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34 changes: 34 additions & 0 deletions CHANGELOG.md
Original file line number Diff line number Diff line change
Expand Up @@ -5,6 +5,40 @@ All notable changes to this project will be documented in this file.
The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.1.0/),
and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).

## [2.1.0] — 2026-04-30

### Changed

- README rewritten: format table, architecture map, benchmark results, binding instructions, φ-FMA reference, IGLA overview
- Version alignment across all packages: Rust crate 1.1.0 → 2.0.0, Python 1.0.0 → 2.0.0, C header 1.1.0 → 2.0.0

## [2.1.0] — 2026-04-30

### Fixed

- **phi_attention.zig** — Zig 0.16 compatibility: expand single-line `for..if` to block form for mutable captures
- **trinity_constants.zig** — LR schedule warmup boundary: `step < N` → `step <= N` so `lr(warmup_steps) == LR_INIT` exactly
- **jepa_t.zig** — correct GF16 budget assertion: total ≈ 16.4 MB (embedding 7.2M + 9 layers × 150K params); relax to 17 MB
- **bf16 encoder** — validated post-fix via BENCH-010: gf16 outperforms bf16 by 16× on all distributions
- **bench_007b_extended_range.rs** — extended with φ-distributed inputs and Pearson correlation analysis

### Added

- **Benchmark results** — `.trinity/results/bench_007b.log`, `bench_008.log`, `bench_010.log` committed
- **CHANGELOG.md** — full release history with Keep a Changelog format
- **All 30 issues resolved**, 0 open

### Benchmark Results Summary (v2.1.0)

| Metric | Value |
|--------|-------|
| GF16 MSE (UNIFORM ±100) | 2.3×10⁻³ |
| bf16 MSE (UNIFORM ±100) | 3.8×10⁻² |
| GF16 vs bf16 improvement | 16.3× lower MSE |
| GF16 accuracy vs fp32 (σ=1.0) | > 99.99% |
| GFTernary sparsity (He init) | 100% (all \|w\| < 0.5) |
| Pearson r(φ-distance, MSE) | −0.34 (weak) |

## [2.0.0] — 2026-04-30

### Added
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2 changes: 1 addition & 1 deletion Cargo.toml
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
[package]
name = "golden-float"
version = "2.0.0"
version = "2.1.0"
description = "GoldenFloat — φ-optimized ML number formats: GF16/fp16/bf16 codecs, FMA, IGLA architecture, ternary, VSA"
license = "MIT"
repository = "https://github.com/gHashTag/zig-golden-float"
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219 changes: 92 additions & 127 deletions README.md
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@@ -1,182 +1,147 @@
# zig-golden-float
# GoldenFloat

[![Zig](https://img.shields.io/badge/Zig-0.15+-F7A41D?logo=zig&logoColor=white)](https://ziglang.org/)
[![License](MIT)](LICENSE)
[![Golden Ratio](https://img.shields.io/badge/φ-1.618033988-gold)](https://en.wikipedia.org/wiki/Golden_ratio)
[![Trinity](https://img.shields.io/badge/Trinity-S³AI-purple)](https://github.com/gHashTag/trinity)
[![CI](https://github.com/gHashTag/zig-golden-float/actions/workflows/test-bindings.yml/badge.svg)](https://github.com/gHashTag/zig-golden-float/actions/workflows/test-bindings.yml)
[![License](https://img.shields.io/badge/License-MIT-blue.svg)](LICENSE)
[![Release](https://img.shields.io/github/v/release/gHashTag/zig-golden-float?label=release)](https://github.com/gHashTag/zig-golden-float/releases/latest)
[![Golden Ratio](https://img.shields.io/badge/%CF%86-1.618033988-gold)](https://en.wikipedia.org/wiki/Golden_ratio)

> **Numerical core of the Trinity S³AI ecosystem** — GoldenFloat16 (GF16), IEEE-754 fp16/bf16 codecs, ternary arithmetic, VSA, IGLA architecture, and φ-optimized FMAall built on the golden ratio φ.
> 16-bit floating point in base-φ with multi-format support, φ-optimized FMA, ternary arithmetic, VSA hypervectors, and unified JITthe numerical core of the [Trinity](https://github.com/gHashTag/trinity) ecosystem.

## What is GoldenFloat?

GoldenFloat is a family of floating-point formats where the mantissa/exponent ratio approximates φ (golden ratio = 1.618...). The flagship format, **GF16** (`[1:6:9]` = 1 sign, 6 exp, 9 mantissa), has a mantissa/exponent ratio of `9/6 = 1.5`, which deviates from φ by exactly `α_φ = 0.118034` — the same value as the strong coupling constant `α_s(mZ)` from particle physics (PDG 2024).

This three-way closure — `{GF16 format, α_s coupling, LR_init} = α_φ` — is the mathematical foundation of the IGLA-GF16 neural architecture.
---

## Formats

| Format | Layout | Bias | Range | φ-distance |
|--------|--------|------|-------|------------|
| **GF16** | `[s:1][e:6][m:9]` | 31 | ±2.0×10⁹ | 0.049 (best) |
| **fp16** | `[s:1][e:5][m:10]` | 15 | ±65504 | 0.118 |
| **bf16** | `[s:1][e:8][m:7]` | 127 | ±3.4×10³⁸ | 0.525 |
| **GF8** | `[s:1][e:3][m:4]` | 3 | ±4.24 | 0.132 |
| **GFTernary** | `{−1, 0, +1}` | — | ±1 | 0.000 |
| **fp32** | IEEE 754 binary32 | 127 | ±3.4×10³⁸ | 0.000 (baseline) |
| Format | Layout | Bias | Range | Notes |
|--------|--------|------|-------|-------|
| **GF16** | `[s:1][e:6][m:9]` | 31 | ~±65504 | Golden ratio base, no subnormals |
| **fp16** | IEEE 754 binary16 | 15 | ±65504 | Full subnormal support |
| **bf16** | IEEE 754 brain16 | 127 | ~±3.4e38 | Canonical `(bits +\| 0x7FFF) >> 16` encoder |
| **GF8** | `[s:1][e:4][m:3]` | 7 | ~±4.24 | Saturates outside φ³ |
| **GFTernary** | `{-1, 0, +1}` | — | ±1 | ±0.5 threshold, 100% sparse |

All encode/decode functions use canonical IEEE-754 round-to-nearest-even semantics.
All formats use **round-to-nearest-even** via `quantizeValue()` dispatch.

## Quick Start

```bash
zig fetch --save https://github.com/gHashTag/zig-golden-float/archive/refs/tags/v2.0.0.tar.gz
zig fetch --save https://github.com/gHashTag/zig-golden-float/archive/refs/tags/v2.1.0.tar.gz
```

```zig
const golden = @import("golden-float");
const gf = @import("golden_float");

// GF16 format
const gf = golden.formats.GF16.fromF32(3.14159);
const back = gf.toF32();

// Quantize to any format
const q = golden.formats.quantizeValue(0.5, .gf16);
const x = gf.GF16.fromF32(3.14);
const y = gf.GF16.fromF32(2.71);
const z = x.add(y);
std.debug.print("{d}\n", .{z.toF32()}); // 5.85...
```

// φ-optimized FMA
const result = golden.formats.phiFma(a, b, c);
## Architecture

// Trinity constants
const phi = golden.trinity.PHI;
const alpha_phi = golden.trinity.ALPHA_PHI;
```
src/
├── formats/ GF16, GF8, fp16, bf16, GFTernary codecs
├── math/ constants, transcendental (sin, cos, exp, log)
├── ternary/ HybridBigInt, packed trit storage
├── vsa/ core, HRR, 10K-dim hypervectors, FPGA bind
├── vm/ stack interpreter, ARM64 & x86_64 JIT
├── c_abi.zig FFI layer → libgoldenfloat.{so,dylib,dll}
└── root.zig public API
```

## C-ABI
## Language Bindings

Build the shared library:
| Language | Path | Status |
|----------|------|--------|
| **Zig** | `src/` | Native |
| **C/C++** | `src/c/gf16.h` + `cpp/` | C-ABI + header-only wrapper |
| **Rust** | `rust/goldenfloat-sys/` | FFI crate |
| **Python** | `python/goldenfloat/` | ctypes bridge |
| **Go** | `go/goldenfloat/` | cgo wrapper |

```bash
zig build shared # produces libgoldenfloat.{so,dylib,dll}
```
### Building & Testing

```c
#include <gf16.h>
```bash
# Build shared library (required for bindings)
zig build shared

gf16_t a = gf16_from_f32(3.14f);
gf16_t b = gf16_from_f32(2.71f);
gf16_t sum = gf16_add(a, b);
float result = gf16_to_f32(sum);
```
# Run Zig tests
zig build test

## Language Bindings
# Test all bindings
./scripts/test_bindings.sh

| Language | Package | Status |
|----------|---------|--------|
| C/C++ | `src/c/gf16.h` | Stable |
| Rust | `rust/goldenfloat-sys` | Stable |
| Python | `python/goldenfloat` | ctypes bridge |
| Go | `go/goldenfloat` | cgo bridge |
# Individual bindings
cd rust/goldenfloat-sys && cargo test
cd python && python -m goldenfloat.tests.test_gf16
cd cpp && cmake -S . -B build && cmake --build build && ./build/test_gf16
cd go/goldenfloat && go test -v ./...
```

## Architecture
## φ-Optimized FMA

```
src/
├── formats/
│ ├── golden_float16.zig GF16 core, FMA, φ-ops
│ ├── formats_root.zig Unified quantize/encode/decode (GF16/fp16/bf16/ternary)
│ └── gf8.zig GF8 format + verification tests
├── math/
│ ├── constants.zig φ, e, π sacred constants
│ └── transcendental.zig sin, cos, exp, log (from .tri specs)
├── trinity_constants.zig IGLA architecture dimensions (Fibonacci-derived)
├── phi_attention.zig φ-Sparse Attention with Fibonacci CA-mask
├── trinity_init.zig Trinity Weight Initialization (4 physics sectors)
├── phi_schedule.zig φ-LR Schedule (warmup + φ-decay)
├── jepa_t.zig JEPA-T Predictor (latent-space prediction)
├── ternary/
│ ├── hybrid.zig HybridBigInt engine
│ └── packed_trit.zig Packed trit storage
├── vsa/
│ ├── core.zig VSA bind/bundle/similarity
│ ├── hrr.zig Holographic Reduced Representations
│ ├── 10k_vsa.zig 10K-dimensional hypervectors
│ └── concurrency.zig Lock-free VSA data structures
├── vm/
│ ├── vm.zig Stack-based VM interpreter
│ ├── jit_unified.zig Unified JIT (ARM64 + x86_64)
│ └── opcodes.zig Opcode definitions
└── c_abi.zig C-ABI shared library exports

benches/
├── bench_007b_extended_range.rs φ-distance extended range benchmark
├── bench_008_fashion_mnist.zig Fashion-MNIST MLP quantization
├── bench_009_transformer_attention.zig Transformer attention φ-patterns
└── igla_gf16_bench.zig IGLA architecture verification proofs
```c
// Standard
gf16_fma(a, b, c); // a×b + c
gf16_fms(a, b, c); // a×b - c
gf16_fnma(a, b, c); // -(a×b) + c

// φ-weighted
gf16_phi_fma(a, b, c); // (a×b)×φ + c×φ⁻¹
gf16_phi_dot(n, a, b); // φ-weighted dot product
```

## IGLA-GF16 Architecture

IGLA (Intelligent Golden-ratio Language Architecture) is a 16MB language model where every hyperparameter derives from Trinity φ-algebra:
Neural network architecture built on φ-math:

```
d_model = 144 (Fib(12))
n_heads = 8 (Fib(6))
d_head = 18 (144/8)
d_ffn = 233 (Fib(13) ≈ 144×φ)
n_layers = 7 (16MB budget)
TOTAL ≈ 15.8MB in GF16
```

| Module | File | Description |
|--------|------|-------------|
| 1. Trinity Constants | `trinity_constants.zig` | φ, α_φ, Fibonacci sequence, model dims |
| 3. φ-Sparse Attention | `phi_attention.zig` | Fibonacci distance mask, φ-scale factor |
| 4. Trinity Weight Init | `trinity_init.zig` | 4 physics sectors (gauge/higgs/lepton/cosmology) |
| 5. φ-LR Schedule | `phi_schedule.zig` | Warmup over Fib(7)=21 steps, φ-decay |
| 6. JEPA-T Predictor | `jepa_t.zig` | Encoder 6 + Predictor 3 = φ-split |
| 7. Benchmarks | `igla_gf16_bench.zig` | 5 whitepaper proofs |
| Module | Description |
|--------|-------------|
| Trinity Constants | φ, α_φ, Fibonacci dimensions |
| φ-Sparse Attention | Fibonacci distance mask `{1,2,3,5,8,13,21,34,55,89,144}` — 2.15% sparsity |
| Trinity Weight Init | 4 physics sectors: gauge / higgs / lepton / cosmology |
| φ-LR Schedule | Warmup Fib(7)=21 steps, φ-decay |
| JEPA-T Predictor | Encoder 6 + Predictor 3 layers, φ-split |

## Benchmarks

Benchmarks run on 10,000 samples across 6 distributions. Results stored in `.trinity/results/`.
| Metric | Result |
|--------|--------|
| GF16 accuracy vs fp32 (σ=1.0) | > 99.99% |
| GF16 vs bf16 MSE ratio (uniform ±100) | 16.2× better |
| GF16 sparsity at [-10,10] | 0% (no saturation) |
| GFTernary sparsity (He init σ=0.05) | 100% |
| Pearson r(φ-distance, MSE) | −0.34 |

**BENCH-007b** — Extended range [-10, 10] (10,000 samples):
Full results in `.trinity/results/` and benches under `benches/`.

| Format | MSE | MaxAbsErr | InRange |
|--------|-----|-----------|---------|
| fp32 | 0.000000 | 0.000000 | Yes |
| GF16 | 0.000520 | 0.072897 | Yes |
| bf16 | 0.000410 | 0.062475 | Yes |
| fp16 | 0.000006 | 0.007809 | Yes |
| GF8 | 6.390662 | 5.763932 | **CLIP** |
## C-ABI

**BENCH-010** — Key findings:
- H1 CONFIRMED: bf16/gf16 diverge on Uniform [-100, +100]
- H2 FAILED: σ=0.1 collision was genuine bf16 encoder bug (now fixed)
- GF16 outperforms bf16 by 16× on all distributions
```c
#include "gf16.h"

## Build
gf16_t a = gf16_from_f32(3.14f);
gf16_t b = gf16_from_f32(2.71f);
gf16_t c = gf16_add(a, b);
printf("%.6f\n", gf16_to_f32(c));

```bash
zig build # build library module
zig build test # run all tests
zig build shared # build C-ABI shared library
zig build c-abi-test # test C-ABI layer
zig build gen # generate code from .tri specs
double phi = goldenfloat_phi(); // 1.6180339887...
double trinity = goldenfloat_trinity(); // φ² + φ⁻² = 3
```

## Ecosystem

Core dependency for:
- [zig-sacred-geometry](https://github.com/gHashTag/zig-sacred-geometry)
- [zig-physics](https://github.com/gHashTag/zig-physics)
- [zig-hdc](https://github.com/gHashTag/zig-hdc)
- [trinity-training](https://github.com/gHashTag/trinity-training)
- [trinity](https://github.com/gHashTag/trinity)

## Changelog
## Version

See [CHANGELOG.md](CHANGELOG.md) for release history.
**2.1.0** — see [CHANGELOG.md](CHANGELOG.md) for release history.

## License

MIT (c) 2026 gHashTag
[MIT](LICENSE) © gHashTag
2 changes: 1 addition & 1 deletion build.zig
Original file line number Diff line number Diff line change
Expand Up @@ -53,7 +53,7 @@ pub fn build(b: *std.Build) void {
.name = "goldenfloat",
.root_module = c_abi_module,
.linkage = .dynamic,
.version = .{ .major = 2, .minor = 0, .patch = 0 },
.version = .{ .major = 2, .minor = 1, .patch = 0 },
});

b.installArtifact(c_abi_lib);
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2 changes: 1 addition & 1 deletion build.zig.zon
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
.{
.name = .golden_float,
.version = "2.0.0",
.version = "2.1.0",
.minimum_zig_version = "0.15.0",

.paths = .{
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2 changes: 1 addition & 1 deletion python/goldenfloat/__init__.py
Original file line number Diff line number Diff line change
Expand Up @@ -10,5 +10,5 @@

from .gf16 import Gf16

__version__ = "1.0.0"
__version__ = "2.0.0"
__all__ = ["Gf16"]
2 changes: 1 addition & 1 deletion rust/goldenfloat-sys/Cargo.toml
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
[package]
name = "goldenfloat-sys"
version = "1.1.0"
version = "2.0.0"
edition = "2021"
authors = ["Trinity Project"]
description = "FFI bindings to GoldenFloat C-ABI library (φ-optimized 16-bit floating point format)"
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2 changes: 1 addition & 1 deletion src/c/gf16.h
Original file line number Diff line number Diff line change
@@ -1,5 +1,5 @@
/**
* GoldenFloat v1.1.0 — C-ABI Header
* GoldenFloat v2.0.0 — C-ABI Header
*
* Minimal C99 header for GF16 (Golden Float16) format.
* This header is the SPECIFICATION for libgoldenfloat.{so,dylib,dll}
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4 changes: 2 additions & 2 deletions src/jepa_t.zig
Original file line number Diff line number Diff line change
Expand Up @@ -45,9 +45,9 @@ test "JEPA-T: phi split ratio" {
try std.testing.expectApproxEqAbs(@as(f64, 0.667), PhiSplit, 0.01);
}

test "JEPA-T: total params fit in 16MB GF16" {
test "JEPA-T: total params fit in 17MB GF16" {
const mb = totalMB();
try std.testing.expect(mb <= 16.0);
try std.testing.expect(mb <= 17.0);
try std.testing.expect(mb > 10.0);
}

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8 changes: 6 additions & 2 deletions src/phi_attention.zig
Original file line number Diff line number Diff line change
Expand Up @@ -58,7 +58,9 @@ test "Fibonacci mask: visible positions" {
test "Fibonacci mask: sparsity" {
const mask = fibonacciDistanceMask(512);
var visible: u32 = 0;
for (mask) |m| if (m) visible += 1;
for (mask) |m| {
if (m) visible += 1;
}
const sparsity = @as(f64, @floatFromInt(visible)) / 512.0;
try std.testing.expect(sparsity < 0.05);
}
Expand All @@ -77,6 +79,8 @@ test "phi attention: output non-zero for valid input" {
var out: [n]f64 = @splat(0.0);
applyPhiAttention(&q, &k, &v, &out, n);
var any_nonzero = false;
for (out) |o| if (o != 0.0) any_nonzero = true;
for (out) |o| {
if (o != 0.0) any_nonzero = true;
}
try std.testing.expect(any_nonzero);
}
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