{
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  "engine_build": "2026-09-20",
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      "sources",
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    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
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    "Not the circle-only calculator — a=b is a valid ellipse with e=0; /calc/math/circle stays the circle page",
    "Not coordinate geometry (two-point line / intersection / angle)",
    "Ellipse perimeter is Ramanujan I, not a complete elliptic integral",
    "a ≤ 0 or b ≤ 0 → VALUE_MUST_BE_POSITIVE",
    "parabola p = 0 → INVALID_INPUT",
    "unknown mode (including cas, circle, pythagorean) → INVALID_MODE"
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  "boundary_conditions": [
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    "parabola p = 0 → INVALID_INPUT",
    "unknown mode → INVALID_MODE"
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        "a": 5,
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        "minor": 4,
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      "inputs": {
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        "p": 1
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      "expect": {
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        "orientation": "vertical",
        "focus_x": 0,
        "focus_y": 1,
        "directrix": "y = -1",
        "equation": "x² = 4y",
        "formula": "x² = 4py"
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      "tol": null
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      "ok": true,
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      "kind": "property",
      "detail": "3-4-5 hyperbola",
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      "actual": 5
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