task_physics__manometer__pressure_difference_value

Summary

• Domain: physics
• Scene id: manometer
• Implementation scene: manometer
• Implementation source: src/trace_tasks/tasks/physics/manometer/pressure_difference_value.py

Program Contract

Program: integer(abs(height_cm * kpa_per_cm)); scene=manometer; scope=pressure_difference_value

Candidate set: the visible manometer columns, height difference marker, density label, and pressure side labels inside the pressure_difference_value objective scope. Operands: point_a (semantic_role, allowed visible_left_pressure_point_label, source program_schema_concrete); point_b (semantic_role, allowed visible_right_pressure_point_label, source program_schema_concrete); height_difference (query_operand, allowed integer_centimeter_liquid_level_difference, source program_schema_concrete); rho_g_conversion (query_operand, allowed integer_kpa_per_cm_conversion_label, source program_schema_concrete). Operation: evaluate integer 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 integer schema; The answer value is the absolute pressure difference in kPa. Annotation witnesses: bbox_map witnesses from the finalized render. Annotation keys: height_difference, fluid_density_label Annotation must mark the visible height-difference marker and the visible conversion label needed to compute the pressure difference. It must not mark the A/B pressure point labels, decorative glass, background grid lines, or derived answer text. Query ids: single.

Reasoning Operations

Families: formula_evaluation

Query Branches

Query id	Program schema
single	integer(abs_pressure_difference(point_a, point_b, height_difference, rho_g_conversion)); scene=manometer; scope=pressure_difference_value

Program Metadata

• Program signatures: physics.manometer_pressure_difference
• Base program contract: integer(abs(height_cm * kpa_per_cm)); scene=manometer; scope=pressure_difference_value
• Parameter axes: height_cm, kpa_per_cm, higher_pressure_side
• Arguments:
• point_a: semantic_role; allowed visible_left_pressure_point_label; source program_schema_concrete
• point_b: semantic_role; allowed visible_right_pressure_point_label; source program_schema_concrete
• height_difference: query_operand; allowed integer_centimeter_liquid_level_difference; source program_schema_concrete
• rho_g_conversion: query_operand; allowed integer_kpa_per_cm_conversion_label; source program_schema_concrete
• Argument metadata status: curated
• Supported query ids: single

Answer Contract

• Answer schema: integer
• Generator answer_gt.type: integer
• The answer value is the absolute pressure difference in kPa.

Annotation Contract

• Annotation schema: bbox_map
• Generator annotation_gt.type: bbox_map
• Annotation keys: height_difference, fluid_density_label
• Annotation must mark the visible height-difference marker and the visible conversion label needed to compute the pressure difference. It must not mark the A/B pressure point labels, decorative glass, background grid lines, or derived answer 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 manometer prompt bundle, with scene and task/query layers selected deterministically and recorded in metadata.
• Render randomness, sampled fonts/styles, height difference, conversion factor, side orientation, fluid color, and verifier payloads must be explicit in the instance trace.
• Diagrams must keep the height marker and conversion label readable and avoid multi-fluid stacks in the current task contract.