⬆️ version bump to v4.5

- Update obioptions.Version from "Release 4.4.29" to "/v/ Release v5"
- Update version.txt from 4.29 → .30
(automated by Makefile)

autodoc/docmd/pkg/obistats/normaldist.md

@@ -0,0 +1,30 @@
+# `obistats` Package: Normal Distribution Utilities
+
+The `obistats` package provides a lightweight, efficient implementation of the **normal (Gaussian) distribution**, including core statistical operations.
+
+## Core Type
+- `NormalDist`: Represents a normal distribution with parameters:
+  - `Mu` (mean)
+  - `Sigma` (standard deviation)
+
+## Predefined Constants
+- `StdNormal`: A standard normal distribution (`Mu = 0`, `Sigma = 1`).
+- `invSqrt2Pi`: Precomputed constant for performance optimization.
+
+## Key Methods
+| Method | Description |
+|--------|-------------|
+| `PDF(x)` | Computes the **probability density function** at point `x`. |
+| `pdfEach(xs [])` | Vectorized PDF evaluation over a slice of values (optimized for standard normal). |
+| `CDF(x)` | Computes the **cumulative distribution function** at point `x` via error function (`erfc`). |
+| `cdfEach(xs [])` | Vectorized CDF evaluation over a slice. |
+| `InvCDF(p)` | Computes the **inverse CDF (quantile function)** using Acklam’s algorithm with refinement. Handles edge cases (`p = 0`, `1`) and numerical stability. |
+| `Rand(r *rand.Rand)` | Generates a random sample from the distribution (uses Go’s built-in `NormFloat64`). |
+| `Bounds()` | Returns a practical support interval: `[Mu − 3·Sigma, Mu + 3·Sigma]` (≈99.7% coverage). |
+
+## Implementation Notes
+- Optimized paths for standard normal (`Mu = 0`, `Sigma = 1`) reduce computation cost.
+- Uses Go’s standard math library (`math.Erfc`, `math.Log`, etc.).
+- Designed for performance and numerical accuracy in statistical applications.
+
+> *Note: Duplicates functionality from an internal module (`bench`), likely for reuse in public packages.*