`task_physics__gear_train__output_direction_label`¶

Summary¶

Domain: physics
Scene id: gear_train
Implementation scene: gear_train
Implementation source: src/trace_tasks/tasks/physics/gear_train/output_direction_label.py

Task Contract¶

Selects the one labeled gear-train panel whose marked output gear rotates in the requested direction.

Program Contract¶

Program: option_letter(unique_panel_where(propagate_adjacent_mesh_reversals(input_direction, gear_count) == target_direction)); scene=gear_train; scope=output_direction_label

Candidate set: the visible gears, tooth-count labels, input/output markers, and candidate gear-train panels inside the output_direction_label objective scope. Operands: panel_gear_trains (visual_candidate_set, allowed four_labeled_panels_A_D_each_with_input_rotation_arrow_and_marked_output_gear, source program_schema_concrete); target_direction (query_operand, allowed clockwise_or_counterclockwise, source program_schema_concrete). Operation: evaluate option_letter over the candidate set using the visible quantities, relations, branch semantics, and formulas encoded in the program expression; generation enforces a unique final answer. Output binding: answer uses the option_letter schema; The answer value is the one panel letter, A, B, C, or D, whose marked output gear rotates in the requested direction. Annotation witnesses: bbox witnesses from the finalized render. Annotation marks the selected labeled gear-train panel. Scalar annotation checked: true; exactly one option panel is selected by construction. Query ids: single.

Reasoning Operations¶

Families: filtering, counting, topology, formula_evaluation

Query Branches¶

Query id	Program schema
`single`	`option_letter(unique_panel_where(direction(propagate_adjacent_mesh_reversals(input_gear_rotation, gear_count), target=marked_output_gear) == target_direction)); scene=gear_train; scope=output_direction_label`

Program Metadata¶

Program signatures: physics.gear_train_output_direction_choice
Base program contract: option_letter(unique_panel_where(propagate_adjacent_mesh_reversals(input_direction, gear_count) == target_direction)); scene=gear_train; scope=output_direction_label
Parameter axes: target_direction, correct_option_letter, scene_variant, gear_count, input_direction, gear_radii, gear_layout
Arguments:
panel_gear_trains: visual_candidate_set; allowed four_labeled_panels_A_D_each_with_input_rotation_arrow_and_marked_output_gear; source program_schema_concrete
target_direction: query_operand; allowed clockwise_or_counterclockwise; source program_schema_concrete
Argument metadata status: curated
Supported query ids: single

Answer Contract¶

Answer schema: option_letter
Generator answer_gt.type: option_letter
The answer value is the one panel letter, A, B, C, or D, whose marked output gear rotates in the requested direction.

Annotation Contract¶

Annotation schema: bbox
Generator annotation_gt.type: bbox
Annotation marks the selected labeled gear-train panel.
Scalar annotation checked: true; exactly one option panel is selected by construction.
Annotation must not mark a solved output arrow, decorative panel/background elements, or prompt text.
Annotation and answer must be projected from the same generated execution trace, not inferred from pixels or prompt text.

Prompt And Trace Requirements¶

Prompt text must come from the physics gear-train v1 prompt bundle, with scene and task/query layers selected deterministically and recorded in metadata.
Render randomness, sampled fonts/styles, target direction, correct option letter, panel gear counts, gear radii, input directions, layout variants, colors, and verifier payloads must be explicit in the instance trace.
Diagrams must keep adjacent gear contacts visually unambiguous and must not draw solved output-direction arrows.

task_physics__gear_train__output_direction_label¶