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task_geometry__function_graph__extremum_count_turning_point_count

Contract

  1. Domain: geometry
  2. Scene id: function_graph
  3. Query ids: single
  4. Answer schema: integer_count
  5. Annotation schema: point_set

Program Contract

  • count(filter(function_graph_feature_points, feature_type=turning_point)); scene=function_graph; scope=extremum_count_turning_point_count

Reasoning Operations

Families: filtering, counting, ranking

Prompt Bundle

  • Prompt text is loaded from the scene prompt bundle configured for function_graph.
  • Prompt modes: answer_only and answer_and_annotation.

Annotation

Prompt-facing annotation is a pixel-space point_set containing every visible turning point. Graph coordinates, formulas, labels, and construction metadata remain private verifier metadata unless they are themselves visual witnesses.

Determinism

Generation is deterministic for a fixed seed, params, config, and prompt bundle version.

Source

  • Config: src/trace_tasks/resources/configs/domains/geometry/function_graph.yaml
  • Task module: src/trace_tasks/tasks/geometry/function_graph/extremum_count_turning_point_count.py