Added Vectors and Matrics operations, slicing, docs.

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sergeych committed 2026-03-28 22:25:40 +03:00
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@@ -5,6 +5,53 @@ For a programmer-focused migration summary, see `docs/whats_new_1_5.md`.
## Language Features
### Matrix and Vector Module (`lyng.matrix`)
Lyng now ships a dense linear algebra module with immutable double-precision `Matrix` and `Vector` types.
It provides:
- `matrix([[...]])` and `vector([...])`
- matrix multiplication
- matrix inversion
- determinant, trace, rank
- solving `A * x = b`
- vector operations such as `dot`, `normalize`, `cross`, and `outer`
```lyng
import lyng.matrix
val a: Matrix = matrix([[4, 7], [2, 6]])
val inv: Matrix = a.inverse()
assert(abs(inv.get(0, 0) - 0.6) < 1e-9)
```
Matrices also support Lyng-style slicing:
```lyng
import lyng.matrix
val m: Matrix = matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
assertEquals(6.0, m[1, 2])
val column: Matrix = m[0..2, 2]
val tail: Matrix = m[1.., 1..]
assertEquals([[3.0], [6.0], [9.0]], column.toList())
assertEquals([[5.0, 6.0], [8.0, 9.0]], tail.toList())
```
See [Matrix](Matrix.md).
### Multiple Selectors in Bracket Indexing
Bracket indexing now accepts more than one selector:
```lyng
value[i]
value[i, j]
value[i, j, k]
```
For custom indexers, multiple selectors are packed into one list-like index object and dispatched through `getAt` / `putAt`.
This is the rule used by `lyng.matrix` and by embedding APIs for Kotlin-backed indexers.
### Decimal Arithmetic Module (`lyng.decimal`)
Lyng now ships a first-class decimal module built as a regular extension library rather than a deep core special case.