服务:Spring Boot 3.2 + docx4j 8.3.9,POST /api/v3/server_office_file/file/parse
接受 .docx,返回 HTML(公式 → LaTeX,图片 → RustFS 外链)
公式支持三类来源:
- OMML(Word 2007+ 公式) → Python omml_mathml2latex
- MathType OLE 对象 → Ruby mathtype2mathml → MathML → LaTeX
- Word EQ 域(老教辅主力) → EqToLatexUtil(本次新增)
本次改动:
1. 新增 java-svc/.../core/EqToLatexUtil.java:
移植自 jby backend-services office-core,EQ 语法 → LaTeX
(\f→\dfrac、\r→\sqrt、\i→\int/\sum/\prod、\s→^{}/_{}、\b→\left\right、
\a→array、\x→\boxed/\overline、\o\al 堆叠、圈码、化学符号、极限、连等式)
品牌标记 JBYU* → WPU*,与采集端一致
2. CtoMathFinder:接上 EQ 分支(原为 not-ported 桩),域代码经
EqToLatexUtil.convert 转 LaTeX 写入 eqLatexMap(WPEQNUM 占位符)
3. WordParseUtil.dealPlaceholder:EQ 的 LaTeX 同样加 \( \) 包裹
(原先因 WPEQNUM 例外不加包裹,前端/MathJax 不渲染)
修前症状:教辅 Word 里分式/方程组/上下标整段丢失(如 {−1/3, 1} 变成 {-,1})
修后实测:46 份教辅 2908 处 EQ 域全部还原,公式总数 2954 处、零未包裹残留
安全:application.yml(含 RustFS 密钥)不入库,提供 application.yml.example;
OssService 的 @Value 默认密钥已清空
470 lines
18 KiB
Python
470 lines
18 KiB
Python
"""
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Visitor for <msup> (superscript) MathML elements.
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The <msup> element represents superscripts in MathML:
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- Powers: x^2, x^n
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- Exponents: e^x, 10^{-3}
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- Indices: a^i, T^{ij}
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- Prime notation: f', f'', f''' (derivatives)
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"""
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from lxml import etree as ET
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from ..core.interfaces import Visitor, Strategy
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from ..core.context import ConversionContext
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from ..utils import text_content as _text_content, local_name as _local
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class MsupVisitor(Visitor):
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"""
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Handles <msup> (superscript) MathML elements.
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This visitor converts superscripts to LaTeX format using ^ notation.
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Special handling for prime notation (derivatives).
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Examples:
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Simple power:
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<msup><mi>x</mi><mn>2</mn></msup> → x^{2}
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Exponent:
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<msup><mi>e</mi><mi>x</mi></msup> → e^{x}
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Complex base:
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<msup>
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<mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow>
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<mn>2</mn>
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</msup>
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→ (x + 1)^{2}
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Complex exponent:
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<msup><mi>x</mi><mrow><mn>2</mn><mi>n</mi></mrow></msup>
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→ x^{2 n}
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Prime notation (derivatives):
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<msup><mi>f</mi><mo>′</mo></msup> → f'
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<msup><mi>f</mi><mo>″</mo></msup> → f''
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<msup><mi>y</mi><mo>‴</mo></msup> → y'''
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"""
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def __init__(self, strategy: Strategy, context: ConversionContext = None):
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"""
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Initialize the Msup visitor.
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Args:
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strategy: The formatting strategy to use
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context: Shared conversion context for state tracking
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"""
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super().__init__(strategy)
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self.context = context
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def visit(self, node: ET.Element) -> str:
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"""
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Convert <msup> element to LaTeX.
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Args:
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node: The <msup> element to convert
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Returns:
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LaTeX superscript string
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Raises:
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ValueError: If node is not an <msup> element
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ValueError: If msup has fewer than 2 children
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"""
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if not self.can_handle(node):
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raise ValueError(f"MsupVisitor cannot handle element '{node.tag}'")
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children = list(node)
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if len(children) < 2:
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raise ValueError(
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f"msup element must have 2 children (base, superscript), "
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f"got {len(children)}"
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)
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# NEW: Check for nested msup and merge if needed
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# Pattern: <msup><mrow><msup>base<sup1></msup></mrow><sup2></msup>
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# Should become: base^{sup1sup2} instead of base^{sup1}^{sup2}
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nested_msup = self._detect_nested_msup(children[0])
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if nested_msup is not None:
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result = self._merge_nested_superscripts(nested_msup, children[1])
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if result:
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base_latex, merged_sup_latex = result
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base_latex = self._wrap_if_needed(base_latex)
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return f"{base_latex}^{self._brace(merged_sup_latex)}"
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# Convert base (not in script context)
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base = self._convert_child(children[0])
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# Push script context before converting superscript
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if self.context:
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self.context.push_script_context('msup')
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try:
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# Convert superscript (in script context)
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superscript = self._convert_child(children[1])
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finally:
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# Always pop context, even if conversion fails
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if self.context:
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self.context.pop_script_context()
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# Special case: Empty superscript - just return the base
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# This can happen when OMML has <m:sSup> with an empty <m:sup>
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if not superscript or not superscript.strip():
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base = self._wrap_if_needed(base)
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return base
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# Special case: Prime notation (\prime → ^{\prime}, \prime\prime → ^{\prime\prime}, etc.)
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# If superscript contains only \prime symbols, convert to proper LaTeX prime syntax
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if self._is_prime_notation(superscript):
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# Wrap base if needed (complex expressions)
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base = self._wrap_if_needed(base)
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# Remove spaces from prime notation
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clean_primes = superscript.replace(' ', '').replace('\xa0', '')
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# Convert to proper superscript form: ^{\prime}, ^{\prime\prime}, etc.
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return f"{base}^{{{clean_primes}}}"
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# Special case: cancelto pattern (menclose with updiagonalstrike + superscript)
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# Pattern: <msup><menclose notation="updiagonalstrike">content</menclose><sup>target</sup></msup>
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# Should become: \cancelto{target}{content} instead of \cancel{content}^{target}
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if self._is_cancel_with_target(children[0], base):
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# Extract content from \cancel{content}
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content = self._extract_cancel_content(base)
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if content:
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return f"\\cancelto{self._brace(superscript)}{self._brace(content)}"
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# TODO: More special cases
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# - Empty base (just return ^{sup})
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# - Omit ^{1} for simple variables
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# - Large operators with \limits
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# Wrap base if needed (complex expressions)
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base = self._wrap_if_needed(base)
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# Return base^{superscript}
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return f"{base}^{self._brace(superscript)}"
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def _convert_child(self, child: ET.Element) -> str:
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"""Convert a child element to LaTeX."""
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tag = _local(child.tag)
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# Import visitors as needed to avoid circular imports
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if tag == 'mi':
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from .mi_visitor import MiVisitor
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return MiVisitor(self.strategy, self.context).visit(child)
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elif tag == 'mo':
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from .mo_visitor import MoVisitor
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return MoVisitor(self.strategy).visit(child)
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elif tag == 'mn':
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from .mn_visitor import MnVisitor
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return MnVisitor(self.strategy).visit(child)
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elif tag == 'mfrac':
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from .mfrac_visitor import MfracVisitor
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return MfracVisitor(self.strategy, self.context).visit(child)
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elif tag == 'msup':
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# Recursive: msup can contain other msup elements
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return self.visit(child)
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elif tag == 'msub':
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from .msub_visitor import MsubVisitor
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return MsubVisitor(self.strategy).visit(child)
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elif tag == 'mrow':
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from .mrow_visitor import MrowVisitor
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return MrowVisitor(self.strategy, self.context).visit(child)
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elif tag == 'msqrt':
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from .msqrt_visitor import MsqrtVisitor
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return MsqrtVisitor(self.strategy).visit(child)
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elif tag == 'mroot':
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from .mroot_visitor import MrootVisitor
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return MrootVisitor(self.strategy).visit(child)
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elif tag == 'msubsup':
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from .msubsup_visitor import MsubsupVisitor
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return MsubsupVisitor(self.strategy).visit(child)
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elif tag == 'munder':
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from .munder_visitor import MunderVisitor
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return MunderVisitor(self.strategy).visit(child)
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elif tag == 'mover':
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from .mover_visitor import MoverVisitor
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return MoverVisitor(self.strategy).visit(child)
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elif tag == 'munderover':
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from .munderover_visitor import MunderoverVisitor
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return MunderoverVisitor(self.strategy).visit(child)
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elif tag == 'mfenced':
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from .mfenced_visitor import MfencedVisitor
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return MfencedVisitor(self.strategy).visit(child)
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elif tag == 'mtable':
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from .mtable_visitor import MtableVisitor
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return MtableVisitor(self.strategy).visit(child)
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elif tag == 'mtext':
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from .mtext_visitor import MtextVisitor
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return MtextVisitor(self.strategy).visit(child)
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elif tag == 'mstyle':
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from .mstyle_visitor import MstyleVisitor
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return MstyleVisitor(self.strategy).visit(child)
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elif tag == 'mspace':
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from .mspace_visitor import MspaceVisitor
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return MspaceVisitor(self.strategy).visit(child)
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elif tag == 'menclose':
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from .menclose_visitor import MencloseVisitor
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return MencloseVisitor(self.strategy).visit(child)
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elif tag == 'mmultiscripts':
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from .mmultiscripts_visitor import MmultiscriptsVisitor
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return MmultiscriptsVisitor(self.strategy).visit(child)
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elif tag == 'maction':
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from .maction_visitor import MactionVisitor
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return MactionVisitor(self.strategy).visit(child)
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elif tag == 'merror':
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from .merror_visitor import MerrorVisitor
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return MerrorVisitor(self.strategy).visit(child)
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elif tag == 'mpadded':
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from .mpadded_visitor import MpaddedVisitor
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return MpaddedVisitor(self.strategy).visit(child)
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elif tag == 'mphantom':
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from .mphantom_visitor import MphantomVisitor
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return MphantomVisitor(self.strategy).visit(child)
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elif tag == 'ms':
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from .ms_visitor import MsVisitor
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return MsVisitor(self.strategy).visit(child)
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elif tag == 'mglyph':
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from .mglyph_visitor import MglyphVisitor
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return MglyphVisitor(self.strategy).visit(child)
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elif tag == 'maligngroup':
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from .maligngroup_visitor import MaligngroupVisitor
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return MaligngroupVisitor(self.strategy).visit(child)
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elif tag == 'malignmark':
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from .malignmark_visitor import MalignmarkVisitor
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return MalignmarkVisitor(self.strategy).visit(child)
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elif tag == 'mlabeledtr':
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from .mlabeledtr_visitor import MlabeledtrVisitor
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return MlabeledtrVisitor(self.strategy).visit(child)
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else:
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# Fallback: return text content for unknown elements
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import sys
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print(f"[WARNING] Unknown element <{tag}> in msup, using text fallback", file=sys.stderr)
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return _text_content(child)
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def _wrap_if_needed(self, base: str) -> str:
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"""
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Wrap base in parentheses if needed.
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Args:
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base: The base content
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Returns:
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Base, optionally wrapped in parentheses
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Note:
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Complex expressions with operators should be wrapped.
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Simple identifiers and numbers don't need wrapping.
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"""
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# Check if base already has delimiters (starts and ends with matching delimiters)
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base_stripped = base.strip()
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if base_stripped:
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# Check for __DELIM__ markers (used by delimiter pairing processor)
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# Pattern: __DELIM__X__DELIM__ ... __DELIM__Y__DELIM__
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# These will be converted to \left...\right by post-processor
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if base_stripped.startswith('__DELIM__') and '__DELIM__' in base_stripped[9:]:
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# Already has delimiter markers, no need to wrap
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return base
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# Check for matching delimiters
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delimiter_pairs = {
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'(': ')',
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'[': ']',
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'{': '}',
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'\\left(': '\\right)',
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'\\left[': '\\right]',
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'\\left\\{': '\\right\\}',
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}
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for open_delim, close_delim in delimiter_pairs.items():
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if base_stripped.startswith(open_delim) and base_stripped.endswith(close_delim):
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# Already has delimiters, no need to wrap
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return base
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# Check if base needs grouping for proper superscript application
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# In LaTeX, x^2 applies superscript to x, but "a + b^2" applies only to b
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# We need to brace multi-element bases: {a + b}^2
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#
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# Use braces {} for grouping (invisible) not parentheses () (visible)
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# Only wrap if base contains operators that indicate a true multi-element expression
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math_operators = {'=', '+', '-', '/', '*', '\\times', '\\cdot', '\\pm', '\\to'}
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if ' ' in base and any(op in base for op in math_operators):
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return f"{{{base}}}"
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return base
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def _brace(self, content: str) -> str:
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"""Wrap content in braces."""
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return f"{{{content}}}"
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def _is_prime_notation(self, superscript: str) -> bool:
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"""
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Check if superscript is prime notation (only \\prime symbols).
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Prime notation in LaTeX:
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- x^{\\prime} (single prime)
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- x^{\\prime\\prime} (double prime)
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- x^{\\prime\\prime\\prime} (triple prime)
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- x^{\\prime\\prime\\prime\\prime} (quadruple prime)
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Args:
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superscript: The converted superscript LaTeX string
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Returns:
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True if superscript contains only \\prime symbols
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Note:
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Handles spaced primes from mrow conversion (e.g., "\\prime \\prime")
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which should become "\\prime\\prime"
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"""
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# Remove ALL whitespace
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no_spaces = superscript.replace(' ', '').replace('\xa0', '')
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if not no_spaces:
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return False
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# Check if content is only \prime symbols (possibly repeated)
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# Valid patterns: \prime, \prime\prime, \prime\prime\prime, etc.
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# The string should be exactly \prime repeated N times
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if not no_spaces.startswith('\\prime'):
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return False
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# Remove all \prime occurrences and check if anything remains
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test = no_spaces.replace('\\prime', '')
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return len(test) == 0
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def _is_cancel_with_target(self, base_node: ET.Element, base_latex: str) -> bool:
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"""
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Check if base is a cancel/strike-through that should use cancelto.
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Args:
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base_node: The base element (first child of msup)
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base_latex: The converted LaTeX for the base
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Returns:
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True if this is a cancel pattern that should use \\cancelto
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"""
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# Check if base_node is menclose with updiagonalstrike notation
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if _local(base_node.tag) == 'menclose':
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notation = base_node.get('notation', '')
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return 'updiagonalstrike' in notation
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# Check if base_node is mrow containing a single menclose
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if _local(base_node.tag) == 'mrow':
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children = list(base_node)
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# If mrow contains exactly one child and it's a menclose
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if len(children) == 1 and _local(children[0].tag) == 'menclose':
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notation = children[0].get('notation', '')
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return 'updiagonalstrike' in notation
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return False
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def _extract_cancel_content(self, base_latex: str) -> str:
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"""
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Extract content from \\cancel{content}, \\xcancel{content}, etc.
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Args:
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base_latex: LaTeX string containing cancel command
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Returns:
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The content inside the cancel braces, or empty string if not a cancel pattern
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Examples:
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\\cancel{x} → x
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\\xcancel{abc} → abc
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\\bcancel{123} → 123
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"""
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import re
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# Pattern: \cancel{content}, \xcancel{content}, \bcancel{content}
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match = re.match(r'\\(?:x|b)?cancel\{(.+?)\}$', base_latex)
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if match:
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return match.group(1)
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return ''
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def _detect_nested_msup(self, base_node: ET.Element):
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"""
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Detect if base contains a nested msup element.
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Handles two patterns:
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1. Direct nested: <msup><msup>...</msup>...</msup>
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2. Wrapped in mrow: <msup><mrow><msup>...</msup></mrow>...</msup>
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Args:
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base_node: The base element (first child of outer msup)
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Returns:
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The nested msup element if found, None otherwise
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"""
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# Check direct nested msup
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if _local(base_node.tag) == 'msup':
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return base_node
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# Check msup wrapped in mrow (most common pattern)
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if _local(base_node.tag) == 'mrow':
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children = list(base_node)
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# If mrow contains exactly one child and it's an msup
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if len(children) == 1 and _local(children[0].tag) == 'msup':
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return children[0]
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return None
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def _merge_nested_superscripts(self, inner_msup: ET.Element, outer_sup_node: ET.Element):
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"""
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Merge nested msup with outer superscript.
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This handles the pattern:
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<msup>
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<msup><base><sup1></msup>
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<sup2>
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</msup>
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Which should become: base^{sup1sup2} instead of base^{sup1}^{sup2}
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Args:
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inner_msup: The nested <msup> element
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outer_sup_node: The outer superscript element
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Returns:
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Tuple of (base_latex, merged_superscript_latex) or None if invalid
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Examples:
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<msup><msup><mi>n</mi><mn>2</mn></msup><mo>+</mo></msup>
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→ ("\\mathrm{n}", "2+")
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"""
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# Extract inner msup children
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inner_children = list(inner_msup)
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if len(inner_children) < 2:
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return None # Invalid structure
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inner_base = inner_children[0]
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inner_sup = inner_children[1]
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# Convert base (not in script context)
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base_latex = self._convert_child(inner_base)
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# Convert both superscripts in script context
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if self.context:
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self.context.push_script_context('msup')
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try:
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inner_sup_latex = self._convert_child(inner_sup)
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outer_sup_latex = self._convert_child(outer_sup_node)
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finally:
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if self.context:
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self.context.pop_script_context()
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# Merge superscripts: {inner}{outer}
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# Example: inner="2", outer="+" → "2+"
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merged_sup = f"{inner_sup_latex}{outer_sup_latex}"
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return (base_latex, merged_sup)
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def can_handle(self, node: ET.Element) -> bool:
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"""Check if this visitor can handle the given node."""
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return _local(node.tag) == 'msup'
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@property
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def element_name(self) -> str:
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"""Get the element name this visitor handles."""
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return 'msup'
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def __repr__(self) -> str:
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"""String representation for debugging."""
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return f"MsupVisitor(strategy={self.strategy.name})"
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