{
  "family": "cantilever_uniform_at_deflection",
  "generator_id": "cantilever-uniform-at-mpmath-o3",
  "generator_version": "1.0.0",
  "seed": "20260927.cantilever-uniform-at-o3",
  "mpmath_dps": 80,
  "precision_bits": 265,
  "library": "mpmath 1.4.1",
  "notes": "cantilever uniform at station \u03b4 = w x\u00b2(6L\u00b2\u22124Lx+x\u00b2)/(24 E I); + O3 mpmath tabulated \u03b4.",
  "vectors": [
    {
      "id": "o3-check",
      "kind": "check",
      "inputs": {
        "w": "24",
        "x": "2",
        "L": "2",
        "E": "1",
        "I": "1"
      },
      "delta_f64": 48.0,
      "delta_decimal": "48.00000000000000000000000000000000000000",
      "w_f64": 24.0,
      "w_decimal": "24.00000000000000000000000000000000000000",
      "x_f64": 2.0,
      "x_decimal": "2.000000000000000000000000000000000000000",
      "L_f64": 2.0,
      "L_decimal": "2.000000000000000000000000000000000000000",
      "E_f64": 1.0,
      "E_decimal": "1.000000000000000000000000000000000000000",
      "I_f64": 1.0,
      "I_decimal": "1.000000000000000000000000000000000000000"
    },
    {
      "id": "o3-SI",
      "kind": "SI",
      "inputs": {
        "w": "1000",
        "x": "2",
        "L": "2",
        "E": "200000000000",
        "I": "0.00001"
      },
      "delta_f64": 0.001,
      "delta_decimal": "0.001000000000000000000000000000000000000000",
      "w_f64": 1000.0,
      "w_decimal": "1000.000000000000000000000000000000000000",
      "x_f64": 2.0,
      "x_decimal": "2.000000000000000000000000000000000000000",
      "L_f64": 2.0,
      "L_decimal": "2.000000000000000000000000000000000000000",
      "E_f64": 200000000000.0,
      "E_decimal": "200000000000.0000000000000000000000000000",
      "I_f64": 1e-05,
      "I_decimal": "0.00001000000000000000000000000000000000000000"
    },
    {
      "id": "o3-alias",
      "kind": "alias",
      "inputs": {
        "intensity": "48",
        "span": "2",
        "modulus": "1",
        "Ix": "1",
        "x": "2"
      },
      "delta_f64": 96.0,
      "delta_decimal": "96.00000000000000000000000000000000000000",
      "w_f64": 48.0,
      "w_decimal": "48.00000000000000000000000000000000000000",
      "x_f64": 2.0,
      "x_decimal": "2.000000000000000000000000000000000000000",
      "L_f64": 2.0,
      "L_decimal": "2.000000000000000000000000000000000000000",
      "E_f64": 1.0,
      "E_decimal": "1.000000000000000000000000000000000000000",
      "I_f64": 1.0,
      "I_decimal": "1.000000000000000000000000000000000000000"
    },
    {
      "id": "o3-awkward",
      "kind": "awkward",
      "inputs": {
        "w": "13.7",
        "x": "1.2",
        "L": "2",
        "E": "210000",
        "I": "0.83"
      },
      "delta_f64": 7.470154905335628e-05,
      "delta_decimal": "0.00007470154905335628227194492254733218588640",
      "w_f64": 13.7,
      "w_decimal": "13.70000000000000000000000000000000000000",
      "x_f64": 1.2,
      "x_decimal": "1.200000000000000000000000000000000000000",
      "L_f64": 2.0,
      "L_decimal": "2.000000000000000000000000000000000000000",
      "E_f64": 210000.0,
      "E_decimal": "210000.0000000000000000000000000000000000",
      "I_f64": 0.83,
      "I_decimal": "0.8300000000000000000000000000000000000000"
    },
    {
      "id": "o3-neg",
      "kind": "signed",
      "inputs": {
        "w": "-24",
        "x": "2",
        "L": "2",
        "E": "1",
        "I": "1"
      },
      "delta_f64": -48.0,
      "delta_decimal": "-48.00000000000000000000000000000000000000",
      "w_f64": -24.0,
      "w_decimal": "-24.00000000000000000000000000000000000000",
      "x_f64": 2.0,
      "x_decimal": "2.000000000000000000000000000000000000000",
      "L_f64": 2.0,
      "L_decimal": "2.000000000000000000000000000000000000000",
      "E_f64": 1.0,
      "E_decimal": "1.000000000000000000000000000000000000000",
      "I_f64": 1.0,
      "I_decimal": "1.000000000000000000000000000000000000000"
    },
    {
      "id": "o3-small",
      "kind": "small",
      "inputs": {
        "w": "10",
        "x": "0.5",
        "L": "2",
        "E": "1000",
        "I": "0.01"
      },
      "delta_f64": 0.2109375,
      "delta_decimal": "0.2109375000000000000000000000000000000000",
      "w_f64": 10.0,
      "w_decimal": "10.00000000000000000000000000000000000000",
      "x_f64": 0.5,
      "x_decimal": "0.5000000000000000000000000000000000000000",
      "L_f64": 2.0,
      "L_decimal": "2.000000000000000000000000000000000000000",
      "E_f64": 1000.0,
      "E_decimal": "1000.000000000000000000000000000000000000",
      "I_f64": 0.01,
      "I_decimal": "0.01000000000000000000000000000000000000000"
    },
    {
      "id": "o3-stiff",
      "kind": "stiff",
      "inputs": {
        "w": "500",
        "x": "1",
        "L": "2",
        "E": "210e9",
        "I": "2e-4"
      },
      "delta_f64": 8.432539682539682e-06,
      "delta_decimal": "0.000008432539682539682539682539682539682539683",
      "w_f64": 500.0,
      "w_decimal": "500.0000000000000000000000000000000000000",
      "x_f64": 1.0,
      "x_decimal": "1.000000000000000000000000000000000000000",
      "L_f64": 2.0,
      "L_decimal": "2.000000000000000000000000000000000000000",
      "E_f64": 210000000000.0,
      "E_decimal": "210000000000.0000000000000000000000000000",
      "I_f64": 0.0002,
      "I_decimal": "0.0002000000000000000000000000000000000000000"
    },
    {
      "id": "o3-long",
      "kind": "long",
      "inputs": {
        "w": "200",
        "x": "2",
        "L": "4",
        "E": "70e9",
        "I": "5e-5"
      },
      "delta_f64": 0.0006476190476190476,
      "delta_decimal": "0.0006476190476190476190476190476190476190476",
      "w_f64": 200.0,
      "w_decimal": "200.0000000000000000000000000000000000000",
      "x_f64": 2.0,
      "x_decimal": "2.000000000000000000000000000000000000000",
      "L_f64": 4.0,
      "L_decimal": "4.000000000000000000000000000000000000000",
      "E_f64": 70000000000.0,
      "E_decimal": "70000000000.00000000000000000000000000000",
      "I_f64": 5e-05,
      "I_decimal": "0.00005000000000000000000000000000000000000000"
    }
  ]
}