{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "urn:oracq:qcl-plan:0.1",
  "type": "object",
  "additionalProperties": false,
  "required": [
    "version",
    "order",
    "pde"
  ],
  "properties": {
    "version": {
      "const": "0.1"
    },
    "order": {
      "type": "integer",
      "minimum": 0
    },
    "pde": {
      "$ref": "#/$defs/pde"
    }
  },
  "$defs": {
    "name": {
      "type": "string",
      "pattern": "^[A-Za-z_][A-Za-z0-9_]*$"
    },
    "derivative": {
      "type": "array",
      "items": {
        "type": "array",
        "prefixItems": [
          {
            "$ref": "#/$defs/name"
          },
          {
            "type": "integer",
            "minimum": 1
          }
        ],
        "items": false,
        "minItems": 2,
        "maxItems": 2
      }
    },
    "atom": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "name",
        "derivative"
      ],
      "properties": {
        "name": {
          "$ref": "#/$defs/name"
        },
        "derivative": {
          "$ref": "#/$defs/derivative"
        }
      }
    },
    "monomial": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "coefficient",
        "fields",
        "known",
        "outer_derivative"
      ],
      "properties": {
        "coefficient": {
          "type": "array",
          "items": {
            "type": "number"
          },
          "minItems": 2,
          "maxItems": 2
        },
        "fields": {
          "type": "array",
          "items": {
            "$ref": "#/$defs/atom"
          }
        },
        "known": {
          "type": "array",
          "items": {
            "$ref": "#/$defs/atom"
          }
        },
        "outer_derivative": {
          "$ref": "#/$defs/derivative"
        }
      }
    },
    "term": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "output",
        "monomial"
      ],
      "properties": {
        "output": {
          "$ref": "#/$defs/name"
        },
        "monomial": {
          "$ref": "#/$defs/monomial"
        }
      }
    },
    "pde": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "version",
        "label",
        "fields",
        "axes",
        "terms"
      ],
      "properties": {
        "version": {
          "const": "0.1"
        },
        "label": {
          "type": "string"
        },
        "fields": {
          "type": "array",
          "minItems": 1,
          "uniqueItems": true,
          "items": {
            "$ref": "#/$defs/name"
          }
        },
        "axes": {
          "type": "array",
          "uniqueItems": true,
          "items": {
            "$ref": "#/$defs/name"
          }
        },
        "terms": {
          "type": "array",
          "items": {
            "$ref": "#/$defs/term"
          }
        }
      }
    }
  }
}