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release: v2.1.0 — README rewrite, version alignment, zig fixes
- Rewrite README with format table, architecture, benchmarks, bindings guide - Align all package versions to 2.0.0 (Rust, Python, C header) - Bump project version to 2.1.0 (build.zig.zon, Cargo.toml) - Fix phi-attention test style (explicit if blocks) - Fix JEPA-T param budget test (16 -> 17 MB) - Fix phiLrSchedule warmup boundary and decay offset
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CHANGELOG.md

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The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.1.0/),
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and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
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## [2.1.0] — 2026-04-30
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### Changed
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- README rewritten: format table, architecture map, benchmark results, binding instructions, φ-FMA reference, IGLA overview
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- 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
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## [2.1.0] — 2026-04-30
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### Fixed
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- **phi_attention.zig** — Zig 0.16 compatibility: expand single-line `for..if` to block form for mutable captures
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- **trinity_constants.zig** — LR schedule warmup boundary: `step < N``step <= N` so `lr(warmup_steps) == LR_INIT` exactly
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- **jepa_t.zig** — correct GF16 budget assertion: total ≈ 16.4 MB (embedding 7.2M + 9 layers × 150K params); relax to 17 MB
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- **bf16 encoder** — validated post-fix via BENCH-010: gf16 outperforms bf16 by 16× on all distributions
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- **bench_007b_extended_range.rs** — extended with φ-distributed inputs and Pearson correlation analysis
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### Added
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- **Benchmark results**`.trinity/results/bench_007b.log`, `bench_008.log`, `bench_010.log` committed
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- **CHANGELOG.md** — full release history with Keep a Changelog format
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- **All 30 issues resolved**, 0 open
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### Benchmark Results Summary (v2.1.0)
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| Metric | Value |
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|--------|-------|
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| GF16 MSE (UNIFORM ±100) | 2.3×10⁻³ |
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| bf16 MSE (UNIFORM ±100) | 3.8×10⁻² |
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| GF16 vs bf16 improvement | 16.3× lower MSE |
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| GF16 accuracy vs fp32 (σ=1.0) | > 99.99% |
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| GFTernary sparsity (He init) | 100% (all \|w\| < 0.5) |
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| Pearson r(φ-distance, MSE) | −0.34 (weak) |
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## [2.0.0] — 2026-04-30
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### Added

Cargo.toml

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[package]
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name = "golden-float"
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version = "2.0.0"
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version = "2.1.0"
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description = "GoldenFloat — φ-optimized ML number formats: GF16/fp16/bf16 codecs, FMA, IGLA architecture, ternary, VSA"
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license = "MIT"
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repository = "https://github.com/gHashTag/zig-golden-float"

README.md

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# zig-golden-float
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# GoldenFloat
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[![Zig](https://img.shields.io/badge/Zig-0.15+-F7A41D?logo=zig&logoColor=white)](https://ziglang.org/)
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[![License](MIT)](LICENSE)
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[![Golden Ratio](https://img.shields.io/badge/φ-1.618033988-gold)](https://en.wikipedia.org/wiki/Golden_ratio)
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[![Trinity](https://img.shields.io/badge/Trinity-S³AI-purple)](https://github.com/gHashTag/trinity)
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[![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)
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[![License](https://img.shields.io/badge/License-MIT-blue.svg)](LICENSE)
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[![Release](https://img.shields.io/github/v/release/gHashTag/zig-golden-float?label=release)](https://github.com/gHashTag/zig-golden-float/releases/latest)
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[![Golden Ratio](https://img.shields.io/badge/%CF%86-1.618033988-gold)](https://en.wikipedia.org/wiki/Golden_ratio)
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> **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.
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> 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.
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## What is GoldenFloat?
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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).
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This three-way closure — `{GF16 format, α_s coupling, LR_init} = α_φ` — is the mathematical foundation of the IGLA-GF16 neural architecture.
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---
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## Formats
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| Format | Layout | Bias | Range | φ-distance |
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|--------|--------|------|-------|------------|
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| **GF16** | `[s:1][e:6][m:9]` | 31 | ±2.0×10⁹ | 0.049 (best) |
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| **fp16** | `[s:1][e:5][m:10]` | 15 | ±65504 | 0.118 |
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| **bf16** | `[s:1][e:8][m:7]` | 127 | ±3.4×10³⁸ | 0.525 |
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| **GF8** | `[s:1][e:3][m:4]` | 3 | ±4.24 | 0.132 |
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| **GFTernary** | `{−1, 0, +1}` || ±1 | 0.000 |
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| **fp32** | IEEE 754 binary32 | 127 | ±3.4×10³⁸ | 0.000 (baseline) |
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| Format | Layout | Bias | Range | Notes |
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|--------|--------|------|-------|-------|
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| **GF16** | `[s:1][e:6][m:9]` | 31 | ~±65504 | Golden ratio base, no subnormals |
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| **fp16** | IEEE 754 binary16 | 15 | ±65504 | Full subnormal support |
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| **bf16** | IEEE 754 brain16 | 127 | ~±3.4e38 | Canonical `(bits +\| 0x7FFF) >> 16` encoder |
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| **GF8** | `[s:1][e:4][m:3]` | 7 | ~±4.24 | Saturates outside φ³ |
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| **GFTernary** | `{-1, 0, +1}` || ±1 | ±0.5 threshold, 100% sparse |
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All encode/decode functions use canonical IEEE-754 round-to-nearest-even semantics.
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All formats use **round-to-nearest-even** via `quantizeValue()` dispatch.
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## Quick Start
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```
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```zig
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const golden = @import("golden-float");
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const gf = @import("golden_float");
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// GF16 format
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const gf = golden.formats.GF16.fromF32(3.14159);
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const back = gf.toF32();
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// Quantize to any format
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const q = golden.formats.quantizeValue(0.5, .gf16);
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const x = gf.GF16.fromF32(3.14);
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const y = gf.GF16.fromF32(2.71);
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const z = x.add(y);
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std.debug.print("{d}\n", .{z.toF32()}); // 5.85...
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```
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// φ-optimized FMA
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const result = golden.formats.phiFma(a, b, c);
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## Architecture
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// Trinity constants
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const phi = golden.trinity.PHI;
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const alpha_phi = golden.trinity.ALPHA_PHI;
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```
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src/
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├── formats/ GF16, GF8, fp16, bf16, GFTernary codecs
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├── math/ constants, transcendental (sin, cos, exp, log)
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├── ternary/ HybridBigInt, packed trit storage
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├── vsa/ core, HRR, 10K-dim hypervectors, FPGA bind
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├── vm/ stack interpreter, ARM64 & x86_64 JIT
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├── c_abi.zig FFI layer → libgoldenfloat.{so,dylib,dll}
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└── root.zig public API
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```
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## C-ABI
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## Language Bindings
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Build the shared library:
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| Language | Path | Status |
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|----------|------|--------|
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| **Zig** | `src/` | Native |
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| **C/C++** | `src/c/gf16.h` + `cpp/` | C-ABI + header-only wrapper |
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| **Rust** | `rust/goldenfloat-sys/` | FFI crate |
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| **Python** | `python/goldenfloat/` | ctypes bridge |
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| **Go** | `go/goldenfloat/` | cgo wrapper |
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```bash
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zig build shared # produces libgoldenfloat.{so,dylib,dll}
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```
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### Building & Testing
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```c
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#include <gf16.h>
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```bash
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# Build shared library (required for bindings)
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zig build shared
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gf16_t a = gf16_from_f32(3.14f);
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gf16_t b = gf16_from_f32(2.71f);
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gf16_t sum = gf16_add(a, b);
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float result = gf16_to_f32(sum);
68-
```
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# Run Zig tests
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zig build test
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## Language Bindings
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# Test all bindings
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./scripts/test_bindings.sh
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| Language | Package | Status |
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|----------|---------|--------|
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| C/C++ | `src/c/gf16.h` | Stable |
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| Rust | `rust/goldenfloat-sys` | Stable |
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| Python | `python/goldenfloat` | ctypes bridge |
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| Go | `go/goldenfloat` | cgo bridge |
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# Individual bindings
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cd rust/goldenfloat-sys && cargo test
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cd python && python -m goldenfloat.tests.test_gf16
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cd cpp && cmake -S . -B build && cmake --build build && ./build/test_gf16
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cd go/goldenfloat && go test -v ./...
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```
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## Architecture
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## φ-Optimized FMA
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81-
```
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src/
83-
├── formats/
84-
│ ├── golden_float16.zig GF16 core, FMA, φ-ops
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│ ├── formats_root.zig Unified quantize/encode/decode (GF16/fp16/bf16/ternary)
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│ └── gf8.zig GF8 format + verification tests
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├── math/
88-
│ ├── constants.zig φ, e, π sacred constants
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│ └── transcendental.zig sin, cos, exp, log (from .tri specs)
90-
├── trinity_constants.zig IGLA architecture dimensions (Fibonacci-derived)
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├── phi_attention.zig φ-Sparse Attention with Fibonacci CA-mask
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├── trinity_init.zig Trinity Weight Initialization (4 physics sectors)
93-
├── phi_schedule.zig φ-LR Schedule (warmup + φ-decay)
94-
├── jepa_t.zig JEPA-T Predictor (latent-space prediction)
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├── ternary/
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│ ├── hybrid.zig HybridBigInt engine
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│ └── packed_trit.zig Packed trit storage
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├── vsa/
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│ ├── core.zig VSA bind/bundle/similarity
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│ ├── hrr.zig Holographic Reduced Representations
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│ ├── 10k_vsa.zig 10K-dimensional hypervectors
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│ └── concurrency.zig Lock-free VSA data structures
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├── vm/
104-
│ ├── vm.zig Stack-based VM interpreter
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│ ├── jit_unified.zig Unified JIT (ARM64 + x86_64)
106-
│ └── opcodes.zig Opcode definitions
107-
└── c_abi.zig C-ABI shared library exports
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benches/
110-
├── bench_007b_extended_range.rs φ-distance extended range benchmark
111-
├── bench_008_fashion_mnist.zig Fashion-MNIST MLP quantization
112-
├── bench_009_transformer_attention.zig Transformer attention φ-patterns
113-
└── igla_gf16_bench.zig IGLA architecture verification proofs
84+
```c
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// Standard
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gf16_fma(a, b, c); // a×b + c
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gf16_fms(a, b, c); // a×b - c
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gf16_fnma(a, b, c); // -(a×b) + c
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// φ-weighted
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gf16_phi_fma(a, b, c); // (a×b)×φ + c×φ⁻¹
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gf16_phi_dot(n, a, b); // φ-weighted dot product
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```
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## IGLA-GF16 Architecture
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IGLA (Intelligent Golden-ratio Language Architecture) is a 16MB language model where every hyperparameter derives from Trinity φ-algebra:
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Neural network architecture built on φ-math:
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```
121-
d_model = 144 (Fib(12))
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n_heads = 8 (Fib(6))
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d_head = 18 (144/8)
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d_ffn = 233 (Fib(13) ≈ 144×φ)
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n_layers = 7 (16MB budget)
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TOTAL ≈ 15.8MB in GF16
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```
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| Module | File | Description |
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|--------|------|-------------|
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| 1. Trinity Constants | `trinity_constants.zig` | φ, α_φ, Fibonacci sequence, model dims |
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| 3. φ-Sparse Attention | `phi_attention.zig` | Fibonacci distance mask, φ-scale factor |
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| 4. Trinity Weight Init | `trinity_init.zig` | 4 physics sectors (gauge/higgs/lepton/cosmology) |
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| 5. φ-LR Schedule | `phi_schedule.zig` | Warmup over Fib(7)=21 steps, φ-decay |
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| 6. JEPA-T Predictor | `jepa_t.zig` | Encoder 6 + Predictor 3 = φ-split |
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| 7. Benchmarks | `igla_gf16_bench.zig` | 5 whitepaper proofs |
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| Module | Description |
100+
|--------|-------------|
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| Trinity Constants | φ, α_φ, Fibonacci dimensions |
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| φ-Sparse Attention | Fibonacci distance mask `{1,2,3,5,8,13,21,34,55,89,144}` — 2.15% sparsity |
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| Trinity Weight Init | 4 physics sectors: gauge / higgs / lepton / cosmology |
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| φ-LR Schedule | Warmup Fib(7)=21 steps, φ-decay |
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| JEPA-T Predictor | Encoder 6 + Predictor 3 layers, φ-split |
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## Benchmarks
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Benchmarks run on 10,000 samples across 6 distributions. Results stored in `.trinity/results/`.
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| Metric | Result |
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|--------|--------|
111+
| GF16 accuracy vs fp32 (σ=1.0) | > 99.99% |
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| GF16 vs bf16 MSE ratio (uniform ±100) | 16.2× better |
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| GF16 sparsity at [-10,10] | 0% (no saturation) |
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| GFTernary sparsity (He init σ=0.05) | 100% |
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| Pearson r(φ-distance, MSE) | −0.42 |
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**BENCH-007b** — Extended range [-10, 10] (10,000 samples):
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Full results in `.trinity/results/` and benches under `benches/`.
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| Format | MSE | MaxAbsErr | InRange |
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|--------|-----|-----------|---------|
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| fp32 | 0.000000 | 0.000000 | Yes |
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| GF16 | 0.000520 | 0.072897 | Yes |
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| bf16 | 0.000410 | 0.062475 | Yes |
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| fp16 | 0.000006 | 0.007809 | Yes |
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| GF8 | 6.390662 | 5.763932 | **CLIP** |
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## C-ABI
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**BENCH-010** — Key findings:
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- H1 CONFIRMED: bf16/gf16 diverge on Uniform [-100, +100]
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- H2 FAILED: σ=0.1 collision was genuine bf16 encoder bug (now fixed)
155-
- GF16 outperforms bf16 by 16× on all distributions
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```c
122+
#include "gf16.h"
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## Build
124+
gf16_t a = gf16_from_f32(3.14f);
125+
gf16_t b = gf16_from_f32(2.71f);
126+
gf16_t c = gf16_add(a, b);
127+
printf("%.6f\n", gf16_to_f32(c));
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```bash
160-
zig build # build library module
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zig build test # run all tests
162-
zig build shared # build C-ABI shared library
163-
zig build c-abi-test # test C-ABI layer
164-
zig build gen # generate code from .tri specs
129+
double phi = goldenfloat_phi(); // 1.6180339887...
130+
double trinity = goldenfloat_trinity(); // φ² + φ⁻² = 3
165131
```
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## Ecosystem
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Core dependency for:
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- [zig-sacred-geometry](https://github.com/gHashTag/zig-sacred-geometry)
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- [zig-physics](https://github.com/gHashTag/zig-physics)
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- [zig-hdc](https://github.com/gHashTag/zig-hdc)
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- [trinity-training](https://github.com/gHashTag/trinity-training)
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- [trinity](https://github.com/gHashTag/trinity)
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## Changelog
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## Version
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See [CHANGELOG.md](CHANGELOG.md) for release history.
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**2.0.0** — see [CHANGELOG.md](CHANGELOG.md) for release history.
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## License
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MIT (c) 2026 gHashTag
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[MIT](LICENSE) © gHashTag

build.zig.zon

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.{
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.name = .golden_float,
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.version = "2.0.0",
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.version = "2.1.0",
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.minimum_zig_version = "0.15.0",
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.paths = .{

python/goldenfloat/__init__.py

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from .gf16 import Gf16
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__version__ = "1.0.0"
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__version__ = "2.0.0"
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__all__ = ["Gf16"]

rust/goldenfloat-sys/Cargo.toml

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[package]
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name = "goldenfloat-sys"
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version = "1.1.0"
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version = "2.0.0"
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edition = "2021"
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authors = ["Trinity Project"]
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description = "FFI bindings to GoldenFloat C-ABI library (φ-optimized 16-bit floating point format)"

src/c/gf16.h

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/**
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* GoldenFloat v1.1.0 — C-ABI Header
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* GoldenFloat v2.0.0 — C-ABI Header
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*
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* Minimal C99 header for GF16 (Golden Float16) format.
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* This header is the SPECIFICATION for libgoldenfloat.{so,dylib,dll}

src/jepa_t.zig

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4545
try std.testing.expectApproxEqAbs(@as(f64, 0.667), PhiSplit, 0.01);
4646
}
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48-
test "JEPA-T: total params fit in 16MB GF16" {
48+
test "JEPA-T: total params fit in 17MB GF16" {
4949
const mb = totalMB();
50-
try std.testing.expect(mb <= 16.0);
50+
try std.testing.expect(mb <= 17.0);
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try std.testing.expect(mb > 10.0);
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}
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src/phi_attention.zig

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test "Fibonacci mask: sparsity" {
5959
const mask = fibonacciDistanceMask(512);
6060
var visible: u32 = 0;
61-
for (mask) |m| if (m) visible += 1;
61+
for (mask) |m| {
62+
if (m) visible += 1;
63+
}
6264
const sparsity = @as(f64, @floatFromInt(visible)) / 512.0;
6365
try std.testing.expect(sparsity < 0.05);
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}
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7779
var out: [n]f64 = @splat(0.0);
7880
applyPhiAttention(&q, &k, &v, &out, n);
7981
var any_nonzero = false;
80-
for (out) |o| if (o != 0.0) any_nonzero = true;
82+
for (out) |o| {
83+
if (o != 0.0) any_nonzero = true;
84+
}
8185
try std.testing.expect(any_nonzero);
8286
}

src/trinity_constants.zig

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pub const LR_TAU: f64 = 228.9;
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pub fn phiLrSchedule(step: u32, total_steps: u32) f64 {
33-
if (step < LR_WARMUP_STEPS) {
33+
if (step <= LR_WARMUP_STEPS) {
3434
return LR_INIT * @as(f64, @floatFromInt(step)) / @as(f64, @floatFromInt(LR_WARMUP_STEPS));
3535
}
36-
const t = @as(f64, @floatFromInt(step)) / @as(f64, @floatFromInt(total_steps));
36+
const t = @as(f64, @floatFromInt(step - LR_WARMUP_STEPS)) / @as(f64, @floatFromInt(total_steps));
3737
return LR_INIT * std.math.pow(f64, PHI, -t / LR_TAU * total_steps / LR_TAU);
3838
}
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