panache_parser/parser/inlines/

math.rs

//! Math parsing for both inline and display math.
//!
//! This module handles all math-related parsing:
//! - **Inline math**: `$...$`, `\(...\)`, `\\(...\\)` - single line only
//! - **Display math**: `$$...$$`, `\[...\]`, `\\[...\\]` - can span multiple lines
//!
//! Display math can appear both inline (within paragraphs) and as block-level elements.
//! The parsing functions return `Option<(usize, &str)>` tuples containing the length
//! consumed and the math content, allowing calling contexts to emit appropriate nodes.

use super::sink::InlineSink;
use crate::parser::blocks::raw_blocks::{extract_environment_name, is_inline_math_environment};
use crate::parser::math::{MathParseOptions, parse_math_content};
use crate::parser::utils::tree_copy::copy_green_node;
use crate::syntax::SyntaxKind;

/// Emit the math content as a structural, lossless `MATH_CONTENT` subtree
/// (brace groups, environments, control sequences, alignment, …) rather than an
/// opaque `TEXT` token, so the formatter and linter can act on its structure.
/// See [`crate::parser::math`]. Lossless: the subtree's text equals `content`.
fn emit_math_content(builder: &mut impl InlineSink, content: &str, opts: MathParseOptions) {
    copy_green_node(builder, &parse_math_content(content, opts));
}

/// Derive math-content parse options from the parser config. Keeps the
/// flavor/extension → math-grammar mapping in one place.
pub fn math_opts(config: &crate::options::ParserOptions) -> MathParseOptions {
    MathParseOptions {
        bookdown_equation_labels: config.extensions.bookdown_equation_references,
    }
}

/// Try to parse an inline math span starting at the current position.
/// Returns the number of characters consumed if successful, or None if not inline math.
///
/// Per Pandoc spec (tex_math_dollars extension):
/// - Opening $ must have non-space character immediately to its right
/// - Closing $ must have non-space character immediately to its left
/// - Closing $ must not be followed immediately by a digit
pub fn try_parse_inline_math(text: &str) -> Option<(usize, &str)> {
    // Must start with exactly one $
    if !text.starts_with('$') || text.starts_with("$$") {
        return None;
    }

    let rest = &text[1..];

    // Opening $ must have non-space character immediately to its right
    if rest.is_empty() || rest.starts_with(char::is_whitespace) {
        return None;
    }

    // Look for closing $
    let mut pos = 0;
    while pos < rest.len() {
        let ch = rest[pos..].chars().next()?;

        if ch == '$' {
            // Check if it's escaped
            if pos > 0 && rest.as_bytes()[pos - 1] == b'\\' {
                // Escaped dollar, continue searching
                pos += 1;
                continue;
            }

            // Closing $ must have non-space character immediately to its left
            if pos == 0 || rest[..pos].ends_with(char::is_whitespace) {
                // Continue searching - this $ doesn't close the math
                pos += 1;
                continue;
            }

            // Closing $ must not be followed immediately by a digit
            if let Some(next_ch) = rest[pos + 1..].chars().next()
                && next_ch.is_ascii_digit()
            {
                // Continue searching - this $ doesn't close the math
                pos += 1;
                continue;
            }

            // Found valid closing $
            let math_content = &rest[..pos];
            let total_len = 1 + pos + 1; // opening $ + content + closing $
            return Some((total_len, math_content));
        }

        // Dollar signs can't span multiple lines
        if ch == '\n' {
            return None;
        }

        pos += ch.len_utf8();
    }

    // No matching close found
    None
}

/// Try to parse GFM inline math: $`...`$
/// Extension: tex_math_gfm
pub fn try_parse_gfm_inline_math(text: &str) -> Option<(usize, &str)> {
    if !text.starts_with("$`") {
        return None;
    }

    let rest = &text[2..];
    if rest.is_empty() {
        return None;
    }

    let mut pos = 0;
    while pos < rest.len() {
        let ch = rest[pos..].chars().next()?;
        if ch == '\n' {
            return None;
        }
        if rest[pos..].starts_with("`$") {
            if pos == 0 {
                return None;
            }
            let math_content = &rest[..pos];
            let total_len = 2 + pos + 2; // $` + content + `$
            return Some((total_len, math_content));
        }
        pos += ch.len_utf8();
    }

    None
}

/// Try to parse single backslash inline math: \(...\)
/// Extension: tex_math_single_backslash
pub fn try_parse_single_backslash_inline_math(text: &str) -> Option<(usize, &str)> {
    if !text.starts_with(r"\(") {
        return None;
    }

    let rest = &text[2..]; // Skip \(

    // Look for closing \)
    let mut pos = 0;
    while pos < rest.len() {
        let ch = rest[pos..].chars().next()?;

        if ch == '\\' && rest[pos..].starts_with(r"\)") {
            // Found closing \)
            let math_content = &rest[..pos];
            let total_len = 2 + pos + 2; // \( + content + \)
            return Some((total_len, math_content));
        }

        // Can't span multiple lines
        if ch == '\n' {
            return None;
        }

        pos += ch.len_utf8();
    }

    None
}

/// Try to parse double backslash inline math: \\(...\\)
/// Extension: tex_math_double_backslash
pub fn try_parse_double_backslash_inline_math(text: &str) -> Option<(usize, &str)> {
    if !text.starts_with(r"\\(") {
        return None;
    }

    let rest = &text[3..]; // Skip \\(

    // Look for closing \\)
    let mut pos = 0;
    while pos < rest.len() {
        let ch = rest[pos..].chars().next()?;

        if ch == '\\' && rest[pos..].starts_with(r"\\)") {
            // Found closing \\)
            let math_content = &rest[..pos];
            let total_len = 3 + pos + 3; // \\( + content + \\)
            return Some((total_len, math_content));
        }

        // Can't span multiple lines
        if ch == '\n' {
            return None;
        }

        pos += ch.len_utf8();
    }

    None
}

/// Try to parse display math ($$...$$) starting at the current position.
/// Returns the number of characters consumed and the math content if successful.
/// Display math can span multiple lines in inline contexts.
///
/// Per Pandoc spec (tex_math_dollars extension):
/// - Opening delimiter is at least $$
/// - Closing delimiter must have at least as many $ as opening
/// - Content can span multiple lines
pub fn try_parse_display_math(text: &str) -> Option<(usize, &str)> {
    // Must start with at least $$
    if !text.starts_with("$$") {
        return None;
    }

    // Count opening dollar signs
    let opening_count = text.chars().take_while(|&c| c == '$').count();
    if opening_count < 2 {
        return None;
    }

    let rest = &text[opening_count..];

    // Look for matching closing delimiter
    let mut pos = 0;
    while pos < rest.len() {
        let ch = rest[pos..].chars().next()?;

        if ch == '$' {
            // Check if it's escaped
            if pos > 0 && rest.as_bytes()[pos - 1] == b'\\' {
                // Escaped dollar, continue searching
                pos += ch.len_utf8();
                continue;
            }

            // Count closing dollar signs
            let closing_count = rest[pos..].chars().take_while(|&c| c == '$').count();

            // Must have at least as many closing dollars as opening
            if closing_count >= opening_count {
                let math_content = &rest[..pos];
                let total_len = opening_count + pos + closing_count;
                return Some((total_len, math_content));
            }

            // Not enough dollars, skip this run and continue
            pos += closing_count;
            continue;
        }

        pos += ch.len_utf8();
    }

    // No matching close found
    None
}

/// Try to parse single backslash display math: \[...\]
/// Extension: tex_math_single_backslash
///
/// Per Pandoc spec:
/// - Content can span multiple lines
/// - No escape handling needed (backslash is the delimiter)
pub fn try_parse_single_backslash_display_math(text: &str) -> Option<(usize, &str)> {
    if !text.starts_with(r"\[") {
        return None;
    }

    let rest = &text[2..]; // Skip \[

    // Look for closing \]
    let mut pos = 0;
    while pos < rest.len() {
        let ch = rest[pos..].chars().next()?;

        if ch == '\\' && rest[pos..].starts_with(r"\]") {
            // Found closing \]
            let math_content = &rest[..pos];
            let total_len = 2 + pos + 2; // \[ + content + \]
            return Some((total_len, math_content));
        }

        pos += ch.len_utf8();
    }

    None
}

/// Try to parse double backslash display math: \\[...\\]
/// Extension: tex_math_double_backslash
///
/// Per Pandoc spec:
/// - Content can span multiple lines
/// - Double backslash is the delimiter
pub fn try_parse_double_backslash_display_math(text: &str) -> Option<(usize, &str)> {
    if !text.starts_with(r"\\[") {
        return None;
    }

    let rest = &text[3..]; // Skip \\[

    // Look for closing \\]
    let mut pos = 0;
    while pos < rest.len() {
        let ch = rest[pos..].chars().next()?;

        if ch == '\\' && rest[pos..].starts_with(r"\\]") {
            // Found closing \\]
            let math_content = &rest[..pos];
            let total_len = 3 + pos + 3; // \\[ + content + \\]
            return Some((total_len, math_content));
        }

        pos += ch.len_utf8();
    }

    None
}

/// Try to parse a LaTeX math environment (\begin{equation}...\end{equation})
/// as display math. Returns (total_len, begin_marker, content, end_marker).
pub fn try_parse_math_environment(text: &str) -> Option<(usize, &str, &str, &str)> {
    let env_name = extract_environment_name(text)?;
    if !is_inline_math_environment(env_name) {
        return None;
    }

    let begin_marker_len = text.find('}')? + 1;
    let begin_marker = &text[..begin_marker_len];
    let end_marker = format!("\\end{{{}}}", env_name);

    let after_begin = &text[begin_marker_len..];
    let end_rel = after_begin.find(&end_marker)?;
    let end_start = begin_marker_len + end_rel;
    let end_marker_end = end_start + end_marker.len();

    let mut end_line_end = end_marker_end;
    while end_line_end < text.len() {
        let ch = text[end_line_end..].chars().next()?;
        if ch == '\n' || ch == '\r' {
            break;
        }
        end_line_end += ch.len_utf8();
    }

    if end_line_end < text.len() {
        if text[end_line_end..].starts_with("\r\n") {
            end_line_end += 2;
        } else {
            end_line_end += 1;
        }
    }

    let content = &text[begin_marker_len..end_start];
    let end_marker_text = &text[end_start..end_line_end];
    Some((end_line_end, begin_marker, content, end_marker_text))
}

/// Emit an inline math node to the builder.
pub fn emit_inline_math(builder: &mut impl InlineSink, content: &str, opts: MathParseOptions) {
    builder.start_node(SyntaxKind::INLINE_MATH.into());

    // Opening $
    builder.token(SyntaxKind::INLINE_MATH_MARKER.into(), "$");

    // Math content
    emit_math_content(builder, content, opts);

    // Closing $
    builder.token(SyntaxKind::INLINE_MATH_MARKER.into(), "$");

    builder.finish_node();
}

/// Emit a GFM inline math node: $`...`$
pub fn emit_gfm_inline_math(builder: &mut impl InlineSink, content: &str, opts: MathParseOptions) {
    builder.start_node(SyntaxKind::INLINE_MATH.into());
    builder.token(SyntaxKind::INLINE_MATH_MARKER.into(), "$`");
    emit_math_content(builder, content, opts);
    builder.token(SyntaxKind::INLINE_MATH_MARKER.into(), "`$");
    builder.finish_node();
}

/// Emit a single backslash inline math node: \(...\)
pub fn emit_single_backslash_inline_math(
    builder: &mut impl InlineSink,
    content: &str,
    opts: MathParseOptions,
) {
    builder.start_node(SyntaxKind::INLINE_MATH.into());

    builder.token(SyntaxKind::INLINE_MATH_MARKER.into(), r"\(");
    emit_math_content(builder, content, opts);
    builder.token(SyntaxKind::INLINE_MATH_MARKER.into(), r"\)");

    builder.finish_node();
}

/// Emit a double backslash inline math node: \\(...\\)
pub fn emit_double_backslash_inline_math(
    builder: &mut impl InlineSink,
    content: &str,
    opts: MathParseOptions,
) {
    builder.start_node(SyntaxKind::INLINE_MATH.into());

    builder.token(SyntaxKind::INLINE_MATH_MARKER.into(), r"\\(");
    emit_math_content(builder, content, opts);
    builder.token(SyntaxKind::INLINE_MATH_MARKER.into(), r"\\)");

    builder.finish_node();
}

/// Emit a display math node to the builder (when occurring inline in paragraph).
pub fn emit_display_math(
    builder: &mut impl InlineSink,
    content: &str,
    dollar_count: usize,
    opts: MathParseOptions,
) {
    builder.start_node(SyntaxKind::DISPLAY_MATH.into());

    // Opening $$
    let marker = "$".repeat(dollar_count);
    builder.token(SyntaxKind::DISPLAY_MATH_MARKER.into(), &marker);

    // Math content
    emit_math_content(builder, content, opts);

    // Closing $$
    builder.token(SyntaxKind::DISPLAY_MATH_MARKER.into(), &marker);

    builder.finish_node();
}

/// Emit a display math environment node using raw \begin...\end... markers.
pub fn emit_display_math_environment(
    builder: &mut impl InlineSink,
    begin_marker: &str,
    content: &str,
    end_marker: &str,
    opts: MathParseOptions,
) {
    builder.start_node(SyntaxKind::DISPLAY_MATH.into());
    builder.token(SyntaxKind::DISPLAY_MATH_MARKER.into(), begin_marker);
    emit_math_content(builder, content, opts);
    builder.token(SyntaxKind::DISPLAY_MATH_MARKER.into(), end_marker);
    builder.finish_node();
}

/// Emit a single backslash display math node: \[...\]
pub fn emit_single_backslash_display_math(
    builder: &mut impl InlineSink,
    content: &str,
    opts: MathParseOptions,
) {
    builder.start_node(SyntaxKind::DISPLAY_MATH.into());

    builder.token(SyntaxKind::DISPLAY_MATH_MARKER.into(), r"\[");
    emit_math_content(builder, content, opts);
    builder.token(SyntaxKind::DISPLAY_MATH_MARKER.into(), r"\]");

    builder.finish_node();
}

/// Emit a double backslash display math node: \\[...\\]
pub fn emit_double_backslash_display_math(
    builder: &mut impl InlineSink,
    content: &str,
    opts: MathParseOptions,
) {
    builder.start_node(SyntaxKind::DISPLAY_MATH.into());

    builder.token(SyntaxKind::DISPLAY_MATH_MARKER.into(), r"\\[");
    emit_math_content(builder, content, opts);
    builder.token(SyntaxKind::DISPLAY_MATH_MARKER.into(), r"\\]");

    builder.finish_node();
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_parse_simple_inline_math() {
        let result = try_parse_inline_math("$x = y$");
        assert_eq!(result, Some((7, "x = y")));
    }

    #[test]
    fn test_parse_inline_math_with_spaces_inside() {
        // Spaces inside math are OK, just not immediately after opening or before closing
        let result = try_parse_inline_math("$a + b$");
        assert_eq!(result, Some((7, "a + b")));
    }

    #[test]
    fn test_parse_inline_math_complex() {
        let result = try_parse_inline_math(r"$\frac{1}{2}$");
        assert_eq!(result, Some((13, r"\frac{1}{2}")));
    }

    #[test]
    fn test_not_inline_math_display() {
        // $$ is display math, not inline
        let result = try_parse_inline_math("$$x = y$$");
        assert_eq!(result, None);
    }

    #[test]
    fn test_inline_math_no_close() {
        let result = try_parse_inline_math("$no close");
        assert_eq!(result, None);
    }

    #[test]
    fn test_inline_math_no_multiline() {
        let result = try_parse_inline_math("$x =\ny$");
        assert_eq!(result, None);
    }

    #[test]
    fn test_not_inline_math() {
        let result = try_parse_inline_math("no dollar");
        assert_eq!(result, None);
    }

    #[test]
    fn test_inline_math_with_trailing_text() {
        let result = try_parse_inline_math("$x$ and more");
        assert_eq!(result, Some((3, "x")));
    }

    #[test]
    fn test_spec_opening_must_have_non_space_right() {
        // Per Pandoc spec: opening $ must have non-space immediately to right
        let result = try_parse_inline_math("$ x$");
        assert_eq!(result, None, "Opening $ with space should not parse");
    }

    #[test]
    fn test_spec_closing_must_have_non_space_left() {
        // Per Pandoc spec: closing $ must have non-space immediately to left
        let result = try_parse_inline_math("$x $");
        assert_eq!(result, None, "Closing $ with space should not parse");
    }

    #[test]
    fn test_spec_closing_not_followed_by_digit() {
        // Per Pandoc spec: closing $ must not be followed by digit
        let result = try_parse_inline_math("$x$5");
        assert_eq!(result, None, "Closing $ followed by digit should not parse");
    }

    #[test]
    fn test_spec_dollar_amounts() {
        // $20,000 should not parse as math
        let result = try_parse_inline_math("$20,000");
        assert_eq!(result, None, "Dollar amounts should not parse as math");
    }

    #[test]
    fn test_valid_math_after_spec_checks() {
        // $x$ alone should still parse
        let result = try_parse_inline_math("$x$");
        assert_eq!(result, Some((3, "x")), "Valid math should parse");
    }

    #[test]
    fn test_math_followed_by_non_digit() {
        // $x$a should parse (not followed by digit)
        let result = try_parse_inline_math("$x$a");
        assert_eq!(
            result,
            Some((3, "x")),
            "Math followed by non-digit should parse"
        );
    }

    // Display math tests
    #[test]
    fn test_parse_display_math_simple() {
        let result = try_parse_display_math("$$x = y$$");
        assert_eq!(result, Some((9, "x = y")));
    }

    #[test]
    fn test_parse_display_math_multiline() {
        let result = try_parse_display_math("$$\nx = y\n$$");
        assert_eq!(result, Some((11, "\nx = y\n")));
    }

    #[test]
    fn test_parse_display_math_triple_dollars() {
        let result = try_parse_display_math("$$$x = y$$$");
        assert_eq!(result, Some((11, "x = y")));
    }

    #[test]
    fn test_parse_display_math_no_close() {
        let result = try_parse_display_math("$$no close");
        assert_eq!(result, None);
    }

    #[test]
    fn test_not_display_math() {
        let result = try_parse_display_math("$single dollar");
        assert_eq!(result, None);
    }

    #[test]
    fn test_display_math_with_trailing_text() {
        let result = try_parse_display_math("$$x = y$$ and more");
        assert_eq!(result, Some((9, "x = y")));
    }

    // Single backslash math tests
    #[test]
    fn test_single_backslash_inline_math() {
        let result = try_parse_single_backslash_inline_math(r"\(x^2\)");
        assert_eq!(result, Some((7, "x^2")));
    }

    #[test]
    fn test_single_backslash_inline_math_complex() {
        let result = try_parse_single_backslash_inline_math(r"\(\frac{a}{b}\)");
        assert_eq!(result, Some((15, r"\frac{a}{b}")));
    }

    #[test]
    fn test_single_backslash_inline_math_no_close() {
        let result = try_parse_single_backslash_inline_math(r"\(no close");
        assert_eq!(result, None);
    }

    #[test]
    fn test_single_backslash_inline_math_no_multiline() {
        let result = try_parse_single_backslash_inline_math("\\(x =\ny\\)");
        assert_eq!(result, None);
    }

    #[test]
    fn test_single_backslash_display_math() {
        let result = try_parse_single_backslash_display_math(r"\[E = mc^2\]");
        assert_eq!(result, Some((12, "E = mc^2")));
    }

    #[test]
    fn test_single_backslash_display_math_multiline() {
        let result = try_parse_single_backslash_display_math("\\[\nx = y\n\\]");
        assert_eq!(result, Some((11, "\nx = y\n")));
    }

    #[test]
    fn test_single_backslash_display_math_no_close() {
        let result = try_parse_single_backslash_display_math(r"\[no close");
        assert_eq!(result, None);
    }

    // Double backslash math tests
    #[test]
    fn test_double_backslash_inline_math() {
        let result = try_parse_double_backslash_inline_math(r"\\(x^2\\)");
        assert_eq!(result, Some((9, "x^2")));
    }

    #[test]
    fn test_double_backslash_inline_math_complex() {
        let result = try_parse_double_backslash_inline_math(r"\\(\alpha + \beta\\)");
        assert_eq!(result, Some((20, r"\alpha + \beta")));
    }

    #[test]
    fn test_double_backslash_inline_math_no_close() {
        let result = try_parse_double_backslash_inline_math(r"\\(no close");
        assert_eq!(result, None);
    }

    #[test]
    fn test_double_backslash_inline_math_no_multiline() {
        let result = try_parse_double_backslash_inline_math("\\\\(x =\ny\\\\)");
        assert_eq!(result, None);
    }

    #[test]
    fn test_double_backslash_display_math() {
        let result = try_parse_double_backslash_display_math(r"\\[E = mc^2\\]");
        assert_eq!(result, Some((14, "E = mc^2")));
    }

    #[test]
    fn test_double_backslash_display_math_multiline() {
        let result = try_parse_double_backslash_display_math("\\\\[\nx = y\n\\\\]");
        assert_eq!(result, Some((13, "\nx = y\n")));
    }

    #[test]
    fn test_double_backslash_display_math_no_close() {
        let result = try_parse_double_backslash_display_math(r"\\[no close");
        assert_eq!(result, None);
    }

    // Additional edge case tests
    #[test]
    fn test_display_math_escaped_dollar() {
        // Escaped dollar should be skipped
        let result = try_parse_display_math(r"$$a = \$100$$");
        assert_eq!(result, Some((13, r"a = \$100")));
    }

    #[test]
    fn test_display_math_with_content_on_fence_line() {
        // Content can appear on same line as opening delimiter
        let result = try_parse_display_math("$$x = y\n$$");
        assert_eq!(result, Some((10, "x = y\n")));
    }
}