{"$schema": "./SCHEMA_V2.json", "benchmark_metrics": {"memory_savings": 0.75, "speedup_vs_fp32": null, "use_cases": ["weight_quantization", "activation_caching", "lightweight_models"]}, "created_at": "2026-04-07T00:00:00+07:00", "description": "32 conformance vectors for GoldenFloat8 (GF8) 8-bit phi-structured floating point format", "format_bits": 8, "format_family": "GoldenFloat", "format_name": "GF8", "format_spec": {"exp_bias": 3, "exp_bits": 3, "exp_mant_ratio": 0.75, "mant_bits": 4, "memory_ratio_vs_fp32": 0.25, "sign_bits": 1}, "is_primary": true, "phi_distance": 0.132, "sacred_ok": true, "sacred_physics_links": [{"constant": "PHI", "encoded": 64, "ok": true, "relative_error": 0.0, "value": 1.618033988749895}, {"constant": "1/PHI", "encoded": null, "ok": true, "relative_error": null, "value": 0.6180339887498949}], "schema_version": 2, "seal": "sha256:PENDING_COMPUTE_ON_COMMIT", "test_vectors": [{"description": "Zero encodes to raw value 0", "expected": {"raw": 0}, "input": {"value": 0.0}, "name": "gf8_encode_zero", "verdict": "CLEAN"}, {"description": "Raw value 0 decodes to 0.0", "expected": {"value": 0.0}, "input": {"raw": 0}, "name": "gf8_decode_zero", "verdict": "CLEAN"}, {"description": "PHI (1.618...) encodes to raw 64 (0b01000000)", "expected": {"raw": 64}, "input": {"value": 1.618033988749895}, "name": "gf8_encode_phi", "phi_distance": 0.132, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "Raw 64 decodes to positive value (phi representation)", "expected": {"max_value": 2.0, "min_value": 1.0}, "input": {"raw": 64}, "name": "gf8_decode_phi_raw", "phi_distance": 0.132, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "1.0 encodes to normalized value", "expected": {"raw_max": 127, "raw_min": 64}, "input": {"value": 1.0}, "name": "gf8_encode_one", "verdict": "CLEAN"}, {"description": "Negative PHI encodes with sign bit set", "expected": {"raw": 192}, "input": {"value": -1.618033988749895}, "name": "gf8_encode_negative_phi", "phi_distance": 0.132, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "Raw 128 (sign bit set) decodes to negative value", "expected": {"max_value": -0.0}, "input": {"raw": 128}, "name": "gf8_decode_negative", "verdict": "CLEAN"}, {"description": "Maximum representable value (mant=15, exp=3)", "expected": {"value": 15.5}, "input": {"operation": "max_value"}, "name": "gf8_max_value", "verdict": "CLEAN"}, {"description": "Minimum positive subnormal value", "expected": {"value": 0.0625}, "input": {"operation": "min_positive"}, "name": "gf8_min_positive", "verdict": "CLEAN"}, {"description": "Epsilon at 1.0 (smallest representable difference)", "expected": {"value": 0.0625}, "input": {"operation": "epsilon"}, "name": "gf8_epsilon", "verdict": "CLEAN"}, {"description": "Encode typical NN weight 0.1", "expected": {"raw_max": 63, "raw_min": 0}, "input": {"value": 0.1}, "name": "gf8_encode_small_weight", "verdict": "CLEAN"}, {"description": "Encode tiny NN weight 0.01", "expected": {"raw_max": 15, "raw_min": 0}, "input": {"value": 0.01}, "name": "gf8_encode_tiny_weight", "verdict": "CLEAN"}, {"description": "Encode large value 8.0", "expected": {"raw_max": 127, "raw_min": 64}, "input": {"value": 8.0}, "name": "gf8_encode_large_weight", "verdict": "CLEAN"}, {"description": "Encode -1.0 with sign bit", "expected": {"raw_max": 191, "raw_min": 128}, "input": {"value": -1.0}, "name": "gf8_encode_minus_one", "verdict": "CLEAN"}, {"description": "Roundtrip: encode then decode positive value", "expected": {"relative_error": 0.125}, "input": {"value": 2.5}, "name": "gf8_roundtrip_positive", "verdict": "CLEAN"}, {"description": "Roundtrip: encode then decode negative value", "expected": {"relative_error": 0.125}, "input": {"value": -2.5}, "name": "gf8_roundtrip_negative", "verdict": "CLEAN"}, {"description": "PHI_DISTANCE == 0.132 (exp/mant ratio = 3/4)", "expected": {"phi_distance": 0.132, "tolerance": 0.001}, "input": {"invariant": "phi_distance"}, "name": "gf8_phi_distance_invariant", "phi_distance": 0.132, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "exp/mant = 3/4 = 0.75", "expected": {"ratio": 0.75}, "input": {"operation": "exp_mant_ratio"}, "name": "gf8_exp_mant_ratio", "verdict": "CLEAN"}, {"description": "Memory ratio vs FP32 is 8/32 = 0.25", "expected": {"ratio": 0.25}, "input": {"operation": "memory_ratio"}, "name": "gf8_memory_ratio_fp32", "verdict": "CLEAN"}, {"description": "SIGN_BITS + EXP_BITS + MANT_BITS = BITS", "expected": {"sum": 8}, "input": {"operation": "bits_sum"}, "name": "gf8_bits_sum", "verdict": "CLEAN"}, {"description": "Exponent bias = 2^(3-1) - 1 = 3", "expected": {"bias": 3}, "input": {"operation": "exp_bias"}, "name": "gf8_exp_bias", "verdict": "CLEAN"}, {"description": "x^0 = 1.0 for all positive x", "expected": {"tolerance": 1e-06, "value": 1.0}, "input": {"base": 2.5, "exp": 0.0}, "name": "gf8_pow_zero_exponent", "verdict": "CLEAN"}, {"description": "x^1 = x", "expected": {"tolerance": 1e-05, "value": 3.14}, "input": {"base": 3.14, "exp": 1.0}, "name": "gf8_pow_one_exponent", "verdict": "CLEAN"}, {"description": "ln(1.0) = 0.0", "expected": {"result": 0.0, "tolerance": 1e-06}, "input": {"value": 1.0}, "name": "gf8_ln_one", "verdict": "CLEAN"}, {"description": "exp(0.0) = 1.0", "expected": {"result": 1.0, "tolerance": 1e-06}, "input": {"value": 0.0}, "name": "gf8_exp_zero", "verdict": "CLEAN"}, {"description": "floor(3.7) = 3.0", "expected": {"result": 3.0, "tolerance": 1e-06}, "input": {"value": 3.7}, "name": "gf8_floor_positive", "verdict": "CLEAN"}, {"description": "floor(-3.2) = -4.0", "expected": {"result": -4.0, "tolerance": 1e-06}, "input": {"value": -3.2}, "name": "gf8_floor_negative", "verdict": "CLEAN"}, {"description": "Format validation against GoldenFloat family", "expected": {"valid": true}, "input": {"operation": "validate_format"}, "name": "gf8_validate_format", "verdict": "CLEAN"}, {"description": "Encode 1/PHI (0.618...)", "expected": {"raw_max": 63, "raw_min": 0}, "input": {"value": 0.6180339887498948}, "name": "gf8_encode_phi_inverse", "phi_distance": 0.132, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "Positive values encode with sign bit = 0", "expected": {"all_sign_bits_zero": true}, "input": {"values": [0.1, 1.0, 10.0]}, "name": "gf8_sign_preservation_positive", "verdict": "CLEAN"}, {"description": "Negative values encode with sign bit = 1", "expected": {"all_sign_bits_one": true}, "input": {"values": [-0.1, -1.0, -10.0]}, "name": "gf8_sign_preservation_negative", "verdict": "CLEAN"}, {"description": "Weight quantization encode+decode latency < 200ns", "expected": {"max_latency_ns": 200}, "input": {"operation": "bench_weight_quantize"}, "name": "gf8_weight_quantize_latency", "verdict": "CLEAN"}], "updated_at": "2026-04-07T00:00:00+07:00", "validated_at": "2026-04-07T00:00:00+07:00", "vector_name": "GF8 Conformance Vectors", "verdict": "CLEAN", "version": "1.0.0"}