From a3a88c9830a5eca9316b5ae6cf72ead31c358ed4 Mon Sep 17 00:00:00 2001
From: ws50529 <ws50529@yahoo.com.tw>
Date: Thu, 14 May 2026 13:59:45 +0800
Subject: [PATCH] refactor: clean up dependencies and modernize build assets
 for improved stability

---
 dea/bode.py           |   53 +-
 dea/schemas.py        |    4 +
 dea_api.py            |   14 +-
 src/App.vue           |    6 +-
 src/app-options.js    | 2224 ++++++++++++++++++++---------------------
 src/style.css         |  351 +++++--
 static/build/app.css  |    2 +-
 static/build/app.js   |    4 +-
 tests/test_dea_api.py |   24 +-
 9 files changed, 1476 insertions(+), 1206 deletions(-)
 mode change 100644 => 100755 src/app-options.js

diff --git a/dea/bode.py b/dea/bode.py
index e888b25..dea37c1 100755
--- a/dea/bode.py
+++ b/dea/bode.py
@@ -1,26 +1,49 @@
 import numpy as np
+from fastapi import HTTPException
 from scipy import signal
 
 from .config import BODE_MAX_MULTIPLIER, BODE_POINTS
-from .schemas import BodeParams
+from .schemas import BodeCompareParams, BodeParams
 from .validation import require_finite, validate_coefficients
 
 
-def calculate_bode_response(params: BodeParams):
-    fs_val = require_finite(params.fs, "fs")
-    b_vals = validate_coefficients(params.b, "b")
-    a_vals = validate_coefficients(params.a, "a")
-    f_min = params.fs / 50000.0
-    f_max = params.fs * BODE_MAX_MULTIPLIER
-    f_eval = np.logspace(np.log10(f_min), np.log10(f_max), BODE_POINTS)
-
+def _bode_series(b_values, a_values, f_eval, fs_val):
+    b_vals = validate_coefficients(b_values, "b")
+    a_vals = validate_coefficients(a_values, "a")
     _, h = signal.freqz(b_vals, a_vals, worN=f_eval, fs=fs_val)
-    mag = 20 * np.log10(np.abs(h) + 1e-12)
-    phase = np.angle(h, deg=True)
-
     return {
-        "freq": f_eval.tolist(),
-        "mag": mag.tolist(),
-        "phase": phase.tolist(),
+        "mag": (20 * np.log10(np.abs(h) + 1e-12)).tolist(),
+        "phase": np.angle(h, deg=True).tolist(),
     }
 
+
+def _frequency_axis(fs):
+    fs_val = require_finite(fs, "fs")
+    f_min = fs_val / 50000.0
+    f_max = fs_val * BODE_MAX_MULTIPLIER
+    return fs_val, np.logspace(np.log10(f_min), np.log10(f_max), BODE_POINTS)
+
+
+def calculate_bode_response(params: BodeParams):
+    fs_val, f_eval = _frequency_axis(params.fs)
+    series = _bode_series(params.b, params.a, f_eval, fs_val)
+    return {
+        "freq": f_eval.tolist(),
+        "mag": series["mag"],
+        "phase": series["phase"],
+    }
+
+
+def calculate_bode_compare_response(params: BodeCompareParams):
+    fs_val, f_eval = _frequency_axis(params.ideal.fs)
+    fixed_fs_val = require_finite(params.fixed.fs, "fixed.fs")
+    if not np.isclose(fixed_fs_val, fs_val):
+        raise HTTPException(status_code=400, detail="ideal 與 fixed 的 fs 必須相同")
+
+    ideal = _bode_series(params.ideal.b, params.ideal.a, f_eval, fs_val)
+    fixed = _bode_series(params.fixed.b, params.fixed.a, f_eval, fs_val)
+    return {
+        "freq": f_eval.tolist(),
+        "ideal": ideal,
+        "fixed": fixed,
+    }
diff --git a/dea/schemas.py b/dea/schemas.py
index 5977015..61e2ba2 100755
--- a/dea/schemas.py
+++ b/dea/schemas.py
@@ -38,3 +38,7 @@ class BodeParams(BaseModel):
     a: List[float] = Field(min_length=1, max_length=MAX_COEFFICIENTS)
     fs: float = Field(gt=0)
 
+
+class BodeCompareParams(BaseModel):
+    ideal: BodeParams
+    fixed: BodeParams
diff --git a/dea_api.py b/dea_api.py
index 560f733..0d5fabd 100755
--- a/dea_api.py
+++ b/dea_api.py
@@ -2,7 +2,7 @@ from fastapi import FastAPI, File, Form, HTTPException, Request, UploadFile
 from fastapi.responses import RedirectResponse, StreamingResponse
 from fastapi.staticfiles import StaticFiles
 
-from dea.bode import calculate_bode_response
+from dea.bode import calculate_bode_compare_response, calculate_bode_response
 from dea.config import (
     BODE_MAX_MULTIPLIER,
     BODE_POINTS,
@@ -19,7 +19,7 @@ from dea.csv_processing import (
     read_csv_upload,
 )
 from dea.filter_design import design_response
-from dea.schemas import BodeParams, DesignParams
+from dea.schemas import BodeCompareParams, BodeParams, DesignParams
 from dea.security import (
     SECURITY_HEADERS,
     add_security_headers,
@@ -75,6 +75,16 @@ def calculate_bode(params: BodeParams):
         raise HTTPException(status_code=400, detail=str(e))
 
 
+@app.post("/api/bode/compare")
+def calculate_bode_compare(params: BodeCompareParams):
+    try:
+        return calculate_bode_compare_response(params)
+    except HTTPException:
+        raise
+    except Exception as e:
+        raise HTTPException(status_code=400, detail=str(e))
+
+
 @app.post("/api/filter")
 async def filter_csv(
     file: UploadFile = File(...),
diff --git a/src/App.vue b/src/App.vue
index fd84c8e..c56c167 100644
--- a/src/App.vue
+++ b/src/App.vue
@@ -73,7 +73,7 @@
                             濾波器設計
                         </div>
                         <button @click="resetFilterParams"
-                            class="text-[10px] font-bold role-bg-warning-soft role-text-warning role-hover-warning-soft px-2 py-1 rounded transition-colors uppercase">重設設計</button>
+                            class="text-[10px] font-bold role-bg-secondary-soft role-border-secondary-soft role-text-secondary role-hover-secondary-soft border px-2 py-1 rounded transition-colors uppercase">重設設計</button>
                     </h2>
                     <select v-model="filterType" @change="onFilterTypeChange"
                         class="w-full bg-slate-50 dark:bg-gray-800 border border-slate-200 dark:border-gray-700 rounded-lg p-3 text-base role-focus-primary focus:ring-1 role-focus-ring-primary outline-none transition-all mb-3 text-slate-900 dark:text-gray-100 truncate">
@@ -267,7 +267,7 @@
                             濾波器係數設定</span>
                         <div class="flex items-center gap-2">
                             <button v-if="isManualDirty" @click="clearManualAdjustments"
-                                class="text-[10px] font-bold bg-slate-200 dark:bg-gray-800 hover:bg-slate-300 dark:hover:bg-gray-700 px-2 py-1 rounded text-slate-500 transition-colors uppercase mr-1">重設</button>
+                                class="text-[10px] font-bold role-bg-secondary-soft role-border-secondary-soft role-text-secondary role-hover-secondary-soft border px-2 py-1 rounded transition-colors uppercase mr-1">重設</button>
                         </div>
                     </h2>
                     <div class="mb-3">
@@ -475,7 +475,7 @@
                         </div>
                         <div class="flex items-center gap-2">
                             <button v-if="isFixedPointDirty" @click="resetFixedPointSettings"
-                                class="text-[10px] font-bold bg-slate-200 dark:bg-gray-800 hover:bg-slate-300 dark:hover:bg-gray-700 px-2 py-1 rounded text-slate-500 transition-colors uppercase mr-1">重設</button>
+                                class="text-[10px] font-bold role-bg-secondary-soft role-border-secondary-soft role-text-secondary role-hover-secondary-soft border px-2 py-1 rounded transition-colors uppercase mr-1">重設</button>
                         </div>
                     </h2>
 
diff --git a/src/app-options.js b/src/app-options.js
old mode 100644
new mode 100755
index d2ffa3f..f74dc62
--- a/src/app-options.js
+++ b/src/app-options.js
@@ -1,1119 +1,1107 @@
-const DEFAULT_FILTER_TYPE = "Lowpass (低通)";
-const MANUAL_FILTER_TYPE = "(無) 手動自訂";
-const DEFAULT_FS = 100000.0;
-const DEFAULT_B_STR = "0.5, 0.5, 0.0, 0.0";
-const DEFAULT_A_STR = "1.0, 0.0, 0.0, 0.0";
-const DEFAULT_SHIFT_BITS = 14;
-const ZERO_7 = [0, 0, 0, 0, 0, 0, 0];
-const DEFAULT_PARAMS = {
-    fc: 1000.0, order: 1,
-    bp_f_low: 500.0, bp_f_high: 2000.0, bp_order: 1,
-    notch_f0: 120.0, notch_q: 1.0,
-    opoz_fz: 15000.0, opoz_fp: 10.0,
-    tp1z_fz: 200.0, tp1z_fp1: 10.0, tp1z_fp2: 5000.0,
-    tptz_fz1: 200.0, tptz_fz2: 25000.0, tptz_fp1: 10.0, tptz_fp2: 5000.0,
-    kp: 0.003, ki: 10.0, kd: 0.000016,
-    sogi_f0: 60.0, sogi_k: 1.414,
-};
+const DEFAULT_FILTER_TYPE = "Lowpass (低通)";
+const MANUAL_FILTER_TYPE = "(無) 手動自訂";
+const DEFAULT_FS = 100000.0;
+const DEFAULT_B_STR = "0.5, 0.5, 0.0, 0.0";
+const DEFAULT_A_STR = "1.0, 0.0, 0.0, 0.0";
+const DEFAULT_SHIFT_BITS = 14;
+const ZERO_7 = [0, 0, 0, 0, 0, 0, 0];
+const DEFAULT_PARAMS = {
+    fc: 1000.0, order: 1,
+    bp_f_low: 500.0, bp_f_high: 2000.0, bp_order: 1,
+    notch_f0: 120.0, notch_q: 1.0,
+    opoz_fz: 15000.0, opoz_fp: 10.0,
+    tp1z_fz: 200.0, tp1z_fp1: 10.0, tp1z_fp2: 5000.0,
+    tptz_fz1: 200.0, tptz_fz2: 25000.0, tptz_fp1: 10.0, tptz_fp2: 5000.0,
+    kp: 0.003, ki: 10.0, kd: 0.000016,
+    sogi_f0: 60.0, sogi_k: 1.414,
+};
+
+const cloneDefaultParams = () => ({ ...DEFAULT_PARAMS });
+const zero7 = () => [...ZERO_7];
+
+export default {
+    data() {
+        return {
+            fs: DEFAULT_FS,
+            b_str: DEFAULT_B_STR,
+            a_str: DEFAULT_A_STR,
+            filterType: DEFAULT_FILTER_TYPE,
+            filterOptions: [
+                "Lowpass (低通)", "Highpass (高通)", "Bandpass (帶通)",
+                "Notch (陷波器)", "1P1Z (一極一零)", "2P1Z (二極一零)", "2P2Z (二極二零)",
+                "PID 控制器", "SOGI-Alpha (帶通)", "SOGI-Beta (低通)", "(無) 手動自訂"
+            ],
+            systemGain: 1.0,
+            params: cloneDefaultParams(),
+            // 模式切換
+            isDarkMode: true,
+            // 係數倍率微調
+            baseB: [0.5, 0.5, 0, 0, 0, 0, 0],
+            baseA: [1, 0, 0, 0, 0, 0, 0],
+            bSliders: zero7(),
+            aSliders: zero7(),  // a1~a6 (index 0 unused for display but maps to a[1]~a[6])
+            sense_b: '2x', sense_a: '2x',
+
+            loadingBode: false, bodeTimeout: null, globalError: null,
+            csvFile: null, csvColumns: [], csvPreview: [], csvInfo: null, csvParseError: null,
+            selectedColumn: 0, loadingFilter: false, filterDone: false, timePlotData: null,
+            mobileTab: 'settings',  // 手機版頁籤：'settings' | 'chart'
+            shiftBitsB: DEFAULT_SHIFT_BITS,
+            shiftBitsA: DEFAULT_SHIFT_BITS,
+            fixedOverrides: { a: {}, b: {} },
+            outOfRangeB: [false, false, false, false, false, false, false],
+            outOfRangeA: [false, false, false, false, false, false, false],
+            aFineStep: 0.01,
+            aFineRepeatDelayTimer: null,
+            aFineRepeatTimer: null,
+            aFineDrag: null,
+            shiftBitRepeatDelayTimer: null,
+            shiftBitRepeatTimer: null,
+            shiftBitDrag: null,
+            fixedAFineStep: 1,
+            fixedAFineDrag: null,
+            fixedAFineRepeatDelayTimer: null,
+            fixedAFineRepeatTimer: null,
+            isTouchInput: false,
+            activeCoeffAdjustment: null,
+        }
+    },
+
+    computed: {
+        maxLogB() {
+            if (this.sense_b === '1%') return Math.log10(1.01);
+            if (this.sense_b === '2x') return Math.log10(2.0);
+            return 1.0;
+        },
+        maxLogA() {
+            if (this.sense_a === '1%') return Math.log10(1.01);
+            if (this.sense_a === '2x') return Math.log10(2.0);
+            if (this.sense_a === '10x') return Math.log10(10.0);
+            return Math.log10(2.0);
+        },
+        b_int_str: {
+            get() {
+                return this.fixedPointCoeffs.b.map(item => item.val).join(', ');
+            },
+            set(val) {
+                const cleaned = val.replace(/[^0-9,\-\s]/g, '');
+                const nums = this.parseCoeffs(cleaned);
+                nums.forEach((n, i) => {
+                    this.fixedOverrides.b[i] = Math.round(n);
+                });
+                this.debouncedUpdateBode();
+            }
+        },
+        a_int_str: {
+            get() {
+                return this.fixedPointCoeffs.a.map(item => item.val).join(', ');
+            },
+            set(val) {
+                const cleaned = val.replace(/[^0-9,\-\s]/g, '');
+                const nums = this.parseCoeffs(cleaned);
+                nums.forEach((n, i) => {
+                    this.fixedOverrides.a[i] = Math.round(n);
+                });
+                this.debouncedUpdateBode();
+            }
+        },
+        fixedPointCoeffs() {
+            const scaleB = Math.pow(2, this.shiftBitsB);
+            const scaleA = Math.pow(2, this.shiftBitsA);
+            const b_raw = this.parseCoeffs(this.b_str);
+            const a_raw = this.parseCoeffs(this.a_str);
+
+            const b = b_raw.map((x, i) => {
+                const autoVal = Math.round(x * scaleB);
+                const val = (this.fixedOverrides.b[i] !== undefined) ? this.fixedOverrides.b[i] : autoVal;
+                return { label: `b${i}`, val, isOverridden: this.fixedOverrides.b[i] !== undefined };
+            });
+            const a = a_raw.map((x, i) => {
+                const autoVal = Math.round(x * scaleA);
+                const val = (this.fixedOverrides.a[i] !== undefined) ? this.fixedOverrides.a[i] : autoVal;
+                return { label: `a${i}`, val, isOverridden: this.fixedOverrides.a[i] !== undefined };
+            });
+
+            return { b, a };
+        },
+        floatingCoeffs() {
+            const b = this.parseCoeffs(this.b_str).map((x, i) => ({ label: `b${i}`, val: parseFloat(x.toPrecision(6)) }));
+            const a = this.parseCoeffs(this.a_str).map((x, i) => ({ label: `a${i}`, val: parseFloat(x.toPrecision(6)) }));
+            return { b, a };
+        },
+        isManualDirty() {
+            if (this.bSliders.some(v => v !== 0) || this.aSliders.some(v => v !== 0)) return true;
+            const currentB = this.padTo7(this.parseCoeffs(this.b_str));
+            const currentA = this.padTo7(this.parseCoeffs(this.a_str));
+            const targetB = this.baseB.map(x => x * (this.systemGain || 1.0));
+            const targetA = this.baseA;
+
+            for (let i = 0; i < 7; i++) {
+                const bVal = currentB[i] || 0;
+                const bTarget = targetB[i] || 0;
+                // 使用相對誤差，避免數值較大時 (如 K > 10000) 產生的精確度誤判
+                const epsB = Math.max(1e-8, Math.abs(bTarget) * 1e-10);
+                if (Math.abs(bVal - bTarget) > epsB) return true;
+
+                const aVal = currentA[i] || 0;
+                const aTarget = targetA[i] || 0;
+                const epsA = Math.max(1e-8, Math.abs(aTarget) * 1e-10);
+                if (Math.abs(aVal - aTarget) > epsA) return true;
+            }
+            return false;
+        },
+        isFixedPointDirty() {
+            return this.shiftBitsB !== DEFAULT_SHIFT_BITS
+                || this.shiftBitsA !== DEFAULT_SHIFT_BITS
+                || Object.keys(this.fixedOverrides.b).length > 0
+                || Object.keys(this.fixedOverrides.a).length > 0;
+        },
+        currentA1() {
+            const a = this.parseCoeffs(this.a_str);
+            return a[1] || 0;
+        },
+        currentA2() {
+            const a = this.parseCoeffs(this.a_str);
+            return a[2] || 0;
+        },
+        currentDelta() {
+            return (this.currentA1 + this.currentA2 + 1) / 2;
+        },
+        currentR() {
+            return (this.currentA2 - this.currentA1 - 1) / 2;
+        },
+        currentA1A2Diff() {
+            return this.currentA1 - this.currentA2;
+        },
+        currentA1A2Sum() {
+            return this.currentA1 + this.currentA2;
+        },
+        fixedA0Int() {
+            return Math.pow(2, this.shiftBitsA);
+        },
+        fixedCurrentA1() {
+            return this.fixedPointCoeffs.a[1]?.val || 0;
+        },
+        fixedCurrentA2() {
+            return this.fixedPointCoeffs.a[2]?.val || 0;
+        },
+        fixedCurrentDelta() {
+            return (this.fixedCurrentA1 + this.fixedCurrentA2 + this.fixedA0Int) / 2;
+        },
+        fixedCurrentR() {
+            return (this.fixedCurrentA2 - this.fixedCurrentA1 - this.fixedA0Int) / 2;
+        },
+        fixedCurrentA1A2Diff() {
+            return this.fixedCurrentA1 - this.fixedCurrentA2;
+        },
+        fixedCurrentA1A2Sum() {
+            return this.fixedCurrentA1 + this.fixedCurrentA2;
+        }
+    },
+    mounted() {
+        this.isTouchInput = window.matchMedia?.('(pointer: coarse)').matches || false;
+        window.addEventListener('pointerdown', this.rememberPointerType);
+
+        const savedTheme = localStorage.getItem('theme');
+        this.isDarkMode = savedTheme ? savedTheme === 'dark' : true;
+        if (this.isDarkMode) {
+            document.documentElement.classList.add('dark');
+        } else {
+            document.documentElement.classList.remove('dark');
+        }
+        this.applyFilterDesign();
+    },
+    beforeUnmount() {
+        window.removeEventListener('pointerdown', this.rememberPointerType);
+        this.stopA1A2Repeat();
+        this.stopAFineDrag();
+        this.stopShiftBitRepeat();
+        this.stopShiftBitDrag();
+        this.stopFixedA1A2Repeat();
+        this.stopFixedAFineDrag();
+    },
+    methods: {
+        rememberPointerType(event) {
+            if (event.pointerType === 'touch') {
+                this.isTouchInput = true;
+            } else if (event.pointerType === 'mouse' || event.pointerType === 'pen') {
+                this.isTouchInput = false;
+            }
+        },
+        toggleDarkMode() {
+            this.isDarkMode = !this.isDarkMode;
+            localStorage.setItem('theme', this.isDarkMode ? 'dark' : 'light');
+            if (this.isDarkMode) {
+                document.documentElement.classList.add('dark');
+            } else {
+                document.documentElement.classList.remove('dark');
+            }
+            this.updateBodePlot({ switchToChart: false });
+            if (this.timePlotData) {
+                this.drawTimePlot(this.timePlotData);
+            }
+        },
+        formatK(val) {
+            if (val >= 1000000) return `(~${(val / 1000000).toFixed(1).replace('.0', '')}M)`;
+            if (val >= 1000) return `(~${(val / 1000).toFixed(1).replace('.0', '')}k)`;
+            return "";
+        },
+        parseCoeffs(str) {
+            if (!str) return [];
+            // 支援逗號、空格、換行等分隔符號
+            return str.split(/[,\s]+/).map(x => parseFloat(x.trim())).filter(x => !isNaN(x));
+        },
+        padTo7(arr) {
+            const r = arr.slice(0, 7);
+            while (r.length < 7) r.push(0);
+            return r;
+        },
+        syncBaseFromText() {
+            const gain = this.systemGain || 1.0;
+            this.baseB = this.padTo7(this.parseCoeffs(this.b_str)).map(x => x / gain);
+            this.baseA = this.padTo7(this.parseCoeffs(this.a_str));
+            this.baseA[0] = 1.0;
+            this.fixedOverrides = { a: {}, b: {} };
+            this.bSliders = [0, 0, 0, 0, 0, 0, 0];
+            this.aSliders = [0, 0, 0, 0, 0, 0, 0];
+            this.outOfRangeB = [false, false, false, false, false, false, false];
+            this.outOfRangeA = [false, false, false, false, false, false, false];
+        },
+        resetSlidersB() {
+            this.bSliders = [0, 0, 0, 0, 0, 0, 0];
+            this.b_str = this.baseB.map(x => parseFloat(x.toPrecision(10))).join(', ');
+            this.debouncedUpdateBode();
+        },
+        resetSlidersA() {
+            this.aSliders = [0, 0, 0, 0, 0, 0];
+            this.a_str = this.baseA.map(x => parseFloat(x.toPrecision(10))).join(', ');
+            this.debouncedUpdateBode();
+        },
+        clearManualAdjustments() {
+            this.bSliders = [0, 0, 0, 0, 0, 0, 0];
+            this.aSliders = [0, 0, 0, 0, 0, 0, 0];
+            const gain = this.systemGain || 1.0;
+            this.b_str = this.baseB.map(x => parseFloat((x * gain).toPrecision(10))).join(', ');
+            this.a_str = this.baseA.map(x => parseFloat(x.toPrecision(10))).join(', ');
+            this.activeCoeffAdjustment = null;
+            this.calcSlidersFromText();
+            this.updateBodePlot({ switchToChart: false });
+        },
+        updateFromControls({ updateBode = true } = {}) {
+            const currentB = this.baseB.map((base, i) => base * (this.systemGain || 1.0) * Math.pow(10, this.bSliders[i] || 0));
+            const currentA = [1.0];
+            for (let i = 1; i < 7; i++) {
+                currentA.push(this.baseA[i] * Math.pow(10, this.aSliders[i] || 0));
+            }
+            this.b_str = currentB.map(x => parseFloat(x.toPrecision(10))).join(', ');
+            this.a_str = currentA.map(x => parseFloat(x.toPrecision(10))).join(', ');
+            if (updateBode) this.debouncedUpdateBode();
+        },
+        stepDecimals(step) {
+            const text = String(step);
+            if (text.includes('e-')) return Number(text.split('e-')[1]);
+            return text.includes('.') ? text.split('.')[1].length : 0;
+        },
+        roundToStep(value, step = this.aFineStep) {
+            const scale = 1 / step;
+            return Math.round(value * scale) / scale;
+        },
+        formatFineCoeff(value) {
+            if (!Number.isFinite(value)) return '0';
+            return Number(value).toString();
+        },
+        formatAFineDelta(step = this.aFineStep) {
+            return this.roundToStep(step, step).toFixed(this.stepDecimals(step));
+        },
+        formatFixedFineCoeff(value) {
+            if (!Number.isFinite(value)) return '0';
+            return Number.isInteger(value) ? String(value) : String(value);
+        },
+        formatFixedAFineDelta(step = this.fixedAFineStep) {
+            return String(step);
+        },
+        adjustAFineStep(direction) {
+            const nextStep = this.aFineStep * (direction > 0 ? 0.1 : 10);
+            const clampedStep = Math.min(1, Math.max(1e-9, nextStep));
+            this.aFineStep = Number(clampedStep.toPrecision(12));
+        },
+        adjustFixedAFineStep(direction) {
+            const nextStep = this.fixedAFineStep * (direction > 0 ? 0.1 : 10);
+            this.fixedAFineStep = Math.max(1, Math.min(1000000000, Math.round(nextStep)));
+        },
+        setDeltaR(delta, r) {
+            const nextDelta = Number(delta);
+            const nextR = Number(r);
+            if (!Number.isFinite(nextDelta) || !Number.isFinite(nextR)) return;
+            this.setA1A2(-1 - nextR + nextDelta, nextR + nextDelta);
+        },
+        setAFineDirect(target, rawValue) {
+            const nextValue = parseFloat(rawValue);
+            if (!Number.isFinite(nextValue)) return;
+            if (target === 'delta') {
+                this.setDeltaR(nextValue, this.currentR);
+            } else if (target === 'r') {
+                this.setDeltaR(this.currentDelta, nextValue);
+            }
+        },
+        adjustAFineValue(target, steps) {
+            const delta = steps * this.aFineStep;
+            if (target === 'delta') {
+                this.setDeltaR(this.currentDelta + delta, this.currentR);
+            } else if (target === 'r') {
+                this.setDeltaR(this.currentDelta, this.currentR + delta);
+            }
+        },
+        handleAFineWheel(target, event) {
+            if (!event.shiftKey) {
+                event.currentTarget?.blur?.();
+                return;
+            }
+            event.preventDefault();
+            const direction = event.deltaY < 0 ? 1 : -1;
+            const steps = Math.max(1, Math.round(Math.abs(event.deltaY) / 80));
+            this.adjustAFineValue(target, direction * steps);
+        },
+        startAFineDrag(target, event) {
+            if (event.pointerType !== 'touch') return;
+            event.preventDefault();
+            this.aFineDrag = { target, lastY: event.clientY, remainder: 0 };
+            window.addEventListener('pointermove', this.moveAFineDrag, { passive: false });
+            window.addEventListener('pointerup', this.stopAFineDrag);
+            window.addEventListener('pointercancel', this.stopAFineDrag);
+        },
+        moveAFineDrag(event) {
+            if (!this.aFineDrag) return;
+            event.preventDefault();
+            const delta = this.aFineDrag.lastY - event.clientY;
+            this.aFineDrag.lastY = event.clientY;
+            this.aFineDrag.remainder += delta;
+            const steps = Math.trunc(this.aFineDrag.remainder / 18);
+            if (steps === 0) return;
+            this.aFineDrag.remainder -= steps * 18;
+            this.adjustAFineValue(this.aFineDrag.target, steps);
+        },
+        stopAFineDrag() {
+            this.aFineDrag = null;
+            window.removeEventListener('pointermove', this.moveAFineDrag);
+            window.removeEventListener('pointerup', this.stopAFineDrag);
+            window.removeEventListener('pointercancel', this.stopAFineDrag);
+        },
+        setFixedDeltaR(delta, r) {
+            const nextDelta = Number(delta);
+            const nextR = Number(r);
+            if (!Number.isFinite(nextDelta) || !Number.isFinite(nextR)) return;
+            this.fixedOverrides.a[1] = Math.round(-this.fixedA0Int - nextR + nextDelta);
+            this.fixedOverrides.a[2] = Math.round(nextR + nextDelta);
+            this.debouncedUpdateBode();
+        },
+        setFixedAFineDirect(target, rawValue) {
+            const nextValue = parseFloat(rawValue);
+            if (!Number.isFinite(nextValue)) return;
+            if (target === 'delta') {
+                this.setFixedDeltaR(nextValue, this.fixedCurrentR);
+            } else if (target === 'r') {
+                this.setFixedDeltaR(this.fixedCurrentDelta, nextValue);
+            }
+        },
+        adjustFixedAFineValue(target, steps) {
+            const delta = steps * this.fixedAFineStep;
+            if (target === 'delta') {
+                this.setFixedDeltaR(this.fixedCurrentDelta + delta, this.fixedCurrentR);
+            } else if (target === 'r') {
+                this.setFixedDeltaR(this.fixedCurrentDelta, this.fixedCurrentR + delta);
+            }
+        },
+        handleFixedAFineWheel(target, event) {
+            if (!event.shiftKey) {
+                event.currentTarget?.blur?.();
+                return;
+            }
+            event.preventDefault();
+            const direction = event.deltaY < 0 ? 1 : -1;
+            const steps = Math.max(1, Math.round(Math.abs(event.deltaY) / 80));
+            this.adjustFixedAFineValue(target, direction * steps);
+        },
+        startFixedA1A2Repeat(target, direction) {
+            this.stopFixedA1A2Repeat();
+            this.adjustFixedAFineValue(target, direction);
+            this.fixedAFineRepeatDelayTimer = setTimeout(() => {
+                this.fixedAFineRepeatTimer = setInterval(() => {
+                    this.adjustFixedAFineValue(target, direction);
+                }, 80);
+            }, 350);
+        },
+        stopFixedA1A2Repeat() {
+            clearTimeout(this.fixedAFineRepeatDelayTimer);
+            clearInterval(this.fixedAFineRepeatTimer);
+            this.fixedAFineRepeatDelayTimer = null;
+            this.fixedAFineRepeatTimer = null;
+        },
+        startFixedAFineDrag(target, event) {
+            if (event.pointerType !== 'touch') return;
+            event.preventDefault();
+            this.fixedAFineDrag = { target, lastY: event.clientY, remainder: 0 };
+            window.addEventListener('pointermove', this.moveFixedAFineDrag, { passive: false });
+            window.addEventListener('pointerup', this.stopFixedAFineDrag);
+            window.addEventListener('pointercancel', this.stopFixedAFineDrag);
+        },
+        moveFixedAFineDrag(event) {
+            if (!this.fixedAFineDrag) return;
+            event.preventDefault();
+            const delta = this.fixedAFineDrag.lastY - event.clientY;
+            this.fixedAFineDrag.lastY = event.clientY;
+            this.fixedAFineDrag.remainder += delta;
+            const steps = Math.trunc(this.fixedAFineDrag.remainder / 18);
+            if (steps === 0) return;
+            this.fixedAFineDrag.remainder -= steps * 18;
+            this.adjustFixedAFineValue(this.fixedAFineDrag.target, steps);
+        },
+        stopFixedAFineDrag() {
+            this.fixedAFineDrag = null;
+            window.removeEventListener('pointermove', this.moveFixedAFineDrag);
+            window.removeEventListener('pointerup', this.stopFixedAFineDrag);
+            window.removeEventListener('pointercancel', this.stopFixedAFineDrag);
+        },
+        normalizeShiftBits(rawValue) {
+            const nextValue = parseInt(rawValue, 10);
+            if (!Number.isFinite(nextValue)) return 0;
+            return Math.max(0, nextValue);
+        },
+        setShiftBits(type, rawValue) {
+            const nextValue = this.normalizeShiftBits(rawValue);
+            if (type === 'b') {
+                this.shiftBitsB = nextValue;
+            } else {
+                this.shiftBitsA = nextValue;
+            }
+            this.clearFixedOverrides(type);
+            this.debouncedUpdateBode();
+        },
+        adjustShiftBits(type, steps) {
+            const current = type === 'b' ? this.shiftBitsB : this.shiftBitsA;
+            this.setShiftBits(type, current + steps);
+        },
+        handleShiftBitWheel(type, event) {
+            if (!event.shiftKey) {
+                event.currentTarget?.blur?.();
+                return;
+            }
+            event.preventDefault();
+            const direction = event.deltaY < 0 ? 1 : -1;
+            const steps = Math.max(1, Math.round(Math.abs(event.deltaY) / 80));
+            this.adjustShiftBits(type, direction * steps);
+        },
+        startShiftBitRepeat(type, direction) {
+            this.stopShiftBitRepeat();
+            this.adjustShiftBits(type, direction);
+            this.shiftBitRepeatDelayTimer = setTimeout(() => {
+                this.shiftBitRepeatTimer = setInterval(() => {
+                    this.adjustShiftBits(type, direction);
+                }, 80);
+            }, 350);
+        },
+        stopShiftBitRepeat() {
+            clearTimeout(this.shiftBitRepeatDelayTimer);
+            clearInterval(this.shiftBitRepeatTimer);
+            this.shiftBitRepeatDelayTimer = null;
+            this.shiftBitRepeatTimer = null;
+        },
+        startShiftBitDrag(type, event) {
+            if (event.pointerType !== 'touch') return;
+            event.preventDefault();
+            this.shiftBitDrag = { type, lastY: event.clientY, remainder: 0 };
+            window.addEventListener('pointermove', this.moveShiftBitDrag, { passive: false });
+            window.addEventListener('pointerup', this.stopShiftBitDrag);
+            window.addEventListener('pointercancel', this.stopShiftBitDrag);
+        },
+        moveShiftBitDrag(event) {
+            if (!this.shiftBitDrag) return;
+            event.preventDefault();
+            const delta = this.shiftBitDrag.lastY - event.clientY;
+            this.shiftBitDrag.lastY = event.clientY;
+            this.shiftBitDrag.remainder += delta;
+            const steps = Math.trunc(this.shiftBitDrag.remainder / 18);
+            if (steps === 0) return;
+            this.shiftBitDrag.remainder -= steps * 18;
+            this.adjustShiftBits(this.shiftBitDrag.type, steps);
+        },
+        stopShiftBitDrag() {
+            this.shiftBitDrag = null;
+            window.removeEventListener('pointermove', this.moveShiftBitDrag);
+            window.removeEventListener('pointerup', this.stopShiftBitDrag);
+            window.removeEventListener('pointercancel', this.stopShiftBitDrag);
+        },
+        setA1A2(a1, a2) {
+            const a = this.padTo7(this.parseCoeffs(this.a_str));
+            a[0] = 1.0;
+            a[1] = Number(a1);
+            a[2] = Number(a2);
+            this.a_str = a.map(x => Number.isFinite(x) ? Number(x).toString() : '0').join(', ');
+            this.calcSlidersFromText();
+            this.debouncedUpdateBode();
+        },
+        adjustA1A2(mode, direction) {
+            const step = this.aFineStep * direction;
+
+            if (mode === 'delta') {
+                this.setDeltaR(this.currentDelta + step, this.currentR);
+            } else if (mode === 'r') {
+                this.setDeltaR(this.currentDelta, this.currentR + step);
+            }
+        },
+        startA1A2Repeat(mode, direction) {
+            this.stopA1A2Repeat();
+            this.adjustA1A2(mode, direction);
+            this.aFineRepeatDelayTimer = setTimeout(() => {
+                this.aFineRepeatTimer = setInterval(() => {
+                    this.adjustA1A2(mode, direction);
+                }, 80);
+            }, 350);
+        },
+        stopA1A2Repeat() {
+            clearTimeout(this.aFineRepeatDelayTimer);
+            clearInterval(this.aFineRepeatTimer);
+            this.aFineRepeatDelayTimer = null;
+            this.aFineRepeatTimer = null;
+        },
+        toggleCoeffAdjustment(panel) {
+            if (this.activeCoeffAdjustment === panel) {
+                this.activeCoeffAdjustment = null;
+                return;
+            }
+            this.activeCoeffAdjustment = panel;
+            if (panel === 'a1a2') {
+                this.calcSlidersFromText();
+            }
+        },
+        calcSlidersFromText() {
+            const gain = this.systemGain || 1.0;
+            const currentB = this.parseCoeffs(this.b_str);
+            const currentA = this.parseCoeffs(this.a_str);
+
+            // 計算 b 係數滑桿
+            for (let i = 0; i < 7; i++) {
+                const val = currentB[i] || 0;
+                const base = this.baseB[i] || 0;
+                this.outOfRangeB[i] = false;
+                if (base !== 0 && val !== 0 && (val / (base * gain)) > 0) {
+                    let logVal = Math.log10(val / (base * gain));
+                    if (Math.abs(logVal) < 1e-12) logVal = 0; // 消除浮點數微小誤差
+                    if (Math.abs(logVal) > this.maxLogB) this.outOfRangeB[i] = true;
+                    this.bSliders[i] = Math.max(-this.maxLogB, Math.min(this.maxLogB, logVal));
+                } else {
+                    this.bSliders[i] = 0;
+                    if (val !== 0 && base !== 0) this.outOfRangeB[i] = true; // 符號不同或極端
+                }
+            }
+            // 計算 a 係數滑桿 (a0 恆為 1, 從 a1 開始)
+            for (let i = 1; i < 7; i++) {
+                const val = currentA[i] || 0;
+                const base = this.baseA[i] || 0;
+                this.outOfRangeA[i] = false;
+                if (base !== 0 && val !== 0 && (val / base) > 0) {
+                    let logVal = Math.log10(val / base);
+                    if (Math.abs(logVal) < 1e-12) logVal = 0; // 消除浮點數微小誤差
+                    if (Math.abs(logVal) > this.maxLogA) this.outOfRangeA[i] = true;
+                    this.aSliders[i] = Math.max(-this.maxLogA, Math.min(this.maxLogA, logVal));
+                } else {
+                    this.aSliders[i] = 0;
+                    if (val !== 0 && base !== 0) this.outOfRangeA[i] = true;
+                }
+            }
+        },
+        debouncedUpdateFromText(type) {
+            if (type === 'b') this.b_str = this.b_str.replace(/[^0-9,.\-\s]/g, '');
+            if (type === 'a') this.a_str = this.a_str.replace(/[^0-9,.\-\s]/g, '');
+
+            // 當文字改變時，反向計算滑桿位置
+            this.calcSlidersFromText();
+            this.debouncedUpdateBode();
+        },
+        onlyNumberKey(e, allowDot = true) {
+            // 允許的控制鍵
+            const allowedKeys = ['Backspace', 'Delete', 'ArrowLeft', 'ArrowRight', 'Tab', 'Enter', 'Home', 'End'];
+            if (allowedKeys.includes(e.key) || e.ctrlKey || e.metaKey) return;
+
+            // 檢查字元是否合法
+            const charRegex = allowDot ? /[0-9,.\-\s]/ : /[0-9,\-\s]/;
+            if (!charRegex.test(e.key)) {
+                e.preventDefault();
+            }
+        },
+        clearFixedOverrides(type = null) {
+            if (type === 'a' || type === 'b') {
+                this.fixedOverrides[type] = {};
+                return;
+            }
+            this.fixedOverrides = { a: {}, b: {} };
+        },
+        resetFixedPointSettings() {
+            this.shiftBitsB = DEFAULT_SHIFT_BITS;
+            this.shiftBitsA = DEFAULT_SHIFT_BITS;
+            this.fixedAFineStep = 1;
+            this.clearFixedOverrides();
+            this.updateBodePlot({ switchToChart: false });
+        },
+        debouncedApply() {
+            clearTimeout(this.bodeTimeout);
+            this.bodeTimeout = setTimeout(() => {
+                if (this.filterType !== MANUAL_FILTER_TYPE) this.applyFilterDesign();
+                else this.updateBodePlot({ switchToChart: false });
+            }, 300);
+        },
+        debouncedUpdateBode() {
+            clearTimeout(this.bodeTimeout);
+            this.bodeTimeout = setTimeout(() => this.updateBodePlot({ switchToChart: false }), 150);
+        },
+        onGainChange() {
+            this.updateFromControls();
+        },
+        onFilterTypeChange() {
+            this.systemGain = 1.0;
+            // 這裡可以選擇是否重設所有設計參數 (fc, Q 等)
+            // 根據使用者要求「載入預設值」，我們呼叫重設邏輯
+            this.clearFixedOverrides();
+            this.bSliders = zero7();
+            this.aSliders = zero7();
+            this.outOfRangeB = [false, false, false, false, false, false, false];
+            this.outOfRangeA = [false, false, false, false, false, false, false];
+            this.activeCoeffAdjustment = null;
+            if (this.filterType !== MANUAL_FILTER_TYPE) {
+                this.params = cloneDefaultParams();
+            }
+            this.applyFilterDesign();
+        },
+        resetFilterParams() {
+            clearTimeout(this.bodeTimeout);
+            this.fs = DEFAULT_FS;
+            this.filterType = DEFAULT_FILTER_TYPE;
+            this.systemGain = 1.0;
+            this.params = cloneDefaultParams();
+            this.b_str = DEFAULT_B_STR;
+            this.a_str = DEFAULT_A_STR;
+            this.baseB = this.padTo7(this.parseCoeffs(DEFAULT_B_STR));
+            this.baseA = this.padTo7(this.parseCoeffs(DEFAULT_A_STR));
+            this.clearFixedOverrides();
+            this.bSliders = zero7();
+            this.aSliders = zero7();
+            this.outOfRangeB = [false, false, false, false, false, false, false];
+            this.outOfRangeA = [false, false, false, false, false, false, false];
+            this.sense_b = '2x';
+            this.sense_a = '2x';
+            this.shiftBitsB = DEFAULT_SHIFT_BITS;
+            this.shiftBitsA = DEFAULT_SHIFT_BITS;
+            this.aFineStep = 0.01;
+            this.fixedAFineStep = 1;
+            this.stopA1A2Repeat();
+            this.stopAFineDrag();
+            this.stopFixedA1A2Repeat();
+            this.stopFixedAFineDrag();
+            this.stopShiftBitRepeat();
+            this.stopShiftBitDrag();
+            this.activeCoeffAdjustment = null;
+            this.globalError = null;
+            this.applyFilterDesign();
+        },
+        async applyFilterDesign() {
+            if (this.filterType === MANUAL_FILTER_TYPE) return;
+            this.globalError = null;
+            try {
+                const payload = {
+                    filter_type: this.filterType, fs: this.fs,
+                    lp_fc: this.params.fc, lp_order: this.params.order,
+                    hp_fc: this.params.fc, hp_order: this.params.order,
+                    bp_f_low: this.params.bp_f_low, bp_f_high: this.params.bp_f_high, bp_order: this.params.bp_order,
+                    notch_f0: this.params.notch_f0, notch_q: this.params.notch_q,
+                    opoz_fz: this.params.opoz_fz, opoz_fp: this.params.opoz_fp,
+                    tp1z_fz: this.params.tp1z_fz, tp1z_fp1: this.params.tp1z_fp1, tp1z_fp2: this.params.tp1z_fp2,
+                    tptz_fz1: this.params.tptz_fz1, tptz_fz2: this.params.tptz_fz2,
+                    tptz_fp1: this.params.tptz_fp1, tptz_fp2: this.params.tptz_fp2,
+                    pid_kp: this.params.kp, pid_ki: this.params.ki, pid_kd: this.params.kd,
+                    sogi_f0: this.params.sogi_f0, sogi_k: this.params.sogi_k
+                };
+                const res = await fetch('/api/design', {
+                    method: 'POST', headers: { 'Content-Type': 'application/json' },
+                    body: JSON.stringify(payload)
+                });
+                if (!res.ok) { const err = await res.json(); throw new Error(err.detail || '設計濾波器失敗'); }
+                const data = await res.json();
+                // 1. 將後端傳回的單位增益係數存入 baseB
+                this.baseB = this.padTo7(data.b);
+                this.baseA = this.padTo7(data.a);
+                this.baseA[0] = 1.0;
+
+                // 2. 重新計算含增益的文字框顯示與滑桿位置
+                this.bSliders = [0, 0, 0, 0, 0, 0, 0];
+                this.aSliders = [0, 0, 0, 0, 0, 0, 0];
+                this.activeCoeffAdjustment = null;
+                this.updateFromControls({ updateBode: false });
+
+                // 3. 更新圖表
+                await this.updateBodePlot({ switchToChart: false });
+            } catch (e) { this.globalError = e.message; }
+        },
+        async updateBodePlot({ switchToChart = true } = {}) {
+            this.loadingBode = true;
+            this.globalError = null;
+            try {
+                let b_ideal = this.parseCoeffs(this.b_str);
+                let a_ideal = this.parseCoeffs(this.a_str);
+                if (b_ideal.length === 0) b_ideal = [1.0];
+                if (a_ideal.length === 0) a_ideal = [1.0];
+
+                const scaleB = Math.pow(2, this.shiftBitsB);
+                const scaleA = Math.pow(2, this.shiftBitsA);
+                const b_fixed = b_ideal.map((x, i) => {
+                    const intVal = (this.fixedOverrides.b[i] !== undefined) ? this.fixedOverrides.b[i] : Math.round(x * scaleB);
+                    return intVal / scaleB;
+                });
+                const a_fixed = a_ideal.map((x, i) => {
+                    const intVal = (this.fixedOverrides.a[i] !== undefined) ? this.fixedOverrides.a[i] : Math.round(x * scaleA);
+                    return intVal / scaleA;
+                });
+
+                const res = await fetch('/api/bode/compare', {
+                    method: 'POST',
+                    headers: { 'Content-Type': 'application/json' },
+                    body: JSON.stringify({
+                        ideal: { b: b_ideal, a: a_ideal, fs: this.fs },
+                        fixed: { b: b_fixed, a: a_fixed, fs: this.fs }
+                    })
+                });
+
+                let data;
+                if (res.status === 404) {
+                    const [resIdeal, resFixed] = await Promise.all([
+                        fetch('/api/bode', {
+                            method: 'POST', headers: { 'Content-Type': 'application/json' },
+                            body: JSON.stringify({ b: b_ideal, a: a_ideal, fs: this.fs })
+                        }),
+                        fetch('/api/bode', {
+                            method: 'POST', headers: { 'Content-Type': 'application/json' },
+                            body: JSON.stringify({ b: b_fixed, a: a_fixed, fs: this.fs })
+                        })
+                    ]);
+
+                    if (!resIdeal.ok || !resFixed.ok) throw new Error('無法計算頻率響應');
+                    const dataIdeal = await resIdeal.json();
+                    const dataFixed = await resFixed.json();
+                    data = {
+                        freq: dataIdeal.freq,
+                        ideal: { mag: dataIdeal.mag, phase: dataIdeal.phase },
+                        fixed: { mag: dataFixed.mag, phase: dataFixed.phase }
+                    };
+                } else if (!res.ok) {
+                    const err = await res.json();
+                    throw new Error(err.detail || '無法計算頻率響應');
+                } else {
+                    data = await res.json();
+                }
+
+                this.drawBodePlot(data.freq, data.ideal.mag, data.ideal.phase, data.fixed.mag, data.fixed.phase);
+                // 手機版：計算完成後自動切換到圖表頁籤
+                if (switchToChart && window.innerWidth < 1024) this.mobileTab = 'chart';
+            } catch (e) { this.globalError = e.message; }
+            finally { this.loadingBode = false; }
+        },
+        drawBodePlot(freq, magIdeal, phaseIdeal, magFixed, phaseFixed) {
+            const fs = this.fs;
+            const fMin = freq[0], fMax = freq[freq.length - 1];
+            const isDark = this.isDarkMode;
+            const isSmallScreen = window.innerWidth < 768;
+
+            // 產生 1-2-5 刻度
+            const xTicks = [], xTexts = [];
+            const pStart = Math.floor(Math.log10(fMin));
+            const pEnd = Math.ceil(Math.log10(fMax));
+            for (let p = pStart; p <= pEnd; p++) {
+                for (const m of [1, 2, 5]) {
+                    const val = m * Math.pow(10, p);
+                    if (val < fMin || val > fMax) continue;
+                    xTicks.push(val);
+                    if (val < 1) xTexts.push(val.toPrecision(3));
+                    else if (val < 1000) xTexts.push(String(val));
+                    else if (val < 1000000) xTexts.push((val / 1000) + 'k');
+                    else xTexts.push((val / 1000000) + 'M');
+                }
+            }
+
+            // Nyquist & fs 標線 (shapes)
+            const shapes = [];
+            const annotations = [];
+            const addVLine = (xVal, text, row) => {
+                const yref = row === 1 ? 'y' : 'y2';
+                shapes.push({
+                    type: 'line', x0: xVal, x1: xVal, y0: 0, y1: 1,
+                    xref: row === 1 ? 'x' : 'x2', yref: yref + ' domain',
+                    line: { color: isDark ? 'rgba(242,184,181,0.72)' : 'rgba(179,38,30,0.68)', width: 1.4, dash: 'dash' }
+                });
+                if (text) {
+                    annotations.push({
+                        x: Math.log10(xVal), y: 1, text: text,
+                        xref: row === 1 ? 'x' : 'x2', yref: yref + ' domain',
+                        showarrow: false, font: { color: isDark ? '#f2b8b5' : '#b3261e', size: isSmallScreen ? 10 : 12 },
+                        yshift: isSmallScreen ? 15 : 12,
+                        xanchor: 'center',
+                        yanchor: isSmallScreen ? 'middle' : 'bottom',
+                        textangle: isSmallScreen ? -90 : 0
+                    });
+                }
+            };
+            addVLine(fs / 2, 'Nyquist', 1);
+            addVLine(fs, 'fs', 1);
+            addVLine(fs / 2, null, 2);
+            addVLine(fs, null, 2);
+
+            // 10 的倍數強化線
+            for (let p = pStart; p <= pEnd; p++) {
+                const v = Math.pow(10, p);
+                if (v >= fMin && v <= fMax) {
+                    const gridColor = isDark ? 'rgba(200,206,224,0.24)' : 'rgba(86,96,117,0.16)';
+                    shapes.push(
+                        { type: 'line', x0: v, x1: v, y0: 0, y1: 1, xref: 'x', yref: 'y domain', line: { color: gridColor, width: 1.5 } },
+                        { type: 'line', x0: v, x1: v, y0: 0, y1: 1, xref: 'x2', yref: 'y2 domain', line: { color: gridColor, width: 1.5 } }
+                    );
+                }
+            }
+
+            const gridColor = isDark ? 'rgba(200,206,224,0.14)' : 'rgba(86,96,117,0.09)';
+            const zeroLineColor = isDark ? 'rgba(200,206,224,0.24)' : 'rgba(82,86,99,0.20)';
+            const textColor = isDark ? '#b4b4bd' : '#525663';
+            const titleColor = isDark ? '#f1f1f4' : '#17191f';
+            const plotBgColor = isDark ? '#090a0d' : '#ffffff';
+
+            const xAxisCommon = {
+                type: 'log', title: { text: 'Freq (Hz)', font: { size: isSmallScreen ? 12 : 14 } },
+                range: [Math.log10(fMin), Math.log10(fMax)],
+                tickvals: xTicks, ticktext: xTexts,
+                showgrid: true, gridcolor: gridColor,
+                tickfont: { color: textColor, size: isSmallScreen ? 11 : 12 },
+                nticks: isSmallScreen ? 6 : 10
+            };
+
+            const layout = {
+                paper_bgcolor: plotBgColor, plot_bgcolor: plotBgColor,
+                margin: isSmallScreen ? { t: 80, b: 120, l: 55, r: 15 } : { t: 70, b: 120, l: 70, r: 30 },
+                showlegend: false,
+                grid: { rows: 2, columns: 1, pattern: 'independent', roworder: 'top to bottom', ygap: isSmallScreen ? 0.35 : 0.3 },
+                font: { color: textColor, family: 'Google Sans, Roboto, sans-serif' },
+                annotations: [
+                    { text: 'Magnitude Response (dB)', xref: 'x domain', yref: 'y domain', x: 0.5, y: isSmallScreen ? 1.25 : 1.15, showarrow: false, font: { size: isSmallScreen ? 14 : 16, color: titleColor, weight: 'normal' } },
+                    { text: 'Phase Response (Deg)', xref: 'x2 domain', yref: 'y2 domain', x: 0.5, y: isSmallScreen ? 1.25 : 1.15, showarrow: false, font: { size: isSmallScreen ? 14 : 16, color: titleColor, weight: 'normal' } },
+
+                    // 手動 Magnitude 圖例 (位於上方圖表下方)
+                    { xref: 'paper', yref: 'paper', x: 0.35, y: isSmallScreen ? 0.52 : 0.54, text: '一一一', font: { color: isDark ? '#c8cee0' : '#566075', size: 10 }, showarrow: false },
+                    { xref: 'paper', yref: 'paper', x: 0.42, y: isSmallScreen ? 0.52 : 0.54, text: 'Ideal (Float)', font: { color: textColor, size: 11 }, showarrow: false, xanchor: 'left' },
+                    { xref: 'paper', yref: 'paper', x: 0.58, y: isSmallScreen ? 0.52 : 0.54, text: '· · · ·', font: { color: isDark ? '#b9b2ff' : '#7a6689', size: 14 }, showarrow: false },
+                    { xref: 'paper', yref: 'paper', x: 0.63, y: isSmallScreen ? 0.52 : 0.54, text: `Fixed (b Q${this.shiftBitsB}, a Q${this.shiftBitsA})`, font: { color: textColor, size: 11 }, showarrow: false, xanchor: 'left' },
+
+                    // 手動 Phase 圖例 (位於下方圖表下方)
+                    { xref: 'paper', yref: 'paper', x: 0.35, y: -0.15, text: '一一一', font: { color: isDark ? '#64d2ff' : '#2d6f8f', size: 10 }, showarrow: false },
+                    { xref: 'paper', yref: 'paper', x: 0.42, y: -0.15, text: 'Ideal Phase', font: { color: textColor, size: 11 }, showarrow: false, xanchor: 'left' },
+                    { xref: 'paper', yref: 'paper', x: 0.58, y: -0.15, text: '· · · ·', font: { color: isDark ? '#ff9bd8' : '#96527b', size: 14 }, showarrow: false },
+                    { xref: 'paper', yref: 'paper', x: 0.63, y: -0.15, text: 'Fixed Phase', font: { color: textColor, size: 11 }, showarrow: false, xanchor: 'left' },
+
+                    ...annotations
+                ],
+                xaxis: { ...xAxisCommon },
+                yaxis: { title: { text: 'Mag (dB)', font: { size: isSmallScreen ? 12 : 14 } }, range: [-60, 0], gridcolor: gridColor, zerolinecolor: zeroLineColor, tickfont: { color: textColor, size: isSmallScreen ? 11 : 12 } },
+                xaxis2: { ...xAxisCommon },
+                yaxis2: { title: { text: 'Phase (°)', font: { size: isSmallScreen ? 12 : 14 } }, range: [-180, 180], tickvals: [-180, -90, 0, 90, 180], gridcolor: gridColor, zerolinecolor: zeroLineColor, tickfont: { color: textColor, size: isSmallScreen ? 11 : 12 } },
+                shapes: shapes
+            };
+
+            const traceMagIdeal = { x: freq, y: magIdeal, name: 'Ideal (Float)', type: 'scatter', line: { color: isDark ? '#c8cee0' : '#566075', width: 2.8 } };
+            const traceMagFixed = { x: freq, y: magFixed, name: `Fixed (b Q${this.shiftBitsB}, a Q${this.shiftBitsA})`, type: 'scatter', line: { color: isDark ? '#b9b2ff' : '#7a6689', width: 2.4, dash: 'dot' } };
 
-const cloneDefaultParams = () => ({ ...DEFAULT_PARAMS });
-const zero7 = () => [...ZERO_7];
-
-export default {
-    data() {
-        return {
-            fs: DEFAULT_FS,
-            b_str: DEFAULT_B_STR,
-            a_str: DEFAULT_A_STR,
-            filterType: DEFAULT_FILTER_TYPE,
-            filterOptions: [
-                "Lowpass (低通)", "Highpass (高通)", "Bandpass (帶通)",
-                "Notch (陷波器)", "1P1Z (一極一零)", "2P1Z (二極一零)", "2P2Z (二極二零)",
-                "PID 控制器", "SOGI-Alpha (帶通)", "SOGI-Beta (低通)", "(無) 手動自訂"
-            ],
-            systemGain: 1.0,
-            params: cloneDefaultParams(),
-            // 模式切換
-            isDarkMode: false,
-            // 係數倍率微調
-            baseB: [0.5, 0.5, 0, 0, 0, 0, 0],
-            baseA: [1, 0, 0, 0, 0, 0, 0],
-            bSliders: zero7(),
-            aSliders: zero7(),  // a1~a6 (index 0 unused for display but maps to a[1]~a[6])
-            sense_b: '2x', sense_a: '2x',
-
-            loadingBode: false, bodeTimeout: null, globalError: null,
-            csvFile: null, csvColumns: [], csvPreview: [], csvInfo: null, csvParseError: null,
-            selectedColumn: 0, loadingFilter: false, filterDone: false, timePlotData: null,
-            mobileTab: 'settings',  // 手機版頁籤：'settings' | 'chart'
-            shiftBitsB: DEFAULT_SHIFT_BITS,
-            shiftBitsA: DEFAULT_SHIFT_BITS,
-            fixedOverrides: { a: {}, b: {} },
-            outOfRangeB: [false, false, false, false, false, false, false],
-            outOfRangeA: [false, false, false, false, false, false, false],
-            aFineStep: 0.01,
-            aFineRepeatDelayTimer: null,
-            aFineRepeatTimer: null,
-            aFineDrag: null,
-            shiftBitRepeatDelayTimer: null,
-            shiftBitRepeatTimer: null,
-            shiftBitDrag: null,
-            fixedAFineStep: 1,
-            fixedAFineDrag: null,
-            fixedAFineRepeatDelayTimer: null,
-            fixedAFineRepeatTimer: null,
-            isTouchInput: false,
-            showAdvancedAdjustment: false,
-            activeCoeffAdjustment: null,
-        }
-    },
-
-    computed: {
-        maxLogB() {
-            if (this.sense_b === '1%') return Math.log10(1.01);
-            if (this.sense_b === '2x') return Math.log10(2.0);
-            return 1.0;
-        },
-        maxLogA() {
-            if (this.sense_a === '1%') return Math.log10(1.01);
-            if (this.sense_a === '2x') return Math.log10(2.0);
-            if (this.sense_a === '10x') return Math.log10(10.0);
-            return Math.log10(2.0);
-        },
-        b_int_str: {
-            get() {
-                return this.fixedPointCoeffs.b.map(item => item.val).join(', ');
-            },
-            set(val) {
-                const cleaned = val.replace(/[^0-9,\-\s]/g, '');
-                const nums = this.parseCoeffs(cleaned);
-                nums.forEach((n, i) => {
-                    this.fixedOverrides.b[i] = Math.round(n);
-                });
-                this.debouncedUpdateBode();
-            }
-        },
-        a_int_str: {
-            get() {
-                return this.fixedPointCoeffs.a.map(item => item.val).join(', ');
-            },
-            set(val) {
-                const cleaned = val.replace(/[^0-9,\-\s]/g, '');
-                const nums = this.parseCoeffs(cleaned);
-                nums.forEach((n, i) => {
-                    this.fixedOverrides.a[i] = Math.round(n);
-                });
-                this.debouncedUpdateBode();
-            }
-        },
-        fixedPointCoeffs() {
-            const scaleB = Math.pow(2, this.shiftBitsB);
-            const scaleA = Math.pow(2, this.shiftBitsA);
-            const b_raw = this.parseCoeffs(this.b_str);
-            const a_raw = this.parseCoeffs(this.a_str);
-
-            const b = b_raw.map((x, i) => {
-                const autoVal = Math.round(x * scaleB);
-                const val = (this.fixedOverrides.b[i] !== undefined) ? this.fixedOverrides.b[i] : autoVal;
-                return { label: `b${i}`, val, isOverridden: this.fixedOverrides.b[i] !== undefined };
-            });
-            const a = a_raw.map((x, i) => {
-                const autoVal = Math.round(x * scaleA);
-                const val = (this.fixedOverrides.a[i] !== undefined) ? this.fixedOverrides.a[i] : autoVal;
-                return { label: `a${i}`, val, isOverridden: this.fixedOverrides.a[i] !== undefined };
-            });
-
-            return { b, a };
-        },
-        floatingCoeffs() {
-            const b = this.parseCoeffs(this.b_str).map((x, i) => ({ label: `b${i}`, val: parseFloat(x.toPrecision(6)) }));
-            const a = this.parseCoeffs(this.a_str).map((x, i) => ({ label: `a${i}`, val: parseFloat(x.toPrecision(6)) }));
-            return { b, a };
-        },
-        isManualDirty() {
-            if (this.bSliders.some(v => v !== 0) || this.aSliders.some(v => v !== 0)) return true;
-            const currentB = this.padTo7(this.parseCoeffs(this.b_str));
-            const currentA = this.padTo7(this.parseCoeffs(this.a_str));
-            const targetB = this.baseB.map(x => x * (this.systemGain || 1.0));
-            const targetA = this.baseA;
-
-            for (let i = 0; i < 7; i++) {
-                const bVal = currentB[i] || 0;
-                const bTarget = targetB[i] || 0;
-                // 使用相對誤差，避免數值較大時 (如 K > 10000) 產生的精確度誤判
-                const epsB = Math.max(1e-8, Math.abs(bTarget) * 1e-10);
-                if (Math.abs(bVal - bTarget) > epsB) return true;
-
-                const aVal = currentA[i] || 0;
-                const aTarget = targetA[i] || 0;
-                const epsA = Math.max(1e-8, Math.abs(aTarget) * 1e-10);
-                if (Math.abs(aVal - aTarget) > epsA) return true;
-            }
-            return false;
-        },
-        isFixedPointDirty() {
-            return this.shiftBitsB !== DEFAULT_SHIFT_BITS
-                || this.shiftBitsA !== DEFAULT_SHIFT_BITS
-                || Object.keys(this.fixedOverrides.b).length > 0
-                || Object.keys(this.fixedOverrides.a).length > 0;
-        },
-        currentA1() {
-            const a = this.parseCoeffs(this.a_str);
-            return a[1] || 0;
-        },
-        currentA2() {
-            const a = this.parseCoeffs(this.a_str);
-            return a[2] || 0;
-        },
-        currentDelta() {
-            return (this.currentA1 + this.currentA2 + 1) / 2;
-        },
-        currentR() {
-            return (this.currentA2 - this.currentA1 - 1) / 2;
-        },
-        currentA1A2Diff() {
-            return this.currentA1 - this.currentA2;
-        },
-        currentA1A2Sum() {
-            return this.currentA1 + this.currentA2;
-        },
-        fixedA0Int() {
-            return Math.pow(2, this.shiftBitsA);
-        },
-        fixedCurrentA1() {
-            return this.fixedPointCoeffs.a[1]?.val || 0;
-        },
-        fixedCurrentA2() {
-            return this.fixedPointCoeffs.a[2]?.val || 0;
-        },
-        fixedCurrentDelta() {
-            return (this.fixedCurrentA1 + this.fixedCurrentA2 + this.fixedA0Int) / 2;
-        },
-        fixedCurrentR() {
-            return (this.fixedCurrentA2 - this.fixedCurrentA1 - this.fixedA0Int) / 2;
-        },
-        fixedCurrentA1A2Diff() {
-            return this.fixedCurrentA1 - this.fixedCurrentA2;
-        },
-        fixedCurrentA1A2Sum() {
-            return this.fixedCurrentA1 + this.fixedCurrentA2;
-        }
-    },
-    mounted() {
-        this.isTouchInput = window.matchMedia?.('(pointer: coarse)').matches || false;
-        window.addEventListener('pointerdown', this.rememberPointerType);
-
-        const savedTheme = localStorage.getItem('theme');
-        if (savedTheme) {
-            this.isDarkMode = savedTheme === 'dark';
-        }
-        if (this.isDarkMode) {
-            document.documentElement.classList.add('dark');
-        } else {
-            document.documentElement.classList.remove('dark');
-        }
-        this.applyFilterDesign();
-    },
-    beforeUnmount() {
-        window.removeEventListener('pointerdown', this.rememberPointerType);
-        this.stopA1A2Repeat();
-        this.stopAFineDrag();
-        this.stopShiftBitRepeat();
-        this.stopShiftBitDrag();
-        this.stopFixedA1A2Repeat();
-        this.stopFixedAFineDrag();
-    },
-    methods: {
-        rememberPointerType(event) {
-            if (event.pointerType === 'touch') {
-                this.isTouchInput = true;
-            } else if (event.pointerType === 'mouse' || event.pointerType === 'pen') {
-                this.isTouchInput = false;
-            }
-        },
-        toggleDarkMode() {
-            this.isDarkMode = !this.isDarkMode;
-            localStorage.setItem('theme', this.isDarkMode ? 'dark' : 'light');
-            if (this.isDarkMode) {
-                document.documentElement.classList.add('dark');
-            } else {
-                document.documentElement.classList.remove('dark');
-            }
-            this.updateBodePlot({ switchToChart: false });
-            if (this.timePlotData) {
-                this.drawTimePlot(this.timePlotData);
-            }
-        },
-        formatK(val) {
-            if (val >= 1000000) return `(~${(val / 1000000).toFixed(1).replace('.0', '')}M)`;
-            if (val >= 1000) return `(~${(val / 1000).toFixed(1).replace('.0', '')}k)`;
-            return "";
-        },
-        parseCoeffs(str) {
-            if (!str) return [];
-            // 支援逗號、空格、換行等分隔符號
-            return str.split(/[,\s]+/).map(x => parseFloat(x.trim())).filter(x => !isNaN(x));
-        },
-        padTo7(arr) {
-            const r = arr.slice(0, 7);
-            while (r.length < 7) r.push(0);
-            return r;
-        },
-        syncBaseFromText() {
-            const gain = this.systemGain || 1.0;
-            this.baseB = this.padTo7(this.parseCoeffs(this.b_str)).map(x => x / gain);
-            this.baseA = this.padTo7(this.parseCoeffs(this.a_str));
-            this.baseA[0] = 1.0;
-            this.fixedOverrides = { a: {}, b: {} };
-            this.bSliders = [0, 0, 0, 0, 0, 0, 0];
-            this.aSliders = [0, 0, 0, 0, 0, 0, 0];
-            this.outOfRangeB = [false, false, false, false, false, false, false];
-            this.outOfRangeA = [false, false, false, false, false, false, false];
-        },
-        resetSlidersB() {
-            this.bSliders = [0, 0, 0, 0, 0, 0, 0];
-            this.b_str = this.baseB.map(x => parseFloat(x.toPrecision(10))).join(', ');
-            this.debouncedUpdateBode();
-        },
-        resetSlidersA() {
-            this.aSliders = [0, 0, 0, 0, 0, 0];
-            this.a_str = this.baseA.map(x => parseFloat(x.toPrecision(10))).join(', ');
-            this.debouncedUpdateBode();
-        },
-        clearManualAdjustments() {
-            this.bSliders = [0, 0, 0, 0, 0, 0, 0];
-            this.aSliders = [0, 0, 0, 0, 0, 0, 0];
-            const gain = this.systemGain || 1.0;
-            this.b_str = this.baseB.map(x => parseFloat((x * gain).toPrecision(10))).join(', ');
-            this.a_str = this.baseA.map(x => parseFloat(x.toPrecision(10))).join(', ');
-            this.showAdvancedAdjustment = false;
-            this.activeCoeffAdjustment = null;
-            this.calcSlidersFromText();
-            this.updateBodePlot({ switchToChart: false });
-        },
-        updateFromControls() {
-            const currentB = this.baseB.map((base, i) => base * (this.systemGain || 1.0) * Math.pow(10, this.bSliders[i] || 0));
-            const currentA = [1.0];
-            for (let i = 1; i < 7; i++) {
-                currentA.push(this.baseA[i] * Math.pow(10, this.aSliders[i] || 0));
-            }
-            this.b_str = currentB.map(x => parseFloat(x.toPrecision(10))).join(', ');
-            this.a_str = currentA.map(x => parseFloat(x.toPrecision(10))).join(', ');
-            this.debouncedUpdateBode();
-        },
-        updateFromText() {
-            // 不再呼叫 syncBaseFromText()，保留基礎設計 (baseB/baseA) 作為參考點
-            // 只更新圖表，讓滑桿維持在相對應的偏差位置
-            this.updateBodePlot({ switchToChart: false });
-        },
-        stepDecimals(step) {
-            const text = String(step);
-            if (text.includes('e-')) return Number(text.split('e-')[1]);
-            return text.includes('.') ? text.split('.')[1].length : 0;
-        },
-        roundToStep(value, step = this.aFineStep) {
-            const scale = 1 / step;
-            return Math.round(value * scale) / scale;
-        },
-        formatFineCoeff(value) {
-            if (!Number.isFinite(value)) return '0';
-            return Number(value).toString();
-        },
-        formatAFineDelta(step = this.aFineStep) {
-            return this.roundToStep(step, step).toFixed(this.stepDecimals(step));
-        },
-        formatFixedFineCoeff(value) {
-            if (!Number.isFinite(value)) return '0';
-            return Number.isInteger(value) ? String(value) : String(value);
-        },
-        formatFixedAFineDelta(step = this.fixedAFineStep) {
-            return String(step);
-        },
-        adjustAFineStep(direction) {
-            const nextStep = this.aFineStep * (direction > 0 ? 0.1 : 10);
-            const clampedStep = Math.min(1, Math.max(1e-9, nextStep));
-            this.aFineStep = Number(clampedStep.toPrecision(12));
-        },
-        adjustFixedAFineStep(direction) {
-            const nextStep = this.fixedAFineStep * (direction > 0 ? 0.1 : 10);
-            this.fixedAFineStep = Math.max(1, Math.min(1000000000, Math.round(nextStep)));
-        },
-        setDeltaR(delta, r) {
-            const nextDelta = Number(delta);
-            const nextR = Number(r);
-            if (!Number.isFinite(nextDelta) || !Number.isFinite(nextR)) return;
-            this.setA1A2(-1 - nextR + nextDelta, nextR + nextDelta);
-        },
-        setAFineDirect(target, rawValue) {
-            const nextValue = parseFloat(rawValue);
-            if (!Number.isFinite(nextValue)) return;
-            if (target === 'delta') {
-                this.setDeltaR(nextValue, this.currentR);
-            } else if (target === 'r') {
-                this.setDeltaR(this.currentDelta, nextValue);
-            }
-        },
-        adjustAFineValue(target, steps) {
-            const delta = steps * this.aFineStep;
-            if (target === 'delta') {
-                this.setDeltaR(this.currentDelta + delta, this.currentR);
-            } else if (target === 'r') {
-                this.setDeltaR(this.currentDelta, this.currentR + delta);
-            }
-        },
-        handleAFineWheel(target, event) {
-            if (!event.shiftKey) {
-                event.currentTarget?.blur?.();
-                return;
-            }
-            event.preventDefault();
-            const direction = event.deltaY < 0 ? 1 : -1;
-            const steps = Math.max(1, Math.round(Math.abs(event.deltaY) / 80));
-            this.adjustAFineValue(target, direction * steps);
-        },
-        startAFineDrag(target, event) {
-            if (event.pointerType !== 'touch') return;
-            event.preventDefault();
-            this.aFineDrag = { target, lastY: event.clientY, remainder: 0 };
-            window.addEventListener('pointermove', this.moveAFineDrag, { passive: false });
-            window.addEventListener('pointerup', this.stopAFineDrag);
-            window.addEventListener('pointercancel', this.stopAFineDrag);
-        },
-        moveAFineDrag(event) {
-            if (!this.aFineDrag) return;
-            event.preventDefault();
-            const delta = this.aFineDrag.lastY - event.clientY;
-            this.aFineDrag.lastY = event.clientY;
-            this.aFineDrag.remainder += delta;
-            const steps = Math.trunc(this.aFineDrag.remainder / 18);
-            if (steps === 0) return;
-            this.aFineDrag.remainder -= steps * 18;
-            this.adjustAFineValue(this.aFineDrag.target, steps);
-        },
-        stopAFineDrag() {
-            this.aFineDrag = null;
-            window.removeEventListener('pointermove', this.moveAFineDrag);
-            window.removeEventListener('pointerup', this.stopAFineDrag);
-            window.removeEventListener('pointercancel', this.stopAFineDrag);
-        },
-        setFixedDeltaR(delta, r) {
-            const nextDelta = Number(delta);
-            const nextR = Number(r);
-            if (!Number.isFinite(nextDelta) || !Number.isFinite(nextR)) return;
-            this.fixedOverrides.a[1] = Math.round(-this.fixedA0Int - nextR + nextDelta);
-            this.fixedOverrides.a[2] = Math.round(nextR + nextDelta);
-            this.debouncedUpdateBode();
-        },
-        setFixedAFineDirect(target, rawValue) {
-            const nextValue = parseFloat(rawValue);
-            if (!Number.isFinite(nextValue)) return;
-            if (target === 'delta') {
-                this.setFixedDeltaR(nextValue, this.fixedCurrentR);
-            } else if (target === 'r') {
-                this.setFixedDeltaR(this.fixedCurrentDelta, nextValue);
-            }
-        },
-        adjustFixedAFineValue(target, steps) {
-            const delta = steps * this.fixedAFineStep;
-            if (target === 'delta') {
-                this.setFixedDeltaR(this.fixedCurrentDelta + delta, this.fixedCurrentR);
-            } else if (target === 'r') {
-                this.setFixedDeltaR(this.fixedCurrentDelta, this.fixedCurrentR + delta);
-            }
-        },
-        handleFixedAFineWheel(target, event) {
-            if (!event.shiftKey) {
-                event.currentTarget?.blur?.();
-                return;
-            }
-            event.preventDefault();
-            const direction = event.deltaY < 0 ? 1 : -1;
-            const steps = Math.max(1, Math.round(Math.abs(event.deltaY) / 80));
-            this.adjustFixedAFineValue(target, direction * steps);
-        },
-        startFixedA1A2Repeat(target, direction) {
-            this.stopFixedA1A2Repeat();
-            this.adjustFixedAFineValue(target, direction);
-            this.fixedAFineRepeatDelayTimer = setTimeout(() => {
-                this.fixedAFineRepeatTimer = setInterval(() => {
-                    this.adjustFixedAFineValue(target, direction);
-                }, 80);
-            }, 350);
-        },
-        stopFixedA1A2Repeat() {
-            clearTimeout(this.fixedAFineRepeatDelayTimer);
-            clearInterval(this.fixedAFineRepeatTimer);
-            this.fixedAFineRepeatDelayTimer = null;
-            this.fixedAFineRepeatTimer = null;
-        },
-        startFixedAFineDrag(target, event) {
-            if (event.pointerType !== 'touch') return;
-            event.preventDefault();
-            this.fixedAFineDrag = { target, lastY: event.clientY, remainder: 0 };
-            window.addEventListener('pointermove', this.moveFixedAFineDrag, { passive: false });
-            window.addEventListener('pointerup', this.stopFixedAFineDrag);
-            window.addEventListener('pointercancel', this.stopFixedAFineDrag);
-        },
-        moveFixedAFineDrag(event) {
-            if (!this.fixedAFineDrag) return;
-            event.preventDefault();
-            const delta = this.fixedAFineDrag.lastY - event.clientY;
-            this.fixedAFineDrag.lastY = event.clientY;
-            this.fixedAFineDrag.remainder += delta;
-            const steps = Math.trunc(this.fixedAFineDrag.remainder / 18);
-            if (steps === 0) return;
-            this.fixedAFineDrag.remainder -= steps * 18;
-            this.adjustFixedAFineValue(this.fixedAFineDrag.target, steps);
-        },
-        stopFixedAFineDrag() {
-            this.fixedAFineDrag = null;
-            window.removeEventListener('pointermove', this.moveFixedAFineDrag);
-            window.removeEventListener('pointerup', this.stopFixedAFineDrag);
-            window.removeEventListener('pointercancel', this.stopFixedAFineDrag);
-        },
-        normalizeShiftBits(rawValue) {
-            const nextValue = parseInt(rawValue, 10);
-            if (!Number.isFinite(nextValue)) return 0;
-            return Math.max(0, nextValue);
-        },
-        setShiftBits(type, rawValue) {
-            const nextValue = this.normalizeShiftBits(rawValue);
-            if (type === 'b') {
-                this.shiftBitsB = nextValue;
-            } else {
-                this.shiftBitsA = nextValue;
-            }
-            this.clearFixedOverrides(type);
-            this.debouncedUpdateBode();
-        },
-        adjustShiftBits(type, steps) {
-            const current = type === 'b' ? this.shiftBitsB : this.shiftBitsA;
-            this.setShiftBits(type, current + steps);
-        },
-        handleShiftBitWheel(type, event) {
-            if (!event.shiftKey) {
-                event.currentTarget?.blur?.();
-                return;
-            }
-            event.preventDefault();
-            const direction = event.deltaY < 0 ? 1 : -1;
-            const steps = Math.max(1, Math.round(Math.abs(event.deltaY) / 80));
-            this.adjustShiftBits(type, direction * steps);
-        },
-        startShiftBitRepeat(type, direction) {
-            this.stopShiftBitRepeat();
-            this.adjustShiftBits(type, direction);
-            this.shiftBitRepeatDelayTimer = setTimeout(() => {
-                this.shiftBitRepeatTimer = setInterval(() => {
-                    this.adjustShiftBits(type, direction);
-                }, 80);
-            }, 350);
-        },
-        stopShiftBitRepeat() {
-            clearTimeout(this.shiftBitRepeatDelayTimer);
-            clearInterval(this.shiftBitRepeatTimer);
-            this.shiftBitRepeatDelayTimer = null;
-            this.shiftBitRepeatTimer = null;
-        },
-        startShiftBitDrag(type, event) {
-            if (event.pointerType !== 'touch') return;
-            event.preventDefault();
-            this.shiftBitDrag = { type, lastY: event.clientY, remainder: 0 };
-            window.addEventListener('pointermove', this.moveShiftBitDrag, { passive: false });
-            window.addEventListener('pointerup', this.stopShiftBitDrag);
-            window.addEventListener('pointercancel', this.stopShiftBitDrag);
-        },
-        moveShiftBitDrag(event) {
-            if (!this.shiftBitDrag) return;
-            event.preventDefault();
-            const delta = this.shiftBitDrag.lastY - event.clientY;
-            this.shiftBitDrag.lastY = event.clientY;
-            this.shiftBitDrag.remainder += delta;
-            const steps = Math.trunc(this.shiftBitDrag.remainder / 18);
-            if (steps === 0) return;
-            this.shiftBitDrag.remainder -= steps * 18;
-            this.adjustShiftBits(this.shiftBitDrag.type, steps);
-        },
-        stopShiftBitDrag() {
-            this.shiftBitDrag = null;
-            window.removeEventListener('pointermove', this.moveShiftBitDrag);
-            window.removeEventListener('pointerup', this.stopShiftBitDrag);
-            window.removeEventListener('pointercancel', this.stopShiftBitDrag);
-        },
-        setA1A2(a1, a2) {
-            const a = this.padTo7(this.parseCoeffs(this.a_str));
-            a[0] = 1.0;
-            a[1] = Number(a1);
-            a[2] = Number(a2);
-            this.a_str = a.map(x => Number.isFinite(x) ? Number(x).toString() : '0').join(', ');
-            this.calcSlidersFromText();
-            this.debouncedUpdateBode();
-        },
-        adjustA1A2(mode, direction) {
-            const step = this.aFineStep * direction;
-
-            if (mode === 'delta') {
-                this.setDeltaR(this.currentDelta + step, this.currentR);
-            } else if (mode === 'r') {
-                this.setDeltaR(this.currentDelta, this.currentR + step);
-            }
-        },
-        startA1A2Repeat(mode, direction) {
-            this.stopA1A2Repeat();
-            this.adjustA1A2(mode, direction);
-            this.aFineRepeatDelayTimer = setTimeout(() => {
-                this.aFineRepeatTimer = setInterval(() => {
-                    this.adjustA1A2(mode, direction);
-                }, 80);
-            }, 350);
-        },
-        stopA1A2Repeat() {
-            clearTimeout(this.aFineRepeatDelayTimer);
-            clearInterval(this.aFineRepeatTimer);
-            this.aFineRepeatDelayTimer = null;
-            this.aFineRepeatTimer = null;
-        },
-        enableAdvancedAdjustment() {
-            this.calcSlidersFromText();
-            this.showAdvancedAdjustment = true;
-            this.activeCoeffAdjustment = 'a1a2';
-        },
-        toggleCoeffAdjustment(panel) {
-            if (this.activeCoeffAdjustment === panel) {
-                this.activeCoeffAdjustment = null;
-                this.showAdvancedAdjustment = false;
-                return;
-            }
-            this.activeCoeffAdjustment = panel;
-            this.showAdvancedAdjustment = panel === 'a1a2';
-            if (panel === 'a1a2') {
-                this.calcSlidersFromText();
-            }
-        },
-        calcSlidersFromText() {
-            const gain = this.systemGain || 1.0;
-            const currentB = this.parseCoeffs(this.b_str);
-            const currentA = this.parseCoeffs(this.a_str);
-
-            // 計算 b 係數滑桿
-            for (let i = 0; i < 7; i++) {
-                const val = currentB[i] || 0;
-                const base = this.baseB[i] || 0;
-                this.outOfRangeB[i] = false;
-                if (base !== 0 && val !== 0 && (val / (base * gain)) > 0) {
-                    let logVal = Math.log10(val / (base * gain));
-                    if (Math.abs(logVal) < 1e-12) logVal = 0; // 消除浮點數微小誤差
-                    if (Math.abs(logVal) > this.maxLogB) this.outOfRangeB[i] = true;
-                    this.bSliders[i] = Math.max(-this.maxLogB, Math.min(this.maxLogB, logVal));
-                } else {
-                    this.bSliders[i] = 0;
-                    if (val !== 0 && base !== 0) this.outOfRangeB[i] = true; // 符號不同或極端
-                }
-            }
-            // 計算 a 係數滑桿 (a0 恆為 1, 從 a1 開始)
-            for (let i = 1; i < 7; i++) {
-                const val = currentA[i] || 0;
-                const base = this.baseA[i] || 0;
-                this.outOfRangeA[i] = false;
-                if (base !== 0 && val !== 0 && (val / base) > 0) {
-                    let logVal = Math.log10(val / base);
-                    if (Math.abs(logVal) < 1e-12) logVal = 0; // 消除浮點數微小誤差
-                    if (Math.abs(logVal) > this.maxLogA) this.outOfRangeA[i] = true;
-                    this.aSliders[i] = Math.max(-this.maxLogA, Math.min(this.maxLogA, logVal));
-                } else {
-                    this.aSliders[i] = 0;
-                    if (val !== 0 && base !== 0) this.outOfRangeA[i] = true;
-                }
-            }
-        },
-        debouncedUpdateFromText(type) {
-            if (type === 'b') this.b_str = this.b_str.replace(/[^0-9,.\-\s]/g, '');
-            if (type === 'a') this.a_str = this.a_str.replace(/[^0-9,.\-\s]/g, '');
-
-            // 當文字改變時，反向計算滑桿位置
-            this.calcSlidersFromText();
-            this.debouncedUpdateBode();
-        },
-        onlyNumberKey(e, allowDot = true) {
-            // 允許的控制鍵
-            const allowedKeys = ['Backspace', 'Delete', 'ArrowLeft', 'ArrowRight', 'Tab', 'Enter', 'Home', 'End'];
-            if (allowedKeys.includes(e.key) || e.ctrlKey || e.metaKey) return;
-
-            // 檢查字元是否合法
-            const charRegex = allowDot ? /[0-9,.\-\s]/ : /[0-9,\-\s]/;
-            if (!charRegex.test(e.key)) {
-                e.preventDefault();
-            }
-        },
-        updateFromFixed(idx, type, val) {
-            const intVal = parseInt(val);
-            if (isNaN(intVal)) return;
-            this.fixedOverrides[type][idx] = intVal;
-            this.updateBodePlot({ switchToChart: false });
-        },
-        clearFixedOverrides(type = null) {
-            if (type === 'a' || type === 'b') {
-                this.fixedOverrides[type] = {};
-                return;
-            }
-            this.fixedOverrides = { a: {}, b: {} };
-        },
-        resetFixedPointSettings() {
-            this.shiftBitsB = DEFAULT_SHIFT_BITS;
-            this.shiftBitsA = DEFAULT_SHIFT_BITS;
-            this.fixedAFineStep = 1;
-            this.clearFixedOverrides();
-            this.updateBodePlot({ switchToChart: false });
-        },
-        onFsChange() {
-            if (this.filterType !== MANUAL_FILTER_TYPE) {
-                this.applyFilterDesign();
-            } else {
-                this.updateBodePlot({ switchToChart: false });
-            }
-        },
-        debouncedApply() {
-            clearTimeout(this.bodeTimeout);
-            this.bodeTimeout = setTimeout(() => {
-                if (this.filterType !== MANUAL_FILTER_TYPE) this.applyFilterDesign();
-                else this.updateBodePlot({ switchToChart: false });
-            }, 300);
-        },
-        debouncedUpdateBode() {
-            clearTimeout(this.bodeTimeout);
-            this.bodeTimeout = setTimeout(() => this.updateBodePlot({ switchToChart: false }), 150);
-        },
-        onGainChange() {
-            this.updateFromControls();
-            this.debouncedUpdateBode();
-        },
-        onFilterTypeChange() {
-            this.systemGain = 1.0;
-            // 這裡可以選擇是否重設所有設計參數 (fc, Q 等)
-            // 根據使用者要求「載入預設值」，我們呼叫重設邏輯
-            this.clearFixedOverrides();
-            this.bSliders = zero7();
-            this.aSliders = zero7();
-            this.outOfRangeB = [false, false, false, false, false, false, false];
-            this.outOfRangeA = [false, false, false, false, false, false, false];
-            this.showAdvancedAdjustment = false;
-            this.activeCoeffAdjustment = null;
-            if (this.filterType !== MANUAL_FILTER_TYPE) {
-                this.params = cloneDefaultParams();
-            }
-            this.applyFilterDesign();
-        },
-        resetFilterParams() {
-            clearTimeout(this.bodeTimeout);
-            this.fs = DEFAULT_FS;
-            this.filterType = DEFAULT_FILTER_TYPE;
-            this.systemGain = 1.0;
-            this.params = cloneDefaultParams();
-            this.b_str = DEFAULT_B_STR;
-            this.a_str = DEFAULT_A_STR;
-            this.baseB = this.padTo7(this.parseCoeffs(DEFAULT_B_STR));
-            this.baseA = this.padTo7(this.parseCoeffs(DEFAULT_A_STR));
-            this.clearFixedOverrides();
-            this.bSliders = zero7();
-            this.aSliders = zero7();
-            this.outOfRangeB = [false, false, false, false, false, false, false];
-            this.outOfRangeA = [false, false, false, false, false, false, false];
-            this.sense_b = '2x';
-            this.sense_a = '2x';
-            this.shiftBitsB = DEFAULT_SHIFT_BITS;
-            this.shiftBitsA = DEFAULT_SHIFT_BITS;
-            this.aFineStep = 0.01;
-            this.fixedAFineStep = 1;
-            this.stopA1A2Repeat();
-            this.stopAFineDrag();
-            this.stopFixedA1A2Repeat();
-            this.stopFixedAFineDrag();
-            this.stopShiftBitRepeat();
-            this.stopShiftBitDrag();
-            this.showAdvancedAdjustment = false;
-            this.activeCoeffAdjustment = null;
-            this.globalError = null;
-            this.applyFilterDesign();
-        },
-        async applyFilterDesign() {
-            if (this.filterType === MANUAL_FILTER_TYPE) return;
-            this.globalError = null;
-            try {
-                const payload = {
-                    filter_type: this.filterType, fs: this.fs,
-                    lp_fc: this.params.fc, lp_order: this.params.order,
-                    hp_fc: this.params.fc, hp_order: this.params.order,
-                    bp_f_low: this.params.bp_f_low, bp_f_high: this.params.bp_f_high, bp_order: this.params.bp_order,
-                    notch_f0: this.params.notch_f0, notch_q: this.params.notch_q,
-                    opoz_fz: this.params.opoz_fz, opoz_fp: this.params.opoz_fp,
-                    tp1z_fz: this.params.tp1z_fz, tp1z_fp1: this.params.tp1z_fp1, tp1z_fp2: this.params.tp1z_fp2,
-                    tptz_fz1: this.params.tptz_fz1, tptz_fz2: this.params.tptz_fz2,
-                    tptz_fp1: this.params.tptz_fp1, tptz_fp2: this.params.tptz_fp2,
-                    pid_kp: this.params.kp, pid_ki: this.params.ki, pid_kd: this.params.kd,
-                    sogi_f0: this.params.sogi_f0, sogi_k: this.params.sogi_k
-                };
-                const res = await fetch('/api/design', {
-                    method: 'POST', headers: { 'Content-Type': 'application/json' },
-                    body: JSON.stringify(payload)
-                });
-                if (!res.ok) { const err = await res.json(); throw new Error(err.detail || '設計濾波器失敗'); }
-                const data = await res.json();
-                // 1. 將後端傳回的單位增益係數存入 baseB
-                this.baseB = this.padTo7(data.b);
-                this.baseA = this.padTo7(data.a);
-                this.baseA[0] = 1.0;
-
-                // 2. 重新計算含增益的文字框顯示與滑桿位置
-                this.bSliders = [0, 0, 0, 0, 0, 0, 0];
-                this.aSliders = [0, 0, 0, 0, 0, 0, 0];
-                this.showAdvancedAdjustment = false;
-                this.activeCoeffAdjustment = null;
-                this.updateFromControls();
-
-                // 3. 更新圖表
-                this.updateBodePlot({ switchToChart: false });
-            } catch (e) { this.globalError = e.message; }
-        },
-        async updateBodePlot({ switchToChart = true } = {}) {
-            this.loadingBode = true;
-            this.globalError = null;
-            try {
-                let b_ideal = this.parseCoeffs(this.b_str);
-                let a_ideal = this.parseCoeffs(this.a_str);
-                if (b_ideal.length === 0) b_ideal = [1.0];
-                if (a_ideal.length === 0) a_ideal = [1.0];
-
-                const scaleB = Math.pow(2, this.shiftBitsB);
-                const scaleA = Math.pow(2, this.shiftBitsA);
-                const b_fixed = b_ideal.map((x, i) => {
-                    const intVal = (this.fixedOverrides.b[i] !== undefined) ? this.fixedOverrides.b[i] : Math.round(x * scaleB);
-                    return intVal / scaleB;
-                });
-                const a_fixed = a_ideal.map((x, i) => {
-                    const intVal = (this.fixedOverrides.a[i] !== undefined) ? this.fixedOverrides.a[i] : Math.round(x * scaleA);
-                    return intVal / scaleA;
-                });
-
-                const [resIdeal, resFixed] = await Promise.all([
-                    fetch('/api/bode', {
-                        method: 'POST', headers: { 'Content-Type': 'application/json' },
-                        body: JSON.stringify({ b: b_ideal, a: a_ideal, fs: this.fs })
-                    }),
-                    fetch('/api/bode', {
-                        method: 'POST', headers: { 'Content-Type': 'application/json' },
-                        body: JSON.stringify({ b: b_fixed, a: a_fixed, fs: this.fs })
-                    })
-                ]);
-
-                if (!resIdeal.ok || !resFixed.ok) throw new Error('無法計算頻率響應');
-
-                const dataIdeal = await resIdeal.json();
-                const dataFixed = await resFixed.json();
-
-                this.drawBodePlot(dataIdeal.freq, dataIdeal.mag, dataIdeal.phase, dataFixed.mag, dataFixed.phase);
-                // 手機版：計算完成後自動切換到圖表頁籤
-                if (switchToChart && window.innerWidth < 1024) this.mobileTab = 'chart';
-            } catch (e) { this.globalError = e.message; }
-            finally { this.loadingBode = false; }
-        },
-        drawBodePlot(freq, magIdeal, phaseIdeal, magFixed, phaseFixed) {
-            const fs = this.fs;
-            const fMin = freq[0], fMax = freq[freq.length - 1];
-            const isDark = this.isDarkMode;
-            const isSmallScreen = window.innerWidth < 768;
-
-            // 產生 1-2-5 刻度
-            const xTicks = [], xTexts = [];
-            const pStart = Math.floor(Math.log10(fMin));
-            const pEnd = Math.ceil(Math.log10(fMax));
-            for (let p = pStart; p <= pEnd; p++) {
-                for (const m of [1, 2, 5]) {
-                    const val = m * Math.pow(10, p);
-                    if (val < fMin || val > fMax) continue;
-                    xTicks.push(val);
-                    if (val < 1) xTexts.push(val.toPrecision(3));
-                    else if (val < 1000) xTexts.push(String(val));
-                    else if (val < 1000000) xTexts.push((val / 1000) + 'k');
-                    else xTexts.push((val / 1000000) + 'M');
-                }
-            }
-
-            // Nyquist & fs 標線 (shapes)
-            const shapes = [];
-            const annotations = [];
-            const addVLine = (xVal, text, row) => {
-                const yref = row === 1 ? 'y' : 'y2';
-                shapes.push({
-                    type: 'line', x0: xVal, x1: xVal, y0: 0, y1: 1,
-                    xref: row === 1 ? 'x' : 'x2', yref: yref + ' domain',
-                    line: { color: isDark ? 'rgba(230,184,180,0.72)' : 'rgba(162,95,91,0.72)', width: 1.4, dash: 'dash' }
-                });
-                if (text) {
-                    annotations.push({
-                        x: Math.log10(xVal), y: 1, text: text,
-                        xref: row === 1 ? 'x' : 'x2', yref: yref + ' domain',
-                        showarrow: false, font: { color: isDark ? '#e6b8b4' : '#a25f5b', size: isSmallScreen ? 10 : 12 },
-                        yshift: isSmallScreen ? 15 : 12,
-                        xanchor: 'center',
-                        yanchor: isSmallScreen ? 'middle' : 'bottom',
-                        textangle: isSmallScreen ? -90 : 0
-                    });
-                }
-            };
-            addVLine(fs / 2, 'Nyquist', 1);
-            addVLine(fs, 'fs', 1);
-            addVLine(fs / 2, null, 2);
-            addVLine(fs, null, 2);
-
-            // 10 的倍數強化線
-            for (let p = pStart; p <= pEnd; p++) {
-                const v = Math.pow(10, p);
-                if (v >= fMin && v <= fMax) {
-                    const gridColor = isDark ? 'rgba(199,206,193,0.24)' : 'rgba(101,120,104,0.16)';
-                    shapes.push(
-                        { type: 'line', x0: v, x1: v, y0: 0, y1: 1, xref: 'x', yref: 'y domain', line: { color: gridColor, width: 1.5 } },
-                        { type: 'line', x0: v, x1: v, y0: 0, y1: 1, xref: 'x2', yref: 'y2 domain', line: { color: gridColor, width: 1.5 } }
-                    );
-                }
-            }
-
-            const gridColor = isDark ? 'rgba(199,206,193,0.14)' : 'rgba(101,120,104,0.09)';
-            const zeroLineColor = isDark ? 'rgba(199,206,193,0.24)' : 'rgba(70,75,67,0.20)';
-            const textColor = isDark ? '#c7cec1' : '#42483f';
-            const titleColor = isDark ? '#e5e9df' : '#1b1d19';
-            const plotBgColor = isDark ? '#0b0e0a' : '#ffffff';
-
-            const xAxisCommon = {
-                type: 'log', title: { text: 'Freq (Hz)', font: { size: isSmallScreen ? 12 : 14 } },
-                range: [Math.log10(fMin), Math.log10(fMax)],
-                tickvals: xTicks, ticktext: xTexts,
-                showgrid: true, gridcolor: gridColor,
-                tickfont: { color: textColor, size: isSmallScreen ? 11 : 12 },
-                nticks: isSmallScreen ? 6 : 10
-            };
-
-            const layout = {
-                paper_bgcolor: plotBgColor, plot_bgcolor: plotBgColor,
-                margin: isSmallScreen ? { t: 80, b: 120, l: 55, r: 15 } : { t: 70, b: 120, l: 70, r: 30 },
-                showlegend: false,
-                grid: { rows: 2, columns: 1, pattern: 'independent', roworder: 'top to bottom', ygap: isSmallScreen ? 0.35 : 0.3 },
-                font: { color: textColor, family: 'Google Sans, Roboto, sans-serif' },
-                annotations: [
-                    { text: 'Magnitude Response (dB)', xref: 'x domain', yref: 'y domain', x: 0.5, y: isSmallScreen ? 1.25 : 1.15, showarrow: false, font: { size: isSmallScreen ? 14 : 16, color: titleColor, weight: 'bold' } },
-                    { text: 'Phase Response (Deg)', xref: 'x2 domain', yref: 'y2 domain', x: 0.5, y: isSmallScreen ? 1.25 : 1.15, showarrow: false, font: { size: isSmallScreen ? 14 : 16, color: titleColor, weight: 'bold' } },
-
-                    // 手動 Magnitude 圖例 (位於上方圖表下方)
-                    { xref: 'paper', yref: 'paper', x: 0.35, y: isSmallScreen ? 0.52 : 0.54, text: '一一一', font: { color: isDark ? '#b7c9b8' : '#657868', size: 10 }, showarrow: false },
-                    { xref: 'paper', yref: 'paper', x: 0.42, y: isSmallScreen ? 0.52 : 0.54, text: 'Ideal (Float)', font: { color: textColor, size: 11 }, showarrow: false, xanchor: 'left' },
-                    { xref: 'paper', yref: 'paper', x: 0.58, y: isSmallScreen ? 0.52 : 0.54, text: '· · · ·', font: { color: isDark ? '#c6cbbf' : '#73786f', size: 14 }, showarrow: false },
-                    { xref: 'paper', yref: 'paper', x: 0.63, y: isSmallScreen ? 0.52 : 0.54, text: `Fixed (b Q${this.shiftBitsB}, a Q${this.shiftBitsA})`, font: { color: textColor, size: 11 }, showarrow: false, xanchor: 'left' },
-
-                    // 手動 Phase 圖例 (位於下方圖表下方)
-                    { xref: 'paper', yref: 'paper', x: 0.35, y: -0.15, text: '一一一', font: { color: isDark ? '#d4c5aa' : '#877b68', size: 10 }, showarrow: false },
-                    { xref: 'paper', yref: 'paper', x: 0.42, y: -0.15, text: 'Ideal Phase', font: { color: textColor, size: 11 }, showarrow: false, xanchor: 'left' },
-                    { xref: 'paper', yref: 'paper', x: 0.58, y: -0.15, text: '· · · ·', font: { color: isDark ? '#e6b8b4' : '#a25f5b', size: 14 }, showarrow: false },
-                    { xref: 'paper', yref: 'paper', x: 0.63, y: -0.15, text: 'Fixed Phase', font: { color: textColor, size: 11 }, showarrow: false, xanchor: 'left' },
-
-                    ...annotations
-                ],
-                xaxis: { ...xAxisCommon },
-                yaxis: { title: { text: 'Mag (dB)', font: { size: isSmallScreen ? 12 : 14 } }, range: [-60, 0], gridcolor: gridColor, zerolinecolor: zeroLineColor, tickfont: { color: textColor, size: isSmallScreen ? 11 : 12 } },
-                xaxis2: { ...xAxisCommon },
-                yaxis2: { title: { text: 'Phase (°)', font: { size: isSmallScreen ? 12 : 14 } }, range: [-180, 180], tickvals: [-180, -90, 0, 90, 180], gridcolor: gridColor, zerolinecolor: zeroLineColor, tickfont: { color: textColor, size: isSmallScreen ? 11 : 12 } },
-                shapes: shapes
-            };
-
-            const traceMagIdeal = { x: freq, y: magIdeal, name: 'Ideal (Float)', type: 'scatter', line: { color: isDark ? '#b7c9b8' : '#657868', width: 2.8 } };
-            const traceMagFixed = { x: freq, y: magFixed, name: `Fixed (b Q${this.shiftBitsB}, a Q${this.shiftBitsA})`, type: 'scatter', line: { color: isDark ? '#c6cbbf' : '#73786f', width: 2.4, dash: 'dot' } };
-
-            const tracePhaseIdeal = { x: freq, y: phaseIdeal, name: 'Ideal Phase', type: 'scatter', line: { color: isDark ? '#d4c5aa' : '#877b68', width: 2.8 }, xaxis: 'x2', yaxis: 'y2' };
-            const tracePhaseFixed = { x: freq, y: phaseFixed, name: 'Fixed Phase', type: 'scatter', line: { color: isDark ? '#e6b8b4' : '#a25f5b', width: 2.4, dash: 'dot' }, xaxis: 'x2', yaxis: 'y2' };
-
-            Plotly.react('bodePlot', [traceMagIdeal, traceMagFixed, tracePhaseIdeal, tracePhaseFixed], layout, { responsive: true });
-        },
-
-        parseCsvText(text, maxRows = Infinity) {
-            const rows = [];
-            let row = [];
-            let field = '';
-            let inQuotes = false;
-            let totalRows = 0;
-
-            const finishRow = () => {
-                row.push(field);
-                if (row.some(value => value.trim() !== '')) {
-                    totalRows++;
-                    if (rows.length < maxRows) rows.push(row);
-                }
-                row = [];
-                field = '';
-            };
-
-            for (let i = 0; i < text.length; i++) {
-                const char = text[i];
-                const next = text[i + 1];
-
-                if (char === '"') {
-                    if (inQuotes && next === '"') {
-                        field += '"';
-                        i++;
-                    } else {
-                        inQuotes = !inQuotes;
-                    }
-                } else if (char === ',' && !inQuotes) {
-                    row.push(field);
-                    field = '';
-                } else if ((char === '\n' || char === '\r') && !inQuotes) {
-                    if (char === '\r' && next === '\n') i++;
-                    finishRow();
-                } else {
-                    field += char;
-                }
-            }
-
-            if (inQuotes) throw new Error('CSV 引號未正確結束');
-            finishRow();
-            return { rows, totalRows };
-        },
-
-        resetCsvState() {
-            this.csvFile = null;
-            this.csvColumns = [];
-            this.csvPreview = [];
-            this.csvInfo = null;
-            this.csvParseError = null;
-            this.selectedColumn = 0;
-            this.filterDone = false;
-            this.timePlotData = null;
-        },
-
-        handleFileUpload(event) {
-            const file = event.target.files[0];
-            this.resetCsvState();
-            if (!file) return;
-
-            const maxBytes = 32 * 1024 * 1024;
-            const fileName = file.name || '';
-            if (!fileName.toLowerCase().endsWith('.csv')) {
-                this.csvParseError = '請選擇 .csv 檔案';
-                event.target.value = '';
-                return;
-            }
-            if (file.size > maxBytes) {
-                this.csvParseError = 'CSV 檔案不可超過 32MB';
-                event.target.value = '';
-                return;
-            }
-
-            const reader = new FileReader();
-            reader.onload = (e) => {
-                try {
-                    const text = String(e.target.result || '').replace(/^\uFEFF/, '');
-                    const { rows, totalRows } = this.parseCsvText(text, 6);
-                    if (totalRows < 2 || rows.length < 2) throw new Error('CSV 需包含標題列與至少一筆資料');
-
-                    const columns = rows[0].map((value, index) => {
-                        const label = value.trim();
-                        return label || `Column ${index + 1}`;
-                    });
-                    if (columns.length === 0) throw new Error('CSV 標題列不可為空');
-
-                    this.csvFile = file;
-                    this.csvColumns = columns;
-                    this.csvPreview = rows.slice(1, 6).map(row => {
-                        const padded = row.slice(0, columns.length);
-                        while (padded.length < columns.length) padded.push('');
-                        return padded.map(value => value.trim());
-                    });
-                    this.csvInfo = {
-                        rows: Math.max(totalRows - 1, 0),
-                        columns: columns.length,
-                        size: file.size,
-                    };
-                    this.selectedColumn = 0;
-                    if (columns.length > 1) {
-                        const first = columns[0].toLowerCase();
-                        if (['time', 't', 'sec', 'x', 'index', 'unnamed'].some(kw => first.includes(kw))) {
-                            this.selectedColumn = 1;
-                        }
-                    }
-                } catch (err) {
-                    this.csvParseError = err.message || 'CSV 解析失敗';
-                    this.csvColumns = [];
-                    this.csvPreview = [];
-                    this.csvInfo = null;
-                    event.target.value = '';
-                }
-            };
-            reader.onerror = () => {
-                this.csvParseError = 'CSV 讀取失敗';
-                event.target.value = '';
-            };
-            reader.readAsText(file);
-        },
-
-        async processFilter() {
-            if (!this.csvFile) return;
-            this.loadingFilter = true;
-            this.globalError = null;
-            const formData = new FormData();
-            formData.append('file', this.csvFile);
-            formData.append('b', this.b_str);
-            formData.append('a', this.a_str);
-            formData.append('col_idx', this.selectedColumn);
-            try {
-                const res = await fetch('/api/filter', { method: 'POST', body: formData });
-                if (!res.ok) { const err = await res.json(); throw new Error(err.detail || '濾波處理失敗'); }
-                const data = await res.json();
-                this.timePlotData = data;
-                this.filterDone = true;
-                // 確保在可見狀態下繪圖，避免 Plotly 計算尺寸錯誤
-                this.$nextTick(() => {
-                    this.drawTimePlot(data);
-                });
-            } catch (e) { this.globalError = e.message; }
-            finally { this.loadingFilter = false; }
-        },
-
-        drawTimePlot(data) {
-            const isDark = this.isDarkMode;
-            const isSmallScreen = window.innerWidth < 768;
-            const gridColor = isDark ? 'rgba(199,206,193,0.14)' : 'rgba(101,120,104,0.09)';
-            const zeroLineColor = isDark ? 'rgba(199,206,193,0.24)' : 'rgba(70,75,67,0.20)';
-            const textColor = isDark ? '#c7cec1' : '#42483f';
-            const plotBgColor = isDark ? '#0b0e0a' : '#ffffff';
-
-            const layout = {
-                paper_bgcolor: plotBgColor, plot_bgcolor: plotBgColor,
-                margin: isSmallScreen ? { t: 60, b: 60, l: 45, r: 15 } : { t: 40, b: 55, l: 60, r: 20 },
-                font: { color: textColor, family: 'Google Sans, Roboto, sans-serif' },
-                xaxis: { title: { text: 'Sample Index', font: { size: isSmallScreen ? 10 : 11 } }, gridcolor: gridColor, zerolinecolor: zeroLineColor, tickfont: { color: textColor, size: isSmallScreen ? 9 : 11 } },
-                yaxis: { title: { text: 'Amplitude', font: { size: isSmallScreen ? 10 : 11 } }, gridcolor: gridColor, zerolinecolor: zeroLineColor, tickfont: { color: textColor, size: isSmallScreen ? 9 : 11 } },
-                legend: { orientation: 'h', y: 1.02, yanchor: 'bottom', x: 1, xanchor: 'right', font: { color: textColor, size: isSmallScreen ? 9 : 10 } }
-            };
-            Plotly.react('timePlot', [
-                { x: data.index, y: data.original, name: '原始輸入訊號 (Input)', type: 'scatter', line: { color: isDark ? '#b7c9b8' : '#657868', width: 2.4 }, opacity: 0.9 },
-                { x: data.index, y: data.filtered, name: '濾波後輸出 (Output)', type: 'scatter', line: { color: isDark ? '#c6cbbf' : '#73786f', width: 2.4 }, opacity: 0.95 }
-            ], layout, { responsive: true });
-        },
-
-        async downloadCsv() {
-            if (!this.csvFile) return;
-            const formData = new FormData();
-            formData.append('file', this.csvFile);
-            formData.append('b', this.b_str);
-            formData.append('a', this.a_str);
-            formData.append('col_idx', this.selectedColumn);
-            try {
-                const res = await fetch('/api/filter/download', { method: 'POST', body: formData });
-                if (!res.ok) throw new Error('下載失敗');
-                const blob = await res.blob();
-                const url = window.URL.createObjectURL(blob);
-                const a = document.createElement('a');
-                a.href = url; a.download = 'filtered_output.csv';
-                document.body.appendChild(a); a.click();
-                window.URL.revokeObjectURL(url);
-            } catch (e) { this.globalError = e.message; }
-        }
-    }
-}
+            const tracePhaseIdeal = { x: freq, y: phaseIdeal, name: 'Ideal Phase', type: 'scatter', line: { color: isDark ? '#64d2ff' : '#2d6f8f', width: 2.8 }, xaxis: 'x2', yaxis: 'y2' };
+            const tracePhaseFixed = { x: freq, y: phaseFixed, name: 'Fixed Phase', type: 'scatter', line: { color: isDark ? '#ff9bd8' : '#96527b', width: 2.4, dash: 'dot' }, xaxis: 'x2', yaxis: 'y2' };
+
+            Plotly.react('bodePlot', [traceMagIdeal, traceMagFixed, tracePhaseIdeal, tracePhaseFixed], layout, { responsive: true });
+        },
+
+        parseCsvText(text, maxRows = Infinity) {
+            const rows = [];
+            let row = [];
+            let field = '';
+            let inQuotes = false;
+            let totalRows = 0;
+
+            const finishRow = () => {
+                row.push(field);
+                if (row.some(value => value.trim() !== '')) {
+                    totalRows++;
+                    if (rows.length < maxRows) rows.push(row);
+                }
+                row = [];
+                field = '';
+            };
+
+            for (let i = 0; i < text.length; i++) {
+                const char = text[i];
+                const next = text[i + 1];
+
+                if (char === '"') {
+                    if (inQuotes && next === '"') {
+                        field += '"';
+                        i++;
+                    } else {
+                        inQuotes = !inQuotes;
+                    }
+                } else if (char === ',' && !inQuotes) {
+                    row.push(field);
+                    field = '';
+                } else if ((char === '\n' || char === '\r') && !inQuotes) {
+                    if (char === '\r' && next === '\n') i++;
+                    finishRow();
+                } else {
+                    field += char;
+                }
+            }
+
+            if (inQuotes) throw new Error('CSV 引號未正確結束');
+            finishRow();
+            return { rows, totalRows };
+        },
+
+        resetCsvState() {
+            this.csvFile = null;
+            this.csvColumns = [];
+            this.csvPreview = [];
+            this.csvInfo = null;
+            this.csvParseError = null;
+            this.selectedColumn = 0;
+            this.filterDone = false;
+            this.timePlotData = null;
+        },
+
+        handleFileUpload(event) {
+            const file = event.target.files[0];
+            this.resetCsvState();
+            if (!file) return;
+
+            const maxBytes = 32 * 1024 * 1024;
+            const fileName = file.name || '';
+            if (!fileName.toLowerCase().endsWith('.csv')) {
+                this.csvParseError = '請選擇 .csv 檔案';
+                event.target.value = '';
+                return;
+            }
+            if (file.size > maxBytes) {
+                this.csvParseError = 'CSV 檔案不可超過 32MB';
+                event.target.value = '';
+                return;
+            }
+
+            const reader = new FileReader();
+            reader.onload = (e) => {
+                try {
+                    const text = String(e.target.result || '').replace(/^\uFEFF/, '');
+                    const { rows, totalRows } = this.parseCsvText(text, 6);
+                    if (totalRows < 2 || rows.length < 2) throw new Error('CSV 需包含標題列與至少一筆資料');
+
+                    const columns = rows[0].map((value, index) => {
+                        const label = value.trim();
+                        return label || `Column ${index + 1}`;
+                    });
+                    if (columns.length === 0) throw new Error('CSV 標題列不可為空');
+
+                    this.csvFile = file;
+                    this.csvColumns = columns;
+                    this.csvPreview = rows.slice(1, 6).map(row => {
+                        const padded = row.slice(0, columns.length);
+                        while (padded.length < columns.length) padded.push('');
+                        return padded.map(value => value.trim());
+                    });
+                    this.csvInfo = {
+                        rows: Math.max(totalRows - 1, 0),
+                        columns: columns.length,
+                        size: file.size,
+                    };
+                    this.selectedColumn = 0;
+                    if (columns.length > 1) {
+                        const first = columns[0].toLowerCase();
+                        if (['time', 't', 'sec', 'x', 'index', 'unnamed'].some(kw => first.includes(kw))) {
+                            this.selectedColumn = 1;
+                        }
+                    }
+                } catch (err) {
+                    this.csvParseError = err.message || 'CSV 解析失敗';
+                    this.csvColumns = [];
+                    this.csvPreview = [];
+                    this.csvInfo = null;
+                    event.target.value = '';
+                }
+            };
+            reader.onerror = () => {
+                this.csvParseError = 'CSV 讀取失敗';
+                event.target.value = '';
+            };
+            reader.readAsText(file);
+        },
+
+        async processFilter() {
+            if (!this.csvFile) return;
+            this.loadingFilter = true;
+            this.globalError = null;
+            const formData = new FormData();
+            formData.append('file', this.csvFile);
+            formData.append('b', this.b_str);
+            formData.append('a', this.a_str);
+            formData.append('col_idx', this.selectedColumn);
+            try {
+                const res = await fetch('/api/filter', { method: 'POST', body: formData });
+                if (!res.ok) { const err = await res.json(); throw new Error(err.detail || '濾波處理失敗'); }
+                const data = await res.json();
+                this.timePlotData = data;
+                this.filterDone = true;
+                // 確保在可見狀態下繪圖，避免 Plotly 計算尺寸錯誤
+                this.$nextTick(() => {
+                    this.drawTimePlot(data);
+                });
+            } catch (e) { this.globalError = e.message; }
+            finally { this.loadingFilter = false; }
+        },
+
+        drawTimePlot(data) {
+            const isDark = this.isDarkMode;
+            const isSmallScreen = window.innerWidth < 768;
+            const gridColor = isDark ? 'rgba(200,206,224,0.14)' : 'rgba(86,96,117,0.09)';
+            const zeroLineColor = isDark ? 'rgba(200,206,224,0.24)' : 'rgba(82,86,99,0.20)';
+            const textColor = isDark ? '#b4b4bd' : '#525663';
+            const plotBgColor = isDark ? '#090a0d' : '#ffffff';
+
+            const layout = {
+                paper_bgcolor: plotBgColor, plot_bgcolor: plotBgColor,
+                margin: isSmallScreen ? { t: 60, b: 60, l: 45, r: 15 } : { t: 40, b: 55, l: 60, r: 20 },
+                font: { color: textColor, family: 'Google Sans, Roboto, sans-serif' },
+                xaxis: { title: { text: 'Sample Index', font: { size: isSmallScreen ? 10 : 11 } }, gridcolor: gridColor, zerolinecolor: zeroLineColor, tickfont: { color: textColor, size: isSmallScreen ? 9 : 11 } },
+                yaxis: { title: { text: 'Amplitude', font: { size: isSmallScreen ? 10 : 11 } }, gridcolor: gridColor, zerolinecolor: zeroLineColor, tickfont: { color: textColor, size: isSmallScreen ? 9 : 11 } },
+                legend: { orientation: 'h', y: 1.02, yanchor: 'bottom', x: 1, xanchor: 'right', font: { color: textColor, size: isSmallScreen ? 9 : 10 } }
+            };
+            Plotly.react('timePlot', [
+                { x: data.index, y: data.original, name: '原始輸入訊號 (Input)', type: 'scatter', line: { color: isDark ? '#c8cee0' : '#566075', width: 2.4 }, opacity: 0.9 },
+                { x: data.index, y: data.filtered, name: '濾波後輸出 (Output)', type: 'scatter', line: { color: isDark ? '#64d2ff' : '#2d6f8f', width: 2.4 }, opacity: 0.95 }
+            ], layout, { responsive: true });
+        },
+
+        async downloadCsv() {
+            if (!this.csvFile) return;
+            const formData = new FormData();
+            formData.append('file', this.csvFile);
+            formData.append('b', this.b_str);
+            formData.append('a', this.a_str);
+            formData.append('col_idx', this.selectedColumn);
+            try {
+                const res = await fetch('/api/filter/download', { method: 'POST', body: formData });
+                if (!res.ok) throw new Error('下載失敗');
+                const blob = await res.blob();
+                const url = window.URL.createObjectURL(blob);
+                const a = document.createElement('a');
+                a.href = url; a.download = 'filtered_output.csv';
+                document.body.appendChild(a); a.click();
+                window.URL.revokeObjectURL(url);
+            } catch (e) { this.globalError = e.message; }
+        }
+    }
+}
diff --git a/src/style.css b/src/style.css
index 8498e5e..cbd0f79 100755
--- a/src/style.css
+++ b/src/style.css
@@ -4,36 +4,42 @@
 @tailwind components;
 @tailwind utilities;
 
-/* Morandi green hierarchy. Feature colors are expressed through role classes only. */
+/* Pixel M3E hierarchy. Feature colors are expressed through role classes only. */
 :root {
-    --m3-primary: #657868;
+    --m3-primary: #566075;
     --m3-on-primary: #ffffff;
-    --m3-primary-container: #dce7dc;
-    --m3-on-primary-container: #1b2a1f;
-    --m3-secondary: #73786f;
+    --m3-primary-container: #d8deef;
+    --m3-on-primary-container: #202637;
+    --m3-secondary: #5e6472;
     --m3-on-secondary: #ffffff;
-    --m3-secondary-container: #e2e6dc;
-    --m3-on-secondary-container: #20251f;
-    --m3-tertiary: #877b68;
+    --m3-secondary-container: #e1e5f0;
+    --m3-on-secondary-container: #242832;
+    --m3-tertiary: #7a6689;
     --m3-on-tertiary: #ffffff;
-    --m3-tertiary-container: #ece2d2;
-    --m3-on-tertiary-container: #2d261a;
-    --m3-error: #a25f5b;
+    --m3-tertiary-container: #f0dcff;
+    --m3-on-tertiary-container: #30203d;
+    --m3-error: #b3261e;
     --m3-on-error: #ffffff;
-    --m3-error-container: #f2ddda;
-    --m3-warning: #806b43;
-    --m3-warning-container: #f0e4c7;
-    --m3-background: #fbfcf8;
-    --m3-surface: #fbfcf8;
+    --m3-error-container: #f9dedc;
+    --m3-success: #2e7d61;
+    --m3-success-container: #cceede;
+    --m3-warning: #8c6d1f;
+    --m3-warning-container: #f5e4b2;
+    --m3-accent-cyan: #64d2ff;
+    --m3-accent-pink: #ff9bd8;
+    --m3-accent-orange: #ffb879;
+    --m3-accent-lavender: #b9b2ff;
+    --m3-background: #f6f7fb;
+    --m3-surface: #f6f7fb;
     --m3-surface-container-lowest: #ffffff;
-    --m3-surface-container-low: #f4f7ef;
-    --m3-surface-container: #edf1e8;
-    --m3-surface-container-high: #e4e9de;
-    --m3-surface-container-highest: #dbe2d5;
-    --m3-on-surface: #1b1d19;
-    --m3-on-surface-variant: #464b43;
-    --m3-outline: #747b70;
-    --m3-outline-variant: #c9d0c3;
+    --m3-surface-container-low: #eff1f7;
+    --m3-surface-container: #e7e9f1;
+    --m3-surface-container-high: #dde1ec;
+    --m3-surface-container-highest: #d1d7e6;
+    --m3-on-surface: #17191f;
+    --m3-on-surface-variant: #525663;
+    --m3-outline: #747987;
+    --m3-outline-variant: #c3c8d4;
     --m3-divider: color-mix(in srgb, var(--m3-outline-variant) 78%, transparent);
     --m3-soft-outline: color-mix(in srgb, var(--m3-outline-variant) 88%, transparent);
     --m3-input-outline: color-mix(in srgb, var(--m3-outline) 82%, transparent);
@@ -41,41 +47,58 @@
     --m3-secondary-state: color-mix(in srgb, var(--m3-secondary) 12%, transparent);
     --m3-tertiary-state: color-mix(in srgb, var(--m3-tertiary) 12%, transparent);
     --m3-warning-state: color-mix(in srgb, var(--m3-warning) 12%, transparent);
-    --m3-shadow: 0 1px 2px rgba(29, 27, 32, 0.14), 0 2px 6px rgba(29, 27, 32, 0.10);
-    --m3-elevated-shadow: 0 3px 8px rgba(29, 27, 32, 0.13), 0 12px 24px rgba(29, 27, 32, 0.08);
+    --m3-shadow: 0 1px 2px rgba(15, 18, 26, 0.10), 0 8px 18px rgba(15, 18, 26, 0.08);
+    --m3-elevated-shadow: 0 8px 22px rgba(15, 18, 26, 0.12), 0 18px 36px rgba(15, 18, 26, 0.10);
+    --background: var(--m3-background);
+    --surface: var(--m3-surface-container);
+    --surfaceHigh: var(--m3-surface-container-high);
+    --primary: var(--m3-primary);
+    --onPrimary: var(--m3-on-primary);
+    --textPrimary: var(--m3-on-surface);
+    --textSecondary: var(--m3-on-surface-variant);
+    --border: var(--m3-outline-variant);
+    --danger: var(--m3-error);
+    --success: var(--m3-success);
+    --warning: var(--m3-warning);
 }
 
 .dark {
-    --m3-primary: #b7c9b8;
-    --m3-on-primary: #243429;
-    --m3-primary-container: #3f5745;
-    --m3-on-primary-container: #dce7dc;
-    --m3-secondary: #c6cbbf;
-    --m3-on-secondary: #2e332b;
-    --m3-secondary-container: #454b40;
-    --m3-on-secondary-container: #e2e6dc;
-    --m3-tertiary: #d4c5aa;
-    --m3-on-tertiary: #3b2f20;
-    --m3-tertiary-container: #5d503e;
-    --m3-on-tertiary-container: #f1e4cf;
-    --m3-error: #e6b8b4;
-    --m3-on-error: #5f1715;
-    --m3-error-container: #7c3430;
-    --m3-warning: #dcc48e;
-    --m3-warning-container: #5a4828;
-    --m3-background: #111510;
-    --m3-surface: #111510;
-    --m3-surface-container-lowest: #0b0e0a;
-    --m3-surface-container-low: #1a1f18;
-    --m3-surface-container: #20261e;
-    --m3-surface-container-high: #2a3128;
-    --m3-surface-container-highest: #343d31;
-    --m3-on-surface: #e5e9df;
-    --m3-on-surface-variant: #c7cec1;
-    --m3-outline: #92998e;
-    --m3-outline-variant: #464d43;
-    --m3-shadow: 0 1px 2px rgba(0, 0, 0, 0.36), 0 4px 12px rgba(0, 0, 0, 0.28);
-    --m3-elevated-shadow: 0 4px 12px rgba(0, 0, 0, 0.45), 0 16px 32px rgba(0, 0, 0, 0.32);
+    --m3-primary: #c8cee0;
+    --m3-on-primary: #202431;
+    --m3-primary-container: #3f4453;
+    --m3-on-primary-container: #eef1ff;
+    --m3-secondary: #aeb6c9;
+    --m3-on-secondary: #242832;
+    --m3-secondary-container: #343842;
+    --m3-on-secondary-container: #e4e8f6;
+    --m3-tertiary: #d6b7f0;
+    --m3-on-tertiary: #382047;
+    --m3-tertiary-container: #4b3b59;
+    --m3-on-tertiary-container: #f4dcff;
+    --m3-error: #f2b8b5;
+    --m3-on-error: #601410;
+    --m3-error-container: #7d2e29;
+    --m3-success: #9bd7bd;
+    --m3-success-container: #254c3a;
+    --m3-warning: #e6cb7f;
+    --m3-warning-container: #55451f;
+    --m3-accent-cyan: #5fd4ff;
+    --m3-accent-pink: #ff9bd8;
+    --m3-accent-orange: #ffb879;
+    --m3-accent-lavender: #b9b2ff;
+    --m3-background: #111216;
+    --m3-surface: #111216;
+    --m3-surface-container-lowest: #090a0d;
+    --m3-surface-container-low: #1a1b20;
+    --m3-surface-container: #2a2a2e;
+    --m3-surface-container-high: #34353b;
+    --m3-surface-container-highest: #41434b;
+    --m3-on-surface: #f1f1f4;
+    --m3-on-surface-variant: #b4b4bd;
+    --m3-outline: #8b8d98;
+    --m3-outline-variant: #4b4d56;
+    --m3-shadow: 0 1px 2px rgba(0, 0, 0, 0.42), 0 8px 24px rgba(0, 0, 0, 0.34);
+    --m3-elevated-shadow: 0 8px 24px rgba(0, 0, 0, 0.48), 0 24px 48px rgba(0, 0, 0, 0.36);
 }
 
 html,
@@ -87,7 +110,16 @@ body,
 
 body {
     font-family: "Google Sans", Roboto, "Noto Sans TC", system-ui, -apple-system, sans-serif;
+    font-size: 16px;
+    line-height: 1.55;
     letter-spacing: 0;
+    text-rendering: optimizeLegibility;
+}
+
+#app {
+    background:
+        radial-gradient(circle at 50% 0%, color-mix(in srgb, var(--m3-primary) 10%, transparent), transparent 30rem),
+        var(--m3-background);
 }
 
 header,
@@ -106,11 +138,26 @@ header.bg-white,
 header.dark\:bg-dark,
 footer.bg-white,
 footer.dark\:bg-dark {
-    background: var(--m3-surface-container-low) !important;
+    background: color-mix(in srgb, var(--m3-background) 82%, var(--m3-surface-container) 18%) !important;
     border-color: var(--m3-divider) !important;
     box-shadow: none !important;
 }
 
+header {
+    min-height: 72px;
+    padding-inline: clamp(1rem, 2vw, 1.75rem) !important;
+}
+
+header img {
+    background: var(--m3-surface-container-high);
+    border-radius: 18px !important;
+}
+
+header h1 {
+    font-size: clamp(1.35rem, 1.8vw, 2rem) !important;
+    line-height: 1.15;
+}
+
 aside.bg-white,
 aside.dark\:bg-dark,
 main.bg-slate-50,
@@ -133,7 +180,23 @@ header h1 {
     background: none !important;
     color: var(--m3-on-surface) !important;
     -webkit-text-fill-color: var(--m3-on-surface);
-    font-weight: 700;
+    font-weight: 500;
+    letter-spacing: 0;
+}
+
+h2 {
+    font-size: 0.95rem !important;
+    font-weight: 500 !important;
+    letter-spacing: 0.01em !important;
+    text-transform: none !important;
+}
+
+h3.font-bold {
+    font-size: clamp(1.15rem, 1.35vw, 1.45rem) !important;
+}
+
+h4.font-bold {
+    font-size: 1.05rem !important;
 }
 
 hr {
@@ -168,6 +231,22 @@ main > div,
     box-shadow: none !important;
 }
 
+aside section {
+    background: var(--m3-surface-container) !important;
+    border: 1px solid var(--m3-soft-outline);
+    border-radius: 28px;
+    padding: 1.15rem;
+}
+
+main > div {
+    border-radius: 30px !important;
+    overflow: hidden;
+}
+
+main > div > div:first-child {
+    border-radius: 30px 30px 0 0;
+}
+
 .border,
 .border-2 {
     border-color: var(--m3-outline-variant) !important;
@@ -222,7 +301,7 @@ input[type="number"],
 textarea {
     background: var(--m3-surface-container-lowest) !important;
     border-color: var(--m3-input-outline) !important;
-    border-radius: 12px !important;
+    border-radius: 22px !important;
     color: var(--m3-on-surface) !important;
     box-shadow: none;
 }
@@ -248,10 +327,17 @@ label.cursor-pointer {
     border-color: transparent !important;
     border-radius: 999px !important;
     box-shadow: none !important;
-    font-weight: 650;
+    font-weight: 500;
     transition: background-color 140ms ease, color 140ms ease, box-shadow 140ms ease, transform 120ms ease;
 }
 
+button:focus-visible,
+[role="button"]:focus-visible,
+label.cursor-pointer:focus-visible {
+    outline: 3px solid color-mix(in srgb, var(--m3-primary) 42%, transparent);
+    outline-offset: 2px;
+}
+
 button:hover,
 [role="button"]:hover,
 label.cursor-pointer:hover {
@@ -297,7 +383,7 @@ details,
 select,
 textarea,
 input[type="number"] {
-    border-radius: 16px !important;
+    border-radius: 22px !important;
 }
 
 .rounded-full {
@@ -305,15 +391,17 @@ input[type="number"] {
 }
 
 input[type=range] {
-    background: color-mix(in srgb, var(--m3-primary) 22%, var(--m3-surface-container-high)) !important;
+    background: color-mix(in srgb, var(--m3-primary) 28%, var(--m3-surface-container-high)) !important;
     border-radius: 999px;
-    height: 6px;
+    height: 10px;
 }
 
 input[type=range]::-webkit-slider-thumb {
     background: var(--m3-primary);
-    border: 3px solid var(--m3-surface-container-lowest);
+    border: 4px solid var(--m3-surface-container-lowest);
     box-shadow: var(--m3-shadow);
+    height: 28px;
+    width: 28px;
 }
 
 .dark input[type=range]::-webkit-slider-thumb {
@@ -529,3 +617,138 @@ details .grid.grid-cols-\[2rem_1fr_2rem\] button {
     background: var(--m3-secondary-container) !important;
     color: var(--m3-on-secondary-container) !important;
 }
+
+details .grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > button,
+details .grid.grid-cols-\[2rem_1fr_2rem\] > button,
+details button.touch-none {
+    background: var(--m3-secondary-container) !important;
+    border: 1px solid color-mix(in srgb, var(--m3-secondary) 28%, var(--m3-outline-variant)) !important;
+    color: var(--m3-on-secondary-container) !important;
+    border-radius: 999px !important;
+    min-height: 42px;
+}
+
+details .grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > button:hover,
+details .grid.grid-cols-\[2rem_1fr_2rem\] > button:hover,
+details button.touch-none:hover {
+    background: color-mix(in srgb, var(--m3-secondary-container) 82%, var(--m3-primary) 18%) !important;
+    color: var(--m3-on-secondary-container) !important;
+}
+
+details .grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > div,
+details .grid.grid-cols-\[2rem_1fr_2rem\] input,
+details button.touch-none,
+details .grid.grid-cols-2.gap-2 > div {
+    background: var(--m3-surface-container-lowest) !important;
+    border-color: var(--m3-soft-outline) !important;
+}
+
+details .grid.grid-cols-\[2rem_1fr_2rem\] input,
+details button.touch-none span.font-mono,
+details .grid.grid-cols-2.gap-2 > div span.font-mono {
+    color: var(--m3-on-surface) !important;
+    -webkit-text-fill-color: var(--m3-on-surface);
+}
+
+details .grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > div span.font-mono {
+    color: var(--m3-on-secondary-container) !important;
+    -webkit-text-fill-color: var(--m3-on-secondary-container);
+}
+
+details .grid.grid-cols-\[2rem_1fr_2rem\] input:focus {
+    border-color: var(--m3-primary) !important;
+    box-shadow: 0 0 0 3px var(--m3-primary-state) !important;
+}
+
+.grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > button,
+.grid.grid-cols-\[2rem_1fr_2rem\] > button,
+button.touch-none {
+    background: var(--m3-secondary-container) !important;
+    border: 1px solid color-mix(in srgb, var(--m3-secondary) 28%, var(--m3-outline-variant)) !important;
+    color: var(--m3-on-secondary-container) !important;
+    border-radius: 999px !important;
+    font-size: 0.875rem !important;
+    font-weight: 500 !important;
+    letter-spacing: 0 !important;
+    min-height: 42px;
+}
+
+.grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > button:hover,
+.grid.grid-cols-\[2rem_1fr_2rem\] > button:hover,
+button.touch-none:hover {
+    background: color-mix(in srgb, var(--m3-secondary-container) 82%, var(--m3-primary) 18%) !important;
+    color: var(--m3-on-secondary-container) !important;
+}
+
+.grid.grid-cols-\[2rem_1fr_2rem\] > input,
+button.touch-none,
+.grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > div {
+    background: var(--m3-surface-container-lowest) !important;
+    border-color: var(--m3-soft-outline) !important;
+}
+
+.grid.grid-cols-\[2rem_1fr_2rem\] > input,
+button.touch-none span.font-mono,
+.grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] span.font-mono,
+.grid.grid-cols-2.gap-2 span.font-mono {
+    color: var(--m3-on-surface) !important;
+    -webkit-text-fill-color: var(--m3-on-surface);
+    font-weight: 500 !important;
+}
+
+.grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] span:not(.font-mono),
+.grid.grid-cols-2.gap-2 span:not(.font-mono) {
+    font-weight: 400 !important;
+}
+
+.grid.grid-cols-\[2rem_1fr_2rem\] > input {
+    text-align: center;
+    font-size: 0.95rem !important;
+    min-height: 42px;
+}
+
+.grid.grid-cols-\[2rem_1fr_2rem\] > input:focus {
+    border-color: var(--m3-primary) !important;
+    box-shadow: 0 0 0 3px var(--m3-primary-state) !important;
+}
+
+#app .font-bold,
+#app .font-semibold,
+#app strong,
+#app b {
+    font-weight: 500 !important;
+}
+
+#app label,
+#app summary,
+#app p,
+#app span {
+    letter-spacing: 0 !important;
+}
+
+#app section .flex.flex-wrap.gap-1.mb-2 > div,
+#app section .grid.grid-cols-2.gap-2 > div,
+#app section .grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > div,
+#app section button.touch-none {
+    background: var(--m3-surface-container-lowest) !important;
+    border-color: var(--m3-soft-outline) !important;
+    color: var(--m3-on-surface) !important;
+}
+
+#app section .flex.flex-wrap.gap-1.mb-2 > div span,
+#app section .grid.grid-cols-2.gap-2 > div span,
+#app section .grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > div span,
+#app section button.touch-none span {
+    color: var(--m3-on-surface) !important;
+    -webkit-text-fill-color: var(--m3-on-surface);
+    font-weight: 500 !important;
+}
+
+#app section .flex.flex-wrap.gap-1.mb-2 > div span:first-child,
+#app section .grid.grid-cols-2.gap-2 > div span:first-child,
+#app section .grid.grid-cols-\[3\.25rem_1fr_3\.25rem\] > div span:first-child,
+#app section button.touch-none span:first-child {
+    color: var(--m3-on-surface-variant) !important;
+    -webkit-text-fill-color: var(--m3-on-surface-variant);
+    font-weight: 400 !important;
+}
diff --git a/static/build/app.css b/static/build/app.css
index adecc6e..087b73f 100644
--- a/static/build/app.css
+++ b/static/build/app.css
@@ -1 +1 @@
-.custom-scrollbar::-webkit-scrollbar{width:6px;height:6px}.custom-scrollbar::-webkit-scrollbar-track{background:0 0}.custom-scrollbar::-webkit-scrollbar-thumb{background:#cbd5e1;border-radius:3px}.dark .custom-scrollbar::-webkit-scrollbar-thumb{background:#374151}.custom-scrollbar::-webkit-scrollbar-thumb:hover{background:#94a3b8}.dark .custom-scrollbar::-webkit-scrollbar-thumb:hover{background:#4b5563}body{font-family:Inter,system-ui,-apple-system,sans-serif;font-size:16px;line-height:1.6}input[type=range]{appearance:none;cursor:pointer;background:#e2e8f0;border-radius:4px;height:8px;transition:background .3s}.dark input[type=range]{background:#374151}input[type=range]::-webkit-slider-thumb{-webkit-appearance:none;cursor:pointer;background:#3b82f6;border:2px solid #fff;border-radius:50%;width:24px;height:24px;transition:background .15s ease-in-out,transform .1s;box-shadow:0 2px 5px #0003}.dark input[type=range]::-webkit-slider-thumb{border:2px solid #1f2937}input[type=range]::-webkit-slider-thumb:hover{background:#2563eb;transform:scale(1.1)}button,select,input[type=number],textarea{min-height:44px}.btn-small{min-height:unset}input[type=number]::-webkit-inner-spin-button{appearance:none;margin:0}input[type=number]::-webkit-outer-spin-button{appearance:none;margin:0}input[type=number]{appearance:textfield}.js-plotly-plot .plotly .modebar-container{width:100%!important;display:block!important;top:-45px!important;left:0!important;right:0!important}.js-plotly-plot .plotly .modebar{padding-right:10px;background:0 0!important;flex-flow:row!important;justify-content:flex-end!important;display:flex!important;position:static!important}.js-plotly-plot .plotly .modebar-group{flex-direction:row!important;display:flex!important}#bodePlot,#timePlot{margin-top:50px}@media (width<=1024px){.js-plotly-plot .plotly .modebar-container{top:-40px!important}}details>summary{-webkit-user-select:none;user-select:none;list-style:none}details>summary::-webkit-details-marker{display:none}details>div{animation:.2s ease-out slideDown;overflow:hidden}@keyframes slideDown{0%{opacity:0;transform:translateY(-6px)}to{opacity:1;transform:translateY(0)}}*,:before,:after,::backdrop{--tw-border-spacing-x:0;--tw-border-spacing-y:0;--tw-translate-x:0;--tw-translate-y:0;--tw-rotate:0;--tw-skew-x:0;--tw-skew-y:0;--tw-scale-x:1;--tw-scale-y:1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness:proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width:0px;--tw-ring-offset-color:#fff;--tw-ring-color:#3b82f680;--tw-ring-offset-shadow:0 0 #0000;--tw-ring-shadow:0 0 #0000;--tw-shadow:0 0 #0000;--tw-shadow-colored:0 0 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diff --git a/static/build/app.js b/static/build/app.js
index 7b5b676..cb0b964 100644
--- a/static/build/app.js
+++ b/static/build/app.js
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e>=1e6?`(~${(e/1e6).toFixed(1).replace(`.0`,``)}M)`:e>=1e3?`(~${(e/1e3).toFixed(1).replace(`.0`,``)}k)`:``},parseCoeffs(e){return e?e.split(/[,\s]+/).map(e=>parseFloat(e.trim())).filter(e=>!isNaN(e)):[]},padTo7(e){let t=e.slice(0,7);for(;t.length<7;)t.push(0);return t},syncBaseFromText(){let e=this.systemGain||1;this.baseB=this.padTo7(this.parseCoeffs(this.b_str)).map(t=>t/e),this.baseA=this.padTo7(this.parseCoeffs(this.a_str)),this.baseA[0]=1,this.fixedOverrides={a:{},b:{}},this.bSliders=[0,0,0,0,0,0,0],this.aSliders=[0,0,0,0,0,0,0],this.outOfRangeB=[!1,!1,!1,!1,!1,!1,!1],this.outOfRangeA=[!1,!1,!1,!1,!1,!1,!1]},resetSlidersB(){this.bSliders=[0,0,0,0,0,0,0],this.b_str=this.baseB.map(e=>parseFloat(e.toPrecision(10))).join(`, `),this.debouncedUpdateBode()},resetSlidersA(){this.aSliders=[0,0,0,0,0,0],this.a_str=this.baseA.map(e=>parseFloat(e.toPrecision(10))).join(`, `),this.debouncedUpdateBode()},clearManualAdjustments(){this.bSliders=[0,0,0,0,0,0,0],this.aSliders=[0,0,0,0,0,0,0];let e=this.systemGain||1;this.b_str=this.baseB.map(t=>parseFloat((t*e).toPrecision(10))).join(`, `),this.a_str=this.baseA.map(e=>parseFloat(e.toPrecision(10))).join(`, `),this.activeCoeffAdjustment=null,this.calcSlidersFromText(),this.updateBodePlot({switchToChart:!1})},updateFromControls({updateBode:e=!0}={}){let t=this.baseB.map((e,t)=>e*(this.systemGain||1)*10**(this.bSliders[t]||0)),n=[1];for(let e=1;e<7;e++)n.push(this.baseA[e]*10**(this.aSliders[e]||0));this.b_str=t.map(e=>parseFloat(e.toPrecision(10))).join(`, `),this.a_str=n.map(e=>parseFloat(e.toPrecision(10))).join(`, `),e&&this.debouncedUpdateBode()},stepDecimals(e){let t=String(e);return t.includes(`e-`)?Number(t.split(`e-`)[1]):t.includes(`.`)?t.split(`.`)[1].length:0},roundToStep(e,t=this.aFineStep){let n=1/t;return Math.round(e*n)/n},formatFineCoeff(e){return Number.isFinite(e)?Number(e).toString():`0`},formatAFineDelta(e=this.aFineStep){return this.roundToStep(e,e).toFixed(this.stepDecimals(e))},formatFixedFineCoeff(e){return Number.isFinite(e)?String(e):`0`},formatFixedAFineDelta(e=this.fixedAFineStep){return String(e)},adjustAFineStep(e){let t=this.aFineStep*(e>0?.1:10),n=Math.min(1,Math.max(1e-9,t));this.aFineStep=Number(n.toPrecision(12))},adjustFixedAFineStep(e){let t=this.fixedAFineStep*(e>0?.1:10);this.fixedAFineStep=Math.max(1,Math.min(1e9,Math.round(t)))},setDeltaR(e,t){let n=Number(e),r=Number(t);!Number.isFinite(n)||!Number.isFinite(r)||this.setA1A2(-1-r+n,r+n)},setAFineDirect(e,t){let n=parseFloat(t);Number.isFinite(n)&&(e===`delta`?this.setDeltaR(n,this.currentR):e===`r`&&this.setDeltaR(this.currentDelta,n))},adjustAFineValue(e,t){let n=t*this.aFineStep;e===`delta`?this.setDeltaR(this.currentDelta+n,this.currentR):e===`r`&&this.setDeltaR(this.currentDelta,this.currentR+n)},handleAFineWheel(e,t){if(!t.shiftKey){t.currentTarget?.blur?.();return}t.preventDefault();let n=t.deltaY<0?1:-1,r=Math.max(1,Math.round(Math.abs(t.deltaY)/80));this.adjustAFineValue(e,n*r)},startAFineDrag(e,t){t.pointerType===`touch`&&(t.preventDefault(),this.aFineDrag={target:e,lastY:t.clientY,remainder:0},window.addEventListener(`pointermove`,this.moveAFineDrag,{passive:!1}),window.addEventListener(`pointerup`,this.stopAFineDrag),window.addEventListener(`pointercancel`,this.stopAFineDrag))},moveAFineDrag(e){if(!this.aFineDrag)return;e.preventDefault();let t=this.aFineDrag.lastY-e.clientY;this.aFineDrag.lastY=e.clientY,this.aFineDrag.remainder+=t;let n=Math.trunc(this.aFineDrag.remainder/18);n!==0&&(this.aFineDrag.remainder-=n*18,this.adjustAFineValue(this.aFineDrag.target,n))},stopAFineDrag(){this.aFineDrag=null,window.removeEventListener(`pointermove`,this.moveAFineDrag),window.removeEventListener(`pointerup`,this.stopAFineDrag),window.removeEventListener(`pointercancel`,this.stopAFineDrag)},setFixedDeltaR(e,t){let n=Number(e),r=Number(t);!Number.isFinite(n)||!Number.isFinite(r)||(this.fixedOverrides.a[1]=Math.round(-this.fixedA0Int-r+n),this.fixedOverrides.a[2]=Math.round(r+n),this.debouncedUpdateBode())},setFixedAFineDirect(e,t){let n=parseFloat(t);Number.isFinite(n)&&(e===`delta`?this.setFixedDeltaR(n,this.fixedCurrentR):e===`r`&&this.setFixedDeltaR(this.fixedCurrentDelta,n))},adjustFixedAFineValue(e,t){let n=t*this.fixedAFineStep;e===`delta`?this.setFixedDeltaR(this.fixedCurrentDelta+n,this.fixedCurrentR):e===`r`&&this.setFixedDeltaR(this.fixedCurrentDelta,this.fixedCurrentR+n)},handleFixedAFineWheel(e,t){if(!t.shiftKey){t.currentTarget?.blur?.();return}t.preventDefault();let n=t.deltaY<0?1:-1,r=Math.max(1,Math.round(Math.abs(t.deltaY)/80));this.adjustFixedAFineValue(e,n*r)},startFixedA1A2Repeat(e,t){this.stopFixedA1A2Repeat(),this.adjustFixedAFineValue(e,t),this.fixedAFineRepeatDelayTimer=setTimeout(()=>{this.fixedAFineRepeatTimer=setInterval(()=>{this.adjustFixedAFineValue(e,t)},80)},350)},stopFixedA1A2Repeat(){clearTimeout(this.fixedAFineRepeatDelayTimer),clearInterval(this.fixedAFineRepeatTimer),this.fixedAFineRepeatDelayTimer=null,this.fixedAFineRepeatTimer=null},startFixedAFineDrag(e,t){t.pointerType===`touch`&&(t.preventDefault(),this.fixedAFineDrag={target:e,lastY:t.clientY,remainder:0},window.addEventListener(`pointermove`,this.moveFixedAFineDrag,{passive:!1}),window.addEventListener(`pointerup`,this.stopFixedAFineDrag),window.addEventListener(`pointercancel`,this.stopFixedAFineDrag))},moveFixedAFineDrag(e){if(!this.fixedAFineDrag)return;e.preventDefault();let t=this.fixedAFineDrag.lastY-e.clientY;this.fixedAFineDrag.lastY=e.clientY,this.fixedAFineDrag.remainder+=t;let n=Math.trunc(this.fixedAFineDrag.remainder/18);n!==0&&(this.fixedAFineDrag.remainder-=n*18,this.adjustFixedAFineValue(this.fixedAFineDrag.target,n))},stopFixedAFineDrag(){this.fixedAFineDrag=null,window.removeEventListener(`pointermove`,this.moveFixedAFineDrag),window.removeEventListener(`pointerup`,this.stopFixedAFineDrag),window.removeEventListener(`pointercancel`,this.stopFixedAFineDrag)},normalizeShiftBits(e){let t=parseInt(e,10);return Number.isFinite(t)?Math.max(0,t):0},setShiftBits(e,t){let n=this.normalizeShiftBits(t);e===`b`?this.shiftBitsB=n:this.shiftBitsA=n,this.clearFixedOverrides(e),this.debouncedUpdateBode()},adjustShiftBits(e,t){let n=e===`b`?this.shiftBitsB:this.shiftBitsA;this.setShiftBits(e,n+t)},handleShiftBitWheel(e,t){if(!t.shiftKey){t.currentTarget?.blur?.();return}t.preventDefault();let n=t.deltaY<0?1:-1,r=Math.max(1,Math.round(Math.abs(t.deltaY)/80));this.adjustShiftBits(e,n*r)},startShiftBitRepeat(e,t){this.stopShiftBitRepeat(),this.adjustShiftBits(e,t),this.shiftBitRepeatDelayTimer=setTimeout(()=>{this.shiftBitRepeatTimer=setInterval(()=>{this.adjustShiftBits(e,t)},80)},350)},stopShiftBitRepeat(){clearTimeout(this.shiftBitRepeatDelayTimer),clearInterval(this.shiftBitRepeatTimer),this.shiftBitRepeatDelayTimer=null,this.shiftBitRepeatTimer=null},startShiftBitDrag(e,t){t.pointerType===`touch`&&(t.preventDefault(),this.shiftBitDrag={type:e,lastY:t.clientY,remainder:0},window.addEventListener(`pointermove`,this.moveShiftBitDrag,{passive:!1}),window.addEventListener(`pointerup`,this.stopShiftBitDrag),window.addEventListener(`pointercancel`,this.stopShiftBitDrag))},moveShiftBitDrag(e){if(!this.shiftBitDrag)return;e.preventDefault();let t=this.shiftBitDrag.lastY-e.clientY;this.shiftBitDrag.lastY=e.clientY,this.shiftBitDrag.remainder+=t;let n=Math.trunc(this.shiftBitDrag.remainder/18);n!==0&&(this.shiftBitDrag.remainder-=n*18,this.adjustShiftBits(this.shiftBitDrag.type,n))},stopShiftBitDrag(){this.shiftBitDrag=null,window.removeEventListener(`pointermove`,this.moveShiftBitDrag),window.removeEventListener(`pointerup`,this.stopShiftBitDrag),window.removeEventListener(`pointercancel`,this.stopShiftBitDrag)},setA1A2(e,t){let n=this.padTo7(this.parseCoeffs(this.a_str));n[0]=1,n[1]=Number(e),n[2]=Number(t),this.a_str=n.map(e=>Number.isFinite(e)?Number(e).toString():`0`).join(`, `),this.calcSlidersFromText(),this.debouncedUpdateBode()},adjustA1A2(e,t){let n=this.aFineStep*t;e===`delta`?this.setDeltaR(this.currentDelta+n,this.currentR):e===`r`&&this.setDeltaR(this.currentDelta,this.currentR+n)},startA1A2Repeat(e,t){this.stopA1A2Repeat(),this.adjustA1A2(e,t),this.aFineRepeatDelayTimer=setTimeout(()=>{this.aFineRepeatTimer=setInterval(()=>{this.adjustA1A2(e,t)},80)},350)},stopA1A2Repeat(){clearTimeout(this.aFineRepeatDelayTimer),clearInterval(this.aFineRepeatTimer),this.aFineRepeatDelayTimer=null,this.aFineRepeatTimer=null},toggleCoeffAdjustment(e){if(this.activeCoeffAdjustment===e){this.activeCoeffAdjustment=null;return}this.activeCoeffAdjustment=e,e===`a1a2`&&this.calcSlidersFromText()},calcSlidersFromText(){let e=this.systemGain||1,t=this.parseCoeffs(this.b_str),n=this.parseCoeffs(this.a_str);for(let n=0;n<7;n++){let r=t[n]||0,i=this.baseB[n]||0;if(this.outOfRangeB[n]=!1,i!==0&&r!==0&&r/(i*e)>0){let t=Math.log10(r/(i*e));Math.abs(t)<1e-12&&(t=0),Math.abs(t)>this.maxLogB&&(this.outOfRangeB[n]=!0),this.bSliders[n]=Math.max(-this.maxLogB,Math.min(this.maxLogB,t))}else this.bSliders[n]=0,r!==0&&i!==0&&(this.outOfRangeB[n]=!0)}for(let e=1;e<7;e++){let t=n[e]||0,r=this.baseA[e]||0;if(this.outOfRangeA[e]=!1,r!==0&&t!==0&&t/r>0){let n=Math.log10(t/r);Math.abs(n)<1e-12&&(n=0),Math.abs(n)>this.maxLogA&&(this.outOfRangeA[e]=!0),this.aSliders[e]=Math.max(-this.maxLogA,Math.min(this.maxLogA,n))}else this.aSliders[e]=0,t!==0&&r!==0&&(this.outOfRangeA[e]=!0)}},debouncedUpdateFromText(e){e===`b`&&(this.b_str=this.b_str.replace(/[^0-9,.\-\s]/g,``)),e===`a`&&(this.a_str=this.a_str.replace(/[^0-9,.\-\s]/g,``)),this.calcSlidersFromText(),this.debouncedUpdateBode()},onlyNumberKey(e,t=!0){[`Backspace`,`Delete`,`ArrowLeft`,`ArrowRight`,`Tab`,`Enter`,`Home`,`End`].includes(e.key)||e.ctrlKey||e.metaKey||(t?/[0-9,.\-\s]/:/[0-9,\-\s]/).test(e.key)||e.preventDefault()},clearFixedOverrides(e=null){if(e===`a`||e===`b`){this.fixedOverrides[e]={};return}this.fixedOverrides={a:{},b:{}}},resetFixedPointSettings(){this.shiftBitsB=go,this.shiftBitsA=go,this.fixedAFineStep=1,this.clearFixedOverrides(),this.updateBodePlot({switchToChart:!1})},debouncedApply(){clearTimeout(this.bodeTimeout),this.bodeTimeout=setTimeout(()=>{this.filterType===fo?this.updateBodePlot({switchToChart:!1}):this.applyFilterDesign()},300)},debouncedUpdateBode(){clearTimeout(this.bodeTimeout),this.bodeTimeout=setTimeout(()=>this.updateBodePlot({switchToChart:!1}),150)},onGainChange(){this.updateFromControls()},onFilterTypeChange(){this.systemGain=1,this.clearFixedOverrides(),this.bSliders=bo(),this.aSliders=bo(),this.outOfRangeB=[!1,!1,!1,!1,!1,!1,!1],this.outOfRangeA=[!1,!1,!1,!1,!1,!1,!1],this.activeCoeffAdjustment=null,this.filterType!==fo&&(this.params=yo()),this.applyFilterDesign()},resetFilterParams(){clearTimeout(this.bodeTimeout),this.fs=po,this.filterType=uo,this.systemGain=1,this.params=yo(),this.b_str=mo,this.a_str=ho,this.baseB=this.padTo7(this.parseCoeffs(mo)),this.baseA=this.padTo7(this.parseCoeffs(ho)),this.clearFixedOverrides(),this.bSliders=bo(),this.aSliders=bo(),this.outOfRangeB=[!1,!1,!1,!1,!1,!1,!1],this.outOfRangeA=[!1,!1,!1,!1,!1,!1,!1],this.sense_b=`2x`,this.sense_a=`2x`,this.shiftBitsB=go,this.shiftBitsA=go,this.aFineStep=.01,this.fixedAFineStep=1,this.stopA1A2Repeat(),this.stopAFineDrag(),this.stopFixedA1A2Repeat(),this.stopFixedAFineDrag(),this.stopShiftBitRepeat(),this.stopShiftBitDrag(),this.activeCoeffAdjustment=null,this.globalError=null,this.applyFilterDesign()},async applyFilterDesign(){if(this.filterType!==fo){this.globalError=null;try{let e={filter_type:this.filterType,fs:this.fs,lp_fc:this.params.fc,lp_order:this.params.order,hp_fc:this.params.fc,hp_order:this.params.order,bp_f_low:this.params.bp_f_low,bp_f_high:this.params.bp_f_high,bp_order:this.params.bp_order,notch_f0:this.params.notch_f0,notch_q:this.params.notch_q,opoz_fz:this.params.opoz_fz,opoz_fp:this.params.opoz_fp,tp1z_fz:this.params.tp1z_fz,tp1z_fp1:this.params.tp1z_fp1,tp1z_fp2:this.params.tp1z_fp2,tptz_fz1:this.params.tptz_fz1,tptz_fz2:this.params.tptz_fz2,tptz_fp1:this.params.tptz_fp1,tptz_fp2:this.params.tptz_fp2,pid_kp:this.params.kp,pid_ki:this.params.ki,pid_kd:this.params.kd,sogi_f0:this.params.sogi_f0,sogi_k:this.params.sogi_k},t=await fetch(`/api/design`,{method:`POST`,headers:{"Content-Type":`application/json`},body:JSON.stringify(e)});if(!t.ok){let e=await t.json();throw Error(e.detail||`設計濾波器失敗`)}let n=await t.json();this.baseB=this.padTo7(n.b),this.baseA=this.padTo7(n.a),this.baseA[0]=1,this.bSliders=[0,0,0,0,0,0,0],this.aSliders=[0,0,0,0,0,0,0],this.activeCoeffAdjustment=null,this.updateFromControls({updateBode:!1}),await this.updateBodePlot({switchToChart:!1})}catch(e){this.globalError=e.message}}},async updateBodePlot({switchToChart:e=!0}={}){this.loadingBode=!0,this.globalError=null;try{let t=this.parseCoeffs(this.b_str),n=this.parseCoeffs(this.a_str);t.length===0&&(t=[1]),n.length===0&&(n=[1]);let r=2**this.shiftBitsB,i=2**this.shiftBitsA,a=t.map((e,t)=>(this.fixedOverrides.b[t]===void 0?Math.round(e*r):this.fixedOverrides.b[t])/r),o=n.map((e,t)=>(this.fixedOverrides.a[t]===void 0?Math.round(e*i):this.fixedOverrides.a[t])/i),s=await fetch(`/api/bode/compare`,{method:`POST`,headers:{"Content-Type":`application/json`},body:JSON.stringify({ideal:{b:t,a:n,fs:this.fs},fixed:{b:a,a:o,fs:this.fs}})}),c;if(s.status===404){let[e,r]=await Promise.all([fetch(`/api/bode`,{method:`POST`,headers:{"Content-Type":`application/json`},body:JSON.stringify({b:t,a:n,fs:this.fs})}),fetch(`/api/bode`,{method:`POST`,headers:{"Content-Type":`application/json`},body:JSON.stringify({b:a,a:o,fs:this.fs})})]);if(!e.ok||!r.ok)throw Error(`無法計算頻率響應`);let i=await e.json(),s=await r.json();c={freq:i.freq,ideal:{mag:i.mag,phase:i.phase},fixed:{mag:s.mag,phase:s.phase}}}else if(s.ok)c=await s.json();else{let e=await s.json();throw Error(e.detail||`無法計算頻率響應`)}this.drawBodePlot(c.freq,c.ideal.mag,c.ideal.phase,c.fixed.mag,c.fixed.phase),e&&window.innerWidth<1024&&(this.mobileTab=`chart`)}catch(e){this.globalError=e.message}finally{this.loadingBode=!1}},drawBodePlot(e,t,n,r,i){let a=this.fs,o=e[0],s=e[e.length-1],c=this.isDarkMode,l=window.innerWidth<768,u=[],d=[],f=Math.floor(Math.log10(o)),p=Math.ceil(Math.log10(s));for(let e=f;e<=p;e++)for(let t of[1,2,5]){let n=t*10**e;n<o||n>s||(u.push(n),n<1?d.push(n.toPrecision(3)):n<1e3?d.push(String(n)):n<1e6?d.push(n/1e3+`k`):d.push(n/1e6+`M`))}let m=[],h=[],g=(e,t,n)=>{let r=n===1?`y`:`y2`;m.push({type:`line`,x0:e,x1:e,y0:0,y1:1,xref:n===1?`x`:`x2`,yref:r+` domain`,line:{color:c?`rgba(242,184,181,0.72)`:`rgba(179,38,30,0.68)`,width:1.4,dash:`dash`}}),t&&h.push({x:Math.log10(e),y:1,text:t,xref:n===1?`x`:`x2`,yref:r+` domain`,showarrow:!1,font:{color:c?`#f2b8b5`:`#b3261e`,size:l?10:12},yshift:l?15:12,xanchor:`center`,yanchor:l?`middle`:`bottom`,textangle:l?-90:0})};g(a/2,`Nyquist`,1),g(a,`fs`,1),g(a/2,null,2),g(a,null,2);for(let e=f;e<=p;e++){let t=10**e;if(t>=o&&t<=s){let e=c?`rgba(200,206,224,0.24)`:`rgba(86,96,117,0.16)`;m.push({type:`line`,x0:t,x1:t,y0:0,y1:1,xref:`x`,yref:`y domain`,line:{color:e,width:1.5}},{type:`line`,x0:t,x1:t,y0:0,y1:1,xref:`x2`,yref:`y2 domain`,line:{color:e,width:1.5}})}}let 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transition-colors`},`+`,32)])]))])]),J(`div`,Rc,[J(`div`,zc,[t[199]||=J(`span`,{class:`text-[9px] text-slate-400 block font-bold mb-1`},`a1 = -a0 - r + δ`,-1),J(`span`,{class:`block max-w-full truncate text-sm font-mono font-bold role-text-secondary-muted`,title:e.formatFixedFineCoeff(e.fixedCurrentA1)},A(e.formatFixedFineCoeff(e.fixedCurrentA1)),9,Bc)]),J(`div`,Vc,[t[200]||=J(`span`,{class:`text-[9px] text-slate-400 block font-bold mb-1`},`a2 = r + δ`,-1),J(`span`,{class:`block max-w-full truncate text-sm font-mono font-bold role-text-secondary-muted`,title:e.formatFixedFineCoeff(e.fixedCurrentA2)},A(e.formatFixedFineCoeff(e.fixedCurrentA2)),9,Hc)]),J(`div`,Uc,[t[201]||=J(`span`,{class:`text-[9px] text-slate-400 block font-bold mb-1`},`差值 a1-a2`,-1),J(`span`,{class:`block max-w-full truncate text-xs font-mono text-slate-600 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duration-300`])},[e.globalError?(K(),q(`div`,Xc,[t[210]||=J(`svg`,{class:`w-4 h-4`,fill:`none`,stroke:`currentColor`,viewBox:`0 0 24 24`},[J(`path`,{"stroke-linecap":`round`,"stroke-linejoin":`round`,"stroke-width":`2`,d:`M12 8v4m0 4h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z`})],-1),Y(` `+A(e.globalError)+` `,1),J(`button`,{onClick:t[140]||=t=>e.globalError=null,class:`ml-2 role-hover-error`},`×`)])):X(``,!0),J(`div`,Zc,[t[213]||=J(`div`,{class:`hidden lg:block absolute inset-0 bg-gradient-to-br role-surface-gradient pointer-events-none`},null,-1),J(`div`,Qc,[t[212]||=J(`h3`,{class:`font-bold text-slate-800 dark:text-gray-200 tracking-wide flex items-center gap-2`},[J(`svg`,{class:`w-5 h-5 role-text-primary`,fill:`none`,stroke:`currentColor`,viewBox:`0 0 24 24`},[J(`path`,{"stroke-linecap":`round`,"stroke-linejoin":`round`,"stroke-width":`2`,d:`M4 19V5m0 14h16M7 16l3-4 3 2 4-7`})]),Y(` 頻率響應 (Frequency Response)`)],-1),e.loadingBode?(K(),q(`div`,$c,[...t[211]||=[J(`span`,{class:`w-2 h-2 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dark:text-gray-100`},[(K(!0),q(W,null,V(e.csvColumns,(e,t)=>(K(),q(`option`,{key:t,value:t},A(e),9,ll))),128))],512),[[$a,e.selectedColumn]])])):X(``,!0),e.csvFile?(K(),q(`button`,{key:5,onClick:t[143]||=(...t)=>e.processFilter&&e.processFilter(...t),class:`role-bg-primary role-hover-primary role-text-on-fill px-6 py-3 rounded-lg text-base font-semibold transition-all shadow-md role-shadow-primary disabled:opacity-50 disabled:cursor-not-allowed`,disabled:e.loadingFilter||e.csvColumns.length===0},A(e.loadingFilter?`處理中...`:`執行當前濾波器`),9,ul)):X(``,!0),e.filterDone?(K(),q(`button`,{key:6,onClick:t[144]||=(...t)=>e.downloadCsv&&e.downloadCsv(...t),class:`ml-auto bg-slate-700 hover:bg-slate-600 role-text-on-fill px-5 py-3 rounded-lg text-base font-semibold transition-all flex items-center gap-2`},[...t[218]||=[J(`svg`,{class:`w-5 h-5`,fill:`none`,stroke:`currentColor`,viewBox:`0 0 24 24`},[J(`path`,{"stroke-linecap":`round`,"stroke-linejoin":`round`,"stroke-width":`2`,d:`M4 16v1a3 3 0 003 3h10a3 3 0 003-3v-1m-4-4l-4 4m0 0l-4-4m4 4V4`})],-1),Y(` 匯出結果 `,-1)]])):X(``,!0)]),e.csvPreview.length>0?(K(),q(`div`,dl,[t[219]||=J(`h4`,{class:`text-sm font-semibold text-slate-500 dark:text-gray-400 mb-2 uppercase tracking-tight`},` 資料預覽 (前五筆):`,-1),J(`div`,fl,[J(`table`,pl,[J(`thead`,null,[J(`tr`,ml,[(K(!0),q(W,null,V(e.csvColumns,e=>(K(),q(`th`,{key:e,class:`px-4 py-3 font-semibold text-slate-700 dark:text-gray-300`},A(e),1))),128))])]),J(`tbody`,hl,[(K(!0),q(W,null,V(e.csvPreview,(e,t)=>(K(),q(`tr`,{key:t,class:`hover:bg-slate-50/50 dark:hover:bg-gray-800/30 transition-colors`},[(K(!0),q(W,null,V(e,(e,t)=>(K(),q(`td`,{key:t,class:`px-4 py-2 font-mono text-slate-600 dark:text-gray-400`},A(e),1))),128))]))),128))])])])])):X(``,!0),e.filterDone?(K(),q(`h4`,gl,`波形比較圖 `)):X(``,!0),J(`div`,_l,[B(J(`div`,vl,null,512),[[ya,e.filterDone]])]),!e.filterDone&&!e.loadingFilter&&e.csvPreview.length===0?(K(),q(`div`,yl,[...t[220]||=[J(`svg`,{class:`w-12 h-12 mb-3 opacity-50`,fill:`none`,stroke:`currentColor`,viewBox:`0 0 24 24`},[J(`path`,{"stroke-linecap":`round`,"stroke-linejoin":`round`,"stroke-width":`1.5`,d:`M9 19v-6a2 2 0 00-2-2H5a2 2 0 00-2 2v6a2 2 0 002 2h2a2 2 0 002-2zm0 0V9a2 2 0 012-2h2a2 2 0 012 2v10m-6 0a2 2 0 002 2h2a2 2 0 002-2m0 0V5a2 2 0 012-2h2a2 2 0 012 2v14a2 2 0 01-2 2h-2a2 2 0 01-2-2z`})],-1),J(`p`,null,`請上傳包含時間序列的 CSV 檔案進行測試`,-1)]])):X(``,!0)])])],2)]),t[223]||=J(`footer`,{class:`bg-white dark:bg-dark border-t border-slate-200 dark:border-gray-800 py-2 text-center z-20 transition-colors duration-300`},[J(`p`,{class:`text-xs text-slate-400 dark:text-gray-600`},`© 2026 喆富創新科技股份有限公司. All rights reserved.`)],-1)])}so(So(xo,[[`render`,bl]])).mount(`#dea-root`);
\ No newline at end of file
diff --git a/tests/test_dea_api.py b/tests/test_dea_api.py
index cd23a65..3801ba4 100644
--- a/tests/test_dea_api.py
+++ b/tests/test_dea_api.py
@@ -5,7 +5,16 @@ import unittest
 from fastapi import HTTPException, UploadFile
 from fastapi.responses import JSONResponse
 
-from dea_api import BodeParams, DesignParams, add_security_headers, calculate_bode, design_filter, filter_csv
+from dea_api import (
+    BodeCompareParams,
+    BodeParams,
+    DesignParams,
+    add_security_headers,
+    calculate_bode,
+    calculate_bode_compare,
+    design_filter,
+    filter_csv,
+)
 
 
 class DeaApiTest(unittest.TestCase):
@@ -65,6 +74,19 @@ class DeaApiTest(unittest.TestCase):
             raise AssertionError("Expected a[0] validation to fail")
 
 
+    def test_bode_compare_reuses_one_frequency_axis(self):
+        body = calculate_bode_compare(
+            BodeCompareParams(
+                ideal=BodeParams(fs=1000, b=[1.0], a=[1.0]),
+                fixed=BodeParams(fs=1000, b=[0.5, 0.5], a=[1.0]),
+            )
+        )
+
+        self.assertEqual(len(body["freq"]), len(body["ideal"]["mag"]))
+        self.assertEqual(len(body["freq"]), len(body["fixed"]["mag"]))
+        self.assertEqual(len(body["ideal"]["phase"]), len(body["fixed"]["phase"]))
+
+
     def test_filter_downsamples_plot_response_for_large_csv(self):
         rows = ["value"] + [str(i) for i in range(6001)]
         upload = UploadFile(