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feat(lang): float and double types with ordinary operators

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`float` (32-bit) and `double` (64-bit) with + - * / %, comparisons and unary minus.
Decimal literals take their type from context and stay `fixed` elsewhere; int and long
promote implicitly (LUDIC_WARN_FLOAT_PROMOTE=1 lists every promotion). float(), double(),
int(), long() and fixed() convert; floats(n)/doubles(n) buffers; float fields, globals,
constants and parameters; Math.* computes in float for float arguments; string/print
write the shortest round-tripping decimal; float_bits/float_from_bits expose the bits.
@deterministic code may not use floats. The f_* runtime helpers stay as they are.

Editors know the new type words; the JetBrains plugin is 1.5.0.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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Orkun ÇAKILKAYA 2026-09-16 16:02:03 +03:00
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8
docs/language/builtins/fn-fixed.md
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@ -4,15 +4,15 @@ name: fixed
category: builtins
kind: builtin
tokens: fixed
sig: fixed(n) -> fixed
tip: Lift an integer into a Q16.16 fixed-point value.
sig: fixed(x) -> fixed
tip: Convert an int (or a float) into a Q16.16 fixed-point value.
order: 50
---
Converts an integer into a <code>fixed</code> value (Ludic's Q16.16 fixed-point type), so it can take part in fractional arithmetic. Ludic has no floating point; <code>fixed</code> is how you carry sub-pixel precision for smooth movement and physics-like accumulation. Use <code>fixed</code> when you need to combine an <code>int</code> with fixed-point values or divide to get a fraction — for example <code>fixed(1) / fixed(4)</code> is <code>0.25</code>. Convert back to a whole number for drawing with <code>flr</code>.
Converts an integer into a <code>fixed</code> value (Ludic's Q16.16 fixed-point type), so it can take part in fractional arithmetic. <code>fixed</code> is how you carry deterministic sub-pixel precision for smooth movement and physics-like accumulation; a <code>float</code> or <code>double</code> converts too, truncated toward zero to Q16.16. Use <code>fixed</code> when you need to combine an <code>int</code> with fixed-point values or divide to get a fraction — for example <code>fixed(1) / fixed(4)</code> is <code>0.25</code>. Convert back to a whole number for drawing with <code>flr</code>.
Parameters:
- `n` — the integer to lift into fixed-point
- `x` — the integer (or float) to convert
```ludic
program SmoothAccumulate {