| {"_row_type": "meta", "benchmark_metrics": {"decode_latency_target_ns": 200, "encode_latency_target_ns": 250, "exp_latency_target_ns": 500, "floor_latency_target_ns": 50, "ln_latency_target_ns": 300, "memory_savings_vs_fp32": 0.25, "pow_integer_latency_target_ns": 500, "use_cases": ["very_high_precision_quantization", "critical_numerical_stability", "financial_calculations", "near_fp32_quality"]}, "created_at": "2026-04-06T15:54:08Z", "description": "GoldenFloat24 Conformance Vectors -- NUMERIC-STANDARD-001", "format_bits": 24, "format_family": "GF24", "format_name": "GF24", "format_spec": {"bits": 24, "exp_bias": 255, "exp_bits": 9, "exp_mant_ratio": 0.6428571428571429, "mant_bits": 14, "memory_ratio_vs_fp32": 0.75, "sign_bits": 1}, "generated_at": "2026-04-04T19:00:00Z", "invariants": [{"assertion": "BITS == 24", "name": "gf24_bits_constant"}, {"assertion": "SIGN_BITS == 1", "name": "gf24_sign_bits_is_one"}, {"assertion": "EXP_BITS == 9", "name": "gf24_exp_bits_is_nine"}, {"assertion": "MANT_BITS == 14", "name": "gf24_mant_bits_is_fourteen"}, {"assertion": "max_value() >= min_positive()", "name": "gf24_max_ge_min_positive"}, {"assertion": "PHI_DISTANCE < 0.03", "name": "gf24_phi_distance_below_threshold"}, {"assertion": "EXP_BIAS > 0", "name": "gf24_exp_bias_positive"}, {"assertion": "pow(x, 0.0) == 1.0 for all positive x", "name": "gf24_pow_zero_exponent_identity"}, {"assertion": "pow(x, 1.0) == x for all valid x", "name": "gf24_pow_one_exponent_identity"}, {"assertion": "abs(exp_approx(ln_approx(x)) - x) < 0.01 for x=2.0", "name": "gf24_ln_exp_inversion"}, {"assertion": "floor(x) is integer for all f32 x", "name": "gf24_floor_returns_integer"}, {"assertion": "floor(2.5) <= floor(3.5)", "name": "gf24_floor_monotonic"}], "is_primary": false, "module": "GF24", "phi_distance": 0.02482317991669112, "ring": 27, "sacred_ok": true, "schema_version": 2, "seal": "sha256:ba8ce29b51a8db8371ec33187ff30445cabd2a5e6ddb1911e122d987505e9678", "spec_path": "specs/numeric/gf24.t27", "updated_at": "2026-04-06T15:54:08Z", "validated_at": "2026-04-06T15:54:08Z", "vector_name": "gf24 Vectors", "verdict": "CLEAN", "version": "1.0"} | |
| {"_row_type": "vector", "expected": {"decoded": 0.0, "tolerance_abs": 0.0}, "inputs": {"raw": 0}, "test_name": "gf24_decode_zero", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"decoded": 0.0, "raw": 0, "tolerance_abs": 0.0}, "inputs": {"value": 0.0}, "test_name": "gf24_encode_zero_roundtrip", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"total": 24}, "inputs": {"exp_bits": 9, "mant_bits": 14, "sign_bits": 1}, "test_name": "gf24_bits_sum_correct", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"max_value_positive": true}, "inputs": {}, "test_name": "gf24_max_value_positive", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"min_positive_gt_zero": true}, "inputs": {}, "test_name": "gf24_min_positive_greater_than_zero", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"epsilon": 6.103515625e-05, "positive": true}, "inputs": {}, "test_name": "gf24_epsilon_positive", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"less_than": 0.03}, "inputs": {"phi_distance": 0.02482317991669112}, "test_name": "gf24_phi_distance_within_tolerance", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"target": 0.75, "tolerance_abs": 0.01}, "inputs": {"ratio": 0.75}, "test_name": "gf24_memory_ratio_vs_fp32", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"valid": true}, "inputs": {}, "test_name": "gf24_validate_format_success", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"decoded": 1.0, "exp_biased": 255, "mant": 0, "tolerance_abs": 6.103515625e-05}, "inputs": {"value": 1.0}, "test_name": "gf24_one_point_zero", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"decoded": 1.618041992, "sacred_ok": true, "tolerance_abs": 0.0001}, "inputs": {"value": 1.61803398875}, "test_name": "gf24_phi_golden_ratio", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 1.0, "tolerance_abs": 1e-06}, "inputs": {"base": 2.0, "exponent": 0.0}, "test_name": "gf24_pow_zero_exponent_returns_one", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 32.0, "tolerance_abs": 1e-05}, "inputs": {"base": 2.0, "exponent": 5.0}, "test_name": "gf24_pow_positive_integer_exponent", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 0.125, "tolerance_abs": 1e-05}, "inputs": {"base": 2.0, "exponent": -3.0}, "test_name": "gf24_pow_negative_integer_exponent", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 2.0, "tolerance_abs": 0.0001}, "inputs": {"base": 4.0, "exponent": 0.5}, "test_name": "gf24_pow_fractional_exponent", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 0.0, "tolerance_abs": 1e-06}, "inputs": {"x": 1.0}, "test_name": "gf24_ln_approx_of_one", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 1.0, "tolerance_abs": 0.01}, "inputs": {"x": 2.718281828459045}, "test_name": "gf24_ln_approx_of_e", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 1.0, "tolerance_abs": 1e-06}, "inputs": {"x": 0.0}, "test_name": "gf24_exp_approx_zero", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 2.718281828459045, "tolerance_abs": 0.01}, "inputs": {"x": 1.0}, "test_name": "gf24_exp_approx_one", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": 3.0, "tolerance_abs": 1e-06}, "inputs": {"x": 3.7}, "test_name": "gf24_floor_positive", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "expected": {"result": -4.0, "tolerance_abs": 1e-06}, "inputs": {"x": -3.2}, "test_name": "gf24_floor_negative", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: BITS == 24", "expected": {"value": true}, "input": {"assertion": "BITS == 24"}, "name": "inv_gf24_bits_constant", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: SIGN_BITS == 1", "expected": {"value": true}, "input": {"assertion": "SIGN_BITS == 1"}, "name": "inv_gf24_sign_bits_is_one", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: EXP_BITS == 9", "expected": {"value": true}, "input": {"assertion": "EXP_BITS == 9"}, "name": "inv_gf24_exp_bits_is_nine", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: MANT_BITS == 14", "expected": {"value": true}, "input": {"assertion": "MANT_BITS == 14"}, "name": "inv_gf24_mant_bits_is_fourteen", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: max_value() >= min_positive()", "expected": {"value": true}, "input": {"assertion": "max_value() >= min_positive()"}, "name": "inv_gf24_max_ge_min_positive", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: PHI_DISTANCE < 0.03", "expected": {"value": true}, "input": {"assertion": "PHI_DISTANCE < 0.03"}, "name": "inv_gf24_phi_distance_below_threshold", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: EXP_BIAS > 0", "expected": {"value": true}, "input": {"assertion": "EXP_BIAS > 0"}, "name": "inv_gf24_exp_bias_positive", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: pow(x, 0.0) == 1.0 for all positive x", "expected": {"value": true}, "input": {"assertion": "pow(x, 0.0) == 1.0 for all positive x"}, "name": "inv_gf24_pow_zero_exponent_identity", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: pow(x, 1.0) == x for all valid x", "expected": {"value": true}, "input": {"assertion": "pow(x, 1.0) == x for all valid x"}, "name": "inv_gf24_pow_one_exponent_identity", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: abs(exp_approx(ln_approx(x)) - x) < 0.01 for x=2.0", "expected": {"value": true}, "input": {"assertion": "abs(exp_approx(ln_approx(x)) - x) < 0.01 for x=2.0"}, "name": "inv_gf24_ln_exp_inversion", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: floor(x) is integer for all f32 x", "expected": {"value": true}, "input": {"assertion": "floor(x) is integer for all f32 x"}, "name": "inv_gf24_floor_returns_integer", "verdict": "CLEAN"} | |
| {"_row_type": "vector", "description": "Invariant: floor(2.5) <= floor(3.5)", "expected": {"value": true}, "input": {"assertion": "floor(2.5) <= floor(3.5)"}, "name": "inv_gf24_floor_monotonic", "verdict": "CLEAN"} | |