Squashed 'docs/standards/playbook/' changes from c3f8137..25d895d

25d895d 🐛 fix(gitea_workflow): clean up temp repos after job steps
2bc3b11 🐛 fix(gitea_workflow): clean up temporary repo dirs in workflows
98c3f30 📝 docs(agent_rules): allow plan execution on current branch
16c7230 📝 docs(prompts): define custom verify layering
8efc4dd 🐛 fix(skills): quote commit-message description
bc8498f 🐛 fix(ci): install tomli for gitea tests
55cda3b 🐛 fix(tests): report missing toml parser clearly
c0729c7 🐛 fix(playbook): import Optional for cli compatibility
63e24bf 📦 deps(skills): sync thirdparty skills
d2f9356 🐛 fix(ci): isolate gitea workflow repos
588b81d 🐛 fix(ci): inline gitea workflow bootstrap
e0b1c3a ♻️ refactor(skills): standardize first-party skill contracts
2c5050d ♻️ refactor(skills): rename repo skills source dir
f049dfb 📦 deps(skills): drop duplicate first-party superpowers skills
234b335 ✨ feat(workflow): add superpowers planning and execution state tracking
c1702a6 📝 docs(markdown): format tracked markdown and drop stale templates
2325409 📝 docs(markdown): clarify optional markdownlint usage
214c44e 🔧 chore(markdown): add markdownlint baseline and lint fixes
a22b324 📝 docs(templates): add execution and memory-bank prompt templates
223a797 📝 docs(templates): update README for Claude Code and current features
4ac8672 📝 docs: simplify README + platform-agnostic tools + auto-create local rules
2431c9d 📝 docs: add claude_md config and use cross-platform paths
d64b248 📝 docs: fix README.md inaccuracies and add Claude Code info
c8d6bf2 🐛 fix(playbook): use relative paths in CLAUDE.md when not at project root
6518f0f ✨ feat(playbook): auto-create CLAUDE.md with path discovery
6ec9a45 ✨ feat(skills): add skill_link symlink support + platform-agnostic prompt
9f8b6b5 📝 docs: update README and config example for Claude Code support
79cff6c 📝 docs(skills): add Claude Code platform support
452c6f5 ✨ feat(playbook): auto-inject AGENTS.md into CLAUDE.md
e1dbf3c 🐛 fix(skills): remove dual-path from commit-message skill
f3a7259 🔧 chore(ci): use prepare_repo.sh in both workflows
da08212 🔧 chore(ci): extract prepare_repo.sh and clean up workflows
7ade85e 🗑️ remove(tsl): drop syntax_book/, data/ source and build script
f94dba0 ♻️ refactor(skills): update playbook.py and tests for thirdparty/ layout
b3df412 ♻️ refactor(skills): separate thirdparty skills into thirdparty/ subdirectory
64950e7 📦 deps(skills): sync thirdparty skills
a2e3cb0 ✨ feat(playbook): add no_backup deploy controls
8609d59 🐛 fix(docs): repair reference catalog source links
956da11 🐛 fix(playbook): publish hidden ci test fixes
3f67754 📦 deps(skills): sync thirdparty skills
08ca87b 📦 deps(skills): add karpathy thirdparty sync
96b705b 📝 docs(tsl): rebuild canonical syntax and routing manual
3ed5052 📦 deps(skills): sync thirdparty skills
60108dd 📦 deps(skills): sync thirdparty skills
da85d4e 🐛 fix(thirdparty): prune nested project snapshots
a2a697e 📦 deps(skills): sync thirdparty skills
9df610a 🐛 fix(thirdparty): exclude duplicated superpowers skills
33dd5bb 🐛 fix(thirdparty): preserve optional manifest fields
91b0ea7 🐛 fix(thirdparty): preserve manifest during snapshot update
2e26f98 🔧 chore(thirdparty): generalize skills sync pipeline
5b9c1e3 📦 deps(skills): sync superpowers
2f2d34a 📝 docs(readme): normalize subtree command spacing
62db7db 🐛 fix(ci): serialize superpowers update and sync
3463223 🐛 fix(ci): use literal superpowers sync paths
48f6de8 📦 deps(skills): sync superpowers
4b23529 🔧 chore(ci): merge superpowers update and sync workflow
a56d75b 📦 deps(skills): sync superpowers
84bcefa 🔧 chore(ci): use ci[bot] commit author name
00a07e5 📦 deps(skills): sync superpowers
7b84daf 🐛 fix(templates): enforce main loop progress tracking
51373d7 🔧 chore(ci): automate superpowers sync workflow
eaaa39c 🐛 fix(ci): prevent stale superpowers sync from restoring skills block
79755c6 📦 deps(skills): sync superpowers
836d878 📦 deps(skills): sync superpowers
8216c9f 📦 deps(skills): sync superpowers
9439505 🐛 fix(playbook): address reported repo issues

git-subtree-dir: docs/standards/playbook
git-subtree-split: 25d895d8b3f56624ccfe99ad7289e9eb49e0f316

docs/tsl/reference/catalog/math.md

@@ -0,0 +1,655 @@
+# 数学函数
+
+这一页只负责函数定位：先按主题找到模块，再在页内搜索函数名。
+
+## 使用方式
+
+- 返回总目录：[catalog/index.md](index.md)
+- 需要基础语法时回到 [../../syntax/index.md](../../syntax/index.md)
+- 需要金融任务组织方式时回到 [../../finance/index.md](../../finance/index.md)
+
+## 模块范围
+
+- 说明：数值计算、统计分析、矩阵处理与数学算法
+- 主题数：40
+- 函数数：518
+
+## 主题目录
+
+### 数值计算 / 数值微积分
+
+- `ig_Romberg`
+- `integral`
+- `ig_Trapezoid_1`
+- `ig_Trapezoid_2`
+- `ig_Simpson_1`
+- `ig_Gauss`
+- `ig_Chebyshev`
+- `ig_Simpson_2`
+- `sf_SinX`
+- `sf_CosX`
+- `sf_eX`
+- `sf_EllipseX_1`
+- `sf_EllipseX_2`
+- `Conv`
+- `Hessian`
+
+### 数值计算 / 线性方程组的求解
+
+- `se_Gauss`
+- `se_Gauss_Jordan`
+- `se_Ldl`
+- `se_Cholesky`
+- `se_Gauss_Seidel`
+
+### 数值计算 / 插值
+
+- `interp`
+- `interp_unit`
+- `ip_Lagrangian_A`
+- `ip_Lagrangian_B`
+- `ip_Parabola_A`
+- `ip_Parabola_B`
+- `ip_Hermite_A`
+- `ip_Hermite_B`
+- `ip_Aitken_A`
+- `ip_Aitken_B`
+- `ip_Spline_A`
+- `ip_Spline_B`
+- `ip_Spline_C`
+- `ip_SLQ`
+- `ip_SLG`
+
+### 数值计算 / 矩阵运算及分解
+
+- `mt_Transposition`
+- `mt_Multiplication`
+- `mt_Addition`
+- `mt_iv_Gauss_Jordan`
+- `mt_iv_Ldl`
+- `mt_Subtraction`
+- `Mt_decompose_lu`
+- `mt_decompose_qr`
+- `mt_decompose_chol`
+- `chol`
+- `mt_va_Gauss_Jordan`
+- `mt_decompose_svd`
+- `mt_decompose_ldl`
+- `mt_decompose_eig`
+- `Standarize_II`
+- `ReIndex2`
+- `Det`
+- `isSymmetry`
+- `Orth`
+- `roots`
+- `Eigen`
+- `pinv`
+- `norm2`
+- `Cond`
+- `diag`
+- `isDefinite`
+
+### 数值计算 / 数组扩展
+
+- `Any`
+- `ALL`
+
+### 数值计算 / 其他
+
+- `perms`
+- `nchoosek`
+- `MaxDrawDown`
+- `MinRecoveryTime`
+- `Betainc`
+- `PercentileOfScore`
+- `GenerateCombinations`
+- `Percentage`
+
+### 常用数学函数
+
+- `Pi`
+- `Odd`
+- `Abs`
+- `Sqr`
+- `Sqrt`
+- `DivMod`
+- `Frexp`
+- `Ldexp`
+- `Poly`
+
+### 三角函数
+
+- `Sin`
+- `Cos`
+- `SinCos`
+- `Tan`
+- `Cot`
+- `CoTan`
+- `Sec`
+- `Csc`
+- `Secant`
+- `Cosecant`
+- `ArcSin`
+- `ArcCos`
+- `ArcTan`
+- `ArcTan2`
+- `ArcCot`
+- `ArcSec`
+- `ArcCsc`
+- `Hypot`
+
+### 角度量转换
+
+- `RadToDeg`
+- `RadToGrad`
+- `RadToCycle`
+- `DegToRad`
+- `DegToGrad`
+- `DegToCycle`
+- `GradToRad`
+- `GradToDeg`
+- `GradToCycle`
+- `CycleToRad`
+- `CycleToDeg`
+- `CycleToGrad`
+
+### 双曲线函数
+
+- `Sinh`
+- `Cosh`
+- `Tanh`
+- `CotH`
+- `SecH`
+- `CscH`
+- `ArcCosh`
+- `ArcSinh`
+- `ArcTanh`
+- `ArcCotH`
+- `ArcSecH`
+- `ArcCscH`
+
+### 指数对数函数
+
+- `Ln`
+- `LnXP1`
+- `Log10`
+- `Log2`
+- `LogN`
+- `Exp`
+- `IntPower`
+- `Power`
+
+### 精度设置及取整运算
+
+- `Int`
+- `Ceil`
+- `Ceil32`
+- `Ceil64`
+- `Floor`
+- `Floor32`
+- `Floor64`
+- `Trunc`
+- `Trunc32`
+- `Trunc64`
+- `Frac`
+- `Round`
+- `Round32`
+- `Round64`
+- `SimpleRound`
+- `SimpleRound32`
+- `SimpleRound64`
+- `RoundTo`
+- `SimpleRoundTo`
+
+### 比较判断函数
+
+- `IsNan`
+- `IsInfinite`
+- `Sign`
+- `IsZero`
+- `Min`
+- `Max`
+- `CompareValue`
+- `SameValue`
+- `RandomRange`
+- `InRange`
+- `EnsureRange`
+
+### 一般统计量
+
+- `MinIntValue`
+- `SumOfSquares`
+- `StdDev`
+- `Mean`
+- `Sum`
+- `MaxValue`
+- `MinValue`
+- `Norm`
+- `SumsAndSquares`
+- `MaxIntValue`
+- `SumInt`
+- `Harmean`
+- `Variance`
+- `MeanAndStdDev`
+- `AveDev`
+- `Skewness`
+- `TotalVariance`
+- `Product`
+- `PopnStdDev`
+- `kurtosis2`
+- `Median`
+- `skewness2`
+- `Kurtosis`
+- `Mode`
+- `RandG`
+- `Geomean`
+- `PopnVariance`
+- `MomentSkewKurtosis`
+- `DevSq`
+- `randomfrom`
+
+### 次序统计量
+
+- `Large`
+- `Small`
+- `Percentile`
+- `Percentrank`
+- `Quartile`
+- `Rank`
+- `Trimmean`
+- `Frequency`
+
+### 统计函数
+
+- `Cov`
+- `Correl`
+- `Slope`
+- `Intercept`
+- `Rsq`
+- `Steyx`
+- `Slopeandintercept`
+- `VariationCoefficient`
+- `Skew`
+- `SelfStddev`
+- `RegressionChannel`
+- `Kurt`
+- `MeanAndPopnStdDevWithRate`
+- `BetaAndAlpha`
+- `correlpaired`
+- `correlpaired_side`
+
+### 统计函数 / 扩充统计
+
+- `Expanding_Unit`
+
+### 统计函数 / 含NAN统计
+
+- `NanMean`
+- `NanSum`
+- `NanStd`
+- `NanVariance`
+- `NanPopnStd`
+- `NanPopnVariance`
+- `NanRankArr`
+- `NanPercentRankArr`
+
+### 统计分布
+
+- `Gammaln`
+- `Hist`
+- `sf_Error`
+- `erfc`
+- `sf_Gamma`
+- `erf`
+- `erfcinv`
+- `sf_Beta`
+- `sf_IntegerBessel_1`
+- `sf_IncompleteGamma`
+- `Gamma`
+- `erfinv`
+- `Randnorm`
+- `sf_F`
+- `sf_geopdf`
+- `sf_RealBessel_1`
+- `sf_unidcdf`
+- `sf_normpdf`
+- `sf_geoinv`
+- `sf_unidpdf`
+- `sf_IncompleteBeta`
+- `sf_normalinv2`
+- `sf_norminv`
+- `Randunid`
+- `sf_Normal`
+- `sf_unidinv`
+- `sf_X2`
+- `sf_IntegerBessel_2`
+- `sf_normcdf`
+- `sf_t`
+- `sf_geocdf`
+- `Randgeo`
+- `sf_normalinv`
+- `Normfit`
+- `sf_RealBessel_2`
+- `sf_hygeinv`
+- `poissfit`
+- `sf_binocdf`
+- `Randhyge`
+- `sf_poissinv`
+- `sf_poisscdf`
+- `sf_nbininv`
+- `binofit`
+- `sf_hygepdf`
+- `sf_unifcdf`
+- `sf_exppdf`
+- `sf_binoinv`
+- `uniffit`
+- `sf_nbinpdf`
+- `Randnbin`
+- `Randpoiss`
+- `sf_hygecdf`
+- `sf_poisspdf`
+- `Randbino`
+- `Randunif`
+- `sf_unifinv`
+- `sf_binopdf`
+- `sf_nbincdf`
+- `sf_unifpdf`
+- `sf_tcdf`
+- `sf_fpdf`
+- `sf_tinv`
+- `expfit`
+- `Randgam`
+- `sf_ch2inv`
+- `sf_ch2cdf`
+- `sf_finv1`
+- `Randt`
+- `sf_expcdf`
+- `sf_finv`
+- `sf_gamcdf`
+- `sf_tpdf`
+- `sf_x2inv`
+- `sf_gampdf`
+- `sf_gammainv`
+- `sf_fcdf`
+- `sf_ch2pdf`
+- `Randf`
+- `Randexp`
+- `Randch2`
+- `sf_gaminv`
+- `sf_expinv`
+- `sf_betapdf`
+- `sf_tinv1`
+- `RandCauchy`
+- `sf_Laplacecdf`
+- `Randbeta`
+- `sf_Cauchypdf`
+- `sf_logninv`
+- `sf_Laplaceinv`
+- `sf_betacdf`
+- `sf_raylinv`
+- `sf_wblcdf`
+- `sf_lognpdf`
+- `sf_Cauchycdf`
+- `Randlogn`
+- `Randrayl`
+- `sf_Laplacepdf`
+- `sf_raylpdf`
+- `sf_wblinv`
+- `sf_logncdf`
+- `sf_Cauchyinv`
+- `sf_raylcdf`
+- `Randwbl`
+- `sf_betainv`
+- `RandLaplace`
+- `sf_wblpdf`
+- `sf_betainv1`
+- `sf_mvtcdf`
+- `Mvtcdfqmc`
+- `sf_mvncdf`
+- `sf_copulacdf`
+- `sf_copulafit`
+- `RandCopula`
+- `sf_exp`
+- `Norminv`
+
+### 统计推断
+
+- `Estimate_SNU`
+- `Estimate_TNU`
+- `Estimate_TND`
+- `Estimate_SP`
+- `Estimate_TP`
+- `Hypoth_TailRes`
+- `NormPlot`
+- `Hypoth_Kstest`
+- `Hypoth_lillietest`
+- `Hypoth_IndepTest`
+- `Hypoth_KruskalWallis`
+- `Hypoth_SNUTest`
+- `Hypoth_TNUTest`
+- `Hypoth_SNDTest`
+- `Hypoth_TNDTest`
+- `Hypoth_LSUTest`
+- `Anova_Single`
+- `Anova_Twice`
+- `Anova_Bartlett`
+- `Anova_Levene`
+
+### 统计推断 / 假设检验
+
+- `Hypoth_SignTest`
+- `Hypoth_WilcoxonTest`
+- `Hypoth_McNemarTest`
+
+### 统计推断 / 配对检验
+
+- `Hypoth_PNUTest`
+
+### 多元统计分析
+
+- `Corr`
+- `CorrelationMatrix`
+- `Covariance`
+- `Corrcoef`
+- `Corr_partial`
+- `Distance`
+- `Cluster_Kmeans`
+- `Cluster_System`
+- `Cluster_ward`
+- `Discrim`
+- `princomp`
+- `Factor`
+- `corr_canonical`
+- `corr_Spearman`
+- `Cov2CorrMatrix`
+- `CorrMatrixAdjust`
+- `corr_Kendall`
+- `HISTC`
+
+### 多元统计分析 / 相对重要性
+
+- `Regress_domin_formula`
+- `Regress_domin_marginal`
+
+### 回归 / 回归检验
+
+- `Regress_Ridge`
+- `Regress_AdjustedR2`
+- `Regress_Logistic`
+- `Regression`
+- `Regress_DWTest`
+- `Regress_Stepwise`
+- `Regress_Constraint`
+- `Regress_White`
+- `Regress_MLS`
+- `Regress_CMLS`
+- `Regress_JBTest`
+- `Regress_pri`
+- `Regress_FTest`
+- `Regression_WLS`
+- `Regress_Binary`
+- `Regress_TTest`
+- `Regress_NLM`
+- `Regress_WLS`
+- `Regress_AicAndSbic`
+- `Regress_RSquare`
+- `Regress_QRlsq`
+- `boxcox`
+- `Regress_HettestSpearman`
+- `Regress_VIF`
+- `Regress_TTest_RWLS`
+- `Regress_TTest_White`
+- `Regress_TTest_NW`
+- `Regression_OLS_White`
+- `Regression_OLS_NW`
+- `NW_Adjustment_Simplification`
+- `Robustfit_M`
+- `Regress_GRStest`
+
+### 回归 / 回归公用函数
+
+- `LeastSquares_CurveFitting`
+
+### 灰色系统
+
+- `GM_Initial`
+- `GM_Corr`
+- `GM_AGO`
+- `GM_Icorr`
+- `GM_Scorr`
+
+### 主成分分析
+
+- `PrincaipalComponentAnalysis`
+
+### 主成分分析 / 中间函数
+
+- `Mbbub`
+- `ComponentScoreMatrix`
+- `FactorScoreMatrix`
+- `ComponentMatrix`
+- `RotatedComponentMatrix`
+- `Eigen_Jacobi`
+- `GetEigenValue`
+- `FScoreResult`
+
+### 时间序列分析
+
+- `Time_Diff`
+- `Time_AutoCov`
+- `Time_ACF`
+- `Time_PACF`
+- `Time_RandomTest`
+- `Time_DanielTest`
+- `AR`
+- `ARMA`
+- `Time_ARCH`
+- `Time_GARCH`
+- `Times_ADFTest`
+- `Times_Cointergration_test`
+- `Times_ECM`
+- `Times_Granger`
+- `Time_ARp`
+- `Time_MAq`
+- `Time_ARMA`
+- `Time_GreenFun`
+- `Time_InvFun`
+- `Time_Analyse`
+- `Time_ChoseP`
+- `Times_Cointergration`
+- `GM_Estimate`
+- `Time_ARCHTest`
+- `GarchFit`
+- `Times_johansen`
+- `Times_GrangerCausality`
+
+### 时间序列分析 / 因果推断
+
+- `Time_VolatilitySpillover`
+
+### 优化
+
+- `NonLP_Hooke_Jeeves`
+- `Prog_L`
+- `NonLP_minPS`
+- `NonLP_Fibonacci`
+- `NonLP_Range`
+- `Fmin`
+- `NonLP_BSearch`
+- `Prog_M`
+- `NonLP_minFactor`
+- `NonLP_GP`
+- `NonLP_Fminsearch`
+- `NonLP_Fmincon`
+- `NonLP_minSUMT`
+- `Prog_Q`
+- `Prog_N`
+- `NonLP_Nelder`
+- `NonLP_Fminbnd`
+- `NonLP_Golden`
+- `TSOptimizer`
+- `Quadprog`
+- `LinearProgramming`
+- `NonLP_Rosenbrock`
+- `QuadLagR`
+- `OZProg`
+- `QuadTrackRoute`
+- `IntLinProg`
+
+### 优化 / 有约束优化算法
+
+- `SUMT_Method`
+
+### 优化 / 无约束优化算法
+
+- `Hooke_Jeeves_Method`
+
+### 优化 / 测试
+
+- `H_J_Method_Pgm`
+- `Sumt_Method_CallBack`
+
+### 小波分析
+
+- `Wavedec`
+- `wrcoef`
+- `wavelet`
+
+### 财务函数
+
+- `DoubleDecliningBalance`
+- `FutureValue`
+- `InterestPayment`
+- `InterestRate`
+- `InternalRateOfReturn`
+- `NumberOfPeriods`
+- `NetPresentValue`
+- `Payment`
+- `PeriodPayment`
+- `PresentValue`
+- `SLNDepreciation`
+- `SYDDepreciation`
+
+### 增长率与比率
+
+- `AccumulativeYTMtoYTM`
+- `YTMToAccumulativeYTM`
+- `RatioValue`
+- `OutPutValueByUnit`
+- `OutPutLnGrowRatio`
+- `OutPutGrowValue`
+- `OutPutGrowValue2`
+- `OutPutGrowRatio`
+- `OutPutGrowRatio2`
+- `MultyValue`
+- `OutPutGrowValue3`
+- `OutPutGrowRatio3`
+- `RatioValue_Math`
+
+### 概率分布 / 线性变换
+
+- `Norm_LinearTransform`
+
+### 信号处理
+
+- `filter_hp`