>>,
) -> Result<SemanticConversionTarget, String> {
    match ct {
        ConversionTarget::Type(kind) => Ok(SemanticConversionTarget::Type(*kind)),
        ConversionTarget::Unit { unit_name } => {
            let index = unit_index.ok_or_else(|| format!("Unknown unit '{unit_name}'."))?;
            let (bare, owning_type) = match resolved_types {
                Some(resolved) => index.resolve_with_named_types(unit_name, resolved)?,
                None => index.resolve(unit_name)?,
            };
            Ok(SemanticConversionTarget::Unit {
                unit_name: bare,
                owning_type,
            })
        }
    }
}

// -----------------------------------------------------------------------------
// Primitive type constructors (moved from parsing::ast)
// -----------------------------------------------------------------------------

// Statics for lazy initialization of production-used primitive types.
static PRIMITIVE_BOOLEAN: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_NUMBER: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_TEXT: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_DATE: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_DATE_RANGE: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_TIME: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_RATIO: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_MEASURE: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_MEASURE_RANGE: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_NUMBER_RANGE: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_RATIO_RANGE: OnceLock<Arc<LemmaType>> = OnceLock::new();
static PRIMITIVE_TIME_RANGE: OnceLock<Arc<LemmaType>> = OnceLock::new();

#[must_use]
pub fn primitive_boolean_arc() -> &'static Arc<LemmaType> {
    lemma_type_for_primitive(PrimitiveKind::Boolean)
}

#[must_use]
pub fn primitive_number_arc() -> &'static Arc<LemmaType> {
    lemma_type_for_primitive(PrimitiveKind::Number)
}

#[must_use]
pub fn primitive_text_arc() -> &'static Arc<LemmaType> {
    lemma_type_for_primitive(PrimitiveKind::Text)
}

#[must_use]
pub fn primitive_date_arc() -> &'static Arc<LemmaType> {
    lemma_type_for_primitive(PrimitiveKind::Date)
}

#[must_use]
pub fn primitive_date_range_arc() -> &'static Arc<LemmaType> {
    lemma_type_for_primitive(PrimitiveKind::DateRange)
}

#[must_use]
pub fn primitive_time_arc() -> &'static Arc<LemmaType> {
    lemma_type_for_primitive(PrimitiveKind::Time)
}

#[must_use]
pub fn primitive_ratio_arc() -> &'static Arc<LemmaType> {
    lemma_type_for_primitive(PrimitiveKind::Ratio)
}

/// Singleton primitive `LemmaType` for `kind`. Same `Arc` for the same primitive for the process.
#[must_use]
pub fn lemma_type_for_primitive(kind: PrimitiveKind) -> &'static Arc<LemmaType> {
    let cell = match kind {
        PrimitiveKind::Boolean => &PRIMITIVE_BOOLEAN,
        PrimitiveKind::Number => &PRIMITIVE_NUMBER,
        PrimitiveKind::Text => &PRIMITIVE_TEXT,
        PrimitiveKind::Date => &PRIMITIVE_DATE,
        PrimitiveKind::DateRange => &PRIMITIVE_DATE_RANGE,
        PrimitiveKind::Time => &PRIMITIVE_TIME,
        PrimitiveKind::Ratio => &PRIMITIVE_RATIO,
        PrimitiveKind::Measure => &PRIMITIVE_MEASURE,
        PrimitiveKind::MeasureRange => &PRIMITIVE_MEASURE_RANGE,
        PrimitiveKind::NumberRange => &PRIMITIVE_NUMBER_RANGE,
        PrimitiveKind::RatioRange => &PRIMITIVE_RATIO_RANGE,
        PrimitiveKind::TimeRange => &PRIMITIVE_TIME_RANGE,
    };
    cell.get_or_init(|| Arc::new(LemmaType::primitive(type_spec_for_primitive(kind))))
}

/// Map PrimitiveKind to TypeSpecification. Single source of truth for primitive type resolution.
#[must_use]
pub fn type_spec_for_primitive(kind: PrimitiveKind) -> TypeSpecification {
    match kind {
        PrimitiveKind::Boolean => TypeSpecification::boolean(),
        PrimitiveKind::Measure => TypeSpecification::measure(),
        PrimitiveKind::MeasureRange => TypeSpecification::measure_range(),
        PrimitiveKind::Number => TypeSpecification::number(),
        PrimitiveKind::NumberRange => TypeSpecification::number_range(),
        PrimitiveKind::Ratio => TypeSpecification::ratio(),
        PrimitiveKind::RatioRange => TypeSpecification::ratio_range(),
        PrimitiveKind::Text => TypeSpecification::text(),
        PrimitiveKind::Date => TypeSpecification::date(),
        PrimitiveKind::DateRange => TypeSpecification::date_range(),
        PrimitiveKind::Time => TypeSpecification::time(),
        PrimitiveKind::TimeRange => TypeSpecification::time_range(),
    }
}

// -----------------------------------------------------------------------------
// Display implementations
// -----------------------------------------------------------------------------

impl fmt::Display for PathSegment {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        let hop = self.input_key();
        match &self.repository {
            Some(repository) => write!(f, "{hop} → {} {}", repository, self.spec),
            None => write!(f, "{hop} → {}", self.spec),
        }
    }
}

impl fmt::Display for DataPath {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{}", self.input_key())
    }
}

impl fmt::Display for RulePath {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{}", self.input_key())
    }
}

impl fmt::Display for LemmaType {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{}", self.name())
    }
}

pub(crate) fn format_decimal_for_api(decimal: rust_decimal::Decimal) -> rust_decimal::Decimal {
    let normalized = decimal.normalize();
    if normalized.fract().is_zero() {
        normalized.trunc()
    } else {
        normalized
    }
}

fn format_decimal_for_human_display(decimal: rust_decimal::Decimal) -> String {
    decimal.normalize().to_string()
}

fn format_rational_for_human_display(
    magnitude: &crate::computation::rational::RationalInteger,
) -> String {
    match magnitude.try_to_decimal() {
        Ok(decimal) => format_decimal_for_human_display(decimal),
        Err(crate::computation::rational::NumericFailure::Overflow) => magnitude.display_str(),
        Err(_) => magnitude.display_str(),
    }
}

/// Whether any declared unit of this measure family has a known factor (literal or
/// settled / carried in `runtime_scales`).
pub(crate) fn measure_family_has_expressible_unit(
    lemma_type: &LemmaType,
    runtime_scales: Option<&HashMap<String, crate::computation::rational::RationalInteger>>,
) -> bool {
    let Some(units) = lemma_type.measure_units_table() else {
        return true;
    };
    if units.is_empty() {
        return true;
    }
    units.iter().any(|unit| {
        unit.literal_factor().is_some()
            || runtime_scales.is_some_and(|scales| scales.contains_key(&unit.name))
    })
}

fn measure_display_unit<'a>(
    units: &'a crate::literals::MeasureUnits,
    lemma_type: &LemmaType,
    runtime_scales: Option<&HashMap<String, crate::computation::rational::RationalInteger>>,
) -> &'a crate::literals::MeasureUnit {
    let factor_known = |unit: &crate::literals::MeasureUnit| {
        unit.literal_factor().is_some()
            || runtime_scales.is_some_and(|scales| scales.contains_key(&unit.name))
    };
    if let Some(binding) = lemma_type.unit() {
        let unit = units
            .iter()
            .find(|unit| unit.name == binding)
            .unwrap_or_else(|| {
                panic!(
                    "BUG: measure display binding '{binding}' is not a declared unit on type {}",
                    lemma_type.name()
                )
            });
        if factor_known(unit) {
            return unit;
        }
    }
    units
        .iter()
        .find(|unit| unit.is_canonical_factor() && factor_known(unit))
        .or_else(|| {
            units
                .iter()
                .find(|unit| unit.literal_factor().is_some() && factor_known(unit))
        })
        .or_else(|| units.iter().find(|unit| factor_known(unit)))
        .unwrap_or_else(|| {
            panic!(
                "BUG: measure display of '{}' reached with no factor-known unit; callers must veto first",
                lemma_type.name()
            )
        })
}

fn format_measure_canonical_for_display(
    canonical: &crate::computation::rational::RationalInteger,
    lemma_type: &LemmaType,
    signature: &[(String, i32)],
    runtime_scales: Option<&HashMap<String, crate::computation::rational::RationalInteger>>,
) -> String {
    use crate::computation::rational::checked_div;

    if let TypeSpecification::Measure { units, .. } = &lemma_type.specifications {
        if !units.is_empty() {
            let unit = measure_display_unit(units, lemma_type, runtime_scales);
            let factor = unit
                .literal_factor()
                .cloned()
                .or_else(|| {
                    runtime_scales.and_then(|scales| scales.get(&unit.name).cloned())
                })
                .unwrap_or_else(|| {
                    panic!(
                        "BUG: display of unit '{}' on {} requires a literal factor or a settled runtime scale",
                        unit.name,
                        lemma_type.name()
                    )
                });
            let in_unit = checked_div(canonical, &factor)
                .expect("BUG: de-canonicalization for measure display must not fail");
            return format_number_with_unit_for_display(&in_unit, &unit.name);
        }
    }

    let unit_label = match signature {
        [] => String::new(),
        [(name, 1)] => name.clone(),
        _ => format_signature_operator_style(signature),
    };
    let formatted = format_rational_for_human_display(canonical);
    if unit_label.is_empty() {
        formatted
    } else {
        format!("{formatted} {unit_label}")
    }
}

fn format_ratio_canonical_for_display(
    canonical: &crate::computation::rational::RationalInteger,
    lemma_type: &LemmaType,
) -> String {
    use crate::computation::rational::checked_mul;

    let units = match &lemma_type.specifications {
        TypeSpecification::Ratio { units, .. } | TypeSpecification::RatioRange { units, .. } => {
            units
        }
        _ => unreachable!(
            "BUG: ratio display with non-ratio type {}",
            lemma_type.name()
        ),
    };
    let display_unit = lemma_type
        .unit()
        .or_else(|| lemma_type.ratio_primary_unit());
    let Some(unit_name) = display_unit else {
        return format_rational_magnitude_for_display(canonical);
    };
    let unit = units.get(unit_name).unwrap_or_else(|_| {
        panic!(
            "BUG: ratio display unit '{unit_name}' is not declared on type {}",
            lemma_type.name()
        )
    });
    let in_unit = checked_mul(canonical, &unit.value)
        .expect("BUG: de-canonicalization for ratio display must not fail");
    format_number_with_unit_for_display(&in_unit, unit_name)
}

impl fmt::Display for LiteralValue {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        // Measure/ratio display needs an explicit type; callers must use
        // `display_value_with_type`. Bare Display only covers type-free kinds and
        // ranges of those kinds.
        match &self.value {
            ValueKind::Measure(_) | ValueKind::Ratio(_) => {
                write!(f, "{}", self.value)
            }
            ValueKind::Range(left, right) => write!(f, "{}...{}", left, right),
            _ => write!(f, "{}", self.value),
        }
    }
}

// -----------------------------------------------------------------------------
// Tests
// -----------------------------------------------------------------------------

#[cfg(test)]
pub(crate) mod tests {
    use super::*;
    use crate::computation::rational::decimal_to_rational;
    use crate::literals::DateGranularity;
    use crate::literals::Value;
    use crate::parsing::ast::{BooleanValue, DateTimeValue, PrimitiveKind, TimeValue};
    use rust_decimal::Decimal;
    use std::str::FromStr;

    fn meter_axis(exponent: i32) -> BaseMeasureVector {
        [(Dimension::Family(test_type_family("meter")), exponent)]
            .into_iter()
            .collect()
    }

    #[test]
    fn scale_decomposition_exponent_one_is_identity() {
        let base = meter_axis(1);
        assert_eq!(scale_decomposition(&base, 1), Some(base));
    }

    #[test]
    fn scale_decomposition_squares_meter() {
        assert_eq!(scale_decomposition(&meter_axis(1), 2), Some(meter_axis(2)));
    }

    #[test]
    fn scale_decomposition_zero_is_empty() {
        assert_eq!(
            scale_decomposition(&meter_axis(1), 0),
            Some(BaseMeasureVector::new())
        );
    }

    #[test]
    fn scale_decomposition_negative_inverts_meter() {
        assert_eq!(
            scale_decomposition(&meter_axis(1), -1),
            Some(meter_axis(-1))
        );
    }

    #[test]
    fn scale_decomposition_at_exponent_cap() {
        assert_eq!(
            scale_decomposition(&meter_axis(32), 2),
            Some(meter_axis(64))
        );
    }

    #[test]
    fn scale_decomposition_past_exponent_cap_is_none() {
        assert_eq!(scale_decomposition(&meter_axis(1), 65), None);
        assert_eq!(scale_decomposition(&meter_axis(32), 3), None);
    }

    #[must_use]
    pub(crate) fn test_type_family(name: &str) -> TypeFamily {
        TypeFamily {
            repository: None,
            spec: "test".to_string(),
            effective: crate::parsing::ast::EffectiveDate::Origin,
            name: name.to_string(),
        }
    }

    #[must_use]
    pub(crate) fn primitive_measure_arc() -> &'static Arc<LemmaType> {
        crate::planning::semantics::lemma_type_for_primitive(PrimitiveKind::Measure)
    }

    #[must_use]
    pub(crate) fn primitive_measure() -> &'static LemmaType {
        primitive_measure_arc().as_ref()
    }

    #[test]
    fn default_primitive_help_is_goal_oriented() {
        let kinds = [
            PrimitiveKind::Boolean,
            PrimitiveKind::Measure,
            PrimitiveKind::MeasureRange,
            PrimitiveKind::Number,
            PrimitiveKind::NumberRange,
            PrimitiveKind::Ratio,
            PrimitiveKind::RatioRange,
            PrimitiveKind::Text,
            PrimitiveKind::Date,
            PrimitiveKind::DateRange,
            PrimitiveKind::Time,
            PrimitiveKind::TimeRange,
        ];
        for kind in kinds {
            let spec = type_spec_for_primitive(kind);
            let help = match &spec {
                TypeSpecification::Boolean { help, .. }
                | TypeSpecification::Number { help, .. }
                | TypeSpecification::NumberRange { help, .. }
                | TypeSpecification::Text { help, .. }
                | TypeSpecification::Measure { help, .. }
                | TypeSpecification::MeasureRange { help, .. }
                | TypeSpecification::Ratio { help, .. }
                | TypeSpecification::RatioRange { help, .. }
                | TypeSpecification::Date { help, .. }
                | TypeSpecification::DateRange { help, .. }
                | TypeSpecification::TimeRange { help, .. }
                | TypeSpecification::Time { help, .. } => help,
                TypeSpecification::Veto { .. }
                | TypeSpecification::Undetermined
                | TypeSpecification::Spec { .. }
                | TypeSpecification::List { .. } => {
                    unreachable!(
                        "BUG: primitive kind {:?} mapped to non-primitive spec",
                        kind
                    )
                }
            };
            assert!(!help.is_empty(), "help for {:?}", kind);
            assert!(
                !help.to_ascii_lowercase().contains("format:"),
                "help for {:?} must not describe syntax: {:?}",
                kind,
                help
            );
            assert_eq!(help, default_help_for_primitive(kind));
        }
    }

    #[test]
    fn data_path_and_rule_path_display_are_input_key() {
        let implicit = PathSegment {
            uses: Arc::from("bag"),
            row: None,
            repository: None,
            spec: Arc::from("bag"),
        };
        let explicit = PathSegment {
            uses: Arc::from("bag"),
            row: None,
            repository: None,
            spec: Arc::from("item_bag"),
        };
        let named_repo = PathSegment {
            uses: Arc::from("calc"),
            row: None,
            repository: Some(Arc::from("alpha")),
            spec: Arc::from("pricing"),
        };
        let row = PathSegment {
            uses: Arc::from("staff"),
            row: Some(2),
            repository: None,
            spec: Arc::from("employee"),
        };

        assert_eq!(
            DataPath::new(vec![row.clone()], "salary".to_string()).to_string(),
            "staff.2.salary"
        );
        assert_eq!(
            RulePath::new(vec![row.clone()], "double".to_string()).to_string(),
            "staff.2.double"
        );
        assert_eq!(row.to_string(), "staff.2 → employee");
        assert_eq!(
            SpecInstance {
                prefix: vec![implicit.clone(), row]
            }
            .to_string(),
            "bag.staff.2"
        );
        assert_eq!(
            DataPath::new(vec![implicit.clone()], "weight".to_string()).to_string(),
            "bag.weight"
        );
        assert_eq!(
            DataPath::new(vec![explicit.clone()], "weight".to_string()).to_string(),
            "bag.weight"
        );
        assert_eq!(
            DataPath::new(vec![named_repo.clone()], "price".to_string()).to_string(),
            "calc.price"
        );
        assert_eq!(
            RulePath::new(vec![implicit], "cost".to_string()).to_string(),
            "bag.cost"
        );
        assert_eq!(
            RulePath::new(vec![explicit], "cost".to_string()).to_string(),
            "bag.cost"
        );
        assert_eq!(
            RulePath::new(vec![named_repo], "price".to_string()).to_string(),
            "calc.price"
        );

        assert_eq!(
            PathSegment {
                uses: Arc::from("bag"),
                row: None,
                repository: None,
                spec: Arc::from("item_bag"),
            }
            .to_string(),
            "bag → item_bag"
        );
        assert_eq!(
            PathSegment {
                uses: Arc::from("calc"),
                row: None,
                repository: Some(Arc::from("alpha")),
                spec: Arc::from("pricing"),
            }
            .to_string(),
            "calc → alpha pricing"
        );
    }

    #[test]
    fn test_negated_comparison() {
        assert_eq!(
            negated_comparison(ComparisonComputation::LessThan),
            ComparisonComputation::GreaterThanOrEqual
        );
        assert_eq!(
            negated_comparison(ComparisonComputation::GreaterThanOrEqual),
            ComparisonComputation::LessThan
        );
        assert_eq!(
            negated_comparison(ComparisonComputation::Is),
            ComparisonComputation::IsNot
        );
        assert_eq!(
            negated_comparison(ComparisonComputation::IsNot),
            ComparisonComputation::Is
        );
    }

    #[test]
    fn value_to_semantic_number_is_decimal() {
        let kind = value_to_semantic(&Value::Number(Decimal::from(42))).unwrap();
        assert!(matches!(kind, ValueKind::Number(d) if d == rational_new(42, 1)));
    }

    #[test]
    fn value_kind_measure_serializes_magnitude_only() {
        let kind =
            ValueKind::Measure(decimal_to_rational(Decimal::from_str("99.50").unwrap()).unwrap());
        let json = serde_json::to_value(crate::api::ValueKind::from(&kind)).unwrap();
        assert_eq!(json["measure"]["value"], "99.5");
        assert!(json["measure"].get("signature").is_none());
    }

    #[test]
    fn value_kind_measure_roundtrips() {
        let original =
            ValueKind::Measure(decimal_to_rational(Decimal::from_str("4800").unwrap()).unwrap());
        let api = crate::api::ValueKind::from(&original);
        let json = serde_json::to_string(&api).unwrap();
        let parsed: crate::api::ValueKind = serde_json::from_str(&json).unwrap();
        assert_eq!(api, parsed);
    }

    #[test]
    fn value_kind_measure_empty_roundtrips() {
        let original =
            ValueKind::Measure(decimal_to_rational(Decimal::from_str("12.5").unwrap()).unwrap());
        let api = crate::api::ValueKind::from(&original);
        let json = serde_json::to_string(&api).unwrap();
        let parsed: crate::api::ValueKind = serde_json::from_str(&json).unwrap();
        assert_eq!(api, parsed);
    }

    #[test]
    fn literal_value_number_serde_not_rational_array() {
        let lit = LiteralValue::number_from_decimal(Decimal::from(20));
        let json = serde_json::to_value(crate::api::LiteralValue::from(&lit)).unwrap();
        let number = json
            .get("value")
            .and_then(|v| v.get("number"))
            .expect("number field");
        assert!(number.is_string());
        assert_eq!(number.as_str(), Some("20"));
        assert!(
            !number.is_array(),
            "stored number must not serialize as [n,d]"
        );
    }

    #[test]
    fn test_literal_value_to_primitive_type() {
        let one = rational_new(1, 1);

        assert_eq!(TypedLiteral::text("".to_string()).lemma_type.name(), "text");
        assert_eq!(
            TypedLiteral::number(one.clone()).lemma_type.name(),
            "number"
        );
        assert_eq!(
            TypedLiteral::from_bool(bool::from(BooleanValue::True))
                .lemma_type
                .name(),
            "boolean"
        );

        let dt = DateTimeValue {
            year: 2024,
            month: 1,
            day: 1,
            hour: 0,
            minute: 0,
            second: 0,
            microsecond: 0,
            timezone: None,

            granularity: DateGranularity::Full,
        };
        assert_eq!(
            TypedLiteral::date(date_time_to_semantic(&dt))
                .lemma_type
                .name(),
            "date"
        );
        assert_eq!(
            TypedLiteral::ratio_from_decimal(Decimal::new(1, 2))
                .lemma_type
                .name(),
            "ratio"
        );
        let dur_type = LemmaType::new(
            "duration".to_string(),
            TypeSpecification::Measure {
                minimum: None,
                maximum: None,
                units: MeasureUnits::from(vec![MeasureUnit {
                    name: "second".to_string(),
                    scale: UnitScale::Literal(crate::computation::rational::rational_one()),
                    derived_measure_factors: Vec::new(),
                    decomposition: BaseMeasureVector::new(),
                    minimum: None,
                    maximum: None,
                    suggestion_magnitude: None,
                }]),
                traits: vec![MeasureTrait::Duration],
                decomposition: None,
                unit: None,
                help: String::new(),
            },
            TypeExtends::Primitive,
        );
        assert_eq!(
            TypedLiteral::measure_with_type(one.clone(), Arc::new(dur_type))
                .lemma_type
                .name(),
            "duration"
        );
    }

    #[test]
    fn test_type_display() {
        let specs = TypeSpecification::text();
        let lemma_type = LemmaType::new("name".to_string(), specs, TypeExtends::Primitive);
        assert_eq!(format!("{}", lemma_type), "name");
    }

    #[test]
    fn test_type_serialization() {
        let specs = TypeSpecification::number();
        let lemma_type = LemmaType::new("dice".to_string(), specs, TypeExtends::Primitive);
        let api = crate::api::LemmaType::from(&lemma_type);
        let serialized = serde_json::to_string(&api).unwrap();
        let deserialized: crate::api::LemmaType = serde_json::from_str(&serialized).unwrap();
        assert_eq!(api, deserialized);
    }

    #[test]
    fn empty_list_display_value_with_type_is_type_spec() {
        let element = Arc::new(LemmaType::new(
            "item".to_string(),
            TypeSpecification::Spec {
                spec: SpecIdentity {
                    repository: None,
                    spec: "item".to_string(),
                    effective: crate::parsing::ast::EffectiveDate::Origin,
                    slice: crate::parsing::ast::EffectiveDate::Origin,
                },
            },
            TypeExtends::Primitive,
        ));
        let list_ty = LemmaType::list_of(element);
        let empty = LiteralValue::new(ValueKind::List(Vec::new().into()));
        assert_eq!(empty.display_value_with_type(&list_ty), "item list");
        assert_eq!(empty.display_value(), "");
    }

    #[test]
    fn test_literal_value_display_value() {
        let ten = rational_new(10, 1);

        assert_eq!(
            LiteralValue::text("hello".to_string()).display_value(),
            "hello"
        );
        assert_eq!(LiteralValue::number(ten).display_value(), "10");
        assert_eq!(LiteralValue::from_bool(true).display_value(), "true");
        assert_eq!(LiteralValue::from_bool(false).display_value(), "false");

        // 0.10 ratio with "percent" binding displays as 10% (unit conversion applied)
        let ratio_ty = Arc::new(primitive_ratio_arc().as_ref().clone().with_unit("percent"));
        let ten_percent_ratio = LiteralValue::ratio(
            crate::literals::rational_from_parsed_decimal(Decimal::new(1, 1))
                .expect("ratio decimal"),
        );
        assert_eq!(
            ten_percent_ratio.display_value_with_type(ratio_ty.as_ref()),
            "10%"
        );

        let time = TimeValue {
            hour: 14,
            minute: 30,
            second: 0,
            microsecond: 0,
            timezone: None,
        };
        let time_display = LiteralValue::time(time_to_semantic(&time)).display_value();
        assert!(time_display.contains("14"));
        assert!(time_display.contains("30"));
    }

    #[test]
    fn test_measure_display_trims_trailing_zeros() {
        let money_type = LemmaType {
            name: Some("money".to_string()),
            specifications: TypeSpecification::Measure {
                minimum: None,
                maximum: None,
                units: MeasureUnits::from(vec![MeasureUnit {
                    name: "eur".to_string(),
                    scale: UnitScale::Literal(crate::computation::rational::rational_one()),
                    derived_measure_factors: Vec::new(),
                    decomposition: BaseMeasureVector::new(),
                    minimum: None,
                    maximum: None,
                    suggestion_magnitude: None,
                }]),
                traits: Vec::new(),
                decomposition: None,
                unit: None,
                help: String::new(),
            },
            extends: TypeExtends::Primitive,
            options: TypeOptions::default(),
        };
        let money_type = Arc::new(money_type);
        let val =
            LiteralValue::measure(decimal_to_rational(Decimal::from_str("1.8").unwrap()).unwrap());
        assert_eq!(val.display_value_with_type(money_type.as_ref()), "1.8 eur");
        let more_precision = LiteralValue::measure(
            decimal_to_rational(Decimal::from_str("1.80000").unwrap()).unwrap(),
        );
        assert_eq!(
            more_precision.display_value_with_type(money_type.as_ref()),
            "1.8 eur"
        );
        let count_type = Arc::new(LemmaType {
            name: Some("count".to_string()),
            specifications: TypeSpecification::Measure {
                minimum: None,
                maximum: None,
                units: MeasureUnits::from(vec![MeasureUnit {
                    name: "items".to_string(),
                    scale: UnitScale::Literal(crate::computation::rational::rational_one()),
                    derived_measure_factors: Vec::new(),
                    decomposition: BaseMeasureVector::new(),
                    minimum: None,
                    maximum: None,
                    suggestion_magnitude: None,
                }]),
                traits: Vec::new(),
                decomposition: None,
                unit: None,
                help: String::new(),
            },
            extends: TypeExtends::Primitive,
            options: TypeOptions::default(),
        });
        let val_any = LiteralValue::measure(
            decimal_to_rational(Decimal::from_str("42.50").unwrap()).unwrap(),
        );
        assert_eq!(
            val_any.display_value_with_type(count_type.as_ref()),
            "42.5 items"
        );
    }

    #[test]
    fn test_literal_value_time_type() {
        let time = TimeValue {
            hour: 14,
            minute: 30,
            second: 0,
            microsecond: 0,
            timezone: None,
        };
        let lit = TypedLiteral::time(time_to_semantic(&time));
        assert_eq!(lit.lemma_type.name(), "time");
    }

    #[test]
    fn test_measure_family_name_none_without_declaring_spec() {
        let money_primitive = LemmaType::new(
            "money".to_string(),
            TypeSpecification::measure(),
            TypeExtends::Primitive,
        );
        assert_eq!(money_primitive.measure_family_name(), None);
    }

    #[test]
    fn test_measure_family_name_custom() {
        let measure_spec = TypeSpecification::measure();
        let money_custom = LemmaType::new(
            "money".to_string(),
            measure_spec,
            TypeExtends::custom_local("money".to_string(), test_type_family("money")),
        );
        assert_eq!(money_custom.measure_family_name(), Some("money"));
    }

    #[test]
    fn test_same_named_roots_in_different_specs_are_different_families() {
        let declared_in = |spec: &str| TypeFamily {
            repository: None,
            spec: spec.to_string(),
            effective: crate::parsing::ast::EffectiveDate::Origin,
            name: "money".to_string(),
        };
        let pricing_money = LemmaType::new(
            "money".to_string(),
            TypeSpecification::measure(),
            TypeExtends::custom_local("measure".to_string(), declared_in("pricing")),
        );
        let shop_money = LemmaType::new(
            "money".to_string(),
            TypeSpecification::measure(),
            TypeExtends::custom_local("measure".to_string(), declared_in("shop")),
        );
        assert!(!pricing_money.same_measure_family(&shop_money));
        assert!(!shop_money.same_measure_family(&pricing_money));
    }

    #[test]
    fn test_same_measure_family_parent_and_child() {
        let measure_spec = TypeSpecification::measure();
        let type_x = LemmaType::new(
            "x".to_string(),
            measure_spec.clone(),
            TypeExtends::custom_local("measure".to_string(), test_type_family("x")),
        );
        let type_x2 = LemmaType::new(
            "x2".to_string(),
            measure_spec,
            TypeExtends::custom_local("x".to_string(), test_type_family("x")),
        );
        assert_eq!(type_x.measure_family_name(), Some("x"));
        assert_eq!(type_x2.measure_family_name(), Some("x"));
        assert!(type_x.same_measure_family(&type_x2));
        assert!(type_x2.same_measure_family(&type_x));
    }

    #[test]
    fn test_same_measure_family_siblings() {
        let measure_spec = TypeSpecification::measure();
        let type_x2_a = LemmaType::new(
            "x2a".to_string(),
            measure_spec.clone(),
            TypeExtends::custom_local("x".to_string(), test_type_family("x")),
        );
        let type_x2_b = LemmaType::new(
            "x2b".to_string(),
            measure_spec,
            TypeExtends::custom_local("x".to_string(), test_type_family("x")),
        );
        assert!(type_x2_a.same_measure_family(&type_x2_b));
    }

    #[test]
    fn test_same_measure_family_different_families() {
        let measure_spec = TypeSpecification::measure();
        let money = LemmaType::new(
            "money".to_string(),
            measure_spec.clone(),
            TypeExtends::Primitive,
        );
        let temperature = LemmaType::new(
            "temperature".to_string(),
            measure_spec,
            TypeExtends::Primitive,
        );
        assert!(!money.same_measure_family(&temperature));
        assert!(!temperature.same_measure_family(&money));
    }

    #[test]
    fn test_same_measure_family_measure_vs_non_measure() {
        let measure_spec = TypeSpecification::measure();
        let number_spec = TypeSpecification::number();
        let measure_type =
            LemmaType::new("money".to_string(), measure_spec, TypeExtends::Primitive);
        let number_type = LemmaType::new("amount".to_string(), number_spec, TypeExtends::Primitive);
        assert!(!measure_type.same_measure_family(&number_type));
        assert!(!number_type.same_measure_family(&measure_type));
    }

    #[test]
    fn test_same_measure_family_anonymous_measures_are_not_family_compatible() {
        let left = LemmaType::anonymous_for_decomposition(duration_decomposition());
        let right = LemmaType::anonymous_for_decomposition(duration_decomposition());

        assert!(!left.same_measure_family(&right));
        assert!(left.compatible_with_anonymous_measure(&right));
    }

    #[test]
    fn same_value_type_distinct_families_same_decomposition_are_not_same() {
        let decomp: BaseMeasureVector = [
            (Dimension::Family(test_type_family("length")), 1i32),
            (Dimension::Family(test_type_family("elapsed")), -1i32),
        ]
        .into_iter()
        .collect();
        let speed_spec = |name: &str, family: &str| {
            let mut spec = TypeSpecification::measure();
            if let TypeSpecification::Measure {
                decomposition,
                help,
                ..
            } = &mut spec
            {
                *decomposition = Some(decomp.clone());
                *help = String::new();
            }
            LemmaType::new(
                name.to_string(),
                spec,
                TypeExtends::custom_local("measure".to_string(), test_type_family(family)),
            )
        };
        let speed_a = speed_spec("speed_a", "speed_a");
        let speed_b = speed_spec("speed_b", "speed_b");
        assert_eq!(
            speed_a.measure_type_decomposition(),
            speed_b.measure_type_decomposition()
        );
        assert!(!speed_a.same_measure_family(&speed_b));
        assert!(
            !speed_a.same_value_type(&speed_b),
            "same decomposition alone must not make distinct measure families same_value_type"
        );
    }

    #[test]
    fn test_measure_family_name_non_measure_returns_none() {
        let number_spec = TypeSpecification::number();
        let number_type = LemmaType::new("amount".to_string(), number_spec, TypeExtends::Primitive);
        assert_eq!(number_type.measure_family_name(), None);
    }

    #[test]
    fn test_lemma_type_inequality_local_vs_import_same_shape() {
        let measure_spec = TypeSpecification::measure();
        let local = LemmaType::new(
            "t".to_string(),
            measure_spec.clone(),
            TypeExtends::custom_local("money".to_string(), test_type_family("money")),
        );
        let imported = LemmaType::new(
            "t".to_string(),
            measure_spec,
            TypeExtends::Custom {
                parent: "money".to_string(),
                family: test_type_family("money"),
                defining_spec: TypeDefiningSpec::Import,
            },
        );
        assert_ne!(local, imported);
    }

    #[test]
    fn test_lemma_type_equality_import_unit_variant() {
        let measure_spec = TypeSpecification::measure();
        let left = LemmaType::new(
            "t".to_string(),
            measure_spec.clone(),
            TypeExtends::Custom {
                parent: "money".to_string(),
                family: test_type_family("money"),
                defining_spec: TypeDefiningSpec::Import,
            },
        );
        let right = LemmaType::new(
            "t".to_string(),
            measure_spec,
            TypeExtends::Custom {
                parent: "money".to_string(),
                family: test_type_family("money"),
                defining_spec: TypeDefiningSpec::Import,
            },
        );
        assert_eq!(left, right);
    }

    fn month_suggestion_arg() -> CommandArg {
        CommandArg::Literal(crate::literals::Value::NumberWithUnit(
            Decimal::ONE,
            "month".to_string(),
        ))
    }

    fn unit_factor_arg(name: &str, factor: i64) -> [CommandArg; 2] {
        [
            CommandArg::Label(name.to_string()),
            CommandArg::UnitExpr(crate::parsing::ast::UnitArg::Factor(Decimal::from(factor))),
        ]
    }

    #[test]
    fn default_calendar_on_text_reports_hint() {
        let mut specs = TypeSpecification::text();
        let mut default = None;
        let err = specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "notes",
                    data_name: "notes",
                },
                TypeConstraintCommand::Suggest,
                &[month_suggestion_arg()],
                &mut default,
                &mut None,
                None,
            )
            .unwrap_err();
        assert!(err.contains("Unit 'month' is for calendar data"));
        assert!(err.contains("double quotes"));
    }

    #[test]
    fn default_calendar_on_duration_reports_valid_units() {
        let mut specs = TypeSpecification::measure();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("second", 1),
                &mut None,
                &mut None,
                None,
            )
            .unwrap();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("week", 604_800),
                &mut None,
                &mut None,
                None,
            )
            .unwrap();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Trait,
                &[CommandArg::Label("duration".to_string())],
                &mut None,
                &mut None,
                None,
            )
            .unwrap();
        let mut default = None;
        let err = specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Suggest,
                &[month_suggestion_arg()],
                &mut default,
                &mut None,
                None,
            )
            .unwrap_err();
        assert!(err.contains("Unit 'month' is for calendar data"));
        assert!(err.contains("Valid 'duration' units are"));
        assert!(err.contains("week"));
    }

    #[test]
    fn default_valid_duration_weeks_accepted() {
        let mut specs = TypeSpecification::measure();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("second", 1),
                &mut None,
                &mut None,
                None,
            )
            .unwrap();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("week", 604_800),
                &mut None,
                &mut None,
                None,
            )
            .unwrap();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Trait,
                &[CommandArg::Label("duration".to_string())],
                &mut None,
                &mut None,
                None,
            )
            .unwrap();
        let mut default = None;
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Suggest,
                &[CommandArg::Literal(crate::literals::Value::NumberWithUnit(
                    Decimal::from(4),
                    "week".to_string(),
                ))],
                &mut default,
                &mut None,
                None,
            )
            .unwrap();
        assert!(matches!(
            default,
            Some(RawSuggestion::Measure {
                unit_name,
                ..
            }) if unit_name == "week"
        ));
    }

    #[test]
    fn default_unknown_unit_on_duration_lists_valid_units() {
        let mut specs = TypeSpecification::measure();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("second", 1),
                &mut None,
                &mut None,
                None,
            )
            .unwrap();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Trait,
                &[CommandArg::Label("duration".to_string())],
                &mut None,
                &mut None,
                None,
            )
            .unwrap();
        let mut default = None;
        let err = specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "duration",
                    data_name: "duration",
                },
                TypeConstraintCommand::Suggest,
                &[CommandArg::Literal(crate::literals::Value::NumberWithUnit(
                    Decimal::ONE,
                    "fortnight".to_string(),
                ))],
                &mut default,
                &mut None,
                None,
            )
            .unwrap_err();
        assert!(err.contains("fortnight"));
        assert!(err.contains("not defined on 'duration'"));
        assert!(err.contains("Valid units are"));
    }

    fn money_measure_type() -> LemmaType {
        LemmaType::new(
            "Money".to_string(),
            TypeSpecification::Measure {
                minimum: None,
                maximum: None,
                units: MeasureUnits::from(vec![
                    MeasureUnit {
                        name: "eur".to_string(),
                        scale: UnitScale::Literal(crate::computation::rational::rational_one()),
                        derived_measure_factors: Vec::new(),
                        decomposition: BaseMeasureVector::new(),
                        minimum: None,
                        maximum: None,
                        suggestion_magnitude: None,
                    },
                    MeasureUnit {
                        name: "usd".to_string(),
                        scale: UnitScale::Literal(
                            crate::computation::rational::decimal_to_rational(Decimal::new(91, 2))
                                .expect("factor"),
                        ),
                        derived_measure_factors: Vec::new(),
                        decomposition: BaseMeasureVector::new(),
                        minimum: None,
                        maximum: None,
                        suggestion_magnitude: None,
                    },
                ]),
                traits: Vec::new(),
                decomposition: None,
                unit: None,
                help: String::new(),
            },
            TypeExtends::Primitive,
        )
    }

    #[test]
    fn measure_unit_names_for_named_measure() {
        let money = money_measure_type();
        assert_eq!(money.measure_unit_names(), Some(vec!["eur", "usd"]));
    }

    // ---------------------------------------------------------------------------
    // Phase 0 — pin combine_signatures and canonicalize_signature behavior
    // ---------------------------------------------------------------------------

    fn sig(pairs: &[(&str, i32)]) -> Vec<(String, i32)> {
        pairs.iter().map(|(s, e)| (s.to_string(), *e)).collect()
    }

    #[test]
    fn combine_signatures_multiply_adds_exponents() {
        let left = sig(&[("eur", 1)]);
        let right = sig(&[("hour", -1)]);
        let result = combine_signatures(&left, &right, true);
        assert_eq!(result, sig(&[("eur", 1), ("hour", -1)]));
    }

    #[test]
    fn combine_signatures_divide_subtracts_exponents() {
        let left = sig(&[("eur", 1)]);
        let right = sig(&[("hour", 1)]);
        let result = combine_signatures(&left, &right, false);
        assert_eq!(result, sig(&[("eur", 1), ("hour", -1)]));
    }

    #[test]
    fn combine_signatures_cancels_to_empty() {
        let left = sig(&[("ce", 1), ("minute", -1)]);
        let right = sig(&[("minute", 1)]);
        let result = combine_signatures(&left, &right, true);
        // ce * (ce/min * min) = ce; minute cancels
        assert_eq!(result, sig(&[("ce", 1)]));
    }

    #[test]
    fn combine_signatures_output_is_canonical_form() {
        let left = sig(&[("eur", 1), ("hour", 1)]);
        let right = sig(&[("minute", 1)]);
        let result = combine_signatures(&left, &right, false); // divide
                                                               // [("eur",1),("hour",1)] / [("minute",1)] = [("eur",1),("hour",1),("minute",-1)]
        let expected = sig(&[("eur", 1), ("hour", 1), ("minute", -1)]);
        assert_eq!(result, expected);
    }

    #[test]
    fn canonicalize_signature_drops_zero_exponents() {
        let sig_with_zero = sig(&[("eur", 1), ("hour", 0), ("minute", -1)]);
        let result = canonicalize_signature(&sig_with_zero);
        assert_eq!(result, sig(&[("eur", 1), ("minute", -1)]));
    }

    #[test]
    fn canonicalize_signature_sorts_by_name() {
        let unsorted = sig(&[("minute", -1), ("eur", 1)]);
        let result = canonicalize_signature(&unsorted);
        assert_eq!(result, sig(&[("eur", 1), ("minute", -1)]));
    }

    // ---------------------------------------------------------------------------
    // Phase 0 — format_signature_operator_style (to be implemented in
    // signature_factor_and_display todo)
    // ---------------------------------------------------------------------------

    #[test]
    fn format_signature_operator_style_numerator_only() {
        let signature = sig(&[("eur", 1)]);
        let result = format_signature_operator_style(&signature);
        assert_eq!(result, "eur");
    }

    #[test]
    fn format_signature_operator_style_with_denominator() {
        let signature = sig(&[("eur", 1), ("hour", -1)]);
        let result = format_signature_operator_style(&signature);
        assert_eq!(result, "eur/hour");
    }

    #[test]
    fn format_signature_operator_style_denominator_only() {
        let signature = sig(&[("meter", -1)]);
        let result = format_signature_operator_style(&signature);
        assert_eq!(result, "1/meter");
    }

    #[test]
    fn format_signature_operator_style_with_exponents() {
        let signature = sig(&[("meter", 2), ("second", -2)]);
        let result = format_signature_operator_style(&signature);
        assert_eq!(result, "meter^2/second^2");
    }

    // ---------------------------------------------------------------------------
    // Phase 0 — calendar_unit_factor (to be implemented in builtin_calendar_factor_table)
    // ---------------------------------------------------------------------------

    #[test]
    fn calendar_unit_factor_table_completeness() {
        // Every SemanticCalendarUnit Display string must resolve to a factor.
        // Today SemanticCalendarUnit only has Month and Year; more may be added.
        for unit in &[SemanticCalendarUnit::Month, SemanticCalendarUnit::Year] {
            let name = unit.to_string();
            assert!(
                calendar_unit_factor(&name).is_some(),
                "calendar_unit_factor('{}') must return Some",
                name
            );
        }
    }

    #[test]
    fn semantic_calendar_unit_display_returns_singular() {
        // Today Month => "month", Year => "year" (plural).
        // After singular_calendar_names_everywhere, must be "month" and "year".
        assert_eq!(SemanticCalendarUnit::Month.to_string(), "month");
        assert_eq!(SemanticCalendarUnit::Year.to_string(), "year");
    }

    // ---------------------------------------------------------------------------
    // Phase 0 — signature_factor (to be implemented in signature_factor_and_display)
    // ---------------------------------------------------------------------------

    #[test]
    fn signature_factor_with_calendar_units() {
        let calendar = test_calendar_type_for_signature_factor();
        let unit_index = crate::planning::unit_index::UnitIndex::new();
        // month factor = 1, year factor = 12.
        // [(month,1),(year,-1)] = 1/12
        let sig_month_per_year = sig(&[("month", 1), ("year", -1)]);
        let factor = signature_factor(&sig_month_per_year, &unit_index, Some(&calendar))
            .expect("must not overflow");
        let expected = rational_new(1, 12);
        assert_eq!(factor, expected, "month/year factor must be 1/12");
    }

    fn test_calendar_type_for_signature_factor() -> LemmaType {
        use crate::computation::rational::{decimal_to_rational, rational_one};
        use crate::literals::{MeasureUnit, MeasureUnits};
        use rust_decimal::Decimal;
        LemmaType::new(
            "calendar".to_string(),
            TypeSpecification::Measure {
                minimum: None,
                maximum: None,
                units: MeasureUnits::from(vec![
                    MeasureUnit {
                        name: "month".to_string(),
                        scale: UnitScale::Literal(rational_one()),
                        minimum: None,
                        maximum: None,
                        suggestion_magnitude: None,
                        decomposition: calendar_decomposition(),
                        derived_measure_factors: Vec::new(),
                    },
                    MeasureUnit {
                        name: "year".to_string(),
                        scale: UnitScale::Literal(
                            decimal_to_rational(Decimal::from(12)).expect("year factor"),
                        ),
                        minimum: None,
                        maximum: None,
                        suggestion_magnitude: None,
                        decomposition: calendar_decomposition(),
                        derived_measure_factors: Vec::new(),
                    },
                ]),
                traits: vec![MeasureTrait::Calendar],
                decomposition: Some(calendar_decomposition()),
                unit: None,
                help: String::new(),
            },
            TypeExtends::Primitive,
        )
    }

    #[test]
    #[should_panic(expected = "BUG: signature_factor called with unresolved unit name")]
    fn signature_factor_panics_on_unresolved_name() {
        let unit_index = crate::planning::unit_index::UnitIndex::new();
        let bad_sig = sig(&[("nonexistent_unit_xyz", 1)]);
        signature_factor(&bad_sig, &unit_index, None)
            .expect("BUG: signature_factor must panic before returning a failure");
    }

    #[test]
    fn signature_factor_uses_owner_when_expression_index_empty() {
        let money = test_money_type_for_signature_factor();
        let expression_units = crate::planning::unit_index::UnitIndex::new();
        let sig_usd = sig(&[("usd", 1)]);
        let factor =
            signature_factor(&sig_usd, &expression_units, Some(&money)).expect("must not overflow");
        assert_eq!(factor, rational_new(91, 100));
    }

    fn test_money_type_for_signature_factor() -> LemmaType {
        use crate::computation::rational::decimal_to_rational;
        use crate::literals::{MeasureUnit, MeasureUnits};
        use rust_decimal::Decimal;
        LemmaType::new(
            "money".to_string(),
            TypeSpecification::Measure {
                minimum: None,
                maximum: None,
                units: MeasureUnits::from(vec![
                    MeasureUnit {
                        name: "eur".to_string(),
                        scale: UnitScale::Literal(crate::computation::rational::rational_one()),
                        minimum: None,
                        maximum: None,
                        suggestion_magnitude: None,
                        decomposition: BaseMeasureVector::new(),
                        derived_measure_factors: Vec::new(),
                    },
                    MeasureUnit {
                        name: "usd".to_string(),
                        scale: UnitScale::Literal(
                            decimal_to_rational(Decimal::new(91, 2)).expect("usd factor"),
                        ),
                        minimum: None,
                        maximum: None,
                        suggestion_magnitude: None,
                        decomposition: BaseMeasureVector::new(),
                        derived_measure_factors: Vec::new(),
                    },
                ]),
                traits: Vec::new(),
                decomposition: None,
                unit: None,
                help: String::new(),
            },
            TypeExtends::Primitive,
        )
    }

    fn measure_type_with_kilogram() -> TypeSpecification {
        use crate::computation::rational::rational_one;
        use crate::literals::{MeasureUnit, MeasureUnits};
        let mut units = MeasureUnits::new();
        units.push(MeasureUnit {
            name: "kilogram".to_string(),
            scale: UnitScale::Literal(rational_one()),
            minimum: None,
            maximum: None,
            suggestion_magnitude: None,
            decomposition: BaseMeasureVector::new(),
            derived_measure_factors: Vec::new(),
        });
        TypeSpecification::Measure {
            minimum: None,
            maximum: None,
            units,
            traits: Vec::new(),
            decomposition: None,
            unit: None,
            help: String::new(),
        }
    }

    #[test]
    fn parser_value_to_value_kind_rejects_bare_number_for_measure() {
        let ten = Value::Number(Decimal::from(10));
        let measure = LemmaType::primitive(measure_type_with_kilogram());
        let err = parser_value_to_value_kind(&ten, &measure, None)
            .expect_err("bare number must not bind to measure");
        assert!(
            err.contains("kilogram"),
            "error must hint expected unit, got: {err}"
        );
    }

    #[test]
    fn parser_value_to_value_kind_accepts_number_with_unit_for_measure() {
        let ten_kg = Value::NumberWithUnit(Decimal::from(10), "kilogram".to_string());
        let measure = LemmaType::primitive(measure_type_with_kilogram());
        let kind = parser_value_to_value_kind(&ten_kg, &measure, None)
            .expect("10 kilogram must bind to measure");
        assert!(matches!(kind, ValueKind::Measure(_)));
    }

    #[test]
    fn parser_value_to_value_kind_rejects_bare_number_for_ratio() {
        let ten = Value::Number(Decimal::from(10));
        let ratio = LemmaType::primitive(TypeSpecification::ratio());
        let err = parser_value_to_value_kind(&ten, &ratio, None)
            .expect_err("bare number must not bind to ratio");
        assert!(
            err.contains("percent"),
            "error must hint expected unit, got: {err}"
        );
    }

    #[test]
    fn value_kind_matches_spec_rejects_number_for_measure() {
        let n = ValueKind::Number(rational_new(10, 1));
        assert!(!value_kind_matches_spec(&n, &measure_type_with_kilogram()));
    }

    #[test]
    fn value_kind_matches_spec_rejects_number_for_ratio() {
        let n = ValueKind::Number(rational_new(1, 2));
        assert!(!value_kind_matches_spec(&n, &TypeSpecification::ratio()));
    }

    #[test]
    fn apply_constraint_rejects_inherited_unit_factor_change() {
        let mut specs = TypeSpecification::measure();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "money",
                    data_name: "money",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("eur", 1),
                &mut None,
                &mut None,
                None,
            )
            .expect("seed eur");
        let err = specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "money",
                    data_name: "money",
                },
                TypeConstraintCommand::Unit,
                &[
                    CommandArg::Label("eur".to_string()),
                    CommandArg::UnitExpr(crate::parsing::ast::UnitArg::Factor(Decimal::new(11, 1))),
                ],
                &mut None,
                &mut None,
                None,
            )
            .expect_err("must not change inherited unit factor");
        assert!(err.contains("eur"), "error must name unit, got: {err}");
        assert!(
            err.contains("inherited") || err.contains("cannot change"),
            "error must reject factor change, got: {err}"
        );
    }

    #[test]
    fn apply_constraint_allows_additive_unit_on_inherited_spec() {
        let mut specs = TypeSpecification::measure();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "money",
                    data_name: "money",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("eur", 1),
                &mut None,
                &mut None,
                None,
            )
            .expect("seed eur");
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "money",
                    data_name: "money",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("usd", 1),
                &mut None,
                &mut None,
                None,
            )
            .expect("add usd");
        match &specs {
            TypeSpecification::Measure { units, .. } => assert_eq!(units.len(), 2),
            other => panic!("expected Measure, got {other:?}"),
        }
    }

    #[test]
    fn apply_constraint_idempotent_inherited_unit_redeclare() {
        let mut specs = TypeSpecification::measure();
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "money",
                    data_name: "money",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("eur", 1),
                &mut None,
                &mut None,
                None,
            )
            .expect("seed eur");
        specs
            .apply_constraint(
                ConstraintNames {
                    type_name: "money",
                    data_name: "money",
                },
                TypeConstraintCommand::Unit,
                &unit_factor_arg("eur", 1),
                &mut None,
                &mut None,
                None,
            )
            .expect("idempotent eur");
        match &specs {
            TypeSpecification::Measure { units, .. } => {
                assert_eq!(units.len(), 1);
                assert_eq!(
                    *units
                        .iter()
                        .find(|u| u.name == "eur")
                        .expect("eur")
                        .require_literal_factor(),
                    crate::computation::rational::rational_one()
                );
            }
            other => panic!("expected Measure, got {other:?}"),
        }
    }

    #[test]
    fn element_from_range_returns_element_for_every_range_primitive() {
        type RangeElementMatcher = fn(&TypeSpecification) -> bool;
        let cases: [(PrimitiveKind, RangeElementMatcher); 5] = [
            (PrimitiveKind::NumberRange, |element| {
                matches!(element, TypeSpecification::Number { .. })
            }),
            (PrimitiveKind::MeasureRange, |element| {
                matches!(element, TypeSpecification::Measure { .. })
            }),
            (PrimitiveKind::RatioRange, |element| {
                matches!(element, TypeSpecification::Ratio { .. })
            }),
            (PrimitiveKind::DateRange, |element| {
                matches!(element, TypeSpecification::Date { .. })
            }),
            (PrimitiveKind::TimeRange, |element| {
                matches!(element, TypeSpecification::Time { .. })
            }),
        ];
        for (kind, matches_element) in cases {
            let range_spec = type_spec_for_primitive(kind);
            let element = range_spec
                .element_from_range()
                .unwrap_or_else(|| panic!("{kind:?} must define element_from_range"));
            assert!(
                matches_element(&element),
                "{kind:?} element must match documented mapping, got {element:?}"
            );
        }
    }

    #[test]
    fn element_from_range_returns_none_for_non_range_primitives() {
        let non_range = [
            type_spec_for_primitive(PrimitiveKind::Boolean),
            type_spec_for_primitive(PrimitiveKind::Measure),
            TypeSpecification::Undetermined,
            TypeSpecification::veto(),
        ];
        for spec in non_range {
            assert!(
                spec.element_from_range().is_none(),
                "{spec:?} must not define element_from_range"
            );
        }
    }

    fn spec_type(name: &str, effective: crate::parsing::ast::EffectiveDate) -> LemmaType {
        LemmaType::primitive(TypeSpecification::Spec {
            spec: SpecIdentity {
                repository: None,
                spec: name.to_string(),
                effective: effective.clone(),
                slice: effective,
            },
        })
    }

    #[test]
    fn same_value_type_spec_identity() {
        use crate::parsing::ast::EffectiveDate;
        let origin = EffectiveDate::Origin;
        let dated = EffectiveDate::DateTimeValue(crate::DateTimeValue {
            year: 2026,
            month: 1,
            day: 1,
            hour: 0,
            minute: 0,
            second: 0,
            microsecond: 0,
            timezone: None,
            granularity: crate::literals::DateGranularity::Full,
        });
        let tax = spec_type("tax_bracket", origin.clone());
        let tax_again = spec_type("tax_bracket", origin.clone());
        let other = spec_type("menu_item", origin);
        let tax_dated = spec_type("tax_bracket", dated.clone());
        assert!(tax.same_value_type(&tax_again));
        assert!(!tax.same_value_type(&other));
        assert!(!tax.same_value_type(&tax_dated));
        let mut tax_later_slice = tax.clone();
        match &mut tax_later_slice.specifications {
            TypeSpecification::Spec { spec } => spec.slice = dated,
            other => panic!("expected Spec, got {other:?}"),
        }
        assert!(!tax.same_value_type(&tax_later_slice));
        let mut other_repo = tax.clone();
        match &mut other_repo.specifications {
            TypeSpecification::Spec { spec } => spec.repository = Some("@jack/finance".to_string()),
            other => panic!("expected Spec, got {other:?}"),
        }
        assert!(!tax.same_value_type(&other_repo));
    }

    #[test]
    fn spec_identity_displays_repository_space_spec_space_effective() {
        use crate::parsing::ast::EffectiveDate;
        let workspace = SpecIdentity {
            repository: None,
            spec: "tax_bracket".to_string(),
            effective: EffectiveDate::Origin,
            slice: EffectiveDate::Origin,
        };
        assert_eq!(workspace.to_string(), "tax_bracket");
        let start =
            EffectiveDate::DateTimeValue(DateTimeValue::from_str("2026-01-01").expect("date"));
        let dated = SpecIdentity {
            repository: Some("@jack/finance".to_string()),
            spec: "tax_bracket".to_string(),
            effective: start.clone(),
            slice: start,
        };
        assert_eq!(
            dated.to_string(),
            format!(
                "@jack/finance tax_bracket {}",
                DateTimeValue::from_str("2026-01-01").expect("date")
            )
        );
        let later_slice = SpecIdentity {
            slice: EffectiveDate::DateTimeValue(
                DateTimeValue::from_str("2026-07-01").expect("date"),
            ),
            ..workspace
        };
        assert_eq!(
            later_slice.to_string(),
            format!(
                "tax_bracket slice {}",
                DateTimeValue::from_str("2026-07-01").expect("date")
            )
        );
    }

    #[test]
    fn type_family_displays_declaring_spec_then_type() {
        let workspace = TypeFamily {
            repository: None,
            spec: "pricing".to_string(),
            effective: crate::parsing::ast::EffectiveDate::Origin,
            name: "money".to_string(),
        };
        assert_eq!(workspace.to_string(), "pricing.money");
        let stdlib = TypeFamily {
            repository: Some("lemma".to_string()),
            spec: "units".to_string(),
            effective: crate::parsing::ast::EffectiveDate::Origin,
            name: "mass".to_string(),
        };
        assert_eq!(stdlib.to_string(), "lemma units.mass");
        let dated = TypeFamily {
            repository: None,
            spec: "pricing".to_string(),
            effective: crate::parsing::ast::EffectiveDate::DateTimeValue(
                DateTimeValue::from_str("2024-01-01").expect("date"),
            ),
            name: "money".to_string(),
        };
        assert_eq!(dated.to_string(), "pricing 2024-01-01.money");
    }

    #[test]
    fn piecewise_type_keeps_spec_identity() {
        use crate::parsing::ast::EffectiveDate;
        use crate::planning::typing::{piecewise_type, MeasureScope};
        use crate::planning::unit_index::UnitIndex;
        let tax = Arc::new(spec_type("tax_bracket", EffectiveDate::Origin));
        let unit_index = UnitIndex::new();
        let signature_index = crate::computation::arithmetic::SignatureIndex::new();
        let named_types = IndexMap::new();
        let scope = MeasureScope {
            unit_index: &unit_index,
            signature_index: &signature_index,
            named_types: &named_types,
        };
        let picked = piecewise_type([Arc::new(LemmaType::veto_type()), Arc::clone(&tax)], &scope);
        assert!(picked.same_value_type(&tax));
    }

    #[test]
    #[should_panic(expected = "BUG: literal factor required")]
    fn measure_unit_factor_panics_on_reference_scale() {
        let units = crate::literals::MeasureUnits::from(vec![
            crate::literals::MeasureUnit::from_reference(
                "gbp".to_string(),
                "rate".to_string(),
                Vec::new(),
                "rate".to_string(),
            ),
        ]);
        let lemma_type = LemmaType::new(
            "money".to_string(),
            TypeSpecification::Measure {
                units,
                traits: vec![],
                decomposition: None,
                minimum: None,
                maximum: None,
                unit: None,
                help: String::new(),
            },
            TypeExtends::Primitive,
        );
        let _ = lemma_type.measure_unit_factor("gbp");
    }
}