formualizer_parse/

tokenizer.rs

use std::convert::TryFrom;
use std::error::Error;
use std::fmt::{self, Display};
use std::sync::Arc;

#[cfg(feature = "serde")]
use serde::{Deserialize, Serialize};

use crate::types::FormulaDialect;

const TOKEN_ENDERS: &str = ",;}) +-*/^&=><%@";

const fn build_token_enders() -> [bool; 256] {
    let mut tbl = [false; 256];
    let bytes = TOKEN_ENDERS.as_bytes();
    let mut i = 0;
    while i < bytes.len() {
        tbl[bytes[i] as usize] = true;
        i += 1;
    }
    tbl
}
static TOKEN_ENDERS_TABLE: [bool; 256] = build_token_enders();

#[inline(always)]
fn is_token_ender(c: u8) -> bool {
    TOKEN_ENDERS_TABLE[c as usize]
}

// Recognised Excel error literals. The lookup matches an exact-length slice
// using `eq_ignore_ascii_case`, so ordering only matters when one entry is a
// prefix of another (none currently are). We keep entries grouped by era and
// sorted longest-first defensively so future additions don't introduce
// prefix-collision ambiguity.
//
// Modern (Excel 2018+) literals currently recognised here are limited to the
// ones whose `ExcelErrorKind` already exists in `formualizer-common`:
//   - `#SPILL!` (dynamic-array spill blocked)
//   - `#CALC!`  (generic calc-engine error)
// Other modern literals (`#FIELD!`, `#BLOCKED!`, `#CONNECT!`, `#UNKNOWN!`,
// `#EXTERNAL!`, `#BUSY!`, `#PYTHON!`) are intentionally not recognised yet;
// adding them requires a coordinated change in `ExcelErrorKind` and all
// downstream exhaustive matches/bindings/serde/display.
//
// `#GETTING_DATA` is kept for OOXML/legacy compatibility.
static ERROR_CODES: &[&str] = &[
    "#GETTING_DATA",
    "#DIV/0!",
    "#VALUE!",
    "#SPILL!",
    "#NAME?",
    "#NULL!",
    "#CALC!",
    "#NUM!",
    "#REF!",
    "#N/A",
];

/// Represents operator associativity.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum Associativity {
    Left,
    Right,
}

/// A custom error type for the tokenizer.
#[derive(Debug)]
pub struct TokenizerError {
    pub message: String,
    pub pos: usize,
}

/// Recovering action taken for a malformed span.
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub enum RecoveryAction {
    /// Unmatched closer was emitted as a recovery span and scanning continued.
    SkippedUnmatchedCloser,
    /// Unterminated string was emitted as one recovery span.
    UnterminatedString,
    /// Unmatched opening '[' was emitted as a recovery span.
    UnmatchedBracket,
    /// Invalid # literal was emitted as a recovery span.
    InvalidErrorLiteral,
    /// Unmatched opener was recorded at end-of-input.
    UnmatchedOpener,
}

/// Token-level diagnostic emitted by best-effort tokenization.
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
#[derive(Debug, Clone, PartialEq, Eq)]
pub struct TokenDiagnostic {
    pub span: TokenSpan,
    pub message: String,
    pub recovery: RecoveryAction,
}

impl TokenDiagnostic {
    fn new(span: TokenSpan, message: String, recovery: RecoveryAction) -> Self {
        Self {
            span,
            message,
            recovery,
        }
    }
}

#[derive(Debug, Clone)]
struct SpanTokenizerError {
    kind: SpanTokenizerErrorKind,
    pos: usize,
    message: String,
    span_start: Option<usize>,
    span_end: Option<usize>,
}

#[derive(Debug, Clone, Copy)]
enum SpanTokenizerErrorKind {
    NoMatchingOpener,
    UnmatchedOpening,
    UnterminatedString,
    UnmatchedBracket,
    MismatchedPair,
    InvalidErrorLiteral,
}

impl From<SpanTokenizerError> for TokenizerError {
    fn from(value: SpanTokenizerError) -> Self {
        TokenizerError {
            message: value.message,
            pos: value.pos,
        }
    }
}

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

impl Error for TokenizerError {}

/// The type of a token.
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub enum TokenType {
    Literal,
    Operand,
    Func,
    Array,
    Paren,
    Sep,
    OpPrefix,
    OpInfix,
    OpPostfix,
    Whitespace,
}
impl Display for TokenType {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{self:?}")
    }
}

/// The subtype of a token.
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub enum TokenSubType {
    None,
    Text,
    Number,
    Logical,
    Error,
    Range,
    Open,
    Close,
    Arg,
    Row,
}
impl Display for TokenSubType {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{self:?}")
    }
}

/// A token in an Excel formula.
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
#[derive(Debug, Clone, PartialEq, Hash)]
pub struct Token {
    pub value: String, // We'll keep this for API compatibility but compute it lazily
    pub token_type: TokenType,
    pub subtype: TokenSubType,
    pub start: usize,
    pub end: usize,
}

impl Display for Token {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(
            f,
            "<{} subtype: {:?} value: {}>",
            self.token_type, self.subtype, self.value
        )
    }
}

impl Token {
    pub fn new(value: String, token_type: TokenType, subtype: TokenSubType) -> Self {
        Token {
            value,
            token_type,
            subtype,
            start: 0,
            end: 0,
        }
    }

    pub fn new_with_span(
        value: String,
        token_type: TokenType,
        subtype: TokenSubType,
        start: usize,
        end: usize,
    ) -> Self {
        Token {
            value,
            token_type,
            subtype,
            start,
            end,
        }
    }

    fn from_slice(
        source: &str,
        token_type: TokenType,
        subtype: TokenSubType,
        start: usize,
        end: usize,
    ) -> Self {
        Token {
            value: source[start..end].to_string(),
            token_type,
            subtype,
            start,
            end,
        }
    }

    pub fn is_operator(&self) -> bool {
        matches!(
            self.token_type,
            TokenType::OpPrefix | TokenType::OpInfix | TokenType::OpPostfix
        )
    }

    pub fn get_precedence(&self) -> Option<(u8, Associativity)> {
        // For a prefix operator, use the 'u' key.
        let op = if self.token_type == TokenType::OpPrefix {
            "u"
        } else {
            self.value.as_str()
        };

        // Higher number => tighter binding.
        // Excel precedence (high to low, simplified):
        //   reference ops (:
        //   postfix %
        //   prefix unary +/- (binds tighter than ^)
        //   exponent ^ (right-assoc)
        //   */
        //   +-
        //   &
        //   comparisons
        match op {
            "#" => Some((11, Associativity::Left)),
            ":" => Some((10, Associativity::Left)),
            " " => Some((9, Associativity::Left)),
            "," => Some((8, Associativity::Left)),
            "%" => Some((7, Associativity::Left)),
            "u" => Some((6, Associativity::Right)),
            "^" => Some((5, Associativity::Right)),
            "*" | "/" => Some((4, Associativity::Left)),
            "+" | "-" => Some((3, Associativity::Left)),
            "&" => Some((2, Associativity::Left)),
            "=" | "<" | ">" | "<=" | ">=" | "<>" => Some((1, Associativity::Left)),
            _ => None,
        }
    }

    /// Create an operand token based on the value.
    pub fn make_operand(value: String) -> Self {
        let subtype = if value.starts_with('"') {
            TokenSubType::Text
        } else if value.starts_with('#') {
            TokenSubType::Error
        } else if value.eq_ignore_ascii_case("TRUE") || value.eq_ignore_ascii_case("FALSE") {
            TokenSubType::Logical
        } else if value.parse::<f64>().is_ok() {
            TokenSubType::Number
        } else {
            TokenSubType::Range
        };
        Token::new(value, TokenType::Operand, subtype)
    }

    /// Create an operand token with byte position span.
    pub fn make_operand_with_span(value: String, start: usize, end: usize) -> Self {
        let subtype = if value.starts_with('"') {
            TokenSubType::Text
        } else if value.starts_with('#') {
            TokenSubType::Error
        } else if value.eq_ignore_ascii_case("TRUE") || value.eq_ignore_ascii_case("FALSE") {
            TokenSubType::Logical
        } else if value.parse::<f64>().is_ok() {
            TokenSubType::Number
        } else {
            TokenSubType::Range
        };
        Token::new_with_span(value, TokenType::Operand, subtype, start, end)
    }

    fn make_operand_from_slice(source: &str, start: usize, end: usize) -> Self {
        let value_str = &source[start..end];
        let subtype = if value_str.starts_with('"') {
            TokenSubType::Text
        } else if value_str.starts_with('#') {
            TokenSubType::Error
        } else if value_str.eq_ignore_ascii_case("TRUE") || value_str.eq_ignore_ascii_case("FALSE")
        {
            TokenSubType::Logical
        } else if value_str.parse::<f64>().is_ok() {
            TokenSubType::Number
        } else {
            TokenSubType::Range
        };
        Token::from_slice(source, TokenType::Operand, subtype, start, end)
    }

    /// Create a subexpression token.
    ///
    /// `value` must end with one of '{', '}', '(' or ')'. If `func` is true,
    /// the token's type is forced to be Func.
    pub fn make_subexp(value: &str, func: bool) -> Self {
        let last_char = value.chars().last().expect("Empty token value");
        assert!(matches!(last_char, '{' | '}' | '(' | ')'));
        let token_type = if func {
            TokenType::Func
        } else if "{}".contains(last_char) {
            TokenType::Array
        } else if "()".contains(last_char) {
            TokenType::Paren
        } else {
            TokenType::Func
        };
        let subtype = if ")}".contains(last_char) {
            TokenSubType::Close
        } else {
            TokenSubType::Open
        };
        Token::new(value.to_string(), token_type, subtype)
    }

    /// Create a subexpression token with byte position span.
    pub fn make_subexp_with_span(value: &str, func: bool, start: usize, end: usize) -> Self {
        let last_char = value.chars().last().expect("Empty token value");
        assert!(matches!(last_char, '{' | '}' | '(' | ')'));
        let token_type = if func {
            TokenType::Func
        } else if "{}".contains(last_char) {
            TokenType::Array
        } else if "()".contains(last_char) {
            TokenType::Paren
        } else {
            TokenType::Func
        };
        let subtype = if ")}".contains(last_char) {
            TokenSubType::Close
        } else {
            TokenSubType::Open
        };
        Token::new_with_span(value.to_string(), token_type, subtype, start, end)
    }

    fn make_subexp_from_slice(source: &str, func: bool, start: usize, end: usize) -> Self {
        let value_str = &source[start..end];
        let last_char = value_str.chars().last().expect("Empty token value");
        let token_type = if func {
            TokenType::Func
        } else if "{}".contains(last_char) {
            TokenType::Array
        } else if "()".contains(last_char) {
            TokenType::Paren
        } else {
            TokenType::Func
        };
        let subtype = if ")}".contains(last_char) {
            TokenSubType::Close
        } else {
            TokenSubType::Open
        };
        Token::from_slice(source, token_type, subtype, start, end)
    }

    /// Given an opener token, return its corresponding closer token.
    pub fn get_closer(&self) -> Result<Token, TokenizerError> {
        if self.subtype != TokenSubType::Open {
            return Err(TokenizerError {
                message: "Token is not an opener".to_string(),
                pos: 0,
            });
        }
        let closer_value = if self.token_type == TokenType::Array {
            "}"
        } else {
            ")"
        };
        Ok(Token::make_subexp(
            closer_value,
            self.token_type == TokenType::Func,
        ))
    }

    /// Create a separator token.
    pub fn make_separator(value: &str) -> Self {
        assert!(value == "," || value == ";");
        let subtype = if value == "," {
            TokenSubType::Arg
        } else {
            TokenSubType::Row
        };
        Token::new(value.to_string(), TokenType::Sep, subtype)
    }

    /// Create a separator token with byte position span.
    pub fn make_separator_with_span(value: &str, start: usize, end: usize) -> Self {
        assert!(value == "," || value == ";");
        let subtype = if value == "," {
            TokenSubType::Arg
        } else {
            TokenSubType::Row
        };
        Token::new_with_span(value.to_string(), TokenType::Sep, subtype, start, end)
    }
}

#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
pub struct TokenSpan {
    pub token_type: TokenType,
    pub subtype: TokenSubType,
    pub start: usize,
    pub end: usize,
}

#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub struct TokenView<'a> {
    pub span: &'a TokenSpan,
    pub value: &'a str,
}

/// Source-backed token stream (span-only).
///
/// This is intended as a high-performance representation for callers that
/// want to avoid allocating a `String` per token. It can materialize owned
/// `Token`s when needed (FFI/debug).
#[derive(Debug, Clone)]
pub struct TokenStream {
    source: Arc<str>,
    pub spans: Vec<TokenSpan>,
    dialect: FormulaDialect,
    diagnostics: Vec<TokenDiagnostic>,
}

impl TokenStream {
    pub fn new(formula: &str) -> Result<Self, TokenizerError> {
        Self::new_with_dialect(formula, FormulaDialect::Excel)
    }

    pub fn new_with_dialect(
        formula: &str,
        dialect: FormulaDialect,
    ) -> Result<Self, TokenizerError> {
        let source: Arc<str> = Arc::from(formula);
        let spans = tokenize_spans_with_dialect(source.as_ref(), dialect)?;
        Ok(TokenStream {
            source,
            spans,
            dialect,
            diagnostics: Vec::new(),
        })
    }

    pub fn new_best_effort(formula: &str) -> Self {
        Self::new_best_effort_with_dialect(formula, FormulaDialect::Excel)
    }

    pub fn new_best_effort_with_dialect(formula: &str, dialect: FormulaDialect) -> Self {
        let source: Arc<str> = Arc::from(formula);
        let mut tokenizer = SpanTokenizer::new(source.as_ref(), dialect);
        let spans = tokenizer.parse_best_effort();
        let diagnostics = tokenizer.diagnostics;
        TokenStream {
            source,
            spans,
            dialect,
            diagnostics,
        }
    }

    pub fn diagnostics(&self) -> Vec<TokenDiagnostic> {
        self.diagnostics.clone()
    }

    pub fn diagnostics_ref(&self) -> &[TokenDiagnostic] {
        &self.diagnostics
    }

    pub fn has_errors(&self) -> bool {
        !self.diagnostics.is_empty()
    }

    pub fn invalid_spans_iter(&self) -> impl Iterator<Item = &TokenSpan> {
        self.spans.iter().filter(|span| {
            self.diagnostics.iter().any(|diag| {
                diag.span.start == span.start
                    && diag.span.end == span.end
                    && diag.span.token_type == span.token_type
            })
        })
    }

    pub fn invalid_spans(&self) -> Vec<&TokenSpan> {
        self.invalid_spans_iter().collect()
    }

    pub fn source(&self) -> &str {
        &self.source
    }

    pub fn dialect(&self) -> FormulaDialect {
        self.dialect
    }

    pub fn len(&self) -> usize {
        self.spans.len()
    }

    pub fn is_empty(&self) -> bool {
        self.spans.is_empty()
    }

    pub fn get(&self, index: usize) -> Option<TokenView<'_>> {
        let span = self.spans.get(index)?;
        let value = self.source.get(span.start..span.end)?;
        Some(TokenView { span, value })
    }

    pub fn to_tokens(&self) -> Vec<Token> {
        self.spans
            .iter()
            .map(|s| {
                let value = self
                    .source
                    .get(s.start..s.end)
                    .unwrap_or_default()
                    .to_string();
                Token::new_with_span(value, s.token_type, s.subtype, s.start, s.end)
            })
            .collect()
    }

    /// Reconstruct the tokenized payload from spans.
    ///
    /// For formulas that start with '=', this intentionally omits the leading
    /// '=' to preserve historical `TokenStream::render()` behavior.
    pub fn render(&self) -> String {
        let mut out = String::with_capacity(self.source.len());
        for span in &self.spans {
            if let Some(s) = self.source.get(span.start..span.end) {
                out.push_str(s);
            }
        }
        out
    }

    /// Reconstruct the full input formula, including a leading '=' when present.
    pub fn render_formula(&self) -> String {
        if self.source.as_bytes().first() == Some(&b'=') {
            format!("={}", self.render())
        } else {
            self.render()
        }
    }
}

pub(crate) fn tokenize_spans_with_dialect(
    formula: &str,
    dialect: FormulaDialect,
) -> Result<Vec<TokenSpan>, TokenizerError> {
    let mut tokenizer = SpanTokenizer::new(formula, dialect);
    tokenizer.parse()?;
    Ok(tokenizer.spans)
}

fn operand_subtype(value_str: &str) -> TokenSubType {
    if value_str.starts_with('"') {
        TokenSubType::Text
    } else if value_str.starts_with('#') {
        TokenSubType::Error
    } else if value_str.eq_ignore_ascii_case("TRUE") || value_str.eq_ignore_ascii_case("FALSE") {
        TokenSubType::Logical
    } else if value_str.parse::<f64>().is_ok() {
        TokenSubType::Number
    } else {
        TokenSubType::Range
    }
}

fn is_cell_reference_like(value: &str) -> bool {
    let bytes = value.as_bytes();
    let mut i = 0;

    if i < bytes.len() && bytes[i] == b'$' {
        i += 1;
    }

    let col_start = i;
    while i < bytes.len() && bytes[i].is_ascii_alphabetic() {
        i += 1;
    }
    if i == col_start {
        return false;
    }

    if i < bytes.len() && bytes[i] == b'$' {
        i += 1;
    }

    let row_start = i;
    while i < bytes.len() && bytes[i].is_ascii_digit() {
        i += 1;
    }

    i == bytes.len() && i > row_start
}

fn reference_value_contains_range_colon(value: &str) -> bool {
    let value_part = value
        .rsplit_once('!')
        .map_or(value, |(_, value_part)| value_part);
    value_part.contains(':')
}

fn is_reference_operand_value(value: &str) -> bool {
    operand_subtype(value) == TokenSubType::Range
        && (reference_value_contains_range_colon(value)
            || value.contains('!')
            || value.contains('[')
            || is_cell_reference_like(value))
}

fn next_starts_reference_expression(formula: &str, mut offset: usize) -> bool {
    let bytes = formula.as_bytes();
    while offset < bytes.len() && matches!(bytes[offset], b' ' | b'\n') {
        offset += 1;
    }
    if offset >= bytes.len() {
        return false;
    }

    matches!(bytes[offset], b'(' | b'[' | b'\'' | b'$') || bytes[offset].is_ascii_alphabetic()
}

fn next_reference_has_sheet_qualifier(formula: &str, mut offset: usize) -> bool {
    let bytes = formula.as_bytes();
    while offset < bytes.len() && matches!(bytes[offset], b' ' | b'\n') {
        offset += 1;
    }

    let mut in_quote = false;
    while offset < bytes.len() {
        match bytes[offset] {
            b'\'' => {
                if in_quote && offset + 1 < bytes.len() && bytes[offset + 1] == b'\'' {
                    offset += 2;
                    continue;
                }
                in_quote = !in_quote;
            }
            b'!' => return true,
            b':' if !in_quote => return false,
            b',' | b';' | b'}' | b')' | b' ' | b'\n' | b'+' | b'-' | b'*' | b'/' | b'^' | b'&'
            | b'=' | b'>' | b'<' | b'%' | b'@'
                if !in_quote =>
            {
                return false;
            }
            _ => {}
        }
        offset += 1;
    }

    false
}

struct SpanTokenizer<'a> {
    formula: &'a str,
    spans: Vec<TokenSpan>,
    token_stack: Vec<TokenSpan>,
    offset: usize,
    token_start: usize,
    token_end: usize,
    dialect: FormulaDialect,
    diagnostics: Vec<TokenDiagnostic>,
}

impl<'a> SpanTokenizer<'a> {
    fn new(formula: &'a str, dialect: FormulaDialect) -> Self {
        SpanTokenizer {
            formula,
            spans: Vec::with_capacity(formula.len() / 2),
            token_stack: Vec::with_capacity(16),
            offset: 0,
            token_start: 0,
            token_end: 0,
            dialect,
            diagnostics: Vec::new(),
        }
    }

    #[inline]
    fn current_byte(&self) -> Option<u8> {
        self.formula.as_bytes().get(self.offset).copied()
    }

    #[inline]
    fn has_token(&self) -> bool {
        self.token_end > self.token_start
    }

    #[inline]
    fn start_token(&mut self) {
        self.token_start = self.offset;
        self.token_end = self.offset;
    }

    #[inline]
    fn extend_token(&mut self) {
        self.token_end = self.offset;
    }

    fn push_span(
        &mut self,
        token_type: TokenType,
        subtype: TokenSubType,
        start: usize,
        end: usize,
    ) {
        self.spans.push(TokenSpan {
            token_type,
            subtype,
            start,
            end,
        });
    }

    fn save_token(&mut self) {
        if self.has_token() {
            let value_str = &self.formula[self.token_start..self.token_end];
            let subtype = operand_subtype(value_str);
            self.push_span(
                TokenType::Operand,
                subtype,
                self.token_start,
                self.token_end,
            );
        }
    }

    fn check_scientific_notation(&mut self) -> bool {
        if let Some(curr_byte) = self.current_byte() {
            if (curr_byte == b'+' || curr_byte == b'-')
                && self.has_token()
                && self.is_scientific_notation_base()
                && self
                    .formula
                    .as_bytes()
                    .get(self.offset + 1)
                    .is_some_and(|b| b.is_ascii_digit())
            {
                self.offset += 1;
                self.extend_token();
                return true;
            }
        }
        false
    }

    fn is_scientific_notation_base(&self) -> bool {
        if !self.has_token() {
            return false;
        }

        let token_slice = &self.formula.as_bytes()[self.token_start..self.token_end];
        if token_slice.len() < 2 {
            return false;
        }

        let last = token_slice[token_slice.len() - 1];
        if !(last == b'E' || last == b'e') {
            return false;
        }

        let first = token_slice[0];
        if !first.is_ascii_digit() {
            return false;
        }

        let mut dot_seen = false;
        for &ch in &token_slice[1..token_slice.len() - 1] {
            match ch {
                b'0'..=b'9' => {}
                b'.' if !dot_seen => dot_seen = true,
                _ => return false,
            }
        }
        true
    }

    fn parse(&mut self) -> Result<(), TokenizerError> {
        self.parse_with_recovery(false).map_err(Into::into)
    }

    pub(crate) fn parse_best_effort(&mut self) -> Vec<TokenSpan> {
        let _ = self.parse_with_recovery(true);
        self.spans.clone()
    }

    fn parse_with_recovery(&mut self, best_effort: bool) -> Result<(), SpanTokenizerError> {
        if self.formula.is_empty() {
            return Ok(());
        }

        if self.formula.as_bytes()[0] != b'=' {
            self.push_span(
                TokenType::Literal,
                TokenSubType::None,
                0,
                self.formula.len(),
            );
            return Ok(());
        }

        self.offset = 1;
        self.start_token();

        while self.offset < self.formula.len() {
            if self.check_scientific_notation() {
                continue;
            }

            let curr_byte = self.formula.as_bytes()[self.offset];

            if is_token_ender(curr_byte) && self.has_token() {
                self.save_token();
                self.start_token();
            }

            let parse_result = match curr_byte {
                b'"' | b'\'' => self.parse_string(),
                b'[' => self.parse_brackets(),
                b'#' => {
                    if self.should_emit_hash_postfix() {
                        self.emit_hash_postfix();
                        Ok(())
                    } else {
                        self.parse_error()
                    }
                }
                b' ' | b'\n' => self.parse_whitespace(),
                b':' => {
                    if self.should_emit_colon_infix() {
                        self.emit_infix_operator(self.offset, self.offset + 1);
                        Ok(())
                    } else {
                        if !self.has_token() {
                            self.start_token();
                        }
                        self.offset += 1;
                        self.extend_token();
                        Ok(())
                    }
                }
                b'+' | b'-' | b'*' | b'/' | b'^' | b'&' | b'=' | b'>' | b'<' | b'%' | b'@' => {
                    self.parse_operator()
                }
                b'{' | b'(' => self.parse_opener(),
                b')' | b'}' => self.parse_closer(),
                b';' | b',' => self.parse_separator(),
                _ => {
                    if !self.has_token() {
                        self.start_token();
                    }
                    self.offset += 1;
                    self.extend_token();
                    Ok(())
                }
            };

            if let Err(err) = parse_result {
                if best_effort {
                    self.recover_from_error(err);
                } else {
                    return Err(err);
                }
            }
        }

        if self.has_token() {
            self.save_token();
        }

        if !self.token_stack.is_empty() {
            if best_effort {
                while let Some(open_token) = self.token_stack.pop() {
                    if let Some(span) = self.spans.iter().find(|span| {
                        span.start == open_token.start
                            && span.end == open_token.end
                            && span.token_type == open_token.token_type
                            && span.subtype == open_token.subtype
                    }) {
                        self.diagnostics.push(TokenDiagnostic::new(
                            *span,
                            "Unmatched opening parenthesis or bracket".to_string(),
                            RecoveryAction::UnmatchedOpener,
                        ));
                    }
                }
            } else {
                return Err(SpanTokenizerError {
                    kind: SpanTokenizerErrorKind::UnmatchedOpening,
                    pos: self.offset,
                    message: "Unmatched opening parenthesis or bracket".to_string(),
                    span_start: None,
                    span_end: None,
                });
            }
        }

        Ok(())
    }

    fn recover_from_error(&mut self, error: SpanTokenizerError) {
        match error.kind {
            SpanTokenizerErrorKind::NoMatchingOpener => {
                let span = TokenSpan {
                    token_type: TokenType::Operand,
                    subtype: TokenSubType::None,
                    start: error.pos,
                    end: error.pos + 1,
                };
                self.push_span(TokenType::Operand, TokenSubType::None, span.start, span.end);
                self.offset = span.end;
                self.start_token();
                self.diagnostics.push(TokenDiagnostic::new(
                    span,
                    format!("No matching opener for closer at position {}", error.pos),
                    RecoveryAction::SkippedUnmatchedCloser,
                ));
            }
            SpanTokenizerErrorKind::UnmatchedOpening => {
                debug_assert!(
                    false,
                    "UnmatchedOpening is handled at end-of-input and should not be routed through recover_from_error"
                );
            }
            SpanTokenizerErrorKind::UnterminatedString => {
                let start = error.span_start.unwrap_or(error.pos);
                let span = TokenSpan {
                    token_type: TokenType::Operand,
                    subtype: TokenSubType::None,
                    start,
                    end: self.formula.len(),
                };
                self.push_span(TokenType::Operand, TokenSubType::None, span.start, span.end);
                self.offset = span.end;
                self.start_token();
                self.diagnostics.push(TokenDiagnostic::new(
                    span,
                    "Reached end of formula while parsing string".to_string(),
                    RecoveryAction::UnterminatedString,
                ));
            }
            SpanTokenizerErrorKind::UnmatchedBracket => {
                let start = error.span_start.unwrap_or(error.pos);
                let end = error.span_end.unwrap_or(self.formula.len());
                let span = TokenSpan {
                    token_type: TokenType::Operand,
                    subtype: TokenSubType::None,
                    start,
                    end,
                };
                self.push_span(TokenType::Operand, TokenSubType::None, span.start, span.end);
                self.offset = span.end;
                self.start_token();
                self.diagnostics.push(TokenDiagnostic::new(
                    span,
                    "Encountered unmatched '['".to_string(),
                    RecoveryAction::UnmatchedBracket,
                ));
            }
            SpanTokenizerErrorKind::MismatchedPair => {
                let span = TokenSpan {
                    token_type: TokenType::Operand,
                    subtype: TokenSubType::None,
                    start: error.pos,
                    end: error.pos + 1,
                };
                self.push_span(TokenType::Operand, TokenSubType::None, span.start, span.end);
                self.offset = span.end;
                self.start_token();
                self.diagnostics.push(TokenDiagnostic::new(
                    span,
                    "Mismatched ( and { pair".to_string(),
                    RecoveryAction::SkippedUnmatchedCloser,
                ));
            }
            SpanTokenizerErrorKind::InvalidErrorLiteral => {
                let start = error.span_start.unwrap_or(error.pos);
                let end = error.span_end.unwrap_or(error.pos + 1);
                let span = TokenSpan {
                    token_type: TokenType::Operand,
                    subtype: TokenSubType::None,
                    start,
                    end,
                };
                self.push_span(TokenType::Operand, TokenSubType::None, span.start, span.end);
                self.offset = span.end;
                self.start_token();
                self.diagnostics.push(TokenDiagnostic::new(
                    span,
                    "Invalid error code".to_string(),
                    RecoveryAction::InvalidErrorLiteral,
                ));
            }
        }
    }

    fn parse_string(&mut self) -> Result<(), SpanTokenizerError> {
        let delim = self.formula.as_bytes()[self.offset];
        assert!(delim == b'"' || delim == b'\'');

        let is_dollar_ref = delim == b'\''
            && self.has_token()
            && self.token_end - self.token_start == 1
            && self.formula.as_bytes()[self.token_start] == b'$';

        // Issue #79: only single-quoted strings (cross-sheet references like
        // `A1:'Other Sheet'!B2`) should glue onto a pending `:`-terminated
        // token. Double-quoted string literals must always flush so the
        // pending `A1:` prefix is not silently discarded.
        let glue_to_token = delim == b'\''
            && self.has_token()
            && self.token_end > 0
            && self.formula.as_bytes()[self.token_end - 1] == b':';

        if !is_dollar_ref && !glue_to_token && self.has_token() {
            self.save_token();
            self.start_token();
        }

        let string_start = if is_dollar_ref {
            self.token_start
        } else {
            self.offset
        };
        self.offset += 1;

        while self.offset < self.formula.len() {
            if self.formula.as_bytes()[self.offset] == delim {
                self.offset += 1;
                if self.offset < self.formula.len() && self.formula.as_bytes()[self.offset] == delim
                {
                    self.offset += 1;
                } else {
                    if delim == b'"' {
                        let value_str = &self.formula[string_start..self.offset];
                        let subtype = operand_subtype(value_str);
                        self.push_span(TokenType::Operand, subtype, string_start, self.offset);
                        self.start_token();
                    } else {
                        self.token_end = self.offset;
                    }
                    return Ok(());
                }
            } else {
                self.offset += 1;
            }
        }

        Err(SpanTokenizerError {
            kind: SpanTokenizerErrorKind::UnterminatedString,
            pos: self.offset,
            message: "Reached end of formula while parsing string".to_string(),
            span_start: Some(string_start),
            span_end: Some(self.formula.len()),
        })
    }

    fn parse_brackets(&mut self) -> Result<(), SpanTokenizerError> {
        assert_eq!(self.formula.as_bytes()[self.offset], b'[');

        if !self.has_token() {
            self.start_token();
        }

        let bracket_start = self.offset;
        let mut open_count = 1;
        self.offset += 1;

        while self.offset < self.formula.len() {
            match self.formula.as_bytes()[self.offset] {
                // OOXML structured-reference escape: a single apostrophe makes
                // the next byte literal (used to embed `[`, `]`, `'`, or `#`
                // inside a column name). Skip the following byte without
                // updating nesting depth.
                b'\'' => {
                    if self.offset + 1 < self.formula.len() {
                        self.offset += 2;
                        continue;
                    }
                    // Trailing apostrophe inside brackets is malformed; fall
                    // through so the loop ends with an UnmatchedBracket error.
                    self.offset += 1;
                    continue;
                }
                b'[' => open_count += 1,
                b']' => {
                    open_count -= 1;
                    if open_count == 0 {
                        self.offset += 1;
                        self.extend_token();
                        return Ok(());
                    }
                }
                _ => {}
            }
            self.offset += 1;
        }

        Err(SpanTokenizerError {
            kind: SpanTokenizerErrorKind::UnmatchedBracket,
            pos: self.offset,
            message: "Encountered unmatched '['".to_string(),
            span_start: Some(bracket_start),
            span_end: Some(self.formula.len()),
        })
    }

    fn parse_error(&mut self) -> Result<(), SpanTokenizerError> {
        // OOXML serializes broken sheet-qualified references as `Sheet1!#REF!`.
        // When an accumulated token ends with `!`, treat the prefix as a sheet
        // qualifier and discard it: the resulting AST is identical to the bare
        // error literal `=#REF!`, preserving the error kind via the matched
        // `ERROR_CODES` entry below.
        let has_sheet_prefix = self.has_token()
            && self.token_end > 0
            && self.formula.as_bytes()[self.token_end - 1] == b'!';
        if has_sheet_prefix {
            if self.token_end - self.token_start <= 1 {
                return Err(SpanTokenizerError {
                    kind: SpanTokenizerErrorKind::InvalidErrorLiteral,
                    pos: self.offset,
                    message: format!(
                        "Empty sheet qualifier before error literal at position {}",
                        self.offset
                    ),
                    span_start: Some(self.token_start),
                    span_end: Some(self.offset),
                });
            }
            // Discard the sheet prefix; the error kind is what matters.
            self.start_token();
        } else if self.has_token() {
            self.save_token();
            self.start_token();
        }

        let error_start = self.offset;

        for &err_code in ERROR_CODES {
            let err_bytes = err_code.as_bytes();
            if self.offset + err_bytes.len() <= self.formula.len() {
                let slice = &self.formula.as_bytes()[self.offset..self.offset + err_bytes.len()];
                if slice.eq_ignore_ascii_case(err_bytes) {
                    self.push_span(
                        TokenType::Operand,
                        TokenSubType::Error,
                        error_start,
                        self.offset + err_bytes.len(),
                    );
                    self.offset += err_bytes.len();
                    self.start_token();
                    return Ok(());
                }
            }
        }

        let mut end = self.offset + 1;
        while end < self.formula.len() {
            let ch = self.formula.as_bytes()[end];
            if is_token_ender(ch)
                || ch == b' '
                || ch == b'\n'
                || ch == b'('
                || ch == b'{'
                || ch == b'['
                || ch == b'"'
                || ch == b'\''
            {
                break;
            }
            end += 1;
        }

        Err(SpanTokenizerError {
            kind: SpanTokenizerErrorKind::InvalidErrorLiteral,
            pos: self.offset,
            message: format!("Invalid error code at position {}", self.offset),
            span_start: Some(error_start),
            span_end: Some(end),
        })
    }

    fn parse_whitespace(&mut self) -> Result<(), SpanTokenizerError> {
        self.save_token();

        let ws_start = self.offset;
        while self.offset < self.formula.len() {
            match self.formula.as_bytes()[self.offset] {
                b' ' | b'\n' => self.offset += 1,
                _ => break,
            }
        }

        let token_type = if self.prev_is_reference_producing()
            && next_starts_reference_expression(self.formula, self.offset)
        {
            TokenType::OpInfix
        } else {
            TokenType::Whitespace
        };
        self.push_span(token_type, TokenSubType::None, ws_start, self.offset);
        self.start_token();
        Ok(())
    }

    fn prev_is_reference_producing(&self) -> bool {
        match self.prev_non_whitespace() {
            Some(prev) => match prev.token_type {
                TokenType::OpPostfix => true,
                TokenType::Paren | TokenType::Func | TokenType::Array
                    if prev.subtype == TokenSubType::Close =>
                {
                    true
                }
                TokenType::Operand if prev.subtype == TokenSubType::Range => self
                    .formula
                    .get(prev.start..prev.end)
                    .is_some_and(is_reference_operand_value),
                _ => false,
            },
            None => false,
        }
    }

    fn should_emit_colon_infix(&self) -> bool {
        if self.has_token() {
            let value = &self.formula[self.token_start..self.token_end];
            if value.ends_with('!') {
                return false;
            }
            return reference_value_contains_range_colon(value)
                || value.contains('[')
                || (value.contains('!')
                    && next_reference_has_sheet_qualifier(self.formula, self.offset + 1));
        }
        self.prev_is_reference_producing()
    }

    fn emit_infix_operator(&mut self, start: usize, end: usize) {
        self.save_token();
        self.start_token();
        self.push_span(TokenType::OpInfix, TokenSubType::None, start, end);
        self.offset = end;
        self.start_token();
    }

    fn prev_non_whitespace(&self) -> Option<&TokenSpan> {
        self.spans
            .iter()
            .rev()
            .find(|t| t.token_type != TokenType::Whitespace)
    }

    /// Decide whether a `#` at `self.offset` should be emitted as a spill
    /// postfix operator (`OpPostfix`) instead of routed to the error-literal
    /// parser. The rule mirrors the space-operator gating: `#` is postfix when
    /// it follows a reference-producing token.
    fn should_emit_hash_postfix(&self) -> bool {
        if self.has_token() {
            // An accumulated token whose last byte is `!` is a sheet/file
            // qualifier (e.g. `Sheet1!`). Defer to `parse_error` so it can
            // merge `Sheet1!` + `#REF!` into a single qualified-error operand.
            if self.formula.as_bytes()[self.token_end - 1] == b'!' {
                return false;
            }
            let value = &self.formula[self.token_start..self.token_end];
            return operand_subtype(value) == TokenSubType::Range;
        }
        match self.prev_non_whitespace() {
            Some(prev) => match prev.token_type {
                TokenType::OpPostfix => true,
                TokenType::Paren | TokenType::Func | TokenType::Array
                    if prev.subtype == TokenSubType::Close =>
                {
                    true
                }
                TokenType::Operand if prev.subtype == TokenSubType::Range => true,
                _ => false,
            },
            None => false,
        }
    }

    fn emit_hash_postfix(&mut self) {
        self.save_token();
        self.start_token();
        self.push_span(
            TokenType::OpPostfix,
            TokenSubType::None,
            self.offset,
            self.offset + 1,
        );
        self.offset += 1;
        self.start_token();
    }

    fn parse_operator(&mut self) -> Result<(), SpanTokenizerError> {
        self.save_token();

        if self.offset + 1 < self.formula.len() {
            let two_char = &self.formula.as_bytes()[self.offset..self.offset + 2];
            if two_char == b">=" || two_char == b"<=" || two_char == b"<>" {
                self.push_span(
                    TokenType::OpInfix,
                    TokenSubType::None,
                    self.offset,
                    self.offset + 2,
                );
                self.offset += 2;
                self.start_token();
                return Ok(());
            }
        }

        let curr_byte = self.formula.as_bytes()[self.offset];
        let token_type = match curr_byte {
            b'@' => TokenType::OpPrefix,
            b'%' => TokenType::OpPostfix,
            b'+' | b'-' => {
                if self.spans.is_empty() {
                    TokenType::OpPrefix
                } else {
                    let prev = self.prev_non_whitespace();
                    if let Some(p) = prev {
                        if p.subtype == TokenSubType::Close
                            || p.token_type == TokenType::OpPostfix
                            || p.token_type == TokenType::Operand
                        {
                            TokenType::OpInfix
                        } else {
                            TokenType::OpPrefix
                        }
                    } else {
                        TokenType::OpPrefix
                    }
                }
            }
            _ => TokenType::OpInfix,
        };

        self.push_span(token_type, TokenSubType::None, self.offset, self.offset + 1);
        self.offset += 1;
        self.start_token();
        Ok(())
    }

    fn parse_opener(&mut self) -> Result<(), SpanTokenizerError> {
        let curr_byte = self.formula.as_bytes()[self.offset];
        assert!(curr_byte == b'(' || curr_byte == b'{');

        let token = if curr_byte == b'{' {
            self.save_token();
            TokenSpan {
                token_type: TokenType::Array,
                subtype: TokenSubType::Open,
                start: self.offset,
                end: self.offset + 1,
            }
        } else if self.has_token() {
            let token = TokenSpan {
                token_type: TokenType::Func,
                subtype: TokenSubType::Open,
                start: self.token_start,
                end: self.offset + 1,
            };
            self.token_start = self.offset + 1;
            self.token_end = self.offset + 1;
            token
        } else {
            TokenSpan {
                token_type: TokenType::Paren,
                subtype: TokenSubType::Open,
                start: self.offset,
                end: self.offset + 1,
            }
        };

        self.spans.push(token);
        self.token_stack.push(token);
        self.offset += 1;
        self.start_token();
        Ok(())
    }

    fn parse_closer(&mut self) -> Result<(), SpanTokenizerError> {
        self.save_token();

        let curr_byte = self.formula.as_bytes()[self.offset];
        assert!(curr_byte == b')' || curr_byte == b'}');

        if let Some(open_token) = self.token_stack.last().copied() {
            let expected = if open_token.token_type == TokenType::Array {
                b'}'
            } else {
                b')'
            };
            if curr_byte != expected {
                return Err(SpanTokenizerError {
                    kind: SpanTokenizerErrorKind::MismatchedPair,
                    pos: self.offset,
                    message: "Mismatched ( and { pair".to_string(),
                    span_start: Some(self.offset),
                    span_end: Some(self.offset + 1),
                });
            }

            self.token_stack.pop();
            self.push_span(
                open_token.token_type,
                TokenSubType::Close,
                self.offset,
                self.offset + 1,
            );
        } else {
            return Err(SpanTokenizerError {
                kind: SpanTokenizerErrorKind::NoMatchingOpener,
                pos: self.offset,
                message: format!("No matching opener for closer at position {}", self.offset),
                span_start: Some(self.offset),
                span_end: Some(self.offset + 1),
            });
        }

        self.offset += 1;
        self.start_token();
        Ok(())
    }

    fn parse_separator(&mut self) -> Result<(), SpanTokenizerError> {
        self.save_token();

        let curr_byte = self.formula.as_bytes()[self.offset];
        assert!(curr_byte == b';' || curr_byte == b',');

        let top_token = self.token_stack.last();
        let in_function_or_array = matches!(
            top_token.map(|t| t.token_type),
            Some(TokenType::Func | TokenType::Array)
        );
        let in_array = matches!(top_token.map(|t| t.token_type), Some(TokenType::Array));

        let (token_type, subtype) = match curr_byte {
            b',' => {
                if in_function_or_array {
                    (TokenType::Sep, TokenSubType::Arg)
                } else {
                    (TokenType::OpInfix, TokenSubType::None)
                }
            }
            b';' => {
                if in_array {
                    (TokenType::Sep, TokenSubType::Row)
                } else if self.dialect == FormulaDialect::OpenFormula && in_function_or_array {
                    (TokenType::Sep, TokenSubType::Arg)
                } else if self.dialect == FormulaDialect::OpenFormula {
                    (TokenType::OpInfix, TokenSubType::None)
                } else {
                    (TokenType::Sep, TokenSubType::Row)
                }
            }
            _ => (TokenType::OpInfix, TokenSubType::None),
        };

        self.push_span(token_type, subtype, self.offset, self.offset + 1);
        self.offset += 1;
        self.start_token();
        Ok(())
    }
}

/// A tokenizer for Excel worksheet formulas.
pub struct Tokenizer {
    formula: String, // The formula string
    pub items: Vec<Token>,
    token_stack: Vec<Token>,
    offset: usize,      // Byte offset in formula
    token_start: usize, // Start of current token
    token_end: usize,   // End of current token
    dialect: FormulaDialect,
}

impl Tokenizer {
    /// Create a new tokenizer and immediately parse the formula.
    pub fn new(formula: &str) -> Result<Self, TokenizerError> {
        Self::new_with_dialect(formula, FormulaDialect::Excel)
    }

    /// Create a new tokenizer with best-effort parsing (never fails).
    pub fn new_best_effort(formula: &str) -> Self {
        Self::new_best_effort_with_dialect(formula, FormulaDialect::Excel)
    }

    /// Create a new tokenizer with best-effort parsing for the specified dialect.
    pub fn new_best_effort_with_dialect(formula: &str, dialect: FormulaDialect) -> Self {
        let stream = TokenStream::new_best_effort_with_dialect(formula, dialect);
        Self::from_token_stream(&stream)
    }

    /// Create a new tokenizer for the specified formula dialect.
    pub fn new_with_dialect(
        formula: &str,
        dialect: FormulaDialect,
    ) -> Result<Self, TokenizerError> {
        let mut tokenizer = Tokenizer {
            formula: formula.to_string(),
            items: Vec::with_capacity(formula.len() / 2), // Reasonable estimate
            token_stack: Vec::with_capacity(16),
            offset: 0,
            token_start: 0,
            token_end: 0,
            dialect,
        };
        tokenizer.parse()?;
        Ok(tokenizer)
    }

    pub fn from_token_stream(stream: &TokenStream) -> Self {
        Tokenizer {
            formula: stream.source.to_string(),
            items: stream.to_tokens(),
            token_stack: Vec::with_capacity(16),
            offset: 0,
            token_start: 0,
            token_end: 0,
            dialect: stream.dialect,
        }
    }

    /// Get byte at current offset
    #[inline]
    fn current_byte(&self) -> Option<u8> {
        self.formula.as_bytes().get(self.offset).copied()
    }

    /// Check if we have a token accumulated
    #[inline]
    fn has_token(&self) -> bool {
        self.token_end > self.token_start
    }

    /// Start a new token at current position
    #[inline]
    fn start_token(&mut self) {
        self.token_start = self.offset;
        self.token_end = self.offset;
    }

    /// Extend current token to current position
    #[inline]
    fn extend_token(&mut self) {
        self.token_end = self.offset;
    }

    /// Parse the formula into tokens.
    fn parse(&mut self) -> Result<(), TokenizerError> {
        if self.formula.is_empty() {
            return Ok(());
        }

        // Check for literal formula (doesn't start with '=')
        if self.formula.as_bytes()[0] != b'=' {
            self.items.push(Token::new_with_span(
                self.formula.clone(),
                TokenType::Literal,
                TokenSubType::None,
                0,
                self.formula.len(),
            ));
            return Ok(());
        }

        // Skip the '=' character
        self.offset = 1;
        self.start_token();

        while self.offset < self.formula.len() {
            if self.check_scientific_notation()? {
                continue;
            }

            let curr_byte = self.formula.as_bytes()[self.offset];

            // Check if this ends a token
            if is_token_ender(curr_byte) && self.has_token() {
                self.save_token();
                self.start_token();
            }

            // Dispatch based on the current character
            match curr_byte {
                b'"' | b'\'' => self.parse_string()?,
                b'[' => self.parse_brackets()?,
                b'#' => {
                    if self.should_emit_hash_postfix() {
                        self.emit_hash_postfix();
                    } else {
                        self.parse_error()?
                    }
                }
                b' ' | b'\n' => self.parse_whitespace()?,
                b':' => {
                    if self.should_emit_colon_infix() {
                        self.emit_infix_operator(self.offset, self.offset + 1);
                    } else {
                        if !self.has_token() {
                            self.start_token();
                        }
                        self.offset += 1;
                        self.extend_token();
                    }
                }
                // operator characters
                b'+' | b'-' | b'*' | b'/' | b'^' | b'&' | b'=' | b'>' | b'<' | b'%' | b'@' => {
                    self.parse_operator()?
                }
                b'{' | b'(' => self.parse_opener()?,
                b')' | b'}' => self.parse_closer()?,
                b';' | b',' => self.parse_separator()?,
                _ => {
                    // Accumulate into current token
                    if !self.has_token() {
                        self.start_token();
                    }
                    self.offset += 1;
                    self.extend_token();
                }
            }
        }

        // Save any remaining token
        if self.has_token() {
            self.save_token();
        }

        // Check for unmatched opening parentheses/brackets
        if !self.token_stack.is_empty() {
            return Err(TokenizerError {
                message: "Unmatched opening parenthesis or bracket".to_string(),
                pos: self.offset,
            });
        }

        Ok(())
    }

    /// If the current token looks like a number in scientific notation,
    /// consume the '+' or '-' as part of the number.
    ///
    /// The `+`/`-` is only consumed when the next byte is an ASCII digit.
    /// Without that one-byte lookahead, inputs like `=1e+` and `=1E-A1`
    /// would be silently absorbed into a single (invalid) numeric token
    /// and surface later as a `NamedRange`. See issue #78.
    fn check_scientific_notation(&mut self) -> Result<bool, TokenizerError> {
        if let Some(curr_byte) = self.current_byte() {
            if (curr_byte == b'+' || curr_byte == b'-')
                && self.has_token()
                && self.is_scientific_notation_base()
                && self
                    .formula
                    .as_bytes()
                    .get(self.offset + 1)
                    .is_some_and(|b| b.is_ascii_digit())
            {
                self.offset += 1;
                self.extend_token();
                return Ok(true);
            }
        }
        Ok(false)
    }

    /// Helper: Determine if the current accumulated token is the base of a
    /// scientific notation number (e.g., "1.23E" or "9e").
    fn is_scientific_notation_base(&self) -> bool {
        if !self.has_token() {
            return false;
        }

        let token_slice = &self.formula.as_bytes()[self.token_start..self.token_end];
        if token_slice.len() < 2 {
            return false;
        }

        let last = token_slice[token_slice.len() - 1];
        if !(last == b'E' || last == b'e') {
            return false;
        }

        let first = token_slice[0];
        if !first.is_ascii_digit() {
            return false;
        }

        let mut dot_seen = false;
        // Check middle characters
        for &ch in &token_slice[1..token_slice.len() - 1] {
            match ch {
                b'0'..=b'9' => {}
                b'.' if !dot_seen => dot_seen = true,
                _ => return false,
            }
        }
        true
    }

    /// If there is an accumulated token, convert it to an operand token and add it to the list.
    fn save_token(&mut self) {
        if self.has_token() {
            let token =
                Token::make_operand_from_slice(&self.formula, self.token_start, self.token_end);
            self.items.push(token);
        }
    }

    /// Parse a string (or link) literal.
    fn parse_string(&mut self) -> Result<(), TokenizerError> {
        let delim = self.formula.as_bytes()[self.offset];
        assert!(delim == b'"' || delim == b'\'');

        // Check for dollar reference special case
        let is_dollar_ref = delim == b'\''
            && self.has_token()
            && self.token_end - self.token_start == 1
            && self.formula.as_bytes()[self.token_start] == b'$';

        // Issue #79: only the single-quote path should keep accumulating
        // onto a `:`-terminated token (e.g. `A1:'Other Sheet'!B2`). For
        // double-quoted string literals, always flush the pending token so
        // that the prefix (e.g. `A1:`) is not silently discarded.
        let glue_to_token = delim == b'\''
            && self.has_token()
            && self.token_end > 0
            && self.formula.as_bytes()[self.token_end - 1] == b':';

        if !is_dollar_ref && !glue_to_token && self.has_token() {
            self.save_token();
            self.start_token();
        }

        let string_start = if is_dollar_ref {
            self.token_start
        } else {
            self.offset
        };
        self.offset += 1; // Skip opening delimiter

        while self.offset < self.formula.len() {
            if self.formula.as_bytes()[self.offset] == delim {
                self.offset += 1;
                // Check for escaped quote
                if self.offset < self.formula.len() && self.formula.as_bytes()[self.offset] == delim
                {
                    self.offset += 1; // Skip escaped quote
                } else {
                    // End of string
                    if delim == b'"' {
                        let token = Token::make_operand_from_slice(
                            &self.formula,
                            string_start,
                            self.offset,
                        );
                        self.items.push(token);
                        self.start_token();
                    } else {
                        // Single-quoted string becomes part of current token
                        self.token_end = self.offset;
                    }
                    return Ok(());
                }
            } else {
                self.offset += 1;
            }
        }

        Err(TokenizerError {
            message: "Reached end of formula while parsing string".to_string(),
            pos: self.offset,
        })
    }

    /// Parse the text between matching square brackets.
    fn parse_brackets(&mut self) -> Result<(), TokenizerError> {
        assert_eq!(self.formula.as_bytes()[self.offset], b'[');

        if !self.has_token() {
            self.start_token();
        }

        let mut open_count = 1;
        self.offset += 1;

        while self.offset < self.formula.len() {
            match self.formula.as_bytes()[self.offset] {
                // OOXML structured-reference escape: a single apostrophe makes
                // the next byte literal (used to embed `[`, `]`, `'`, or `#`
                // inside a column name). Skip the following byte without
                // updating nesting depth.
                b'\'' => {
                    if self.offset + 1 < self.formula.len() {
                        self.offset += 2;
                        continue;
                    }
                    self.offset += 1;
                    continue;
                }
                b'[' => open_count += 1,
                b']' => {
                    open_count -= 1;
                    if open_count == 0 {
                        self.offset += 1;
                        self.extend_token();
                        return Ok(());
                    }
                }
                _ => {}
            }
            self.offset += 1;
        }

        Err(TokenizerError {
            message: "Encountered unmatched '['".to_string(),
            pos: self.offset,
        })
    }

    /// See `SpanTokenizer::should_emit_hash_postfix` for rationale.
    fn should_emit_hash_postfix(&self) -> bool {
        if self.has_token() {
            if self.formula.as_bytes()[self.token_end - 1] == b'!' {
                return false;
            }
            let value = &self.formula[self.token_start..self.token_end];
            // Mirror `make_operand_from_slice` subtype detection: the
            // accumulated token forms a Range operand iff it isn't a quoted
            // string, error literal, boolean, or number.
            let is_range = !value.starts_with('"')
                && !value.starts_with('#')
                && value != "TRUE"
                && value != "FALSE"
                && value.parse::<f64>().is_err();
            return is_range;
        }
        let prev = self
            .items
            .iter()
            .rev()
            .find(|t| t.token_type != TokenType::Whitespace);
        match prev {
            Some(p) => match p.token_type {
                TokenType::OpPostfix => true,
                TokenType::Paren | TokenType::Func | TokenType::Array
                    if p.subtype == TokenSubType::Close =>
                {
                    true
                }
                TokenType::Operand if p.subtype == TokenSubType::Range => true,
                _ => false,
            },
            None => false,
        }
    }

    fn emit_hash_postfix(&mut self) {
        self.save_token();
        self.start_token();
        self.items.push(Token::from_slice(
            &self.formula,
            TokenType::OpPostfix,
            TokenSubType::None,
            self.offset,
            self.offset + 1,
        ));
        self.offset += 1;
        self.start_token();
    }

    /// Parse an error literal that starts with '#'.
    fn parse_error(&mut self) -> Result<(), TokenizerError> {
        // OOXML serializes broken sheet-qualified references as `Sheet1!#REF!`.
        // When an accumulated token ends with `!`, treat the prefix as a sheet
        // qualifier and discard it: the resulting AST is identical to the bare
        // error literal `=#REF!`, preserving the error kind via `ERROR_CODES`.
        let has_sheet_prefix = self.has_token()
            && self.token_end > 0
            && self.formula.as_bytes()[self.token_end - 1] == b'!';
        if has_sheet_prefix {
            if self.token_end - self.token_start <= 1 {
                return Err(TokenizerError {
                    message: format!(
                        "Empty sheet qualifier before error literal at position {}",
                        self.offset
                    ),
                    pos: self.offset,
                });
            }
            // Discard the sheet prefix; the error kind is what matters.
            self.start_token();
        } else if self.has_token() {
            self.save_token();
            self.start_token();
        }

        let error_start = self.offset;

        // Try to match error codes
        for &err_code in ERROR_CODES {
            let err_bytes = err_code.as_bytes();
            if self.offset + err_bytes.len() <= self.formula.len() {
                let slice = &self.formula.as_bytes()[self.offset..self.offset + err_bytes.len()];
                if slice.eq_ignore_ascii_case(err_bytes) {
                    let token = Token::make_operand_from_slice(
                        &self.formula,
                        error_start,
                        self.offset + err_bytes.len(),
                    );
                    self.items.push(token);
                    self.offset += err_bytes.len();
                    self.start_token();
                    return Ok(());
                }
            }
        }

        Err(TokenizerError {
            message: format!("Invalid error code at position {}", self.offset),
            pos: self.offset,
        })
    }

    /// Parse a sequence of whitespace characters.
    fn parse_whitespace(&mut self) -> Result<(), TokenizerError> {
        self.save_token();

        let ws_start = self.offset;
        while self.offset < self.formula.len() {
            match self.formula.as_bytes()[self.offset] {
                b' ' | b'\n' => self.offset += 1,
                _ => break,
            }
        }

        let token_type = if self.prev_is_reference_producing()
            && next_starts_reference_expression(&self.formula, self.offset)
        {
            TokenType::OpInfix
        } else {
            TokenType::Whitespace
        };

        self.items.push(Token::from_slice(
            &self.formula,
            token_type,
            TokenSubType::None,
            ws_start,
            self.offset,
        ));
        self.start_token();
        Ok(())
    }

    fn prev_non_whitespace(&self) -> Option<&Token> {
        self.items
            .iter()
            .rev()
            .find(|t| t.token_type != TokenType::Whitespace)
    }

    fn prev_is_reference_producing(&self) -> bool {
        match self.prev_non_whitespace() {
            Some(prev) => match prev.token_type {
                TokenType::OpPostfix => true,
                TokenType::Paren | TokenType::Func | TokenType::Array
                    if prev.subtype == TokenSubType::Close =>
                {
                    true
                }
                TokenType::Operand if prev.subtype == TokenSubType::Range => {
                    is_reference_operand_value(&prev.value)
                }
                _ => false,
            },
            None => false,
        }
    }

    fn should_emit_colon_infix(&self) -> bool {
        if self.has_token() {
            let value = &self.formula[self.token_start..self.token_end];
            if value.ends_with('!') {
                return false;
            }
            return reference_value_contains_range_colon(value)
                || value.contains('[')
                || (value.contains('!')
                    && next_reference_has_sheet_qualifier(&self.formula, self.offset + 1));
        }
        self.prev_is_reference_producing()
    }

    fn emit_infix_operator(&mut self, start: usize, end: usize) {
        self.save_token();
        self.start_token();
        self.items.push(Token::from_slice(
            &self.formula,
            TokenType::OpInfix,
            TokenSubType::None,
            start,
            end,
        ));
        self.offset = end;
        self.start_token();
    }

    /// Parse an operator token.
    fn parse_operator(&mut self) -> Result<(), TokenizerError> {
        self.save_token();

        // Check for two-character operators
        if self.offset + 1 < self.formula.len() {
            let two_char = &self.formula.as_bytes()[self.offset..self.offset + 2];
            if two_char == b">=" || two_char == b"<=" || two_char == b"<>" {
                self.items.push(Token::from_slice(
                    &self.formula,
                    TokenType::OpInfix,
                    TokenSubType::None,
                    self.offset,
                    self.offset + 2,
                ));
                self.offset += 2;
                self.start_token();
                return Ok(());
            }
        }

        let curr_byte = self.formula.as_bytes()[self.offset];
        let token_type = match curr_byte {
            b'@' => TokenType::OpPrefix,
            b'%' => TokenType::OpPostfix,
            b'+' | b'-' => {
                // Determine if prefix or infix
                if self.items.is_empty() {
                    TokenType::OpPrefix
                } else {
                    let prev = self
                        .items
                        .iter()
                        .rev()
                        .find(|t| t.token_type != TokenType::Whitespace);
                    if let Some(p) = prev {
                        if p.subtype == TokenSubType::Close
                            || p.token_type == TokenType::OpPostfix
                            || p.token_type == TokenType::Operand
                        {
                            TokenType::OpInfix
                        } else {
                            TokenType::OpPrefix
                        }
                    } else {
                        TokenType::OpPrefix
                    }
                }
            }
            _ => TokenType::OpInfix,
        };

        self.items.push(Token::from_slice(
            &self.formula,
            token_type,
            TokenSubType::None,
            self.offset,
            self.offset + 1,
        ));
        self.offset += 1;
        self.start_token();
        Ok(())
    }

    /// Parse an opener token – either '(' or '{'.
    fn parse_opener(&mut self) -> Result<(), TokenizerError> {
        let curr_byte = self.formula.as_bytes()[self.offset];
        assert!(curr_byte == b'(' || curr_byte == b'{');

        let token = if curr_byte == b'{' {
            self.save_token();
            Token::make_subexp_from_slice(&self.formula, false, self.offset, self.offset + 1)
        } else if self.has_token() {
            // Function call
            let token = Token::make_subexp_from_slice(
                &self.formula,
                true,
                self.token_start,
                self.offset + 1,
            );
            self.token_start = self.offset + 1;
            self.token_end = self.offset + 1;
            token
        } else {
            Token::make_subexp_from_slice(&self.formula, false, self.offset, self.offset + 1)
        };

        self.items.push(token.clone());
        self.token_stack.push(token);
        self.offset += 1;
        self.start_token();
        Ok(())
    }

    /// Parse a closer token – either ')' or '}'.
    fn parse_closer(&mut self) -> Result<(), TokenizerError> {
        self.save_token();

        let curr_byte = self.formula.as_bytes()[self.offset];
        assert!(curr_byte == b')' || curr_byte == b'}');

        if let Some(open_token) = self.token_stack.pop() {
            let closer = open_token.get_closer()?;
            if (curr_byte == b'}' && closer.value != "}")
                || (curr_byte == b')' && closer.value != ")")
            {
                return Err(TokenizerError {
                    message: "Mismatched ( and { pair".to_string(),
                    pos: self.offset,
                });
            }

            self.items.push(Token::from_slice(
                &self.formula,
                closer.token_type,
                TokenSubType::Close,
                self.offset,
                self.offset + 1,
            ));
        } else {
            return Err(TokenizerError {
                message: format!("No matching opener for closer at position {}", self.offset),
                pos: self.offset,
            });
        }

        self.offset += 1;
        self.start_token();
        Ok(())
    }

    /// Parse a separator token – either ',' or ';'.
    fn parse_separator(&mut self) -> Result<(), TokenizerError> {
        self.save_token();

        let curr_byte = self.formula.as_bytes()[self.offset];
        assert!(curr_byte == b';' || curr_byte == b',');

        let top_token = self.token_stack.last();
        let in_function_or_array = matches!(
            top_token.map(|t| t.token_type),
            Some(TokenType::Func | TokenType::Array)
        );
        let in_array = matches!(top_token.map(|t| t.token_type), Some(TokenType::Array));

        let (token_type, subtype) = match curr_byte {
            b',' => {
                if in_function_or_array {
                    (TokenType::Sep, TokenSubType::Arg)
                } else {
                    (TokenType::OpInfix, TokenSubType::None)
                }
            }
            b';' => {
                if in_array {
                    // Array row separator for both dialects
                    (TokenType::Sep, TokenSubType::Row)
                } else if self.dialect == FormulaDialect::OpenFormula && in_function_or_array {
                    // OpenFormula uses ';' for argument separators inside functions
                    (TokenType::Sep, TokenSubType::Arg)
                } else if self.dialect == FormulaDialect::OpenFormula {
                    (TokenType::OpInfix, TokenSubType::None)
                } else {
                    (TokenType::Sep, TokenSubType::Row)
                }
            }
            _ => (TokenType::OpInfix, TokenSubType::None),
        };

        self.items.push(Token::from_slice(
            &self.formula,
            token_type,
            subtype,
            self.offset,
            self.offset + 1,
        ));

        self.offset += 1;
        self.start_token();
        Ok(())
    }

    /// Reconstruct the formula from the parsed tokens.
    pub fn render(&self) -> String {
        if self.items.is_empty() {
            "".to_string()
        } else if self.items[0].token_type == TokenType::Literal {
            self.items[0].value.clone()
        } else {
            let concatenated: String = self.items.iter().map(|t| t.value.clone()).collect();
            format!("={concatenated}")
        }
    }

    /// Return the dialect used when tokenizing this formula.
    pub fn dialect(&self) -> FormulaDialect {
        self.dialect
    }
}

impl TryFrom<&str> for Tokenizer {
    type Error = TokenizerError;

    fn try_from(value: &str) -> Result<Self, Self::Error> {
        Tokenizer::new(value)
    }
}

impl TryFrom<String> for Tokenizer {
    type Error = TokenizerError;

    fn try_from(value: String) -> Result<Self, Self::Error> {
        Tokenizer::new(&value)
    }
}