{"key":"math-1","part":"math","fixed_point":"Signed int256 decimal Q30: 1e30 represents one; m/limits/sd are log-price units, v squared units. WAD converts by 1e12. Extra precision protects small CDF differences and variances while bounded products fit int256.","functions":[{"name":"ln","domain":"Positive Q30 x, real [1e-30,1e30]; clamps; tested ratio [0.5,2] and extended probes.","max_rel_error":2.3951467667424133e-18,"max_abs_error":1.34194604398e-19,"gas":10026},{"name":"exp","domain":"Real x in [-0.1,0.1] for accuracy; clamps to [-80,64]; gas includes extended probes.","max_rel_error":3.21752454376265e-30,"max_abs_error":3e-30,"gas":3868},{"name":"pdf","domain":"Standard normal z in [-8,8] for relative accuracy; Q30 tails through |z|<12, then zero.","max_rel_error":3.958615772849386e-16,"max_abs_error":2.46e-28,"gas":3999},{"name":"cdf","domain":"Standard normal z in [-8,8] for relative accuracy; saturates outside [-12,12].","max_rel_error":1.607468795310697e-15,"max_abs_error":9.27444477733e-19,"gas":4597},{"name":"sd","domain":"Q30 variance [0,0.0009], sd [0,0.03] (300 bps); clamps.","max_rel_error":1e-15,"max_abs_error":1e-30,"gas":4556},{"name":"trunc","domain":"Q30 (m,v,lo,hi); sd 0..300 bps, widths 0..200 bps, remote windows. real.py snap at mass<1e-12.","max_rel_error":1.979315803865206e-10,"max_abs_error":1.429754893525e-18,"gas":20328},{"name":"truncNormal","domain":"Same range; mathematical conditional moments, including far tails and narrow windows.","max_rel_error":1.979315803865206e-10,"max_abs_error":2.9612414741048e-17,"gas":147201}],"tests":{"passed":19,"failed":0},"bytes_runtime":5437,"knots":"","code_zb64":"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","code_sha256":"7440edc07ad0286cbfba0b96f331975cb6d32e9f786dc0f6b4c09fcc0cb34535","notes":"Solc 0.8.24, optimizer 200, IR, Paris. Gas is the maximum warm external harness call over all 650 deterministic vector inputs, including ABI overhead; runtime is the seven-API MathHarness. Library functions inline and use zero storage, no assembly or dependencies; flatten into Strategy.sol for the validator. Tests: 19 functions, 650 evaluations/1254 numerical comparisons, four 1024-case fuzz tests; plain offline Foundry also passes. Errors are conservative measured maxima versus mpmath 1.3.0 at 90 digits, adding one Q30 quantum; not a formal global bound. Zero reference outputs use absolute error only. exp accuracy uses fee inputs; pdf/cdf relative accuracy uses |z|<=8; smaller tails/variances have an unavoidable absolute quantum floor. Point masses, reversed endpoints, zero-width and distant windows are handled; trunc preserves the reference snap/v-quarter convention, truncNormal returns mathematical tail moments. SHA256 hashes decompressed raw tar. Full-policy callback parity and total afterSwap gas remain integration work."}
