Physics MCP Server

/** * Type definitions and schemas for plotting tools */ // JSON Schema definitions export const function2DSchema = { type: "object", properties: { f: { type: "string", description: "Function expression f(x)" }, x_min: { type: "number", description: "Minimum x value" }, x_max: { type: "number", description: "Maximum x value" }, samples: { type: "integer", description: "Number of sample points", default: 1000, minimum: 10 }, title: { type: "string", description: "Plot title" }, xlabel: { type: "string", description: "X-axis label", default: "x" }, ylabel: { type: "string", description: "Y-axis label", default: "f(x)" }, dpi: { type: "integer", description: "Image DPI", default: 100, minimum: 50 }, width: { type: "number", description: "Figure width in inches", default: 8 }, height: { type: "number", description: "Figure height in inches", default: 6 } }, required: ["f", "x_min", "x_max"] }; export const parametric2DSchema = { type: "object", properties: { x_t: { type: "string", description: "Parametric x(t) expression" }, y_t: { type: "string", description: "Parametric y(t) expression" }, t_min: { type: "number", description: "Minimum parameter value" }, t_max: { type: "number", description: "Maximum parameter value" }, samples: { type: "integer", description: "Number of sample points", default: 1000, minimum: 10 }, title: { type: "string", description: "Plot title" }, xlabel: { type: "string", description: "X-axis label", default: "x" }, ylabel: { type: "string", description: "Y-axis label", default: "y" }, dpi: { type: "integer", description: "Image DPI", default: 100, minimum: 50 }, width: { type: "number", description: "Figure width in inches", default: 8 }, height: { type: "number", description: "Figure height in inches", default: 6 } }, required: ["x_t", "y_t", "t_min", "t_max"] }; export const field2DSchema = { type: "object", properties: { fx: { type: "string", description: "X-component of vector field F_x(x,y)" }, fy: { type: "string", description: "Y-component of vector field F_y(x,y)" }, x_min: { type: "number", description: "Minimum x value" }, x_max: { type: "number", description: "Maximum x value" }, y_min: { type: "number", description: "Minimum y value" }, y_max: { type: "number", description: "Maximum y value" }, grid_points: { type: "integer", description: "Grid points per axis", default: 20, minimum: 5 }, plot_type: { type: "string", description: "Type of field plot", enum: ["quiver", "stream"], default: "quiver" }, title: { type: "string", description: "Plot title" }, xlabel: { type: "string", description: "X-axis label", default: "x" }, ylabel: { type: "string", description: "Y-axis label", default: "y" }, dpi: { type: "integer", description: "Image DPI", default: 100, minimum: 50 }, width: { type: "number", description: "Figure width in inches", default: 8 }, height: { type: "number", description: "Figure height in inches", default: 6 } }, required: ["fx", "fy", "x_min", "x_max", "y_min", "y_max"] }; export const phasePortraitSchema = { type: "object", properties: { dx: { type: "string", description: "dx/dt expression for the dynamical system" }, dy: { type: "string", description: "dy/dt expression for the dynamical system" }, x_min: { type: "number", description: "Minimum x value" }, x_max: { type: "number", description: "Maximum x value" }, y_min: { type: "number", description: "Minimum y value" }, y_max: { type: "number", description: "Maximum y value" }, grid_points: { type: "integer", description: "Grid points per axis", default: 20, minimum: 5 }, title: { type: "string", description: "Plot title" }, xlabel: { type: "string", description: "X-axis label", default: "x" }, ylabel: { type: "string", description: "Y-axis label", default: "y" }, dpi: { type: "integer", description: "Image DPI", default: 100, minimum: 50 }, width: { type: "number", description: "Figure width in inches", default: 8 }, height: { type: "number", description: "Figure height in inches", default: 6 } }, required: ["dx", "dy", "x_min", "x_max", "y_min", "y_max"] }; export const surface3DSchema = { type: "object", properties: { f: { type: "string", description: "3D surface function z = f(x,y)" }, x_min: { type: "number", description: "Minimum x value" }, x_max: { type: "number", description: "Maximum x value" }, y_min: { type: "number", description: "Minimum y value" }, y_max: { type: "number", description: "Maximum y value" }, samples: { type: "integer", description: "Grid samples per axis", default: 50, minimum: 10, maximum: 100 }, title: { type: "string", description: "Plot title" }, xlabel: { type: "string", description: "X-axis label", default: "x" }, ylabel: { type: "string", description: "Y-axis label", default: "y" }, zlabel: { type: "string", description: "Z-axis label", default: "z" }, dpi: { type: "integer", description: "Image DPI", default: 100, minimum: 50 }, width: { type: "number", description: "Figure width in inches", default: 10 }, height: { type: "number", description: "Figure height in inches", default: 8 } }, required: ["f", "x_min", "x_max", "y_min", "y_max"] }; export const contour2DSchema = { type: "object", properties: { f: { type: "string", description: "Function f(x,y) for contour plot" }, x_min: { type: "number", description: "Minimum x value" }, x_max: { type: "number", description: "Maximum x value" }, y_min: { type: "number", description: "Minimum y value" }, y_max: { type: "number", description: "Maximum y value" }, levels: { type: "integer", description: "Number of contour levels", default: 15, minimum: 5 }, samples: { type: "integer", description: "Grid samples per axis", default: 100, minimum: 20 }, title: { type: "string", description: "Plot title" }, xlabel: { type: "string", description: "X-axis label", default: "x" }, ylabel: { type: "string", description: "Y-axis label", default: "y" }, dpi: { type: "integer", description: "Image DPI", default: 100, minimum: 50 }, width: { type: "number", description: "Figure width in inches", default: 8 }, height: { type: "number", description: "Figure height in inches", default: 6 } }, required: ["f", "x_min", "x_max", "y_min", "y_max"] }; export const volume3DSchema = { type: "object", properties: { f: { type: "string", description: "SymPy-like expression in x,y,z; numeric eval is vectorized" }, x: { type: "array", items: { type: "number" }, minItems: 2, maxItems: 3, description: "[min,max,steps?]" }, y: { type: "array", items: { type: "number" }, minItems: 2, maxItems: 3 }, z: { type: "array", items: { type: "number" }, minItems: 2, maxItems: 3 }, mode: { type: "string", enum: ["slices", "isosurface"], default: "slices" }, iso_level: { type: "number", description: "Used when mode='isosurface'" }, emit_animation: { type: "boolean", default: false }, animate_axis: { type: "string", enum: ["x", "y", "z"], default: "z" }, fps: { type: "integer", default: 24 }, format: { type: "string", enum: ["mp4", "webm", "gif"], default: "mp4" }, samples_cap: { type: "integer", default: 160 }, allow_large: { type: "boolean", default: false } }, required: ["f", "x", "y", "z"] }; export const animationSchema = { type: "object", properties: { frame_expr: { type: "string", description: "Expression producing frame array or 2D function value at (x,t)" }, x_range: { type: "array", items: { type: "number" }, minItems: 2, maxItems: 3 }, t_range: { type: "array", items: { type: "number" }, minItems: 2, maxItems: 3 }, renderer: { type: "string", enum: ["imshow", "contour", "line"], default: "imshow" }, fps: { type: "integer", default: 24 }, format: { type: "string", enum: ["mp4", "webm", "gif"], default: "mp4" }, dpi: { type: "integer", default: 120 }, emit_frames: { type: "boolean", default: false }, emit_csv: { type: "boolean", default: false }, frames_cap: { type: "integer", default: 300 }, allow_large: { type: "boolean", default: false } }, required: ["frame_expr", "t_range"] }; export const interactiveSchema = { type: "object", properties: { expr: { type: "string" }, x_range: { type: "array", items: { type: "number" }, minItems: 2, maxItems: 3 }, controls: { type: "array", items: { type: "object", properties: { name: { type: "string" }, min: { type: "number" }, max: { type: "number" }, step: { type: "number" }, default: { type: "number" } }, required: ["name", "min", "max", "step", "default"] } }, renderer: { type: "string", enum: ["line", "contour", "surface"], default: "line" }, grid_limit: { type: "integer", default: 24 } // produce at most N precomputed thumbnails }, required: ["expr", "controls"] }; export const vrExportSchema = { type: "object", properties: { geometry: { type: "object", properties: { vertices: { type: "array", items: { type: "array", items: { type: "number" }, minItems: 3, maxItems: 3 } }, faces: { type: "array", items: { type: "array", items: { type: "integer", minimum: 0 } } }, normals: { type: "array", items: { type: "array", items: { type: "number" } }, nullable: true }, colors: { type: "array", items: { type: "array", items: { type: "number" } }, nullable: true } }, required: ["vertices", "faces"] }, format: { type: "string", enum: ["glb", "ply"], default: "glb" }, extras: { type: "object" } }, required: ["geometry"] };