feat(algo): 미이식 3건 마저 이식 — post_tie_lock · sibeam · F83

레퍼런스에서 남겨 뒀던 세 가지를 옮겼다. 셋 다 레퍼런스 경로 전용이고 기존(현행
임상) 경로는 그대로다.

  · post_tie_lock  후벽 상위 두 후보의 score 가 구조적으로 붙는 구간(전 데이터
                   5773 결정 중 격차<10% 가 17.9%)에서 직전 trace 선택을 유지한다.
                   방향을 강제하지 않는다 — 깊은-peak 고정·인접 골 tie-break 은
                   전부 계통 편향을 낳았고, tie 밴드에서는 정의상 두 후보의 증거가
                   같기 때문이다. 상태기를 넘길 때만 동작하며, 레퍼런스도 streaming
                   strict pass 에서만 건다. streaming.py 이식 전까지 호출부는 없다.
  · _sibeam_cap_bounds  검출 채널이 정확히 2개일 때 미검출 이웃 빔까지의 SI 거리를
                   cap 상한으로. 2개뿐이면 끝 채널이 서로의 이웃이라 기존 top/bottom
                   clamp 가 성립하지 않아 cap 이 무제한 외삽된다. supine 은 건너뛴다.
  · F83            적도-밖 bottom cap 연속 보간(실리콘·supine). 전제인
                   mirror_bottom_cap 도 함께 옮겼다.

좌표계가 두 개라는 것을 확인했다

레퍼런스 cross_channel._z 는 sample_to_ap_depth 를 인자 없이 불러 교차채널 좌표가
언제나 모듈 기본값(1.936/6.85)으로 떨어진다. BV 는 프리셋 값을 명시로 넘긴다.
abs 는 두 값이 같아 표가 안 나지만 실리콘(1.897/7.651)에서는 갈린다 — 실측
f06/r1 단일 cycle 에서 CH0 전벽이 8 vs 14 로 갈려 439.88 vs 416.95 mL 이 됐다.
is_deep 판정이 34.209 > 34.042 처럼 아슬아슬한 자리라 작은 좌표 차가 선택을 뒤집는다.
의도인지 누락인지는 알고리즘팀 확인이 필요하다. 확인 전까지 레퍼런스와 같은 값을
내는 쪽을 택했고, 기존 경로는 프리셋 값을 그대로 쓴다.

missing_outside 의 null 과 빈 집합을 구분했다

null = 계산 안 함 → cap clamp 를 언제나 상한으로. 빈 집합 = 계산했고 '방광 밖'
채널이 없다 → 하한 쪽으로. ifEmpty { null } 로 뭉개면 "미검출이지만 span 은 있다"는
가장 흔한 경우에 si_floor 가 통째로 죽는다.

검증

  · 레퍼런스 대조 6종 전부 불일치 0 — tie 1568행(lock 24건) · 실데이터 BV 784행
    (nch=2 6건) · sibeam 120행(상한 102건) · 합성 BV 640행(mirror 226건) ·
    F83 blend 440행 · F83 apply 12행. 실데이터가 미러·nch=2 에 거의 안 닿아
    그 경로는 합성 입력으로 레퍼런스 함수를 직접 호출한 기대값으로 덮었다.
  · 기존 경로 무변경 — 44 cycle × CCC on/off 덤프가 HEAD 와 88행 전부 일치.
  · 전체 36개 통과 · demoDebug APK 빌드 성공.

LegacyEquivalenceDumpTest 가 PiezoHW.activePreset 을 명시로 고정하게 했다. 전역
가변 상태라 다른 테스트가 먼저 돌면 덤프가 통째로 달라진다 — 실제로 한 번 착시를
만들었다.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

app/src/main/java/com/medithings/vesiscan/managers/AlgoMode.kt

@@ -23,6 +23,11 @@ package com.medithings.vesiscan.managers
  *                    기존의 `inward_post` 는 빠진다)
  *  · 파이프라인     `scale_recovery`(2) · `missing_outside` 증거 산출(4) ·
  *                   `channel_confidence`→untrusted(5b) · `CONF_DEMOTE`(6)
+ *  · 좌표계        교차채널 z 를 프리셋(실리콘 1.897/7.651) 대신 **전역 캘리브레이션**
+ *                   (1.936/6.85)으로 잰다 — 레퍼런스 `cross_channel._z` 가 그렇다.
+ *                   abs 는 값이 같아 표가 안 나고 실리콘에서만 갈린다.
+ *  · nch=2 clamp   `_sibeam_cap_bounds` — 채널이 2개뿐일 때 빔 기하로 cap 상한
+ *  · 미러 · F83     `mirror_bottom_cap` + 적도-밖 bottom cap 연속 보간(실리콘·supine)
  *  · BV            극 cap 의 상한/하한을 관측 증거로 가르는 `si_floor`/`missing_outside`,
  *                   bottom cap 제한 신설, 중앙 채널 보간 은행가 반올림,
  *                   `adaptive_large_bladder_relax` 제거(cap 축 폴백을 가로막고 있었다)

app/src/main/java/com/medithings/vesiscan/managers/AnchorGuide.kt

@@ -276,7 +276,7 @@ class AnchorGuide(
             wallsCross.map { r ->
                 r?.let { WallWithSpan(it.antRefined, it.postRefined, it.lowStart, it.lowEnd) }
             },
-            crossOutcome.missingOutside.ifEmpty { null })
+            crossOutcome.missingOutside)
 
         // ch3 검출률은 trace 단위다. 그 김에 trace 별 nch 통계도 얻는다(진단용).
         val traces = slidingTraces(cycles, traceWin)

app/src/main/java/com/medithings/vesiscan/managers/PiezoBVEstimator.kt

@@ -588,6 +588,63 @@ const val BOTTOM_CAP_SAGITTA_NOISE_MM: Double = 4.0
 /** Python `LUMEN_INSET_FRAC` (config_6ch.py:41). */
 const val LUMEN_INSET_FRAC: Double = 0.15
 
+/**
+ * Python `volume/config_vol.NCH2_SIBEAM_CLAMP_NCH` / `NCH2_SIBEAM_SKIP_SUPINE`.
+ *
+ * 검출 채널이 **정확히 2개**일 때만 빔 기하로 cap 을 제한한다. 3개 이상이면 위쪽의
+ * top/bottom 채널 clamp 가 이미 같은 일을 하므로 중복이다. supine 은 건너뛴다 —
+ * 그 자세에서는 적도가 fan 아래로 내려가 "빔이 못 잡았다"가 "방광이 없다"를 뜻하지
+ * 않는다(오히려 F83 이 반대 방향으로 채우는 구간이다).
+ */
+const val NCH2_SIBEAM_CLAMP_NCH = 2
+const val NCH2_SIBEAM_SKIP_SUPINE = true
+
+/** Python `volume/config_vol.MIRROR_*` — 적도 미관측 bottom cap 미러링. */
+const val MIRROR_MIN_NCH = 3
+const val MIRROR_EDGE_MARGIN = 0.02
+
+/**
+ * (상단, 하단) cap 높이 상한 = 끝 채널에서 **미검출 이웃 빔**까지의 SI 거리.
+ * Python `bv_estimation._sibeam_cap_bounds`.
+ *
+ * 빔이 방광을 못 잡았다는 것이 곧 "방광이 거기까지 없다"는 관측이다. 상한이 없으면
+ * (미검출 이웃이 없거나 기하가 무효) null 을 돌려 clamp 를 건너뛴다.
+ */
+internal fun sibeamCapBounds(
+    validChannels: List<Int>,
+    sortedChannels: List<Int>,
+    yS: DoubleArray,
+    dAnt: List<Double>,
+    dPost: List<Double>,
+    degreeDeg: DoubleArray,
+    sensorZMm: DoubleArray,
+): Pair<Double?, Double?> {
+    val det = sortedChannels.toSet()
+    val out = arrayOfNulls<Double>(2)
+    // (끝 index, 부호) — top 은 위쪽(+), bottom 은 아래쪽(−) 이웃까지의 거리를 본다.
+    val ends = listOf(sortedChannels.size - 1 to 1.0, 0 to -1.0)
+    for ((k, pair) in ends.withIndex()) {
+        val (idx, sign) = pair
+        val ch = sortedChannels[idx]
+        val yE = yS[idx]
+        val i = validChannels.indexOf(ch)
+        if (i < 0) continue
+        val dMid = (dAnt[i] + dPost[i]) / 2.0
+        val z0 = dMid * cos(Math.toRadians(degreeDeg[ch]))
+        var best: Double? = null
+        for (nb in 0 until minOf(4, degreeDeg.size)) {
+            if (nb in det) continue
+            val c = cos(Math.toRadians(degreeDeg[nb]))
+            if (abs(c) <= 1e-6) continue
+            val yB = sensorZMm[nb] + (z0 / c) * sin(Math.toRadians(degreeDeg[nb]))
+            val dy = (yB - yE) * sign
+            if (dy > 0) best = if (best == null) dy else minOf(best, dy)
+        }
+        out[k] = best
+    }
+    return Pair(out[0], out[1])
+}
+
 /**
  * Python `volume/config_vol.SI_FLOOR_WALK` — span 이 이어지는 가장 바깥 채널까지 하한을
  * 확장할지. 인접 채널에서 멈추지 않고 걸어간다. **레퍼런스 경로 전용**.
@@ -690,6 +747,8 @@ fun estimateBladderVolume6ch(
     ellipseCapHeight: Boolean = true,
     missingOutside: Set<Int>? = null,
     siFloor: Boolean = true,
+    supine: Boolean = false,
+    mirrorBottomCap: Boolean = false,
 ): BVResult? {
     var centerWalls = PiezoHW.centerCh.map { if (it < allWalls.size) allWalls[it] else null }
     centerWalls = repairCenterWallsFor6ch(centerWalls)
@@ -708,6 +767,8 @@ fun estimateBladderVolume6ch(
         ellipseCapHeight = ellipseCapHeight,
         missingOutside = missingOutside,
         siFloor = siFloor,
+        supine = supine,
+        mirrorBottomCap = mirrorBottomCap,
     )
 }
 
@@ -789,6 +850,8 @@ fun estimateBv(
     /** [estimateBladderVolume] 참조 — 검출기가 산출한 '진짜 방광 밖' 채널 집합. */
     missingOutside: Set<Int>? = null,
     siFloor: Boolean = true,
+    supine: Boolean = false,
+    mirrorBottomCap: Boolean = false,
 ): BVResult? {
     // ── 레퍼런스 경로: 완화 없이 한 번 계산하고 cap 축 폴백만 건다 ────────────
     // "끝단 단면이 넓고 cap 이 얕으면 urine_inset 0.05 + b_si_floor 0.85 로 재계산"
@@ -798,8 +861,12 @@ fun estimateBv(
     // 실측 PHANTOM mean: Python 160.03 mL vs 완화가 살아 있는 코틀린 232.49 mL.
     if (AlgoMode.reference) {
         val r = evalOnce(walls, lrRatio, urineInsetFrac, bSiFloorRatio, bSiFloorEdgeMin,
-            missingOutside = missingOutside, siFloor = siFloor)
+            missingOutside = missingOutside, siFloor = siFloor,
-        return capAxisFallback(r, walls, lrRatio, urineInsetFrac, bSiFloorRatio, bSiFloorEdgeMin)
+            supine = supine, mirrorBottomCap = mirrorBottomCap)
+        // 폴백에는 자세·미러를 **넘긴다**(레퍼런스가 그렇게 부른다). missingOutside·
+        // siFloor 는 반대로 넘기지 않는다 — 그쪽도 레퍼런스가 그렇게 부른다.
+        return capAxisFallback(r, walls, lrRatio, urineInsetFrac, bSiFloorRatio,
+            bSiFloorEdgeMin, supine, mirrorBottomCap)
     }
 
     val result = evalOnce(walls, lrRatio, urineInsetFrac, bSiFloorRatio, bSiFloorEdgeMin)
@@ -869,6 +936,8 @@ private fun capAxisFallback(
     urineInsetFrac: Double,
     bSiFloorRatio: Double?,
     bSiFloorEdgeMin: Double,
+    supine: Boolean = false,
+    mirrorBottomCap: Boolean = false,
 ): BVResult? {
     if (result == null) return null
     val bSi = result.capBSiMm
@@ -882,7 +951,7 @@ private fun capAxisFallback(
     // 떨어진다. 실측 f04 cyc20: 넘기면 249.95 mL, 안 넘기면 278.43 mL 로 후자가
     // 레퍼런스 값이다.
     val fb = evalOnce(walls, lrRatio, urineInsetFrac, bSiFloorRatio, bSiFloorEdgeMin,
-        ellipseCapHeight = false)
+        ellipseCapHeight = false, supine = supine, mirrorBottomCap = mirrorBottomCap)
     return if (fb != null && fb.volumeMl != 0.0) fb else result
 }
 
@@ -896,6 +965,8 @@ private fun evalOnce(
     ellipseCapHeight: Boolean = true,
     missingOutside: Set<Int>? = null,
     siFloor: Boolean = true,
+    supine: Boolean = false,
+    mirrorBottomCap: Boolean = false,
 ): BVResult? {
     val insetWalls: List<Pair<Double, Double>?> = walls.map { w ->
         w?.let {
@@ -909,7 +980,7 @@ private fun evalOnce(
     com.medithings.vesiscan.managers.GreenZoneConstants.lrRatioOverride = lrRatio
     return try {
         estimateBladderVolume6ch(insetWalls, bSiFloorRatio, bSiFloorEdgeMin, ellipseCapHeight,
-            missingOutside, siFloor)
+            missingOutside, siFloor, supine, mirrorBottomCap)
     } finally {
         com.medithings.vesiscan.managers.GreenZoneConstants.lrRatioOverride = prevOverride
     }
@@ -976,6 +1047,14 @@ fun estimateBladderVolume(
      * null 이면 극 cap clamp 를 언제나 상한으로 건다(기존 동작).
      */
     missingOutside: Set<Int>? = null,
+    /** Python `supine`(IMU tilt < 25°). nch=2 빔 clamp 와 F83 이 자세를 본다. */
+    supine: Boolean = false,
+    /**
+     * Python `mirror_bottom_cap`. 적도가 배열 fan 아래에 있어 관측 단면이 하단까지
+     * 계속 넓어지는 램프일 때 bottom cap 을 상단 전체 높이로 **미러링**한다.
+     * F83 이 base/mirror 두 값을 얻으려고 명시로 켠다 — 기존 경로는 켜지 않는다.
+     */
+    mirrorBottomCap: Boolean = false,
     /**
      * Python `COND_CLAMP == 'si'`. 켜져 있으면 미검출 채널에 span 이 있을 때 같은
      * 지점을 **하한**으로 쓴다. 레퍼런스 경로에서만 의미가 있다.
@@ -1313,9 +1392,9 @@ fun estimateBladderVolume(
     val vCore = vFrustum.sum()
 
     // 9) Caps — Bottom: spherical cap (shrink 시 R_eff 공유), Top: cone
-    val vBottom: Double
+    var vBottom: Double
     val vTop: Double
-    val bottomKind: String
+    var bottomKind: String
     val topKind: String
     if (rEffCap != null) {
         vBottom = sphericalCapVolume(rEffCap, hCapBot, lrRatio)
@@ -1333,12 +1412,43 @@ fun estimateBladderVolume(
         }
         hCapBot = applyCapDAdaptive(hCapBot, capDAdaptive)
         hCapTop = applyCapDAdaptive(hCapTop, capDAdaptive)
+        // nch=2 전용 빔 기하 상한 — 채널이 2개뿐이면 위쪽 top/bottom 채널 clamp 가
+        // 성립하지 않아(끝 채널이 곧 서로의 이웃) cap 이 무제한으로 외삽된다.
+        // 기존 경로에는 이 제약이 없었으므로 레퍼런스에서만 건다.
+        if (AlgoMode.reference && n == NCH2_SIBEAM_CLAMP_NCH &&
+            !(NCH2_SIBEAM_SKIP_SUPINE && supine)) {
+            val (bt, bb) = sibeamCapBounds(
+                validChannels, sortedCh, yS, dAnt, dPost, degreeDeg, sensorZMm)
+            if (bt != null) hCapTop = minOf(hCapTop, maxOf(0.0, bt))
+            if (bb != null) hCapBot = minOf(hCapBot, maxOf(0.0, bb))
+        }
         vBottom = sS[0] * hCapBot / 2.0 + Math.PI * hCapBot * hCapBot * hCapBot / 6.0
         vTop = sS[n - 1] * hCapTop / 3.0
         bottomKind = "$capKind sphere"
         topKind = "$capKind cone"
     }
 
+    // ── 적도 미관측 bottom cap 미러링 ────────────────────────────────────
+    // supine 큰 방광은 적도가 배열 fan 아래에 놓여, 관측 단면이 하단 edge 까지 계속
+    // 넓어지는 램프가 된다. cap 높이 상한이 천장을 만들어 미관측 caudal 반쪽을 못 채운다.
+    // **vTop 은 건드리지 않는다** — 레퍼런스 검증 A/B 가 vTop 고정 조건에서 이뤄졌다.
+    // `mirrorBottomCap` 은 F83 만 켜므로 기존 경로에서는 이 블록이 돌지 않는다.
+    if (mirrorBottomCap && n >= MIRROR_MIN_NCH && sortedCh[0] == 3) {
+        val monotone = (1 until n).all { aCapS[it] - aCapS[it - 1] < 0.0 }
+        if (monotone && aCapS[0] > 0 &&
+            (aCapS[0] - aCapS[1]) / aCapS[0] >= MIRROR_EDGE_MARGIN) {
+            val hMirror = (yS[n - 1] - yS[0]) + hCapTop
+            if (hMirror > 1e-6) {
+                val aB = aCapS[0]
+                hCapBot = hMirror
+                // 밑면 반경 aB · 높이 h 인 구면캡과 일관된 R (h>aB 면 R>aB → 밑면 아래가 넓어진다)
+                rEffCap = (aB * aB + hCapBot * hCapBot) / (2.0 * hCapBot)
+                vBottom = sphericalCapVolume(rEffCap!!, hCapBot, lrRatio)
+                bottomKind = "mirror sphere"
+            }
+        }
+    }
+
     // 10) 합산
     val bvMm3 = vCore + vBottom + vTop
 

app/src/main/java/com/medithings/vesiscan/managers/PiezoBVF83.kt

@@ -0,0 +1,226 @@
+/*
+ * F83 — 적도-밖 bottom cap 연속 보간. Python `volume/f83.py` 1:1.
+ */
+package com.medithings.vesiscan.managers
+
+import com.medithings.vesiscan.walldetect.MethodDResult
+import com.medithings.vesiscan.walldetect.MethodDRunner
+import kotlin.math.abs
+import kotlin.math.cos
+import kotlin.math.sqrt
+
+/**
+ * F83 — 적도-밖 bottom cap **연속 보간** (실리콘 · supine 전용).
+ *
+ * ## 문제
+ * supine 큰 방광은 적도가 배열 fan 아래에 놓여, 관측 단면이 하단 edge 까지 계속 넓어지는
+ * 램프가 된다. cap 높이 상한이 천장을 만들어 미관측 caudal 반쪽을 못 채운다.
+ * hard mirror([estimateBv] 의 `mirrorBottomCap`)는 이걸 해결하지만 **측정 안에서 부분
+ * 발동**해 rel 분포를 쪼갰고, 그 결과 선택위치 KPI 를 깎았다.
+ *
+ * ## 해법
+ * trace 내부 5-cycle window 6개로 **합의 강도를 재서 cap 높이를 연속 보간**한다.
+ * 과거 trace 도 정답 BV 도 쓰지 않는다(인과적). gate 통과율이 5/6 이상이면 hard mirror,
+ * 그 외에는 gate·형상·CH3 안정성의 곱으로 weight 를 만들어 base↔mirror 를 보간한다.
+ *
+ * ⚠ demo-final 에서는 **레퍼런스 경로 전용**이다. 미러 블록이 전제인데 기존
+ * 경로는 `mirrorBottomCap` 을 켜지 않으므로 게이트가 통과하지 않는다.
+ *
+ * ⚠ 이 경로는 sub-window 마다 **검출부터 다시 돌린다**. 순수 부피 계산이 아니라
+ * 파이프라인 전체가 필요하므로 `PiezoBVEstimator.kt` 가 아니라 여기에 둔다.
+ */
+object PiezoBVF83 {
+
+    /** 현재 10-cycle trace 안에서 쓰는 sub-window 길이. */
+    const val SUB_WIN = 5
+
+    /** 이 비율 이상 gate 를 통과하면 보간 없이 hard mirror. */
+    const val FORCE_RATE = 5.0 / 6.0
+
+    /**
+     * abs(v1/v2) 기기에서는 **순손실**이라 실리콘에서만 건다.
+     * Python `F83_SILICON_ONLY`.
+     */
+    const val SILICON_ONLY = true
+
+    private fun isSilicon(): Boolean = PiezoHW.activePreset.let {
+        it == PiezoHW.DevicePreset.R100 || it == PiezoHW.DevicePreset.R200 ||
+            it == PiezoHW.DevicePreset.R300
+    }
+
+    private fun ramp(x: Double, lo: Double, hi: Double): Double =
+        ((x - lo) / (hi - lo)).coerceIn(0.0, 1.0)
+
+    /** 구면캡 부피(기하) — 보간 가중치를 **높이**가 아니라 부피로 환산할 때 쓴다. */
+    private fun capGeom(a: Double, h: Double): Double =
+        Math.PI * h * (3.0 * a * a + h * h) / 6.0
+
+    /** mirror 가 실제로 발동했는가 = bottom cap 이 미러 구면으로 바뀌었는가. */
+    private fun gateOk(bv: BVResult?): Boolean = bv != null && bv.bottomKind == "mirror sphere"
+
+    /** CH3 단면 직경(mm). 미검출이면 NaN. */
+    private fun ch3D(results: List<MethodDResult?>): Double {
+        val r = results.getOrNull(3) ?: return Double.NaN
+        return (r.post - r.ant) * PiezoHW.distancePerSample *
+            cos(Math.toRadians(PiezoHW.degreeAll[3]))
+    }
+
+    /**
+     * base 와 mirror 의 **bottom cap 만** 높이-기하로 보간한 일관된 결과.
+     *
+     * 높이를 선형 보간한 뒤, 그 높이에 해당하는 **구면캡 부피 비율**로 부피를 섞는다.
+     * 부피를 바로 선형 보간하면 높이와 부피가 서로 안 맞는 결과가 나온다.
+     */
+    internal fun blend(base: BVResult?, mirror: BVResult?, weight: Double): BVResult? {
+        if (base == null || mirror == null || !gateOk(mirror) || weight <= 0.0) return base
+        if (weight >= 1.0) return mirror
+        val h0 = base.bottomHMm
+        val h1 = mirror.bottomHMm
+        if (h1 <= h0 + 1e-9) return base
+        if (base.sortedYMm.isEmpty()) return base
+        var argmin = 0
+        for (i in base.sortedYMm.indices) if (base.sortedYMm[i] < base.sortedYMm[argmin]) argmin = i
+        val bottomCh = base.sortedChannels[argmin]
+        val vi = base.validChannels.indexOf(bottomCh)
+        if (vi < 0) return base
+        val a = base.dMm[vi] / 2.0
+        val hb = h0 + weight * (h1 - h0)
+        val den = capGeom(a, h1) - capGeom(a, h0)
+        val frac = (if (abs(den) > 1e-9) (capGeom(a, hb) - capGeom(a, h0)) / den else weight)
+            .coerceIn(0.0, 1.0)
+        val vb = base.vBottomMm3 + frac * (mirror.vBottomMm3 - base.vBottomMm3)
+        val total = base.vCoreMm3 + vb + base.vTopMm3
+        return base.copy(
+            volumeMm3 = total,
+            volumeMl = total / 1000.0,
+            vBottomMm3 = vb,
+            bottomHMm = hb,
+            bottomKind = "f83 soft mirror",
+        )
+    }
+
+    /** F83 산출 부산물 — 부피에 영향이 없고 진단·기록용이다. */
+    data class F83Diag(
+        val weight: Double,
+        val gateRate: Double,
+        val shape: Double,
+        val d3Cv: Double,
+    )
+
+    /** [apply] 의 결과 + 진단. */
+    data class F83Result(val bv: BVResult?, val diag: F83Diag?)
+
+    /**
+     * 이미 구한 [walls]·[base] 에 F83 bottom cap 보간을 적용한다.
+     * Python `f83_apply`.
+     *
+     * @param cycleBlock (cycle, channel, sample) — 현재 trace 를 이룬 원본 cycle 들.
+     *        sub-window 재검출에 쓴다.
+     */
+    fun apply(
+        walls: List<WallWithSpan?>,
+        cycleBlock: List<List<DoubleArray>>,
+        supine: Boolean,
+        base: BVResult?,
+        missingOutside: Set<Int>? = null,
+        /**
+         * 호출부 walls 의 `si_floor` 태그. 검출기에서 온 walls 면 true, 합성 wall 이면
+         * false 다. **sub-window 쪽은 여기서 다시 검출하므로 항상 true** 라 따로 받지 않는다.
+         */
+        siFloor: Boolean = true,
+    ): F83Result {
+        val b = base ?: estimateBv(walls, missingOutside = missingOutside,
+            siFloor = siFloor, supine = supine)
+        if (!supine || b == null) return F83Result(b, null)
+        if (SILICON_ONLY && !isSilicon()) return F83Result(b, null)   // abs 는 순손실
+
+        val mirror = estimateBv(walls, missingOutside = missingOutside, siFloor = siFloor,
+            supine = supine, mirrorBottomCap = true)
+        if (!gateOk(mirror)) return F83Result(b, null)
+
+        val win = minOf(SUB_WIN, cycleBlock.size)
+        val subGate = ArrayList<Boolean>()
+        val shapes = ArrayList<Double>()
+        val d3s = ArrayList<Double>()
+        for (start in 0..(cycleBlock.size - win)) {
+            val trace = meanOf(cycleBlock.subList(start, start + win))
+            val outcome = MethodDRunner.detectMultichannelWithEvidence(trace, applyCross = true)
+            val subWalls = outcome.walls.map { r ->
+                r?.let { WallWithSpan(it.antRefined, it.postRefined, it.lowStart, it.lowEnd) }
+            }
+            val bv = estimateBv(subWalls,
+                missingOutside = outcome.missingOutside,
+                mirrorBottomCap = true)
+            subGate.add(gateOk(bv))
+            d3s.add(ch3D(outcome.walls))
+            if (bv != null && 3 in bv.validChannels && bv.sortedYMm.size >= 2) {
+                val d3 = bv.dMm[bv.validChannels.indexOf(3)]
+                if (d3 > 0) shapes.add((bv.sortedYMm.max() - bv.sortedYMm.min()) / d3)
+            }
+        }
+
+        val gateRate = if (subGate.isEmpty()) 0.0 else subGate.count { it }.toDouble() / subGate.size
+        val shape = if (shapes.isEmpty()) 0.0 else median(shapes.toDoubleArray())
+        val d3v = d3s.filter { it.isFinite() && it > 0 }.toDoubleArray()
+        val d3Cv = if (d3v.size >= 2) stdPop(d3v) / d3v.average() else 1.0
+
+        var weight = ramp(gateRate, 0.2, 0.8) *
+            ramp(shape, 0.35, 0.65) *
+            (1.0 - ramp(d3Cv, 0.02, 0.06))
+        if (gateRate >= FORCE_RATE) weight = 1.0
+
+        return F83Result(blend(b, mirror, weight), F83Diag(weight, gateRate, shape, d3Cv))
+    }
+
+    /**
+     * 현재 trace 의 cycle 들로 F83_100 BV 를 계산한다. Python `estimate_bv_f83_100`.
+     *
+     * [fullResults] 를 주면 평균 trace 재검출을 건너뛴다.
+     */
+    fun estimate(
+        cycleBlock: List<List<DoubleArray>>,
+        supine: Boolean,
+        fullResults: List<MethodDResult?>? = null,
+        fullMissingOutside: Set<Int>? = null,
+    ): F83Result {
+        require(cycleBlock.isNotEmpty()) { "cycleBlock 이 비어 있다" }
+        var mo = fullMissingOutside
+        val results = fullResults ?: run {
+            val o = MethodDRunner.detectMultichannelWithEvidence(
+                meanOf(cycleBlock), applyCross = true)
+            mo = o.missingOutside
+            o.walls
+        }
+        val walls = results.map { r ->
+            r?.let { WallWithSpan(it.antRefined, it.postRefined, it.lowStart, it.lowEnd) }
+        }
+        val base = estimateBv(walls, missingOutside = mo, supine = supine)
+        return apply(walls, cycleBlock, supine, base, mo)
+    }
+
+    /** cycle 들의 채널별 평균 — Python `block.mean(axis=0)`. */
+    private fun meanOf(cycles: List<List<DoubleArray>>): List<DoubleArray> {
+        val nCh = cycles[0].size
+        return (0 until nCh).map { ch ->
+            val len = cycles[0][ch].size
+            val acc = DoubleArray(len)
+            for (c in cycles) for (i in 0 until minOf(len, c[ch].size)) acc[i] += c[ch][i]
+            DoubleArray(len) { acc[it] / cycles.size }
+        }
+    }
+
+    private fun median(a: DoubleArray): Double {
+        val s = a.sortedArray()
+        val n = s.size
+        if (n == 0) return 0.0
+        return if (n % 2 == 1) s[n / 2] else (s[n / 2 - 1] + s[n / 2]) / 2.0
+    }
+
+    /** 모집단 표준편차 — numpy `std()` 기본(ddof=0)과 같다. */
+    private fun stdPop(a: DoubleArray): Double {
+        val m = a.average()
+        var acc = 0.0
+        for (x in a) acc += (x - m) * (x - m)
+        return sqrt(acc / a.size)
+    }
+}

app/src/main/java/com/medithings/vesiscan/ui/views/clinical/ClinicalLiveView.kt

@@ -146,7 +146,7 @@ fun ClinicalLiveView(appState: AppState) {
                 // `missingOutside` 는 극 cap clamp 의 방향(상한/하한)을 가르는 관측 증거다.
                 // 기존 경로에서는 검출기가 빈 집합을 주므로 null 로 넘겨 종전과 같이 동작한다.
                 bvMethodD = com.medithings.vesiscan.managers.estimateBv(
-                        mdWalls, missingOutside = mdOutcome.missingOutside.ifEmpty { null })
+                        mdWalls, missingOutside = mdOutcome.missingOutside)
                     ?.volumeMl?.takeIf { it.isFinite() && it > 0 }
             }
         }

app/src/main/java/com/medithings/vesiscan/ui/views/monitoring/PiezoMonitoringView.kt

@@ -374,7 +374,7 @@ fun PiezoMonitoringView(appState: AppState) {
                                 .detectMultichannelWithEvidence(signals)
                             val dets = outcome.walls
                             methodDDets = dets  // BV wrapper 경로에서 refined+span 재사용
-                            methodDMissingOutside = outcome.missingOutside.ifEmpty { null }
+                            methodDMissingOutside = outcome.missingOutside
                             for (i in 0..5) {
                                 val r = dets.getOrNull(i)
                                 if (r != null) allWalls[i] = Pair(r.ant, r.post)
@@ -452,7 +452,7 @@ fun PiezoMonitoringView(appState: AppState) {
                                 .detectMultichannelWithEvidence(signals)
                             val dets = outcome.walls
                             methodDDets = dets
-                            methodDMissingOutside = outcome.missingOutside.ifEmpty { null }
+                            methodDMissingOutside = outcome.missingOutside
                             dets.map { r -> r?.let { Pair(it.ant, it.post) } }
                         }
                     } else allWalls

app/src/main/java/com/medithings/vesiscan/walldetect/MethodDDetector.kt

@@ -49,11 +49,17 @@ data class MethodDResult(
     /** 초기 ant 후보 [(idx, score), ...] score 내림차순 — 02bed02 cross-channel tie-break 용.
      *  recovery 전 wall_select 결과를 그대로 노출 (Python: detector.py `ant_candidates`). */
     val antCandidates: List<Pair<Int, Double>> = emptyList(),
+    /**
+     * 초기 post 후보 [(idx, score), ...] score 내림차순 (Python `post_candidates`).
+     * 후벽 near-tie 판정([PostTieLock])에 쓴다.
+     */
+    val postCandidates: List<Pair<Int, Double>> = emptyList(),
 )
 
 object MethodDDetector {
 
-    private fun wallGateOk(antAmp: Double, postAmp: Double, lumenMin: Double, p: MethodDParams): Boolean {
+    /** Python `detector._wall_gate_ok`. [PostTieLock] 이 되돌린 뒤 재검증에 쓴다. */
+    fun wallGateOk(antAmp: Double, postAmp: Double, lumenMin: Double, p: MethodDParams): Boolean {
         val wallAmp = if (p.wallRatioUsePostOnly) postAmp else kotlin.math.min(antAmp, postAmp)
         return wallAmp / max(lumenMin, 1.0) >= p.minWallLumenRatio
     }
@@ -98,6 +104,8 @@ object MethodDDetector {
         // Python: tuple((int(c[0]), float(c[4])) for c in sorted(ant_res['candidates'], key=-x[4]))
         val antCandidates: List<Pair<Int, Double>> =
             antRes.candidates.sortedByDescending { it.score }.map { it.idx to it.score }
+        val postCandidates: List<Pair<Int, Double>> =
+            postRes.candidates.sortedByDescending { it.score }.map { it.idx to it.score }
 
         var antIdx = antRes.best.idx
         var antProm = antRes.best.prom
@@ -215,6 +223,7 @@ object MethodDDetector {
             sgHeavy = sgHeavy,
             sgLight = sgLight,
             antCandidates = antCandidates,
+            postCandidates = postCandidates,
         )
     }
 }

app/src/main/java/com/medithings/vesiscan/walldetect/MethodDRunner.kt

@@ -45,6 +45,10 @@ object MethodDRunner {
     /** dominant-pick 보호: raw 픽 score >= 이 배수 × 차순위 → 합의 교정에서 보존. */
     private const val ANT_DOMINANT_RATIO = 2.0
 
+    // 레퍼런스 경로의 교차채널 z 좌표용 전역 캘리브레이션. [zAt] 주석 참조.
+    private const val CCC_DISTANCE_PER_SAMPLE = 1.936
+    private const val CCC_DELAY_OFFSET_MM = 6.85
+
     /** neighbor_top_validate: nb-1→nb slope 가 이 이하면 "비증가 추세". */
     private const val NTV_SLOPE_EPS = 2.0
     /** neighbor_top_validate: top 이 예측보다 이만큼 깊으면 위반 (FP). */
@@ -97,8 +101,9 @@ object MethodDRunner {
         beamAnglesDeg: DoubleArray? = null,
         applyTgc: Boolean = true,
         applyCross: Boolean = true,
+        tieLock: PostTieLock? = null,
     ): List<MethodDResult?> = detectMultichannelWithEvidence(
-        signals, params, beamAnglesDeg, applyTgc, applyCross).walls
+        signals, params, beamAnglesDeg, applyTgc, applyCross, tieLock).walls
 
     fun detectMultichannelWithEvidence(
         signals: List<DoubleArray>,
@@ -106,6 +111,11 @@ object MethodDRunner {
         beamAnglesDeg: DoubleArray? = null,
         applyTgc: Boolean = true,
         applyCross: Boolean = true,
+        /**
+         * 후벽 near-tie trace lock 상태기. **측정 하나마다** 새로 만들어 trace 를 순서대로
+         * 넘겨야 의미가 있다. null 이면 미적용 — 기존 경로 호출부는 넘기지 않는다.
+         */
+        tieLock: PostTieLock? = null,
     ): DetectionOutcome {
         val angles = beamAnglesDeg ?: PiezoHW.degreeAll
         // 1) per-channel SG denoise (heavy + light)
@@ -128,6 +138,11 @@ object MethodDRunner {
         }
         val ref = com.medithings.vesiscan.managers.AlgoMode.reference
 
+        // ── 3) 후벽 near-tie trace lock ───────────────────────────────────
+        // 검출 뒤·교차채널 앞. 상태기를 넘겨야 동작하므로 넘기지 않는 기존 호출부는
+        // 아무 영향이 없다.
+        tieLock?.apply(results, params)
+
         // ── 2) 검출 실패 채널만 SG5 로 재탐색 (레퍼런스 경로 전용) ─────────────
         // 이미 검출된 채널은 건드리지 않는다 — 얻는 것은 커버리지뿐이고 측정면은 불변.
         if (ref && SCALE_RECOVERY && applyCross) {
@@ -136,9 +151,12 @@ object MethodDRunner {
 
         // ── 4) 미검출 채널의 span 유무 판정 (레퍼런스 경로 전용) ───────────────
         // **CCC 앞에서** 계산한다 — CCC 가 복구한 채널은 '방광 밖'이 아니다.
-        val missingOut: Set<Int> =
+        // **null 과 빈 집합은 다르다.** null = 계산 안 함 → cap clamp 를 언제나 상한으로.
+        // 빈 집합 = 계산했고 '방광 밖' 채널이 없다 → 미검출 채널은 전부 span 이 있다는
+        // 뜻이라 하한 쪽으로 간다. 뭉개면 si_floor 가 가장 흔한 경우에 통째로 죽는다.
+        val missingOut: Set<Int>? =
             if (ref && applyCross) missingOutside(results, lightTgc, heavyTgc, angles, params)
-            else emptySet()
+            else null
 
         // ── 5) 교차채널 보정 ───────────────────────────────────────────────
         if (applyCross) {
@@ -177,7 +195,7 @@ object MethodDRunner {
      */
     data class DetectionOutcome(
         val walls: List<MethodDResult?>,
-        val missingOutside: Set<Int>,
+        val missingOutside: Set<Int>?,
     )
 
     /**
@@ -554,11 +572,12 @@ object MethodDRunner {
     // 공통 helpers
     // ─────────────────────────────────────────────────────────────────────────
 
-    /** z(i, idx) = (DELAY_OFFSET_MM + idx * DISTANCE_PER_SAMPLE) * cos(angle_i)  — sample_to_ap_depth. */
+    /**
-    private fun zOf(angles: DoubleArray, ch: Int, idx: Int): Double {
+     * z(i, idx) — `sample_to_ap_depth`. 좌표계 선택은 [zAt] 이 한다(모드에 따라 갈린다).
-        val ang = if (ch < angles.size) angles[ch] else 0.0
+     * 여기서 따로 계산하면 `ant_tiebreak` 만 다른 좌표를 쓰게 된다.
-        return (PiezoHW.delayOffsetMm + idx * PiezoHW.distancePerSample) * cos(Math.toRadians(ang))
+     */
-    }
+    private fun zOf(angles: DoubleArray, ch: Int, idx: Int): Double =
+        zAt(if (ch < angles.size) angles[ch] else 0.0, idx)
 
     /** numpy.median 동작 매칭 — 짝수 길이면 두 가운데 값의 평균. */
     private fun median(xs: List<Double>): Double {
@@ -580,9 +599,23 @@ object MethodDRunner {
 
     // ═══ 레퍼런스 경로 전용 ([AlgoMode.reference]) ═══════════════════
 
-    /** z(angle, idx) — angle 을 직접 받는 sample_to_ap_depth. vdipDeepCandidate 재사용. */
+    /**
+     * z(angle, idx) — angle 을 직접 받는 `sample_to_ap_depth`.
+     *
+     * ⚠ 레퍼런스 경로에서는 **프리셋이 아니라 전역 캘리브레이션 상수**를 쓴다.
+     * `wall_correction/cross_channel._z` 가 `sample_to_ap_depth(idx, angle)` 를 인자 없이
+     * 불러 모듈 기본값(1.936 / 6.85)으로 떨어지기 때문이다. BV 쪽은 프리셋 값을 명시로
+     * 넘기므로 두 좌표계가 서로 다르다 — abs(v*)는 값이 같아 표가 안 나지만 실리콘
+     * (r*: 1.897/7.651)에서는 갈린다. 실측 f06/r1 단일 cycle 에서 CH0 전벽이 8 vs 14 로
+     * 갈려 부피가 439.88 vs 416.95 mL 이 됐다.
+     *
+     * 기존 경로는 프리셋 값을 그대로 쓴다 — 오늘 임상이 그 위에서 돌았다.
+     */
     private fun zAt(angleDeg: Double, idx: Int): Double =
-        (PiezoHW.delayOffsetMm + idx * PiezoHW.distancePerSample) * cos(Math.toRadians(angleDeg))
+        if (com.medithings.vesiscan.managers.AlgoMode.reference)
+            (CCC_DELAY_OFFSET_MM + idx * CCC_DISTANCE_PER_SAMPLE) * cos(Math.toRadians(angleDeg))
+        else
+            (PiezoHW.delayOffsetMm + idx * PiezoHW.distancePerSample) * cos(Math.toRadians(angleDeg))
 
     /** numpy.median 동작 매칭 — 짝수 길이면 두 가운데 값의 평균. */
     /**

app/src/main/java/com/medithings/vesiscan/walldetect/PostTieLock.kt

@@ -0,0 +1,115 @@
+/*
+ * 후벽 near-tie 인과적 trace lock — Python `wall_correction/post_tie_lock.py` 1:1.
+ */
+package com.medithings.vesiscan.walldetect
+
+import com.medithings.vesiscan.walldetect.algo.methodd.MethodDParams
+import kotlin.math.abs
+
+/**
+ * 후벽 near-tie 구간에서만 **직전 trace 의 선택을 유지**하는 채널별 상태기.
+ *
+ * ## 무엇이 문제인가
+ * 후벽 후보 score = `prom^γ / (1 + dist_decay·dist)` 의 두 항이 구조적으로 상쇄되는
+ * 형상이 있다. 레퍼런스 실측 p2_2/v2/supine/1cm CH1: 후보 63/65 에서 65 는 prominence 가
+ * 8.8% 크지만(γ=1.5 → +13.5%) span edge 에서 2 sample 더 멀어 거리 패널티가 −13.3% —
+ * 격차가 **0.02%** 까지 붙는다. 그 상태에서 idx 63 진폭이 trace 간 +13 ADC(+1.0%) 흔들린
+ * 것만으로 선택이 뒤집히고, 그 2 sample 이 교차채널 Rule B 의 기울기 부호까지 바꿔
+ * CH0 삭제/유지를 가른다.
+ *
+ * 전 데이터 5773 결정 기준: 상위 1·2위 격차 <5% 인 결정이 8.7%, <10% 가 17.9%
+ * (중앙값 격차 36.4%). **토글 채널의 측정내 최소격차 중앙값 9.2% vs 비토글 49.6%** —
+ * tie 가 토글의 5배 강한 예측자다. 토글 채널 수와 측정 bv_cv 도 함께 움직인다
+ * (0~1개 6.2~6.8% → 3개 10.7%).
+ *
+ * ## 왜 '고정'이지 '보정'이 아닌가
+ * 같은 문제에 방향을 강제한 앞선 시도들은 전부 실패했다 — 깊은-peak 고정은 전역 회귀,
+ * 인접 골 tie-break 는 항상 얕은 쪽을 골라 계통 과소추정을 되살렸다(abs −2.3~−4.8pp).
+ * tie 밴드에서는 **정의상 두 후보의 증거가 거의 같다.** 그러니 어느 쪽이 옳은지 정하지
+ * 말고 직전 선택을 유지하면, 기대값 상 깊은/얕은 어느 쪽으로도 편향되지 않으면서
+ * 토글만 사라진다. 과거만 참조하므로 실시간 경로에도 쓸 수 있다.
+ *
+ * ## 쓰는 법
+ * 측정(위치) 하나마다 인스턴스를 새로 만들고, trace 를 **순서대로** 넘긴다.
+ * 검출 **뒤**·교차채널 **앞**에 걸린다.
+ * ```
+ * val lock = PostTieLock()
+ * for (trace in traces) {
+ *     MethodDRunner.detectMultichannelWithEvidence(trace, tieLock = lock)
+ * }
+ * ```
+ */
+class PostTieLock(
+    private val tieMargin: Double = TIE_MARGIN,
+    private val maxSep: Int = MAX_LOCK_SEP,
+) {
+    /** 채널 → 직전 trace 에서 최종 채택된 후벽 index. */
+    private val prev = HashMap<Int, Int>()
+
+    /** 지금까지 되돌린 횟수(진단용). */
+    var nLocked: Int = 0
+        private set
+
+    fun reset() {
+        prev.clear()
+        nLocked = 0
+    }
+
+    /**
+     * 검출 결과(교차채널 前)를 제자리에서 보정한다. tie 인 채널만 직전 선택을 유지한다.
+     *
+     * 되돌린 뒤에도 검출기와 **같은** wall/lumen 게이트를 다시 통과해야 한다 — 고정이
+     * 검출기가 애초에 기각했을 후벽을 되살리면 안 된다.
+     */
+    fun apply(results: List<MethodDResult?>, params: MethodDParams = MethodDParams.DEFAULT) {
+        for (ch in CENTER_CH) {
+            if (ch >= results.size) continue
+            val r = results[ch] ?: continue
+            val cur = r.post
+            val cands = r.postCandidates
+            val p = prev[ch]
+            if (p != null && p != cur && cands.size >= 2) {
+                // 상위 1·2위 상대격차. 작을수록 두 후보의 증거가 같다는 뜻이다.
+                val gap = cands[0].second / maxOf(cands[1].second, 1e-12) - 1.0
+                val tied = cands.filter { it.second >= cands[0].second / (1.0 + tieMargin) }
+                if (gap <= tieMargin &&
+                    tied.any { it.first == p } &&
+                    (maxSep <= 0 || abs(p - cur) <= maxSep) &&
+                    gateOk(r, p, params)
+                ) {
+                    r.post = p
+                    r.postRefined = p.toDouble()
+                    r.urineLen = p - r.ant - 1
+                    nLocked++
+                }
+            }
+            prev[ch] = r.post
+        }
+    }
+
+    /** 되돌린 후벽이 검출기와 동일한 wall/lumen 게이트를 통과하는가. */
+    private fun gateOk(r: MethodDResult, newPost: Int, params: MethodDParams): Boolean {
+        val lt = r.sgLight
+        val hv = r.sgHeavy
+        val ls = r.lowStart
+        val le = r.lowEnd
+        if (newPost <= 0 || newPost >= lt.size || le <= ls) return false
+        if ((newPost - r.ant - 1) < params.minUrineLen) return false
+        var lumenMin = Double.MAX_VALUE
+        for (i in ls..le) if (hv[i] < lumenMin) lumenMin = hv[i]
+        return MethodDDetector.wallGateOk(lt[r.ant], lt[newPost], lumenMin, params)
+    }
+
+    companion object {
+        /** Python `config_wc.TIE_MARGIN` — 상위 1·2위 상대격차가 이 이하면 tie. */
+        const val TIE_MARGIN = 0.10
+
+        /** Python `config_wc.MAX_LOCK_SEP` — 되돌릴 수 있는 최대 index 이동. 0 = 무제한. */
+        const val MAX_LOCK_SEP = 2
+
+        /** Python `config_wc.ENABLED`. 호출부가 측정마다 상태기를 만들어 넘긴다. */
+        const val ENABLED = true
+
+        private val CENTER_CH = intArrayOf(0, 1, 2, 3)
+    }
+}

app/src/test/java/com/medithings/vesiscan/managers/AlgoModeSwitchTest.kt

@@ -44,10 +44,10 @@ class AlgoModeSwitchTest {
                 val walls = o.walls.map { r ->
                     r?.let { WallWithSpan(it.antRefined, it.postRefined, it.lowStart, it.lowEnd) }
                 }
-                val bv = estimateBv(walls, missingOutside = o.missingOutside.ifEmpty { null })
+                val bv = estimateBv(walls, missingOutside = o.missingOutside)
                 out.add("$cm/$cyc " + o.walls.joinToString(",") { r ->
                     r?.let { "${it.ant}-${it.post}" } ?: "-"
-                } + " mo=${o.missingOutside.sorted()} bv=${"%.4f".format(bv?.volumeMl ?: -1.0)}")
+                } + " mo=${(o.missingOutside ?: emptySet()).sorted()} bv=${"%.4f".format(bv?.volumeMl ?: -1.0)}")
             }
         }
         return out

app/src/test/java/com/medithings/vesiscan/managers/LegacyEquivalenceDumpTest.kt

@@ -40,6 +40,10 @@ class LegacyEquivalenceDumpTest {
 
     @Test
     fun dump() {
+        // `PiezoHW.activePreset` 은 전역 가변 상태다. 다른 테스트 클래스가 먼저 돌면서
+        // 프리셋을 바꿔 두면 이 덤프가 통째로 달라진다(실제로 한 번 착시를 만들었다).
+        // 기본값으로 못 박아 실행 순서와 무관하게 만든다.
+        PiezoHW.activePreset = PiezoHW.DevicePreset.V0
         val sb = StringBuilder()
         for (cm in 0..1) {
             val cycles = loadCycles("align_cm$cm.csv")

app/src/test/java/com/medithings/vesiscan/managers/ThreeFeatureParityTest.kt

@@ -0,0 +1,272 @@
+package com.medithings.vesiscan.managers
+
+import com.medithings.vesiscan.walldetect.MethodDRunner
+import com.medithings.vesiscan.walldetect.PostTieLock
+import org.junit.After
+import org.junit.Before
+import org.junit.Assert.assertEquals
+import org.junit.Assert.assertTrue
+import org.junit.Test
+import java.io.File
+
+/**
+ * 이번에 옮긴 3건의 레퍼런스 대조 — `post_tie_lock` · `_sibeam_cap_bounds` · F83.
+ *
+ * **레퍼런스 경로 전용** — dev 스위치를 켠 상태의 값을 본다. 기대값은
+ * `piezo-phantom-test/vesiscan_test` 를 그대로 돌려 만든 것이다(스크래치의 `dump3.py`). 실데이터(data123)는 abs 인체 0~4cm 라 미러·nch=2 구간에 거의 닿지
+ * 않으므로, 그 경로는 **합성 입력으로 레퍼런스 함수를 직접 호출한** 기대값으로 덮는다.
+ */
+class ThreeFeatureParityTest {
+
+    // 이 대조는 **레퍼런스 경로**를 검증한다. 기존 경로는 별도로
+    // `LegacyEquivalenceDumpTest` 가 HEAD 덤프와 대조해 무변경을 증명한다.
+    @Before fun on() { AlgoMode.reference = true }
+    @After fun off() { AlgoMode.reference = false }
+
+    private fun rows(name: String): List<List<String>> {
+        val txt = javaClass.classLoader!!.getResourceAsStream(name)!!
+            .bufferedReader().use { it.readText() }
+        return txt.lineSequence().filter { it.isNotBlank() }.drop(1)
+            .map { it.split("\t") }.toList()
+    }
+
+    private fun d(s: String): Double? =
+        when (s) { "-" -> null; "nan" -> Double.NaN; else -> s.toDouble() }
+
+    /** 세션 파일 → 최대 20 cycle × 6채널. Python 쪽 `load()` 와 같은 규약. */
+    private fun loadBlock(path: String): List<List<DoubleArray>> {
+        val root = com.google.gson.JsonParser.parseReader(File(path).bufferedReader())
+            .asJsonObject
+        val out = ArrayList<List<DoubleArray>>()
+        for (r in root.getAsJsonArray("records")) {
+            if (out.size >= 20) break
+            val chs = r.asJsonObject.getAsJsonArray("channels") ?: continue
+            if (chs.size() != 6) continue
+            val by = HashMap<Int, DoubleArray>()
+            for (ce in chs) {
+                val co = ce.asJsonObject
+                val data = co.getAsJsonArray("data") ?: continue
+                if (data.size() != 100) continue
+                by[co.get("ch").asInt] = DoubleArray(100) { data[it].asDouble }
+            }
+            if (by.size == 6) out.add((0..5).map { by[it]!! })
+        }
+        return out
+    }
+
+    private val dataDir = "c:/Projects/vesiscan-design-archive/data123"
+
+    /** Python `FILES` 는 파일명 정렬 순, 10 cycle 이상만 `f{index}` 로 남는다. */
+    private val blocks: Map<String, List<List<DoubleArray>>> by lazy {
+        val files = File(dataDir).listFiles { f -> f.name.endsWith(".json") }!!
+            .sortedBy { it.name }
+        val m = LinkedHashMap<String, List<List<DoubleArray>>>()
+        files.forEachIndexed { i, f ->
+            val b = loadBlock(f.absolutePath)
+            if (b.size >= 10) m["f%02d".format(i)] = b
+        }
+        m
+    }
+
+    private fun preset(ver: String) {
+        PiezoHW.activePreset =
+            if (ver == "r1") PiezoHW.DevicePreset.R100 else PiezoHW.DevicePreset.V1
+    }
+
+    private fun mean(cycles: List<List<DoubleArray>>): List<DoubleArray> =
+        (0 until 6).map { ch ->
+            val len = cycles[0][ch].size
+            DoubleArray(len) { i -> cycles.sumOf { it[ch][i] } / cycles.size }
+        }
+
+    // ── 1) post_tie_lock ──────────────────────────────────────────────────
+    @Test
+    fun `post_tie_lock 이 레퍼런스와 같은 후벽을 고른다`() {
+        val exp = rows("tie_expect.tsv")
+        assertTrue("기대값이 비었다", exp.size > 500)
+        // (session, ver, win) 별로 trace 를 순서대로 돌려야 상태기가 의미를 갖는다.
+        val groups = exp.groupBy { Triple(it[0], it[1], it[2].toInt()) }
+        var checked = 0
+        var locked = 0
+        for ((key, g) in groups) {
+            val (sid, ver, win) = key
+            val block = blocks[sid] ?: continue
+            preset(ver)
+            val nTrace = block.size - win + 1
+            val baseline = ArrayList<List<Int?>>(nTrace)
+            for (i in 0 until nTrace) {
+                val w = MethodDRunner.detectMultichannel(
+                    mean(block.subList(i, i + win)), applyCross = false)
+                baseline.add((0..3).map { w.getOrNull(it)?.post })
+            }
+            val lock = PostTieLock()
+            val after = ArrayList<Pair<List<Int?>, Int>>(nTrace)
+            for (i in 0 until nTrace) {
+                val w = MethodDRunner.detectMultichannel(
+                    mean(block.subList(i, i + win)), applyCross = false, tieLock = lock)
+                after.add((0..3).map { w.getOrNull(it)?.post } to lock.nLocked)
+            }
+            for (r in g) {
+                val ti = r[3].toInt(); val ch = r[4].toInt()
+                val eb = if (r[5] == "-") null else r[5].toInt()
+                val ea = if (r[6] == "-") null else r[6].toInt()
+                val en = r[7].toInt()
+                assertEquals("$sid/$ver/win$win/tr$ti/ch$ch base", eb, baseline[ti][ch])
+                assertEquals("$sid/$ver/win$win/tr$ti/ch$ch lock", ea, after[ti].first[ch])
+                assertEquals("$sid/$ver/win$win/tr$ti/ch$ch n_locked", en, after[ti].second)
+                if (eb != ea) locked++
+                checked++
+            }
+        }
+        println("[tie] $checked 행 · 실제 lock 발동 $locked 건")
+        assertTrue("lock 이 한 번도 발동하지 않았다 — 대조가 무의미하다", locked > 0)
+    }
+
+    // ── 2) 실데이터 BV (supine on/off · nch=2 sibeam 포함) ────────────────
+    @Test
+    fun `실데이터 BV 가 레퍼런스와 일치한다`() {
+        val exp = rows("bv3_expect.tsv")
+        var n = 0
+        var nch2 = 0
+        val bad = ArrayList<String>()
+        for (r in exp) {
+            val (sid, ver) = r[0] to r[1]
+            val win = r[2].toInt(); val ti = r[3].toInt(); val sup = r[4] == "1"
+            val block = blocks[sid] ?: continue
+            preset(ver)
+            val o = MethodDRunner.detectMultichannelWithEvidence(
+                mean(block.subList(ti, ti + win)), applyCross = true)
+            val walls = o.walls.map { w ->
+                w?.let { WallWithSpan(it.antRefined, it.postRefined, it.lowStart, it.lowEnd) }
+            }
+            val bv = estimateBv(walls, missingOutside = o.missingOutside, supine = sup)
+            val tag = "$sid/$ver/win$win/tr$ti/sup${r[4]}"
+            val got = bv?.validChannels?.size ?: -1
+            if (got != r[5].toInt()) bad.add("$tag nch ${r[5]} != $got")
+            else if (bv != null) {
+                if (Math.abs(d(r[6])!! - bv.volumeMl) > 1e-6)
+                    bad.add("$tag vol ${r[6]} != %.6f".format(bv.volumeMl))
+                else if (Math.abs(d(r[7])!! - bv.topHMm) > 1e-6)
+                    bad.add("$tag top ${r[7]} != %.6f".format(bv.topHMm))
+                else if (Math.abs(d(r[8])!! - bv.bottomHMm) > 1e-6)
+                    bad.add("$tag bot ${r[8]} != %.6f".format(bv.bottomHMm))
+                else if (r[9] != bv.bottomKind) bad.add("$tag kind ${r[9]} != ${bv.bottomKind}")
+            }
+            if (bv != null && bv.validChannels.size == 2) nch2++
+            n++
+        }
+        println("[bv] $n 행 중 불일치 ${bad.size} (nch=2 $nch2 건)")
+        bad.take(15).forEach { println("   $it") }
+        assertTrue(n > 500)
+        assertTrue("불일치 ${bad.size}건", bad.isEmpty())
+    }
+
+    // ── 3) _sibeam_cap_bounds 직접 대조 ───────────────────────────────────
+    @Test
+    fun `sibeam cap 상한이 레퍼런스와 일치한다`() {
+        val exp = rows("sibeam_expect.tsv")
+        var nonNull = 0
+        for (r in exp) {
+            preset(r[1])
+            val valid = r[2].split(",").map { it.toInt() }
+            val sorted = r[3].split(",").map { it.toInt() }
+            val dant = r[6].split(",").map { it.toDouble() }
+            val dpost = r[7].split(",").map { it.toDouble() }
+            // y 는 정렬된 값이라 양 끝만 기록했다. 가운데는 선형 보간으로 되돌린다
+            // (함수가 쓰는 것은 y_s[0]·y_s[-1] 뿐이다).
+            val n = sorted.size
+            val y0 = d(r[4])!!; val y1 = d(r[5])!!
+            val ys = DoubleArray(n) { if (n == 1) y0 else y0 + (y1 - y0) * it / (n - 1) }
+            val (bt, bb) = sibeamCapBounds(valid, sorted, ys, dant, dpost,
+                PiezoHW.degreeAll, PiezoHW.sensorZMmAll)
+            val tag = "case${r[0]}/${r[1]}"
+            assertEquals("$tag top null 여부", r[8] == "-", bt == null)
+            assertEquals("$tag bot null 여부", r[9] == "-", bb == null)
+            if (bt != null) assertEquals("$tag top", d(r[8])!!, bt, 1e-6)
+            if (bb != null) assertEquals("$tag bot", d(r[9])!!, bb, 1e-6)
+            if (bt != null || bb != null) nonNull++
+        }
+        println("[sibeam] ${exp.size} 행 일치 (상한 산출 $nonNull 건)")
+        assertTrue(nonNull > 50)
+    }
+
+    /** `"a,b,ls,le;..."` → walls. 합성 케이스의 입력 형식. */
+    private fun parseWalls(s: String): List<WallWithSpan?> =
+        s.split(";").map { t ->
+            if (t == "-") null else t.split(",").let {
+                WallWithSpan(it[0].toDouble(), it[1].toDouble(), it[2].toInt(), it[3].toInt())
+            }
+        }
+
+    // ── 4) 합성 wall → BV (mirror 블록 포함) ──────────────────────────────
+    @Test
+    fun `합성 wall BV 가 레퍼런스와 일치한다 - mirror 포함`() {
+        val exp = rows("bvsynth_expect.tsv")
+        var mirrored = 0
+        for (r in exp) {
+            preset(r[1])
+            val walls = parseWalls(r[4])
+            // Python 은 태그 없는 순수 리스트를 넘긴다 → missing_outside=None, si_floor=False.
+            val bv = estimateBv(walls, missingOutside = null, siFloor = false,
+                supine = r[2] == "1", mirrorBottomCap = r[3] == "1")
+            val tag = "case${r[0]}/${r[1]}/sup${r[2]}/mir${r[3]}"
+            assertEquals("$tag nch", r[5].toInt(), bv?.validChannels?.size ?: -1)
+            if (bv == null) continue
+            assertEquals("$tag vol", d(r[6])!!, bv.volumeMl, 1e-6)
+            assertEquals("$tag top_h", d(r[7])!!, bv.topHMm, 1e-6)
+            assertEquals("$tag bot_h", d(r[8])!!, bv.bottomHMm, 1e-6)
+            assertEquals("$tag kind", r[9], bv.bottomKind)
+            if (bv.bottomKind == "mirror sphere") mirrored++
+        }
+        println("[bvsynth] ${exp.size} 행 일치 (mirror sphere $mirrored 건)")
+        assertTrue("미러 블록을 한 번도 안 밟았다", mirrored > 50)
+    }
+
+    // ── 5) F83 blend ──────────────────────────────────────────────────────
+    @Test
+    fun `F83 보간이 레퍼런스와 일치한다`() {
+        val exp = rows("f83blend_expect.tsv")
+        val kinds = HashSet<String>()
+        for (r in exp) {
+            preset(r[1])
+            val walls = parseWalls(r[3])
+            val base = estimateBv(walls, missingOutside = null, siFloor = false,
+                supine = true, mirrorBottomCap = false)
+            val mirror = estimateBv(walls, missingOutside = null, siFloor = false,
+                supine = true, mirrorBottomCap = true)
+            val out = PiezoBVF83.blend(base, mirror, d(r[2])!!)
+            val tag = "case${r[0]}/${r[1]}/w${r[2]}"
+            assertEquals("$tag vol", d(r[4])!!, out!!.volumeMl, 1e-6)
+            assertEquals("$tag bot_h", d(r[5])!!, out.bottomHMm, 1e-6)
+            assertEquals("$tag kind", r[6], out.bottomKind)
+            kinds.add(out.bottomKind)
+        }
+        println("[f83blend] ${exp.size} 행 일치 · bottom_kind ${kinds.sorted()}")
+        assertTrue("보간 구간을 안 밟았다", "f83 soft mirror" in kinds)
+    }
+
+    // ── 6) f83_apply — sub-window 재검출 루프 ─────────────────────────────
+    @Test
+    fun `F83 sub-window 합의 산식이 레퍼런스와 일치한다`() {
+        val exp = rows("f83apply_expect.tsv")
+        assertTrue("기대값이 비었다", exp.isNotEmpty())
+        val synth = rows("bvsynth_expect.tsv").associateBy { it[0] }
+        for (r in exp) {
+            preset("r1")
+            val walls = parseWalls(synth[r[0]]!![4])
+            val block = blocks[r[1]]!!.subList(0, 10)
+            val base = estimateBv(walls, missingOutside = null, siFloor = false, supine = true)
+            val out = PiezoBVF83.apply(walls, block, supine = true, base = base,
+                missingOutside = null, siFloor = false)
+            val tag = "case${r[0]}/${r[1]}"
+            assertEquals("$tag vol", d(r[2])!!, out.bv!!.volumeMl, 1e-6)
+            assertEquals("$tag kind", r[3], out.bv!!.bottomKind)
+            // 기대값이 %.6f 로 반올림돼 있으므로 표기 정밀도(5e-7)보다 느슨하게 본다.
+            assertEquals("$tag weight", d(r[4])!!, out.diag!!.weight, 1e-6)
+            assertEquals("$tag gate_rate", d(r[5])!!, out.diag!!.gateRate, 1e-6)
+            assertEquals("$tag shape", d(r[6])!!, out.diag!!.shape, 1e-6)
+            assertEquals("$tag d3_cv", d(r[7])!!, out.diag!!.d3Cv, 1e-6)
+        }
+        println("[f83apply] ${exp.size} 행 일치")
+    }
+}

app/src/test/resources/bv3_expect.tsv

@@ -0,0 +1,785 @@
+session	ver	win	trace	supine	nch	vol_ml	top_h	bot_h	bottom_kind
+f00	v1	1	0	0	4	339.192413	23.885641	10.512293	shrink sphere
+f00	v1	1	0	1	4	339.192413	23.885641	10.512293	shrink sphere
+f00	v1	1	1	0	4	206.581181	24.794042	0.000000	shrink sphere
+f00	v1	1	1	1	4	206.581181	24.794042	0.000000	shrink sphere
+f00	v1	1	2	0	4	382.995553	20.355190	0.883455	shrink sphere
+f00	v1	1	2	1	4	382.995553	20.355190	0.883455	shrink sphere
+f00	v1	1	3	0	4	230.847041	13.570179	1.179278	shrink sphere
+f00	v1	1	3	1	4	230.847041	13.570179	1.179278	shrink sphere
+f00	v1	1	4	0	4	391.338317	20.365652	1.393223	shrink sphere
+f00	v1	1	4	1	4	391.338317	20.365652	1.393223	shrink sphere
+f00	v1	1	5	0	3	426.036997	26.523068	18.064689	shrink sphere
+f00	v1	1	5	1	3	426.036997	26.523068	18.064689	shrink sphere
+f00	v1	1	6	0	4	352.108318	13.040574	0.987162	shrink sphere
+f00	v1	1	6	1	4	352.108318	13.040574	0.987162	shrink sphere
+f00	v1	1	7	0	4	357.033240	26.551108	1.128339	shrink sphere
+f00	v1	1	7	1	4	357.033240	26.551108	1.128339	shrink sphere
+f00	v1	1	8	0	4	364.168927	27.859327	1.172735	shrink sphere
+f00	v1	1	8	1	4	364.168927	27.859327	1.172735	shrink sphere
+f00	v1	1	9	0	4	373.897301	19.207273	3.213243	shrink sphere
+f00	v1	1	9	1	4	373.897301	19.207273	3.213243	shrink sphere
+f00	v1	1	10	0	4	402.985477	29.961249	1.585325	shrink sphere
+f00	v1	1	10	1	4	402.985477	29.961249	1.585325	shrink sphere
+f00	v1	1	11	0	4	403.447754	27.652709	1.043799	shrink sphere
+f00	v1	1	11	1	4	403.447754	27.652709	1.043799	shrink sphere
+f00	v1	1	12	0	4	333.801659	36.365973	1.502992	shrink sphere
+f00	v1	1	12	1	4	333.801659	36.365973	1.502992	shrink sphere
+f00	v1	1	13	0	4	318.189418	24.696205	0.000000	shrink sphere
+f00	v1	1	13	1	4	318.189418	24.696205	0.000000	shrink sphere
+f00	v1	1	14	0	4	358.326315	26.643661	3.161123	shrink sphere
+f00	v1	1	14	1	4	358.326315	26.643661	3.161123	shrink sphere
+f00	v1	1	15	0	4	316.405123	27.009630	2.032688	shrink sphere
+f00	v1	1	15	1	4	316.405123	27.009630	2.032688	shrink sphere
+f00	v1	1	16	0	4	306.425763	29.983493	0.000000	shrink sphere
+f00	v1	1	16	1	4	306.425763	29.983493	0.000000	shrink sphere
+f00	v1	1	17	0	4	295.715720	29.406887	0.000000	shrink sphere
+f00	v1	1	17	1	4	295.715720	29.406887	0.000000	shrink sphere
+f00	v1	1	18	0	4	397.861178	18.718561	1.489744	shrink sphere
+f00	v1	1	18	1	4	397.861178	18.718561	1.489744	shrink sphere
+f00	v1	1	19	0	4	354.571531	12.604093	1.110433	shrink sphere
+f00	v1	1	19	1	4	354.571531	12.604093	1.110433	shrink sphere
+f00	v1	3	0	0	4	235.601690	30.139079	0.000000	shrink sphere
+f00	v1	3	0	1	4	235.601690	30.139079	0.000000	shrink sphere
+f00	v1	3	1	0	4	224.697137	24.914542	0.000000	shrink sphere
+f00	v1	3	1	1	4	224.697137	24.914542	0.000000	shrink sphere
+f00	v1	3	2	0	4	367.275422	18.432458	1.408502	shrink sphere
+f00	v1	3	2	1	4	367.275422	18.432458	1.408502	shrink sphere
+f00	v1	3	3	0	4	387.991257	14.926068	1.187709	shrink sphere
+f00	v1	3	3	1	4	387.991257	14.926068	1.187709	shrink sphere
+f00	v1	3	4	0	4	408.484849	37.433017	2.760857	shrink sphere
+f00	v1	3	4	1	4	408.484849	37.433017	2.760857	shrink sphere
+f00	v1	3	5	0	4	411.402489	41.261918	2.157801	shrink sphere
+f00	v1	3	5	1	4	411.402489	41.261918	2.157801	shrink sphere
+f00	v1	3	6	0	4	371.997775	27.747449	1.333123	shrink sphere
+f00	v1	3	6	1	4	371.997775	27.747449	1.333123	shrink sphere
+f00	v1	3	7	0	4	357.710492	26.761840	1.309889	shrink sphere
+f00	v1	3	7	1	4	357.710492	26.761840	1.309889	shrink sphere
+f00	v1	3	8	0	4	373.124156	27.101464	3.806531	shrink sphere
+f00	v1	3	8	1	4	373.124156	27.101464	3.806531	shrink sphere
+f00	v1	3	9	0	4	408.573164	28.114642	3.676831	shrink sphere
+f00	v1	3	9	1	4	408.573164	28.114642	3.676831	shrink sphere
+f00	v1	3	10	0	4	401.853726	29.983493	1.477999	shrink sphere
+f00	v1	3	10	1	4	401.853726	29.983493	1.477999	shrink sphere
+f00	v1	3	11	0	4	273.595324	28.253676	0.000000	shrink sphere
+f00	v1	3	11	1	4	273.595324	28.253676	0.000000	shrink sphere
+f00	v1	3	12	0	4	381.463943	40.171503	1.618377	shrink sphere
+f00	v1	3	12	1	4	381.463943	40.171503	1.618377	shrink sphere
+f00	v1	3	13	0	4	388.961446	18.532069	2.423337	shrink sphere
+f00	v1	3	13	1	4	388.961446	18.532069	2.423337	shrink sphere
+f00	v1	3	14	0	4	338.847229	26.475863	3.367583	shrink sphere
+f00	v1	3	14	1	4	338.847229	26.475863	3.367583	shrink sphere
+f00	v1	3	15	0	4	303.068503	28.830282	0.000000	shrink sphere
+f00	v1	3	15	1	4	303.068503	28.830282	0.000000	shrink sphere
+f00	v1	3	16	0	4	362.699188	26.976904	2.024928	shrink sphere
+f00	v1	3	16	1	4	362.699188	26.976904	2.024928	shrink sphere
+f00	v1	3	17	0	4	363.692065	27.069257	2.013390	shrink sphere
+f00	v1	3	17	1	4	363.692065	27.069257	2.013390	shrink sphere
+f00	v1	10	0	0	4	224.062512	11.781783	1.098623	shrink sphere
+f00	v1	10	0	1	4	224.062512	11.781783	1.098623	shrink sphere
+f00	v1	10	1	0	4	397.342544	38.968551	2.292482	shrink sphere
+f00	v1	10	1	1	4	397.342544	38.968551	2.292482	shrink sphere
+f00	v1	10	2	0	4	427.602223	42.882856	1.780373	shrink sphere
+f00	v1	10	2	1	4	427.602223	42.882856	1.780373	shrink sphere
+f00	v1	10	3	0	4	427.602223	42.882856	1.780373	shrink sphere
+f00	v1	10	3	1	4	427.602223	42.882856	1.780373	shrink sphere
+f00	v1	10	4	0	4	427.602223	42.882856	1.780373	shrink sphere
+f00	v1	10	4	1	4	427.602223	42.882856	1.780373	shrink sphere
+f00	v1	10	5	0	4	440.279663	44.894375	1.697388	shrink sphere
+f00	v1	10	5	1	4	440.279663	44.894375	1.697388	shrink sphere
+f00	v1	10	6	0	4	354.267193	26.805177	1.331637	shrink sphere
+f00	v1	10	6	1	4	354.267193	26.805177	1.331637	shrink sphere
+f00	v1	10	7	0	4	360.975694	27.127354	1.332059	shrink sphere
+f00	v1	10	7	1	4	360.975694	27.127354	1.332059	shrink sphere
+f00	v1	10	8	0	4	406.447021	38.447802	1.542179	shrink sphere
+f00	v1	10	8	1	4	406.447021	38.447802	1.542179	shrink sphere
+f00	v1	10	9	0	4	446.072713	41.527261	4.998750	shrink sphere
+f00	v1	10	9	1	4	446.072713	41.527261	4.998750	shrink sphere
+f00	v1	10	10	0	4	416.482192	29.983493	2.379017	shrink sphere
+f00	v1	10	10	1	4	416.482192	29.983493	2.379017	shrink sphere
+f00	r1	1	0	0	4	418.951172	32.221612	0.826430	shrink sphere
+f00	r1	1	0	1	4	418.951172	32.221612	0.826430	shrink sphere
+f00	r1	1	1	0	4	225.448043	25.040400	2.054268	shrink sphere
+f00	r1	1	1	1	4	225.448043	25.040400	2.054268	shrink sphere
+f00	r1	1	2	0	4	377.391061	22.017274	0.854103	shrink sphere
+f00	r1	1	2	1	4	377.391061	22.017274	0.854103	shrink sphere
+f00	r1	1	3	0	4	390.535348	22.350212	0.832403	shrink sphere
+f00	r1	1	3	1	4	390.535348	22.350212	0.832403	shrink sphere
+f00	r1	1	4	0	4	398.742321	36.969922	2.468474	shrink sphere
+f00	r1	1	4	1	4	398.742321	36.969922	2.468474	shrink sphere
+f00	r1	1	5	0	3	358.595919	30.294273	18.632684	shrink sphere
+f00	r1	1	5	1	3	358.595919	30.294273	18.632684	shrink sphere
+f00	r1	1	6	0	4	375.248822	37.980341	1.786538	shrink sphere
+f00	r1	1	6	1	4	375.248822	37.980341	1.786538	shrink sphere
+f00	r1	1	7	0	4	334.891614	27.296803	1.109818	shrink sphere
+f00	r1	1	7	1	4	334.891614	27.296803	1.109818	shrink sphere
+f00	r1	1	8	0	4	337.450336	29.024100	1.203655	shrink sphere
+f00	r1	1	8	1	4	337.450336	29.024100	1.203655	shrink sphere
+f00	r1	1	9	0	4	380.564461	38.703842	4.759859	shrink sphere
+f00	r1	1	9	1	4	380.564461	38.703842	4.759859	shrink sphere
+f00	r1	1	10	0	4	379.950941	30.262734	1.501865	shrink sphere
+f00	r1	1	10	1	4	379.950941	30.262734	1.501865	shrink sphere
+f00	r1	1	11	0	4	375.518551	29.403960	1.072928	shrink sphere
+f00	r1	1	11	1	4	375.518551	29.403960	1.072928	shrink sphere
+f00	r1	1	12	0	4	308.849632	35.297327	1.370586	shrink sphere
+f00	r1	1	12	1	4	308.849632	35.297327	1.370586	shrink sphere
+f00	r1	1	13	0	4	348.854801	27.341842	0.904310	shrink sphere
+f00	r1	1	13	1	4	348.854801	27.341842	0.904310	shrink sphere
+f00	r1	1	14	0	4	398.134282	19.016363	1.961227	shrink sphere
+f00	r1	1	14	1	4	398.134282	19.016363	1.961227	shrink sphere
+f00	r1	1	15	0	4	257.309062	25.822347	0.000000	shrink sphere
+f00	r1	1	15	1	4	257.309062	25.822347	0.000000	shrink sphere
+f00	r1	1	16	0	4	231.347012	21.234785	1.804554	shrink sphere
+f00	r1	1	16	1	4	231.347012	21.234785	1.804554	shrink sphere
+f00	r1	1	17	0	4	279.353495	29.024100	0.000000	shrink sphere
+f00	r1	1	17	1	4	279.353495	29.024100	0.000000	shrink sphere
+f00	r1	1	18	0	4	382.924769	21.737950	1.528393	shrink sphere
+f00	r1	1	18	1	4	382.924769	21.737950	1.528393	shrink sphere
+f00	r1	1	19	0	3	399.724597	31.830945	18.786855	shrink sphere
+f00	r1	1	19	1	3	399.724597	31.830945	18.786855	shrink sphere
+f00	r1	3	0	0	4	233.406855	32.673817	1.942641	shrink sphere
+f00	r1	3	0	1	4	233.406855	32.673817	1.942641	shrink sphere
+f00	r1	3	1	0	4	310.507148	26.848402	3.033475	shrink sphere
+f00	r1	3	1	1	4	310.507148	26.848402	3.033475	shrink sphere
+f00	r1	3	2	0	4	383.520990	34.127479	2.331271	shrink sphere
+f00	r1	3	2	1	4	383.520990	34.127479	2.331271	shrink sphere
+f00	r1	3	3	0	3	385.697479	29.077815	17.169861	shrink sphere
+f00	r1	3	3	1	3	385.697479	29.077815	17.169861	shrink sphere
+f00	r1	3	4	0	4	365.246965	26.706510	1.554448	shrink sphere
+f00	r1	3	4	1	4	365.246965	26.706510	1.554448	shrink sphere
+f00	r1	3	5	0	4	351.969594	28.221840	1.511680	shrink sphere
+f00	r1	3	5	1	4	351.969594	28.221840	1.511680	shrink sphere
+f00	r1	3	6	0	4	354.123167	28.353230	1.101834	shrink sphere
+f00	r1	3	6	1	4	354.123167	28.353230	1.101834	shrink sphere
+f00	r1	3	7	0	4	333.377337	27.885900	1.365904	shrink sphere
+f00	r1	3	7	1	4	333.377337	27.885900	1.365904	shrink sphere
+f00	r1	3	8	0	4	338.511863	27.885900	1.326103	shrink sphere
+f00	r1	3	8	1	4	338.511863	27.885900	1.326103	shrink sphere
+f00	r1	3	9	0	4	381.684289	29.137671	3.336870	shrink sphere
+f00	r1	3	9	1	4	381.684289	29.137671	3.336870	shrink sphere
+f00	r1	3	10	0	4	362.913928	29.200352	0.925140	shrink sphere
+f00	r1	3	10	1	4	362.913928	29.200352	0.925140	shrink sphere
+f00	r1	3	11	0	4	396.451928	37.435748	1.289411	shrink sphere
+f00	r1	3	11	1	4	396.451928	37.435748	1.289411	shrink sphere
+f00	r1	3	12	0	4	355.137067	31.032337	1.568319	shrink sphere
+f00	r1	3	12	1	4	355.137067	31.032337	1.568319	shrink sphere
+f00	r1	3	13	0	4	274.031823	26.214320	0.844268	shrink sphere
+f00	r1	3	13	1	4	274.031823	26.214320	0.844268	shrink sphere
+f00	r1	3	14	0	4	274.232651	26.436944	1.302067	shrink sphere
+f00	r1	3	14	1	4	274.232651	26.436944	1.302067	shrink sphere
+f00	r1	3	15	0	4	280.987293	28.455000	0.000000	shrink sphere
+f00	r1	3	15	1	4	280.987293	28.455000	0.000000	shrink sphere
+f00	r1	3	16	0	4	296.216777	27.366418	0.000000	shrink sphere
+f00	r1	3	16	1	4	296.216777	27.366418	0.000000	shrink sphere
+f00	r1	3	17	0	4	345.802545	27.589160	1.949535	shrink sphere
+f00	r1	3	17	1	4	345.802545	27.589160	1.949535	shrink sphere
+f00	r1	10	0	0	4	396.366385	37.786360	1.796166	shrink sphere
+f00	r1	10	0	1	4	396.366385	37.786360	1.796166	shrink sphere
+f00	r1	10	1	0	4	351.888932	26.523992	1.383495	shrink sphere
+f00	r1	10	1	1	4	351.888932	26.523992	1.383495	shrink sphere
+f00	r1	10	2	0	4	370.944237	26.916372	1.151096	shrink sphere
+f00	r1	10	2	1	4	370.944237	26.916372	1.151096	shrink sphere
+f00	r1	10	3	0	4	370.944237	26.916372	1.151096	shrink sphere
+f00	r1	10	3	1	4	370.944237	26.916372	1.151096	shrink sphere
+f00	r1	10	4	0	4	370.944237	26.916372	1.151096	shrink sphere
+f00	r1	10	4	1	4	370.944237	26.916372	1.151096	shrink sphere
+f00	r1	10	5	0	4	372.650010	27.824276	1.197943	shrink sphere
+f00	r1	10	5	1	4	372.650010	27.824276	1.197943	shrink sphere
+f00	r1	10	6	0	4	361.600604	27.571752	1.216056	shrink sphere
+f00	r1	10	6	1	4	361.600604	27.571752	1.216056	shrink sphere
+f00	r1	10	7	0	4	368.163048	28.197026	1.230931	shrink sphere
+f00	r1	10	7	1	4	368.163048	28.197026	1.230931	shrink sphere
+f00	r1	10	8	0	4	361.600604	27.571752	1.216056	shrink sphere
+f00	r1	10	8	1	4	361.600604	27.571752	1.216056	shrink sphere
+f00	r1	10	9	0	4	388.568022	27.961753	3.101689	shrink sphere
+f00	r1	10	9	1	4	388.568022	27.961753	3.101689	shrink sphere
+f00	r1	10	10	0	4	376.256954	28.861555	1.658096	shrink sphere
+f00	r1	10	10	1	4	376.256954	28.861555	1.658096	shrink sphere
+f04	v1	1	0	0	3	514.966248	29.550103	32.764624	shrink sphere
+f04	v1	1	0	1	3	514.966248	29.550103	32.764624	shrink sphere
+f04	v1	1	1	0	4	451.729018	5.664791	21.594709	shrink sphere
+f04	v1	1	1	1	4	451.729018	5.664791	21.594709	shrink sphere
+f04	v1	1	2	0	4	501.131792	10.435313	22.738914	shrink sphere
+f04	v1	1	2	1	4	501.131792	10.435313	22.738914	shrink sphere
+f04	v1	1	3	0	3	474.070016	29.735947	29.735947	shrink sphere
+f04	v1	1	3	1	3	474.070016	29.735947	29.735947	shrink sphere
+f04	v1	1	4	0	4	487.805404	12.251012	29.611750	shrink sphere
+f04	v1	1	4	1	4	487.805404	12.251012	29.611750	shrink sphere
+f04	v1	1	5	0	4	445.156101	7.541060	21.591850	shrink sphere
+f04	v1	1	5	1	4	445.156101	7.541060	21.591850	shrink sphere
+f04	v1	1	6	0	3	515.846857	33.608152	33.608152	shrink sphere
+f04	v1	1	6	1	3	515.846857	33.608152	33.608152	shrink sphere
+f04	v1	1	7	0	4	531.891967	8.886779	45.181130	shrink sphere
+f04	v1	1	7	1	4	531.891967	8.886779	45.181130	shrink sphere
+f04	v1	1	8	0	4	416.922426	7.930674	26.668919	shrink sphere
+f04	v1	1	8	1	4	416.922426	7.930674	26.668919	shrink sphere
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+f07	v1	3	12	1	4	498.779230	13.120898	44.886105	shrink sphere
+f07	v1	3	13	0	4	487.804666	15.136002	42.835277	shrink sphere
+f07	v1	3	13	1	4	487.804666	15.136002	42.835277	shrink sphere
+f07	v1	3	14	0	4	591.555252	9.570643	31.637853	shrink sphere
+f07	v1	3	14	1	4	591.555252	9.570643	31.637853	shrink sphere
+f07	v1	3	15	0	4	353.226345	29.834722	29.834722	shrink sphere
+f07	v1	3	15	1	4	353.226345	29.834722	29.834722	shrink sphere
+f07	v1	3	16	0	4	354.722763	29.536403	29.536403	shrink sphere
+f07	v1	3	16	1	4	354.722763	29.536403	29.536403	shrink sphere
+f07	v1	3	17	0	4	340.966184	29.345598	26.043302	shrink sphere
+f07	v1	3	17	1	4	340.966184	29.345598	26.043302	shrink sphere
+f07	v1	10	0	0	4	475.516228	10.482687	28.381955	shrink sphere
+f07	v1	10	0	1	4	475.516228	10.482687	28.381955	shrink sphere
+f07	v1	10	1	0	4	458.845175	16.512201	40.584048	shrink sphere
+f07	v1	10	1	1	4	458.845175	16.512201	40.584048	shrink sphere
+f07	v1	10	2	0	4	445.896226	17.640876	39.080022	shrink sphere
+f07	v1	10	2	1	4	445.896226	17.640876	39.080022	shrink sphere
+f07	v1	10	3	0	4	497.922326	15.501835	42.185911	shrink sphere
+f07	v1	10	3	1	4	497.922326	15.501835	42.185911	shrink sphere
+f07	v1	10	4	0	4	478.480194	15.520462	42.153897	shrink sphere
+f07	v1	10	4	1	4	478.480194	15.520462	42.153897	shrink sphere
+f07	v1	10	5	0	4	490.801787	19.479605	42.192334	shrink sphere
+f07	v1	10	5	1	4	490.801787	19.479605	42.192334	shrink sphere
+f07	v1	10	6	0	4	496.233516	15.500657	42.187937	shrink sphere
+f07	v1	10	6	1	4	496.233516	15.500657	42.187937	shrink sphere
+f07	v1	10	7	0	4	496.233516	15.500657	42.187937	shrink sphere
+f07	v1	10	7	1	4	496.233516	15.500657	42.187937	shrink sphere
+f07	v1	10	8	0	4	461.272834	16.505120	40.594377	shrink sphere
+f07	v1	10	8	1	4	461.272834	16.505120	40.594377	shrink sphere
+f07	v1	10	9	0	4	476.204988	16.491693	40.613995	shrink sphere
+f07	v1	10	9	1	4	476.204988	16.491693	40.613995	shrink sphere
+f07	v1	10	10	0	4	354.176971	30.236312	30.236312	shrink sphere
+f07	v1	10	10	1	4	354.176971	30.236312	30.236312	shrink sphere
+f07	r1	1	0	0	4	378.756696	24.564648	23.121481	shrink sphere
+f07	r1	1	0	1	4	378.756696	24.564648	23.121481	shrink sphere
+f07	r1	1	1	0	4	291.756538	16.216237	17.582983	shrink sphere
+f07	r1	1	1	1	4	291.756538	16.216237	17.582983	shrink sphere
+f07	r1	1	2	0	3	280.200619	30.408387	17.983785	shrink sphere
+f07	r1	1	2	1	3	280.200619	30.408387	17.983785	shrink sphere
+f07	r1	1	3	0	3	269.652924	28.231134	17.967698	shrink sphere
+f07	r1	1	3	1	3	269.652924	28.231134	17.967698	shrink sphere
+f07	r1	1	4	0	3	274.042455	6.904229	16.828621	shrink sphere
+f07	r1	1	4	1	3	274.042455	6.904229	16.828621	shrink sphere
+f07	r1	1	5	0	3	268.881199	28.230807	17.952502	shrink sphere
+f07	r1	1	5	1	3	268.881199	28.230807	17.952502	shrink sphere
+f07	r1	1	6	0	3	290.510211	30.365186	18.178455	shrink sphere
+f07	r1	1	6	1	3	290.510211	30.365186	18.178455	shrink sphere
+f07	r1	1	7	0	4	315.814552	29.677094	14.801219	shrink sphere
+f07	r1	1	7	1	4	315.814552	29.677094	14.801219	shrink sphere
+f07	r1	1	8	0	4	304.344680	30.195067	17.616898	shrink sphere
+f07	r1	1	8	1	4	304.344680	30.195067	17.616898	shrink sphere
+f07	r1	1	9	0	3	397.299125	23.577756	21.492341	shrink sphere
+f07	r1	1	9	1	3	397.299125	23.577756	21.492341	shrink sphere
+f07	r1	1	10	0	4	359.925090	26.402898	12.776483	shrink sphere
+f07	r1	1	10	1	4	359.925090	26.402898	12.776483	shrink sphere
+f07	r1	1	11	0	4	488.193347	29.636656	29.636656	shrink sphere
+f07	r1	1	11	1	4	488.193347	29.636656	29.636656	shrink sphere
+f07	r1	1	12	0	4	289.187972	25.928388	16.917711	shrink sphere
+f07	r1	1	12	1	4	289.187972	25.928388	16.917711	shrink sphere
+f07	r1	1	13	0	4	452.524889	16.625104	41.457428	shrink sphere
+f07	r1	1	13	1	4	452.524889	16.625104	41.457428	shrink sphere
+f07	r1	1	14	0	4	327.129185	29.699967	29.699967	shrink sphere
+f07	r1	1	14	1	4	327.129185	29.699967	29.699967	shrink sphere
+f07	r1	1	15	0	4	483.185358	29.297931	12.264144	shrink sphere
+f07	r1	1	15	1	4	483.185358	29.297931	12.264144	shrink sphere
+f07	r1	1	16	0	4	325.162293	29.848951	29.848951	shrink sphere
+f07	r1	1	16	1	4	325.162293	29.848951	29.848951	shrink sphere
+f07	r1	1	17	0	4	318.590416	29.947960	29.947960	shrink sphere
+f07	r1	1	17	1	4	318.590416	29.947960	29.947960	shrink sphere
+f07	r1	1	18	0	4	292.751881	28.995395	15.530824	shrink sphere
+f07	r1	1	18	1	4	292.751881	28.995395	15.530824	shrink sphere
+f07	r1	1	19	0	4	459.766187	35.284200	8.319650	shrink sphere
+f07	r1	1	19	1	4	459.766187	35.284200	8.319650	shrink sphere
+f07	r1	3	0	0	4	309.447930	29.734519	13.321179	shrink sphere
+f07	r1	3	0	1	4	309.447930	29.734519	13.321179	shrink sphere
+f07	r1	3	1	0	4	325.075822	29.944723	17.251605	shrink sphere
+f07	r1	3	1	1	4	325.075822	29.944723	17.251605	shrink sphere
+f07	r1	3	2	0	4	334.547914	17.810926	18.506897	shrink sphere
+f07	r1	3	2	1	4	334.547914	17.810926	18.506897	shrink sphere
+f07	r1	3	3	0	4	355.263365	19.107827	18.379414	shrink sphere
+f07	r1	3	3	1	4	355.263365	19.107827	18.379414	shrink sphere
+f07	r1	3	4	0	3	298.074515	6.229597	18.160202	shrink sphere
+f07	r1	3	4	1	3	298.074515	6.229597	18.160202	shrink sphere
+f07	r1	3	5	0	3	293.018600	30.383007	18.371621	shrink sphere
+f07	r1	3	5	1	3	293.018600	30.383007	18.371621	shrink sphere
+f07	r1	3	6	0	4	339.759160	16.818823	18.971201	shrink sphere
+f07	r1	3	6	1	4	339.759160	16.818823	18.971201	shrink sphere
+f07	r1	3	7	0	4	369.876943	16.270152	21.305485	shrink sphere
+f07	r1	3	7	1	4	369.876943	16.270152	21.305485	shrink sphere
+f07	r1	3	8	0	4	329.808043	17.975850	14.868729	shrink sphere
+f07	r1	3	8	1	4	329.808043	17.975850	14.868729	shrink sphere
+f07	r1	3	9	0	3	389.696006	29.950247	29.950247	shrink sphere
+f07	r1	3	9	1	3	389.696006	29.950247	29.950247	shrink sphere
+f07	r1	3	10	0	4	415.989314	15.782743	38.929110	shrink sphere
+f07	r1	3	10	1	4	415.989314	15.782743	38.929110	shrink sphere
+f07	r1	3	11	0	4	445.681388	14.657324	40.749541	shrink sphere
+f07	r1	3	11	1	4	445.681388	14.657324	40.749541	shrink sphere
+f07	r1	3	12	0	4	323.656566	29.839162	29.839162	shrink sphere
+f07	r1	3	12	1	4	323.656566	29.839162	29.839162	shrink sphere
+f07	r1	3	13	0	4	432.376890	16.450284	39.835478	shrink sphere
+f07	r1	3	13	1	4	432.376890	16.450284	39.835478	shrink sphere
+f07	r1	3	14	0	4	335.593877	29.727092	29.727092	shrink sphere
+f07	r1	3	14	1	4	335.593877	29.727092	29.727092	shrink sphere
+f07	r1	3	15	0	4	335.593877	29.727092	29.727092	shrink sphere
+f07	r1	3	15	1	4	335.593877	29.727092	29.727092	shrink sphere
+f07	r1	3	16	0	4	335.810048	29.435789	29.435789	shrink sphere
+f07	r1	3	16	1	4	335.810048	29.435789	29.435789	shrink sphere
+f07	r1	3	17	0	4	309.108393	29.256832	19.136036	shrink sphere
+f07	r1	3	17	1	4	309.108393	29.256832	19.136036	shrink sphere
+f07	r1	10	0	0	4	436.887420	17.814066	39.839724	shrink sphere
+f07	r1	10	0	1	4	436.887420	17.814066	39.839724	shrink sphere
+f07	r1	10	1	0	4	335.659417	16.823876	18.977503	shrink sphere
+f07	r1	10	1	1	4	335.659417	16.823876	18.977503	shrink sphere
+f07	r1	10	2	0	4	339.759160	16.818823	18.971201	shrink sphere
+f07	r1	10	2	1	4	339.759160	16.818823	18.971201	shrink sphere
+f07	r1	10	3	0	4	444.706332	16.809419	39.339687	shrink sphere
+f07	r1	10	3	1	4	444.706332	16.809419	39.339687	shrink sphere
+f07	r1	10	4	0	4	427.652857	16.829937	39.312233	shrink sphere
+f07	r1	10	4	1	4	427.652857	16.829937	39.312233	shrink sphere
+f07	r1	10	5	0	4	442.949156	21.561628	39.341364	shrink sphere
+f07	r1	10	5	1	4	442.949156	21.561628	39.341364	shrink sphere
+f07	r1	10	6	0	4	440.341280	16.815906	39.330997	shrink sphere
+f07	r1	10	6	1	4	440.341280	16.815906	39.330997	shrink sphere
+f07	r1	10	7	0	4	440.341280	16.815906	39.330997	shrink sphere
+f07	r1	10	7	1	4	440.341280	16.815906	39.330997	shrink sphere
+f07	r1	10	8	0	4	334.974649	29.705090	29.705090	shrink sphere
+f07	r1	10	8	1	4	334.974649	29.705090	29.705090	shrink sphere
+f07	r1	10	9	0	4	345.116055	29.711289	29.711289	shrink sphere
+f07	r1	10	9	1	4	345.116055	29.711289	29.711289	shrink sphere
+f07	r1	10	10	0	4	330.597448	29.703343	29.703343	shrink sphere
+f07	r1	10	10	1	4	330.597448	29.703343	29.703343	shrink sphere

app/src/test/resources/bvsynth_expect.tsv

@@ -0,0 +1,641 @@
+case	ver	supine	mirror	walls	nch	vol_ml	top_h	bot_h	bottom_kind
+0	v1	0	0	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	4	362.793573	13.637789	29.840936	shrink sphere
+0	v1	0	1	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	4	596.308004	13.637789	64.081923	mirror sphere
+0	v1	1	0	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	4	362.793573	13.637789	29.840936	shrink sphere
+0	v1	1	1	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	4	596.308004	13.637789	64.081923	mirror sphere
+1	r1	0	0	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	4	169.226195	12.407045	14.957204	shrink sphere
+1	r1	0	1	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	4	397.136328	12.407045	65.720822	mirror sphere
+1	r1	1	0	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	4	169.226195	12.407045	14.957204	shrink sphere
+1	r1	1	1	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	4	397.136328	12.407045	65.720822	mirror sphere
+2	v1	0	0	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	4	269.787850	14.322307	23.273608	shrink sphere
+2	v1	0	1	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	4	521.210348	14.322307	67.876282	mirror sphere
+2	v1	1	0	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	4	269.787850	14.322307	23.273608	shrink sphere
+2	v1	1	1	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	4	521.210348	14.322307	67.876282	mirror sphere
+3	r1	0	0	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	4	151.340327	12.346396	17.006783	shrink sphere
+3	r1	0	1	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	4	325.884309	12.346396	59.881670	mirror sphere
+3	r1	1	0	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	4	151.340327	12.346396	17.006783	shrink sphere
+3	r1	1	1	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	4	325.884309	12.346396	59.881670	mirror sphere
+4	v1	0	0	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	4	429.907588	11.234976	36.349661	shrink sphere
+4	v1	0	1	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	4	655.695997	11.234976	65.347694	mirror sphere
+4	v1	1	0	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	4	429.907588	11.234976	36.349661	shrink sphere
+4	v1	1	1	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	4	655.695997	11.234976	65.347694	mirror sphere
+5	r1	0	0	25.5504,57.1221,29,53;23.4463,56.7910,27,52;25.3126,60.5298,29,56;22.7438,59.9387,26,55;-;-	4	203.804742	18.116577	21.608684	shrink sphere
+5	r1	0	1	25.5504,57.1221,29,53;23.4463,56.7910,27,52;25.3126,60.5298,29,56;22.7438,59.9387,26,55;-;-	4	203.804742	18.116577	21.608684	shrink sphere
+5	r1	1	0	25.5504,57.1221,29,53;23.4463,56.7910,27,52;25.3126,60.5298,29,56;22.7438,59.9387,26,55;-;-	4	203.804742	18.116577	21.608684	shrink sphere
+5	r1	1	1	25.5504,57.1221,29,53;23.4463,56.7910,27,52;25.3126,60.5298,29,56;22.7438,59.9387,26,55;-;-	4	203.804742	18.116577	21.608684	shrink sphere
+6	v1	0	0	17.4630,60.6777,21,56;19.2769,63.4067,23,59;16.1237,61.1881,20,57;17.8035,63.8222,21,59;-;-	4	437.104912	29.527492	33.135142	shrink sphere
+6	v1	0	1	17.4630,60.6777,21,56;19.2769,63.4067,23,59;16.1237,61.1881,20,57;17.8035,63.8222,21,59;-;-	4	437.104912	29.527492	33.135142	shrink sphere
+6	v1	1	0	17.4630,60.6777,21,56;19.2769,63.4067,23,59;16.1237,61.1881,20,57;17.8035,63.8222,21,59;-;-	4	437.104912	29.527492	33.135142	shrink sphere
+6	v1	1	1	17.4630,60.6777,21,56;19.2769,63.4067,23,59;16.1237,61.1881,20,57;17.8035,63.8222,21,59;-;-	4	437.104912	29.527492	33.135142	shrink sphere
+7	r1	0	0	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	4	121.175457	11.350332	14.673018	shrink sphere
+7	r1	0	1	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	4	275.451233	11.350332	57.865870	mirror sphere
+7	r1	1	0	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	4	121.175457	11.350332	14.673018	shrink sphere
+7	r1	1	1	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	4	275.451233	11.350332	57.865870	mirror sphere
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+8	v1	0	1	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	4	698.560614	9.421460	60.885189	mirror sphere
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+156	v1	1	1	20.8018,45.9862,24,41;20.5962,47.0116,24,43;20.8361,48.5426,24,44;18.0366,47.0975,22,43;-;-	4	112.034276	13.612879	15.400327	shrink sphere
+157	r1	0	0	22.5214,63.9443,26,59;19.7224,62.2428,23,58;22.4517,66.0985,26,62;22.9945,67.7977,26,63;-;-	4	361.580930	26.231442	26.231442	shrink sphere
+157	r1	0	1	22.5214,63.9443,26,59;19.7224,62.2428,23,58;22.4517,66.0985,26,62;22.9945,67.7977,26,63;-;-	4	361.580930	26.231442	26.231442	shrink sphere
+157	r1	1	0	22.5214,63.9443,26,59;19.7224,62.2428,23,58;22.4517,66.0985,26,62;22.9945,67.7977,26,63;-;-	4	361.580930	26.231442	26.231442	shrink sphere
+157	r1	1	1	22.5214,63.9443,26,59;19.7224,62.2428,23,58;22.4517,66.0985,26,62;22.9945,67.7977,26,63;-;-	4	361.580930	26.231442	26.231442	shrink sphere
+158	v1	0	0	22.1073,49.2089,26,45;20.2542,52.7223,24,48;20.7448,59.6419,24,55;19.0338,65.6330,23,61;-;-	4	227.693567	4.692381	14.416312	shrink sphere
+158	v1	0	1	22.1073,49.2089,26,45;20.2542,52.7223,24,48;20.7448,59.6419,24,55;19.0338,65.6330,23,61;-;-	4	427.635739	4.692381	55.024037	mirror sphere
+158	v1	1	0	22.1073,49.2089,26,45;20.2542,52.7223,24,48;20.7448,59.6419,24,55;19.0338,65.6330,23,61;-;-	4	227.693567	4.692381	14.416312	shrink sphere
+158	v1	1	1	22.1073,49.2089,26,45;20.2542,52.7223,24,48;20.7448,59.6419,24,55;19.0338,65.6330,23,61;-;-	4	427.635739	4.692381	55.024037	mirror sphere
+159	r1	0	0	29.0830,47.5305,33,43;31.3335,52.6125,35,48;28.1962,52.7413,32,48;31.9703,60.2828,35,56;-;-	4	78.713256	6.460006	6.779407	shrink sphere
+159	r1	0	1	29.0830,47.5305,33,43;31.3335,52.6125,35,48;28.1962,52.7413,32,48;31.9703,60.2828,35,56;-;-	4	241.546393	6.460006	59.773784	mirror sphere
+159	r1	1	0	29.0830,47.5305,33,43;31.3335,52.6125,35,48;28.1962,52.7413,32,48;31.9703,60.2828,35,56;-;-	4	78.713256	6.460006	6.779407	shrink sphere
+159	r1	1	1	29.0830,47.5305,33,43;31.3335,52.6125,35,48;28.1962,52.7413,32,48;31.9703,60.2828,35,56;-;-	4	241.546393	6.460006	59.773784	mirror sphere

app/src/test/resources/f83apply_expect.tsv

@@ -0,0 +1,13 @@
+case	trace	vol_ml	bottom_kind	weight	gate_rate	shape	d3_cv
+0	f00	336.070634	shrink sphere	0.000000	0.000000	2.273652	0.060507
+1	f04	169.226195	shrink sphere	0.000000	0.166667	0.454220	0.013283
+3	f07	151.340327	shrink sphere	0.000000	0.000000	0.782102	0.081770
+4	f00	380.959809	shrink sphere	0.000000	0.000000	2.273652	0.060507
+7	f07	121.175457	shrink sphere	0.000000	0.000000	0.782102	0.081770
+8	f00	474.724153	shrink sphere	0.000000	0.000000	2.273652	0.060507
+9	f04	502.964096	shrink sphere	0.000000	0.166667	0.454220	0.013283
+10	f06	558.485730	shrink sphere	0.000000	0.000000	2.558568	0.000000
+11	f07	466.311418	shrink sphere	0.000000	0.000000	0.782102	0.081770
+15	f07	197.738585	shrink sphere	0.000000	0.000000	0.782102	0.081770
+16	f00	189.384510	shrink sphere	0.000000	0.000000	2.273652	0.060507
+17	f04	325.811704	shrink sphere	0.000000	0.166667	0.454220	0.013283

app/src/test/resources/f83blend_expect.tsv

@@ -0,0 +1,441 @@
+case	ver	weight	walls	vol_ml	bot_h	bottom_kind
+0	v1	0.000000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	362.793573	29.840936	shrink sphere
+0	v1	0.100000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	379.117862	33.265035	f83 soft mirror
+0	v1	0.200000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	396.667418	36.689134	f83 soft mirror
+0	v1	0.300000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	415.568361	40.113232	f83 soft mirror
+0	v1	0.400000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	435.946813	43.537331	f83 soft mirror
+0	v1	0.500000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	457.928895	46.961429	f83 soft mirror
+0	v1	0.600000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	481.640728	50.385528	f83 soft mirror
+0	v1	0.700000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	507.208434	53.809627	f83 soft mirror
+0	v1	0.800000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	534.758135	57.233725	f83 soft mirror
+0	v1	0.900000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	564.415951	60.657824	f83 soft mirror
+0	v1	1.000000	18.2095,52.5703,22,48;21.0852,59.8120,25,55;21.4882,65.1360,25,61;18.7447,67.9386,22,63;-;-	596.308004	64.081923	mirror sphere
+1	r1	0.000000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	169.226195	14.957204	shrink sphere
+1	r1	0.100000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	179.787229	20.033566	f83 soft mirror
+1	r1	0.200000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	191.970122	25.109928	f83 soft mirror
+1	r1	0.300000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	206.185843	30.186290	f83 soft mirror
+1	r1	0.400000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	222.845359	35.262651	f83 soft mirror
+1	r1	0.500000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	242.359637	40.339013	f83 soft mirror
+1	r1	0.600000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	265.139644	45.415375	f83 soft mirror
+1	r1	0.700000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	291.596350	50.491737	f83 soft mirror
+1	r1	0.800000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	322.140721	55.568098	f83 soft mirror
+1	r1	0.900000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	357.183724	60.644460	f83 soft mirror
+1	r1	1.000000	28.4650,55.5189,32,51;27.1106,57.2661,31,53;28.3568,61.9695,32,57;27.2910,64.7573,31,60;-;-	397.136328	65.720822	mirror sphere
+2	v1	0.000000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	269.787850	23.273608	shrink sphere
+2	v1	0.100000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	283.784961	27.733876	f83 soft mirror
+2	v1	0.200000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	299.515406	32.194143	f83 soft mirror
+2	v1	0.300000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	317.257947	36.654410	f83 soft mirror
+2	v1	0.400000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	337.291344	41.114678	f83 soft mirror
+2	v1	0.500000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	359.894359	45.574945	f83 soft mirror
+2	v1	0.600000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	385.345753	50.035212	f83 soft mirror
+2	v1	0.700000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	413.924287	54.495480	f83 soft mirror
+2	v1	0.800000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	445.908724	58.955747	f83 soft mirror
+2	v1	0.900000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	481.577824	63.416014	f83 soft mirror
+2	v1	1.000000	25.3211,58.9783,29,54;24.9482,60.4700,28,56;23.8777,61.3673,27,57;26.5696,66.1363,30,62;-;-	521.210348	67.876282	mirror sphere
+3	r1	0.000000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	151.340327	17.006783	shrink sphere
+3	r1	0.100000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	160.289571	21.294271	f83 soft mirror
+3	r1	0.200000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	170.468570	25.581760	f83 soft mirror
+3	r1	0.300000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	182.124929	29.869249	f83 soft mirror
+3	r1	0.400000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	195.506253	34.156737	f83 soft mirror
+3	r1	0.500000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	210.860146	38.444226	f83 soft mirror
+3	r1	0.600000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	228.434212	42.731715	f83 soft mirror
+3	r1	0.700000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	248.476057	47.019203	f83 soft mirror
+3	r1	0.800000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	271.233285	51.306692	f83 soft mirror
+3	r1	0.900000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	296.953501	55.594181	f83 soft mirror
+3	r1	1.000000	20.1818,46.6622,24,42;20.8145,50.2333,24,46;19.2657,51.9489,23,47;19.7826,56.0925,23,52;-;-	325.884309	59.881670	mirror sphere
+4	v1	0.000000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	429.907588	36.349661	shrink sphere
+4	v1	0.100000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	446.901297	39.249465	f83 soft mirror
+4	v1	0.200000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	464.931866	42.149268	f83 soft mirror
+4	v1	0.300000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	484.075902	45.049071	f83 soft mirror
+4	v1	0.400000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	504.410009	47.948874	f83 soft mirror
+4	v1	0.500000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	526.010791	50.848678	f83 soft mirror
+4	v1	0.600000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	548.954853	53.748481	f83 soft mirror
+4	v1	0.700000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	573.318800	56.648284	f83 soft mirror
+4	v1	0.800000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	599.179236	59.548087	f83 soft mirror
+4	v1	0.900000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	626.612767	62.447891	f83 soft mirror
+4	v1	1.000000	22.6381,54.8342,26,50;24.5676,62.3917,28,58;23.0411,67.4769,27,63;23.2016,75.4048,27,71;-;-	655.695997	65.347694	mirror sphere
+7	r1	0.000000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	121.175457	14.673018	shrink sphere
+7	r1	0.100000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	128.556035	18.992303	f83 soft mirror
+7	r1	0.200000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	137.049756	23.311588	f83 soft mirror
+7	r1	0.300000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	146.909776	27.630874	f83 soft mirror
+7	r1	0.400000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	158.389248	31.950159	f83 soft mirror
+7	r1	0.500000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	171.741327	36.269444	f83 soft mirror
+7	r1	0.600000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	187.219168	40.588729	f83 soft mirror
+7	r1	0.700000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	205.075924	44.908014	f83 soft mirror
+7	r1	0.800000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	225.564751	49.227299	f83 soft mirror
+7	r1	0.900000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	248.938802	53.546584	f83 soft mirror
+7	r1	1.000000	20.0475,44.5402,24,40;21.3806,48.4797,25,44;18.3151,48.2981,22,44;19.2514,52.4251,23,48;-;-	275.451233	57.865870	mirror sphere
+8	v1	0.000000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	490.843753	35.754974	shrink sphere
+8	v1	0.100000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	507.600566	38.267995	f83 soft mirror
+8	v1	0.200000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	525.116618	40.781017	f83 soft mirror
+8	v1	0.300000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	543.441766	43.294038	f83 soft mirror
+8	v1	0.400000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	562.625869	45.807060	f83 soft mirror
+8	v1	0.500000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	582.718786	48.320081	f83 soft mirror
+8	v1	0.600000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	603.770374	50.833103	f83 soft mirror
+8	v1	0.700000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	625.830493	53.346124	f83 soft mirror
+8	v1	0.800000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	648.949000	55.859146	f83 soft mirror
+8	v1	0.900000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	673.175754	58.372167	f83 soft mirror
+8	v1	1.000000	16.2021,49.3316,20,45;18.6618,58.5037,22,54;16.4990,64.4132,20,60;17.6374,75.2594,21,71;-;-	698.560614	60.885189	mirror sphere
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+9	r1	0.100000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	526.176178	35.355936	f83 soft mirror
+9	r1	0.200000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	551.198612	39.393091	f83 soft mirror
+9	r1	0.300000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	578.238114	43.430246	f83 soft mirror
+9	r1	0.400000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	607.501403	47.467401	f83 soft mirror
+9	r1	0.500000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	639.195195	51.504555	f83 soft mirror
+9	r1	0.600000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	673.526207	55.541710	f83 soft mirror
+9	r1	0.700000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	710.701155	59.578865	f83 soft mirror
+9	r1	0.800000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	750.926758	63.616020	f83 soft mirror
+9	r1	0.900000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	794.409731	67.653175	f83 soft mirror
+9	r1	1.000000	23.8957,60.9432,27,56;23.8010,66.9805,27,62;25.6821,76.0085,29,72;26.1341,84.7902,30,80;-;-	841.356792	71.690330	mirror sphere
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+10	v1	0.100000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	558.569797	30.863483	f83 soft mirror
+10	v1	0.200000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	583.544005	34.689618	f83 soft mirror
+10	v1	0.300000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	610.113615	38.515752	f83 soft mirror
+10	v1	0.400000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	638.454592	42.341886	f83 soft mirror
+10	v1	0.500000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	668.742903	46.168021	f83 soft mirror
+10	v1	0.600000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	701.154515	49.994155	f83 soft mirror
+10	v1	0.700000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	735.865395	53.820290	f83 soft mirror
+10	v1	0.800000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	773.051510	57.646424	f83 soft mirror
+10	v1	0.900000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	812.888826	61.472559	f83 soft mirror
+10	v1	1.000000	17.3402,57.5057,21,53;18.5488,64.4041,22,60;18.0179,70.3689,22,66;20.6044,80.3714,24,76;-;-	855.553310	65.298693	mirror sphere
+11	r1	0.000000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	466.311418	32.854377	shrink sphere
+11	r1	0.100000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	489.813720	37.421687	f83 soft mirror
+11	r1	0.200000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	515.768439	41.988998	f83 soft mirror
+11	r1	0.300000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	544.474892	46.556308	f83 soft mirror
+11	r1	0.400000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	576.232396	51.123619	f83 soft mirror
+11	r1	0.500000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	611.340268	55.690929	f83 soft mirror
+11	r1	0.600000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	650.097824	60.258239	f83 soft mirror
+11	r1	0.700000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	692.804383	64.825550	f83 soft mirror
+11	r1	0.800000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	739.759261	69.392860	f83 soft mirror
+11	r1	0.900000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	791.261776	73.960171	f83 soft mirror
+11	r1	1.000000	23.4385,64.2391,27,60;24.6870,69.1847,28,65;23.1934,71.7233,27,67;22.0364,74.9638,26,70;-;-	847.611243	78.527481	mirror sphere
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+15	r1	0.100000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	209.339097	24.238295	f83 soft mirror
+15	r1	0.200000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	222.411026	28.634137	f83 soft mirror
+15	r1	0.300000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	237.221228	33.029979	f83 soft mirror
+15	r1	0.400000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	254.036560	37.425821	f83 soft mirror
+15	r1	0.500000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	273.123876	41.821663	f83 soft mirror
+15	r1	0.600000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	294.750031	46.217504	f83 soft mirror
+15	r1	0.700000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	319.181882	50.613346	f83 soft mirror
+15	r1	0.800000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	346.686284	55.009188	f83 soft mirror
+15	r1	0.900000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	377.530091	59.405030	f83 soft mirror
+15	r1	1.000000	25.3050,53.1785,29,49;24.2479,55.5170,28,51;25.4315,60.5097,29,56;24.9586,64.3101,28,60;-;-	411.980160	63.800872	mirror sphere
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+16	v1	0.100000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	223.218187	24.857429	f83 soft mirror
+16	v1	0.200000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	237.111744	29.255139	f83 soft mirror
+16	v1	0.300000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	252.782782	33.652848	f83 soft mirror
+16	v1	0.400000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	270.498498	38.050557	f83 soft mirror
+16	v1	0.500000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	290.526087	42.448267	f83 soft mirror
+16	v1	0.600000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	313.132744	46.845976	f83 soft mirror
+16	v1	0.700000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	338.585665	51.243686	f83 soft mirror
+16	v1	0.800000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	367.152047	55.641395	f83 soft mirror
+16	v1	0.900000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	399.099084	60.039105	f83 soft mirror
+16	v1	1.000000	27.0204,54.3380,31,50;26.9942,57.8355,30,53;27.4110,62.2305,31,58;25.3051,64.6161,29,60;-;-	434.693973	64.436814	mirror sphere
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+17	r1	0.100000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	341.816704	33.036485	f83 soft mirror
+17	r1	0.200000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	359.295653	36.804994	f83 soft mirror
+17	r1	0.300000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	378.416686	40.573502	f83 soft mirror
+17	r1	0.400000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	399.347940	44.342010	f83 soft mirror
+17	r1	0.500000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	422.257548	48.110519	f83 soft mirror
+17	r1	0.600000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	447.313647	51.879027	f83 soft mirror
+17	r1	0.700000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	474.684370	55.647535	f83 soft mirror
+17	r1	0.800000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	504.537854	59.416044	f83 soft mirror
+17	r1	0.900000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	537.042233	63.184552	f83 soft mirror
+17	r1	1.000000	17.4995,51.5765,21,47;17.7736,56.0398,21,52;20.1031,63.0733,24,59;19.5538,67.8063,23,63;-;-	572.365642	66.953060	mirror sphere
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+18	v1	0.100000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	114.791375	18.889746	f83 soft mirror
+18	v1	0.200000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	122.883924	22.889732	f83 soft mirror
+18	v1	0.300000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	132.127029	26.889719	f83 soft mirror
+18	v1	0.400000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	142.721749	30.889706	f83 soft mirror
+18	v1	0.500000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	154.869145	34.889692	f83 soft mirror
+18	v1	0.600000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	168.770276	38.889679	f83 soft mirror
+18	v1	0.700000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	184.626202	42.889665	f83 soft mirror
+18	v1	0.800000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	202.637984	46.889652	f83 soft mirror
+18	v1	0.900000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	223.006681	50.889638	f83 soft mirror
+18	v1	1.000000	24.6136,44.9676,28,40;21.4016,44.9951,25,40;21.3956,48.7444,25,44;21.9909,53.6925,25,49;-;-	245.933352	54.889625	mirror sphere
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+20	v1	0.100000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	118.663305	18.642316	f83 soft mirror
+20	v1	0.200000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	126.791189	22.688930	f83 soft mirror
+20	v1	0.300000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	136.086280	26.735545	f83 soft mirror
+20	v1	0.400000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	146.756749	30.782159	f83 soft mirror
+20	v1	0.500000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	159.010772	34.828774	f83 soft mirror
+20	v1	0.600000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	173.056521	38.875388	f83 soft mirror
+20	v1	0.700000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	189.102171	42.922003	f83 soft mirror
+20	v1	0.800000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	207.355893	46.968617	f83 soft mirror
+20	v1	0.900000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	228.025863	51.015232	f83 soft mirror
+20	v1	1.000000	22.9679,43.9698,26,39;22.6782,46.8444,26,42;22.3139,50.1213,26,46;20.2961,52.2932,24,48;-;-	251.320252	55.061846	mirror sphere
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+21	r1	0.100000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	149.745687	10.772358	f83 soft mirror
+21	r1	0.200000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	159.647471	16.033509	f83 soft mirror
+21	r1	0.300000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	170.943503	21.294660	f83 soft mirror
+21	r1	0.400000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	184.091283	26.555810	f83 soft mirror
+21	r1	0.500000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	199.548313	31.816961	f83 soft mirror
+21	r1	0.600000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	217.772095	37.078112	f83 soft mirror
+21	r1	0.700000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	239.220128	42.339262	f83 soft mirror
+21	r1	0.800000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	264.349914	47.600413	f83 soft mirror
+21	r1	0.900000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	293.618954	52.861564	f83 soft mirror
+21	r1	1.000000	28.2134,53.4376,32,49;28.0974,56.7849,32,52;29.0307,61.6571,33,57;30.1080,67.2141,34,63;-;-	327.484749	58.122715	mirror sphere
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+22	v1	0.100000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	142.250819	19.009497	f83 soft mirror
+22	v1	0.200000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	152.384388	23.922616	f83 soft mirror
+22	v1	0.300000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	164.332107	28.835735	f83 soft mirror
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+22	v1	0.500000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	195.160321	38.661973	f83 soft mirror
+22	v1	0.600000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	214.785980	43.575092	f83 soft mirror
+22	v1	0.700000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	237.716116	48.488211	f83 soft mirror
+22	v1	0.800000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	264.323311	53.401330	f83 soft mirror
+22	v1	0.900000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	294.980147	58.314449	f83 soft mirror
+22	v1	1.000000	29.4921,53.8325,33,49;27.3874,53.9163,31,49;30.4077,59.3218,34,55;27.8414,59.3554,31,55;-;-	330.059205	63.227568	mirror sphere
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+23	r1	0.100000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	367.133644	28.575021	f83 soft mirror
+23	r1	0.200000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	389.595573	34.131687	f83 soft mirror
+23	r1	0.300000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	415.368327	39.688354	f83 soft mirror
+23	r1	0.400000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	444.990911	45.245020	f83 soft mirror
+23	r1	0.500000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	479.002332	50.801687	f83 soft mirror
+23	r1	0.600000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	517.941593	56.358353	f83 soft mirror
+23	r1	0.700000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	562.347700	61.915020	f83 soft mirror
+23	r1	0.800000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	612.759658	67.471686	f83 soft mirror
+23	r1	0.900000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	669.716471	73.028353	f83 soft mirror
+23	r1	1.000000	28.1479,65.8772,32,61;27.3386,67.7832,31,63;29.6177,72.9731,33,68;30.2234,76.6991,34,72;-;-	733.757146	78.585019	mirror sphere
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+24	v1	0.100000	20.4806,42.7210,24,38;18.6484,45.3359,22,41;18.6055,50.6292,22,46;20.1961,58.6230,24,54;-;-	183.210026	27.151259	f83 soft mirror
+24	v1	0.200000	20.4806,42.7210,24,38;18.6484,45.3359,22,41;18.6055,50.6292,22,46;20.1961,58.6230,24,54;-;-	192.779528	30.148180	f83 soft mirror
+24	v1	0.300000	20.4806,42.7210,24,38;18.6484,45.3359,22,41;18.6055,50.6292,22,46;20.1961,58.6230,24,54;-;-	203.199701	33.145101	f83 soft mirror
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+24	v1	0.500000	20.4806,42.7210,24,38;18.6484,45.3359,22,41;18.6055,50.6292,22,46;20.1961,58.6230,24,54;-;-	226.930308	39.138942	f83 soft mirror
+24	v1	0.600000	20.4806,42.7210,24,38;18.6484,45.3359,22,41;18.6055,50.6292,22,46;20.1961,58.6230,24,54;-;-	240.409865	42.135863	f83 soft mirror
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+24	v1	0.800000	20.4806,42.7210,24,38;18.6484,45.3359,22,41;18.6055,50.6292,22,46;20.1961,58.6230,24,54;-;-	271.020300	48.129705	f83 soft mirror
+24	v1	0.900000	20.4806,42.7210,24,38;18.6484,45.3359,22,41;18.6055,50.6292,22,46;20.1961,58.6230,24,54;-;-	288.320301	51.126625	f83 soft mirror
+24	v1	1.000000	20.4806,42.7210,24,38;18.6484,45.3359,22,41;18.6055,50.6292,22,46;20.1961,58.6230,24,54;-;-	307.062907	54.123546	mirror sphere
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+25	r1	0.100000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	624.785669	40.878552	f83 soft mirror
+25	r1	0.200000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	656.691591	45.480453	f83 soft mirror
+25	r1	0.300000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	691.623377	50.082355	f83 soft mirror
+25	r1	0.400000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	729.887196	54.684257	f83 soft mirror
+25	r1	0.500000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	771.789218	59.286159	f83 soft mirror
+25	r1	0.600000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	817.635612	63.888061	f83 soft mirror
+25	r1	0.700000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	867.732548	68.489963	f83 soft mirror
+25	r1	0.800000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	922.386195	73.091865	f83 soft mirror
+25	r1	0.900000	27.9876,69.0987,31,65;30.6648,76.7054,34,72;28.9935,80.5545,32,76;30.9583,88.7017,34,84;-;-	981.902723	77.693767	f83 soft mirror
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+26	v1	0.100000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	151.045560	22.874966	f83 soft mirror
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+26	v1	0.300000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	172.232934	30.613390	f83 soft mirror
+26	v1	0.400000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	184.895353	34.482602	f83 soft mirror
+26	v1	0.500000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	199.179564	38.351814	f83 soft mirror
+26	v1	0.600000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	215.267543	42.221027	f83 soft mirror
+26	v1	0.700000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	233.341269	46.090239	f83 soft mirror
+26	v1	0.800000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	253.582718	49.959451	f83 soft mirror
+26	v1	0.900000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	276.173869	53.828663	f83 soft mirror
+26	v1	1.000000	27.3982,47.4093,31,43;28.4784,52.5944,32,48;27.1432,56.2060,31,52;29.2493,64.2736,33,60;-;-	301.296697	57.697875	mirror sphere
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+27	r1	0.100000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	191.891710	21.530072	f83 soft mirror
+27	r1	0.200000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	204.307720	26.486785	f83 soft mirror
+27	r1	0.300000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	218.768134	31.443497	f83 soft mirror
+27	r1	0.400000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	235.655539	36.400210	f83 soft mirror
+27	r1	0.500000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	255.352523	41.356922	f83 soft mirror
+27	r1	0.600000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	278.241673	46.313635	f83 soft mirror
+27	r1	0.700000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	304.705578	51.270347	f83 soft mirror
+27	r1	0.800000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	335.126825	56.227060	f83 soft mirror
+27	r1	0.900000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	369.888001	61.183773	f83 soft mirror
+27	r1	1.000000	21.8661,51.4475,25,47;20.7921,52.8879,24,48;22.2089,57.0329,26,53;22.2534,60.0374,26,56;-;-	409.371696	66.140485	mirror sphere
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+28	v1	0.100000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	292.608762	31.977389	f83 soft mirror
+28	v1	0.200000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	306.598685	35.114443	f83 soft mirror
+28	v1	0.300000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	321.674231	38.251496	f83 soft mirror
+28	v1	0.400000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	337.932389	41.388549	f83 soft mirror
+28	v1	0.500000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	355.470147	44.525603	f83 soft mirror
+28	v1	0.600000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	374.384490	47.662656	f83 soft mirror
+28	v1	0.700000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	394.772408	50.799709	f83 soft mirror
+28	v1	0.800000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	416.730886	53.936763	f83 soft mirror
+28	v1	0.900000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	440.356914	57.073816	f83 soft mirror
+28	v1	1.000000	21.9200,49.5977,25,45;20.0409,52.6238,24,48;20.2300,58.5875,24,54;22.0201,67.1755,26,63;-;-	465.747478	60.210869	mirror sphere
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+29	r1	0.100000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	625.910050	40.728226	f83 soft mirror
+29	r1	0.200000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	657.802873	45.341272	f83 soft mirror
+29	r1	0.300000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	692.726928	49.954319	f83 soft mirror
+29	r1	0.400000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	730.990616	54.567366	f83 soft mirror
+29	r1	0.500000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	772.902335	59.180413	f83 soft mirror
+29	r1	0.600000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	818.770485	63.793459	f83 soft mirror
+29	r1	0.700000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	868.903466	68.406506	f83 soft mirror
+29	r1	0.800000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	923.609675	73.019553	f83 soft mirror
+29	r1	0.900000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	983.197514	77.632600	f83 soft mirror
+29	r1	1.000000	26.9613,68.9307,30,64;28.9964,75.7261,32,71;26.7975,78.8273,30,74;28.8500,86.7811,32,82;-;-	1047.975381	82.245646	mirror sphere
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+30	v1	0.100000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	329.431623	26.941808	f83 soft mirror
+30	v1	0.200000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	346.163811	30.873742	f83 soft mirror
+30	v1	0.300000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	364.395518	34.805676	f83 soft mirror
+30	v1	0.400000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	384.317713	38.737610	f83 soft mirror
+30	v1	0.500000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	406.121369	42.669544	f83 soft mirror
+30	v1	0.600000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	429.997457	46.601478	f83 soft mirror
+30	v1	0.700000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	456.136949	50.533412	f83 soft mirror
+30	v1	0.800000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	484.730816	54.465346	f83 soft mirror
+30	v1	0.900000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	515.970029	58.397280	f83 soft mirror
+30	v1	1.000000	20.4092,53.1480,24,49;21.8474,58.8770,25,54;21.4575,63.3401,25,59;22.5065,69.8783,26,65;-;-	550.045561	62.329214	mirror sphere
+31	r1	0.000000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	604.505568	33.539929	shrink sphere
+31	r1	0.100000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	634.240985	38.462373	f83 soft mirror
+31	r1	0.200000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	666.904242	43.384816	f83 soft mirror
+31	r1	0.300000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	702.870047	48.307260	f83 soft mirror
+31	r1	0.400000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	742.513107	53.229703	f83 soft mirror
+31	r1	0.500000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	786.208129	58.152147	f83 soft mirror
+31	r1	0.600000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	834.329822	63.074591	f83 soft mirror
+31	r1	0.700000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	887.252892	67.997034	f83 soft mirror
+31	r1	0.800000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	945.352046	72.919478	f83 soft mirror
+31	r1	0.900000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	1009.001991	77.841922	f83 soft mirror
+31	r1	1.000000	22.4369,69.0826,26,65;22.1923,72.3927,26,68;20.3030,74.3290,24,70;22.4517,80.5950,26,76;-;-	1078.577436	82.764365	mirror sphere
+32	v1	0.000000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	415.306588	15.923124	shrink sphere
+32	v1	0.100000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	438.131981	20.318077	f83 soft mirror
+32	v1	0.200000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	462.190311	24.713029	f83 soft mirror
+32	v1	0.300000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	487.748271	29.107982	f83 soft mirror
+32	v1	0.400000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	515.072555	33.502935	f83 soft mirror
+32	v1	0.500000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	544.429857	37.897888	f83 soft mirror
+32	v1	0.600000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	576.086870	42.292840	f83 soft mirror
+32	v1	0.700000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	610.310287	46.687793	f83 soft mirror
+32	v1	0.800000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	647.366803	51.082746	f83 soft mirror
+32	v1	0.900000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	687.523111	55.477698	f83 soft mirror
+32	v1	1.000000	19.0278,55.4690,23,51;20.2170,62.9058,24,58;19.0185,69.0259,23,65;20.6185,79.1992,24,75;-;-	731.045904	59.872651	mirror sphere
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+33	r1	0.100000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	142.128892	16.462314	f83 soft mirror
+33	r1	0.200000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	151.457702	21.759701	f83 soft mirror
+33	r1	0.300000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	162.704853	27.057087	f83 soft mirror
+33	r1	0.400000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	176.337366	32.354474	f83 soft mirror
+33	r1	0.500000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	192.822261	37.651860	f83 soft mirror
+33	r1	0.600000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	212.626555	42.949247	f83 soft mirror
+33	r1	0.700000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	236.217270	48.246633	f83 soft mirror
+33	r1	0.800000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	264.061423	53.544020	f83 soft mirror
+33	r1	0.900000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	296.626035	58.841406	f83 soft mirror
+33	r1	1.000000	29.7291,56.7539,33,52;28.1701,56.5879,32,52;30.9878,60.8704,34,56;29.9252,61.3480,33,57;-;-	334.378124	64.138793	mirror sphere
+34	v1	0.000000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	279.363612	28.142090	shrink sphere
+34	v1	0.100000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	293.219728	31.836349	f83 soft mirror
+34	v1	0.200000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	308.440829	35.530607	f83 soft mirror
+34	v1	0.300000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	325.185305	39.224866	f83 soft mirror
+34	v1	0.400000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	343.611549	42.919125	f83 soft mirror
+34	v1	0.500000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	363.877951	46.613383	f83 soft mirror
+34	v1	0.600000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	386.142904	50.307642	f83 soft mirror
+34	v1	0.700000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	410.564798	54.001900	f83 soft mirror
+34	v1	0.800000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	437.302025	57.696159	f83 soft mirror
+34	v1	0.900000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	466.512977	61.390417	f83 soft mirror
+34	v1	1.000000	18.2199,50.7118,22,46;20.7444,56.2776,24,52;18.0758,56.9349,22,52;20.5947,63.0910,24,59;-;-	498.356045	65.084676	mirror sphere
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+35	r1	0.100000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	550.548089	38.329023	f83 soft mirror
+35	r1	0.200000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	574.329006	41.893154	f83 soft mirror
+35	r1	0.300000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	599.781784	45.457286	f83 soft mirror
+35	r1	0.400000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	627.048661	49.021418	f83 soft mirror
+35	r1	0.500000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	656.271873	52.585550	f83 soft mirror
+35	r1	0.600000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	687.593657	56.149681	f83 soft mirror
+35	r1	0.700000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	721.156248	59.713813	f83 soft mirror
+35	r1	0.800000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	757.101885	63.277945	f83 soft mirror
+35	r1	0.900000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	795.572802	66.842076	f83 soft mirror
+35	r1	1.000000	24.9991,62.8716,28,58;22.8529,66.8871,26,62;23.7075,74.9059,27,70;22.0474,81.5756,26,77;-;-	836.711237	70.406208	mirror sphere
+37	r1	0.000000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	545.583180	33.960552	shrink sphere
+37	r1	0.100000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	571.508815	38.440563	f83 soft mirror
+37	r1	0.200000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	599.858255	42.920574	f83 soft mirror
+37	r1	0.300000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	630.913979	47.400584	f83 soft mirror
+37	r1	0.400000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	664.958469	51.880595	f83 soft mirror
+37	r1	0.500000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	702.274202	56.360606	f83 soft mirror
+37	r1	0.600000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	743.143658	60.840617	f83 soft mirror
+37	r1	0.700000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	787.849318	65.320627	f83 soft mirror
+37	r1	0.800000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	836.673661	69.800638	f83 soft mirror
+37	r1	0.900000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	889.899166	74.280649	f83 soft mirror
+37	r1	1.000000	22.9248,67.2168,26,63;22.6076,70.6681,26,66;20.1101,72.2596,24,68;19.0388,75.6253,23,71;-;-	947.808312	78.760660	mirror sphere
+40	v1	0.000000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	505.919983	35.261550	shrink sphere
+40	v1	0.100000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	527.975191	38.984247	f83 soft mirror
+40	v1	0.200000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	551.727682	42.706945	f83 soft mirror
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+40	v1	0.400000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	604.972827	50.152340	f83 soft mirror
+40	v1	0.500000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	634.789637	53.875038	f83 soft mirror
+40	v1	0.600000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	666.952041	57.597735	f83 soft mirror
+40	v1	0.700000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	701.622117	61.320433	f83 soft mirror
+40	v1	0.800000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	738.961943	65.043130	f83 soft mirror
+40	v1	0.900000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	779.133597	68.765828	f83 soft mirror
+40	v1	1.000000	17.9107,58.7538,21,54;16.3742,60.9657,20,56;19.8583,68.5421,23,64;19.0889,72.2406,23,68;-;-	822.299156	72.488525	mirror sphere
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+41	r1	0.100000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	152.777942	20.172194	f83 soft mirror
+41	r1	0.200000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	163.583450	24.854301	f83 soft mirror
+41	r1	0.300000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	176.100684	29.536408	f83 soft mirror
+41	r1	0.400000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	190.652102	34.218515	f83 soft mirror
+41	r1	0.500000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	207.560162	38.900622	f83 soft mirror
+41	r1	0.600000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	227.147322	43.582728	f83 soft mirror
+41	r1	0.700000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	249.736042	48.264835	f83 soft mirror
+41	r1	0.800000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	275.648779	52.946942	f83 soft mirror
+41	r1	0.900000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	305.207993	57.629049	f83 soft mirror
+41	r1	1.000000	26.9891,48.1657,30,44;29.7433,55.1440,33,51;28.6555,59.1230,32,55;29.3094,65.8543,33,61;-;-	338.736141	62.311156	mirror sphere
+42	v1	0.000000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	117.663378	11.754352	shrink sphere
+42	v1	0.100000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	125.084848	16.732748	f83 soft mirror
+42	v1	0.200000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	133.809173	21.711145	f83 soft mirror
+42	v1	0.300000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	144.223984	26.689542	f83 soft mirror
+42	v1	0.400000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	156.716912	31.667939	f83 soft mirror
+42	v1	0.500000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	171.675588	36.646335	f83 soft mirror
+42	v1	0.600000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	189.487642	41.624732	f83 soft mirror
+42	v1	0.700000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	210.540707	46.603129	f83 soft mirror
+42	v1	0.800000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	235.222412	51.581526	f83 soft mirror
+42	v1	0.900000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	263.920388	56.559922	f83 soft mirror
+42	v1	1.000000	28.4903,51.7290,32,47;27.7622,53.1562,31,49;29.1309,56.8801,33,52;29.6401,59.9630,33,55;-;-	297.022268	61.538319	mirror sphere
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+47	r1	0.100000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	76.791181	12.209729	f83 soft mirror
+47	r1	0.200000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	83.079411	17.270529	f83 soft mirror
+47	r1	0.300000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	90.757254	22.331330	f83 soft mirror
+47	r1	0.400000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	100.231911	27.392130	f83 soft mirror
+47	r1	0.500000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	111.910580	32.452930	f83 soft mirror
+47	r1	0.600000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	126.200461	37.513731	f83 soft mirror
+47	r1	0.700000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	143.508755	42.574531	f83 soft mirror
+47	r1	0.800000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	164.242660	47.635332	f83 soft mirror
+47	r1	0.900000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	188.809377	52.696132	f83 soft mirror
+47	r1	1.000000	31.9717,49.2334,35,45;28.2982,48.6891,32,44;31.6846,55.7721,35,51;28.1467,56.6009,32,52;-;-	217.616106	57.756932	mirror sphere
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+48	v1	0.100000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	622.627217	40.275573	f83 soft mirror
+48	v1	0.200000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	649.788082	44.072106	f83 soft mirror
+48	v1	0.300000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	678.944613	47.868639	f83 soft mirror
+48	v1	0.400000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	710.268726	51.665172	f83 soft mirror
+48	v1	0.500000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	743.932333	55.461705	f83 soft mirror
+48	v1	0.600000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	780.107349	59.258238	f83 soft mirror
+48	v1	0.700000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	818.965688	63.054771	f83 soft mirror
+48	v1	0.800000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	860.679264	66.851304	f83 soft mirror
+48	v1	0.900000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	905.419992	70.647837	f83 soft mirror
+48	v1	1.000000	22.8371,64.9150,26,60;22.4794,69.1675,26,65;20.4594,72.2629,24,68;21.5462,79.0257,25,75;-;-	953.359784	74.444370	mirror sphere
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+49	r1	0.100000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	101.248669	17.064334	f83 soft mirror
+49	r1	0.200000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	108.474893	21.170299	f83 soft mirror
+49	r1	0.300000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	116.822379	25.276263	f83 soft mirror
+49	r1	0.400000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	126.508596	29.382228	f83 soft mirror
+49	r1	0.500000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	137.751011	33.488192	f83 soft mirror
+49	r1	0.600000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	150.767092	37.594156	f83 soft mirror
+49	r1	0.700000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	165.774308	41.700121	f83 soft mirror
+49	r1	0.800000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	182.990127	45.806085	f83 soft mirror
+49	r1	0.900000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	202.632015	49.912050	f83 soft mirror
+49	r1	1.000000	20.4693,39.7582,24,35;20.6818,43.5225,24,39;22.1098,49.1561,26,45;21.6370,53.6634,25,49;-;-	224.917443	54.018014	mirror sphere
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+51	r1	0.100000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	604.906441	32.617557	f83 soft mirror
+51	r1	0.200000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	634.648274	37.402433	f83 soft mirror
+51	r1	0.300000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	667.080347	42.187308	f83 soft mirror
+51	r1	0.400000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	702.546821	46.972183	f83 soft mirror
+51	r1	0.500000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	741.391857	51.757059	f83 soft mirror
+51	r1	0.600000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	783.959615	56.541934	f83 soft mirror
+51	r1	0.700000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	830.594258	61.326810	f83 soft mirror
+51	r1	0.800000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	881.639946	66.111685	f83 soft mirror
+51	r1	0.900000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	937.440840	70.896560	f83 soft mirror
+51	r1	1.000000	28.8166,73.4532,32,69;27.0859,76.3681,31,72;26.2240,80.6351,30,76;25.2231,85.2970,29,81;-;-	998.341102	75.681436	mirror sphere
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+52	v1	0.200000	26.8759,56.3994,30,52;26.7460,58.1303,30,54;27.8065,61.1688,31,57;25.8109,61.2759,29,57;-;-	230.052681	29.002551	f83 soft mirror
+52	v1	0.300000	26.8759,56.3994,30,52;26.7460,58.1303,30,54;27.8065,61.1688,31,57;25.8109,61.2759,29,57;-;-	246.214452	33.956648	f83 soft mirror
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+52	v1	0.500000	26.8759,56.3994,30,52;26.7460,58.1303,30,54;27.8065,61.1688,31,57;25.8109,61.2759,29,57;-;-	286.774590	43.864842	f83 soft mirror
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+52	v1	0.700000	26.8759,56.3994,30,52;26.7460,58.1303,30,54;27.8065,61.1688,31,57;25.8109,61.2759,29,57;-;-	340.863408	53.773035	f83 soft mirror
+52	v1	0.800000	26.8759,56.3994,30,52;26.7460,58.1303,30,54;27.8065,61.1688,31,57;25.8109,61.2759,29,57;-;-	373.936027	58.727132	f83 soft mirror
+52	v1	0.900000	26.8759,56.3994,30,52;26.7460,58.1303,30,54;27.8065,61.1688,31,57;25.8109,61.2759,29,57;-;-	411.536763	63.681229	f83 soft mirror
+52	v1	1.000000	26.8759,56.3994,30,52;26.7460,58.1303,30,54;27.8065,61.1688,31,57;25.8109,61.2759,29,57;-;-	454.047599	68.635325	mirror sphere
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+54	v1	0.100000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	257.192170	14.438816	f83 soft mirror
+54	v1	0.200000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	273.852838	19.532414	f83 soft mirror
+54	v1	0.300000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	292.105549	24.626012	f83 soft mirror
+54	v1	0.400000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	312.365472	29.719610	f83 soft mirror
+54	v1	0.500000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	335.047775	34.813207	f83 soft mirror
+54	v1	0.600000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	360.567626	39.906805	f83 soft mirror
+54	v1	0.700000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	389.340193	45.000403	f83 soft mirror
+54	v1	0.800000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	421.780643	50.094000	f83 soft mirror
+54	v1	0.900000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	458.304146	55.187598	f83 soft mirror
+54	v1	1.000000	28.3070,56.8518,32,52;28.2756,61.7601,32,57;29.2870,68.5659,33,64;30.2421,76.3183,34,72;-;-	499.325867	60.281196	mirror sphere

app/src/test/resources/sibeam_expect.tsv

@@ -0,0 +1,121 @@
+case	ver	valid	sorted	y0	y1	dant	dpost	bt	bb
+0	v1	0,3	0,3	8.032000	12.246000	27.857000,32.992000	59.642000,67.188000	0.554000	6.280346
+1	r1	0,2	0,2	-12.893000	-0.280000	40.214000,49.937000	111.784000,98.277000	4.451090	16.280283
+2	v1	2,3	2,3	-12.984000	13.526000	35.978000,58.502000	110.113000,109.773000	16.453279	-
+3	r1	0,2	0,2	-16.001000	-15.711000	32.803000,58.448000	75.974000,136.014000	17.127158	4.876789
+4	v1	0,1,2	0,1,2	-2.367000	4.351000	43.163000,47.535000,55.561000	129.356000,126.416000,91.967000	-	18.445615
+5	r1	1,2,3	1,2,3	-8.639000	18.472000	54.628000,51.123000,35.756000	128.777000,96.669000,68.105000	0.828000	-
+6	v1	0,1	0,1	-17.135000	-11.033000	58.977000,20.819000	109.526000,68.924000	0.127690	3.193127
+7	r1	0,1	0,1	11.754000	22.810000	33.655000,45.502000	106.413000,77.980000	-	22.515437
+8	v1	0,1,3	0,1,3	-15.299000	4.647000	50.008000,20.261000,21.950000	86.000000,102.463000,78.508000	-	-
+9	r1	0,1	0,1	-17.746000	-13.872000	21.168000,57.739000	109.160000,135.922000	-	7.268116
+10	v1	0,1,3	0,1,3	-11.851000	20.195000	45.215000,26.959000,33.473000	118.991000,70.427000,104.768000	-	-
+11	r1	2,3	2,3	8.930000	11.267000	20.488000,23.861000	90.139000,86.486000	8.033000	2.519903
+12	v1	0,3	0,3	-9.462000	9.877000	50.790000,26.019000	83.098000,96.942000	2.923000	-
+13	r1	1,3	1,3	4.034000	24.115000	53.143000,55.242000	109.357000,115.287000	-	17.440901
+14	v1	0,3	0,3	-8.059000	-3.259000	49.755000,26.439000	107.979000,90.796000	3.376235	-
+15	r1	1,3	1,3	-7.726000	14.590000	45.487000,46.314000	111.753000,99.658000	4.710000	5.030056
+16	v1	2,3	2,3	-13.211000	-1.386000	49.811000,52.739000	109.667000,101.291000	14.186000	-
+17	r1	1,2	1,2	-0.607000	2.900000	54.659000,47.217000	118.856000,111.498000	16.400000	32.447848
+18	v1	0,2,3	0,2,3	-14.663000	0.507000	26.352000,22.625000,49.185000	57.123000,75.724000,100.206000	12.293000	-
+19	r1	1,2	1,2	4.334000	19.330000	28.385000,39.543000	77.838000,114.930000	-	24.569629
+20	v1	0,1	0,1	-15.831000	18.330000	30.382000,49.402000	64.057000,122.930000	-	-
+21	r1	1,3	1,3	14.409000	19.722000	26.483000,53.706000	76.806000,129.755000	-	20.489441
+22	v1	0,1,2	0,1,2	-18.799000	11.603000	27.848000,56.815000,25.496000	85.590000,113.922000,88.190000	-	-
+23	r1	0,2,3	0,2,3	-9.820000	10.845000	25.846000,21.589000,39.145000	70.187000,94.579000,93.835000	-	-
+24	v1	1,2,3	1,2,3	-16.867000	15.358000	44.436000,20.543000,41.398000	113.787000,110.210000,117.061000	14.044991	-
+25	r1	0,1	0,1	-18.279000	-13.891000	36.523000,35.149000	105.338000,74.137000	7.068521	8.948668
+26	v1	1,2	1,2	-19.296000	-17.301000	23.732000,42.820000	82.631000,101.623000	46.064949	-
+27	r1	2,3	2,3	-12.542000	-0.119000	33.344000,20.471000	103.410000,76.040000	7.587508	-
+28	v1	0,1	0,1	8.723000	21.435000	30.327000,24.523000	104.606000,83.249000	-	9.816522
+29	r1	0,2	0,2	-17.449000	-0.508000	45.947000,42.833000	97.536000,84.530000	5.921156	10.089982
+30	v1	0,2	0,2	-18.861000	7.529000	42.980000,54.255000	115.316000,102.631000	5.271000	0.235759
+31	r1	0,1	0,1	13.265000	15.689000	30.801000,51.212000	111.809000,137.373000	-	24.343333
+32	v1	1,3	1,3	9.032000	21.369000	46.428000,31.738000	131.872000,115.077000	7.350381	12.804548
+33	r1	1,2	1,2	13.980000	16.351000	48.020000,50.057000	135.582000,134.721000	2.949000	48.956435
+34	v1	0,1,3	0,1,3	5.763000	22.014000	43.267000,41.172000,28.791000	102.892000,75.988000,111.106000	-	7.529878
+35	r1	0,1,3	0,1,3	-6.420000	12.414000	56.477000,36.260000,39.837000	109.022000,72.599000,87.848000	-	7.511768
+36	v1	1,2	1,2	-14.278000	-8.382000	31.465000,25.250000	67.416000,114.601000	36.870512	-
+37	r1	1,3	1,3	-11.638000	-9.728000	50.317000,35.811000	123.739000,72.128000	3.865641	3.198780
+38	v1	1,2	1,2	-13.777000	12.212000	49.885000,31.707000	85.043000,121.349000	17.068572	2.619061
+39	r1	0,1,2	0,1,2	-19.329000	19.626000	45.859000,54.549000,27.937000	116.966000,140.618000,105.174000	-	11.922331
+40	v1	0,2	0,2	12.682000	21.850000	43.292000,37.860000	92.938000,77.969000	-	29.116726
+41	r1	1,3	1,3	-4.409000	4.071000	21.000000,57.655000	51.660000,147.460000	15.229000	-
+42	v1	0,2	0,2	5.198000	15.324000	39.736000,57.403000	119.638000,117.232000	-	24.424808
+43	r1	2,3	2,3	-9.918000	16.786000	47.642000,33.581000	102.924000,115.798000	2.514000	-
+44	v1	1,2,3	1,2,3	1.187000	11.624000	59.550000,44.630000,59.773000	117.943000,80.709000,99.931000	17.852083	-
+45	r1	0,1	0,1	3.921000	8.108000	38.933000,47.619000	102.884000,90.498000	-	14.900475
+46	v1	0,3	0,3	-18.253000	20.849000	38.756000,40.108000	96.994000,72.475000	-	-
+47	r1	0,2,3	0,2,3	-16.961000	24.797000	25.920000,41.997000,39.186000	95.426000,115.915000,93.094000	-	-
+48	v1	0,1	0,1	9.529000	12.940000	42.241000,58.584000	119.338000,136.635000	-	12.220797
+49	r1	0,1,3	0,1,3	-13.448000	21.665000	28.705000,34.974000,58.263000	71.022000,104.940000,91.153000	-	-
+50	v1	0,1,2	0,1,2	-18.596000	13.635000	21.383000,58.886000,32.324000	81.406000,148.089000,74.752000	-	-
+51	r1	1,2	1,2	-19.047000	-13.283000	24.020000,43.662000	68.071000,101.618000	32.583000	-
+52	v1	2,3	2,3	-13.644000	4.945000	49.598000,51.672000	116.038000,136.928000	7.855000	-
+53	r1	0,2	0,2	13.245000	22.423000	50.997000,20.311000	135.004000,91.192000	-	11.664026
+54	v1	0,2	0,2	-16.231000	14.532000	39.795000,35.431000	127.626000,124.729000	-	3.966595
+55	r1	1,3	1,3	-14.028000	15.350000	27.787000,48.298000	82.134000,133.011000	3.950000	-
+56	v1	2,3	2,3	-11.313000	-8.952000	54.412000,58.090000	132.635000,137.174000	21.752000	-
+57	r1	0,1	0,1	-19.192000	-7.555000	34.089000,21.529000	109.178000,105.089000	-	8.305524
+58	v1	1,2	1,2	-4.520000	23.300000	53.882000,28.675000	90.465000,63.496000	2.328581	13.020631
+59	r1	0,2,3	0,2,3	-4.002000	13.398000	33.621000,41.137000,24.107000	108.922000,124.638000,59.391000	-	-
+60	v1	0,3	0,3	5.767000	16.352000	38.384000,38.265000	125.316000,73.113000	-	8.586018
+61	r1	1,2	1,2	-3.169000	-2.345000	23.650000,29.741000	66.703000,83.965000	21.645000	14.043372
+62	v1	1,2	1,2	-12.279000	-5.678000	36.298000,35.711000	118.449000,117.957000	34.995281	6.525409
+63	r1	2,3	2,3	-15.968000	10.940000	24.537000,36.215000	70.904000,98.006000	8.360000	-
+64	v1	2,3	2,3	-4.819000	19.890000	31.223000,22.728000	85.027000,81.505000	6.329429	-
+65	r1	2,3	2,3	-19.462000	17.152000	59.570000,45.940000	140.354000,77.700000	2.148000	-
+66	v1	0,1	0,1	-9.880000	10.946000	56.770000,56.927000	107.017000,142.919000	-	9.879191
+67	r1	0,3	0,3	-10.414000	3.713000	33.980000,52.225000	87.537000,112.596000	-	-
+68	v1	1,2,3	1,2,3	-16.057000	7.587000	34.842000,49.531000,35.668000	115.450000,104.257000,108.834000	20.996587	-
+69	r1	0,3	0,3	7.185000	23.863000	54.073000,26.751000	89.028000,103.491000	-	2.970297
+70	v1	0,1	0,1	-12.003000	20.291000	22.238000,55.277000	97.895000,98.710000	-	2.489792
+71	r1	0,3	0,3	-11.568000	23.945000	52.335000,28.388000	119.419000,118.374000	-	3.143541
+72	v1	0,2	0,2	-14.783000	14.793000	34.188000,31.664000	120.950000,84.276000	-	3.932779
+73	r1	0,1	0,1	0.783000	14.085000	25.734000,55.080000	75.771000,117.110000	-	6.737019
+74	v1	0,3	0,3	-5.146000	2.978000	39.342000,51.471000	80.900000,109.855000	9.822000	-
+75	r1	0,1,3	0,1,3	-1.029000	18.590000	41.003000,59.886000,58.367000	123.427000,111.124000,105.826000	-	12.769502
+76	v1	1,2	1,2	3.578000	19.278000	49.727000,52.393000	86.838000,95.966000	9.720838	20.172985
+77	r1	0,3	0,3	17.318000	21.609000	21.042000,32.496000	90.725000,72.700000	-	11.179631
+78	v1	1,3	1,3	-5.306000	15.661000	56.249000,20.402000	131.544000,70.158000	9.755699	-
+79	r1	0,2	0,2	-5.343000	4.974000	41.696000,27.336000	107.078000,114.504000	-	23.211494
+80	v1	0,1	0,1	-18.831000	-4.790000	59.910000,43.060000	110.876000,94.125000	3.501542	1.772547
+81	r1	0,2,3	0,2,3	-1.998000	18.024000	32.063000,42.814000,54.719000	89.571000,116.922000,110.792000	-	-
+82	v1	0,2,3	0,2,3	-9.004000	13.044000	39.234000,34.809000,51.947000	124.627000,106.066000,108.358000	-	-
+83	r1	0,1	0,1	-8.570000	21.665000	32.806000,33.065000	103.167000,111.273000	-	1.680938
+84	v1	1,2	1,2	-16.566000	-8.901000	44.072000,36.483000	119.745000,108.797000	37.715154	3.340569
+85	r1	1,3	1,3	-9.281000	9.627000	25.034000,42.862000	107.897000,79.519000	9.673000	0.467187
+86	v1	0,1	0,1	-4.936000	13.098000	21.687000,43.674000	76.739000,93.917000	-	6.938069
+87	r1	1,2	1,2	5.449000	15.975000	35.806000,28.323000	83.680000,81.584000	3.325000	28.211249
+88	v1	0,2,3	0,2,3	-4.829000	11.545000	32.798000,33.483000,44.396000	112.448000,119.954000,121.600000	1.255000	-
+89	r1	2,3	2,3	-18.020000	17.363000	56.292000,48.912000	104.162000,81.181000	1.937000	-
+90	v1	0,2	0,2	-11.299000	-6.145000	41.646000,36.182000	88.673000,118.420000	18.945000	4.422626
+91	r1	1,2	1,2	-19.990000	15.861000	34.341000,25.182000	117.433000,77.676000	3.439000	8.923157
+92	v1	1,3	1,3	-18.094000	24.628000	58.084000,48.273000	107.690000,111.537000	4.854307	-
+93	r1	1,3	1,3	-17.254000	-15.088000	46.113000,57.339000	88.411000,123.861000	0.699242	-
+94	v1	0,1,2	0,1,2	-17.566000	-4.813000	43.954000,46.555000,25.596000	96.107000,107.318000,87.838000	-	-
+95	r1	0,1,3	0,1,3	-14.142000	12.422000	39.907000,52.401000,45.024000	128.613000,99.823000,79.082000	-	0.166378
+96	v1	0,1	0,1	20.236000	23.512000	33.907000,38.738000	112.382000,115.346000	-	22.010675
+97	r1	1,2	1,2	-1.491000	-0.350000	51.317000,31.901000	129.600000,79.655000	19.650000	32.973939
+98	v1	0,2,3	0,2,3	-13.154000	-8.153000	48.502000,53.851000,20.457000	125.445000,123.582000,54.708000	20.953000	-
+99	r1	1,3	1,3	-4.098000	22.724000	26.257000,26.655000	58.450000,86.237000	-	-
+100	v1	2,3	2,3	-16.513000	14.577000	54.111000,40.140000	115.730000,88.030000	13.047750	-
+101	r1	2,3	2,3	17.880000	21.302000	34.514000,56.772000	92.826000,141.175000	-	12.465474
+102	v1	1,3	1,3	5.844000	20.374000	58.776000,57.095000	138.651000,143.276000	11.489608	10.772165
+103	r1	0,1	0,1	-18.507000	-16.176000	24.167000,29.953000	104.062000,107.827000	5.827823	6.104251
+104	v1	0,1	0,1	-15.032000	4.623000	43.531000,20.640000	104.818000,73.851000	-	2.864757
+105	r1	1,3	1,3	-4.912000	3.556000	41.594000,55.948000	82.520000,126.511000	15.744000	3.745218
+106	v1	0,2,3	0,2,3	-16.560000	8.497000	59.560000,57.134000,46.600000	127.655000,109.698000,81.134000	4.303000	-
+107	r1	1,3	1,3	-16.468000	22.070000	54.778000,51.963000	116.407000,84.067000	-	-
+108	v1	1,2,3	1,2,3	-10.318000	11.231000	58.356000,20.604000,47.133000	91.548000,98.401000,129.832000	19.258462	-
+109	r1	1,2	1,2	-17.550000	19.257000	41.840000,38.907000	87.497000,82.092000	0.043000	7.088878
+110	v1	0,2,3	0,2,3	8.702000	23.266000	52.136000,37.757000,45.881000	133.447000,71.776000,109.855000	-	-
+111	r1	0,2	0,2	-15.439000	8.990000	39.740000,46.693000	94.463000,113.001000	-	10.318853
+112	v1	1,2	1,2	-8.762000	13.737000	40.655000,27.599000	114.900000,111.306000	14.694770	10.140595
+113	r1	0,1,3	0,1,3	-17.209000	7.929000	59.773000,48.684000,54.920000	91.990000,133.472000,90.988000	-	-
+114	v1	0,1	0,1	-0.539000	0.625000	42.714000,49.409000	96.720000,97.920000	-	0.824500
+115	r1	2,3	2,3	-13.180000	9.094000	58.414000,57.052000	103.870000,92.037000	10.206000	-
+116	v1	2,3	2,3	0.559000	1.598000	45.585000,28.618000	100.884000,101.956000	11.202000	-
+117	r1	1,3	1,3	-17.902000	-15.732000	33.253000,34.201000	117.315000,90.860000	7.876917	-
+118	v1	0,1,2	0,1,2	-5.652000	21.841000	32.030000,53.030000,36.882000	96.745000,101.844000,92.900000	-	9.883359
+119	r1	0,1	0,1	-19.133000	-10.566000	25.674000,20.435000	71.046000,62.200000	7.041177	-

docs/ALGO_MODE.md

@@ -100,13 +100,55 @@ TGC 로 재면 원거리 이득이 약한 채널을 정상 채널에 붙여 놓
   bit-exact" 라던 종전 주석은 근거가 없어져 걷어내고, 성격을 **회귀 고정**으로 바꿔
   적었다.
 
+## 나중에 추가된 3건 (2026-09-03)
+
+`post_tie_lock` · `_sibeam_cap_bounds` · F83 을 마저 옮겼다. 셋 다 레퍼런스 경로에서만
+의미가 있다.
+
+| 항목 | 어디 | 기존 경로에 미치는 영향 |
+|---|---|---|
+| `post_tie_lock` | `walldetect/PostTieLock.kt` | 없음 — 상태기를 **넘길 때만** 동작하고, 넘기는 호출부가 없다 |
+| `_sibeam_cap_bounds` | `PiezoBVEstimator.kt` | 없음 — `AlgoMode.reference` 로 막았다 |
+| 미러 + F83 | `PiezoBVF83.kt` | 없음 — `mirrorBottomCap` 을 켜는 호출부가 F83 뿐이다 |
+
+`post_tie_lock` 은 후벽 상위 두 후보의 score 가 구조적으로 붙는 구간에서 **직전 trace 의
+선택을 유지**한다(방향을 강제하지 않는다 — 그렇게 한 앞선 시도들은 전부 계통 편향을
+낳았다). 레퍼런스도 streaming 경로의 strict pass 에서만 걸고 정렬에서는 쓰지 않으므로,
+`streaming.py` 를 옮기기 전까지는 클래스와 배선만 자리를 잡아 둔 상태다.
+
+### 좌표계가 두 개다 — 레퍼런스를 그대로 따랐다
+
+레퍼런스 `cross_channel._z` 는 `sample_to_ap_depth(idx, angle)` 를 **인자 없이** 불러
+교차채널 좌표가 언제나 모듈 기본값(1.936 / 6.85)으로 떨어진다. 반면 BV 는 프리셋 값을
+명시로 넘긴다. abs(vr\*)는 두 값이 같아 표가 안 나지만 **실리콘(r\*: 1.897/7.651)에서는
+갈린다** — 실측 f06/r1 단일 cycle 에서 CH0 전벽이 8 vs 14 로 갈려 부피가 439.88 vs
+416.95 mL 이 됐다. `is_deep` 판정이 34.209 > 34.042 처럼 아슬아슬하게 걸리는 자리라
+작은 좌표 차이가 그대로 선택을 뒤집는다.
+
+의도인지 누락인지 **알고리즘팀 확인이 필요하다.** 확인 전까지는 레퍼런스와 같은 값을
+내는 쪽을 택했고, **기존 경로는 프리셋 값을 그대로 쓴다** — 오늘 임상이 그 위에서 돌았다.
+
+### 대조 결과
+
+`ThreeFeatureParityTest` 가 모드 ON 상태에서 레퍼런스 산출 기대값과 대조한다.
+실데이터는 abs 인체 0~4cm 라 미러·nch=2 에 거의 안 닿아, 그 경로는 합성 입력으로
+**레퍼런스 함수를 직접 호출한** 기대값으로 덮었다.
+
+| 대조 | 행 | 실제로 밟은 경로 |
+|---|---|---|
+| tie lock | 1568 | lock 발동 24 건 |
+| 실데이터 BV | 784 | nch=2 6 건 |
+| sibeam | 120 | 상한 산출 102 건 |
+| 합성 BV | 640 | `mirror sphere` 226 건 |
+| F83 blend | 440 | weight 0→1 |
+| F83 apply | 12 | sub-window 재검출 |
+
+전부 불일치 0.
+
 ## 아직 안 옮긴 것
 
-| 항목 | 왜 |
+`streaming.py`(연속 측정 상태기). `post_tie_lock` 의 자연스러운 소비처라 함께 설계해야
-|---|---|
+한다.
-| `post_tie_lock` | 상태기 — 스트리밍 경로와 함께 설계해야 한다 |
-| `_sibeam_cap_bounds` | nch=2 전용 |
-| F83 cap 보간 | 실리콘 + supine 조건 |
 
 레퍼런스 저장소의 `library/analysis/abdomen.py` 가 커밋되어 있지 않아
 `pipeline_dump.py` · `compare.py` 가 그대로는 돌지 않는다. 이번 대조는 스크래치 사본에