diff --git a/src/eval/mod.rs b/src/eval/mod.rs
index 22c7c0b43..e911596df 100644
--- a/src/eval/mod.rs
+++ b/src/eval/mod.rs
@@ -23,7 +23,7 @@ pub use value::*;
 use std::collections::HashMap;
 use std::io;
 use std::mem;
-use std::path::{Path, PathBuf};
+use std::path::PathBuf;
 use std::rc::Rc;
 
 use crate::diag::{Error, StrResult, Tracepoint, TypResult};
@@ -107,7 +107,7 @@ impl<'a> EvalContext<'a> {
     /// Process an import of a module relative to the current location.
     pub fn import(&mut self, path: &str, span: Span) -> TypResult<SourceId> {
         // Load the source file.
-        let full = self.relpath(path);
+        let full = self.make_path(path);
         let id = self.sources.load(&full).map_err(|err| {
             Error::boxed(self.source, span, match err.kind() {
                 io::ErrorKind::NotFound => "file not found".into(),
@@ -157,15 +157,14 @@ impl<'a> EvalContext<'a> {
         Ok(id)
     }
 
-    /// Complete a path that is relative to the current file to be relative to
-    /// the environment's current directory.
-    pub fn relpath(&self, path: impl AsRef<Path>) -> PathBuf {
-        self.sources
-            .get(self.source)
-            .path()
-            .parent()
-            .expect("is a file")
-            .join(path)
+    /// Complete a user-entered path (relative to the source file) to be
+    /// relative to the compilation environment's root.
+    pub fn make_path(&self, path: &str) -> PathBuf {
+        if let Some(dir) = self.sources.get(self.source).path().parent() {
+            dir.join(path)
+        } else {
+            path.into()
+        }
     }
 }
 
diff --git a/src/library/elements.rs b/src/library/elements.rs
index e021c0c63..98165204d 100644
--- a/src/library/elements.rs
+++ b/src/library/elements.rs
@@ -15,7 +15,7 @@ pub fn image(ctx: &mut EvalContext, args: &mut FuncArgs) -> TypResult<Value> {
     let width = args.named("width")?;
     let height = args.named("height")?;
 
-    let full = ctx.relpath(path.v.as_str());
+    let full = ctx.make_path(&path.v);
     let id = ctx.images.load(&full).map_err(|err| {
         Error::boxed(args.source, path.span, match err.kind() {
             io::ErrorKind::NotFound => "file not found".into(),
diff --git a/src/parse/mod.rs b/src/parse/mod.rs
index f033e01f2..9eabcfc75 100644
--- a/src/parse/mod.rs
+++ b/src/parse/mod.rs
@@ -34,18 +34,16 @@ fn tree(p: &mut Parser) -> SyntaxTree {
     tree_while(p, true, &mut |_| true)
 }
 
-/// Parse a syntax tree that stays right of the column at the start of the next
-/// non-whitespace token.
-fn tree_indented(p: &mut Parser) -> SyntaxTree {
+/// Parse a syntax tree that stays right of the given column.
+fn tree_indented(p: &mut Parser, column: usize) -> SyntaxTree {
     p.eat_while(|t| match t {
         Token::Space(n) => n == 0,
         Token::LineComment(_) | Token::BlockComment(_) => true,
         _ => false,
     });
 
-    let column = p.column(p.next_start());
     tree_while(p, false, &mut |p| match p.peek() {
-        Some(Token::Space(n)) if n >= 1 => p.column(p.next_end()) >= column,
+        Some(Token::Space(n)) if n >= 1 => p.column(p.next_end()) > column,
         _ => true,
     })
 }
@@ -68,7 +66,7 @@ where
                     let start = p.next_start();
                     let tree = tree_while(p, true, f);
                     call.args.items.push(CallArg::Pos(Expr::Template(TemplateExpr {
-                        span: p.span(start),
+                        span: p.span_from(start),
                         tree: Rc::new(tree),
                     })));
                 }
@@ -189,7 +187,8 @@ fn raw(p: &mut Parser, token: RawToken) -> SyntaxNode {
 /// Parse a heading.
 fn heading(p: &mut Parser) -> SyntaxNode {
     let start = p.next_start();
-    p.assert(Token::Eq);
+    let column = p.column(start);
+    p.eat_assert(Token::Eq);
 
     // Count depth.
     let mut level: usize = 1;
@@ -198,28 +197,29 @@ fn heading(p: &mut Parser) -> SyntaxNode {
     }
 
     if level > 6 {
-        return SyntaxNode::Text(p.eaten_from(start).into());
+        return SyntaxNode::Text(p.get(start .. p.prev_end()).into());
     }
 
-    let body = tree_indented(p);
-
-    SyntaxNode::Heading(HeadingNode { span: p.span(start), level, body })
+    let body = tree_indented(p, column);
+    SyntaxNode::Heading(HeadingNode { span: p.span_from(start), level, body })
 }
 
 /// Parse a single list item.
 fn list_item(p: &mut Parser) -> SyntaxNode {
     let start = p.next_start();
-    p.assert(Token::Hyph);
-    let body = tree_indented(p);
-    SyntaxNode::List(ListItem { span: p.span(start), body })
+    let column = p.column(start);
+    p.eat_assert(Token::Hyph);
+    let body = tree_indented(p, column);
+    SyntaxNode::List(ListItem { span: p.span_from(start), body })
 }
 
 /// Parse a single enum item.
 fn enum_item(p: &mut Parser, number: Option<usize>) -> SyntaxNode {
     let start = p.next_start();
-    p.assert(Token::Numbering(number));
-    let body = tree_indented(p);
-    SyntaxNode::Enum(EnumItem { span: p.span(start), number, body })
+    let column = p.column(start);
+    p.eat_assert(Token::Numbering(number));
+    let body = tree_indented(p, column);
+    SyntaxNode::Enum(EnumItem { span: p.span_from(start), number, body })
 }
 
 /// Parse an expression.
@@ -240,7 +240,7 @@ fn expr_with(p: &mut Parser, atomic: bool, min_prec: usize) -> Option<Expr> {
         Some(op) => {
             let prec = op.precedence();
             let expr = Box::new(expr_with(p, atomic, prec)?);
-            Expr::Unary(UnaryExpr { span: p.span(start), op, expr })
+            Expr::Unary(UnaryExpr { span: p.span_from(start), op, expr })
         }
         None => primary(p, atomic)?,
     };
@@ -529,7 +529,7 @@ fn block(p: &mut Parser, scoping: bool) -> Expr {
 fn call(p: &mut Parser, callee: Expr) -> Option<Expr> {
     let mut wide = p.eat_if(Token::Excl);
     if wide && p.outer_mode() == TokenMode::Code {
-        let span = p.span(callee.span().start);
+        let span = p.span_from(callee.span().start);
         p.error(span, "wide calls are only allowed directly in templates");
         wide = false;
     }
@@ -552,7 +552,7 @@ fn call(p: &mut Parser, callee: Expr) -> Option<Expr> {
     }
 
     Some(Expr::Call(CallExpr {
-        span: p.span(callee.span().start),
+        span: p.span_from(callee.span().start),
         callee: Box::new(callee),
         wide,
         args,
@@ -571,7 +571,7 @@ fn args(p: &mut Parser) -> CallArgs {
 fn with_expr(p: &mut Parser, callee: Expr) -> Option<Expr> {
     if p.peek() == Some(Token::LeftParen) {
         Some(Expr::With(WithExpr {
-            span: p.span(callee.span().start),
+            span: p.span_from(callee.span().start),
             callee: Box::new(callee),
             args: args(p),
         }))
@@ -584,7 +584,7 @@ fn with_expr(p: &mut Parser, callee: Expr) -> Option<Expr> {
 /// Parse a let expression.
 fn let_expr(p: &mut Parser) -> Option<Expr> {
     let start = p.next_start();
-    p.assert(Token::Let);
+    p.eat_assert(Token::Let);
 
     let mut let_expr = None;
     if let Some(binding) = ident(p) {
@@ -622,7 +622,7 @@ fn let_expr(p: &mut Parser) -> Option<Expr> {
         }
 
         let_expr = Some(Expr::Let(LetExpr {
-            span: p.span(start),
+            span: p.span_from(start),
             binding,
             init: init.map(Box::new),
         }));
@@ -634,7 +634,7 @@ fn let_expr(p: &mut Parser) -> Option<Expr> {
 /// Parse an if expresion.
 fn if_expr(p: &mut Parser) -> Option<Expr> {
     let start = p.next_start();
-    p.assert(Token::If);
+    p.eat_assert(Token::If);
 
     let mut if_expr = None;
     if let Some(condition) = expr(p) {
@@ -650,7 +650,7 @@ fn if_expr(p: &mut Parser) -> Option<Expr> {
             }
 
             if_expr = Some(Expr::If(IfExpr {
-                span: p.span(start),
+                span: p.span_from(start),
                 condition: Box::new(condition),
                 if_body: Box::new(if_body),
                 else_body: else_body.map(Box::new),
@@ -664,13 +664,13 @@ fn if_expr(p: &mut Parser) -> Option<Expr> {
 /// Parse a while expresion.
 fn while_expr(p: &mut Parser) -> Option<Expr> {
     let start = p.next_start();
-    p.assert(Token::While);
+    p.eat_assert(Token::While);
 
     let mut while_expr = None;
     if let Some(condition) = expr(p) {
         if let Some(body) = body(p) {
             while_expr = Some(Expr::While(WhileExpr {
-                span: p.span(start),
+                span: p.span_from(start),
                 condition: Box::new(condition),
                 body: Box::new(body),
             }));
@@ -683,15 +683,15 @@ fn while_expr(p: &mut Parser) -> Option<Expr> {
 /// Parse a for expression.
 fn for_expr(p: &mut Parser) -> Option<Expr> {
     let start = p.next_start();
-    p.assert(Token::For);
+    p.eat_assert(Token::For);
 
     let mut for_expr = None;
     if let Some(pattern) = for_pattern(p) {
-        if p.expect(Token::In) {
+        if p.eat_expect(Token::In) {
             if let Some(iter) = expr(p) {
                 if let Some(body) = body(p) {
                     for_expr = Some(Expr::For(ForExpr {
-                        span: p.span(start),
+                        span: p.span_from(start),
                         pattern,
                         iter: Box::new(iter),
                         body: Box::new(body),
@@ -718,7 +718,7 @@ fn for_pattern(p: &mut Parser) -> Option<ForPattern> {
 /// Parse an import expression.
 fn import_expr(p: &mut Parser) -> Option<Expr> {
     let start = p.next_start();
-    p.assert(Token::Import);
+    p.eat_assert(Token::Import);
 
     let imports = if p.eat_if(Token::Star) {
         // This is the wildcard scenario.
@@ -735,10 +735,10 @@ fn import_expr(p: &mut Parser) -> Option<Expr> {
     };
 
     let mut import_expr = None;
-    if p.expect(Token::From) {
+    if p.eat_expect(Token::From) {
         if let Some(path) = expr(p) {
             import_expr = Some(Expr::Import(ImportExpr {
-                span: p.span(start),
+                span: p.span_from(start),
                 imports,
                 path: Box::new(path),
             }));
@@ -751,11 +751,11 @@ fn import_expr(p: &mut Parser) -> Option<Expr> {
 /// Parse an include expression.
 fn include_expr(p: &mut Parser) -> Option<Expr> {
     let start = p.next_start();
-    p.assert(Token::Include);
+    p.eat_assert(Token::Include);
 
     expr(p).map(|path| {
         Expr::Include(IncludeExpr {
-            span: p.span(start),
+            span: p.span_from(start),
             path: Box::new(path),
         })
     })
diff --git a/src/parse/parser.rs b/src/parse/parser.rs
index 326fc280d..4f2e59c60 100644
--- a/src/parse/parser.rs
+++ b/src/parse/parser.rs
@@ -1,5 +1,4 @@
 use std::fmt::{self, Debug, Formatter};
-use std::ops::Range;
 
 use super::{TokenMode, Tokens};
 use crate::diag::Error;
@@ -22,9 +21,9 @@ pub struct Parser<'s> {
     /// (Same as `next` except if we are at the end of group, then `None`).
     peeked: Option<Token<'s>>,
     /// The end position of the last (non-whitespace if in code mode) token.
-    prev_end: usize,
+    prev_end: Pos,
     /// The start position of the peeked token.
-    next_start: usize,
+    next_start: Pos,
 }
 
 /// A logical group of tokens, e.g. `[...]`.
@@ -32,7 +31,7 @@ pub struct Parser<'s> {
 struct GroupEntry {
     /// The start position of the group. Used by `Parser::end_group` to return
     /// The group's full span.
-    pub start: usize,
+    pub start: Pos,
     /// The kind of group this is. This decides which tokens will end the group.
     /// For example, a [`Group::Paren`] will be ended by
     /// [`Token::RightParen`].
@@ -70,8 +69,8 @@ impl<'s> Parser<'s> {
             groups: vec![],
             next,
             peeked: next,
-            prev_end: 0,
-            next_start: 0,
+            prev_end: Pos::ZERO,
+            next_start: Pos::ZERO,
         }
     }
 
@@ -80,37 +79,144 @@ impl<'s> Parser<'s> {
         self.errors
     }
 
-    /// Add an error with location and message.
-    pub fn error(&mut self, span: impl Into<Span>, message: impl Into<String>) {
-        self.errors.push(Error::new(self.source.id(), span, message));
+    /// Whether the end of the source string or group is reached.
+    pub fn eof(&self) -> bool {
+        self.peek().is_none()
     }
 
-    /// Eat the next token and add an error that it is not the expected `thing`.
-    pub fn expected(&mut self, what: &str) {
-        let before = self.next_start();
-        if let Some(found) = self.eat() {
-            let after = self.prev_end();
-            self.error(
-                before .. after,
-                format!("expected {}, found {}", what, found.name()),
-            );
+    /// Consume the next token.
+    pub fn eat(&mut self) -> Option<Token<'s>> {
+        let token = self.peek()?;
+        self.bump();
+        Some(token)
+    }
+
+    /// Eat the next token and return its source range.
+    pub fn eat_span(&mut self) -> Span {
+        let start = self.next_start();
+        self.eat();
+        Span::new(start, self.prev_end())
+    }
+
+    /// Consume the next token if it is the given one.
+    pub fn eat_if(&mut self, t: Token) -> bool {
+        if self.peek() == Some(t) {
+            self.bump();
+            true
         } else {
-            self.expected_at(self.next_start(), what);
+            false
         }
     }
 
-    /// Add an error that `what` was expected at the given position.
-    pub fn expected_at(&mut self, pos: impl Into<Pos>, what: &str) {
-        self.error(pos.into(), format!("expected {}", what));
+    /// Consume the next token if the closure maps it a to `Some`-variant.
+    pub fn eat_map<T, F>(&mut self, f: F) -> Option<T>
+    where
+        F: FnOnce(Token<'s>) -> Option<T>,
+    {
+        let token = self.peek()?;
+        let mapped = f(token);
+        if mapped.is_some() {
+            self.bump();
+        }
+        mapped
     }
 
-    /// Eat the next token and add an error that it is unexpected.
-    pub fn unexpected(&mut self) {
-        let before = self.next_start();
-        if let Some(found) = self.eat() {
-            let after = self.prev_end();
-            self.error(before .. after, format!("unexpected {}", found.name()));
+    /// Consume the next token if it is the given one and produce an error if
+    /// not.
+    pub fn eat_expect(&mut self, t: Token) -> bool {
+        let eaten = self.eat_if(t);
+        if !eaten {
+            self.expected_at(self.prev_end(), t.name());
         }
+        eaten
+    }
+
+    /// Consume the next token, debug-asserting that it is one of the given ones.
+    pub fn eat_assert(&mut self, t: Token) {
+        let next = self.eat();
+        debug_assert_eq!(next, Some(t));
+    }
+
+    /// Consume tokens while the condition is true.
+    pub fn eat_while<F>(&mut self, mut f: F)
+    where
+        F: FnMut(Token<'s>) -> bool,
+    {
+        while self.peek().map_or(false, |t| f(t)) {
+            self.eat();
+        }
+    }
+
+    /// Peek at the next token without consuming it.
+    pub fn peek(&self) -> Option<Token<'s>> {
+        self.peeked
+    }
+
+    /// Peek at the next token if it follows immediately after the last one
+    /// without any whitespace in between.
+    pub fn peek_direct(&self) -> Option<Token<'s>> {
+        if self.next_start() == self.prev_end() {
+            self.peeked
+        } else {
+            None
+        }
+    }
+
+    /// Peek at the span of the next token.
+    ///
+    /// Has length zero if `peek()` returns `None`.
+    pub fn peek_span(&self) -> Span {
+        Span::new(self.next_start(), self.next_end())
+    }
+
+    /// Peek at the source of the next token.
+    pub fn peek_src(&self) -> &'s str {
+        self.get(self.peek_span())
+    }
+
+    /// Checks whether the next token fulfills a condition.
+    ///
+    /// Returns `false` if there is no next token.
+    pub fn check<F>(&self, f: F) -> bool
+    where
+        F: FnOnce(Token<'s>) -> bool,
+    {
+        self.peek().map_or(false, f)
+    }
+
+    /// The byte position at which the last token ended.
+    ///
+    /// Refers to the end of the last _non-whitespace_ token in code mode.
+    pub fn prev_end(&self) -> Pos {
+        self.prev_end.into()
+    }
+
+    /// The byte position at which the next token starts.
+    pub fn next_start(&self) -> Pos {
+        self.next_start.into()
+    }
+
+    /// The byte position at which the next token will end.
+    ///
+    /// Is the same as [`next_start()`][Self::next_start] if `peek()` returns
+    /// `None`.
+    pub fn next_end(&self) -> Pos {
+        self.tokens.index().into()
+    }
+
+    /// The span from `start` to [`self.prev_end()`](Self::prev_end).
+    pub fn span_from(&self, start: Pos) -> Span {
+        Span::new(start, self.prev_end())
+    }
+
+    /// Determine the column index for the given byte position.
+    pub fn column(&self, pos: Pos) -> usize {
+        self.source.pos_to_column(pos).unwrap()
+    }
+
+    /// Slice out part of the source string.
+    pub fn get(&self, span: impl Into<Span>) -> &'s str {
+        self.tokens.scanner().get(span.into().to_range())
     }
 
     /// Continue parsing in a group.
@@ -131,9 +237,9 @@ impl<'s> Parser<'s> {
         self.repeek();
 
         match kind {
-            Group::Paren => self.assert(Token::LeftParen),
-            Group::Bracket => self.assert(Token::LeftBracket),
-            Group::Brace => self.assert(Token::LeftBrace),
+            Group::Paren => self.eat_assert(Token::LeftParen),
+            Group::Bracket => self.eat_assert(Token::LeftBracket),
+            Group::Brace => self.eat_assert(Token::LeftBrace),
             Group::Stmt => {}
             Group::Expr => {}
             Group::Imports => {}
@@ -171,7 +277,8 @@ impl<'s> Parser<'s> {
 
         // Rescan the peeked token if the mode changed.
         if rescan {
-            self.jump(self.prev_end());
+            self.tokens.jump(self.prev_end().to_usize());
+            self.bump();
         }
 
         Span::new(group.start, self.prev_end())
@@ -188,163 +295,43 @@ impl<'s> Parser<'s> {
         self.groups.last().map_or(TokenMode::Markup, |group| group.outer_mode)
     }
 
-    /// Whether the end of the source string or group is reached.
-    pub fn eof(&self) -> bool {
-        self.peek().is_none()
+    /// Add an error with location and message.
+    pub fn error(&mut self, span: impl Into<Span>, message: impl Into<String>) {
+        self.errors.push(Error::new(self.source.id(), span, message));
     }
 
-    /// Peek at the next token without consuming it.
-    pub fn peek(&self) -> Option<Token<'s>> {
-        self.peeked
-    }
-
-    /// Peek at the next token if it follows immediately after the last one
-    /// without any whitespace in between.
-    pub fn peek_direct(&self) -> Option<Token<'s>> {
-        if self.next_start() == self.prev_end() {
-            self.peeked
+    /// Eat the next token and add an error that it is not the expected `thing`.
+    pub fn expected(&mut self, what: &str) {
+        let before = self.next_start();
+        if let Some(found) = self.eat() {
+            let after = self.prev_end();
+            self.error(
+                before .. after,
+                format!("expected {}, found {}", what, found.name()),
+            );
         } else {
-            None
+            self.expected_at(self.next_start(), what);
         }
     }
 
-    /// Peek at the span of the next token.
-    ///
-    /// Has length zero if `peek()` returns `None`.
-    pub fn peek_span(&self) -> Span {
-        self.peek_range().into()
+    /// Add an error that `what` was expected at the given position.
+    pub fn expected_at(&mut self, pos: Pos, what: &str) {
+        self.error(pos, format!("expected {}", what));
     }
 
-    /// Peek at the source of the next token.
-    pub fn peek_src(&self) -> &'s str {
-        self.tokens.scanner().get(self.peek_range())
-    }
-
-    /// Peek at the source range (start and end index) of the next token.
-    pub fn peek_range(&self) -> Range<usize> {
-        self.next_start() .. self.next_end()
-    }
-
-    /// Checks whether the next token fulfills a condition.
-    ///
-    /// Returns `false` if there is no next token.
-    pub fn check<F>(&self, f: F) -> bool
-    where
-        F: FnOnce(Token<'s>) -> bool,
-    {
-        self.peek().map_or(false, f)
-    }
-
-    /// Consume the next token.
-    pub fn eat(&mut self) -> Option<Token<'s>> {
-        let token = self.peek()?;
-        self.bump();
-        Some(token)
-    }
-
-    /// Consume the next token if it is the given one.
-    pub fn eat_if(&mut self, t: Token) -> bool {
-        if self.peek() == Some(t) {
-            self.bump();
-            true
-        } else {
-            false
+    /// Eat the next token and add an error that it is unexpected.
+    pub fn unexpected(&mut self) {
+        let before = self.next_start();
+        if let Some(found) = self.eat() {
+            let after = self.prev_end();
+            self.error(before .. after, format!("unexpected {}", found.name()));
         }
     }
 
-    /// Consume tokens while the condition is true.
-    pub fn eat_while<F>(&mut self, mut f: F)
-    where
-        F: FnMut(Token<'s>) -> bool,
-    {
-        while self.peek().map_or(false, |t| f(t)) {
-            self.eat();
-        }
-    }
-
-    /// Consume the next token if the closure maps it a to `Some`-variant.
-    pub fn eat_map<T, F>(&mut self, f: F) -> Option<T>
-    where
-        F: FnOnce(Token<'s>) -> Option<T>,
-    {
-        let token = self.peek()?;
-        let mapped = f(token);
-        if mapped.is_some() {
-            self.bump();
-        }
-        mapped
-    }
-
-    /// Eat the next token and return its source range.
-    pub fn eat_span(&mut self) -> Span {
-        let start = self.next_start();
-        self.eat();
-        Span::new(start, self.prev_end())
-    }
-
-    /// Consume the next token if it is the given one and produce an error if
-    /// not.
-    pub fn expect(&mut self, t: Token) -> bool {
-        let eaten = self.eat_if(t);
-        if !eaten {
-            self.expected_at(self.prev_end(), t.name());
-        }
-        eaten
-    }
-
-    /// Consume the next token, debug-asserting that it is one of the given ones.
-    pub fn assert(&mut self, t: Token) {
-        let next = self.eat();
-        debug_assert_eq!(next, Some(t));
-    }
-
-    /// The index at which the last token ended.
-    ///
-    /// Refers to the end of the last _non-whitespace_ token in code mode.
-    pub fn prev_end(&self) -> usize {
-        self.prev_end
-    }
-
-    /// The index at which the next token starts.
-    pub fn next_start(&self) -> usize {
-        self.next_start
-    }
-
-    /// The index at which the next token will end.
-    ///
-    /// Is the same as [`next_start()`][Self::next_start] if `peek()` returns
-    /// `None`.
-    pub fn next_end(&self) -> usize {
-        self.tokens.index()
-    }
-
-    /// Determine the column for the given index in the source.
-    pub fn column(&self, index: usize) -> usize {
-        self.source.pos_to_column(index.into()).unwrap()
-    }
-
-    /// The span from `start` to [`self.prev_end()`](Self::prev_end).
-    pub fn span(&self, start: impl Into<Pos>) -> Span {
-        Span::new(start, self.prev_end())
-    }
-
-    /// Return the source string from `start` to the end of the previous token.
-    pub fn eaten_from(&self, start: usize) -> &'s str {
-        self.tokens.scanner().get(start .. self.prev_end())
-    }
-
-    /// Jump to an index in the string.
-    ///
-    /// You need to know the correct column.
-    fn jump(&mut self, index: usize) {
-        self.tokens.jump(index);
-        self.bump();
-    }
-
     /// Move to the next token.
     fn bump(&mut self) {
-        self.prev_end = self.tokens.index();
-        self.next_start = self.tokens.index();
+        self.prev_end = self.tokens.index().into();
+        self.next_start = self.tokens.index().into();
         self.next = self.tokens.next();
 
         if self.tokens.mode() == TokenMode::Code {
@@ -355,7 +342,7 @@ impl<'s> Parser<'s> {
                 Some(Token::BlockComment(_)) => true,
                 _ => false,
             } {
-                self.next_start = self.tokens.index();
+                self.next_start = self.tokens.index().into();
                 self.next = self.tokens.next();
             }
         }
@@ -399,7 +386,7 @@ impl<'s> Parser<'s> {
 impl Debug for Parser<'_> {
     fn fmt(&self, f: &mut Formatter) -> fmt::Result {
         let mut s = self.tokens.scanner();
-        s.jump(self.next_start());
+        s.jump(self.next_start().to_usize());
         write!(f, "Parser({}|{})", s.eaten(), s.rest())
     }
 }
diff --git a/src/source.rs b/src/source.rs
index 20ba137f2..0a5a28609 100644
--- a/src/source.rs
+++ b/src/source.rs
@@ -63,7 +63,7 @@ impl SourceStore {
             io::Error::new(io::ErrorKind::InvalidData, "file is not valid utf-8")
         })?;
 
-        Ok(self.insert(Some(hash), path, src))
+        Ok(self.insert(path, src, Some(hash)))
     }
 
     /// Directly provide a source file.
@@ -82,16 +82,16 @@ impl SourceStore {
                 id
             } else {
                 // Not loaded yet.
-                self.insert(Some(hash), path, src)
+                self.insert(path, src, Some(hash))
             }
         } else {
             // Not known to the loader.
-            self.insert(None, path, src)
+            self.insert(path, src, None)
         }
     }
 
     /// Insert a new source file.
-    fn insert(&mut self, hash: Option<FileHash>, path: &Path, src: String) -> SourceId {
+    fn insert(&mut self, path: &Path, src: String, hash: Option<FileHash>) -> SourceId {
         let id = SourceId(self.sources.len() as u32);
         if let Some(hash) = hash {
             self.files.insert(hash, id);
@@ -112,6 +112,9 @@ impl SourceStore {
 }
 
 /// A single source file.
+///
+/// _Note_: All line and column indices start at zero, just like byte indices.
+/// Only for user-facing display, you should add 1 to them.
 pub struct SourceFile {
     id: SourceId,
     path: PathBuf,
@@ -120,7 +123,8 @@ pub struct SourceFile {
 }
 
 impl SourceFile {
-    fn new(id: SourceId, path: &Path, src: String) -> Self {
+    /// Create a new source file.
+    pub fn new(id: SourceId, path: &Path, src: String) -> Self {
         let mut line_starts = vec![Pos::ZERO];
         let mut s = Scanner::new(&src);
 
@@ -151,7 +155,7 @@ impl SourceFile {
         self.id
     }
 
-    /// The path to the source file.
+    /// The normalized path to the source file.
     pub fn path(&self) -> &Path {
         &self.path
     }
@@ -161,6 +165,11 @@ impl SourceFile {
         &self.src
     }
 
+    /// Slice out the part of the source code enclosed by the span.
+    pub fn get(&self, span: impl Into<Span>) -> Option<&str> {
+        self.src.get(span.into().to_range())
+    }
+
     /// Get the length of the file in bytes.
     pub fn len_bytes(&self) -> usize {
         self.src.len()
@@ -171,11 +180,6 @@ impl SourceFile {
         self.line_starts.len()
     }
 
-    /// Slice out the part of the source code enclosed by the span.
-    pub fn get(&self, span: Span) -> Option<&str> {
-        self.src.get(span.to_range())
-    }
-
     /// Return the index of the line that contains the given byte position.
     pub fn pos_to_line(&self, byte_pos: Pos) -> Option<usize> {
         (byte_pos.to_usize() <= self.src.len()).then(|| {
@@ -186,14 +190,15 @@ impl SourceFile {
         })
     }
 
-    /// Return the column of the byte index.
+    /// Return the index of the column at the byte index.
     ///
-    /// Tabs are counted as occupying two columns.
+    /// The column is defined as the number of characters in the line before the
+    /// byte position.
     pub fn pos_to_column(&self, byte_pos: Pos) -> Option<usize> {
         let line = self.pos_to_line(byte_pos)?;
         let start = self.line_to_pos(line)?;
         let head = self.get(Span::new(start, byte_pos))?;
-        Some(head.chars().map(width).sum())
+        Some(head.chars().count())
     }
 
     /// Return the byte position at which the given line starts.
@@ -210,32 +215,19 @@ impl SourceFile {
 
     /// Return the byte position of the given (line, column) pair.
     ///
-    /// Tabs are counted as occupying two columns.
+    /// The column defines the number of characters to go beyond the start of
+    /// the line.
     pub fn line_column_to_pos(&self, line_idx: usize, column_idx: usize) -> Option<Pos> {
         let span = self.line_to_span(line_idx)?;
         let line = self.get(span)?;
-
-        if column_idx == 0 {
-            return Some(span.start);
+        let mut chars = line.chars();
+        for _ in 0 .. column_idx {
+            chars.next();
         }
-
-        let mut column = 0;
-        for (i, c) in line.char_indices() {
-            column += width(c);
-            if column >= column_idx {
-                return Some(span.start + Pos::from(i + c.len_utf8()));
-            }
-        }
-
-        None
+        Some(span.start + (line.len() - chars.as_str().len()))
     }
 }
 
-/// The display width of the character.
-fn width(c: char) -> usize {
-    if c == '\t' { 2 } else { 1 }
-}
-
 impl AsRef<str> for SourceFile {
     fn as_ref(&self) -> &str {
         &self.src
@@ -256,14 +248,34 @@ impl<'a> Files<'a> for SourceStore {
         Ok(self.get(id))
     }
 
-    fn line_index(
+    fn line_index(&'a self, id: SourceId, given: usize) -> Result<usize, files::Error> {
+        let source = self.get(id);
+        source
+            .pos_to_line(given.into())
+            .ok_or_else(|| files::Error::IndexTooLarge { given, max: source.len_bytes() })
+    }
+
+    fn line_range(
         &'a self,
         id: SourceId,
-        byte_index: usize,
+        given: usize,
+    ) -> Result<std::ops::Range<usize>, files::Error> {
+        let source = self.get(id);
+        source
+            .line_to_span(given)
+            .map(Span::to_range)
+            .ok_or_else(|| files::Error::LineTooLarge { given, max: source.len_lines() })
+    }
+
+    fn column_number(
+        &'a self,
+        id: SourceId,
+        _: usize,
+        given: usize,
     ) -> Result<usize, files::Error> {
         let source = self.get(id);
-        source.pos_to_line(byte_index.into()).ok_or_else(|| {
-            let (given, max) = (byte_index, source.len_bytes());
+        source.pos_to_column(given.into()).ok_or_else(|| {
+            let max = source.len_bytes();
             if given <= max {
                 files::Error::InvalidCharBoundary { given }
             } else {
@@ -271,28 +283,13 @@ impl<'a> Files<'a> for SourceStore {
             }
         })
     }
-
-    fn line_range(
-        &'a self,
-        id: SourceId,
-        line_index: usize,
-    ) -> Result<std::ops::Range<usize>, files::Error> {
-        let source = self.get(id);
-        match source.line_to_span(line_index) {
-            Some(span) => Ok(span.to_range()),
-            None => Err(files::Error::LineTooLarge {
-                given: line_index,
-                max: source.len_lines(),
-            }),
-        }
-    }
 }
 
 #[cfg(test)]
 mod tests {
     use super::*;
 
-    const TEST: &str = "äbcde\nf💛g\r\nhi\rjkl";
+    const TEST: &str = "ä\tcde\nf💛g\r\nhi\rjkl";
 
     #[test]
     fn test_source_file_new() {
@@ -313,6 +310,17 @@ mod tests {
         assert_eq!(source.pos_to_line(Pos(22)), None);
     }
 
+    #[test]
+    fn test_source_file_pos_to_column() {
+        let source = SourceFile::detached(TEST);
+        assert_eq!(source.pos_to_column(Pos(0)), Some(0));
+        assert_eq!(source.pos_to_column(Pos(2)), Some(1));
+        assert_eq!(source.pos_to_column(Pos(6)), Some(5));
+        assert_eq!(source.pos_to_column(Pos(7)), Some(0));
+        assert_eq!(source.pos_to_column(Pos(8)), Some(1));
+        assert_eq!(source.pos_to_column(Pos(12)), Some(2));
+    }
+
     #[test]
     fn test_source_file_roundtrip() {
         #[track_caller]
diff --git a/tests/ref/markup/lists.png b/tests/ref/markup/lists.png
index 815e51056..315905b8e 100644
Binary files a/tests/ref/markup/lists.png and b/tests/ref/markup/lists.png differ
diff --git a/tests/typ/markup/enums.typ b/tests/typ/markup/enums.typ
index 516fd0c1c..ecf08a36a 100644
--- a/tests/typ/markup/enums.typ
+++ b/tests/typ/markup/enums.typ
@@ -8,4 +8,4 @@
 ---
 1. First.
    2. Second.
-  1. Back to first.
+1. Back to first.
diff --git a/tests/typ/markup/heading.typ b/tests/typ/markup/heading.typ
index bc0317b37..4647e7a6e 100644
--- a/tests/typ/markup/heading.typ
+++ b/tests/typ/markup/heading.typ
@@ -33,7 +33,7 @@ No = heading
     indented.
 
 =  This
-  is not.
+is not.
 
 // Code blocks continue heading.
 = A {
diff --git a/tests/typ/markup/lists.typ b/tests/typ/markup/lists.typ
index 5c464ab8b..716fcd739 100644
--- a/tests/typ/markup/lists.typ
+++ b/tests/typ/markup/lists.typ
@@ -6,6 +6,12 @@ _Shopping list_
 - Potatoes
 - Juice
 
+---
+Tightly
+- surrounded
+- by two
+paragraphs.
+
 ---
 - First level.
   - Second level.
@@ -18,28 +24,26 @@ _Shopping list_
 - At the top.
 
 ---
-- Works
-    - Also with four spaces
-		- Or two tabs
+- Level 1
+  - Level [
+2 through template
+]
 
 ---
   - Top-level indent
 - is fine.
 
----
-Tightly
-- surrounded
-- by two
-paragraphs.
-
 ---
  - A
      - B
    - C
-  - D
+- D
 
 ---
-- Level 1
-  - Level [
-2 through template
-]
+// This works because tabs are used consistently.
+	- A with 1 tab
+		- B with 2 tabs
+
+// This doesn't work because of mixed tabs and spaces.
+  - A with 2 spaces
+		- B with 2 tabs