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A题/数值分析检验/Prompt/补丁1提示词.md

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+TASK: Perform a *surgical*, additive refinement of an existing academic paper on battery simulation to close three specific gaps:
+(1) Missing GPS power
+(2) Missing uncertainty quantification (Monte Carlo)
+(3) Static aging TTE that fails to reflect dynamic degradation
+
+CRITICAL REQUIREMENT (NON-NEGOTIABLE): PRESERVE EXISTING CONTENT INTEGRITY
+- You MUST NOT do broad edits, major rewrites, rephrasings, or restructuring of any previously generated sections.
+- You MUST NOT renumber existing sections or reorder headings.
+- You MUST NOT change the existing narrative flow; only add narrowly targeted content and minimal equation patches.
+- You MUST output only (a) minimal patches and (b) insert-ready new text blocks.
+- If you cannot anchor an insertion to an exact existing heading string from the provided paper, output ERROR with the missing heading(s) and STOP.
+
+INPUT DATA (use only the uploaded files):
+1) The official MCM Problem A PDF (for requirements language: GPS, uncertainty, aging).
+2) The current paper markdown (contains the existing model and structure).
+3) The flowchart markdown (contains intended technical pipeline elements, e.g., UQ).
+
+MODEL CONTEXT YOU MUST RESPECT (do NOT rewrite these; only refer to them):
+- Existing input vector u(t) = [L(t), C(t), N(t), Ψ(t), T_a(t)] and state x(t) = [z, v_p, T_b, S, w].
+- Existing power mapping: P_tot = P_bg + P_scr(L) + P_cpu(C) + P_net(N,Ψ,w).
+- Existing CPL closure and event-based TTE logic.
+- Existing SOH concept S(t) and its coupling to R0 and Q_eff (if present).
+- Existing section numbering and headings.
+
+YOUR OBJECTIVES:
+A) CLASSIFY each gap by whether it requires changes to the base Model Construction:
+   - “Base Model Construction” includes: core equations, constitutive relations, or simulation logic required to run the model.
+B) For gaps NOT requiring base model changes, generate insert-ready academic text immediately (no rewrites).
+C) For gaps requiring base model changes, produce:
+   - A minimal patch (equations/logic) expressed as a precise replace/insert instruction.
+   - A small, insert-ready text addendum describing the change (ONLY the new material; do not rewrite existing paragraphs).
+
+METHODOLOGY (must be followed in order, no deviations):
+
+STEP 1 — Locate anchors in the existing paper
+1. Read the current paper markdown.
+2. Extract the exact heading strings (verbatim) for:
+   - The power mapping section (where P_tot is defined).
+   - The numerical solution / simulation section (where MC/UQ would be placed).
+   - The aging/SOH discussion section (or closest related section).
+3. Store these verbatim headings as ANCHORS. You will reference them in patch instructions.
+
+STEP 2 — Gap classification (deterministic)
+For each gap in {GPS, UQ, Aging-TTE} output:
+- requires_equation_change: true/false
+- requires_simulation_logic_change: true/false
+- text_only_addition: true/false
+Rules:
+- If adding a new term inside P_tot changes an equation, requires_equation_change=true.
+- If adding an outer-loop procedure for multi-cycle degradation is needed, requires_simulation_logic_change=true.
+- If content is purely reporting/analysis based on existing outputs (e.g., Monte Carlo over parameters/inputs using the same ODEs), then text_only_addition=true and both “requires_*” flags must be false.
+
+STEP 3 — Minimal patch design (ONLY if required)
+You must keep changes minimal and local:
+3.1 GPS Power gap:
+- Add exactly ONE GPS term into the existing P_tot equation.
+- Preferred minimal strategy: do NOT change the declared input vector; define a derived duty variable G(t) inside the new GPS subsection:
+  G(t) ∈ [0,1] derived from existing usage signals (e.g., navigation segment proxy) without redefining u(t).
+- Define:
+  P_gps(G) = P_gps,0 + k_gps * G(t)
+  and update:
+  P_tot ← P_tot + P_gps(G)
+- Do not edit any other power terms.
+3.2 Dynamic aging TTE gap:
+- Do NOT rewrite the base ODEs unless absolutely necessary.
+- Add an outer-loop “multi-cycle / multi-day” procedure that updates S(t) (or the aging proxy) across cycles and recomputes TTE each cycle:
+  Example logic: for cycle j, run discharge simulation → accumulate throughput/aging integral → update S_{j+1} → update R0 and Q_eff via existing formulas → recompute TTE_{j+1}.
+- Keep the inner single-discharge model unchanged; only add the outer-loop logic and clearly state time-scale separation.
+
+STEP 4 — Insert-ready academic text blocks (additive only)
+Generate concise academic prose that matches the paper’s existing style (math-forward, mechanistic rationale).
+Rules:
+- Each text block MUST be insertable without editing other sections.
+- Each text block MUST define any new symbol it uses (e.g., G(t), P_gps,0, k_gps).
+- Each text block MUST explicitly reference existing variables (L,C,N,Ψ,T_a,z,v_p,T_b,S,w,P_tot) without renaming.
+- Citations: use placeholder citations like [REF-GPS-POWER], [REF-MONTE-CARLO], [REF-LIION-AGING] (do not browse the web).
+
+You must produce 3 blocks:
+BLOCK A (GPS): a new subsection placed immediately after the existing network power subsection (anchor it precisely).
+BLOCK B (UQ): a new subsection placed in the numerical methods/results pipeline area describing Monte Carlo uncertainty quantification:
+  - Define what is random (choose ONE: stochastic parameter draws OR stochastic usage paths OR both).
+  - Specify sample size M (fixed integer), fixed seed, and outputs: mean TTE, quantiles, survival curve P(TTE>t).
+  - Emphasize: model equations unchanged; uncertainty comes from inputs/parameters.
+BLOCK C (Dynamic aging TTE): a new subsection explaining aging-aware TTE as a function of cycle index/time:
+  - Define TTE_j sequence across cycles.
+  - Define which parameters drift with S (e.g., Q_eff decreases, R0 increases).
+  - Provide a short algorithm listing (numbered) but no code.
+
+STEP 5 — Output packaging in strict schemas (no extra commentary)
+
+DELIVERABLES (must be EXACTLY in this order):
+
+1) GAP_CLASSIFICATION_v1 (JSON only)
+Schema:
+{
+  "GPS_power": {
+    "requires_equation_change": <bool>,
+    "requires_simulation_logic_change": <bool>,
+    "text_only_addition": <bool>,
+    "one_sentence_rationale": "<...>"
+  },
+  "UQ_monte_carlo": { ...same keys... },
+  "Aging_dynamic_TTE": { ...same keys... }
+}
+
+2) PATCH_SET_v1 (YAML only)
+- Provide a list of patches. Each patch must be one of:
+  - INSERT_AFTER_HEADING
+  - REPLACE_EQUATION_LINE
+Each patch item schema:
+- patch_id: "P10-..."
+- patch_type: "INSERT_AFTER_HEADING" or "REPLACE_EQUATION_LINE"
+- anchor_heading_verbatim: "<exact heading text from the paper>"
+- target_snippet_verbatim: "<exact single line to replace>"   (only for REPLACE_EQUATION_LINE)
+- replacement_snippet: "<new single line>"                    (only for REPLACE_EQUATION_LINE)
+- insertion_block_id: "BLOCK_A" / "BLOCK_B" / "BLOCK_C"        (only for INSERT_AFTER_HEADING)
+
+3) INSERT_TEXT_BLOCKS_v1 (Markdown only)
+Provide exactly three blocks, each wrapped exactly as:
+-----BEGIN BLOCK_A-----
+<markdown text to insert>
+-----END BLOCK_A-----
+(and similarly BLOCK_B, BLOCK_C)
+
+4) MODIFICATION_AUDIT_v1 (JSON only)
+Schema:
+{
+  "edited_existing_text": false,
+  "changed_headings_or_numbering": false,
+  "patch_ids_emitted": ["..."],
+  "notes": "Only additive blocks + minimal equation line replace (if any)."
+}
+
+VALIDATION (hard fail rules):
+- If you modify any existing paragraph (beyond the exact single-line equation replacement explicitly listed), output FAIL.
+- If you renumber headings or propose reorganization, output FAIL.
+- If any new symbol is introduced without definition inside its block, output FAIL.
+- If any anchor_heading_verbatim does not exactly match a heading in the paper, output ERROR and STOP.
+
+OUTPUT FORMAT:
+Return exactly the 4 deliverables above (JSON, YAML, Markdown, JSON) and nothing else.