大六壬起课入口扩展 / Liuren casting-entry extension

License: MIT (see LICENSE).
Scope: the independently authored liuren-entries.js, liuren-entries-ui.js,
tests, audit utility and accompanying extension documentation. The license
does not relicense the separately supplied core, test dependencies, or any
reference project.

Reference and provenance
Horosa's 26-option inventory and functional casting conventions were examined
read-only at commit daab60ce05c8f0e78cc51b5e7974120f81aed79c:
https://github.com/Horace-Maxwell/Horosa-Web-App-comprehensively-improved-Windows/blob/daab60ce05c8f0e78cc51b5e7974120f81aed79c/local/workspace/Horosa-Web-55c75c5b088252fbd718afeffa6d5bcb59254a0c/astrostudyui/src/components/lrzhan/LiuRengMain.js
Relevant source sections: QI_METHODS, computeQiXY, liurengChouBranch,
buildLiuRengCastOverride, and the civil-year running-year fallback.
Reference project license (AGPL-3.0-only):
https://github.com/Horace-Maxwell/Horosa-Web-App-comprehensively-improved-Windows/blob/daab60ce05c8f0e78cc51b5e7974120f81aed79c/LICENSE

The extension's formula table is an independently written factual/functional
reconstruction: each convention selects a sky branch X and ground branch Y,
then applies the cyclic offset (X-Y) mod 12. No upstream runtime code, modern
interpretive prose, graphics or UI assets were copied, imported or bundled.
The reference application was not executed to produce test results. The
optional audit utility reads source text as data; it does not load or execute
that source. Neither runtime file requires, imports or calls Horosa. This
extension introduces no AGPL runtime dependency.

Chosen conventions and limits
- 26 named entries include three formula-equivalent pairs: 正时正将/次客一筹,
  太岁加时/年时对齐, and 月建加时/月时对齐.
- Actual month general and actual casting hour are preserved. The separately
  labeled rotation proxy is used only to call the existing independent core;
  daylight remains based on the actual hour and selected core daylight rule.
- Required inputs cannot silently fall back. Numeric input must be an exact
  signed integer, up to 128 digits; negative values use a nonnegative mod-12
  remainder. Reported-number remainder zero corresponds to 亥.
- 本命/行年 default to explicitly supplied branches. Optional civil-year mode
  uses January 1 boundaries and casting year minus birth year. Running year
  starts at elapsed-year zero with male-style 丙寅 forward or female-style
  壬申 backward. Birth year and direction are never inferred. This limited
  helper does not reproduce the reference's complete birth-chart service.
- Calendar year/day boundaries and the astronomical general are supplied by
  the host. This extension does not add full 毕法, all omens, or additional
  month-general/nobleman schools. Traditional interpretation is not validated
  prediction and must not determine medical, legal, financial or safety action.