{
  "family": "incline_slip_or_tip",
  "generator_id": "incline-slip-or-tip-mpmath-o3",
  "generator_version": "1.0.0",
  "seed": "20260927.incline-slip-or-tip-o3",
  "mpmath_dps": 80,
  "precision_bits": 265,
  "library": "mpmath 1.4.1",
  "notes": "\u03b8_slip = arctan(\u03bc), \u03b8_tip = arctan(b/h); \u03b8 is the smaller. + O3 mpmath tabulated \u03b8.",
  "vectors": [
    {
      "id": "o3-either",
      "kind": "either",
      "inputs": {
        "mu": "1",
        "b": "2",
        "h": "2"
      },
      "theta_deg_f64": 45.0,
      "theta_deg_decimal": "45.00000000000000000000000000000000000000",
      "theta_slip_deg_f64": 45.0,
      "theta_slip_deg_decimal": "45.00000000000000000000000000000000000000",
      "theta_tip_deg_f64": 45.0,
      "theta_tip_deg_decimal": "45.00000000000000000000000000000000000000",
      "mode": "either"
    },
    {
      "id": "o3-slip",
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      "inputs": {
        "mu": "0.25",
        "b": "2",
        "h": "1"
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      "theta_deg_f64": 14.036243467926479,
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      "id": "o3-tip",
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        "mu": "0.8",
        "b": "1",
        "h": "2"
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    },
    {
      "id": "o3-alias",
      "kind": "alias",
      "inputs": {
        "mu_s": "0.5",
        "width": "3",
        "height": "3"
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    },
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      "id": "o3-awkward",
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        "mu": "0.37",
        "b": "2.5",
        "h": "1.8"
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      "id": "o3-steep",
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        "mu": "0.1",
        "b": "0.5",
        "h": "4"
      },
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      "theta_slip_deg_f64": 5.710593137499642,
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      "theta_tip_deg_decimal": "7.125016348901797561953300841206844749052",
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    },
    {
      "id": "o3-flat",
      "kind": "flat",
      "inputs": {
        "mu": "0.9",
        "b": "4",
        "h": "0.5"
      },
      "theta_deg_f64": 41.98721249581666,
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      "theta_slip_deg_f64": 41.98721249581666,
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    },
    {
      "id": "o3-mild",
      "kind": "mild",
      "inputs": {
        "mu": "0.3",
        "b": "1.5",
        "h": "1.5"
      },
      "theta_deg_f64": 16.69924423399362,
      "theta_deg_decimal": "16.69924423399362184036884717998358955355",
      "theta_slip_deg_f64": 16.69924423399362,
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      "theta_tip_deg_f64": 45.0,
      "theta_tip_deg_decimal": "45.00000000000000000000000000000000000000",
      "mode": "slip"
    }
  ]
}