diff --git a/src/eval/ops.rs b/src/eval/ops.rs
index da3432a26..69a0b02b2 100644
--- a/src/eval/ops.rs
+++ b/src/eval/ops.rs
@@ -1,4 +1,6 @@
-use super::{ArrayValue, DictValue, TemplateNode, Value};
+use std::cmp::Ordering::*;
+
+use super::{TemplateNode, Value};
 use Value::*;
 
 /// Apply the plus operator to a value.
@@ -164,61 +166,28 @@ pub fn or(lhs: Value, rhs: Value) -> Value {
 
 /// Compute whether two values are equal.
 pub fn eq(lhs: Value, rhs: Value) -> Value {
-    Bool(value_eq(&lhs, &rhs))
+    Bool(lhs.eq(&rhs))
 }
 
 /// Compute whether two values are equal.
 pub fn neq(lhs: Value, rhs: Value) -> Value {
-    Bool(!value_eq(&lhs, &rhs))
-}
-
-/// Recursively compute whether two values are equal.
-fn value_eq(lhs: &Value, rhs: &Value) -> bool {
-    match (lhs, rhs) {
-        (&Int(a), &Float(b)) => a as f64 == b,
-        (&Float(a), &Int(b)) => a == b as f64,
-        (&Length(a), &Linear(b)) => a == b.abs && b.rel.is_zero(),
-        (&Relative(a), &Linear(b)) => a == b.rel && b.abs.is_zero(),
-        (&Linear(a), &Length(b)) => a.abs == b && a.rel.is_zero(),
-        (&Linear(a), &Relative(b)) => a.rel == b && a.abs.is_zero(),
-        (Array(a), Array(b)) => array_eq(a, b),
-        (Dict(a), Dict(b)) => dict_eq(a, b),
-        (a, b) => a == b,
-    }
-}
-
-/// Compute whether two arrays are equal.
-fn array_eq(a: &ArrayValue, b: &ArrayValue) -> bool {
-    a.len() == b.len() && a.iter().zip(b).all(|(x, y)| value_eq(x, y))
-}
-
-/// Compute whether two dictionaries are equal.
-fn dict_eq(a: &DictValue, b: &DictValue) -> bool {
-    a.len() == b.len()
-        && a.iter().all(|(k, x)| b.get(k).map_or(false, |y| value_eq(x, y)))
+    Bool(!lhs.eq(&rhs))
 }
 
 macro_rules! comparison {
-    ($name:ident, $op:tt) => {
+    ($name:ident, $($pat:tt)*) => {
         /// Compute how a value compares with another value.
         pub fn $name(lhs: Value, rhs: Value) -> Value {
-            match (lhs, rhs) {
-                (Int(a), Int(b)) => Bool(a $op b),
-                (Int(a), Float(b)) => Bool((a as f64) $op b),
-                (Float(a), Int(b)) => Bool(a $op b as f64),
-                (Float(a), Float(b)) => Bool(a $op b),
-                (Angle(a), Angle(b)) => Bool(a $op b),
-                (Length(a), Length(b)) => Bool(a $op b),
-                _ => Error,
-            }
+            lhs.cmp(&rhs)
+                .map_or(Value::Error, |x| Value::Bool(matches!(x, $($pat)*)))
         }
     };
 }
 
-comparison!(lt, <);
-comparison!(leq, <=);
-comparison!(gt, >);
-comparison!(geq, >=);
+comparison!(lt, Less);
+comparison!(leq, Less | Equal);
+comparison!(gt, Greater);
+comparison!(geq, Greater | Equal);
 
 /// Concatenate two collections.
 fn concat<T, A>(mut a: T, b: T) -> T
diff --git a/src/eval/value.rs b/src/eval/value.rs
index 288e5ed74..84701b3da 100644
--- a/src/eval/value.rs
+++ b/src/eval/value.rs
@@ -1,4 +1,5 @@
 use std::any::Any;
+use std::cmp::Ordering;
 use std::collections::BTreeMap;
 use std::fmt::{self, Debug, Display, Formatter};
 use std::ops::Deref;
@@ -57,6 +58,14 @@ impl Value {
         Self::Template(vec![TemplateNode::Func(TemplateFunc::new(name, f))])
     }
 
+    /// Try to cast the value into a specific type.
+    pub fn cast<T>(self) -> CastResult<T, Self>
+    where
+        T: Cast<Value>,
+    {
+        T::cast(self)
+    }
+
     /// The name of the stored value's type.
     pub fn type_name(&self) -> &'static str {
         match self {
@@ -79,12 +88,37 @@ impl Value {
         }
     }
 
-    /// Try to cast the value into a specific type.
-    pub fn cast<T>(self) -> CastResult<T, Self>
-    where
-        T: Cast<Value>,
-    {
-        T::cast(self)
+    /// Recursively compute whether two values are equal.
+    pub fn eq(&self, rhs: &Self) -> bool {
+        match (self, rhs) {
+            (&Self::Int(a), &Self::Float(b)) => a as f64 == b,
+            (&Self::Float(a), &Self::Int(b)) => a == b as f64,
+            (&Self::Length(a), &Self::Linear(b)) => a == b.abs && b.rel.is_zero(),
+            (&Self::Relative(a), &Self::Linear(b)) => a == b.rel && b.abs.is_zero(),
+            (&Self::Linear(a), &Self::Length(b)) => a.abs == b && a.rel.is_zero(),
+            (&Self::Linear(a), &Self::Relative(b)) => a.rel == b && a.abs.is_zero(),
+            (Self::Array(a), Self::Array(b)) => {
+                a.len() == b.len() && a.iter().zip(b).all(|(x, y)| x.eq(y))
+            }
+            (Self::Dict(a), Self::Dict(b)) => {
+                a.len() == b.len()
+                    && a.iter().all(|(k, x)| b.get(k).map_or(false, |y| x.eq(y)))
+            }
+            (a, b) => a == b,
+        }
+    }
+
+    /// Compare a value with another value.
+    pub fn cmp(&self, rhs: &Self) -> Option<Ordering> {
+        match (self, rhs) {
+            (Self::Int(a), Self::Int(b)) => a.partial_cmp(b),
+            (Self::Int(a), Self::Float(b)) => (*a as f64).partial_cmp(b),
+            (Self::Float(a), Self::Int(b)) => a.partial_cmp(&(*b as f64)),
+            (Self::Float(a), Self::Float(b)) => a.partial_cmp(b),
+            (Self::Angle(a), Self::Angle(b)) => a.partial_cmp(b),
+            (Self::Length(a), Self::Length(b)) => a.partial_cmp(b),
+            _ => None,
+        }
     }
 }