Add decimal module and operator interop registry

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# Decimal (`lyng.decimal`)
`lyng.decimal` adds an arbitrary-precision decimal type to Lyng as a normal library module.
Import it when you need decimal arithmetic that should not inherit `Real`'s binary floating-point behavior:
```lyng
import lyng.decimal
```
## What `BigDecimal` Is For
Use `BigDecimal` when values are fundamentally decimal:
- money
- human-entered quantities
- exact decimal text
- predictable decimal rounding
- user-facing formatting and tests
Do not use it just because a number has a fractional part. `Real` is still the right type for ordinary double-precision numeric work.
## Creating Decimal Values
There are three supported conversions:
```lyng
import lyng.decimal
val a = 1.d
val b = 2.2.d
val c = "2.2".d
assertEquals("1", a.toStringExpanded())
assertEquals("2.2", b.toStringExpanded())
assertEquals("2.2", c.toStringExpanded())
```
The three forms mean different things:
- `1.d`: convert `Int -> BigDecimal`
- `2.2.d`: convert `Real -> BigDecimal`
- `"2.2".d`: parse exact decimal text
That distinction is intentional.
### `Real.d` vs `"..." .d`
`Real.d` preserves the current `Real` value. It does not pretend the source code was exact decimal text.
```lyng
import lyng.decimal
assertEquals("0.30000000000000004", (0.1 + 0.2).d.toStringExpanded())
assertEquals("0.3", "0.3".d.toStringExpanded())
```
This follows the "minimal confusion" rule:
- if you start from a `Real`, you get a decimal representation of that `Real`
- if you want exact decimal source text, use a `String`
## Factory Functions
The explicit factory methods are:
```lyng
import lyng.decimal
BigDecimal.fromInt(10)
BigDecimal.fromReal(2.5)
BigDecimal.fromString("12.34")
```
These are equivalent to the conversion-property forms, but sometimes clearer in APIs or generated code.
## Core Operations
`BigDecimal` supports:
- `+`
- `-`
- `*`
- `/`
- `%`
- unary `-`
- comparison operators
- equality operators
Examples:
```lyng
import lyng.decimal
assertEquals("3.75", ("1.5".d + "2.25".d).toStringExpanded())
assertEquals("1.25", ("2.5".d - "1.25".d).toStringExpanded())
assertEquals("3.0", ("1.5".d * 2.d).toStringExpanded())
assertEquals("0.5", (1.d / 2.d).toStringExpanded())
assert("2.0".d > "1.5".d)
assert("2.0".d == 2.d)
```
## Interoperability With `Int` and `Real`
The decimal module registers mixed-operand operator bridges so both sides read naturally:
```lyng
import lyng.decimal
assertEquals(3.d, 1 + 2.d)
assertEquals(3.d, 2.d + 1)
assertEquals(1.5.d, 1.d + 0.5)
assertEquals(1.5.d, 0.5 + 1.d)
assert(2 == 2.d)
assert(3 > 2.d)
```
Without this registration mechanism, only the cases directly implemented on the left-hand class would work. The bridge fills the gap for expressions such as `Int + BigDecimal` and `Real + BigDecimal`.
See [OperatorInterop.md](OperatorInterop.md) for the generic mechanism behind that.
## String Representation
Use `toStringExpanded()` when you want plain decimal output without scientific notation:
```lyng
import lyng.decimal
assertEquals("12.34", "12.34".d.toStringExpanded())
```
This is the recommended representation for:
- tests
- user-visible diagnostics
- decimal formatting checks
## Conversions Back To Built-ins
```lyng
import lyng.decimal
assertEquals(2, "2.9".d.toInt())
assertEquals(2.9, "2.9".d.toReal())
```
Use `toReal()` only when you are willing to return to binary floating-point semantics.
## Division Context
Division is the operation where precision and rounding matter most.
By default, decimal division uses:
- precision: `34` significant digits
- rounding: `HalfEven`
Example:
```lyng
import lyng.decimal
assertEquals("0.3333333333333333333333333333333333", (1.d / 3.d).toStringExpanded())
assertEquals("0.6666666666666666666666666666666667", ("2".d / 3.d).toStringExpanded())
```
## `withDecimalContext(...)`
Use `withDecimalContext(...)` to override decimal division rules inside a block:
```lyng
import lyng.decimal
assertEquals(
"0.3333333333",
withDecimalContext(10) { (1.d / 3.d).toStringExpanded() }
)
```
You can also pass an explicit context object:
```lyng
import lyng.decimal
val ctx = DecimalContext(6, DecimalRounding.HalfAwayFromZero)
assertEquals("0.666667", withDecimalContext(ctx) { ("2".d / 3.d).toStringExpanded() })
```
The context is dynamic and local to the block. After the block exits, the previous context is restored.
## Rounding Modes
Available rounding modes:
- `HalfEven`
- `HalfAwayFromZero`
- `HalfTowardsZero`
- `Ceiling`
- `Floor`
- `AwayFromZero`
- `TowardsZero`
Tie example at precision `2`:
```lyng
import lyng.decimal
assertEquals("0.12", withDecimalContext(2, DecimalRounding.HalfEven) { (1.d / 8.d).toStringExpanded() })
assertEquals("0.13", withDecimalContext(2, DecimalRounding.HalfAwayFromZero) { (1.d / 8.d).toStringExpanded() })
assertEquals("0.12", withDecimalContext(2, DecimalRounding.HalfTowardsZero) { (1.d / 8.d).toStringExpanded() })
assertEquals("0.13", withDecimalContext(2, DecimalRounding.Ceiling) { (1.d / 8.d).toStringExpanded() })
assertEquals("0.12", withDecimalContext(2, DecimalRounding.Floor) { (1.d / 8.d).toStringExpanded() })
```
Negative values follow the same named policy in the obvious direction:
```lyng
import lyng.decimal
assertEquals("-0.13", withDecimalContext(2, DecimalRounding.HalfAwayFromZero) { (-1.d / 8.d).toStringExpanded() })
assertEquals("-0.12", withDecimalContext(2, DecimalRounding.HalfTowardsZero) { (-1.d / 8.d).toStringExpanded() })
```
## Recommended Usage Rules
If you care about exact decimal source text:
```lyng
"12.34".d
```
If you intentionally convert an existing binary floating-point value:
```lyng
someReal.d
```
If you want local control over division:
```lyng
withDecimalContext(precision, rounding) { ... }
```
If you want custom mixed operators for your own type, follow the same pattern as Decimal and use the operator registry:
- define the operators on your own class
- choose a common class
- register mixed operand bridges
See [OperatorInterop.md](OperatorInterop.md).
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# Operator Interop Registry
`lyng.operators` provides a runtime registry for mixed-class binary operators.
Import it when you want expressions such as:
- `1 + MyType(...)`
- `2 < MyType(...)`
- `3 == MyType(...)`
to work without modifying the built-in `Int` or `Real` classes.
```lyng
import lyng.operators
```
## Why This Exists
If your class defines:
```lyng
class Amount(val value: Int) {
fun plus(other: Amount) = Amount(value + other.value)
}
```
then:
```lyng
Amount(1) + Amount(2)
```
works, because the left operand already knows how to add another `Amount`.
But:
```lyng
1 + Amount(2)
```
does not naturally work, because `Int` has not been rewritten to know about `Amount`.
The operator interop registry solves exactly that problem.
## Mental Model
Registration describes a mixed pair:
- left class `L`
- right class `R`
- common class `C`
When Lyng sees `L op R`, it:
1. converts `L -> C`
2. converts `R -> C`
3. evaluates the operator as `C op C`
So the registry is a bridge, not a separate arithmetic engine.
## API
```lyng
OperatorInterop.register(
leftClass,
rightClass,
commonClass,
operators,
leftToCommon,
rightToCommon
)
```
Parameters:
- `leftClass`: original left operand class
- `rightClass`: original right operand class
- `commonClass`: class that will actually execute the operator methods
- `operators`: list of operators enabled for this pair
- `leftToCommon`: conversion from left operand to common class
- `rightToCommon`: conversion from right operand to common class
## Supported Operators
`BinaryOperator` values:
- `Plus`
- `Minus`
- `Mul`
- `Div`
- `Mod`
- `Compare`
- `Equals`
Meaning:
- `Compare` enables `<`, `<=`, `>`, `>=`, and `<=>`
- `Equals` enables `==` and `!=`
## Minimal Working Example
```lyng
package test.decimalbox
import lyng.operators
class DecimalBox(val value: Int) {
fun plus(other: DecimalBox) = DecimalBox(value + other.value)
fun minus(other: DecimalBox) = DecimalBox(value - other.value)
fun mul(other: DecimalBox) = DecimalBox(value * other.value)
fun div(other: DecimalBox) = DecimalBox(value / other.value)
fun mod(other: DecimalBox) = DecimalBox(value % other.value)
fun compareTo(other: DecimalBox) = value <=> other.value
}
OperatorInterop.register(
Int,
DecimalBox,
DecimalBox,
[
BinaryOperator.Plus,
BinaryOperator.Minus,
BinaryOperator.Mul,
BinaryOperator.Div,
BinaryOperator.Mod,
BinaryOperator.Compare,
BinaryOperator.Equals
],
{ x: Int -> DecimalBox(x) },
{ x: DecimalBox -> x }
)
```
Then:
```lyng
import test.decimalbox
assertEquals(DecimalBox(3), 1 + DecimalBox(2))
assertEquals(DecimalBox(1), 3 - DecimalBox(2))
assertEquals(DecimalBox(8), 4 * DecimalBox(2))
assertEquals(DecimalBox(4), 8 / DecimalBox(2))
assertEquals(DecimalBox(1), 7 % DecimalBox(2))
assert(1 < DecimalBox(2))
assert(2 <= DecimalBox(2))
assert(3 > DecimalBox(2))
assert(2 == DecimalBox(2))
assert(2 != DecimalBox(3))
```
## How Decimal Uses It
`lyng.decimal` uses this same mechanism so that:
```lyng
import lyng.decimal
1 + 2.d
0.5 + 1.d
2 == 2.d
3 > 2.d
```
work naturally even though `Int` and `Real` themselves were not edited to know `BigDecimal`.
The shape is:
- `leftClass = Int` or `Real`
- `rightClass = BigDecimal`
- `commonClass = BigDecimal`
- convert built-ins into `BigDecimal`
- leave `BigDecimal` values unchanged
## Step-By-Step Pattern For Your Own Type
### 1. Pick the common class
Choose one class that will be the actual arithmetic domain.
For numeric-like types, that is usually your own class:
```lyng
class Rational(...)
```
### 2. Implement operators on that class
The common class should define the operations you plan to register.
Example:
```lyng
class Rational(val num: Int, val den: Int) {
fun plus(other: Rational) = Rational(num * other.den + other.num * den, den * other.den)
fun minus(other: Rational) = Rational(num * other.den - other.num * den, den * other.den)
fun mul(other: Rational) = Rational(num * other.num, den * other.den)
fun div(other: Rational) = Rational(num * other.den, den * other.num)
fun compareTo(other: Rational) = (num * other.den) <=> (other.num * den)
static fun fromInt(value: Int) = Rational(value, 1)
}
```
### 3. Register the mixed pair
```lyng
import lyng.operators
OperatorInterop.register(
Int,
Rational,
Rational,
[
BinaryOperator.Plus,
BinaryOperator.Minus,
BinaryOperator.Mul,
BinaryOperator.Div,
BinaryOperator.Compare,
BinaryOperator.Equals
],
{ x: Int -> Rational.fromInt(x) },
{ x: Rational -> x }
)
```
### 4. Use it
```lyng
assertEquals(Rational(3, 2), 1 + Rational(1, 2))
assert(Rational(3, 2) == Rational(3, 2))
assert(2 > Rational(3, 2))
```
## Registering More Than One Built-in Type
If you want both `Int + MyType` and `Real + MyType`, register both pairs explicitly:
```lyng
OperatorInterop.register(
Int,
MyType,
MyType,
[BinaryOperator.Plus, BinaryOperator.Compare, BinaryOperator.Equals],
{ x: Int -> MyType.fromInt(x) },
{ x: MyType -> x }
)
OperatorInterop.register(
Real,
MyType,
MyType,
[BinaryOperator.Plus, BinaryOperator.Compare, BinaryOperator.Equals],
{ x: Real -> MyType.fromReal(x) },
{ x: MyType -> x }
)
```
Each mixed pair is independent.
## Pure Lyng Registration
This mechanism is intentionally useful from pure Lyng code, not only from Kotlin-backed modules.
That means you can:
- declare a class in Lyng
- define its operators in Lyng
- register mixed operand bridges in Lyng
without touching compiler internals.
## Where To Register
Register once during module initialization.
Top-level module code is a good place:
```lyng
package my.rational
import lyng.operators
class Rational(...)
OperatorInterop.register(...)
```
That keeps registration close to the type declaration and makes importing the module enough to activate the interop.
## What Registration Does Not Do
The registry does not:
- invent operators your common class does not implement
- change the original `Int`, `Real`, or other built-ins
- automatically cover every class pair
- replace normal method overload resolution when the left-hand class already knows what to do
It only teaches Lyng how to bridge a specific mixed pair into a common class for the listed operators.
## Recommended Design Rules
If you want interop to feel natural:
- choose one obvious common class
- make conversions explicit and unsurprising
- implement `compareTo` if you want ordering operators
- register `Equals` whenever mixed equality should work
- keep the registered operator list minimal and accurate
For decimal-like semantics, also read [Decimal.md](Decimal.md).
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## Language Features
### 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.
It provides:
- `BigDecimal`
- convenient `.d` conversions from `Int`, `Real`, and `String`
- mixed arithmetic with `Int` and `Real`
- local division precision and rounding control via `withDecimalContext(...)`
```lyng
import lyng.decimal
assertEquals("3", (1 + 2.d).toStringExpanded())
assertEquals("0.30000000000000004", (0.1 + 0.2).d.toStringExpanded())
assertEquals("0.3", "0.3".d.toStringExpanded())
assertEquals(
"0.3333333333",
withDecimalContext(10) { (1.d / 3.d).toStringExpanded() }
)
```
The distinction between `Real -> Decimal` and exact decimal parsing is explicit by design:
- `2.2.d` converts the current `Real` value
- `"2.2".d` parses exact decimal text
See [Decimal](Decimal.md).
### Binary Operator Interop Registry
Lyng now provides a general mechanism for mixed binary operators through `lyng.operators`.
This solves cases like:
- `Int + MyType`
- `Real < MyType`
- `Int == MyType`
without requiring changes to built-in classes.
```lyng
import lyng.operators
class DecimalBox(val value: Int) {
fun plus(other: DecimalBox) = DecimalBox(value + other.value)
fun compareTo(other: DecimalBox) = value <=> other.value
}
OperatorInterop.register(
Int,
DecimalBox,
DecimalBox,
[BinaryOperator.Plus, BinaryOperator.Compare, BinaryOperator.Equals],
{ x: Int -> DecimalBox(x) },
{ x: DecimalBox -> x }
)
assertEquals(DecimalBox(3), 1 + DecimalBox(2))
assert(1 < DecimalBox(2))
assert(2 == DecimalBox(2))
```
`lyng.decimal` uses this same mechanism internally to interoperate with `Int` and `Real`.
See [Operator Interop Registry](OperatorInterop.md).
### Class Properties with Accessors
Classes now support properties with custom `get()` and `set()` accessors. Properties in Lyng do **not** have automatic backing fields; they are pure accessors.