mathburst.fireheartjerry.chatgpt.site

{
  "type": "object",
  "properties": {
    "mode": {
      "type": "string",
      "enum": [
        "pen",
        "highlighter"
      ],
      "description": "\"pen\" (default): thin graphite, width 3. \"highlighter\": wide translucent violet, width 18."
    },
    "color": {
      "type": "string",
      "description": "CSS color. Default \"#171713\" for pen, \"#7c5cff\" for highlighter."
    },
    "width": {
      "type": "number",
      "exclusiveMinimum": 0,
      "maximum": 60,
      "description": "Stroke width in world px, 0..60. Default by mode."
    },
    "strokes": {
      "type": "array",
      "minItems": 1,
      "maxItems": 64,
      "items": {
        "type": "array",
        "minItems": 1,
        "items": {
          "type": "object",
          "description": "A point {x, y} in world px (canvas units, y grows downward).",
          "properties": {
            "x": {
              "type": "number",
              "description": "Horizontal position in world px."
            },
            "y": {
              "type": "number",
              "description": "Vertical position in world px; larger is lower."
            }
          },
          "required": [
            "x",
            "y"
          ],
          "additionalProperties": false
        },
        "description": "One stroke: ordered world points."
      },
      "description": "Up to 64 strokes of world px points, e.g. [[{x: 100, y: 200}, {x: 300, y: 200}]]."
    },
    "parametric": {
      "type": "object",
      "properties": {
        "x": {
          "type": "string",
          "description": "LaTeX for x(t) in world px, e.g. \"200+80\\\\cos(t)\"."
        },
        "y": {
          "type": "string",
          "description": "LaTeX for y(t) in world px, e.g. \"300+80\\\\sin(t)\"."
        },
        "t0": {
          "type": "number",
          "description": "Start of the parameter range, e.g. 0."
        },
        "t1": {
          "type": "number",
          "description": "End of the parameter range (> t0), e.g. 6.283."
        },
        "samples": {
          "type": "integer",
          "minimum": 2,
          "maximum": 400,
          "description": "Sample count 2..400. Default 120."
        }
      },
      "required": [
        "x",
        "y",
        "t0",
        "t1"
      ],
      "additionalProperties": false,
      "description": "A parametric curve (x(t), y(t)) in world px."
    },
    "piecewise": {
      "type": "array",
      "minItems": 1,
      "maxItems": 32,
      "description": "Pieces of y = f(x) in world px; undefined points split the stroke.",
      "items": {
        "type": "object",
        "properties": {
          "latex": {
            "type": "string",
            "description": "LaTeX for y(x) in world px, e.g. \"300-0.01(x-400)^2\"."
          },
          "from": {
            "type": "number",
            "description": "Start x in world px."
          },
          "to": {
            "type": "number",
            "description": "End x in world px (> from)."
          },
          "samples": {
            "type": "integer",
            "minimum": 2,
            "maximum": 400,
            "description": "Sample count 2..400. Default 80."
          }
        },
        "required": [
          "latex",
          "from",
          "to"
        ],
        "additionalProperties": false,
        "description": "One piece {latex, from, to, samples?}."
      }
    },
    "construct": {
      "type": "boolean",
      "description": "true: create it unbuilt (drawProgress 0), then animate drawProgress 0 to 1 on a timeline to build it on screen. Ink draws stroke by stroke."
    }
  },
  "additionalProperties": false,
  "examples": [
    {
      "mode": "highlighter",
      "strokes": [
        [
          {
            "x": 120,
            "y": 210
          },
          {
            "x": 380,
            "y": 212
          }
        ]
      ]
    },
    {
      "strokes": [
        [
          {
            "x": 100,
            "y": 100
          },
          {
            "x": 140,
            "y": 160
          },
          {
            "x": 180,
            "y": 100
          }
        ]
      ],
      "color": "#c0392b"
    },
    {
      "parametric": {
        "x": "400+60\\cos(t)",
        "y": "300+60\\sin(t)",
        "t0": 0,
        "t1": 6.2832
      }
    }
  ]
}