Add Android production release and testing builds workflows

- Introduced `civilization_benchmark.gd` and `legacy_quantity_math.gd` for benchmarking and legacy quantity calculations.
- Created `test_dynamic_math.gd`, `test_frame_evolution.gd`, and `test_sparse_batches.gd` to validate mathematical operations and frame evolution logic.
- Implemented `frame_budget.gd` to manage cooperative work on the main thread, ensuring no partially calculated state is published.
- Added UID files for all new scripts to maintain unique identifiers.

.gitea/workflows/android-release.yml

@@ -0,0 +1,107 @@
+name: Android production release
+
+on:
+  push:
+    tags:
+      - "v*"
+
+jobs:
+  test-build-publish:
+    runs-on: godot
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+        with:
+          fetch-depth: 0
+          lfs: true
+
+      - name: Verify tag belongs to main
+        run: |
+          git fetch origin main
+          git merge-base --is-ancestor "${GITHUB_SHA}" origin/main
+
+      - name: Show Godot version
+        run: godot --version
+
+      - name: Import project
+        run: |
+          rm -rf .godot
+          godot --headless --path . --editor --import --quit --verbose
+
+      - name: Run all tests
+        shell: bash
+        run: |
+          set -euo pipefail
+          mapfile -t tests < <(find tests -maxdepth 1 -type f -name 'test_*.gd' | sort)
+          test "${#tests[@]}" -gt 0
+
+          for test_file in "${tests[@]}"; do
+            echo "::group::${test_file}"
+            godot --headless --path . --script "res://${test_file}"
+            echo "::endgroup::"
+          done
+
+      - name: Prepare Android signing
+        env:
+          ANDROID_KEYSTORE_BASE64: ${{ secrets.ANDROID_KEYSTORE_BASE64 }}
+        run: |
+          test -n "${ANDROID_KEYSTORE_BASE64}"
+          printf '%s' "${ANDROID_KEYSTORE_BASE64}" | base64 --decode > "${RUNNER_TEMP}/release.keystore"
+          test -s "${RUNNER_TEMP}/release.keystore"
+
+      - name: Configure release AAB
+        env:
+          RELEASE_VERSION: ${{ github.ref_name }}
+          RELEASE_VERSION_CODE: ${{ github.run_number }}
+        run: |
+          python3 - <<'PY'
+          import os
+          import re
+          from pathlib import Path
+
+          path = Path("export_presets.cfg")
+          text = path.read_text()
+          start = text.index('[preset.1.options]')
+          head, android = text[:start], text[start:]
+          replacements = (
+              (r'gradle_build/use_gradle_build=false', 'gradle_build/use_gradle_build=true'),
+              (r'gradle_build/export_format=0', 'gradle_build/export_format=1'),
+              (r'package/signed=false', 'package/signed=true'),
+              (r'version/code=\d+', f'version/code={100000 + int(os.environ["RELEASE_VERSION_CODE"])}'),
+              (r'version/name="[^"]*"', f'version/name="{os.environ["RELEASE_VERSION"].removeprefix("v")}"'),
+          )
+          for pattern, replacement in replacements:
+              android, count = re.subn(pattern, replacement, android, count=1)
+              if count != 1:
+                  raise RuntimeError(f'Expected one Android preset match for {pattern!r}, got {count}')
+          path.write_text(head + android)
+          PY
+
+      - name: Build signed Android App Bundle
+        env:
+          GODOT_ANDROID_KEYSTORE_RELEASE_USER: ${{ secrets.ANDROID_KEYSTORE_ALIAS }}
+          GODOT_ANDROID_KEYSTORE_RELEASE_PASSWORD: ${{ secrets.ANDROID_KEYSTORE_PASSWORD }}
+        run: |
+          export GODOT_ANDROID_KEYSTORE_RELEASE_PATH="${RUNNER_TEMP}/release.keystore"
+          mkdir -p build
+          godot --headless --path . --export-release "Android" build/owniverse-${GITHUB_REF_NAME}.aab
+          test -s "build/owniverse-${GITHUB_REF_NAME}.aab"
+          ls -lh "build/owniverse-${GITHUB_REF_NAME}.aab"
+
+      - name: Publish to Google Play production
+        uses: r0adkll/upload-google-play@v1
+        with:
+          serviceAccountJsonPlainText: ${{ secrets.GOOGLE_PLAY_SERVICE_ACCOUNT_JSON }}
+          packageName: com.KIDGameProduction.Owniverse
+          releaseFiles: build/owniverse-${{ github.ref_name }}.aab
+          tracks: production
+          status: completed
+
+      - name: Upload release bundle
+        uses: actions/upload-artifact@v3
+        with:
+          name: owniverse-${{ github.ref_name }}-aab
+          path: build/owniverse-${{ github.ref_name }}.aab
+          if-no-files-found: error
+          retention-days: 90

.gitea/workflows/android.yml

@@ -1,94 +0,0 @@
-name: Android
-
-on:
-  push:
-    tags:
-      - "v*"
-
-jobs:
-  android:
-    runs-on: godot
-
-    steps:
-      - name: Checkout
-        uses: actions/checkout@v4
-        with:
-          lfs: true
-      - name: Godot version
-        run: godot --version
-
-      - name: Prepare Godot
-        run: |
-          rm -rf .godot
-
-          godot \
-                --headless \
-                --path . \
-                --editor \
-                --import \
-                --quit \
-                --verbose
-
-
-      - name: Build APK
-        run: |
-          mkdir -p build
-
-          godot \
-            --headless \
-            --path . \
-            --editor \
-            --import \
-            --quit
-
-          godot \
-            --headless \
-            --path . \
-            --export-release "Android" \
-            build/app.apk
-
-
-      - name: Check imported resources
-        run: |
-          echo "=== PNG imports ==="
-          find .godot/imported -iname '*habitable*' -o -iname '*civ2*'
-
-          echo "=== PNG files ==="
-          ls -lh ui/4-life/habitable_planet.png
-          ls -lh ui/4-life/civ2.png
-
-
-      - name: Verify APK
-        run: |
-          test -f build/app.apk
-          ls -lh build/app.apk
-
-      - name: Create Release
-        env:
-          GITEA_TOKEN: ${{ secrets.RELEASE_TOKEN }}
-        run: |
-          curl -f \
-            -X POST \
-            -H "Authorization: token ${GITEA_TOKEN}" \
-            -H "Content-Type: application/json" \
-            "https://gt.owad.ru/api/v1/repos/K/owniverse/releases" \
-            -d "{
-              \"tag_name\": \"${GITHUB_REF_NAME}\",
-              \"name\": \"${GITHUB_REF_NAME}\",
-              \"body\": \"Android build ${GITHUB_REF_NAME}\"
-            }"
-
-      - name: Upload APK to Release
-        env:
-          GITEA_TOKEN: ${{ secrets.RELEASE_TOKEN }}
-        run: |
-          RELEASE_ID=$(curl -fsS \
-            -H "Authorization: token ${GITEA_TOKEN}" \
-            "https://gt.owad.ru/api/v1/repos/K/owniverse/releases/tags/${GITHUB_REF_NAME}" \
-            | python3 -c 'import sys,json; print(json.load(sys.stdin)["id"])')
-
-          curl -f \
-            -X POST \
-            -H "Authorization: token ${GITEA_TOKEN}" \
-            -F "attachment=@build/app.apk" \
-            "https://gt.owad.ru/api/v1/repos/K/owniverse/releases/${RELEASE_ID}/assets?name=owniverse-${GITHUB_REF_NAME}.apk"

.gitea/workflows/testing-builds.yml

@@ -0,0 +1,62 @@
+name: Testing builds
+
+on:
+  push:
+    branches:
+      - testing
+
+jobs:
+  test-and-build:
+    runs-on: godot
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+        with:
+          lfs: true
+
+      - name: Show Godot version
+        run: godot --version
+
+      - name: Import project
+        run: |
+          rm -rf .godot
+          godot --headless --path . --editor --import --quit --verbose
+
+      - name: Run all tests
+        shell: bash
+        run: |
+          set -euo pipefail
+          mapfile -t tests < <(find tests -maxdepth 1 -type f -name 'test_*.gd' | sort)
+          test "${#tests[@]}" -gt 0
+
+          for test_file in "${tests[@]}"; do
+            echo "::group::${test_file}"
+            godot --headless --path . --script "res://${test_file}"
+            echo "::endgroup::"
+          done
+
+      - name: Build Android APK
+        run: |
+          mkdir -p build
+          godot --headless --path . --export-release "Android" build/owniverse-testing.apk
+
+      - name: Build Windows EXE
+        run: |
+          godot --headless --path . --export-release "Windows Desktop" build/owniverse-testing.exe
+
+      - name: Verify builds
+        run: |
+          test -s build/owniverse-testing.apk
+          test -s build/owniverse-testing.exe
+          ls -lh build/owniverse-testing.apk build/owniverse-testing.exe
+
+      - name: Upload testing builds
+        uses: actions/upload-artifact@v3
+        with:
+          name: owniverse-testing-${{ github.sha }}
+          path: |
+            build/owniverse-testing.apk
+            build/owniverse-testing.exe
+          if-no-files-found: error
+          retention-days: 14

autoload/global.gd

@@ -1,4 +1,5 @@
 extends Node
+const E = preload("res://world/owniverse/math/exact.gd")
 
 const SPEED_LIMIT: int = 6
 
@@ -57,37 +58,15 @@ func get_description(item_id: String, items: Array = []) -> String:
     return render_template(row, variables)
 
 
-func format_number(value: float, digits: int = 0) -> String:
-    if value == 0: return ""
-    # Keep ordinary quantities readable, grouping thousands with spaces.
-    # Scientific notation is reserved for values whose fixed form would be
-    # unwieldy in the UI.
-    if absf(value) < 1_000_000_000.0:
-        var fixed: String = "%.*f" % [digits, value]
-        var parts: PackedStringArray = fixed.split(".", true)
-        var integer: String = parts[0]
-        var sign: String = ""
-        if integer.begins_with("-") or integer.begins_with("+"):
-            sign = integer.left(1)
-            integer = integer.substr(1)
-        var grouped: String = ""
-        while integer.length() > 3:
-            grouped = " " + integer.right(3) + grouped
-            integer = integer.left(integer.length() - 3)
-        grouped = sign + integer + grouped
-        return grouped + ("." + parts[1] if parts.size() > 1 else "")
-
-    var exp_value = int(floor(log(abs(value)) / log(10.0)))
-    var mantissa = value / pow(10.0, exp_value)
-    
-    return "%.*f" % [digits, mantissa] + "E%+d" % exp_value
+func format_number(value, digits: int = 0) -> String:
+    return E.grouped(value, digits)
 
 
 func _ready() -> void:
     CivilizationRules.clear()
     for row: Dictionary in _read_from_csv("res://data/civilization_rules.txt").values():
         if not CivilizationRules.has(row.stage):
-            CivilizationRules[row.stage] = {"home": row.home, "span": float(row.span), "stars": float(row.stars), "ethics": {},
+            CivilizationRules[row.stage] = {"home": row.home, "span": E.of(row.span), "stars": E.of(row.stars), "ethics": {},
                 "colonizes": row.colonizes == "1", "fights": row.fights == "1", "diplomacy": row.diplomacy == "1", "worships": row.worships == "1"}
         CivilizationRules[row.stage].ethics[row.ethic] = row
     var stages: Array = CivilizationRules.keys()
@@ -104,8 +83,8 @@ func _ready() -> void:
     Locales["en"] = _read_from_csv("res://data/locale.en.txt")
     Locales["ru"] = _read_from_csv("res://data/locale.ru.txt")
     
-    Templates["en"] = _read_from_csv("res://data/templates.en.txt")
-    Templates["ru"] = _read_from_csv("res://data/templates.ru.txt")
+
+    Templates = OwniverseTemplate.get_data()
     
 
 func _read_from_csv(file_path: String) -> Dictionary:

autoload/save_manager.gd

@@ -1,17 +1,19 @@
 # SaveManager.gd (добавить в AutoLoad)
 extends Node
+const E = preload("res://world/owniverse/math/exact.gd")
 
 # ~/Library/Application Support/Godot/app_userdata/Owniverse Adventure/savegame.cfg
-const SETTING_SECTION := "Settings"
+const SETTING_SECTION = "Settings"
 const SAVE_PATH = "user://settings.cfg"
 
-const FORMAT_VERSION: int = 2
+const FORMAT_VERSION : int = 5
 const SimulationTime = preload("res://world/owniverse/simulation_time.gd")
-const STATE_VERSION: String = SimulationTime.STATE_VERSION
+const WorldParameters = preload("res://world/owniverse/world_parameters.gd")
+const STATE_VERSION : String = SimulationTime.STATE_VERSION
 var last_error: String = ""
 var blocked_saves: Dictionary = {}
 var save_directory: String = "user://"
-signal save_completed(filename: String, success: bool, error: String)
+signal save_completed ( filename : String , success : bool , error : String )
 signal saves_drained
 
 # Queue ownership stays on the main thread. The worker only sees its snapshot.
@@ -20,30 +22,28 @@ var _active_filename: String = ""
 var _pending_saves: Dictionary = {}
 
 
-func _process(_delta: float) -> void:
-    if _save_thread != null and not _save_thread.is_alive():
+func _process(_delta: Variant) -> void:
+    if (E.ne(_save_thread, null) and (not _save_thread.is_alive())):
         _finish_save()
 
 
 func is_saving() -> bool:
-    return _save_thread != null or not _pending_saves.is_empty()
+    return (E.ne(_save_thread, null) or (not _pending_saves.is_empty()))
 
 
 func _snapshot(filename: String, password: String, data: Dictionary) -> Dictionary:
-    var payload: Dictionary = data.duplicate(true)
+    var payload: Dictionary = E.encode(data)
     payload.format_version = FORMAT_VERSION
     payload.app_version = str(ProjectSettings.get_setting("application/config/version", ""))
-    return {"filename": filename, "path": save_directory.path_join(filename + ".adventure"), "password": password, "payload": payload,
-        "plaintext": Global.save_plaintext_copy, "speed_limit": Global.SPEED_LIMIT,
-        "stages": Global.CivilizationRules.keys()}
+    return {"filename": filename, "path": save_directory.path_join(E.add(filename, ".adventure")), "password": password, "payload": payload, "plaintext": Global.save_plaintext_copy, "speed_limit": Global.SPEED_LIMIT, "stages": Global.CivilizationRules.keys(), "entities": Global.OwniverseEntities.keys()}
 
 
 ## True means queued, not written. Completion is reported by save_completed.
 func request_save(filename: String, password: String, data: Dictionary) -> bool:
     if blocked_saves.has(filename):
-        return _fail("Save blocked to preserve an unreadable save: " + filename)
+        return _fail(E.add("Save blocked to preserve an unreadable save: ", filename))
     _pending_saves[filename] = _snapshot(filename, password, data)
-    if _save_thread == null:
+    if E.eq(_save_thread, null):
         _start_save()
     return true
 
@@ -56,12 +56,12 @@ func _start_save() -> void:
     _pending_saves.erase(_active_filename)
     _save_thread = Thread.new()
     var error: Error = _save_thread.start(_write_snapshot.bind(job))
-    if error != OK:
+    if E.ne(error, OK):
         _save_thread = null
-        _fail("Cannot start save worker: " + error_string(error))
+        _fail(E.add("Cannot start save worker: ", error_string(error)))
         save_completed.emit(_active_filename, false, last_error)
         _start_save()
-        if not is_saving(): saves_drained.emit()
+        if (not is_saving()): saves_drained.emit()
 
 
 func _finish_save() -> void:
@@ -69,17 +69,17 @@ func _finish_save() -> void:
     var filename: String = _active_filename
     _save_thread = null
     last_error = error
-    if error != "": push_error(error)
-    save_completed.emit(filename, error == "", error)
-    if _save_thread == null: _start_save()
-    if not is_saving(): saves_drained.emit()
+    if E.ne(error, ""): push_error(error)
+    save_completed.emit(filename, E.eq(error, ""), error)
+    if E.eq(_save_thread, null): _start_save()
+    if (not is_saving()): saves_drained.emit()
 
 
 ## Used for application suspension and teardown, when frames may stop arriving.
 func flush_saves() -> void:
     while is_saving():
-        if _save_thread == null: _start_save()
-        if _save_thread != null: _finish_save()
+        if E.eq(_save_thread, null): _start_save()
+        if E.ne(_save_thread, null): _finish_save()
 
 
 func _exit_tree() -> void:
@@ -98,44 +98,44 @@ func save_data(filename: String, password: String, data: Dictionary) -> bool:
     flush_saves()
     last_error = ""
     if blocked_saves.has(filename):
-        return _fail("Save blocked to preserve an unreadable save: " + filename)
+        return _fail(E.add("Save blocked to preserve an unreadable save: ", filename))
     var error: String = _write_snapshot(_snapshot(filename, password, data))
-    return _fail(error) if error != "" else true
+    return (_fail(error) if E.ne(error, "") else true)
 
 
 static func _write_snapshot(job: Dictionary) -> String:
     var payload: Dictionary = job.payload
-    var problem: String = _validate_payload(payload, job.speed_limit, job.stages)
-    if problem != "":
-        return "Invalid save: " + problem
+    var problem: String = _validate_payload(payload, job.speed_limit, job.stages, job.entities)
+    if E.ne(problem, ""):
+        return E.add("Invalid save: ", problem)
     var path: String = job.path
-    var temporary: String = path + ".tmp"
-    var file := FileAccess.open_encrypted_with_pass(temporary, FileAccess.WRITE, job.password)
-    if file == null:
-        return "Cannot write encrypted save: " + temporary
+    var temporary: String = E.add(path, ".tmp")
+    var file = FileAccess.open_encrypted_with_pass(temporary, FileAccess.WRITE, job.password)
+    if E.eq(file, null):
+        return E.add("Cannot write encrypted save: ", temporary)
     file.store_var(payload, false)
     file.close()
     # Check the actual encrypted file, including finalization, before replacing the old save.
-    var verification := FileAccess.open_encrypted_with_pass(temporary, FileAccess.READ, job.password)
-    if verification == null:
-        return "Cannot verify encrypted save: " + temporary
+    var verification = FileAccess.open_encrypted_with_pass(temporary, FileAccess.READ, job.password)
+    if E.eq(verification, null):
+        return E.add("Cannot verify encrypted save: ", temporary)
     var restored: Variant = verification.get_var(false)
     verification.close()
-    if not restored is Dictionary or restored != payload:
-        return "Encrypted save verification failed: " + temporary
-    if DirAccess.rename_absolute(temporary, path) != OK:
-        return "Cannot replace encrypted save: " + path
+    if ((not (restored is Dictionary)) or E.ne(restored, payload)):
+        return E.add("Encrypted save verification failed: ", temporary)
+    if E.ne(DirAccess.rename_absolute(temporary, path), OK):
+        return E.add("Cannot replace encrypted save: ", path)
     if job.plaintext:
-        var plain_path: String = path + ".json"
-        file = FileAccess.open(plain_path + ".tmp", FileAccess.WRITE)
-        if file == null:
-            return "Encrypted save written, but cannot write diagnostic copy: " + plain_path
-        file.store_string(JSON.stringify(payload, "  ", true, true) + "\n")
+        var plain_path: String = E.add(path, ".json")
+        file = FileAccess.open(E.add(plain_path, ".tmp"), FileAccess.WRITE)
+        if E.eq(file, null):
+            return E.add("Encrypted save written, but cannot write diagnostic copy: ", plain_path)
+        file.store_string(E.add(JSON.stringify(payload, "  ", true, true), "\n"))
         file.flush()
         var write_error: Error = file.get_error()
         file.close()
-        if write_error != OK or DirAccess.rename_absolute(plain_path + ".tmp", plain_path) != OK:
-            return "Encrypted save written, but diagnostic copy failed: " + plain_path
+        if (E.ne(write_error, OK) or E.ne(DirAccess.rename_absolute(E.add(plain_path, ".tmp"), plain_path), OK)):
+            return E.add("Encrypted save written, but diagnostic copy failed: ", plain_path)
     return ""
 
 
@@ -143,157 +143,194 @@ func load_data(filename: String, password: String) -> Dictionary:
     flush_saves()
     last_error = ""
     # Plaintext is diagnostic only: never use it as a fallback.
-    var path: String = save_directory.path_join(filename + ".adventure")
-    if not FileAccess.file_exists(path):
+    var path: String = save_directory.path_join(E.add(filename, ".adventure"))
+    if (not FileAccess.file_exists(path)):
         return {}
-    var file := FileAccess.open_encrypted_with_pass(path, FileAccess.READ, password)
-    if file == null:
+    var file = FileAccess.open_encrypted_with_pass(path, FileAccess.READ, password)
+    if E.eq(file, null):
         blocked_saves[filename] = true
-        _fail("Cannot decrypt save: " + path)
+        _fail(E.add("Cannot decrypt save: ", path))
         return {}
     var data: Variant = file.get_var(false)
     file.close()
     # Unsupported formats are archived, never converted or overwritten.
     # Returning no data lets the stage start a new, saveable session.
-    if data is Dictionary and data.get("format_version") != FORMAT_VERSION:
-        var archive: String = path + ".incompatible.bak"
+    if ((data is Dictionary) and E.ne(data.get("format_version"), FORMAT_VERSION)):
+        var archive: String = E.add(path, ".incompatible.bak")
         var index: int = 0
         while FileAccess.file_exists(archive):
-            index += 1
-            archive = path + ".incompatible.bak." + str(index)
+            index = E.add(index, 1)
+            archive = E.add(E.add(path, ".incompatible.bak."), str(index))
         var error: Error = DirAccess.rename_absolute(path, archive)
-        if error != OK:
+        if E.ne(error, OK):
             blocked_saves[filename] = true
-            _fail("Cannot archive incompatible save: " + error_string(error))
+            _fail(E.add("Cannot archive incompatible save: ", error_string(error)))
             return {}
         blocked_saves.erase(filename)
-        push_warning("Incompatible save preserved at " + archive + "; starting a new game.")
+        push_warning(E.add(E.add("Incompatible save preserved at ", archive), "; starting a new game."))
         return {}
     var problem: String = validate_data(data)
-    if problem != "":
+    if E.ne(problem, ""):
         blocked_saves[filename] = true
-        _fail("Invalid save " + path + ": " + problem)
+        _fail(E.add(E.add(E.add("Invalid save ", path), ": "), problem))
         return {}
     blocked_saves.erase(filename)
-    return data
+    return E.decode(data)
 
 
 static func _number(value: Variant, whole: bool = false, nonnegative: bool = true) -> bool:
-    if not (value is int or value is float) or not is_finite(float(value)):
-        return false
-    return (not whole or float(value) == floorf(float(value))) and (not nonnegative or value >= 0)
+    return E.numeric(value) and E.finite(value) and (not value is float or absf(value) < 1e28) and (not whole or E.eq(value, E.floor_value(value))) and (not nonnegative or E.ge(value, 0))
 
 
 static func _number_map(value: Variant, whole: bool = false, nonnegative: bool = true) -> bool:
-    if not value is Dictionary:
+    if (not (value is Dictionary)):
         return false
     for key in value:
-        if not (key is String or key is StringName) or not _number(value[key], whole, nonnegative):
+        if ((not (((key is String) or (key is StringName)))) or (not _number(value[key], whole, nonnegative))):
             return false
     return true
 
 
 static func _plain_tree(value: Variant) -> bool:
-    if value is Dictionary:
+    if (value is Dictionary):
         for key in value:
-            if not (key is String or key is StringName) or not _plain_tree(value[key]):
+            if ((not (((key is String) or (key is StringName)))) or (not _plain_tree(value[key]))):
                 return false
         return true
-    if value is Array:
+    if (value is Array):
         for item in value:
-            if not _plain_tree(item):
+            if (not _plain_tree(item)):
                 return false
         return true
-    return value == null or value is String or value is StringName or value is bool or _number(value, false, false)
+    return ((((E.eq(value, null) or (value is String)) or (value is StringName)) or (value is bool)) or _number(value, false, false))
 
 
 ## Return a diagnostic path on failure; an empty string means the structure is valid.
 func validate_data(data: Variant) -> String:
-    return _validate_payload(data, Global.SPEED_LIMIT, Global.CivilizationRules.keys())
+    return _validate_payload(data, Global.SPEED_LIMIT, Global.CivilizationRules.keys(), Global.OwniverseEntities.keys())
 
 
-static func _validate_payload(data: Variant, speed_limit: int, stages: Array) -> String:
-    if not data is Dictionary or not _plain_tree(data):
+static func _validate_payload(data: Variant, speed_limit: int, stages: Array, entities: Array) -> String:
+    if not E.valid_encoded(data): return "invalid exact number encoding"
+    data = E.decode(data)
+    if ((not (data is Dictionary)) or (not _plain_tree(data))):
         return "save must contain plain finite values"
-    if data.get("format_version") != FORMAT_VERSION or not data.get("app_version") is String:
+    if (E.ne(data.get("format_version"), FORMAT_VERSION) or (not (data.get("app_version") is String))):
         return "unsupported save format"
-    if not data.get("ui") is Dictionary or not data.ui.get("current_page") is int or data.ui.current_page < 0:
+    if (((not (data.get("ui") is Dictionary)) or (not E.numeric(data.ui.get("current_page")))) or E.lt(data.ui.current_page, 0)):
         return "invalid ui.current_page"
-    if not data.get("state") is Dictionary:
+    if (not (data.get("state") is Dictionary)):
         return "state must be a Dictionary"
     var saved: Dictionary = data.state
-    var required := [
-        "version", "time", "speed", "speed_in_year", "energy", "batches", "batch_origins",
-        "binds", "amount", "distribution", "auto_resources", "auto_star_deficits",
-        "production_remainders", "resource_remainders", "evolution_remainders", "life_remainders",
-        "planet_remainders", "blast_remainders", "destruction_remainders", "civilization_remainders",
-        "civilization_stats", "civilization_homes", "ethics", "stats",
-    ]
-    if saved.size() != required.size():
-        return "unsupported state structure"
+    var required = ["version", "time", "speed", "speed_in_year", "energy", "batches", "batch_origins", "binds", "amount", "distribution", "auto_resources", "auto_star_deficits", "production_remainders", "resource_remainders", "evolution_remainders", "life_remainders", "planet_remainders", "blast_remainders", "destruction_remainders", "civilization_remainders", "civilization_stats", "civilization_homes", "ethics", "stats"]
+    # Optional additions to the current format. Saves predating indicators keep
+    # their quantities and receive neutral defaults from Owniverse on load.
+    for field in saved:
+        if (not E.contains(required, field) and not E.contains(["world_parameters", "trends"], field)):
+            return "unsupported state structure"
+    if saved.has("world_parameters"):
+        if ((not _number_map(saved.world_parameters)) or E.ne(saved.world_parameters.size(), WorldParameters.defaults().size())):
+            return "invalid state.world_parameters"
+        for key in WorldParameters.defaults():
+            if ((not saved.world_parameters.has(key)) or E.lt(saved.world_parameters[key], 1)):
+                return E.add("invalid world parameter ", key)
+            if (E.contains(["Bur", "Exp", "Agg"], key) and E.gt(saved.world_parameters[key], 19)):
+                return E.add("invalid world scale ", key)
+    if saved.has("trends"):
+        if ((not _number_map(saved.trends)) or E.ne(saved.trends.size(), WorldParameters.TRENDS.size())):
+            return "invalid state.trends"
+        for key in WorldParameters.TRENDS:
+            if ((not saved.trends.has(key)) or E.ge(saved.trends[key], 1)):
+                return E.add("invalid trend ", key)
     for field in required:
-        if not saved.has(field):
-            return "missing state." + field
-    if saved.version != STATE_VERSION:
+        if (not saved.has(field)):
+            return E.add("missing state.", field)
+    if E.ne(saved.version, STATE_VERSION):
         return "unsupported state.version"
-    if not saved.time is Dictionary or not _number(saved.time.get("datetime")) or not _number(saved.time.get("year")):
+    if (((not (saved.time is Dictionary)) or (not _number(saved.time.get("datetime")))) or (not _number(saved.time.get("year")))):
         return "invalid state.time"
-    if not is_finite(float(saved.time.datetime) * 10.0) or saved.time.year != SimulationTime.processed_year(saved.time.datetime):
+    if E.ne(saved.time.year, SimulationTime.processed_year(saved.time.datetime)):
         return "invalid processed time"
-    if not _number(saved.speed, true) or saved.speed < 1 or saved.speed > speed_limit:
+    if saved.time.has("tick_remainder"):
+        if not E.finite(saved.time.tick_remainder) or E.ge(E.absolute(saved.time.tick_remainder), 1):
+            return "invalid fractional tick"
+    if (((not _number(saved.speed, true)) or E.lt(saved.speed, 1)) or E.gt(saved.speed, speed_limit)):
         return "invalid state.speed"
-    if not _number(saved.speed_in_year) or saved.speed_in_year != pow(10.0, saved.speed - 1):
+    if ((not _number(saved.speed_in_year)) or E.ne(saved.speed_in_year, E.power(10, E.subtract(saved.speed, 1)))):
         return "invalid state.speed_in_year"
-    if not _number(saved.energy, true) or not _number_map(saved.amount, true):
+    if data.has("simulation"):
+        var checkpoint: Variant = data.simulation
+        if not checkpoint is Dictionary or not checkpoint.get("productions") is Array:
+            return "invalid simulation checkpoint"
+        if not _number(checkpoint.get("speed"), true) or E.lt(checkpoint.speed, 1) or E.gt(checkpoint.speed, speed_limit):
+            return "invalid simulation speed"
+        for name in ["requested_clock", "active_clock"]:
+            var clock: Variant = checkpoint.get(name)
+            if not clock is Dictionary: return "invalid simulation clock"
+            if clock.is_empty(): continue
+            if not _number(clock.get("datetime")) or not _number(clock.get("year")):
+                return "invalid simulation clock"
+            if E.lt(clock.datetime, saved.time.datetime) or E.ne(clock.year, SimulationTime.processed_year(clock.datetime)):
+                return "invalid simulation clock"
+            if not E.finite(clock.get("tick_remainder", 0)) or E.ge(E.absolute(clock.get("tick_remainder", 0)), 1):
+                return "invalid simulation tick"
+        if not checkpoint.active_clock.is_empty():
+            if checkpoint.requested_clock.is_empty() or E.gt(checkpoint.active_clock.datetime, checkpoint.requested_clock.datetime):
+                return "invalid simulation clock order"
+        for command in checkpoint.productions:
+            if not command is Dictionary or not entities.has(command.get("id")) or not command.get("resource") is bool or not _number(command.get("amount")):
+                return "invalid queued production"
+            if command.resource and command.id not in ["S", "H"]: return "invalid queued resource production"
+    if ((not _number(saved.energy, true)) or (not _number_map(saved.amount, true))):
         return "invalid state resources"
-    if not saved.stats is Dictionary or not _number_map(saved.stats.get("total_amount"), true):
+    if ((not (saved.stats is Dictionary)) or (not _number_map(saved.stats.get("total_amount"), true))):
         return "invalid state.stats.total_amount"
-    if saved.amount.keys() != saved.stats.total_amount.keys():
+    if E.ne(saved.amount.keys(), saved.stats.total_amount.keys()):
         return "amount and total_amount keys differ"
-    if not saved.binds is Dictionary or not saved.batches is Dictionary:
+    if ((not (saved.binds is Dictionary)) or (not (saved.batches is Dictionary))):
         return "state.binds and state.batches must be Dictionaries"
     for owner_id in saved.binds:
-        if not saved.amount.has(owner_id) or not _number_map(saved.binds[owner_id], true):
-            return "invalid state.binds." + owner_id
+        if ((not saved.amount.has(owner_id)) or (not _number_map(saved.binds[owner_id], true))):
+            return E.add("invalid state.binds.", owner_id)
         for id in saved.binds[owner_id]:
-            if not saved.amount.has(id):
-                return "unknown bound resource " + id
+            if (not saved.amount.has(id)):
+                return E.add("unknown bound resource ", id)
     for id in saved.batches:
-        if not saved.amount.has(id) or not saved.batches[id] is Array:
-            return "invalid state.batches." + id
+        if ((not saved.amount.has(id)) or (not (saved.batches[id] is Array))):
+            return E.add("invalid state.batches.", id)
         for batch in saved.batches[id]:
-            if not batch is Dictionary or not _number(batch.get("amount"), true) or not _number(batch.get("start_year")) or not _number(batch.get("end_year")):
-                return "invalid batch in " + id
-            if batch.end_year < batch.start_year:
-                return "reversed batch interval in " + id
-            if batch.has("created_from") != batch.has("created_to"):
-                return "incomplete batch creation interval in " + id
-            if batch.has("created_from") and (not _number(batch.created_from) or not _number(batch.created_to) or batch.created_to <= batch.created_from or batch.start_year < batch.created_from):
-                return "invalid batch creation interval in " + id
-            if batch.has("processed_until") and (not _number(batch.processed_until) or batch.processed_until < batch.start_year or batch.processed_until > batch.end_year):
-                return "invalid batch.processed_until in " + id
-            if batch.has("withdraw_remainder") and (not _number(batch.withdraw_remainder) or batch.withdraw_remainder > batch.amount):
-                return "invalid batch.withdraw_remainder in " + id
+            if ((((not (batch is Dictionary)) or (not _number(batch.get("amount"), true))) or (not _number(batch.get("start_year")))) or (not _number(batch.get("end_year")))):
+                return E.add("invalid batch in ", id)
+            if E.lt(batch.end_year, batch.start_year):
+                return E.add("reversed batch interval in ", id)
+            if E.ne(batch.has("created_from"), batch.has("created_to")):
+                return E.add("incomplete batch creation interval in ", id)
+            if (batch.has("created_from") and (((((not _number(batch.created_from)) or (not _number(batch.created_to))) or E.le(batch.created_to, batch.created_from)) or E.lt(batch.start_year, batch.created_from)))):
+                return E.add("invalid batch creation interval in ", id)
+            if (batch.has("processed_until") and ((((not _number(batch.processed_until)) or E.lt(batch.processed_until, batch.start_year)) or E.gt(batch.processed_until, batch.end_year)))):
+                return E.add("invalid batch.processed_until in ", id)
+            if (batch.has("withdraw_remainder") and (((not _number(batch.withdraw_remainder)) or E.gt(batch.withdraw_remainder, batch.amount)))):
+                return E.add("invalid batch.withdraw_remainder in ", id)
     for field in ["batch_origins", "distribution", "production_remainders", "evolution_remainders", "planet_remainders", "blast_remainders", "destruction_remainders", "life_remainders", "civilization_remainders", "civilization_stats"]:
-        if not _number_map(saved[field], false, false):
-            return "invalid state." + field
-    if not _number_map(saved.auto_resources, true) or not _number_map(saved.auto_star_deficits, false, false):
+        if (not _number_map(saved[field], false, false)):
+            return E.add("invalid state.", field)
+    if ((not _number_map(saved.auto_resources, true)) or (not _number_map(saved.auto_star_deficits, false, false))):
         return "invalid automatic production state"
-    if not saved.resource_remainders is Dictionary or saved.resource_remainders.keys().size() != 2 or not saved.resource_remainders.has("basic") or not saved.resource_remainders.has("automatic"):
+    if ((((not (saved.resource_remainders is Dictionary)) or E.ne(saved.resource_remainders.keys().size(), 2)) or (not saved.resource_remainders.has("basic"))) or (not saved.resource_remainders.has("automatic"))):
         return "invalid state.resource_remainders"
     for channel in ["basic", "automatic"]:
-        if not _number_map(saved.resource_remainders[channel], false, false):
-            return "invalid state.resource_remainders." + channel
-    if not saved.ethics is Dictionary or not saved.civilization_homes is Dictionary:
+        if (not _number_map(saved.resource_remainders[channel], false, false)):
+            return E.add("invalid state.resource_remainders.", channel)
+    if ((not (saved.ethics is Dictionary)) or (not (saved.civilization_homes is Dictionary))):
         return "invalid civilization state"
     for id in saved.ethics:
-        if id not in stages or not _number_map(saved.ethics[id], true):
-            return "invalid state.ethics." + str(id)
+        if (not E.contains(stages, id) or (not _number_map(saved.ethics[id], true))):
+            return E.add("invalid state.ethics.", str(id))
         for ethic in saved.ethics[id]:
-            if ethic not in ["m", "l", "w", "d", "c", "b"]:
-                return "invalid ethic " + str(ethic)
+            if not E.contains(["m", "l", "w", "d", "c", "b"], ethic):
+                return E.add("invalid ethic ", str(ethic))
     for id in saved.civilization_homes:
-        if not _number_map(saved.civilization_homes[id], true):
+        if (not _number_map(saved.civilization_homes[id], true)):
             return "invalid civilization homes"
     return ""
 
@@ -304,7 +341,7 @@ static func _validate_payload(data: Variant, speed_limit: int, stages: Array) ->
 #region Settings
 func save_settings():
     var config = ConfigFile.new()
-    
+
     for item in Global.Settings:
         config.set_value(SETTING_SECTION, item, Global.Settings[item])
     config.save(SAVE_PATH)
@@ -312,7 +349,7 @@ func save_settings():
 func load_settings():
     var config = ConfigFile.new()
     var err = config.load(SAVE_PATH)
-    if err != OK:
+    if E.ne(err, OK):
         return false
     for item in Global.Settings:
         Global.Settings[item] = config.get_value(SETTING_SECTION, item, Global.Settings[item])

data/csv_loader.gd

@@ -0,0 +1,36 @@
+class_name CSVLoader
+
+const SPLITTER = '|'
+
+static func load(csv_text: String) -> Dictionary:
+    var result: Dictionary = {}
+
+    var lines := csv_text.strip_edges().split("\n")
+
+    if lines.size() < 2:
+        return result
+
+    var headers := lines[0].split(SPLITTER)
+
+    for i in range(1, lines.size()):
+        var line := lines[i].strip_edges()
+
+        if line.is_empty():
+            continue
+
+        var values := line.split(SPLITTER)
+
+        if values.size() != headers.size():
+            push_warning(
+                "CSV row %d has %d columns, expected %d"
+                % [i + 1, values.size(), headers.size()]
+            )
+            continue
+
+        var elem: Dictionary = {}
+
+        for j in range(headers.size()):
+            elem[headers[j].strip_edges()] = values[j].strip_edges()
+
+        result[elem[headers[0]]] = elem
+    return result

data/csv_loader.gd.uid

@@ -0,0 +1 @@
+uid://bfe1fyutcw0cx

data/owniverse_entities.txt

@@ -21,14 +21,14 @@ LRG|0||||50||50000000||||S:300||DSN^SGRB%0.1|2|||RG|Star|||||
 HRG|0||||100||10000000||||S:400.||SN^GRB%1|2|||RG|Star|||||
 RSG|0||||300||1000000||||S:500||BSN^LGRB%3|2|||RG|Star|||||
 RHG|0||||1000||100000||||S:600||HN^HGRB%10|2|||RG|Star|||||
-DSN|0||||||1|||2|S:59.1||SNS:1&H:6.5&He:13.5&Met:11&blast:2|2|mass:15&H:6.5&HE:13.5&MET:11||||SNGRBB||||
-SN|0||||||1|||9|S:99.1||LNS:1&H:8&He:50&Met:11&blast:9|2|mass:18&H:8&HE:50&MET:11||||SNGRBB||||
-BSN|0||||||1||.|305|S:309.1||MGT:1&H:15&He:186&Met:15&blast:305|2|mass:21&H:15&HE:186&MET:15||||SNGRBB||||
-HN|0||||||1|||9990|S:939.1||BH40:1&H:30&He:560&Met:30&blast:9990|2|mass:40&H:30&HE:560&MET:30||||SNGRBB||||
-SGRB|0||||||1||0.001|31|S:149.1||BH25:1&H:0.5&He:10&Met:4&blast:31|2|mass:25&H:0.5&HE:10&MET:4||||SNGRBB||||
-GRB|0||||||1||0.01|136|S:239.1||BH30:1&H:19&He:12&Met:5&blast:136|2|mass:30&H:19&HE:12&MET:5||||SNGRBB||||
-LGRB|0||||||1||0.03|3446|S:669.1||BH40:1&H:68&He:18&Met:9&blast:3446|2|mass:40&H:68&HE:18&MET:9||||SNGRBB||||
-HGRB|0||||||1||0.1|97342|S:1939.1||BH60:1&H:0&He:40&Met:10&blast:97342|2|mass:60&H:0&HE:40&MET:10||||SNGRBB||||
+DSN|0||||||1|||2|S:59.1||SNS:1&H:6.5&He:13.5&Met:11|2|mass:15&H:6.5&HE:13.5&MET:11||||SNGRBB||||
+SN|0||||||1|||9|S:99.1||LNS:1&H:8&He:50&Met:11|2|mass:18&H:8&HE:50&MET:11||||SNGRBB||||
+BSN|0||||||1||.|305|S:309.1||MGT:1&H:15&He:186&Met:15|2|mass:21&H:15&HE:186&MET:15||||SNGRBB||||
+HN|0||||||1|||9990|S:939.1||BH40:1&H:30&He:560&Met:30|2|mass:40&H:30&HE:560&MET:30||||SNGRBB||||
+SGRB|0||||||1||0.001|31|S:149.1||BH25:1&H:0.5&He:10&Met:4|2|mass:25&H:0.5&HE:10&MET:4||||SNGRBB||||
+GRB|0||||||1||0.01|136|S:239.1||BH30:1&H:19&He:12&Met:5|2|mass:30&H:19&HE:12&MET:5||||SNGRBB||||
+LGRB|0||||||1||0.03|3446|S:669.1||BH40:1&H:68&He:18&Met:9|2|mass:40&H:68&HE:18&MET:9||||SNGRBB||||
+HGRB|0||||||1||0.1|97342|S:1939.1||BH60:1&H:0&He:40&Met:10|2|mass:60&H:0&HE:40&MET:10||||SNGRBB||||
 CBD|0||||0.1||||||||||||BD||||||
 WD|1|WD:1|||||||||||||||||||||
 TWD|0||||0.8||||||||||||WD|Star|Degen||||

data/owniverse_template.gd.uid

@@ -0,0 +1 @@
+uid://cunl2sqmcj1ff

data/templates.en.txt.import

@@ -1,3 +0,0 @@
-[remap]
-
-importer="keep"

data/templates.ru.txt.import

@@ -1,3 +0,0 @@
-[remap]
-
-importer="skip"

default_bus_layout.tres

@@ -0,0 +1,15 @@
+[gd_resource type="AudioBusLayout" format=3 uid="uid://b5g7p85k5do0m"]
+
+[resource]
+bus/1/name = &"Music"
+bus/1/solo = false
+bus/1/mute = false
+bus/1/bypass_fx = false
+bus/1/volume_db = 0.0
+bus/1/send = &"Master"
+bus/2/name = &"FX"
+bus/2/solo = false
+bus/2/mute = false
+bus/2/bypass_fx = false
+bus/2/volume_db = 0.0
+bus/2/send = &"Master"

simulation_rules.md

@@ -1,5 +1,12 @@
 # Эволюция звёзд Owniverse.GI
 
+Числа симуляции хранят целую часть в двух блоках int64, дробный остаток — в
+float. Весь порядок E27 сохраняет целые единицы. Возраст разделён на целые
+годы и дробную часть с шагом 10^-9 года; большие промежуточные произведения
+распределений вычисляются через `mul_div`. Границы точности, допуск переноса
+дробей и несовместимый со старым формат сохранения 4 описаны в
+[документации математики](world/owniverse/math/README.md).
+
 Механики перенесены из Owniverse.U с согласованными изменениями GI: постепенные партии, детерминированные дробные остатки, уязвимость цивилизаций до C1.2 и передача выживших планет преемнику. Баланс таблицы GI сохраняется.
 
 ## Порядок расчёта
@@ -27,6 +34,18 @@
 
 ## Постепенные партии
 
+### Короткоживущие звёздные события внутри длинного шага
+
+Для SN, DSN, BSN, HN и GRB-событий полностью завершившиеся окна рождения не создают отдельные словари партий. Их целые количества суммируются в очередь завершений текущего расчёта; обычные партии сохраняются только для окон, срок которых ещё не закончился. Состояние этой очереди не записывается в сохранение: она полностью обрабатывается до публикации нового состояния.
+
+Окно завершено, если `window_end + lifespan ≤ to_year`. Его доля количества рассчитывается прежним методом разности накопленных целых значений. Для производства пространства интеграл исчезновения вычитается по окнам в прежнем порядке, чтобы сохранить округление. Здесь остаётся лёгкий арифметический проход по окнам, но отсутствуют создание, копирование, сортировка и последующая обработка тысяч временных словарей.
+
+Ресурсы, остатки звёзд и бласты от завершившейся части применяются на следующем поколении расчёта, как раньше. Поэтому сохраняются порядок передачи привязок, среда бластов и ограничения цивилизаций. Ускорение допускается только для событий группы `SNGRBB` с линейным выходом и без преемников с ненулевым сроком жизни. При изменении таблиц остальные случаи автоматически используют обычный путь. Сроки жизни и ширина окон не увеличиваются, формат сохранения не меняется.
+
+На сохранении возраста 140,55 млн лет, при шестой скорости и шаге 1/60 секунды: максимальное временное число партий SN/GRB уменьшилось с 1668 до 2; средний расчёт кадра без отрисовки — примерно с 15 до 10 мс. За 120 шагов результаты старого и нового путей совпали по всем полям состояния. Эти значения характеризуют конкретное сохранение, а не гарантированную частоту кадров на всех устройствах.
+
+### Общие окна рождения и эволюции
+
 Окно рождения шириной `w = lifespan / 40` при `lifespan > 10`, иначе `w = lifespan`. Окно превращения сдвинуто на `lifespan`. При частичном списании:
 
 ```
@@ -60,7 +79,7 @@ GI не хранит накопленные счётчики первичной
 - `density = 1.23456e-7 * sqrt(B + M) / max(1, V)^(1/6)`.
 - `blast_factor = clamp(free_S / V, 0, 1)`; при нулевом объёме `1`.
 
-Система сил Unity и планетные бонусы в GI пока не перенесены; здесь используются нейтральные множители 1. Металличность для производства фиксируется до расходования ресурсов на звёзды. Среда бласта фиксируется для поколения до добавления его продуктов.
+Планетные бонусы сил пока не перенесены. Параметры мира Bur/Exp/Agg имеют собственные сохраняемые шкалы и эффективные множители (см. раздел индикаторов ниже). Металличность для производства фиксируется до расходования ресурсов на звёзды. Среда бласта фиксируется для поколения до добавления его продуктов.
 
 ## Разрушение и бласты
 
@@ -72,7 +91,7 @@ GI не хранит накопленные счётчики первичной
 
 Уровень 1 превращает только `blastability=1` в RP (HP, EON, цивилизации до C1.2). C1.3 и выше защищены от этого уровня. Уровень 2 уничтожает все планеты, включая защищённые цивилизации, без создания RP. Уничтоженные объекты удаляются из жизненных партий, чтобы не возникать заново.
 
-`blast` в выходе — событие, а не предмет. Поле `blast` сущности повторно не суммируется с выходом `blast:N`.
+Единственный источник мощности — поле `blast` сущности: `power = expired_count × max(0, entity.blast)`. При `blast = 0` внешнего воздействия нет. Старые вхождения `blast:N` в `output` игнорируются, включая альтернативные выходы; двойного суммирования нет. Внутренний выход `blast` остаётся событием, а не предметом. `destroy_level` независимо задаёт уровень локального разрушения у умирающего объекта; внешние бласты всегда действуют на уровне 1.
 
 ## Границы этапа
 
@@ -90,7 +109,7 @@ GI не хранит накопленные счётчики первичной
 
 Прогресс и деградация округляются вниз с сохранением остатков. Если оба накопленных исхода конкурируют за последнюю планету, распределяются только существующие объекты, а неиспользованный остаток переносится на следующую попытку. Деградация распределяется по весам `fall`; знаковые ошибки распределения также сохраняются.
 
-Для всех шести стадий базовые доли за попытку — `progress=0.00025`, `degradation=0.0025`. Интервалы HP/EON1/EON2/EON3/EON4/EON5: 5 млн, 10 млн, 10 млн, 1 млн, 1 млн, 500 тыс. лет. Используются постепенные окна GI шириной `span / 40`. Случайные множители Unity не применяются; агрессия, порядок и просвещение пока имеют нейтральное влияние.
+Для всех шести стадий базовые доли за попытку — `progress=0.00025`, `degradation=0.0025`. Интервалы HP/EON1/EON2/EON3/EON4/EON5: 5 млн, 10 млн, 10 млн, 1 млн, 1 млн, 500 тыс. лет. Используются постепенные окна GI шириной `span / 40`. Случайные множители Unity не применяются. Агрессия, порядок и просвещение изменяют вероятности по формулам из раздела индикаторов ниже.
 
 HP деградирует в RP. У эонов возможен откат к предыдущим стадиям по таблице. RP не развивается сам. C0.0 и C0.1 также развиваются: период 2000 лет, прогресс 0.0175, деградация 0.025. Переходы C0.0 → C0.1 → C0.2, откат C0.0 → EON5 и C0.1 → C0.0. Развитие C0.2 и выше подключено через этические правила. Конфликт civ_bonus устранён повторным импортом: бонусы структур совпадают с Unity. Для существующих этических цивилизаций пользователь выбрал равномерное распределение между шестью этиками с детерминированным целым остатком.
 
@@ -132,4 +151,58 @@ HP деградирует в RP. У эонов возможен откат к п
 
 Размещение выбирает структуры в порядке убывания `civ_bonus`, начиная с соответствующего стадии `claim`. Прямое размещение ограничено числом структур; остальные разрешённые структуры при наличии дают общий бонус, как в Unity. Период новых партий равен `span / средневзвешенный civ_bonus`, для неразмещённой части множитель равен 1. Уже назначенные сроки партий не переписываются при изменении бонуса.
 
-`life_version = 3` добавляет часы существующим C0.2+ с момента загрузки; старые часы HP, эонов и начальных цивилизаций сохраняются. Ct не получает часы. Миграция выполняется однократно. Глобальные силы и их модификаторы не входят в этот перенос: используются нейтральные множители 1.
+Ct не получает часы. Инициализация отсутствующих партий жизни выполняется при загрузке и перед продвижением симуляции. Параметры мира и тенденции описаны ниже; интерфейс применения сил в этот перенос не входит.
+
+## Параметры мира, тенденции и индикаторы
+
+Источник формул — Unity `OwniverseInstance`, `Life`, `LifeActions`, `Trends` и классы индикаторов. Расчёты находятся в `world_parameters.gd`; показ — в `ui/indicators/world_indicators.gd`. Шкалы обновляются каждые 0,1 реальной секунды и сразу при создании/загрузке вселенной. Подписи используют текущую локаль и шаблоны.
+
+### Энергия и плотность
+
+Энергия сохраняет экономику GI: запас расходуется на H/S. Заполнение индикатора — `clamp(energy / 1e14, 0, 1)`. Это не коэффициент производства Unity; дополнительное замедление производства при уменьшении запаса не вводится. В описании выводятся остаток и процент.
+
+Плотность берётся из `stellar_environment`. Положение указателя ограничено диапазоном 0…1:
+
+- `density ≤ 1e-5`: шкала разрыва, `(log10(max(density, 1e-7)) + 7) / 2`;
+- `1e-5 < density < 0.9`: обычная шкала, `ln(density × 1e5) / ln(9e4)`;
+- `density ≥ 0.9`: шкала сжатия, `(density − 0.9) × 10`.
+
+В Unity в первой формуле было `−7`; это ошибка, не позволяющая указателю двигаться. Здесь исправлено на `+7`. Переключение шкалы меняет и заголовок/описание индикатора. Само наступление апокалипсиса индикатор не запускает.
+
+Общая рамка `Background/WarningBorder` получает цвета Unity `WarningUI` в формате RGBA: при плотности ≤1e-5 — `C040407F`, ≤1e-6 — `DF2020BF`, ≤1e-7 — `FF0000FF`; при плотности ≥0,9 — `40A0C07F`, ≥0,97 — `20B0DFBF`, ≥1 — `00C0FFFF`. В нормальном диапазоне рамка прозрачна. Она обновляется вместе с индикаторами, не перехватывает нажатия и снимается при восстановлении плотности. Необратимая последовательность апокалипсиса Unity сюда не входит.
+
+### Горючесть, взрывчатость и агрессия
+
+`world_parameters` хранит Bur, Exp и Agg в диапазоне 1…19, начальное значение — 10. Эффективный множитель `M(x) = 10^((x−10)/9)`: крайние значения 0,1 и 10, нейтральное — 1.
+
+- Bur делит срок жизни новых звёзд на `M(Bur)`. `modify_world_parameter("Bur", delta)` также пересчитывает оставшееся время существующих звёзд с коэффициентом `старый M / новый M`, сохраняя количество и остатки округления. Производство звёзд умножается на `M`, если `M ≤ 1`, иначе на `sqrt(M)`.
+- Exp умножает вероятность альтернативного исхода (с ограничением до 1), мощность `entity.blast` и производство событий группы SNGRBB. Локальный `destroy_level` от него не меняется.
+- Для Agg обозначим `a = M(Agg)`. Вероятность прогресса умножается на `a`, деградации — на `(1 − (1−a)/20) / Order`, войны — на `1 − (1−a)/5`, колонизации — на `1 − (1−a)/2`. Если сумма прогресса и деградации превышает 1, они пропорционально нормируются. Вероятности войны/колонизации ограничены единицей.
+- Для первичной жизни дополнительный множитель прогресса — Enlightenment. Order дополнительно уменьшает потери в войнах и побочный ущерб. Начальные Enlightenment и Order равны 1.
+
+Изменять шкалы следует через `owniverse.modify_world_parameter(key, delta)`, чтобы горючесть корректно обновляла партии. Готовых кнопок применения сил этот метод не добавляет.
+
+### Тенденции
+
+Пять направлений: Antitheism, Integration, Xenocide, Reconstruction, Spirituality. Участвуют космические стадии с непустым `home`; вес первой — 1, каждой следующей — вдвое больше. Для каждой тенденции:
+
+`rate = Σ_стадий (вес стадии × Σ_этик(доля этики × вес этики))`
+
+`прирост = rate × прошедшие игровые годы × 1e-9`.
+
+Доли берутся на начало интервала, после проверки вместимости. Умножение на время исправляет ошибку Unity, где аргумент period не использовался. Накопление само по себе не зависит от FPS; изменение состава цивилизаций внутри крупных шагов остаётся дискретным, как остальная симуляция.
+
+Веса этик в порядке пяти направлений:
+
+| Этика | Антитеизм | Интеграция | Ксеноцид | Реконструкция | Духовность |
+|---|---:|---:|---:|---:|---:|
+| m | 0 | 2 | 2 | 0 | 6 |
+| l | 6 | 1 | 1 | 2 | 0 |
+| w | 2 | 0 | 6 | 0 | 2 |
+| d | 0 | 6 | 0 | 1 | 3 |
+| c | 1 | 3 | 3 | 3 | 0 |
+| b | 3 | 0 | 0 | 6 | 1 |
+
+При достижении 1 учитываются все целые срабатывания, дробный остаток сохраняется. Только Integration имеет последствия в исходной Unity: равновероятно выбирается Federation (+0,1 и Agg −1), Enlightenment (+0,2 и Agg −1) или Order (+0,1). Генератор сохраняет своё состояние. До 256 событий за шаг выбор выполняется по одному; для больших количеств используется нормальная аппроксимация мультиномиального распределения с сохранением точного суммарного числа событий, чтобы высокие скорости не блокировали кадр. Она может менять последовательность исходов при другом разбиении больших интервалов.
+
+Federation сохраняется и увеличивается как в Unity, но в исходном коде не применяется к дипломатии. Дополнительное правило для него не придумано. Остальные четыре тенденции имеют счётчики срабатываний и сброс, но не последствия — так же, как в исходной реализации. Параметры и остатки тенденций сохраняются; у существующего сохранения текущего формата без этих полей используются нейтральные значения и нулевые тенденции, без изменения ресурсов или возраста.

stage/stage.gd

@@ -1,10 +1,14 @@
 extends Control
+const E = preload("res://world/owniverse/math/exact.gd")
 
 const OWNIVERSE_ITEM = preload("uid://d3xjfxwe3w16v")
 
 const SPEED_TEXTURE_NAME_TEMPLATE = "res://ui/topmenu/time&speed/time%s.png"
 
 const ItemDescription = preload("res://world/owniverse/item_description.gd")
+const WorldIndicators = preload("res://ui/indicators/world_indicators.gd")
+var world_indicators: RefCounted
+var indicator_elapsed: float = 0.0
 var description_targets: Dictionary = {}
 var description_samples: Dictionary = {}
 var description_rates: Dictionary = {}
@@ -16,51 +20,59 @@ const PAGE_WIDTH = 1080
 const DRAG_TOLERANCE = 360
 const SWIPE_DURATION: float = 0.4
 
-@onready var stage_page_scroller: ScrollContainer = $StageRows/PageScroller
+@onready var stage_page_scroller: ScrollContainer = $World/PageScroller
 
 @onready var item_pages: Array[Control] = [
-    $StageRows/PageScroller/HBoxContainer/ForcePage/Forces,
-    $StageRows/PageScroller/HBoxContainer/ResourcePage/HBoxContainer/Resources,
-    $StageRows/PageScroller/HBoxContainer/StarPage/Stars,
-    $StageRows/PageScroller/HBoxContainer/StructurePage/Structures,
-    $StageRows/PageScroller/HBoxContainer/LifePage/Planets/Life,
-    $StageRows/PageScroller/HBoxContainer/LifePage/Planets/LivingPlanet,
-    $StageRows/PageScroller/HBoxContainer/LifePage/Planets/Civ0,
-    $StageRows/PageScroller/HBoxContainer/LifePage/Planets/Civ1,
-    $StageRows/PageScroller/HBoxContainer/LifePage/Planets/Civ2,
-    $StageRows/PageScroller/HBoxContainer/LifePage/Planets/Civ3,
-    $StageRows/PageScroller/HBoxContainer/LifePage/Planets/Civ4
+    $World/PageScroller/HBoxContainer/ForcePage/Forces,
+    $World/PageScroller/HBoxContainer/ResourcePage/HBoxContainer/Resources,
+    $World/PageScroller/HBoxContainer/StarPage/Stars,
+    $World/PageScroller/HBoxContainer/StructurePage/Structures,
+    $World/PageScroller/HBoxContainer/LifePage/Planets/Life,
+    $World/PageScroller/HBoxContainer/LifePage/Planets/LivingPlanet,
+    $World/PageScroller/HBoxContainer/LifePage/Planets/Civ0,
+    $World/PageScroller/HBoxContainer/LifePage/Planets/Civ1,
+    $World/PageScroller/HBoxContainer/LifePage/Planets/Civ2,
+    $World/PageScroller/HBoxContainer/LifePage/Planets/Civ3,
+    $World/PageScroller/HBoxContainer/LifePage/Planets/Civ4
 ]
 
 @onready var page_actions: Dictionary[int, OwniverseAction] = {
-    2: $StageRows/PageScroller/HBoxContainer/StarPage/Actions,
-    3: $StageRows/PageScroller/HBoxContainer/StructurePage/Actions,
+    2: $World/PageScroller/HBoxContainer/StarPage/Actions,
+    3: $World/PageScroller/HBoxContainer/StructurePage/Actions,
 }
 
 @onready var g_item_descriptions: Array = [
-    $StageRows/PageScroller/HBoxContainer/ForcePage/Description,
-    $StageRows/PageScroller/HBoxContainer/ResourcePage/Description,
-    $StageRows/PageScroller/HBoxContainer/StarPage/Description,
-    $StageRows/PageScroller/HBoxContainer/StructurePage/Description,
-    $StageRows/PageScroller/HBoxContainer/LifePage/Description
+    $World/PageScroller/HBoxContainer/ForcePage/Description,
+    $World/PageScroller/HBoxContainer/ResourcePage/Description,
+    $World/PageScroller/HBoxContainer/StarPage/Description,
+    $World/PageScroller/HBoxContainer/StructurePage/Description,
+    $World/PageScroller/HBoxContainer/LifePage/Description
 ]
 
-@onready var date_time: Label = $StageRows/TopMenu/InfoPanel/DateTime
+@onready var date_time: Label = $World/TopMenu/InfoPanel/DateTime
 
 @onready var g_speed_icons: Array = [
-    $StageRows/TopMenu/InfoPanel/Speed/Speed1,
-    $StageRows/TopMenu/InfoPanel/Speed/Speed2,
-    $StageRows/TopMenu/InfoPanel/Speed/Speed3,
-    $StageRows/TopMenu/InfoPanel/Speed/Speed4,
-    $StageRows/TopMenu/InfoPanel/Speed/Speed5,
-    $StageRows/TopMenu/InfoPanel/Speed/Speed6,
-    $StageRows/TopMenu/InfoPanel/Speed/Speed7,
-    $StageRows/TopMenu/InfoPanel/Speed/Speed8
+    $World/TopMenu/InfoPanel/Speed/Speed1,
+    $World/TopMenu/InfoPanel/Speed/Speed2,
+    $World/TopMenu/InfoPanel/Speed/Speed3,
+    $World/TopMenu/InfoPanel/Speed/Speed4,
+    $World/TopMenu/InfoPanel/Speed/Speed5,
+    $World/TopMenu/InfoPanel/Speed/Speed6,
+    $World/TopMenu/InfoPanel/Speed/Speed7,
+    $World/TopMenu/InfoPanel/Speed/Speed8
 ]
 
-@onready var g_time_minus: TextureButton = $StageRows/TopMenu/TimeMinus
-@onready var g_time_plus: TextureButton = $StageRows/TopMenu/TimePlus
+@onready var g_time_minus: TextureButton = $World/TopMenu/TimeMinus
+@onready var g_time_plus: TextureButton = $World/TopMenu/TimePlus
 
+@onready var screens: Dictionary = {
+    "World": $World,
+    "MainMenu": $MainMenu,
+    "Report": $Report,
+    "Achievements": $Achievements,
+    "Credits": $Credits,
+
+}
 
 var g_tween: Tween = null
 var g_dragged_start: Vector2 = Vector2.ZERO
@@ -79,60 +91,46 @@ var g_counters: Dictionary[String, Counter] = {
 var g_active_items: Dictionary = {}
 
 var pending_page: int = -1
+var active_actions_dirty: bool = true
+var active_actions_elapsed: float = 0.0
 
 var owniverse:Owniverse = Owniverse.new()
 var owniverse_items: Dictionary[String, OwniverseItem] = {}
 var locked_items: Array = []
 
 
-func set_datetime(value: float):
+func set_datetime(value):
     # Simulation time advances in tenths of a year; displaying five decimal
     # places only adds zeroes and suggests precision the simulation does not
     # have.
-    date_time.text = Global.format_number(value, 1) if value != 0.0 else "0.0"
+    date_time.text = Global.format_number(value, 1) if not E.eq(value, 0) else "0.0"
 
 #region Item manipulations: update and visibility
 
 
 func set_owniverse_item_value() -> void:
-    for item_id in owniverse.items_to_update:
+    for item_id in owniverse.presentation.pending_amounts:
         if owniverse_items.has(item_id):
-            owniverse_items[item_id].set_label(owniverse.items_to_update[item_id])
-    owniverse.items_to_update.clear()
-        
+            owniverse_items[item_id].set_label(owniverse.presentation.pending_amounts[item_id])
+    owniverse.presentation.pending_amounts.clear()
+
 
 #endregion
 
 
 func _unlock_items():
-    if locked_items.size() == 0: return
-    var _new_locked_items = []
-    var display_totals: Dictionary = owniverse.get_item_amounts(true)
-    for _item_id in locked_items:
-        #print(_item_id ' | ', _entity.unlock)
-        var _flag_to_unlock = true
-        for _elem in owniverse.entities[_item_id].unlock:
-            if maxf(owniverse.state.stats.total_amount.get(_elem, 0.0), display_totals.get(_elem, 0.0)) < owniverse.entities[_item_id].unlock[_elem]:
-                _flag_to_unlock = false
-                break
-
-        if _flag_to_unlock:
-            var item_id: String = owniverse.entities[_item_id].count_as
-            if item_id == "":
-                item_id = _item_id
-            if owniverse_items.has(item_id):
-                owniverse_items[item_id].set_visible(true)
-        else:
-            _new_locked_items.append(_item_id)
-    locked_items = _new_locked_items
-
+    var result: Dictionary = owniverse.presentation.unlocks(owniverse.state, owniverse.catalog, locked_items)
+    for item_id in result.visible:
+        if owniverse_items.has(item_id):
+            owniverse_items[item_id].set_visible(true)
+    locked_items = result.remaining
 
 func _on_indicator_pressed(indicator_name: String, page: int = 0):
     _set_description(indicator_name, page)
 
 
 func _set_item_description(item: OwniverseItem) -> void:
-    var category: String = "Entity" if owniverse.entities.has(item.item_id) else "Force"
+    var category: String = "Entity" if owniverse.catalog.entities.has(item.item_id) else "Force"
     var id: String = item.item_id if category == "Entity" else item.item_name.capitalize()
     var page: int = clampi(item.item_page, 0, 4)
     if description_targets.get(page, {}).get("id", "") != id:
@@ -161,8 +159,8 @@ func _update_descriptions(delta: float) -> void:
         return
     for page in description_targets:
         var id: String = description_targets[page].id
-        var total: float = ItemDescription.quantities(owniverse, id).total
-        description_rates[id] = (total - description_samples[id]) / description_elapsed if description_samples.has(id) else 0.0
+        var total = ItemDescription.quantities(owniverse, id).total
+        description_rates[id] = E.divide(E.subtract(total, description_samples[id]), E.of(description_elapsed)) if description_samples.has(id) else 0.0
         description_samples[id] = total
     description_elapsed = 0.0
     _refresh_descriptions()
@@ -172,13 +170,14 @@ func _control_page(item: OwniverseItem) -> void:
     # TODO переписать это ↓
     if !g_active_items.has(item.item_page):
         g_active_items[item.item_page] = null
-        
+
     var current_item: OwniverseItem = g_active_items[item.item_page]
     if current_item == item:
         return
-    
+
     g_active_items[item.item_page] = item
-    
+    active_actions_dirty = true
+
     if current_item != null and current_item.item_page == item.item_page:
         current_item.set_selection(false)
 
@@ -207,19 +206,21 @@ func _init_owniverse_items() -> bool:
         item_pages[page].add_child(item)
         item.init_button(item_props)
         item.item_activated.connect(item_activated)
-        
+
         owniverse_items[item_id] = item
-        
+
     return false
 
 
 func item_activated(item: OwniverseItem) -> void:
     _control_page(item)
     _set_item_description(item)
-    
+
     if item.item_id == "S" or item.item_id == "H":
-        var _value = owniverse.produce_hs(item.item_id, 100_000)
-    
+        var _value = owniverse.state.amount[item.item_id]
+        _value = E.multiply(9, _value) if E.gt(_value, 0) else 1
+        owniverse.request_production(item.item_id, _value, true)
+
 
 func _check_counters(delta: float) -> Array:
     var actions: Array = []
@@ -227,13 +228,13 @@ func _check_counters(delta: float) -> Array:
         var cnt: Counter = g_counters[k]
         if not cnt.is_active:
             continue
-            
+
         cnt.value += delta
         if cnt.value >= cnt.sec:
             actions.append(k)
             cnt.value = 0
             cnt.is_active = false
-        
+
     return actions
 
 
@@ -248,7 +249,7 @@ func _do_actions(actions: Array) -> void:
 
 func _swipe_to_nearest_page() -> void:
     if stage_page_scroller.scroll_horizontal % PAGE_WIDTH == 0: return
-    
+
     var new_page: int = round(1.0 * stage_page_scroller.scroll_horizontal / PAGE_WIDTH)
 
     if g_tween != null:
@@ -273,79 +274,130 @@ func _input(event: InputEvent) -> void:
     elif event is InputEventScreenTouch:
         pass
 
-    
+
 func _set_active_page_actions() -> void:
     for pa in page_actions:
         if !g_active_items.has(pa): continue
-        
+
         var item_id: String = g_active_items[pa].item_id
-        var entity: OwniverseEntity = owniverse.entities[item_id]
+        var entity: OwniverseEntity = owniverse.catalog.entities[item_id]
 
         #var amount = owniverse.get_available_to_produce(item_id)
-        
+
         #var amount = owniverse.get_available_to_produce(entity)
-        var amount = owniverse.calculate_max_producible(entity)
+        var amount = owniverse.production.calculate_max_producible(entity)
         #print(item_id, " : ", amount)
         if item_id == "SMBH":
-            var preview: Callable = func(requested: float) -> float:
-                return owniverse.calculate_max_producible(entity, requested)
+            var preview: Callable = func(requested):
+                return owniverse.production.calculate_max_producible(entity, requested)
             page_actions[pa].set_actions(item_id, amount, preview)
         else:
             page_actions[pa].set_actions(item_id, amount)
 
 
-func _page_action_pressed(page_id: int, action_amount: float) -> void:
+func _page_action_pressed(page_id: int, action_amount) -> void:
     if !g_active_items.has(page_id):
         return
-        
+
     var item_id: String = g_active_items[page_id].item_id
-    
-    if action_amount > 0:
-        owniverse.produce(item_id, action_amount)
+
+    if E.gt(action_amount, 0):
+        owniverse.request_production(item_id, action_amount)
 
 
 #endregion
 
 
 func _ready() -> void:
-    var inited_result = init_enitities()
-    locked_items = inited_result.locked_items
+    get_tree().auto_accept_quit = false
+    world_indicators = WorldIndicators.new(self)
+    create_new_universe()
     load_data()
-    _init_owniverse_items()
-    owniverse.refresh_item_amounts()
-    _change_speed(0)
-    set_datetime(owniverse.state.time.year)
-    set_owniverse_item_value()
-    _unlock_items()
-    
+    _refresh_universe_ui()
+
     g_counters.swipe.sec = 0.2
 
     for pa in page_actions:
         page_actions[pa].action_pressed.connect(_page_action_pressed)
         page_actions[pa].page_id = pa
 
-    
+
+## Starts a fresh universe. Can be connected directly to a button's pressed signal.
+## Saving continues through the normal autosave/close path.
+func create_new_universe() -> void:
+    var previous: Owniverse = owniverse
+    owniverse = Owniverse.new()
+    var inited_result: Dictionary = init_enitities()
+    locked_items = inited_result.locked_items
+
+    for entity in previous.catalog.entities.values():
+        entity.free()
+    previous.free()
+
+    if is_instance_valid(g_tween):
+        g_tween.kill()
+    g_active_items.clear()
+    description_targets.clear()
+    description_samples.clear()
+    description_rates.clear()
+    description_elapsed = 0.0
+    active_actions_dirty = true
+    active_actions_elapsed = 0.0
+    for label in g_item_descriptions:
+        label.text = ""
+    for item in owniverse_items.values():
+        item.get_parent().remove_child(item)
+        item.queue_free()
+    _init_owniverse_items()
+    for page in range(5, item_pages.size()):
+        item_pages[page].visible = false
+    for actions in page_actions.values():
+        actions.set_actions("", 0.0)
+    pending_page = RESOURCE_PAGE
+    _restore_page.call_deferred()
+    _refresh_universe_ui()
+    _on_topmenu_button_pressed("World")
+
+
+func _refresh_universe_ui() -> void:
+    owniverse.presentation.refresh(owniverse.state, owniverse.catalog)
+    _change_speed(0)
+    set_datetime(owniverse.state.time.year)
+    set_owniverse_item_value()
+    _unlock_items()
+    if world_indicators != null: world_indicators.update(owniverse)
+
 func _process(delta: float) -> void:
-    
-    owniverse.evolute(delta)
+
+    owniverse.evolute_frame(delta, get_tree())
+    indicator_elapsed += delta
+    if indicator_elapsed >= 0.1:
+        indicator_elapsed = 0.0
+        world_indicators.update(owniverse)
     _update_descriptions(delta)
     set_owniverse_item_value()
     set_datetime(owniverse.state.time.year)
-    
+
     #owniverse.cycle(delta)
-    
+
     #owniverse.cycle_legacy(year_delta)
-    
+
     var actions = _check_counters(delta)
     _do_actions(actions)
-    
-    _set_active_page_actions()
+    # Production limits are expensive (they walk the resource ledger). Refresh
+    # them when selection changes and at a modest cadence instead of every
+    # rendered frame. The simulation itself continues to run every frame.
+    active_actions_elapsed += delta
+    if active_actions_dirty or active_actions_elapsed >= 0.1:
+        active_actions_elapsed = 0.0
+        active_actions_dirty = false
+        _set_active_page_actions()
 
 
 func _change_speed(delta: int) -> void:
-    
+
     owniverse.speed = owniverse.speed + delta
-    
+
     var speed: int = owniverse.speed
     var ind: int = 1
     for icon in g_speed_icons:
@@ -363,25 +415,13 @@ func _change_speed(delta: int) -> void:
     else:
         g_time_minus.texture_normal = load(SPEED_TEXTURE_NAME_TEMPLATE % str(speed - 1))
         g_time_plus.texture_normal = load(SPEED_TEXTURE_NAME_TEMPLATE % str(speed + 1))
- 
-   
-func _on_topmenu_button_pressed(_ButtonName) -> void:
-    print("Debug → ")
-    #, owniverse.state)
-    for id in owniverse.state.batches:
-        var s = owniverse.state.batches[id].size()
-        if s != 0:
-            print(id, " → ", s)
-            #, owniverse.state.batches[id])
-            if id == 'HG':
-                print(owniverse.state.batches[id])
-    
-    #var s: float = 1E15
-    #var z = 1.0
-    #for i in range(30):
-        #print(i, " | ", z, " | ", " | ", s - z)
-        #z *= 10
-    print("-------")
+
+
+func _on_topmenu_button_pressed(screen_name: String) -> void:
+
+    for screen_id in screens:
+        #print(screen_name, " ←→ ", screen_id)
+        screens[screen_id].visible = screen_id == screen_name
 
 
 func _on_unlock_and_save_timeout() -> void:
@@ -409,9 +449,10 @@ func load_data() -> bool:
     var complete: Dictionary = owniverse.state.duplicate(true)
     complete.merge(restored, true)
     owniverse.state = complete
-    owniverse.new_state = complete
-    owniverse.initialize_life_batches()
-    owniverse.refresh_item_amounts()
+    owniverse.restore_frame_checkpoint(game_data.get("simulation", {}))
+
+    owniverse.evolution.initialize_life_batches()
+    owniverse.presentation.refresh(owniverse.state, owniverse.catalog)
     pending_page = clampi(int(game_data.get("ui", {}).get("current_page", 0)), 0, PAGE_COUNT - 1)
     _restore_page.call_deferred()
     return true
@@ -429,53 +470,65 @@ func save_data() -> void:
     var page: int = pending_page
     if page < 0:
         page = clampi(roundi(float(stage_page_scroller.scroll_horizontal) / PAGE_WIDTH), 0, PAGE_COUNT - 1)
-    SaveManager.save_data("owniverse", "qwerty", {
+    SaveManager.request_save("owniverse", "qwerty", {
         "state": owniverse.state,
+        "simulation": owniverse.frame_checkpoint(),
         "ui": {"current_page": page},
     })
 
 
+var closing: bool = false
+
+
 func _notification(what: int) -> void:
-    if is_node_ready() and (what == NOTIFICATION_WM_CLOSE_REQUEST or what == NOTIFICATION_APPLICATION_PAUSED):
+    if not is_node_ready() or closing:
+        return
+    if what == NOTIFICATION_WM_CLOSE_REQUEST:
+        _close_after_save()
+    elif what == NOTIFICATION_APPLICATION_PAUSED:
         save_data()
+        # The OS may suspend frames immediately; finish the queued write now.
+        SaveManager.flush_saves()
+
+
+func _close_after_save() -> void:
+    closing = true
+    process_mode = Node.PROCESS_MODE_DISABLED
+    save_data()
+    if SaveManager.is_saving():
+        await SaveManager.saves_drained
+    get_tree().quit()
 
 
 func init_enitities() -> Dictionary:
     var _result := {
             'locked_items': [],
         }
-    for entity_id in Global.OwniverseEntities:
-        var entity = OwniverseEntity.new(Global.OwniverseEntities[entity_id])
-        owniverse.entities[entity_id] = entity
-        
+    owniverse.catalog.load_definitions(Global.OwniverseEntities)
+    for entity_id in owniverse.catalog.entities:
+        var entity: OwniverseEntity = owniverse.catalog.entities[entity_id]
+
         owniverse.state.stats.total_amount[entity_id] = 0
         owniverse.state.amount[entity_id] = 0
-        if entity.lifespan > 0:
+        if E.gt(entity.lifespan, 0):
             owniverse.state.batches[entity.id] = []
-            owniverse.add_entity_to_batch(entity_id, 0, 0)
+            owniverse.batches.add_entity_to_batch(entity_id, 0, 0)
         if entity.group_as != "":
             owniverse.state.amount[entity.group_as] = 0
 
             owniverse.state.stats.total_amount[entity.group_as] = 0
-        
-        if entity.unlock != {}:
-            owniverse.locked_entities.append(entity)
-            _result.locked_items.append(entity.id)
-            
-        if entity.product_per_year_type != "":
-            owniverse.auto_production.append(entity)
 
-        # groups
-        if entity.group_as != "":
-            if !owniverse.entity_groups.has(entity.group_as):
-                owniverse.entity_groups[entity.group_as] = []
-            owniverse.entity_groups[entity.group_as].append(entity_id)
-            
-        if entity.event_group != "":
-            if !owniverse.entity_event_groups.has(entity.event_group):
-                owniverse.entity_event_groups[entity.event_group] = []
-            owniverse.entity_event_groups[entity.event_group].append(entity_id)
+        if entity.unlock != {}:
+            _result.locked_items.append(entity.id)
 
     return _result
 
 #endregion
+
+
+func _on_achievements_pressed(extra_arg_0: String) -> void:
+    pass # Replace with function body.
+
+
+func _on_credits_pressed(extra_arg_0: String) -> void:
+    pass # Replace with function body.

tests/README.md

@@ -1,5 +1,72 @@
 # Проверки поэтапного переноса из Owniverse.U
 
+## Производительность на сохранении
+
+```sh
+godot --headless --path Owniverse.GI --script res://tests/benchmark_saved_state.gd -- /tmp/save.adventure.json
+```
+
+Читает диагностический JSON формата 4 в отдельные экземпляры мира и замеряет
+шесть последовательных шагов на скоростях 1, 4, 6. Запись сохранений не вызывается.
+Последним аргументом можно задать длительность шага в реальных секундах
+(по умолчанию 1/60). Это время расчёта симуляции, без отрисовки интерфейса.
+
+На диагностической копии с 120 партиями прежняя рациональная арифметика после
+оптимизации пустых окон давала 90–99 мс на шаг 1/60 секунды на скорости 6.
+После перехода на целые блоки и устранения повторного построения физических
+количеств повторный замер дал 53–58 мс. При шаге 0,1 секунды: 65–67 мс вместо
+117–138 мс. Это замеры расчёта на данной
+копии, а не обещание FPS. Для сравнения старый JSON был преобразован только
+во временный тестовый файл; в загрузчик игры миграция не добавлена.
+Разреженные сценарии сравниваются с полным расчётом в `test_short_lived_events.gd`.
+
+## Целые блоки и дробные остатки
+
+`godot --headless --path Owniverse.GI --script res://tests/test_exact_math.gd`
+
+Независимый эталон Python Fraction: 160 пар с произведением внутри E27; целые
+проверяются точно, дроби — с допуском 10^-12. Также границы int64/E27, сериализация,
+рецепты с дробными стоимостями, сохранение сумм, время и 100 циклов с меняющимися
+долями. Все остальные тесты используют числовое сравнение и сериализацию через
+`E`, а не сравнение ссылок на большие числа. Границы точности и новый формат
+сохранения описаны в [документации арифметики](../world/owniverse/math/README.md).
+
+## Модули симуляции
+
+`godot --headless --path Owniverse.GI --script res://tests/test_module_lifecycle.gd`
+
+Проверяются отдельные экземпляры модулей и состояния для каждой вселенной, слабая обратная ссылка, освобождение модулей вместе с миром и защита от некорректного delta. Остальные тесты используют прямые API batches, ledger, production, automatic, stellar, life, environment и evolution; временные методы-переадресации Owniverse удалены. Описание границ модулей и порядка фаз: `../world/owniverse/README.md`.
+
+## Математика распределений и каталог
+
+`godot --headless --path Owniverse.GI --script res://tests/test_quantity_catalog.gd`
+
+Проверяются целочисленность и границы распределения, сохранение суммы, разрешение равных остатков, накопление дробей и долгов округления, нормализация весов, размер производственной партии, загрузка каталога и его индексы. Архитектура описана в `../world/owniverse/README.md`. Сохранение игрока не используется.
+
+## Иконки стадий жизни
+
+Тест также проверяет модуль `item_presentation.gd`: отсутствие изменений входного состояния и списка закрытых иконок, решения по разблокировке, отложенную и принудительную публикацию количеств.
+
+`godot --headless --path Owniverse.GI --script res://tests/test_life_icons.gd`
+
+Проверяются одновременная разблокировка подробных и общих иконок EON/LP и C0.0/C0, количества свободных и связанных планет без двойного учёта, переключение подпанелей и очистка счётчика при исчезновении стадии. Сохранение игрока не используется.
+
+## Параметры мира и индикаторы
+
+```sh
+godot --headless --path Owniverse.GI --script res://tests/test_world_indicators.gd
+```
+
+Проверяются сроки жизни существующих и новых звёзд при смене горючести, вероятности и мощность взрывов, влияние агрессии/порядка/просвещения на жизнь, накопление тенденций по времени и этикам, несколько событий за шаг, продолжение после сериализации, валидация сохранения, границы шкал и описания на двух языках. Сцена использует фикстуру без доступа к сохранению игрока.
+
+## Прямой расчёт завершившихся сверхновых
+
+```sh
+godot --headless --path Owniverse.GI --script res://tests/test_short_lived_events.gd
+```
+
+Сравниваются ускоренный путь и прежний путь с созданием всех партий, отключаемый только в тестовой фикстуре. Проверяются LRG, HRG, RSG и RHG на границах коротких и длинных интервалов, существующие SN, нехватка энергии, ресурсы, бласты, привязки, остатки округления и живые партии. Дополнительно проверяется, что длинный интервал создаёт не более двух живых окон и одну запись завершений, сохраняя общее количество. Сохранение игрока этот тест не использует.
+
 `test_stellar_rules.gd` также проверяет автоматическое создание HBD: долю 0,1% нового автоматического водорода, появление по одному со случайным округлением, сохранение оплаченного остатка топлива, отсутствие повторного начисления на старый запас, продолжение случайной последовательности после сериализации и переход HBD → CBD с сохранением счётчика BD. Формулы описаны в `../simulation_rules.md`.
 
 ## Фоновое сохранение и частота обновления интерфейса
@@ -13,7 +80,7 @@ godot --headless --path Owniverse.GI --script res://tests/test_ui_updates.gd
 
 Тест сохранений пишет только в уникальную временную папку `/tmp`, затем удаляет собственные файлы. Проверяются независимость снимка, работа кадров при записи, объединение запросов, диагностическая копия, сохранность предыдущего файла при ошибках и завершение очереди при уничтожении менеджера. Сообщения `Invalid save`, `Save blocked` и `Cannot write` в этом тесте ожидаемы.
 
-Счётчики, время и кнопки производства обновляются раз в 0,1 секунды. Изменения симуляции помечают суммы для пересчёта; сами суммы вычисляются при обновлении интерфейса. Текст счётчиков применяется только к видимым элементам и только при изменении строки. Переход между страницами, выбор элемента и производство вызывают немедленное обновление. Описания сохраняют прежний интервал 0,25 секунды. Тест интерфейса использует игровую сцену с отключёнными загрузкой, сохранением и автоматической симуляцией, не обращаясь к сохранению игрока.
+Тест интерфейса проверяет передачу количеств из presentation в контролы, очистку очереди после публикации, отложенное и принудительное обновление, производство по нажатию и формат времени. Stage в текущей реализации применяет очередь счётчиков и время каждый кадр; интервал 0,1 секунды используется для индикаторов. Рефакторинг этот порядок не меняет. Тест использует игровую сцену с отключёнными загрузкой, сохранением и автоматической симуляцией, не обращаясь к сохранению игрока.
 
 ## Время: шаг 0,1 игрового года
 
@@ -25,14 +92,14 @@ godot --headless --path Owniverse.GI --script res://tests/test_time.gd
 
 Проверяются границы десятых долей года, производство ресурсов на этих границах, накопление дробного остатка, скорости 1–10 000 лет/сек, продолжение после загрузки и недопустимые интервалы.
 
-Схема состояния `0.1.1` хранит:
+Схема состояния `0.3.0` хранит:
 
 - `time.datetime` — накопленный возраст, включая необработанную дробную часть;
 - `time.year` — последний рассчитанный возраст с точностью до десятой доли года.
 
-Сохранения используют формат 2 и актуальную структуру состояния. Проверяются целостность данных, фоновая запись и повторная загрузка; поддержка и миграция прежних форматов отсутствуют.
+Сохранения используют формат 4 и актуальную структуру состояния. Проверяются целостность данных, фоновая запись и повторная загрузка; поддержка и миграция прежних форматов отсутствуют.
 
-Файл с несовместимым номером формата при загрузке переносится в `*.adventure.incompatible.bak` (при совпадении имени добавляется числовой суффикс). Игра начинает новую сессию и может сохранять её в формате 2. Прогресс несовместимого файла не переносится, исходные байты сохраняются в архиве. Ошибка архивирования, расшифровки или повреждение данных текущего формата по-прежнему блокируют перезапись.
+Файл с несовместимым номером формата при загрузке переносится в `*.adventure.incompatible.bak` (при совпадении имени добавляется числовой суффикс). Игра начинает новую сессию и может сохранять её в формате 4. Прогресс несовместимого файла не переносится, исходные байты сохраняются в архиве. Ошибка архивирования, расшифровки или повреждение данных текущего формата по-прежнему блокируют перезапись.
 
 ## Согласованные правила эволюции
 
@@ -88,3 +155,53 @@ godot --headless --path Owniverse.GI --script res://tests/test_civilization_evol
 ```
 
 Проверяются реальные коэффициенты C0.2, войны и побочный ущерб C2.0, замена планет колониями с сохранением хозяина, дипломатическое влияние, бонус периода от структур и деградация при их отсутствии. Ускоренная модель проходит все стадии C0.2 → C4.4 → Ct. Проверки контролируют сохранение населения, целочисленность этик, валидацию сохранения и детерминированное продолжение после сериализации.
+
+## Профиль цивилизаций на шестой скорости
+
+```sh
+godot --headless --path Owniverse.GI --script res://tests/benchmark_civilizations.gd -- frames=20 profile
+godot --path Owniverse.GI --script res://tests/benchmark_civilizations.gd -- ui scenario=mixed frames=10 profile
+```
+
+Сценарии `mixed`, `large`, `fragmented` заполняют все стадии и этики, синхронизируя
+переходы; `large` использует по 6e20 цивилизаций, `fragmented` — десять партий.
+Это искусственные стрессовые сценарии. `scenario=stable` использует штатные
+сроки стадий. Параметр `snapshot=/tmp/civil` сохраняет состояние каждого сценария
+для сравнения до и после изменения. UI запускает настоящую сцену со страницей
+жизни и реальным delta, без загрузки и записи сохранения игрока.
+
+`profile` выводит суммарные микросекунды и число вызовов по этапам. Вложенные
+этапы входят во время родительских; складывать их нельзя. В игре сбор выключен.
+Кэши физических количеств принадлежат отдельному миру и проверяют изменения
+количеств, вложенных привязок и индексов каталога. Кэш структуры правил не входит
+в сохранение: при изменении Claim/бонусов нужно перестроить индексы каталога,
+при изменении home в существующей таблице — invalidate_civilization_layout().
+
+После оптимизации на M4 Pro, по 20 шагов 1/60 секунды, среднее время:
+`mixed` 295 → 235 мс, `large` 666 → 539 мс, `fragmented` 359 → 282 мс.
+Полные состояния всех трёх сценариев после 20 шагов совпали до и после изменения.
+Дополнительно тест распределений сравнивает новый путь с прежним на 300
+случайных наборах, включая 1e40 и накопленные долги округления.
+
+## Расчёт между кадрами
+
+`godot --headless --path Owniverse.GI --script res://tests/test_frame_evolution.gd`
+
+Stage вызывает `evolute_frame`: транзакция получает бюджет 40 мс и уступает
+следующему кадру внутри создания партий и обработки стадий. Расчёт остаётся
+на главном потоке, состояние публикуется только после полного завершения.
+Длительность одной транзакции ограничена обычным шагом 1/60 секунды выбранной
+скорости. Запрошенное время хранится отдельно, поэтому отставание не превращается
+в один всё более тяжёлый шаг. При предельной нагрузке время симуляции может
+отставать от запрошенного; это не ограничение FPS интерфейса и не удаление событий.
+
+Производство во время транзакции выполняется после её завершения. Запрошенное
+время, активный интервал, скорость и очередь производства входят в сохранение;
+при загрузке незавершённый интервал пересчитывается с опубликованного состояния.
+Сброс мира отменяет отложенный расчёт. Тест проверяет точное совпадение непрерывного
+и распределённого расчёта, очереди, переключение скорости, восстановление и отмену.
+
+На M4 Pro, 180 кадров реального UI на шестой скорости: смешанный сценарий
+15.9 FPS (максимальный кадр 98 мс), большие количества 17.5 FPS (106 мс),
+много партий 16.3 FPS (97 мс).
+Это FPS отрисовки, а не число завершённых транзакций симуляции в секунду.

tests/benchmark_civilizations.gd

@@ -0,0 +1,74 @@
+extends SceneTree
+const Fixture = preload("res://tests/fixtures/civilization_benchmark.gd")
+
+func _initialize(): call_deferred("run")
+
+func run():
+    var ui: bool = "ui" in OS.get_cmdline_user_args()
+    var scenarios: Array = ["mixed", "large", "fragmented"]
+    var frames: int = 120
+    var step_delta: float = 1.0 / 60.0
+    for argument in OS.get_cmdline_user_args():
+        if argument.begins_with("scenario="): scenarios = [argument.trim_prefix("scenario=")]
+        if argument.begins_with("delta="): step_delta = float(argument.trim_prefix("delta="))
+        if argument.begins_with("frames="): frames = maxi(2, int(argument.trim_prefix("frames=")))
+    Engine.max_fps = 60
+    if ui: DisplayServer.window_set_size(Vector2i(540, 960))
+    for scenario in scenarios:
+        var scene
+        var stage
+        var world
+        if ui:
+            scene = load("res://world/world.tscn").instantiate()
+            stage = scene.get_node("Stage")
+            stage.owniverse.free()
+            stage.set_script(load("res://tests/fixtures/benchmark_ui_stage.gd"))
+            root.add_child(scene)
+            await process_frame
+            await process_frame
+            world = stage.owniverse
+        else:
+            world = load("res://world/owniverse/owniverse.gd").new()
+            world.catalog.load_definitions(root.get_node("Global").OwniverseEntities)
+        Fixture.seed(world, root.get_node("Global"), scenario == "fragmented", scenario == "large", scenario == "stable")
+        world.profile_enabled = "profile" in OS.get_cmdline_user_args()
+        var samples: Array = []
+        if ui:
+            stage.stage_page_scroller.scroll_horizontal = 4 * stage.PAGE_WIDTH
+            for item in stage.owniverse_items.values(): item.visible = true
+            for page in stage.item_pages: page.visible = true
+            stage._set_item_description(stage.owniverse_items["C2.0"])
+            stage._refresh_universe_ui()
+            for warmup in 10: await process_frame
+            stage.measuring = true
+            for frame in frames:
+                await process_frame
+                if (frame + 1) % 10 == 0:
+                    print("%s: measured %d UI frames" % [scenario, frame + 1])
+            stage.measuring = false
+            samples = stage.process_samples
+            report(scenario + " UI frame", stage.frame_samples)
+        else:
+            for frame in frames:
+                var started: int = Time.get_ticks_usec()
+                world.evolute(step_delta)
+                samples.append((Time.get_ticks_usec() - started) / 1000.0)
+        report(scenario + (" UI handler" if ui else " CPU"), samples)
+        if ui:
+            print("Completed simulation transactions: ", world.frame_commits, "; published year: ", world.state.time.year, "; requested year: ", world.frame_clock.get("year", 0))
+        print("Statistics ", world.state.civilization_stats)
+        if world.profile_enabled: print("Profile microseconds/calls: ", world.profile)
+        for argument in OS.get_cmdline_user_args():
+            if argument.begins_with("snapshot="):
+                var file = FileAccess.open(argument.trim_prefix("snapshot=") + "-" + scenario + ".json", FileAccess.WRITE)
+                file.store_string(JSON.stringify(world.E.encode(world.state)))
+        for entity in world.catalog.entities.values(): entity.free()
+        world.free()
+        if ui: scene.free()
+    quit()
+
+func report(label: String, samples: Array):
+    var total: float = 0.0
+    for sample in samples: total += sample
+    samples.sort()
+    print("%s: mean %.2f ms, p95 %.2f ms, max %.2f ms, %.1f per second" % [label, total / samples.size(), samples[ceili(samples.size() * 0.95) - 1], samples.back(), samples.size() * 1000 / total])

tests/benchmark_civilizations.gd.uid

@@ -0,0 +1 @@
+uid://b5w4sp6eepypa

tests/benchmark_saved_state.gd

@@ -0,0 +1,47 @@
+extends SceneTree
+## Read-only benchmark. Loads a diagnostic JSON, never invokes SaveManager.
+const E = preload("res://world/owniverse/math/exact.gd")
+
+func _initialize():
+    call_deferred("run")
+
+func restore_json_integers(value):
+    # JSON parses ordinary integer tokens as float. Large integers are $exact.
+    if value is float and value == floorf(value) and absf(value) <= 9007199254740991:
+        return int(value)
+    if value is Dictionary:
+        for key in value: value[key] = restore_json_integers(value[key])
+    elif value is Array:
+        for i in value.size(): value[i] = restore_json_integers(value[i])
+    return value
+
+func run():
+    var args = OS.get_cmdline_user_args()
+    if args.is_empty():
+        print("Usage: --script tests/benchmark_saved_state.gd -- /path/to/save.adventure.json [delta_seconds]")
+        quit(1)
+        return
+    var data = JSON.parse_string(FileAccess.get_file_as_string(args[0]))
+    if not data is Dictionary or data.get("format_version") != 5:
+        push_error("Expected diagnostic JSON format 5")
+        quit(1)
+        return
+    var initial: Dictionary = E.decode(restore_json_integers(data)).state
+    var delta: float = args[1].to_float() if args.size() > 1 else 1.0 / 60.0
+    if not is_finite(delta) or delta <= 0:
+        quit(1)
+        return
+    for speed in [1, 4, 6]:
+        var world = load("res://world/owniverse/owniverse.gd").new()
+        world.catalog.load_definitions(root.get_node("Global").OwniverseEntities)
+        world.state = initial.duplicate(true)
+        world.speed = speed
+        var elapsed: Array = []
+        for cycle in 6:
+            var start: int = Time.get_ticks_usec()
+            world.evolute(delta)
+            elapsed.append((Time.get_ticks_usec() - start) / 1000.0)
+        print("Speed %d, six consecutive %s-second steps, ms: %s" % [speed, delta, elapsed])
+        for entity in world.catalog.entities.values(): entity.free()
+        world.free()
+    quit()

tests/benchmark_saved_state.gd.uid

@@ -0,0 +1 @@
+uid://dji1apht4pn5y

tests/benchmark_speed6.gd

@@ -0,0 +1,40 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+
+func _initialize(): call_deferred("run")
+
+func run():
+    for scenario in ["ordinary", "hypergiants"]:
+        var world = load("res://world/owniverse/owniverse.gd").new()
+        world.catalog.load_definitions(root.get_node("Global").OwniverseEntities)
+        for id in world.catalog.entities:
+            world.state.amount[id] = 0
+            world.state.stats.total_amount[id] = 0
+            var group: String = world.catalog.entities[id].group_as
+            if group != "":
+                world.state.amount[group] = 0
+                world.state.stats.total_amount[group] = 0
+        world.speed = 6
+        world.state.amount.S = E.of("1e24")
+        world.state.amount.H = E.of("1e24")
+        for entry in [["RD", 1234567], ["YD", 765432], ["STN", 654321]]:
+            world.state.amount[entry[0]] = entry[1]
+            world.batches.append_batch(world.state, entry[0], entry[1], 0, 0)
+        if scenario == "hypergiants":
+            world.state.amount.HG = E.of("1e20")
+            world.batches.append_batch(world.state, "HG", E.of("1e20"), 0, 0)
+            var start_year = E.subtract(world.catalog.entities.HG.lifespan, 1000)
+            world.state.time = {"datetime": start_year, "year": start_year}
+        var samples: Array = []
+        var total: int = 0
+        for frame in 600:
+            var started: int = Time.get_ticks_usec()
+            world.evolute(1.0 / 60.0)
+            var duration: int = Time.get_ticks_usec() - started
+            samples.append(duration)
+            total += duration
+        samples.sort()
+        print("Speed 6 %s: 600 frames, mean %.3f ms, p95 %.3f ms, max %.3f ms, %.1f cycles/sec" % [scenario, total / 600000.0, samples[569] / 1000.0, samples.back() / 1000.0, 600000000.0 / total])
+        for entity in world.catalog.entities.values(): entity.free()
+        world.free()
+    quit()

tests/benchmark_speed6.gd.uid

@@ -0,0 +1 @@
+uid://bboo6op14es24

tests/benchmark_ui_speed6.gd

@@ -0,0 +1,56 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+
+func _initialize(): call_deferred("run")
+
+func report(label: String, samples: Array):
+    var total: float = 0.0
+    var slow: int = 0
+    for sample in samples:
+        total += sample
+        if sample > 33.333: slow += 1
+    samples.sort()
+    print("%s: %d samples, mean %.3f ms, p95 %.3f ms, max %.3f ms, >33ms %d" % [label, samples.size(), total / samples.size(), samples[int(samples.size() * 0.95) - 1], samples.back(), slow])
+
+func run():
+    Engine.max_fps = 60
+    DisplayServer.window_set_size(Vector2i(540, 960))
+    print("Renderer: ", RenderingServer.get_current_rendering_method(), " adapter: ", RenderingServer.get_video_adapter_name())
+    for scenario in ["ordinary", "hypergiants"]:
+        for page in ([2] if "stars" in OS.get_cmdline_user_args() else [1, 2]):
+            var scene = load("res://world/world.tscn").instantiate()
+            var stage = scene.get_node("Stage")
+            stage.owniverse.free()
+            stage.set_script(load("res://tests/fixtures/benchmark_ui_stage.gd"))
+            root.add_child(scene)
+            await process_frame
+            await process_frame
+            var world = stage.owniverse
+            world.speed = 6
+            world.state.amount.S = E.of("1e24")
+            world.state.amount.H = E.of("1e24")
+            for entry in [["RD", 1234567], ["YD", 765432], ["STN", 654321]]:
+                world.state.amount[entry[0]] = entry[1]
+                world.batches.append_batch(world.state, entry[0], entry[1], 0, 0)
+            if scenario == "hypergiants":
+                world.state.amount.HG = E.of("1e20")
+                world.batches.append_batch(world.state, "HG", E.of("1e20"), 0, 0)
+                var start_year = E.subtract(world.catalog.entities.HG.lifespan, 1000)
+                world.state.time = {"datetime": start_year, "year": start_year}
+            stage.stage_page_scroller.scroll_horizontal = page * stage.PAGE_WIDTH
+            for item in stage.owniverse_items.values(): item.visible = true
+            if page == 2: stage._control_page(stage.owniverse_items.HG)
+            stage._set_item_description(stage.owniverse_items.HG if page == 2 else stage.owniverse_items.H)
+            stage._refresh_universe_ui()
+            for warmup in 30: await process_frame
+            stage.measuring = true
+            for frame in 600: await process_frame
+            stage.measuring = false
+            var label: String = "%s page %d" % [scenario, page]
+            report(label + " Stage CPU", stage.process_samples)
+            report(label + " frame wall", stage.frame_samples)
+            print("UI counters: H=", stage.owniverse_items.H.description.text, " HG=", stage.owniverse_items.HG.description.text, " date=", stage.date_time.text)
+            for entity in world.catalog.entities.values(): entity.free()
+            world.free()
+            scene.free()
+    quit()

tests/benchmark_ui_speed6.gd.uid

@@ -0,0 +1 @@
+uid://b3gmlo2vq6kk4

tests/fixtures/benchmark_ui_stage.gd

@@ -0,0 +1,19 @@
+extends "res://stage/stage.gd"
+
+var measuring: bool = false
+var process_samples: Array = []
+var frame_samples: Array = []
+var previous_frame: int = 0
+
+# Exercise the production Stage, with isolated state and no player-save I/O.
+func load_data() -> bool: return false
+func save_data() -> void: pass
+func _notification(_what: int) -> void: pass
+
+func _process(delta: float) -> void:
+    if not measuring: return
+    var started: int = Time.get_ticks_usec()
+    if previous_frame: frame_samples.append((started - previous_frame) / 1000.0)
+    previous_frame = started
+    super._process(delta)
+    process_samples.append((Time.get_ticks_usec() - started) / 1000.0)

tests/fixtures/benchmark_ui_stage.gd.uid

@@ -0,0 +1 @@
+uid://d1wm7nav71y3o

tests/fixtures/civilization_benchmark.gd

@@ -0,0 +1,30 @@
+extends RefCounted
+const E = preload("res://world/owniverse/math/exact.gd")
+
+static func seed(world, global, fragmented: bool = false, large: bool = false, stable: bool = false):
+    for id in world.catalog.entities:
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        var entity = world.catalog.entities[id]
+        if entity.group_as != "":
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    for id in ["RD", "BG", "TWD", "SNS", "MGT", "BH25", "SMBH", "SCD", "GEM", "LGG", "LSC", "LGF", "LGW", "LUB"]:
+        world.state.amount[id] = E.of("1e48")
+    world.state.amount.S = E.of("1e50")
+    world.state.amount.H = E.of("1e48")
+    world.state.binds.RD = {"HP": E.of("1e30"), "RP": E.of("1e30"), "GG": E.of("1e30"), "AB": E.of("1e30")}
+    var count = E.of("6e20") if large else 6000
+    for id in global.CivilizationRules:
+        if E.le(global.CivilizationRules[id].span, 0): continue
+        world.state.amount[id] = count
+        world.state.ethics[id] = {}
+        for ethic in ["m", "l", "w", "d", "c", "b"]:
+            world.state.ethics[id][ethic] = E.divide(count, 6)
+        world.state.batches[id] = []
+        var parties: int = 10 if fragmented else 1
+        for i in parties:
+            var lifespan = E.of(global.CivilizationRules[id].span) if stable else 1
+            world.state.batches[id].append({"amount": E.divide(count, parties), "created_from": i * 100, "created_to": 1000 + i * 100, "start_year": E.add(lifespan, i * 100), "end_year": E.add(lifespan, 1000 + i * 100)})
+    world.ledger.refresh_groups(world.state)
+    world.speed = 6

tests/fixtures/civilization_benchmark.gd.uid

@@ -0,0 +1 @@
+uid://bjloakx4qdpsj

tests/fixtures/legacy_quantity_math.gd

@@ -0,0 +1,59 @@
+extends RefCounted
+const E = preload("res://world/owniverse/math/exact.gd")
+# Frozen apportionment before the civilization performance refactor.
+
+static func allocate_whole(requests: Dictionary, limit: Variant) -> Dictionary:
+    var total: Variant = 0
+    for amount in requests.values():
+        total = E.add(total, E.floor_value(E.maximum(0, amount)))
+    var available: Variant = E.floor_value(E.minimum(E.maximum(0, limit), total))
+    var result: Dictionary = {}
+    var order: Array = []
+    var assigned: Variant = 0
+    for id in requests:
+        var expected: Variant = (E.mul_div(E.floor_value(E.maximum(0, requests[id])), available, total) if E.gt(total, 0) else 0)
+        result[id] = E.floor_value(expected)
+        assigned = E.add(assigned, result[id])
+        order.append({"id": id, "rest": E.subtract(expected, result[id])})
+    order.sort_custom(func ( a : Dictionary , b : Dictionary ) -> bool : return (E.gt(a.rest, b.rest) if E.ne(a.rest, b.rest) else E.lt(str(a.id), str(b.id))))
+    for item : Dictionary in order:
+        if E.ge(assigned, available):
+            break
+        if E.lt(result[item.id], E.floor_value(requests[item.id])):
+            result[item.id] = E.add(result[item.id], 1)
+            assigned = E.add(assigned, 1)
+    return result
+
+
+static func sum(pop: Dictionary) -> Variant:
+    var result: Variant = 0
+    for n in pop.values(): result = E.add(result, n)
+    return result
+
+
+static func split(remainders: Dictionary, key: String, count: Variant, weights: Dictionary) -> Dictionary:
+    var result: Dictionary = {}
+    var sum_weights: Variant = sum(weights)
+    if (E.le(count, 0) or E.le(sum_weights, 0)): return result
+    var expected: Dictionary = {}
+    var positive_sum: Variant = 0
+    for id in weights:
+        expected[id] = E.add(E.mul_div(count, weights[id], sum_weights), remainders.get(E.add(E.add(key, ":"), id), 0))
+        positive_sum = E.add(positive_sum, E.maximum(0, expected[id]))
+    var order: Array = []
+    var assigned: Variant = 0
+    for id in weights:
+        var normalized: Variant = (E.mul_div(E.maximum(0, expected[id]), count, positive_sum) if E.gt(positive_sum, 0) else 0)
+        result[id] = E.floor_value(normalized)
+        assigned = E.add(assigned, result[id])
+        order.append({"id": id, "rest": E.subtract(normalized, result[id])})
+    order.sort_custom(func ( a , b ) : return (E.gt(a.rest, b.rest) if E.ne(a.rest, b.rest) else E.lt(str(a.id), str(b.id))))
+    for entry in order:
+        if E.ge(assigned, count): break
+        result[entry.id] = E.add(result[entry.id], 1)
+        assigned = E.add(assigned, 1)
+    for id in weights:
+        remainders[E.add(E.add(key, ":"), id)] = E.clamp_value(E.subtract(expected[id], result[id]), E.neg(1), 1)
+    return result
+
+

tests/fixtures/legacy_quantity_math.gd.uid

@@ -0,0 +1 @@
+uid://dxsly3qpyqrjy

tests/fixtures/legacy_stellar_events.gd

@@ -0,0 +1,5 @@
+extends "res://world/owniverse/owniverse.gd"
+
+# Compare with the materialized-batch path, without overriding the coordinator.
+func _init() -> void:
+    stellar.direct_completions = false

tests/fixtures/legacy_stellar_events.gd.uid

@@ -0,0 +1 @@
+uid://cn6hhpjw1sjpb

tests/test_action_values.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 
 var failures: int = 0
 var checks: int = 0
@@ -7,41 +8,41 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(value: bool, message: String) -> void:
-    checks += 1
-    if not value:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not value):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func run() -> void:
     var actions = load("res://ui/actions/actions.tscn").instantiate()
     root.add_child(actions)
-    for maximum in [0.0, 0.1, 0.99, 1.0, 1.9, 10.0, 100.0, 123.0, 1000.0, 10000.0, 1e9, 1.1e9, 1e150]:
+    for maximum in [0, E.of("0.1"), E.of("0.99"), 1, E.of("1.9"), 10, 100, 123, 1000, 10000, E.of("1e9"), E.of("1.1e9"), E.of("9e27")]:
         actions.set_actions("test", maximum)
         var labels: Array = []
         var values: Array = []
         for i in 5:
-            var value: float = actions.action_values[i]
+            var value: Variant = actions.action_values[i]
             var text: String = actions.action_labels[i].text
-            check(value == floorf(value) and value <= floorf(maximum), "Whole affordable request")
-            if value > 0.0:
-                check(not values.has(value) and not labels.has(text), "Unique requests and displayed labels")
+            check((E.eq(value, E.floor_value(value)) and E.le(value, E.floor_value(maximum))), "Whole affordable request")
+            if E.gt(value, 0):
+                check(((not values.has(value)) and (not labels.has(text))), "Unique requests and displayed labels")
                 values.append(value)
                 labels.append(text)
             else:
-                check(text == "" and actions.action_labels[i].get_parent().get_node("TextureButton").disabled, "Unused button blank and disabled")
-        if maximum >= 1.0: check(values.back() == floorf(maximum), "Maximum retained")
-    actions.set_actions("test", 100.0)
-    check(actions.action_values.values() == [1.0, 10.0, 100.0, 0.0, 0.0], "Exact power of ten not duplicated")
-    actions.set_actions("SMBH", 25.0, func(_request): return 25.0)
-    check(actions.action_values.values() == [25.0, 0.0, 0.0, 0.0, 0.0], "Identical SMBH previews collapse to one button")
-    actions.set_actions("step", 123.0, func(request): return floorf(request / 5.0) * 5.0)
-    check(actions.action_values.values() == [10.0, 100.0, 123.0, 0.0, 0.0], "Unproducible small requests omitted")
-    check(actions.action_labels[2].text == "120", "Recipe preview displayed while original request retained")
+                check((E.eq(text, "") and actions.action_labels[i].get_parent().get_node("TextureButton").disabled), "Unused button blank and disabled")
+        if E.ge(maximum, 1): check(E.eq(values.back(), E.floor_value(maximum)), "Maximum retained")
+    actions.set_actions("test", 100)
+    check(E.eq(actions.action_values.values(), [1, 10, 100, 0, 0]), "Exact power of ten not duplicated")
+    actions.set_actions("SMBH", 25, func ( _request ) : return 25)
+    check(E.eq(actions.action_values.values(), [25, 0, 0, 0, 0]), "Identical SMBH previews collapse to one button")
+    actions.set_actions("step", 123, func ( request ) : return E.multiply(E.floor_value(E.divide(request, 5)), 5))
+    check(E.eq(actions.action_values.values(), [10, 100, 123, 0, 0]), "Unproducible small requests omitted")
+    check(E.eq(actions.action_labels[2].text, "120"), "Recipe preview displayed while original request retained")
     var emitted: Array = []
-    actions.action_pressed.connect(func(_page, amount): emitted.append(amount))
+    actions.action_pressed.connect(func ( _page , amount ) : emitted.append(amount))
     actions._on_action_button_pressed(2)
     actions._on_action_button_pressed(4)
-    check(emitted == [123.0], "Only active button emits its matching request")
+    check(E.eq(emitted, [123]), "Only active button emits its matching request")
     actions.queue_free()
-    print("Action values: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("Action values: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_async_save.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 
 var failures: int = 0
 var checks: int = 0
@@ -8,93 +9,127 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(value: bool, message: String) -> void:
-    checks += 1
-    if not value:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not value):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func run() -> void:
     var manager = load("res://autoload/save_manager.gd").new()
-    var directory: String = "/tmp/owniverse-async-%s-%s" % [OS.get_process_id(), Time.get_ticks_usec()]
+    var directory: String = ("/tmp/owniverse-async-%s-%s" % [OS.get_process_id(), Time.get_ticks_usec()])
     DirAccess.make_dir_recursive_absolute(directory)
     manager.save_directory = directory
     root.add_child(manager)
-    manager.save_completed.connect(func(filename, success, error): completions.append([filename, success, error]))
+    manager.save_completed.connect(func ( filename , success , error ) : completions.append([filename, success, error]))
     var world = load("res://world/owniverse/owniverse.gd").new()
+    world.state.energy = E.subtract(world.state.energy, 1)
+    world.state.time = preload("res://world/owniverse/simulation_time.gd").advance({"datetime": E.of("1e27")}, 0.000000001, 1)
     var data: Dictionary = {"state": world.state, "ui": {"current_page": 1}}
+    var initial_energy: Variant = world.state.energy
     var global: Node = root.get_node("Global")
     var old_plaintext: bool = global.save_plaintext_copy
     global.save_plaintext_copy = true
     check(manager.request_save("snapshot", "test-password", data), "Snapshot queued")
-    data.state.energy = 99.0
+    data.state.energy = 99
     data.ui.current_page = 2
     var frames: int = 0
-    var deadline: int = Time.get_ticks_msec() + 10000
-    while manager.is_saving() and Time.get_ticks_msec() < deadline:
-        frames += 1
+    var deadline: int = E.add(Time.get_ticks_msec(), 10000)
+    while (manager.is_saving() and E.lt(Time.get_ticks_msec(), deadline)):
+        frames = E.add(frames, 1)
         await process_frame
-    check(not manager.is_saving() and frames > 0, "Frames continue while save is pending")
+    check(((not manager.is_saving()) and E.gt(frames, 0)), "Frames continue while save is pending")
     var saved: Dictionary = manager.load_data("snapshot", "test-password")
-    check(saved.state.energy == 1e14 and saved.ui.current_page == 1, "Worker owns a deep snapshot")
+    check((E.eq(saved.state.energy, initial_energy) and E.eq(saved.ui.current_page, 1)), "Worker owns a deep snapshot")
+    check(E.eq(saved.state.time, world.state.time), "Encrypted save preserves exact ticks at huge age")
     var plain: Dictionary = JSON.parse_string(FileAccess.get_file_as_string(directory.path_join("snapshot.adventure.json")))
-    check(plain.state.energy == 1e14, "Diagnostic JSON uses same snapshot")
-    check(completions.size() == 1 and completions[0][1], "Completion reports successful write")
+    check(E.eq(E.decode(plain.state.energy), initial_energy), "Diagnostic JSON uses same snapshot")
+    check(E.eq(E.decode(plain.state.time), saved.state.time), "Diagnostic JSON preserves fractional time")
+    check((E.eq(completions.size(), 1) and completions[0][1]), "Completion reports successful write")
 
     completions.clear()
-    data.state.energy = 1.0
+    data.state.energy = 1
     manager.request_save("latest", "test-password", data)
-    data.state.energy = 2.0
+    data.state.energy = 2
     manager.request_save("latest", "test-password", data)
-    data.state.energy = 3.0
+    data.state.energy = 3
     manager.request_save("latest", "test-password", data)
-    data.state.energy = 4.0
+    data.state.energy = 4
     manager.flush_saves()
-    check(completions.size() == 2, "Repeated requests coalesce behind active write")
-    check(manager.load_data("latest", "test-password").state.energy == 3.0, "Last queued snapshot wins")
+    check(E.eq(completions.size(), 2), "Repeated requests coalesce behind active write")
+    check(E.eq(manager.load_data("latest", "test-password").state.energy, 3), "Last queued snapshot wins")
+
+    var pending_clock: Dictionary = preload("res://world/owniverse/simulation_time.gd").advance(world.state.time, 0.01, 1)
+    data.simulation = {"requested_clock": pending_clock, "active_clock": pending_clock, "speed": 1, "productions": [{"id": "H", "amount": 7, "resource": true}]}
+    manager.request_save("checkpoint", "test-password", data)
+    manager.flush_saves()
+    check(E.eq(manager.load_data("checkpoint", "test-password").simulation, data.simulation), "Encrypted save preserves requested time and queued production")
+    var malformed: Dictionary = manager._snapshot("probe", "test-password", data).payload
+    malformed.simulation.productions[0].id = "missing-entity"
+    check(manager.validate_data(malformed).contains("queued production"), "Unknown queued production is rejected before resume")
+    malformed = manager._snapshot("probe", "test-password", data).payload
+    malformed.simulation.requested_clock.year = -1
+    check(manager.validate_data(malformed).contains("simulation clock"), "Invalid requested clock is rejected before resume")
+    data.erase("simulation")
 
     var incompatible_path: String = directory.path_join("incompatible.adventure")
     var incompatible = FileAccess.open_encrypted_with_pass(incompatible_path, FileAccess.WRITE, "test-password")
-    incompatible.store_var({"format_version": -1, "state": {"unknown": true}}, false)
+    incompatible.store_var({"format_version": E.neg(1), "state": {"unknown": true}}, false)
     incompatible.close()
     var original: PackedByteArray = FileAccess.get_file_as_bytes(incompatible_path)
-    var previous_archive = FileAccess.open(incompatible_path + ".incompatible.bak", FileAccess.WRITE)
+    var previous_archive = FileAccess.open(E.add(incompatible_path, ".incompatible.bak"), FileAccess.WRITE)
     previous_archive.store_string("keep previous backup")
     previous_archive.close()
     manager.blocked_saves.incompatible = true
-    check(manager.load_data("incompatible", "test-password").is_empty() and manager.last_error == "", "Unsupported format permits a fresh session")
-    check(not manager.blocked_saves.has("incompatible") and not FileAccess.file_exists(incompatible_path), "Incompatible file no longer blocks saving")
-    check(FileAccess.get_file_as_bytes(incompatible_path + ".incompatible.bak.1") == original, "Unsupported save archived without losing bytes")
-    check(FileAccess.get_file_as_string(incompatible_path + ".incompatible.bak") == "keep previous backup", "Earlier archive preserved")
+    check((manager.load_data("incompatible", "test-password").is_empty() and E.eq(manager.last_error, "")), "Unsupported format permits a fresh session")
+    check(((not manager.blocked_saves.has("incompatible")) and (not FileAccess.file_exists(incompatible_path))), "Incompatible file no longer blocks saving")
+    check(E.eq(FileAccess.get_file_as_bytes(E.add(incompatible_path, ".incompatible.bak.1")), original), "Unsupported save archived without losing bytes")
+    check(E.eq(FileAccess.get_file_as_string(E.add(incompatible_path, ".incompatible.bak")), "keep previous backup"), "Earlier archive preserved")
     check(manager.request_save("incompatible", "test-password", data), "New session can queue a save")
     manager.flush_saves()
-    check(manager.load_data("incompatible", "test-password").state == data.state, "New format saves and reloads after incompatible file")
+    check(E.eq(manager.load_data("incompatible", "test-password").state, data.state), "New format saves and reloads after incompatible file")
 
     # Expected failures below must leave the last good encrypted file intact.
-    data.state.energy = -1.0
+    data.state.energy = E.neg(1)
     manager.request_save("latest", "test-password", data)
     manager.flush_saves()
-    check(not completions.back()[1] and manager.last_error.contains("Invalid save"), "Worker validation error reaches main thread")
-    check(manager.load_data("latest", "test-password").state.energy == 3.0, "Invalid snapshot preserves previous save")
+    check(((not completions.back()[1]) and manager.last_error.contains("Invalid save")), "Worker validation error reaches main thread")
+    check(E.eq(manager.load_data("latest", "test-password").state.energy, 3), "Invalid snapshot preserves previous save")
     manager.blocked_saves.latest = true
-    check(not manager.request_save("latest", "test-password", data), "Unreadable save protection also applies to queue")
+    check((not manager.request_save("latest", "test-password", data)), "Unreadable save protection also applies to queue")
     # A valid snapshot exercises an actual I/O failure, not validation.
-    data.state.energy = 5.0
+    data.state.energy = 5
     manager.request_save("missing/failure", "test-password", data)
     manager.flush_saves()
     check(manager.last_error.contains("Cannot write"), "I/O error reported without hanging queue")
 
     manager.request_save("shutdown", "test-password", data)
-    data.state.energy = 6.0
+    data.state.energy = 6
     manager.request_save("shutdown", "test-password", data)
     manager.free()
     var reader = load("res://autoload/save_manager.gd").new()
     reader.save_directory = directory
-    check(reader.load_data("shutdown", "test-password").state.energy == 6.0, "Teardown drains final pending snapshot")
+    check(E.eq(reader.load_data("shutdown", "test-password").state.energy, 6), "Teardown drains final pending snapshot")
     reader.free()
     world.free()
+    # Exercise the stage entry point too: manager tests alone do not catch a
+    # regression back to the synchronous API in stage.gd.
+    var shared_manager: Node = root.get_node("SaveManager")
+    var original_directory: String = shared_manager.save_directory
+    shared_manager.save_directory = directory
+    var stage = load("res://stage/stage.gd").new()
+    stage.pending_page = 2
+    stage.owniverse.state.energy = 42
+    stage.save_data()
+    check(shared_manager.is_saving(), "Stage queues a background save instead of waiting for disk")
+    stage.owniverse.state.energy = 43
+    shared_manager.flush_saves()
+    check(E.eq(shared_manager.load_data("owniverse", "qwerty").state.energy, 42), "Stage save writes an independent snapshot")
+    stage.owniverse.free()
+    stage.free()
+    shared_manager.save_directory = original_directory
     global.save_plaintext_copy = old_plaintext
     for filename in DirAccess.get_files_at(directory):
         DirAccess.remove_absolute(directory.path_join(filename))
     DirAccess.remove_absolute(directory)
-    print("Async save: %d checks, %d failures (validation/block/I/O errors above are intentional)" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("Async save: %d checks, %d failures (validation/block/I/O errors above are intentional)" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_batch_boundaries.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 const Clock = preload("res://world/owniverse/simulation_time.gd")
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -17,41 +18,41 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
 func run() -> void:
     var world = fixture()
-    world.state.batch_origins.LGRB = 10357034.80000000074505806
-    var boundary: float = 41215289.79999999701976776
-    for interval in [[boundary - 2.5, boundary + 2.25], [boundary, boundary + 2.0]]:
+    world.state.batch_origins.LGRB = E.of("10357034.80000000074505806")
+    var boundary: Variant = E.of("41215289.79999999701976776")
+    for interval in [[E.subtract(boundary, E.of("2.5")), E.add(boundary, E.of("2.25"))], [boundary, E.add(boundary, 2)]]:
         world.state.batches.LGRB = []
-        world._append_batch(world.state, "LGRB", 100.0, interval[0], interval[1])
-        var total: float = 0.0
-        var last: float = -INF
-        for batch: Dictionary in world.state.batches.LGRB:
-            total += batch.amount
-            check(batch.created_from > last, "Batch windows advance monotonically")
-            check(batch.created_to > batch.created_from, "Positive window duration")
-            check(batch.amount >= 0.0, "No negative batch amounts")
+        world.batches.append_batch(world.state, "LGRB", 100, interval[0], interval[1])
+        var total: Variant = 0
+        var last: Variant = E.neg(INF)
+        for batch : Dictionary in world.state.batches.LGRB:
+            total = E.add(total, batch.amount)
+            check(E.gt(batch.created_from, last), "Batch windows advance monotonically")
+            check(E.gt(batch.created_to, batch.created_from), "Positive window duration")
+            check(E.ge(batch.amount, 0), "No negative batch amounts")
             last = batch.created_from
-        check(total == 100.0, "Boundary correction preserves all objects")
-        check(world.state.batches.LGRB.size() <= 7, "Finite number of windows")
+        check(E.eq(total, 100), "Boundary correction preserves all objects")
+        check(E.le(world.state.batches.LGRB.size(), 7), "Finite number of windows")
     dispose(world)
-    print("Batch boundaries: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("Batch boundaries: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_civilization_evolution.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 const Clock = preload("res://world/owniverse/simulation_time.gd")
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -17,148 +18,148 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
-func seed_population(world, id: String, count: float, time: float = 1.0) -> void:
-    world.state.amount.N = 0.0
+func seed_population(world, id: String, count: Variant, time: Variant = 1.0) -> void:
+    world.state.amount.N = 0
     world.state.amount[id] = count
     world.state.batches[id] = [{"amount": count, "start_year": time, "end_year": time}]
-    world.initialize_life_batches()
+    world.evolution.initialize_life_batches()
 
-func sum_ethics(world, id: String) -> float:
-    var result: float = 0.0
-    for n in world.state.ethics.get(id, {}).values(): result += n
+func sum_ethics(world, id: String) -> Variant:
+    var result: Variant = 0
+    for n in world.state.ethics.get(id, {}).values(): result = E.add(result, n)
     return result
 
 func invariants(world) -> void:
-    var physical: Dictionary = world._physical_amounts(world.state)
+    var physical: Dictionary = world.ledger.physical_amounts(world.state)
     for id in world.state.ethics:
-        check(sum_ethics(world, id) == physical.get(id, 0.0), "Ethics equal physical population for " + id)
+        check(E.eq(sum_ethics(world, id), physical.get(id, 0)), E.add("Ethics equal physical population for ", id))
         for n in world.state.ethics[id].values():
-            if n < 0.0 or n != floorf(n): check(false, "Invalid ethic amount")
-    check(root.get_node("SaveManager").validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Civilization state validates")
+            if (E.lt(n, 0) or E.ne(n, E.floor_value(n))): check(false, "Invalid ethic amount")
+    check(E.eq(root.get_node("SaveManager").validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Civilization state validates")
 
 func run() -> void:
     var global: Node = root.get_node("Global")
     var baseline: Dictionary = global.CivilizationRules.duplicate(true)
     var world = fixture()
-    seed_population(world, "C0.2", 60000.0)
-    world._evolve_batches(world.state, 1.0)
-    check(world.state.amount["C0.3"] > 0.0, "C0.2 actually progresses")
-    check(world.state.amount["C0.1"] > 0.0, "C0.2 actually degrades")
-    check(world.state.civilization_stats.get("wars", 0.0) == 0.0, "Table disables early wars")
-    check(world.state.amount["C0.2"] + world.state.amount["C0.3"] + world.state.amount["C0.1"] == 60000.0, "Ordinary evolution conserves population")
-    check(world.state.stats.total_amount["C0.2"] == 0.0, "Survivors do not count as new civilizations")
-    check(world.state.civilization_stats.worship > 0.0, "Worship derived from surviving ethics")
+    seed_population(world, "C0.2", 60000)
+    world.evolution.evolve_batches(world.state, 1)
+    check(E.gt(world.state.amount["C0.3"], 0), "C0.2 actually progresses")
+    check(E.gt(world.state.amount["C0.1"], 0), "C0.2 actually degrades")
+    check(E.eq(world.state.civilization_stats.get("wars", 0), 0), "Table disables early wars")
+    check(E.eq(E.add(E.add(world.state.amount["C0.2"], world.state.amount["C0.3"]), world.state.amount["C0.1"]), 60000), "Ordinary evolution conserves population")
+    check(E.eq(world.state.stats.total_amount["C0.2"], 0), "Survivors do not count as new civilizations")
+    check(E.gt(world.state.civilization_stats.worship, 0), "Worship derived from surviving ethics")
     invariants(world)
     var restored = fixture()
-    restored.state = bytes_to_var(var_to_bytes(world.state))
-    world._evolve_batches(world.state, 2100.0)
-    restored._evolve_batches(restored.state, 2100.0)
-    check(world.state == restored.state, "Save resumes deterministic ethical evolution")
+    restored.state = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
+    world.evolution.evolve_batches(world.state, 2100)
+    restored.evolution.evolve_batches(restored.state, 2100)
+    check(E.eq(world.state, restored.state), "Save resumes deterministic ethical evolution")
     invariants(world)
     dispose(restored)
     dispose(world)
 
     world = fixture()
-    world.state.amount.RD = 1e8
-    seed_population(world, "C2.0", 60000.0)
-    world.state.amount["C1.9"] = 10000.0
-    world.initialize_life_batches()
-    world._evolve_batches(world.state, 1.0)
-    check(world.state.civilization_stats.wars > 0.0, "Wars execute when enabled")
-    check(world.state.civilization_stats.collateral > 0.0, "Wars affect previous-stage populations")
-    check(world.state.amount["C2.1"] > 0.0, "Winners and peaceful progress reach next stage")
+    world.state.amount.RD = 100000000
+    seed_population(world, "C2.0", 60000)
+    world.state.amount["C1.9"] = 10000
+    world.evolution.initialize_life_batches()
+    world.evolution.evolve_batches(world.state, 1)
+    check(E.gt(world.state.civilization_stats.wars, 0), "Wars execute when enabled")
+    check(E.gt(world.state.civilization_stats.collateral, 0), "Wars affect previous-stage populations")
+    check(E.gt(world.state.amount["C2.1"], 0), "Winners and peaceful progress reach next stage")
     invariants(world)
     dispose(world)
 
     world = fixture()
-    world.state.amount.RD = 1.0
-    world.state.binds.RD = {"HP": 5.0, "GG": 5.0, "AB": 5.0, "RP": 5.0}
-    seed_population(world, "C1.6", 60000.0)
-    for row: Dictionary in global.CivilizationRules["C1.6"].ethics.values(): row.degradation = "0"
-    world._evolve_batches(world.state, 1.0)
-    var after: Dictionary = world._physical_amounts(world.state)
-    check(world.state.civilization_stats.colonies == 20.0, "Colonization limited to real targets")
-    check(after.HP + after.GG + after.AB + after.RP == 0.0, "Colonized objects consumed once")
-    check(world.state.binds.RD.get("C1.4", 0.0) == 20.0, "Colonies retain target host and use two-stages-earlier level")
-    var totals: float = 0.0
+    world.state.amount.RD = 1
+    world.state.binds.RD = {"HP": 5, "GG": 5, "AB": 5, "RP": 5}
+    seed_population(world, "C1.6", 60000)
+    for row : Dictionary in global.CivilizationRules["C1.6"].ethics.values(): row.degradation = "0"
+    world.evolution.evolve_batches(world.state, 1)
+    var after: Dictionary = world.ledger.physical_amounts(world.state)
+    check(E.eq(world.state.civilization_stats.colonies, 20), "Colonization limited to real targets")
+    check(E.eq(E.add(E.add(E.add(after.HP, after.GG), after.AB), after.RP), 0), "Colonized objects consumed once")
+    check(E.eq(world.state.binds.RD.get("C1.4", 0), 20), "Colonies retain target host and use two-stages-earlier level")
+    var totals: Variant = 0
     for id in after:
-        if world.entities[id].group_as == "Planet": totals += after[id]
-    check(totals == 60020.0, "Colonization replaces planets, does not create extra worlds")
+        if E.eq(world.catalog.entities[id].group_as, "Planet"): totals = E.add(totals, after[id])
+    check(E.eq(totals, 60020), "Colonization replaces planets, does not create extra worlds")
     invariants(world)
     dispose(world)
 
     global.CivilizationRules = baseline.duplicate(true)
     world = fixture()
-    world.state.amount.RD = 1e25
-    world.state.amount.BG = 1e25
-    world.state.amount.TWD = 1e25
-    world.state.amount.SNS = 1e25
-    world.state.amount.MGT = 1e25
-    world.state.amount.BH25 = 1e25
-    world.state.amount.SMBH = 1e26
-    for id in world.entities:
-        if world.entities[id].claim != "": world.state.amount[id] = 1e12
+    world.state.amount.RD = E.of("1e25")
+    world.state.amount.BG = E.of("1e25")
+    world.state.amount.TWD = E.of("1e25")
+    world.state.amount.SNS = E.of("1e25")
+    world.state.amount.MGT = E.of("1e25")
+    world.state.amount.BH25 = E.of("1e25")
+    world.state.amount.SMBH = E.of("1e26")
+    for id in world.catalog.entities:
+        if E.ne(world.catalog.entities[id].claim, ""): world.state.amount[id] = E.of("1e12")
     # Accelerated deterministic fixture traverses every enabled stage, including Ct.
     for id in global.CivilizationRules:
-        if id == "Ct": continue
+        if E.eq(id, "Ct"): continue
         global.CivilizationRules[id].fights = false
         global.CivilizationRules[id].colonizes = false
         global.CivilizationRules[id].diplomacy = false
-        for row: Dictionary in global.CivilizationRules[id].ethics.values():
+        for row : Dictionary in global.CivilizationRules[id].ethics.values():
             row.progress = "1"
             row.degradation = "0"
-        world.entities[id].lifespan = 1.0
-        world.entities[id].lifespan_delta = 1.0
-        global.CivilizationRules[id].span = 1.0
-    seed_population(world, "C0.2", 6.0)
-    world._evolve_batches(world.state, 1000.0)
-    check(world.state.amount.Ct == 6.0, "Complete C0.2 -> C4.4 -> Ct chain runs")
-    check(not world.state.batches.has("Ct"), "Transcendence is terminal")
+        world.catalog.entities[id].lifespan = 1
+        world.catalog.entities[id].lifespan_delta = 1
+        global.CivilizationRules[id].span = 1
+    seed_population(world, "C0.2", 6)
+    world.evolution.evolve_batches(world.state, 1000)
+    check(E.eq(world.state.amount.Ct, 6), "Complete C0.2 -> C4.4 -> Ct chain runs")
+    check((not world.state.batches.has("Ct")), "Transcendence is terminal")
     invariants(world)
     dispose(world)
     global.CivilizationRules = baseline
 
     world = fixture()
-    world.state.amount.RD = 10000.0
-    world.state.amount.SCS = 1.0
-    world.state.amount["C2.4"] = 1.0
-    world.initialize_life_batches()
-    var span: float = world.state.batches["C2.4"][0].start_year
-    check(is_equal_approx(span, 20000.0 / 3.6), "Structure bonus shortens newly registered lifespan")
+    world.state.amount.RD = 10000
+    world.state.amount.SCS = 1
+    world.state.amount["C2.4"] = 1
+    world.evolution.initialize_life_batches()
+    var span: Variant = world.state.batches["C2.4"][0].start_year
+    check(E.near(span, E.divide(20000, E.of("3.6"))), "Structure bonus shortens newly registered lifespan")
     dispose(world)
     var evolution = load("res://world/owniverse/civilization_evolution.gd")
-    var balanced: Dictionary = {"m": 10000.0, "l": 10000.0, "w": 10000.0, "d": 10000.0, "c": 10000.0, "b": 10000.0}
+    var balanced: Dictionary = {"m": 10000, "l": 10000, "w": 10000, "d": 10000, "c": 10000, "b": 10000}
     var neutral: Dictionary = evolution.drift({}, "test", balanced, global.CivilizationRules["C2.0"].ethics)
     var diplomatic: Dictionary = evolution.drift({}, "test", balanced, global.CivilizationRules["C2.0"].ethics, true)
-    check(neutral == balanced, "Ordinary drift preserves balanced ethics")
-    check(diplomatic.d > diplomatic.w, "Diplomacy uses per-ethic influence")
-    check(evolution.total(diplomatic) == 60000.0, "Diplomacy conserves population")
+    check(E.eq(neutral, balanced), "Ordinary drift preserves balanced ethics")
+    check(E.gt(diplomatic.d, diplomatic.w), "Diplomacy uses per-ethic influence")
+    check(E.eq(evolution.total(diplomatic), 60000), "Diplomacy conserves population")
 
     world = fixture()
-    world.state.amount.RD = 1e15
-    world.state.amount.BG = 1e15
-    world.state.amount["C3.0"] = 6.0
-    world.initialize_life_batches()
-    check(world.state.amount["C3.0"] == 0.0 and world.state.amount["C2.9"] == 6.0, "Missing mandatory structures degrade existing civilizations")
+    world.state.amount.RD = E.of("1e15")
+    world.state.amount.BG = E.of("1e15")
+    world.state.amount["C3.0"] = 6
+    world.evolution.initialize_life_batches()
+    check((E.eq(world.state.amount["C3.0"], 0) and E.eq(world.state.amount["C2.9"], 6)), "Missing mandatory structures degrade existing civilizations")
     invariants(world)
     dispose(world)
-    print("Civilization evolution: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("Civilization evolution: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_civilization_state.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 const Clock = preload("res://world/owniverse/simulation_time.gd")
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -17,118 +18,118 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
 func run() -> void:
     var world = fixture()
     var global: Node = root.get_node("Global")
-    check(global.CivilizationRules.size() == 44, "Load all ethical civilization stages")
-    for row: Dictionary in global.CivilizationRules.values():
-        check(row.ethics.size() == 6 or row.span == 0.0, "Every ethical stage has six rules")
-    world.state.amount.RD = 12.0
-    world.state.amount["C0.2"] = 8.0
-    world.state.binds.RD = {"C2.0": 12.0, "C1.9": 3.0}
-    world.initialize_life_batches()
-    check(world.state.amount["C2.0"] == 12.0 and world.state.binds.RD["C2.0"] == 0.0, "Old space civilizations detach without loss")
-    check(world.state.binds.RD["C1.9"] == 3.0, "Planetary civilizations retain their host")
-    check(world.state.ethics["C0.2"] == {"m": 2.0, "l": 2.0, "w": 1.0, "d": 1.0, "c": 1.0, "b": 1.0}, "Migration uses equal ethics and deterministic remainder")
-    check(world.state.ethics["C2.0"].values().all(func(n): return n == 2.0), "Bound civilization ethics count physical population")
+    check(E.eq(global.CivilizationRules.size(), 44), "Load all ethical civilization stages")
+    for row : Dictionary in global.CivilizationRules.values():
+        check((E.eq(row.ethics.size(), 6) or E.eq(row.span, 0)), "Every ethical stage has six rules")
+    world.state.amount.RD = 12
+    world.state.amount["C0.2"] = 8
+    world.state.binds.RD = {"C2.0": 12, "C1.9": 3}
+    world.evolution.initialize_life_batches()
+    check((E.eq(world.state.amount["C2.0"], 12) and E.eq(world.state.binds.RD["C2.0"], 0)), "Old space civilizations detach without loss")
+    check(E.eq(world.state.binds.RD["C1.9"], 3), "Planetary civilizations retain their host")
+    check(E.eq(world.state.ethics["C0.2"], {"m": 2, "l": 2, "w": 1, "d": 1, "c": 1, "b": 1}), "Migration uses equal ethics and deterministic remainder")
+    check(world.state.ethics["C2.0"].values().all(func ( n ) : return E.eq(n, 2)), "Bound civilization ethics count physical population")
     var before: Dictionary = world.state.duplicate(true)
-    world.initialize_life_batches()
-    check(world.state == before, "Repeated initialization preserves ethics")
-    world.state.ethics["C0.2"] = {"m": 8.0, "l": 0.0, "w": 0.0, "d": 0.0, "c": 0.0, "b": 0.0}
-    world.initialize_life_batches()
-    check(world.state.ethics["C0.2"].m == 8.0, "Existing unequal distribution is retained")
-    world.state.amount["C0.2"] = 3.0
-    world.initialize_life_batches()
-    check(world.state.ethics["C0.2"].m == 3.0, "Losses reduce ethics without inventing population")
-    check(root.get_node("SaveManager").validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Ethics state validates")
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state, before), "Repeated initialization preserves ethics")
+    world.state.ethics["C0.2"] = {"m": 8, "l": 0, "w": 0, "d": 0, "c": 0, "b": 0}
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state.ethics["C0.2"].m, 8), "Existing unequal distribution is retained")
+    world.state.amount["C0.2"] = 3
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state.ethics["C0.2"].m, 3), "Losses reduce ethics without inventing population")
+    check(E.eq(root.get_node("SaveManager").validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Ethics state validates")
     var restored = fixture()
-    restored.state = bytes_to_var(var_to_bytes(world.state))
-    restored.initialize_life_batches()
-    check(restored.state == world.state, "Save roundtrip preserves ethics and ownership")
+    restored.state = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
+    restored.evolution.initialize_life_batches()
+    check(E.eq(restored.state, world.state), "Save roundtrip preserves ethics and ownership")
     dispose(restored)
     dispose(world)
     world = fixture()
-    world.state.amount.RD = 10.0
-    for row: Dictionary in global.CivilizationRules["C1.9"].ethics.values():
+    world.state.amount.RD = 10
+    for row : Dictionary in global.CivilizationRules["C1.9"].ethics.values():
         row.progress = "1"
         row.degradation = "0"
         row.colonization = "0"
-    world.state.binds.RD = {"C1.9": 10.0}
-    world.state.batches["C1.9"] = [{"amount": 10.0, "start_year": 1.0, "end_year": 1.0}]
-    world._evolve_batches(world.state, 1.0)
-    check(world.state.amount["C2.0"] == 10.0 and world.state.binds.RD.get("C2.0", 0.0) == 0.0, "Space successor does not inherit planetary binding")
+    world.state.binds.RD = {"C1.9": 10}
+    world.state.batches["C1.9"] = [{"amount": 10, "start_year": 1, "end_year": 1}]
+    world.evolution.evolve_batches(world.state, 1)
+    check((E.eq(world.state.amount["C2.0"], 10) and E.eq(world.state.binds.RD.get("C2.0", 0), 0)), "Space successor does not inherit planetary binding")
     dispose(world)
     var capacity = load("res://world/owniverse/civilization_state.gd")
     world = fixture()
-    world.state.amount.RD = 10.0
-    world.state.amount["C2.0"] = 8.0
+    world.state.amount.RD = 10
+    world.state.amount["C2.0"] = 8
     var budget: Dictionary = capacity.stellar_budget(world, world.state, global.CivilizationRules)
-    check(capacity.admit_transition(budget, global.CivilizationRules, "C1.9", "C2.0", 5.0) == 2.0, "Growth consumes only remaining stellar capacity")
-    check(capacity.admit_transition(budget, global.CivilizationRules, "C1.9", "C2.0", 5.0) == 0.0, "A reservation cannot be spent twice")
-    world.state.amount["C2.0"] = 1.0
+    check(E.eq(capacity.admit_transition(budget, global.CivilizationRules, "C1.9", "C2.0", 5), 2), "Growth consumes only remaining stellar capacity")
+    check(E.eq(capacity.admit_transition(budget, global.CivilizationRules, "C1.9", "C2.0", 5), 0), "A reservation cannot be spent twice")
+    world.state.amount["C2.0"] = 1
     budget = capacity.stellar_budget(world, world.state, global.CivilizationRules)
-    check(capacity.admit_transition(budget, global.CivilizationRules, "C2.0", "C2.1", 1.0) == 1.0, "A transition reuses the source reservation")
-    check(budget.free.DwStar == 0.0, "C2.1 reserves ten dwarf stars")
-    world.state.amount["C2.0"] = 0.0
-    world.state.binds.SC = {"RD": 10.0}
+    check(E.eq(capacity.admit_transition(budget, global.CivilizationRules, "C2.0", "C2.1", 1), 1), "A transition reuses the source reservation")
+    check(E.eq(budget.free.DwStar, 0), "C2.1 reserves ten dwarf stars")
+    world.state.amount["C2.0"] = 0
+    world.state.binds.SC = {"RD": 10}
     budget = capacity.stellar_budget(world, world.state, global.CivilizationRules)
-    check(budget.capacity.DwStar == 20.0, "Stars inside structures are counted once")
+    check(E.eq(budget.capacity.DwStar, 20), "Stars inside structures are counted once")
     dispose(world)
 
     world = fixture()
-    world.state.amount.RD = 12.0
-    world.state.amount["C2.1"] = 2.0
-    world.state.amount["C2.0"] = 5.0
-    world.initialize_life_batches()
-    check(world.state.amount["C2.1"] == 1.0 and world.state.amount["C2.0"] == 2.0, "Shared budget supports advanced civilizations first")
-    check(world.state.binds.RD["C1.9"] == 4.0, "Excess cascades to supported planetary stage")
+    world.state.amount.RD = 12
+    world.state.amount["C2.1"] = 2
+    world.state.amount["C2.0"] = 5
+    world.evolution.initialize_life_batches()
+    check((E.eq(world.state.amount["C2.1"], 1) and E.eq(world.state.amount["C2.0"], 2)), "Shared budget supports advanced civilizations first")
+    check(E.eq(world.state.binds.RD["C1.9"], 4), "Excess cascades to supported planetary stage")
     var snapshot: Dictionary = world.state.duplicate(true)
-    world.initialize_life_batches()
-    check(world.state == snapshot, "Capacity enforcement is idempotent")
-    world.state.amount.RD = 0.0
-    world.initialize_life_batches()
-    check(world.state.amount["C2.1"] == 0.0 and world.state.amount["C2.0"] == 0.0, "Vanished stars force all unsupported space civilizations down")
-    check(world._physical_amounts(world.state)["C1.9"] == 7.0, "Forced degradation conserves civilizations")
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state, snapshot), "Capacity enforcement is idempotent")
+    world.state.amount.RD = 0
+    world.evolution.initialize_life_batches()
+    check((E.eq(world.state.amount["C2.1"], 0) and E.eq(world.state.amount["C2.0"], 0)), "Vanished stars force all unsupported space civilizations down")
+    check(E.eq(world.ledger.physical_amounts(world.state)["C1.9"], 7), "Forced degradation conserves civilizations")
     dispose(world)
 
     world = fixture()
-    world.state.amount.LGW = 20.0
-    world.state.amount.SMBH = 2.0e22
-    world.state.amount["C4.2"] = 3.0
-    world.initialize_life_batches()
-    check(world.state.amount["C4.2"] == 2.0, "SMBH capacity uses stellar mass equivalent")
-    check(world._physical_amounts(world.state)["C1.9"] == 1.0, "Unsupported civilization degrades through missing habitat families")
-    check(root.get_node("SaveManager").validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Capacity-limited state validates")
+    world.state.amount.LGW = 20
+    world.state.amount.SMBH = E.of("2.0e22")
+    world.state.amount["C4.2"] = 3
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state.amount["C4.2"], 2), "SMBH capacity uses stellar mass equivalent")
+    check(E.eq(world.ledger.physical_amounts(world.state)["C1.9"], 1), "Unsupported civilization degrades through missing habitat families")
+    check(E.eq(root.get_node("SaveManager").validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Capacity-limited state validates")
     dispose(world)
 
     world = fixture()
-    world.state.amount.RD = 2.0
-    for row: Dictionary in global.CivilizationRules["C1.9"].ethics.values():
+    world.state.amount.RD = 2
+    for row : Dictionary in global.CivilizationRules["C1.9"].ethics.values():
         row.progress = "1"
         row.degradation = "0"
         row.colonization = "0"
-    world.state.binds.RD = {"C1.9": 5.0}
-    world.state.batches["C1.9"] = [{"amount": 5.0, "start_year": 1.0, "end_year": 1.0}]
-    world._evolve_batches(world.state, 1.0)
-    check(world.state.amount["C2.0"] == 2.0 and world.state.binds.RD["C1.9"] == 3.0, "Unfunded transition retains the original planetary civilization")
+    world.state.binds.RD = {"C1.9": 5}
+    world.state.batches["C1.9"] = [{"amount": 5, "start_year": 1, "end_year": 1}]
+    world.evolution.evolve_batches(world.state, 1)
+    check((E.eq(world.state.amount["C2.0"], 2) and E.eq(world.state.binds.RD["C1.9"], 3)), "Unfunded transition retains the original planetary civilization")
     dispose(world)
-    print("Civilization state: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("Civilization state: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_descriptions.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 const Clock = preload("res://world/owniverse/simulation_time.gd")
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -17,21 +18,21 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
@@ -39,39 +40,39 @@ func run() -> void:
     var global: Node = root.get_node("Global")
     var description = load("res://world/owniverse/item_description.gd")
     var world = fixture()
-    world.state.amount.H = 8.0
-    world.state.amount.He = 2.0
+    world.state.amount.H = 8
+    world.state.amount.He = 2
     for locale in ["en", "ru"]:
         global.Locale = locale
         var text: String = description.render(world, global, "RD")
-        check(text.contains("[b]") and not text.contains("%value"), "Localized template resolved: " + locale)
-        check(text.contains("#40cc40"), "Affordable cost green: " + locale)
-        check(text.contains("4.0000E+10"), "Lifespan substituted: " + locale)
+        check((text.contains("[b]") and (not text.contains("%value"))), E.add("Localized template resolved: ", locale))
+        check(text.contains("#40cc40"), E.add("Affordable cost green: ", locale))
+        check(text.contains("40 000 000 000"), E.add("Lifespan substituted: ", locale))
         text = description.render(world, global, "He")
-        check(text.contains("He: 20.00% / H: 80.00%") and not text.contains("%value"), "Helium metadata and mixture: " + locale)
+        check((text.contains("He: 20.00% / H: 80.00%") and (not text.contains("%value"))), E.add("Helium metadata and mixture: ", locale))
         text = description.render(world, global, "Shovelin", "Force")
-        check(text.count("]—[/color]") == 4, "Missing force levels use dash: " + locale)
+        check(E.eq(text.count("]—[/color]"), 4), E.add("Missing force levels use dash: ", locale))
         text = description.render(world, global, "YD")
-        check(text.contains("#ff6060"), "Insufficient cost red: " + locale)
+        check(text.contains("#ff6060"), E.add("Insufficient cost red: ", locale))
     var reordered: Dictionary = {"text": "%value0% / %value1%", "value0": "lifespan", "value1": "amount"}
-    check(global.render_template(reordered, {"amount": "12", "lifespan": "99"}) == "99 / 12", "Metadata chooses variables, not fixed argument positions")
-    world.state.amount.RD = 2.0
-    world.state.binds.G = {"RD": 3.0, "HP": 7.0}
-    var values: Dictionary = description.variables(world, global, "RD", -2.0)
-    check(values.amount.contains("2") and values.amount.contains("(5)") and values.amount.contains("#888888"), "Free and total counts with gray binding total")
-    check(values.amount.contains("#ff6060") and values.amount.contains("−2.0"), "Real-time decrease red")
+    check(E.eq(global.render_template(reordered, {"amount": "12", "lifespan": "99"}), "99 / 12"), "Metadata chooses variables, not fixed argument positions")
+    world.state.amount.RD = 2
+    world.state.binds.G = {"RD": 3, "HP": 7}
+    var values: Dictionary = description.variables(world, global, "RD", E.neg(2))
+    check(((values.amount.contains("2") and values.amount.contains("(5)")) and values.amount.contains("#888888")), "Free and total counts with gray binding total")
+    check((values.amount.contains("#ff6060") and values.amount.contains("−2.0")), "Real-time decrease red")
     values = description.variables(world, global, "HP")
-    check(values.amount == "7", "Planet description includes bound planets")
-    world.state.amount.EON1 = 2.0
-    world.state.binds.G.EON2 = 3.0
+    check(E.eq(values.amount, "7"), "Planet description includes bound planets")
+    world.state.amount.EON1 = 2
+    world.state.binds.G.EON2 = 3
     var saved_state: Dictionary = world.state.duplicate(true)
-    var counters: Dictionary = world.get_item_amounts()
-    check(counters.HP == 7.0 and counters.LP == 5.0 and counters.Planet == 12.0, "Planet counters include bound objects and aggregate eons")
-    check(counters.RD == 2.0, "Star counters retain available quantity")
-    check(world.state == saved_state, "Reading counters does not mutate simulation")
-    check(world.get_item_amounts(true).HP == 0.0, "Produced counters remain independent of current population")
-    values = description.variables(world, global, "RD", 2.0)
-    check(values.amount.contains("#40cc40") and values.amount.contains("+2.0"), "Increase green")
+    var counters: Dictionary = world.presentation.amounts(world.state, world.catalog)
+    check(((E.eq(counters.HP, 7) and E.eq(counters.LP, 5)) and E.eq(counters.Planet, 12)), "Planet counters include bound objects and aggregate eons")
+    check(E.eq(counters.RD, 2), "Star counters retain available quantity")
+    check(E.eq(world.state, saved_state), "Reading counters does not mutate simulation")
+    check(E.eq(world.presentation.amounts(world.state, world.catalog, true).HP, 0), "Produced counters remain independent of current population")
+    values = description.variables(world, global, "RD", 2)
+    check((values.amount.contains("#40cc40") and values.amount.contains("+2.0")), "Increase green")
     var stage_script = load("res://stage/stage.gd")
     check(stage_script.can_instantiate(), "Stage integration compiles")
     var stage = stage_script.new()
@@ -81,9 +82,9 @@ func run() -> void:
     stage.g_item_descriptions = [label]
     stage.description_targets[0] = {"id": "RD", "category": "Entity"}
     stage._refresh_descriptions()
-    check(label.bbcode_enabled and label.text.contains("Красный карлик"), "Stage displays localized rich text")
+    check((label.bbcode_enabled and label.text.contains("Красный карлик")), "Stage displays localized rich text")
     stage._update_descriptions(0.25)
-    world.state.amount.RD += 1.0
+    world.state.amount.RD = E.add(world.state.amount.RD, 1)
     stage._update_descriptions(0.25)
     check(label.text.contains("+4.0"), "Selected description refreshes with rate per real second")
     global.Locale = "en"
@@ -92,5 +93,5 @@ func run() -> void:
     label.free()
     stage.free()
     dispose(world)
-    print("Descriptions: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("Descriptions: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_dynamic_math.gd

@@ -0,0 +1,72 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+const B = preload("res://world/owniverse/math/big_integer.gd")
+var checks: int = 0
+var failures: int = 0
+
+func verify(condition: bool, label: String):
+    checks += 1
+    if not condition:
+        failures += 1
+        push_error(label)
+
+func _initialize():
+    call_deferred("run")
+
+func run():
+    var rng = RandomNumberGenerator.new()
+    rng.seed = 619
+    for trial in 300:
+        var n: int = rng.randi_range(0, 100)
+        var m: int = rng.randi_range(1, 100)
+        var a: int = rng.randi_range(0, 1000)
+        var b: int = rng.randi_range(0, 1000)
+        var expected: int = 0
+        for i in n: expected += (a * i + b) / m
+        verify(E.eq(E.floor_sum(n, a, b, m), expected), "floor sum matches explicit windows")
+    var huge = E.of("1e40")
+    verify(E.lt(E.of("1e1000"), INF), "finite huge number is below positive infinity")
+    verify(E.gt(E.of("-1e1000"), -INF), "finite huge negative number is above negative infinity")
+    verify(E.gt(INF, E.of("1e1000")), "positive infinity is above finite huge number")
+    verify(not E.eq(E.of("1e1000"), INF), "huge number is not infinity")
+    verify(E.eq(E.floor_sum(huge, 2, 1, 2), E.divide(E.multiply(huge, E.subtract(huge, 1)), 2)), "floor sum supports huge window counts")
+    var rows = JSON.parse_string(FileAccess.get_file_as_string("res://tests/fixtures/big_integer_oracle.json"))
+    for row in rows:
+        var a: Array = B.parse(row[0])
+        var b: Array = B.parse(row[1])
+        var qr: Array = B.divmod(a, b)
+        verify(B.decimal(B.add(a, b)) == row[2], "independent big sum")
+        verify(B.decimal(B.multiply(a, b)) == row[3], "independent big product")
+        verify(B.decimal(qr[0]) == row[4], "independent big quotient")
+        verify(B.decimal(qr[1]) == row[5], "independent big remainder")
+        verify(E.fixed(E.multiply(E.of(row[0]), E.of(row[1]))) == row[3], "dynamic product")
+        verify(E.eq(E.mul_div(E.of(row[0]), E.of(row[1]), E.of(row[1])), E.of(row[0])), "fused conservation")
+    for text in ["9223372036854775807", "-9223372036854775808", "9223372036854775808", "-9223372036854775809", "1e300", "1e1000"]:
+        var n = E.of(text)
+        verify(E.eq(E.subtract(E.add(n, 1), n), 1), "unit preserved at " + text)
+        verify(E.eq(E.decode(JSON.parse_string(JSON.stringify(E.encode(n)))), n), "round trip " + text)
+    for text in ["1.25", "-1.25", "123.5"]:
+        verify(E.approx(E.of(text)) == float(text), "approx fraction " + text)
+    verify(not E.valid_encoded({"$exact": [[], "0000000000000000", 1]}), "reject empty blocks")
+    verify(not E.valid_encoded({"$exact": [[1, 0], "0000000000000000", 1]}), "reject noncanonical blocks")
+    verify(E.gt(E.power(E.of("1e400"), -1), 0) == false, "float fraction underflows beyond its range")
+    verify(absf(E.approx(E.logarithm(E.of("1e1000"))) - 1000 * log(10.0)) < 1e-8, "logarithm beyond float range")
+    verify(E.eq(E.square_root(E.of("1e1000")), E.of("1e500")), "square root beyond float range")
+    var world = load("res://world/owniverse/owniverse.gd").new()
+    world.catalog.load_definitions(root.get_node("Global").OwniverseEntities)
+    for id in world.catalog.entities:
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        var group: String = world.catalog.entities[id].group_as
+        if group != "":
+            world.state.amount[group] = 0
+            world.state.stats.total_amount[group] = 0
+    world.state.amount.H = E.of("1e1000")
+    world.state.amount.S = E.of("1e1000")
+    var environment: Dictionary = world.environment.stellar_environment(world.state)
+    verify(E.finite(environment.density) and E.gt(environment.density, 0), "huge density remains finite")
+    verify(E.near(environment.blast, 1), "huge geometric ratio stays valid")
+    for entity in world.catalog.entities.values(): entity.free()
+    world.free()
+    print("Dynamic math: %d checks, %d failures" % [checks, failures])
+    quit(1 if failures else 0)

tests/test_dynamic_math.gd.uid

@@ -0,0 +1 @@
+uid://8vkudj0tlnng

tests/test_exact_math.gd

@@ -0,0 +1,101 @@
+extends SceneTree
+
+const E = preload("res://world/owniverse/math/exact.gd")
+const Q = preload("res://world/owniverse/quantity_math.gd")
+const Clock = preload("res://world/owniverse/simulation_time.gd")
+var checks: int = 0
+var failures: int = 0
+
+func _initialize():
+    call_deferred("run")
+
+func check(actual, expected: String, label: String):
+    checks += 1
+    if str(actual) != expected:
+        failures += 1
+        push_error(label + ": " + str(actual) + " != " + expected)
+
+func check_number(actual, expected: String, label: String):
+    var reference = E.of(expected)
+    checks += 1
+    if E.gt(E.absolute(E.subtract(actual, reference)), E.of("1e-12")):
+        failures += 1
+        push_error(label + ": " + str(actual) + " != " + expected)
+
+func run():
+    # Expected strings were generated independently with Python fractions.Fraction.
+    var cases = JSON.parse_string(FileAccess.get_file_as_string("res://tests/fixtures/exact_oracle.json"))
+    for row in cases:
+        var a = E.of(row[0])
+        var b = E.of(row[1])
+        check_number(E.add(a, b), row[2], "sum")
+        check_number(E.subtract(a, b), row[3], "difference")
+        check_number(E.multiply(a, b), row[4], "product")
+        check_number(E.divide(a, b), row[5], "quotient")
+        check(E.floor_value(E.divide(a, b)), row[6], "floor")
+    for text in ["9223372036854775807", "-9223372036854775808", "9007199254740993", "1000000000000000000000000001", "-1/10000000000000"]:
+        var value = E.of(text)
+        check(E.eq(E.decode(JSON.parse_string(JSON.stringify(E.encode(value)))), value), "true", "JSON round trip")
+    check(E.add(E.of("9223372036854775807"), 1), "9223372036854775808", "int64 overflow promoted")
+    check(E.subtract(E.of("-9223372036854775808"), 1), "-9223372036854775809", "int64 underflow promoted")
+    check(Q.production_step([E.of("1e27")]), "1", "large integral recipe")
+    check(Q.production_step([E.of("1e-13")]), "10000000000000", "tiny fractional recipe")
+    var count = E.of("1000000000000000000000000001")
+    var allocation = Q.allocate_whole({"a": count, "b": count, "c": count}, count)
+    check(Q.sum(allocation), str(count), "allocation conserves every unit")
+    check(allocation.a, "333333333333333333333333334", "deterministic remainder")
+    var clock = Clock.advance({"datetime": E.of("1e27")}, 0.000000001, 1)
+    check_number(E.subtract(clock.datetime, E.of("1e27")), "1/1000000000", "single tick at huge age")
+    var world = load("res://world/owniverse/owniverse.gd").new()
+    world.catalog.load_definitions(root.get_node("Global").OwniverseEntities)
+    for id in world.catalog.entities:
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        var group: String = world.catalog.entities[id].group_as
+        if group != "":
+            world.state.amount[group] = 0
+            world.state.stats.total_amount[group] = 0
+    world.production.produce_hs("H", 1)
+    check(world.state.energy, "999999999999999999999999999", "spend one energy")
+    var life = world.life.life_products(world.state, world.catalog.entities.EON5, count)
+    check(Q.sum(life), str(count), "life conservation at 1e27")
+    check(E.bounded(count), str(count), "integer counts never quantized")
+    check(E.mul_div(E.of("1e27"), 15, 100), "150000000000000000000000000", "exact percentage")
+    check(E.mul_div(count, count, count), str(count), "fused product beyond storage range")
+    var limit = E.of("1e27")
+    check(E.floor_value(E.mul_div(E.subtract(limit, 1), E.subtract(limit, 3), E.subtract(limit, 2))), "999999999999999999999999997", "fused ratio immediately below whole boundary")
+    check(E.floor_value(E.divide(E.MIN_INT, -3)), "3074457345618258602", "MIN_INT division preserves quotient")
+    check(E.floor_value(E.divide(-10, 3)), "-4", "native negative fractional division")
+    check(E.mul_div(E.MAX_INT, 0, 7), "0", "native zero fused product")
+    check(E.subtract(E.add(count, 1), count), "1", "single unit at E27")
+    check(E.floor_value(E.divide(E.subtract(count, 1), count)), "0", "division must not round up a whole object")
+    check(E.fixed(E.add(count, E.of("0.125")), 3), "1000000000000000000000000001.125", "formatting without oversized intermediate")
+    check(E.scientific(E.of("9.999999e27"), 2), "1.00E+28", "display rounding at upper boundary")
+    check(absf(E.approx(E.power(10, -100)) / E.approx(E.of("1e-100")) - 1.0) < 1e-15, "true", "negative power retains float precision without huge intermediate")
+    var largest = E.of("9999999999999999999999999999")
+    check(E.eq(E.decode(E.encode(largest)), largest), "true", "upper range round trip")
+    check(E.valid_encoded(E.encode(largest)), "true", "upper range encoding valid")
+    for tiny in ["1e-13", "1e-20", "1e-100", "1e-310"]:
+        var value = E.of(tiny)
+        check(E.gt(value, 0), "true", "tiny fraction remains nonzero")
+        check(E.eq(value, E.decode(JSON.parse_string(JSON.stringify(E.encode(value))))), "true", "tiny float round trip")
+    for invalid in [{"$fixed": ["0", "0", "ffffffffffffffff", 1]}, {"$fixed": ["0", "-1", "0000000000000000", 1]}, {"$exact": "1/3"}, {"$exact": "10000000000000000000000000000"}, 1e100]:
+        check(E.valid_encoded(invalid), "false", "reject invalid saved number")
+    world.state.amount.S = E.of("1e24")
+    world.state.amount.H = E.of("1e24")
+    world.state.amount.RD = 1234567
+    world.state.amount.YD = 765432
+    world.state.amount.STN = 654321
+    world.speed = 6
+    var started: int = Time.get_ticks_msec()
+    for i in 100:
+        world.state.amount.RD = E.add(world.state.amount.RD, i + 1)
+        world.evolute(0.1)
+        check(str(world.state.auto_star_deficits).length() < 500, "true", "fraction storage stays bounded")
+    print("100 changing-composition cycles: %d ms" % (Time.get_ticks_msec() - started))
+    var saves = root.get_node("SaveManager")
+    check(saves.validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), "", "long-running state saves")
+    for entity in world.catalog.entities.values(): entity.free()
+    world.free()
+    print("Exact math: %d checks, %d failures" % [checks, failures])
+    quit(0 if failures == 0 else 1)

tests/test_exact_math.gd.uid

@@ -0,0 +1 @@
+uid://wxhre4pgx1lb

tests/test_frame_evolution.gd

@@ -0,0 +1,100 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+const Clock = preload("res://world/owniverse/simulation_time.gd")
+const Fixture = preload("res://tests/fixtures/civilization_benchmark.gd")
+var checks: int = 0
+var failures: int = 0
+
+func _initialize(): call_deferred("run")
+func check(condition: bool, message: String):
+    checks += 1
+    if not condition:
+        failures += 1
+        push_error(message)
+func fixture():
+    var world = load("res://world/owniverse/owniverse.gd").new()
+    world.catalog.load_definitions(root.get_node("Global").OwniverseEntities)
+    Fixture.seed(world, root.get_node("Global"))
+    return world
+func dispose(world):
+    for entity in world.catalog.entities.values(): entity.free()
+    world.free()
+
+func run():
+    Engine.max_fps = 0
+    var direct = fixture()
+    var sliced = fixture()
+    for delta in [1.0 / 60.0, 0.133333333333]:
+        direct.evolute(delta)
+        var clock: Dictionary = Clock.advance(sliced.state.time, delta, sliced.speed)
+        var budget = load("res://world/owniverse/frame_budget.gd").new(self, 1)
+        await sliced.evolution.evolute_to_datetime(clock.datetime, clock, budget)
+        check(E.eq(direct.state, sliced.state), "Sliced transaction exactly matches uninterrupted evolution")
+    dispose(direct)
+    dispose(sliced)
+    direct = fixture()
+    sliced = fixture()
+    var initial_h: Variant = sliced.state.amount.H
+    sliced.evolute_frame(1.0 / 60.0, self)
+    check(sliced.frame_busy, "Heavy transaction yields before publishing")
+    check(E.eq(sliced.state.time.year, 0), "Published clock stays at completed transaction")
+    sliced.request_production("H", 1, true)
+    check(E.eq(sliced.state.amount.H, initial_h), "Player action waits for transaction commit")
+    sliced.evolute_frame(0.01, self)
+    var requested: Dictionary = sliced.frame_clock.duplicate()
+    sliced.speed = 3
+    check(sliced.speed == 3 and sliced.state.speed == 6, "Speed change is visible and cannot mutate an unfinished transaction")
+    while sliced.frame_busy: await process_frame
+    direct.evolute(1.0 / 60.0)
+    direct.production.produce_hs("H", 1)
+    direct.speed = 3
+    check(E.eq(direct.state, sliced.state), "Queued action and speed change survive publication")
+    sliced.evolute_frame(0.001, self)
+    var second_clock: Dictionary = Clock.advance(requested, 0.001, 3)
+    var active: Dictionary = sliced.frame_active_clock.duplicate()
+    while sliced.frame_busy: await process_frame
+    direct.evolution.evolute_to_datetime(active.datetime, active)
+    check(E.eq(direct.state, sliced.state), "Bounded frame transaction matches its exact target clock")
+    check(E.eq(sliced.frame_clock, second_clock), "All elapsed time during a busy frame remains in the requested clock")
+    check(sliced.frame_commits == 2, "Only complete simulation states are committed")
+    dispose(direct)
+    dispose(sliced)
+    var original = fixture()
+    original.evolute_frame(1.0 / 60.0, self)
+    original.request_production("H", 123, true)
+    original.evolute_frame(0.01, self)
+    original.speed = 3
+    var checkpoint: Dictionary = E.decode(E.encode(original.frame_checkpoint()))
+    var published: Dictionary = E.decode(E.encode(original.state))
+    var expected_clock: Dictionary = original.frame_active_clock.duplicate()
+    dispose(original)
+    for frame in 3: await process_frame
+    var resumed = fixture()
+    var expected = fixture()
+    resumed.state = published.duplicate(true)
+    expected.state = published.duplicate(true)
+    resumed.restore_frame_checkpoint(checkpoint)
+    resumed.evolute_frame(0.0, self)
+    while resumed.frame_busy: await process_frame
+    expected.evolution.evolute_to_datetime(expected_clock.datetime, expected_clock)
+    expected.production.produce_hs("H", 123)
+    expected.speed = 3
+    check(E.eq(expected.state, resumed.state), "Checkpoint recomputes interrupted transaction and preserves queued production")
+    check(E.eq(resumed.frame_clock, checkpoint.requested_clock), "Checkpoint preserves all requested elapsed time")
+    dispose(resumed)
+    dispose(expected)
+    var cancelled = fixture()
+    cancelled.evolute_frame(0.133333333333, self)
+    check(cancelled.frame_busy, "Cancellation fixture has suspended work")
+    var budget_ref: RefCounted = cancelled.frame_budget
+    dispose(cancelled)
+    for frame in 3: await process_frame
+    check(budget_ref.cancelled, "Resetting the world cancels suspended work without publishing")
+    var invalid = fixture()
+    var before: Dictionary = invalid.state.duplicate(true)
+    invalid.evolute_frame(1e308, self)
+    invalid.evolute(1e308)
+    check(not invalid.frame_busy and invalid.frame_clock.is_empty() and E.eq(before, invalid.state), "Overflowing elapsed float cannot enter either clock API")
+    dispose(invalid)
+    print("Frame evolution: %d checks, %d failures" % [checks, failures])
+    quit(1 if failures else 0)

tests/test_frame_evolution.gd.uid

@@ -0,0 +1 @@
+uid://te15r63sqhxs

tests/test_group_index.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 const Clock = preload("res://world/owniverse/simulation_time.gd")
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -17,42 +18,42 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
 func run() -> void:
     var world = fixture()
-    for id in world.entities:
+    for id in world.catalog.entities:
         var expected: Array = []
-        for key in world.entities:
-            if world.entities[key].group_as == id:
+        for key in world.catalog.entities:
+            if E.eq(world.catalog.entities[key].group_as, id):
                 expected.append(key)
-        check(world._is_group(id) == (not expected.is_empty()), "Group classification: " + id)
-        check(world._members(id) == (expected if not expected.is_empty() else [id]), "Group members: " + id)
-    var members: Array = world._members("Star")
+        check(E.eq(world.catalog.is_group(id), ((not expected.is_empty()))), E.add("Group classification: ", id))
+        check(E.eq(world.catalog.members(id), ((expected if (not expected.is_empty()) else [id]))), E.add("Group members: ", id))
+    var members: Array = world.catalog.members("Star")
     members.clear()
-    check(not world._members("Star").is_empty(), "Returned members are independent")
-    world.entities.N.group_as = "TestGroup"
-    world.rebuild_group_index()
-    check(world._members("TestGroup") == ["N"], "Explicit definition reload")
-    world.entities.N.free()
-    world.entities.erase("N")
-    check(not world._is_group("TestGroup"), "Removed definition invalidates index")
-    print("Group index: %d checks, %d failures" % [checks, failures])
+    check((not world.catalog.members("Star").is_empty()), "Returned members are independent")
+    world.catalog.entities.N.group_as = "TestGroup"
+    world.catalog.rebuild_group_index()
+    check(E.eq(world.catalog.members("TestGroup"), ["N"]), "Explicit definition reload")
+    world.catalog.entities.N.free()
+    world.catalog.entities.erase("N")
+    check((not world.catalog.is_group("TestGroup")), "Removed definition invalidates index")
+    print(("Group index: %d checks, %d failures" % [checks, failures]))
     dispose(world)
-    quit(1 if failures else 0)
+    quit((1 if failures else 0))

tests/test_life.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 const Clock = preload("res://world/owniverse/simulation_time.gd")
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -17,107 +18,107 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
 func run() -> void:
     var world = fixture()
-    world.state.amount.N = 0.0
-    world.state.amount.HP = 40000.0
-    world.initialize_life_batches()
-    check(world.state.batches.HP.size() == 1, "Old HP receives life cohort")
-    check(world.state.batches.HP[0].start_year == 5e6, "HP uses source span")
+    world.state.amount.N = 0
+    world.state.amount.HP = 40000
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state.batches.HP.size(), 1), "Old HP receives life cohort")
+    check(E.eq(world.state.batches.HP[0].start_year, 5000000), "HP uses source span")
     var before: Dictionary = world.state.duplicate(true)
-    world.initialize_life_batches()
-    check(world.state == before, "Initialization is idempotent")
-    world._evolve_batches(world.state, 5e6 + 5e6 / 40.0)
-    check(world.state.amount.EON1 == 10.0, "HP abiogenesis follows source probability")
-    check(world.state.amount.RP == 100.0, "HP degradation produces RP")
-    check(world.state.amount.HP == 39890.0, "Unchanged planets retry, not disappear")
-    check(world.state.stats.total_amount.HP == 0.0, "Retry does not inflate creation statistics")
-    check(world.state.batches.HP.size() > 0, "Survivors get next attempt")
-    var physical: Dictionary = world._physical_amounts(world.state)
-    check(physical.HP + physical.EON1 + physical.RP == 40000.0, "Life conserves planets")
-    check(root.get_node("SaveManager").validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Life save validates")
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state, before), "Initialization is idempotent")
+    world.evolution.evolve_batches(world.state, E.add(5000000, E.divide(5000000, 40)))
+    check(E.eq(world.state.amount.EON1, 10), "HP abiogenesis follows source probability")
+    check(E.eq(world.state.amount.RP, 100), "HP degradation produces RP")
+    check(E.eq(world.state.amount.HP, 39890), "Unchanged planets retry, not disappear")
+    check(E.eq(world.state.stats.total_amount.HP, 0), "Retry does not inflate creation statistics")
+    check(E.gt(world.state.batches.HP.size(), 0), "Survivors get next attempt")
+    var physical: Dictionary = world.ledger.physical_amounts(world.state)
+    check(E.eq(E.add(E.add(physical.HP, physical.EON1), physical.RP), 40000), "Life conserves planets")
+    check(E.eq(root.get_node("SaveManager").validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Life save validates")
     var restored = fixture()
-    restored.state = bytes_to_var(var_to_bytes(world.state))
-    world._evolve_batches(world.state, 11e6)
-    restored._evolve_batches(restored.state, 11e6)
-    check(world.state == restored.state, "Life continuation preserves cohorts and carries")
+    restored.state = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
+    world.evolution.evolve_batches(world.state, 11000000)
+    restored.evolution.evolve_batches(restored.state, 11000000)
+    check(E.eq(world.state, restored.state), "Life continuation preserves cohorts and carries")
     dispose(restored)
     dispose(world)
 
     world = fixture()
-    world.state.amount.RD = 1.0
-    world.state.binds.RD = {"EON5": 40000.0}
-    world.initialize_life_batches()
-    world._evolve_batches(world.state, 5e5 + 5e5 / 40.0)
-    check(world.state.binds.RD["C0.0"] == 10.0, "Intelligence emerges at the same host star")
-    check(world.state.amount["C0.0"] == 0.0, "Life transition keeps planet bound")
+    world.state.amount.RD = 1
+    world.state.binds.RD = {"EON5": 40000}
+    world.evolution.initialize_life_batches()
+    world.evolution.evolve_batches(world.state, E.add(500000, E.divide(500000, 40)))
+    check(E.eq(world.state.binds.RD["C0.0"], 10), "Intelligence emerges at the same host star")
+    check(E.eq(world.state.amount["C0.0"], 0), "Life transition keeps planet bound")
     check(world.state.batches.has("C0.0"), "New C0.0 starts civilization evolution")
     dispose(world)
 
     world = fixture()
-    var progress: float = 0.0
-    var degraded: float = 0.0
+    var progress: Variant = 0
+    var degraded: Variant = 0
     var valid_outcomes: bool = true
     for i in 4001:
-        var products: Dictionary = world._life_products(world.state, world.entities.HP, 1.0)
-        var total: float = 0.0
+        var products: Dictionary = world.life.life_products(world.state, world.catalog.entities.HP, 1)
+        var total: Variant = 0
         for value in products.values():
-            total += value
-            valid_outcomes = valid_outcomes and value >= 0.0 and value == floorf(value)
-        valid_outcomes = valid_outcomes and total == 1.0
-        progress += products.get("EON1", 0.0)
-        degraded += products.get("RP", 0.0)
+            total = E.add(total, value)
+            valid_outcomes = ((valid_outcomes and E.ge(value, 0)) and E.eq(value, E.floor_value(value)))
+        valid_outcomes = (valid_outcomes and E.eq(total, 1))
+        progress = E.add(progress, products.get("EON1", 0))
+        degraded = E.add(degraded, products.get("RP", 0))
     check(valid_outcomes, "Every single-planet attempt has whole outcomes and conserves population")
-    check(progress == 1.0 and degraded == 10.0, "Rare outcomes accumulate deterministically")
+    check((E.eq(progress, 1) and E.eq(degraded, 10)), "Rare outcomes accumulate deterministically")
     dispose(world)
 
     world = fixture()
-    world.state.time = {"datetime": 123.4, "year": 123.4}
-    world.state.binds.RD = {"HP": 2.0}
-    world.initialize_life_batches()
-    check(world.state.batches.HP[0].created_from == 123.4, "Old bound worlds begin life at load time")
-    world._destroy_planets(world.state, "RD", 1.0, 1)
-    world._evolve_batches(world.state, 1e7)
-    check(world._physical_amounts(world.state).HP == 0.0 and world.state.binds.RD.RP == 2.0, "Destroyed life does not resurrect from cohort")
+    world.state.time = {"datetime": E.of("123.4"), "year": E.of("123.4")}
+    world.state.binds.RD = {"HP": 2}
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state.batches.HP[0].created_from, E.of("123.4")), "Old bound worlds begin life at load time")
+    world.stellar.destroy_planets(world.state, "RD", 1, 1)
+    world.evolution.evolve_batches(world.state, 10000000)
+    check((E.eq(world.ledger.physical_amounts(world.state).HP, 0) and E.eq(world.state.binds.RD.RP, 2)), "Destroyed life does not resurrect from cohort")
     dispose(world)
     world = fixture()
-    world.state.time = {"datetime": 123.4, "year": 123.4}
-    world.state.amount["C0.0"] = 40000.0
-    world.initialize_life_batches()
-    check(world.state.batches["C0.0"][0].created_from == 123.4, "Civilization cohorts begin at the current time")
+    world.state.time = {"datetime": E.of("123.4"), "year": E.of("123.4")}
+    world.state.amount["C0.0"] = 40000
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state.batches["C0.0"][0].created_from, E.of("123.4")), "Civilization cohorts begin at the current time")
     before = world.state.duplicate(true)
-    world.initialize_life_batches()
-    check(world.state == before, "Life batch initialization is idempotent")
-    world._evolve_batches(world.state, 2173.4)
-    check(world.state.amount["C0.1"] == 700.0 and world.state.amount.EON5 == 1000.0, "C0.0 progresses and degrades by Unity rates")
-    check(world.state.amount["C0.0"] == 38300.0, "C0.0 remainder stays alive")
+    world.evolution.initialize_life_batches()
+    check(E.eq(world.state, before), "Life batch initialization is idempotent")
+    world.evolution.evolve_batches(world.state, E.of("2173.4"))
+    check((E.eq(world.state.amount["C0.1"], 700) and E.eq(world.state.amount.EON5, 1000)), "C0.0 progresses and degrades by Unity rates")
+    check(E.eq(world.state.amount["C0.0"], 38300), "C0.0 remainder stays alive")
     dispose(world)
     world = fixture()
-    world.state.amount.RD = 1.0
-    world.state.binds.RD = {"C0.1": 40000.0}
-    world.initialize_life_batches()
-    world._evolve_batches(world.state, 2050.0)
-    check(world.state.binds.RD["C0.2"] == 700.0, "C0.1 reaches ethical civilization without losing host")
-    check(world.state.binds.RD["C0.0"] == 1000.0, "C0.1 degradation follows Unity")
-    check(root.get_node("SaveManager").validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Extended life save validates")
+    world.state.amount.RD = 1
+    world.state.binds.RD = {"C0.1": 40000}
+    world.evolution.initialize_life_batches()
+    world.evolution.evolve_batches(world.state, 2050)
+    check(E.eq(world.state.binds.RD["C0.2"], 700), "C0.1 reaches ethical civilization without losing host")
+    check(E.eq(world.state.binds.RD["C0.0"], 1000), "C0.1 degradation follows Unity")
+    check(E.eq(root.get_node("SaveManager").validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Extended life save validates")
     dispose(world)
-    print("Life: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("Life: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_life_icons.gd

@@ -0,0 +1,69 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+
+var checks: int = 0
+var failures: int = 0
+
+func _initialize() -> void:
+    call_deferred("run")
+
+func check(value: bool, message: String) -> void:
+    checks = E.add(checks, 1)
+    if (not value):
+        failures = E.add(failures, 1)
+        push_error(message)
+
+func run() -> void:
+    var scene = load("res://world/world.tscn").instantiate()
+    var stage = scene.get_node("Stage")
+    stage.owniverse.free()
+    stage.set_script(load("res://tests/fixtures/ui_stage.gd"))
+    root.add_child(scene)
+    await process_frame
+    await process_frame
+    var world = stage.owniverse
+    world.state.binds.RD = {"EON1": 10, "EON2": 4, "C0.0": 3}
+    world.state.amount.EON1 = 2
+    world.state.stats.total_amount.EON1 = 12
+    world.state.stats.total_amount.EON2 = 4
+    world.state.stats.total_amount["C0.0"] = 3
+    var before: Dictionary = world.state.duplicate(true)
+    stage._refresh_universe_ui()
+    var counts: Dictionary = world.presentation.amounts(world.state, world.catalog)
+    check(((E.eq(counts.EON1, 12) and E.eq(counts.EON2, 4)) and E.eq(counts.LP, 16)), "Individual eons and their total include bound planets")
+    check(((E.eq(counts["C0.0"], 3) and E.eq(counts.C0, 3)) and E.eq(counts.Planet, 19)), "Civilization detail does not double the planetary total")
+    check((E.eq(world.presentation.amounts(world.state, world.catalog, true).EON1, 12) and E.eq(world.presentation.amounts(world.state, world.catalog, true).LP, 16)), "Historical counts retain individual and aggregate values")
+    check(E.eq(world.state, before), "Presentation does not modify simulation state")
+    var pending: Array = ["EON1", "EON2", "EON3", "C0.0"]
+    var pending_before: Array = pending.duplicate()
+    var decision: Dictionary = world.presentation.unlocks(world.state, world.catalog, pending)
+    check(E.eq(decision.remaining, ["EON3"]), "Only unmet requirements remain pending")
+    for id in ["EON1", "EON2", "LP", "C0.0", "C0"]:
+        check(decision.visible.has(id), E.add("Unlock projection includes detail and alias: ", id))
+    check((E.eq(pending, pending_before) and E.eq(world.state, before)), "Unlock evaluation leaves inputs untouched")
+    var snapshot: Dictionary = world.presentation.pending_amounts.duplicate()
+    world.presentation.deferred_updates = true
+    world.state.amount.EON1 = E.add(world.state.amount.EON1, 1)
+    world.presentation.refresh(world.state, world.catalog)
+    check((world.presentation.dirty and E.eq(world.presentation.pending_amounts, snapshot)), "Deferred refresh retains pending snapshot")
+    world.presentation.refresh(world.state, world.catalog, true)
+    check(((not world.presentation.dirty) and E.eq(world.presentation.pending_amounts.EON1, 13)), "Forced refresh publishes latest amounts")
+    world.state.amount.EON1 = E.subtract(world.state.amount.EON1, 1)
+    world.presentation.deferred_updates = false
+    world.presentation.refresh(world.state, world.catalog)
+    for id in ["EON1", "EON2", "LP", "C0.0", "C0"]:
+        check(stage.owniverse_items[id].visible, E.add("Unlock both levels: ", id))
+        check(E.ne(stage.owniverse_items[id].description.text, ""), E.add("Populate the icon counter: ", id))
+    check((not stage.owniverse_items.EON3.visible), "Unreached eon remains locked")
+    stage.item_activated(stage.owniverse_items.LP)
+    check(stage.owniverse_items.EON1.is_visible_in_tree(), "Selecting LP shows its unlocked eons")
+    stage.item_activated(stage.owniverse_items.C0)
+    check((stage.owniverse_items["C0.0"].is_visible_in_tree() and (not stage.owniverse_items.EON1.is_visible_in_tree())), "Selecting C0 switches the detail panel")
+    world.state.binds.RD.EON2 = 0
+    stage._refresh_universe_ui()
+    check((stage.owniverse_items.EON2.visible and E.eq(stage.owniverse_items.EON2.description.text, "")), "Previously reached stage stays unlocked after extinction with no stale count")
+    for entity in world.catalog.entities.values(): entity.free()
+    world.free()
+    scene.free()
+    print(("Life icons: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_life_icons.gd.uid

@@ -0,0 +1 @@
+uid://c4p1ad0ij32xo

tests/test_module_lifecycle.gd

@@ -0,0 +1,39 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+
+var checks: int = 0
+var failures: int = 0
+
+func _initialize() -> void:
+    call_deferred("run")
+
+func check(condition: bool, message: String) -> void:
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
+        push_error(message)
+
+func run() -> void:
+    var World = load("res://world/owniverse/owniverse.gd")
+    var first = World.new()
+    var second = World.new()
+    var names: Array = ["batches", "ledger", "production", "automatic", "stellar", "life", "environment", "evolution"]
+    var references: Array = []
+    for name in names:
+        check(E.ne(first.get(name), second.get(name)), E.add("World has its own ", name))
+        check(E.eq(first.get(name).world, first), E.add("Module refers to its owner: ", name))
+        references.append(weakref(first.get(name)))
+    first.state.amount.H = 123
+    first.presentation.pending_amounts.H = 123
+    check(((not second.state.amount.has("H")) and second.presentation.pending_amounts.is_empty()), "State and pending presentation are isolated")
+    first.free()
+    for reference in references:
+        check(E.eq(reference.get_ref(), null), "Module is released with its world")
+    check(E.eq(second.evolution.world, second), "Other world remains usable")
+    var snapshot: Dictionary = second.state.duplicate(true)
+    second.evolute(NAN)
+    second.evolute(E.neg(1))
+    check(E.eq(second.state, snapshot), "Entry point rejects invalid time deltas")
+    second.free()
+    print(("Module lifecycle: %d checks, %d failures" % [checks, failures]))
+    quit((1 if failures else 0))

tests/test_module_lifecycle.gd.uid

@@ -0,0 +1 @@
+uid://d2xk4ldldsgo3

tests/test_production_transaction.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 const Clock = preload("res://world/owniverse/simulation_time.gd")
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -17,42 +18,55 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
 func run() -> void:
     var world = fixture()
-    world.initialize_life_batches()
-    world.entities.N.cost = {"H": 2.0}
-    world.entities.N.bind = {"S": 3.0}
-    world.state.amount.H = 10.0
-    world.state.amount.S = 0.0
-    world.state.auto_resources = {"H": 10.0}
-    world.state.batches.H = [{"amount": 10.0, "start_year": 1.0, "end_year": 2.0}]
+    world.evolution.initialize_life_batches()
+    world.catalog.entities.N.cost = {"H": 2}
+    world.catalog.entities.N.bind = {"S": 3}
+    world.state.amount.H = 10
+    world.state.amount.S = 0
+    check(E.eq(world.production.calculate_max_producible(world.catalog.entities.N), 0), "Default maximum respects missing bindings")
+    world.state.amount.S = 30
+    check(E.eq(world.production.calculate_max_producible(world.catalog.entities.N), 5), "Default maximum uses recipe resources without an oversized sentinel")
+    check(E.eq(world.production.calculate_max_producible(world.catalog.entities.N, 2), 2), "Explicit production limit is preserved")
+    world.state.amount.H = E.of("1e27")
+    world.state.amount.S = E.of("1e27")
+    check(E.eq(world.production.calculate_max_producible(world.catalog.entities.N), E.floor_value(E.divide(E.of("1e27"), 3))), "Default maximum at E27 retains integer precision")
+    world.state.amount.BH25 = 4
+    check(E.eq(world.production.calculate_max_producible(world.catalog.entities.SMBH), world.production.smbh_available()), "Default SMBH maximum uses available black-hole mass")
+    world.state.amount.BH25 = 0
+    check(E.eq(world.production.calculate_max_producible(world.catalog.entities.SMBH), 0), "Empty SMBH maximum is zero")
+    world.state.amount.H = 10
+    world.state.amount.S = 0
+    world.state.auto_resources = {"H": 10}
+    world.state.batches.H = [{"amount": 10, "start_year": 1, "end_year": 2}]
     var before: Dictionary = world.state.duplicate(true)
-    check(not world._try_production(world.state, world.entities.N, 1.0, true), "Binding failure rejects production")
-    check(world.state == before, "Failure preserves costs, batches and budget")
-    world.state.amount.S = 10.0
+    check((not world.production.try_production(world.state, world.catalog.entities.N, 1, true)), "Binding failure rejects production")
+    check(E.eq(world.state, before), "Failure preserves costs, batches and budget")
+    world.state.amount.S = 10
     var old_batches: Array = world.state.batches.H
-    check(world._try_production(world.state, world.entities.N, 2.0, true), "Funded production succeeds")
-    check(world.state.amount.H == 6.0 and world.state.amount.S == 4.0, "Exact cost and binding")
-    check(world.state.auto_resources.H == 6.0, "Exact automatic budget")
-    check(old_batches[0].amount == 10.0 and world.state.batches.H[0].amount == 6.0, "Consumed batches isolated")
-    print("Transaction: %d checks, %d failures" % [checks, failures])
+    check(world.production.try_production(world.state, world.catalog.entities.N, 2, true), "Funded production succeeds")
+    check((E.eq(world.state.amount.H, 6) and E.eq(world.state.amount.S, 4)), "Exact cost and binding")
+    check(E.eq(world.state.auto_resources.H, 6), "Exact automatic budget")
+    check((E.eq(old_batches[0].amount, 10) and E.eq(world.state.batches.H[0].amount, 6)), "Consumed batches isolated")
+    print(("Transaction: %d checks, %d failures" % [checks, failures]))
     dispose(world)
-    quit(1 if failures else 0)
+    quit((1 if failures else 0))

tests/test_quantity_catalog.gd

@@ -0,0 +1,112 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+
+const Math = preload("res://world/owniverse/quantity_math.gd")
+const Legacy = preload("res://tests/fixtures/legacy_quantity_math.gd")
+var checks: int = 0
+var failures: int = 0
+
+func _initialize() -> void:
+    call_deferred("run")
+
+func check(condition: bool, message: String) -> void:
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
+        push_error(message)
+
+func run() -> void:
+    var rng = RandomNumberGenerator.new()
+    rng.seed = 65432
+    var old_remainders: Dictionary = {}
+    var new_remainders: Dictionary = {}
+    for sample in 300:
+        var requests: Dictionary = {}
+        var weights: Dictionary = {}
+        for id in ["w", "m", "b", "c", "d", "l"]:
+            requests[id] = E.of(str(rng.randi_range(-10, 100)) + "." + str(rng.randi_range(0, 9)))
+            weights[id] = rng.randi_range(0, 100)
+        if sample % 3 == 0:
+            for id in requests: requests[id] = E.multiply(requests[id], E.of("1e40"))
+        var limit: Variant = E.multiply(rng.randi_range(0, 600), E.of("1e40")) if sample % 3 == 0 else rng.randi_range(0, 600)
+        check(E.eq(Math.allocate_whole(requests, limit), Legacy.allocate_whole(requests, limit)), "Allocation matches legacy with limits, ties and big integers")
+        var count: Variant = limit
+        check(E.eq(Math.split(new_remainders, "population", count, weights), Legacy.split(old_remainders, "population", count, weights)), "Split matches legacy rounding")
+        check(E.eq(new_remainders, old_remainders), "Signed remainder debt matches legacy")
+    check_ledger_cache()
+    var Catalog = load("res://world/owniverse/entity_catalog.gd")
+    check(E.eq(Math.allocate_whole({}, 10), {}), "Empty allocation")
+    check(E.eq(Math.allocate_whole({"b": 1, "a": 1}, 1), {"a": 1, "b": 0}), "Stable lexical tie")
+    for limit in range(30):
+        var requests: Dictionary = {"a": E.of("3.9"), "b": E.of("9.1"), "c": E.neg(2), "d": 7}
+        var result: Dictionary = Math.allocate_whole(requests, limit)
+        check(E.eq(Math.sum(result), E.minimum(limit, 19)), "Conserve bounded allocation")
+        for id in result:
+            check(((E.eq(result[id], E.floor_value(result[id])) and E.ge(result[id], 0)) and E.le(result[id], E.floor_value(E.maximum(0, requests[id])))), "Whole bounded branch")
+    check(E.eq(Math.normalize_distribution({"a": E.neg(1), "b": 0}), {}), "Nonpositive weights")
+    check(E.eq(Math.normalize_distribution({"a": 2, "b": 6}), {"a": E.of("0.25"), "b": E.of("0.75")}), "Normalize weights")
+    check(E.eq(Math.production_step([E.of("0.25"), E.of("0.1"), 2]), 20), "Common whole production step")
+    check(E.eq(Math.production_step([]), 1), "Free production step")
+    var target: Dictionary = {}
+    var produced: Variant = 0
+    for i in 10:
+        produced = E.add(produced, Math.accumulate_whole(target, "remainders", "a", E.of("0.1")))
+    check(E.eq(produced, 1), "Fractional production carries")
+    var remainders: Dictionary = {}
+    var totals: Dictionary = {"a": 0, "b": 0, "c": 0}
+    for i in 30:
+        var result: Dictionary = Math.split(remainders, "split", 1, {"a": 1, "b": 1, "c": 1})
+        check(E.eq(Math.sum(result), 1), "Split conserves count")
+        for id in result: totals[id] = E.add(totals[id], result[id])
+    check(E.eq(totals, {"a": 10, "b": 10, "c": 10}), "Rounding debt distributes over time")
+    produced = 0
+    for i in 10: produced = E.add(produced, Math.accumulate_rate(remainders, "rate", 1, E.of("0.1")))
+    check(E.eq(produced, 1), "Rate carries")
+    var catalog = Catalog.new()
+    var rows: Dictionary = root.get_node("Global").OwniverseEntities
+    catalog.load_definitions(rows)
+    check(E.eq(catalog.entities.size(), rows.size()), "Catalog loads all definitions")
+    for id in catalog.entities:
+        var entity = catalog.entities[id]
+        check(E.eq(catalog.automatic_producers.has(entity), (E.ne(entity.product_per_year_type, ""))), "Producer index")
+        check(E.eq(catalog.unlockable_entities.has(entity), ((not entity.unlock.is_empty()))), "Unlock index")
+        if E.ne(entity.group_as, ""):
+            check((catalog.groups[entity.group_as].has(id) and catalog.members(entity.group_as).has(id)), "Group index")
+        if E.ne(entity.event_group, ""):
+            check(catalog.event_groups[entity.event_group].has(id), "Event index")
+    var members: Array = catalog.members("Star")
+    members.clear()
+    check((not catalog.members("Star").is_empty()), "Group results are independent")
+    check(Catalog.new().entities.is_empty(), "Catalog instances are independent")
+    for entity in catalog.entities.values(): entity.free()
+    print(("Quantity and catalog: %d checks, %d failures" % [checks, failures]))
+    quit((1 if failures else 0))
+
+func check_ledger_cache() -> void:
+    var world = load("res://world/owniverse/owniverse.gd").new()
+    world.catalog.load_definitions(root.get_node("Global").OwniverseEntities)
+    world.state.amount.RD = E.of("1e40")
+    world.state.binds.GEM = {"RD": 7}
+    check(E.eq(world.ledger.physical_amounts(world.state).RD, E.add(E.of("1e40"), 7)), "Initial cached physical amount")
+    var returned: Dictionary = world.ledger.physical_amounts(world.state)
+    returned.RD = 0
+    check(E.gt(world.ledger.physical_amounts(world.state).RD, 0), "Caller cannot mutate cached physical totals")
+    world.state.binds.GEM.RD = 11
+    check(E.eq(world.ledger.physical_amounts(world.state).RD, E.add(E.of("1e40"), 11)), "Nested binding change invalidates physical cache")
+    world.state.amount.RD = 2
+    check(E.eq(world.ledger.physical_amounts(world.state).RD, 13), "Direct count change invalidates physical cache")
+    var other: Dictionary = world.state.duplicate(true)
+    other.binds.clear()
+    check(E.eq(world.ledger.physical_amounts(other).RD, 2), "Alternate state has independent physical totals")
+    check(E.eq(world.ledger.physical_amounts(world.state).RD, 13), "Returning to original state refreshes cache")
+    var revision: int = world.catalog.index_revision
+    world.catalog.rebuild_group_index()
+    check(world.catalog.index_revision > revision, "Catalog rebuild invalidates cached membership")
+    check(E.eq(world.ledger.physical_amounts(world.state).RD, 13), "Rebuild retains correct physical totals")
+    var rules: Dictionary = root.get_node("Global").CivilizationRules.duplicate(true)
+    var original_stages: int = world.catalog.civilization_layout(rules).stages.size()
+    rules["C2.0"].home = ""
+    world.catalog.invalidate_civilization_layout()
+    check(world.catalog.civilization_layout(rules).stages.size() == original_stages - 1, "Explicit rules change rebuilds civilization layout")
+    for entity in world.catalog.entities.values(): entity.free()
+    world.free()

tests/test_quantity_catalog.gd.uid

@@ -0,0 +1 @@
+uid://bvri1enpsjisk

tests/test_short_lived_events.gd

@@ -0,0 +1,110 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+var checks: int = 0
+var failures: int = 0
+
+func _initialize() -> void:
+    call_deferred("run")
+
+func check(condition: bool, message: String) -> void:
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
+        push_error(message)
+
+func fixture(legacy: bool):
+    var world = load(("res://tests/fixtures/legacy_stellar_events.gd" if legacy else "res://world/owniverse/owniverse.gd")).new()
+    for id in root.get_node("Global").OwniverseEntities:
+        world.catalog.entities[id] = load("res://world/owniverse/owniverse_entity.gd").new(root.get_node("Global").OwniverseEntities[id])
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(world.catalog.entities[id].group_as, ""):
+            world.state.amount[world.catalog.entities[id].group_as] = 0
+            world.state.stats.total_amount[world.catalog.entities[id].group_as] = 0
+    return world
+
+func dispose(world) -> void:
+    for entity in world.catalog.entities.values(): entity.free()
+    world.free()
+
+func equivalent(a: Variant, b: Variant) -> bool:
+    if ((a is Dictionary) and (b is Dictionary)):
+        if E.ne(a.size(), b.size()): return false
+        for key in a:
+            if ((not b.has(key)) or (not equivalent(a[key], b[key]))): return false
+        return true
+    if ((a is Array) and (b is Array)):
+        if E.ne(a.size(), b.size()): return false
+        for i in a.size():
+            if (not equivalent(a[i], b[i])): return false
+        return true
+    if E.numeric(a) and E.numeric(b):
+        # Counts must match exactly. Fractional float remainders can differ
+        # when the analytic integral replaces thousands of subtractions.
+        if not E.eq(E.floor_value(a), E.floor_value(b)): return false
+        return E.le(E.absolute(E.subtract(a, b)), E.of("1e-8"))
+    return E.eq(a, b)
+
+func run() -> void:
+    for parent in ["LRG", "HRG", "RSG", "RHG"]:
+        for year in [101, E.of("101.5"), E.of("104.75"), E.of("1767.3"), 3005]:
+            var fast = fixture(false)
+            var legacy = fixture(true)
+            fast.state.amount[parent] = 20000
+            fast.state.amount.RD = 100000
+            fast.state.amount.HP = 50
+            fast.state.amount.Met = 100
+            fast.state.binds.RD = {"HP": 2000, "C0.1": 100}
+            fast.state.binds[parent] = {"HP": 10}
+            fast.state.batches[parent] = [{"amount": 20000, "start_year": E.of("100.3"), "end_year": E.of("3000.7")}]
+            # Existing short-lived populations test integration with new arrivals.
+            fast.state.amount.SN = 3
+            fast.batches.append_batch(fast.state, "SN", 3, E.of("100.5"), E.of("100.5"))
+            if E.eq(year, E.of("104.75")): fast.state.energy = 7
+            legacy.state = fast.state.duplicate(true)
+            fast.evolution.evolve_batches(fast.state, year)
+            legacy.evolution.evolve_batches(legacy.state, year)
+            for field in fast.state:
+                check(equivalent(fast.state[field], legacy.state[field]), ("%s at %s: %s matches materialized events" % [parent, year, field]))
+            for id in ["SN", "DSN", "BSN", "HN", "GRB", "SGRB", "LGRB", "HGRB"]:
+                check(E.le(fast.state.batches.get(id, []).size(), 3), "Only surviving event windows remain")
+            dispose(fast)
+            dispose(legacy)
+    var fast = fixture(false)
+    var pending: Dictionary = {}
+    fast.batches.append_batch(fast.state, "SN", 10000, E.of("0.25"), E.of("1667.25"), pending, E.of("1667.25"))
+    check((E.le(fast.state.batches.SN.size(), 2) and E.eq(pending.SN.size(), 1)), "Completed windows aggregate without transient batch allocation")
+    var total: Variant = pending.SN[0].amount
+    for batch in fast.state.batches.SN: total = E.add(total, batch.amount)
+    check(E.eq(total, 10000), "Direct completions plus survivors conserve event count")
+    dispose(fast)
+    # Dense completed events must not iterate a million elapsed windows.
+    # An aligned, fully completed cohort produces exactly count * lifespan.
+    fast = fixture(false)
+    pending = {}
+    var lifespan: Variant = fast.catalog.entities.SN.lifespan
+    var window: Variant = E.divide(lifespan, root.get_node("Global").batch_count) if E.gt(lifespan, 10) else lifespan
+    var creation_end: Variant = E.multiply(window, 1000000)
+    var dense_count: Variant = E.of("1e20")
+    var integral: Variant = fast.batches.append_batch(fast.state, "SN", dense_count, 0, creation_end, pending, E.add(creation_end, lifespan))
+    check(E.eq(pending.SN[0].amount, dense_count), "Million-window aggregation conserves every event")
+    check(E.eq(integral, E.multiply(dense_count, lifespan)), "Million-window aggregation preserves lifetime integral")
+    check(fast.state.batches.SN.is_empty(), "Completed million-window cohort leaves no transient batches")
+    dispose(fast)
+    # Sparse explosions: thousands of time windows but very few actual events.
+    # Exact interval edges and partial final windows exercise the jump boundary.
+    for count in [1, 3, 17]:
+        for year in [500, 1001]:
+            fast = fixture(false)
+            var legacy = fixture(true)
+            fast.state.amount.RHG = count
+            fast.state.batches.RHG = [{"amount": count, "start_year": E.of("0.25"), "end_year": E.of("1000.25")}]
+            legacy.state = fast.state.duplicate(true)
+            fast.evolution.evolve_batches(fast.state, year)
+            legacy.evolution.evolve_batches(legacy.state, year)
+            for field in fast.state:
+                check(equivalent(fast.state[field], legacy.state[field]), "Sparse %s at %s: %s" % [count, year, field])
+            dispose(fast)
+            dispose(legacy)
+    print(("Short-lived events: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_short_lived_events.gd.uid

@@ -0,0 +1 @@
+uid://dp7a88n0mmyb5

tests/test_sparse_batches.gd

@@ -0,0 +1,52 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+var checks: int = 0
+var failures: int = 0
+func _initialize(): call_deferred("run")
+func check(value: bool, message: String):
+    checks += 1
+    if not value:
+        failures += 1
+        push_error(message)
+func run():
+    var world = load("res://world/owniverse/owniverse.gd").new()
+    world.catalog.load_definitions(root.get_node("Global").OwniverseEntities)
+    world.catalog.entities.N.lifespan = 24
+    var width: Variant = E.divide(24, root.get_node("Global").batch_count)
+    for count in [1, 2, 7, 11, 100, E.of("1e40")]:
+        for interval in [[E.of("0.25"), E.of("101.75")], [0, 120], [3, 3]]:
+            world.state.batches = {}
+            world.state.batch_origins = {"N": E.of("0.125")}
+            var expected: Array = []
+            var origin: Variant = world.state.batch_origins.N
+            var index: Variant = E.floor_value(E.divide(E.subtract(interval[0], origin), width))
+            var assigned: Variant = 0
+            var cursor: Variant = interval[0]
+            while true:
+                var start: Variant = E.add(origin, E.multiply(index, width))
+                var end: Variant = E.add(origin, E.multiply(E.add(index, 1), width))
+                if E.le(end, cursor):
+                    index = E.add(index, 1)
+                    continue
+                var until: Variant = E.minimum(interval[1], end)
+                var amount: Variant = E.subtract(count, assigned)
+                if E.gt(interval[1], interval[0]) and E.lt(until, interval[1]):
+                    amount = E.subtract(E.floor_value(E.mul_div(count, E.subtract(until, interval[0]), E.subtract(interval[1], interval[0]))), assigned)
+                if E.gt(amount, 0):
+                    expected.append({"created_from": start, "created_to": end, "start_year": E.add(start, 24), "end_year": E.add(end, 24), "amount": amount})
+                assigned = E.add(assigned, amount)
+                if E.ge(until, interval[1]): break
+                cursor = end
+                index = E.add(index, 1)
+            world.batches.append_batch(world.state, "N", count, interval[0], interval[1])
+            var actual: Array = []
+            for batch in world.state.batches.N:
+                if E.gt(batch.amount, 0): actual.append(batch)
+            check(E.eq(actual, expected), "Sparse jump preserves every nonempty quota and boundary")
+            var total: Variant = 0
+            for batch in actual: total = E.add(total, batch.amount)
+            check(E.eq(total, count), "Sparse jump preserves complete whole population")
+    for entity in world.catalog.entities.values(): entity.free()
+    world.free()
+    print("Sparse batches: %d checks, %d failures" % [checks, failures])
+    quit(1 if failures else 0)

tests/test_sparse_batches.gd.uid

@@ -0,0 +1 @@
+uid://gtvie7p6j62x

tests/test_stellar_rules.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 var checks: int = 0
 var failures: int = 0
 
@@ -6,9 +7,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -16,236 +17,247 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
 func run() -> void:
     var world = fixture()
-    var rd = world.entities.RD
-    check(rd.planets.HP.chance == 0.01, "Preserve fractional planet probability")
-    check(rd.planets.GG.amount == 2.0 and rd.planets.GG.chance == 0.08, "Read count and chance separately")
-    check(rd._parse_planet_string("HP:1:0.01") == {"HP": {"amount": 1.0, "chance": 0.01}}, "Accept a single planet term")
+    for id in ["DSN", "SN", "BSN", "HN", "SGRB", "GRB", "LGRB", "HGRB"]:
+        check(E.eq(world.stellar.evolution_products(world.state, world.catalog.entities[id], 3).blast, E.multiply(3, world.catalog.entities[id].blast)), E.add("Entity blast determines power: ", id))
+    world.catalog.entities.SN.output_and.blast = 999
+    world.catalog.entities.SN.blast = 4
+    check(E.eq(world.stellar.evolution_products(world.state, world.catalog.entities.SN, 2).blast, 8), "Imported output cannot override or double blast power")
+    world.catalog.entities.SN.blast = 0
+    check((not world.stellar.evolution_products(world.state, world.catalog.entities.SN, 2).has("blast")), "Zero entity blast disables external event")
+    world.catalog.entities.SN.output_or = {"positive": "blast:999", "negative": "blast:999", "chance": 50}
+    check((not world.stellar.evolution_products(world.state, world.catalog.entities.SN, 2).has("blast")), "Alternative output cannot restore disabled blast")
+    dispose(world)
+    world = fixture()
+    var rd = world.catalog.entities.RD
+    check(E.eq(rd.planets.HP.chance, E.of("0.01")), "Preserve fractional planet probability")
+    check((E.eq(rd.planets.GG.amount, 2) and E.eq(rd.planets.GG.chance, E.of("0.08"))), "Read count and chance separately")
+    check(E.eq(rd._parse_planet_string("HP:1:0.01"), {"HP": {"amount": 1, "chance": E.of("0.01")}}), "Accept a single planet term")
     check(rd._parse_planet_string("").is_empty(), "Empty planet definitions stay empty")
     for id in ["HP", "EON1", "C0.9", "C1.2"]:
-        check(world.entities[id].blastability, "Blast vulnerable: " + id)
+        check(world.catalog.entities[id].blastability, E.add("Blast vulnerable: ", id))
     for id in ["RP", "GG", "AB", "C1.3", "C1.4", "C1.5"]:
-        check(not world.entities[id].blastability, "Blast protected: " + id)
+        check((not world.catalog.entities[id].blastability), E.add("Blast protected: ", id))
 
     # Actual GI table: HRG -> SN, with 1% GRB; no random rounding.
     var totals: Dictionary = {}
     for i in 100:
-        var products: Dictionary = world._evolution_products(world.state, world.entities.HRG, 1.0)
+        var products: Dictionary = world.stellar.evolution_products(world.state, world.catalog.entities.HRG, 1)
         for id in products:
-            totals[id] = totals.get(id, 0.0) + products[id]
-    check(totals.get("SN") == 99.0 and totals.get("GRB") == 1.0, "GI rare outcomes accumulate deterministically")
+            totals[id] = E.add(totals.get(id, 0), products[id])
+    check((E.eq(totals.get("SN"), 99) and E.eq(totals.get("GRB"), 1)), "GI rare outcomes accumulate deterministically")
     var restored = fixture()
-    restored.state = bytes_to_var(var_to_bytes(world.state))
-    check(world._evolution_products(world.state, world.entities.HRG, 37.0) == restored._evolution_products(restored.state, restored.entities.HRG, 37.0), "Evolution carry survives serialization")
+    restored.state = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
+    check(E.eq(world.stellar.evolution_products(world.state, world.catalog.entities.HRG, 37), restored.stellar.evolution_products(restored.state, restored.catalog.entities.HRG, 37)), "Evolution carry survives serialization")
     dispose(restored)
 
     # Real RD lifespan, four stars spread over the existing lifespan/40 window.
-    world.state.amount.N = 0.0
-    world.state.amount.RD = 4.0
-    world._append_batch(world.state, "RD", 4.0, 0.0, 0.0)
-    var lifespan: float = rd.lifespan
-    var width: float = rd.lifespan_delta
-    world._evolve_batches(world.state, lifespan)
-    check(world.state.amount.RD == 4.0, "Window start does not kill the whole batch")
-    world._evolve_batches(world.state, lifespan + width / 4.0)
-    check(world.state.amount.RD == 3.0 and world.state.amount.TWD == 1.0, "One quarter of a batch evolves")
-    world._evolve_batches(world.state, lifespan + width / 2.0)
-    check(world.state.amount.RD == 2.0 and world.state.amount.TWD == 2.0, "Half the batch evolves")
-    world._evolve_batches(world.state, lifespan + width)
-    check(world.state.amount.RD == 0.0 and world.state.amount.TWD == 4.0, "Window end completes evolution")
+    world.state.amount.N = 0
+    world.state.amount.RD = 4
+    world.batches.append_batch(world.state, "RD", 4, 0, 0)
+    var lifespan: Variant = rd.lifespan
+    var width: Variant = rd.lifespan_delta
+    world.evolution.evolve_batches(world.state, lifespan)
+    check(E.eq(world.state.amount.RD, 4), "Window start does not kill the whole batch")
+    world.evolution.evolve_batches(world.state, E.add(lifespan, E.divide(width, 4)))
+    check((E.eq(world.state.amount.RD, 3) and E.eq(world.state.amount.TWD, 1)), "One quarter of a batch evolves")
+    world.evolution.evolve_batches(world.state, E.add(lifespan, E.divide(width, 2)))
+    check((E.eq(world.state.amount.RD, 2) and E.eq(world.state.amount.TWD, 2)), "Half the batch evolves")
+    world.evolution.evolve_batches(world.state, E.add(lifespan, width))
+    check((E.eq(world.state.amount.RD, 0) and E.eq(world.state.amount.TWD, 4)), "Window end completes evolution")
     check(world.state.batches.RD.is_empty(), "Completed batch removed")
     dispose(world)
     # Creation accumulates independently for each star/planet pair.
     world = fixture()
-    world.state.amount.RD = 100.0
+    world.state.amount.RD = 100
     for i in 100:
-        world._create_planets(world.state, "RD", 1.0, 0.0, 0.0, 1.0)
-    check(world.state.binds.RD.HP == 1.0, "100 RD at metallicity 1 produce one HP")
-    check(world.state.binds.RD.RP == 21.0, "Rocky planet probability retains fractions")
-    check(world.state.binds.RD.GG == 16.0 and world.state.binds.RD.AB == 120.0, "Planet multiplicity applied")
-    check(world.state.amount.HP == 0.0 and world.state.stats.total_amount.HP == 1.0, "Created planets are bound, counted once")
+        world.stellar.create_planets(world.state, "RD", 1, 0, 0, 1)
+    check(E.eq(world.state.binds.RD.HP, 1), "100 RD at metallicity 1 produce one HP")
+    check(E.eq(world.state.binds.RD.RP, 21), "Rocky planet probability retains fractions")
+    check((E.eq(world.state.binds.RD.GG, 16) and E.eq(world.state.binds.RD.AB, 120)), "Planet multiplicity applied")
+    check((E.eq(world.state.amount.HP, 0) and E.eq(world.state.stats.total_amount.HP, 1)), "Created planets are bound, counted once")
     var saves: Node = root.get_node("SaveManager")
-    check(saves.validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Planet carry save validates")
+    check(E.eq(saves.validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Planet carry save validates")
     restored = fixture()
-    restored.state = bytes_to_var(var_to_bytes(world.state))
-    world._create_planets(world.state, "RD", 37.0, 0.0, 0.0, 0.7)
-    restored._create_planets(restored.state, "RD", 37.0, 0.0, 0.0, 0.7)
-    check(world.state == restored.state, "Planet carry continues after save")
+    restored.state = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
+    world.stellar.create_planets(world.state, "RD", 37, 0, 0, E.of("0.7"))
+    restored.stellar.create_planets(restored.state, "RD", 37, 0, 0, E.of("0.7"))
+    check(E.eq(world.state, restored.state), "Planet carry continues after save")
     dispose(restored)
     dispose(world)
 
     # A partially dying dwarf sterilizes HP; survivors and RP move to its heir.
     world = fixture()
-    world.state.amount.RD = 4.0
-    world.state.binds.RD = {"HP": 8.0, "RP": 4.0, "C1.2": 4.0, "C1.3": 4.0, "GG": 4.0}
-    world._append_batch(world.state, "RD", 4.0, 0.0, 0.0)
-    world._evolve_batches(world.state, lifespan + width / 2.0)
-    check(world.state.amount.RD == 2.0 and world.state.amount.TWD == 2.0, "Partial star transition with planets")
-    check(world.state.binds.RD.HP + world.state.binds.TWD.HP == 4.0, "Half of HP sterilized")
-    check(world.state.binds.RD["C1.3"] == 2.0 and world.state.binds.TWD["C1.3"] == 2.0, "Protected civilization splits between parent and heir")
-    check(world.state.binds.RD.RP + world.state.binds.TWD.RP == 10.0, "Sterilized planets become RP without loss")
-    check(world.state.amount.RP == 0.0 and world.state.amount["C1.3"] == 0.0, "Inherited planets never become free")
-    world._evolve_batches(world.state, lifespan + width)
-    check(world.state.binds.RD["C1.3"] == 0.0 and world.state.binds.TWD["C1.3"] == 4.0, "No planets left at extinct parent type")
-    check(saves.validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Inherited state validates")
+    world.state.amount.RD = 4
+    world.state.binds.RD = {"HP": 8, "RP": 4, "C1.2": 4, "C1.3": 4, "GG": 4}
+    world.batches.append_batch(world.state, "RD", 4, 0, 0)
+    world.evolution.evolve_batches(world.state, E.add(lifespan, E.divide(width, 2)))
+    check((E.eq(world.state.amount.RD, 2) and E.eq(world.state.amount.TWD, 2)), "Partial star transition with planets")
+    check(E.eq(E.add(world.state.binds.RD.HP, world.state.binds.TWD.HP), 4), "Half of HP sterilized")
+    check((E.eq(world.state.binds.RD["C1.3"], 2) and E.eq(world.state.binds.TWD["C1.3"], 2)), "Protected civilization splits between parent and heir")
+    check(E.eq(E.add(world.state.binds.RD.RP, world.state.binds.TWD.RP), 10), "Sterilized planets become RP without loss")
+    check((E.eq(world.state.amount.RP, 0) and E.eq(world.state.amount["C1.3"], 0)), "Inherited planets never become free")
+    world.evolution.evolve_batches(world.state, E.add(lifespan, width))
+    check((E.eq(world.state.binds.RD["C1.3"], 0) and E.eq(world.state.binds.TWD["C1.3"], 4)), "No planets left at extinct parent type")
+    check(E.eq(saves.validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Inherited state validates")
     dispose(world)
 
     world = fixture()
-    world.state.amount.WS = 2.0
-    world.state.binds.WS = {"HP": 4.0, "C1.3": 4.0, "RP": 4.0, "GG": 4.0}
-    world._append_batch(world.state, "WS", 2.0, 0.0, 0.0)
-    world._evolve_batches(world.state, world.entities.WS.lifespan + world.entities.WS.lifespan_delta)
-    var physical: Dictionary = world._physical_amounts(world.state)
-    check(physical.HP == 0.0 and physical["C1.3"] == 0.0 and physical.RP == 0.0 and physical.GG == 0.0, "Level 2 removes all planets, including protected civilization")
-    check(world.state.amount.LRG == 2.0, "Giant evolves after local destruction")
+    world.state.amount.WS = 2
+    world.state.binds.WS = {"HP": 4, "C1.3": 4, "RP": 4, "GG": 4}
+    world.batches.append_batch(world.state, "WS", 2, 0, 0)
+    world.evolution.evolve_batches(world.state, E.add(world.catalog.entities.WS.lifespan, world.catalog.entities.WS.lifespan_delta))
+    var physical: Dictionary = world.ledger.physical_amounts(world.state)
+    check((((E.eq(physical.HP, 0) and E.eq(physical["C1.3"], 0)) and E.eq(physical.RP, 0)) and E.eq(physical.GG, 0)), "Level 2 removes all planets, including protected civilization")
+    check(E.eq(world.state.amount.LRG, 2), "Giant evolves after local destruction")
     dispose(world)
 
     world = fixture()
-    world.state.amount.RD = 10.0
-    world.state.binds.RD = {"HP": 10.0, "C1.2": 10.0, "C1.3": 10.0, "RP": 0.0}
-    world._apply_blast(world.state, 5.0, {"blast": 1.0, "density": 1.0})
-    check(world.state.binds.RD.HP == 5.0 and world.state.binds.RD["C1.2"] == 5.0, "Blast damages vulnerable worlds proportionally")
-    check(world.state.binds.RD["C1.3"] == 10.0 and world.state.binds.RD.RP == 10.0, "Blast protects C1.3 and creates RP")
-    world._apply_blast(world.state, 1e6, {"blast": 1.0, "density": 1.0})
-    check(world.state.binds.RD.HP == 0.0 and world.state.binds.RD.RP == 20.0, "Overwhelming blast is capped at available planets")
-    check(not world.state.amount.has("blast"), "Blast is not a resource")
+    world.state.amount.RD = 10
+    world.state.binds.RD = {"HP": 10, "C1.2": 10, "C1.3": 10, "RP": 0}
+    world.stellar.apply_blast(world.state, 5, {"blast": 1, "density": 1})
+    check((E.eq(world.state.binds.RD.HP, 5) and E.eq(world.state.binds.RD["C1.2"], 5)), "Blast damages vulnerable worlds proportionally")
+    check((E.eq(world.state.binds.RD["C1.3"], 10) and E.eq(world.state.binds.RD.RP, 10)), "Blast protects C1.3 and creates RP")
+    world.stellar.apply_blast(world.state, 1000000, {"blast": 1, "density": 1})
+    check((E.eq(world.state.binds.RD.HP, 0) and E.eq(world.state.binds.RD.RP, 20)), "Overwhelming blast is capped at available planets")
+    check((not world.state.amount.has("blast")), "Blast is not a resource")
     dispose(world)
 
     world = fixture()
-    world.state.amount.RD = 1.0
-    world.state.binds.RD = {"HP": 1.0}
+    world.state.amount.RD = 1
+    world.state.binds.RD = {"HP": 1}
     for i in 10:
-        world._apply_blast(world.state, 1.0, {"blast": 1.0, "density": 0.1})
-    check(world.state.binds.RD.HP == 0.0 and world.state.binds.RD.RP == 1.0, "Small blast effects accumulate across cycles")
+        world.stellar.apply_blast(world.state, 1, {"blast": 1, "density": E.of("0.1")})
+    check((E.eq(world.state.binds.RD.HP, 0) and E.eq(world.state.binds.RD.RP, 1)), "Small blast effects accumulate across cycles")
     dispose(world)
 
     # Actual supernova output: one SN gives a neutron star, resources, and an event.
     world = fixture()
-    world.state.amount.SN = 1.0
-    world._append_batch(world.state, "SN", 1.0, 0.0, 0.0)
-    world._evolve_batches(world.state, 2.0)
-    check(world.state.amount.SN == 0.0 and world.state.amount.LNS == 1.0, "Supernova produces a remnant")
-    check(world.state.amount.H == 8.0 and world.state.amount.He == 50.0 and world.state.amount.Met == 11.0, "Supernova returns table resources")
-    check(not world.state.amount.has("blast"), "Supernova dispatches blast output")
-    check(saves.validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Blast state validates")
+    world.state.amount.SN = 1
+    world.batches.append_batch(world.state, "SN", 1, 0, 0)
+    world.evolution.evolve_batches(world.state, 2)
+    check((E.eq(world.state.amount.SN, 0) and E.eq(world.state.amount.LNS, 1)), "Supernova produces a remnant")
+    check(((E.eq(world.state.amount.H, 8) and E.eq(world.state.amount.He, 50)) and E.eq(world.state.amount.Met, 11)), "Supernova returns table resources")
+    check((not world.state.amount.has("blast")), "Supernova dispatches blast output")
+    check(E.eq(saves.validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Blast state validates")
     dispose(world)
 
     world = fixture()
-    world.state.amount.H = 1000.0
-    world.state.amount.Met = 100.0
-    check(world.produce("RD", 100.0) == 100.0, "Manual star creation succeeds")
-    check(world.state.binds.RD.HP >= 1.0, "Manual creation dispatches planet formation")
-    check(world.state.amount.H == 900.0, "Planet creation does not duplicate or spend stellar fuel")
+    world.state.amount.H = 1000
+    world.state.amount.Met = 100
+    check(E.eq(world.production.produce("RD", 100), 100), "Manual star creation succeeds")
+    check(E.ge(world.state.binds.RD.HP, 1), "Manual creation dispatches planet formation")
+    check(E.eq(world.state.amount.H, 900), "Planet creation does not duplicate or spend stellar fuel")
     dispose(world)
 
     world = fixture()
-    world.state.amount.N = 0.0
-    world.state.amount.RD = 1.0
-    world.state.amount.H = 100.0
-    world.state.amount.Met = 100.0
-    world.state.auto_resources.H = 100.0
-    world.evolute(0.1)
-    check(world.state.amount.RD == 101.0 and world.state.amount.H == 0.0, "Automatic formation uses its resource budget")
-    check(world.state.binds.RD.HP >= 1.0, "Automatic formation also creates planets")
+    world.state.amount.N = 0
+    world.state.amount.RD = 1
+    world.state.amount.H = 100
+    world.state.amount.Met = 100
+    world.state.auto_resources.H = 100
+    world.evolute(E.of("0.1"))
+    check((E.eq(world.state.amount.RD, 101) and E.eq(world.state.amount.H, 0)), "Automatic formation uses its resource budget")
+    check(E.ge(world.state.binds.RD.HP, 1), "Automatic formation also creates planets")
     dispose(world)
 
     world = fixture()
-    world.entities.N.auto = 1.0
+    world.catalog.entities.N.auto = 1
     # 1000 newly produced automatic H reserve 1 H, enough for 10 HBD.
-    world.evolute(100.0)
-    check(world.state.amount.HBD == 10.0, "Brown dwarfs form without existing ordinary stars")
-    check(world.state.amount.H == 999.0 and world.state.auto_resources.H == 999.0, "Brown dwarfs consume exactly their reserved hydrogen")
-    check(world.get_item_amounts().BD == 10.0 and world.state.batches.HBD.size() > 0, "Brown dwarfs appear in counter and evolution batches")
-    world.entities.N.product_per_year_amount = 0.0
-    world.evolute(100.0)
-    check(world.state.amount.HBD == 10.0, "Stored automatic budget is not taxed repeatedly")
+    world.evolute(100)
+    check(E.eq(world.state.amount.HBD, 10), "Brown dwarfs form without existing ordinary stars")
+    check((E.eq(world.state.amount.H, 999) and E.eq(world.state.auto_resources.H, 999)), "Brown dwarfs consume exactly their reserved hydrogen")
+    check((E.eq(world.presentation.amounts(world.state, world.catalog).BD, 10) and E.gt(world.state.batches.HBD.size(), 0)), "Brown dwarfs appear in counter and evolution batches")
+    world.catalog.entities.N.product_per_year_amount = 0
+    world.evolute(100)
+    check(E.eq(world.state.amount.HBD, 10), "Stored automatic budget is not taxed repeatedly")
     dispose(world)
 
     world = fixture()
-    world.entities.N.auto = 1.0
-    world.state.amount.RD = 1.0
-    world.evolute(50.0)
-    check(world.state.amount.HBD == 5.0 and is_equal_approx(world.state.auto_star_deficits.HBD_fuel, 0.5), "Individual dwarfs retain prepaid fractional fuel")
-    check(world.state.amount.H == 0.0, "Prepaid fuel is not available to ordinary stars")
+    world.catalog.entities.N.auto = 1
+    world.state.amount.RD = 1
+    world.evolute(50)
+    check((E.eq(world.state.amount.HBD, 5) and E.near(world.state.auto_star_deficits.HBD_fuel, E.of("0.5"))), "Individual dwarfs retain prepaid fractional fuel")
+    check(E.eq(world.state.amount.H, 0), "Prepaid fuel is not available to ordinary stars")
     var resumed = fixture()
-    resumed.entities.N.auto = 1.0
-    resumed.state = bytes_to_var(var_to_bytes(world.state))
-    world.evolute(50.0)
-    resumed.evolute(50.0)
-    check(world.state.amount.HBD == 10.0, "Accumulated quota eventually creates a whole batch")
-    check(world.state == resumed.state, "Brown dwarf quota survives serialization deterministically")
-    check(world.state.amount.RD == 1000.0 and world.state.amount.H == 0.0, "Shared automatic hydrogen is spent once")
-    world.state.batches.HBD = [{"amount": 10.0, "start_year": 101.0, "end_year": 101.0}]
-    world._evolve_batches(world.state, 101.0)
-    check(world.state.amount.HBD == 0.0 and world.state.amount.CBD == 10.0 and world.get_item_amounts().BD == 10.0, "Cooling preserves aggregate brown dwarf count")
+    resumed.catalog.entities.N.auto = 1
+    resumed.state = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
+    world.evolute(50)
+    resumed.evolute(50)
+    check(E.eq(world.state.amount.HBD, 10), "Accumulated quota eventually creates a whole batch")
+    check(E.eq(world.state, resumed.state), "Brown dwarf quota survives serialization deterministically")
+    check((E.eq(world.state.amount.RD, 1000) and E.eq(world.state.amount.H, 0)), "Shared automatic hydrogen is spent once")
+    world.state.batches.HBD = [{"amount": 10, "start_year": 101, "end_year": 101}]
+    world.evolution.evolve_batches(world.state, 101)
+    check(((E.eq(world.state.amount.HBD, 0) and E.eq(world.state.amount.CBD, 10)) and E.eq(world.presentation.amounts(world.state, world.catalog).BD, 10)), "Cooling preserves aggregate brown dwarf count")
     dispose(resumed)
     dispose(world)
 
     world = fixture()
     var saw_individual: bool = false
     for i in range(250):
-        world.state.amount.H += 1.0
-        world.state.auto_resources.H = world.state.auto_resources.get("H", 0.0) + 1.0
-        var before: float = world.state.amount.HBD
-        world._produce_brown_dwarfs(world.state, 1.0, float(i), float(i + 1))
-        var born: float = world.state.amount.HBD - before
-        check(born == 0.0 or born == 1.0, "Small fuel increments produce individual dwarfs")
-        saw_individual = saw_individual or born == 1.0
+        world.state.amount.H = E.add(world.state.amount.H, 1)
+        world.state.auto_resources.H = E.add(world.state.auto_resources.get("H", 0), 1)
+        var before: Variant = world.state.amount.HBD
+        world.automatic.produce_brown_dwarfs(world.state, 1, E.of(i), E.of(E.add(i, 1)))
+        var born: Variant = E.subtract(world.state.amount.HBD, before)
+        check((E.eq(born, 0) or E.eq(born, 1)), "Small fuel increments produce individual dwarfs")
+        saw_individual = (saw_individual or E.eq(born, 1))
     check(saw_individual, "Random rounding does not wait for ten dwarfs")
     resumed = fixture()
-    resumed.state = bytes_to_var(var_to_bytes(world.state))
+    resumed.state = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
     for i in range(250, 500):
         for simulation in [world, resumed]:
-            simulation.state.amount.H += 1.0
-            simulation.state.auto_resources.H += 1.0
-            simulation._produce_brown_dwarfs(simulation.state, 1.0, float(i), float(i + 1))
-    check(world.state == resumed.state, "Random sequence and prepaid fuel survive saving")
-    check(is_equal_approx(world.state.amount.H + world.state.amount.HBD * 0.1 + world.state.auto_star_deficits.HBD_fuel, 500.0), "Individual production conserves fuel including prepaid reserve")
-    check(is_equal_approx(world.state.amount.HBD + world.state.auto_star_deficits.HBD, 5.0), "Signed remainder preserves the 0.1 percent allocation")
-    var paused_count: float = world.state.amount.HBD
-    for i in 10: world._produce_brown_dwarfs(world.state, 0.0, 500.0, 501.0)
-    check(world.state.amount.HBD == paused_count, "No repeated random attempts without new fuel")
+            simulation.state.amount.H = E.add(simulation.state.amount.H, 1)
+            simulation.state.auto_resources.H = E.add(simulation.state.auto_resources.H, 1)
+            simulation.automatic.produce_brown_dwarfs(simulation.state, 1, E.of(i), E.of(E.add(i, 1)))
+    check(E.eq(world.state, resumed.state), "Random sequence and prepaid fuel survive saving")
+    check(E.near(E.add(E.add(world.state.amount.H, E.multiply(world.state.amount.HBD, E.of("0.1"))), world.state.auto_star_deficits.HBD_fuel), 500), "Individual production conserves fuel including prepaid reserve")
+    check(E.near(E.add(world.state.amount.HBD, world.state.auto_star_deficits.HBD), 5), "Signed remainder preserves the 0.1 percent allocation")
+    var paused_count: Variant = world.state.amount.HBD
+    for i in 10: world.automatic.produce_brown_dwarfs(world.state, 0, 500, 501)
+    check(E.eq(world.state.amount.HBD, paused_count), "No repeated random attempts without new fuel")
     dispose(resumed)
     dispose(world)
 
     # Two simultaneous successors share surviving planets in the same 99:1 ratio.
     world = fixture()
-    world.entities.HRG.destroy_level = 0
-    world.state.amount.HRG = 100.0
-    world.state.binds.HRG = {"C1.3": 100.0}
-    world.state.batches.HRG = [{"start_year": 0.1, "end_year": 0.1, "amount": 100.0}]
-    world._evolve_batches(world.state, 0.1)
-    check(world.state.binds.SN["C1.3"] == 99.0 and world.state.binds.GRB["C1.3"] == 1.0, "Planets split among actual alternative successors")
-    check(world.state.binds.HRG["C1.3"] == 0.0, "Alternative evolution leaves no orphan bindings")
+    world.catalog.entities.HRG.destroy_level = 0
+    world.state.amount.HRG = 100
+    world.state.binds.HRG = {"C1.3": 100}
+    world.state.batches.HRG = [{"start_year": E.of("0.1"), "end_year": E.of("0.1"), "amount": 100}]
+    world.evolution.evolve_batches(world.state, E.of("0.1"))
+    check((E.eq(world.state.binds.SN["C1.3"], 99) and E.eq(world.state.binds.GRB["C1.3"], 1)), "Planets split among actual alternative successors")
+    check(E.eq(world.state.binds.HRG["C1.3"], 0), "Alternative evolution leaves no orphan bindings")
     dispose(world)
 
     world = fixture()
-    world.state.amount.N = 0.0
-    world.state.amount.HRG = 1.0
-    world.state.batches.HRG = [{"start_year": 0.1, "end_year": 0.1, "amount": 1.0}]
-    world.evolute(3.0)
-    check(world.state.amount.LNS == 1.0 and world.state.amount.SN == 0.0, "Long step follows multiple stellar generations")
-    check(world.state.amount.S >= 99.0, "Short-lived newborn supernova emits S before disappearing")
+    world.state.amount.N = 0
+    world.state.amount.HRG = 1
+    world.state.batches.HRG = [{"start_year": E.of("0.1"), "end_year": E.of("0.1"), "amount": 1}]
+    world.evolute(3)
+    check((E.eq(world.state.amount.LNS, 1) and E.eq(world.state.amount.SN, 0)), "Long step follows multiple stellar generations")
+    check(E.ge(world.state.amount.S, 99), "Short-lived newborn supernova emits S before disappearing")
     dispose(world)
 
-    print("Stellar rules: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("Stellar rules: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_time.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 const Clock = preload("res://world/owniverse/simulation_time.gd")
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(condition: bool, message: String) -> void:
-    checks += 1
-    if not condition:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func fixture():
@@ -17,75 +18,76 @@ func fixture():
     var global: Node = root.get_node("Global")
     for id in global.OwniverseEntities:
         var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
-        world.entities[id] = entity
-        world.state.amount[id] = 0.0
-        world.state.stats.total_amount[id] = 0.0
-        if entity.group_as != "":
-            world.state.amount[entity.group_as] = 0.0
-            world.state.stats.total_amount[entity.group_as] = 0.0
-    world.entities["N"].life_product = {}
-    world.entities["N"].product_per_year_type = "H"
-    world.entities["N"].product_per_year_amount = 10.0
-    world.entities["N"].auto = 0.0
-    world.state.amount.N = 1.0
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    world.catalog.entities["N"].life_product = {}
+    world.catalog.entities["N"].product_per_year_type = "H"
+    world.catalog.entities["N"].product_per_year_amount = 10
+    world.catalog.entities["N"].auto = 0
+    world.state.amount.N = 1
     return world
 
 func dispose(world) -> void:
-    for entity in world.entities.values():
+    for entity in world.catalog.entities.values():
         entity.free()
     world.free()
 
 func run() -> void:
     var saves: Node = root.get_node("SaveManager")
     var world = fixture()
-    world.evolute(0.09)
-    check(world.state.time.year == 0.0, "Do not process before a tenth boundary")
-    check(world.state.amount.H == 0.0, "No premature production")
-    world.evolute(0.01)
-    check(world.state.time.year == 0.1, "Process the first tenth")
-    check(world.state.amount.H == 1.0, "Production runs at 0.1 year")
-    world.evolute(0.2)
-    check(world.state.time.year == 0.3 and world.state.amount.H == 3.0, "Do not reprocess previous tenths")
+    world.evolute(E.of("0.09"))
+    check(E.eq(world.state.time.year, 0), "Do not process before a tenth boundary")
+    check(E.eq(world.state.amount.H, 0), "No premature production")
+    world.evolute(E.of("0.01"))
+    check(E.eq(world.state.time.year, E.of("0.1")), "Process the first tenth")
+    check(E.eq(world.state.amount.H, 1), "Production runs at 0.1 year")
+    world.evolute(E.of("0.2"))
+    check((E.eq(world.state.time.year, E.of("0.3")) and E.eq(world.state.amount.H, 3)), "Do not reprocess previous tenths")
     var before: Dictionary = world.state.duplicate(true)
-    for invalid in [0.0, -1.0, NAN, INF, 1e308]:
+    for invalid in [0, E.neg(1), NAN, INF, 1e308]:
         world.evolute(invalid)
-        check(world.state == before, "Invalid/overflow interval rejected")
-    check(saves.validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Fractional save is valid")
+        check(E.eq(world.state, before), "Invalid/overflow interval rejected")
+    check(E.eq(saves.validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Fractional save is valid")
     var invalid_save: Dictionary = world.state.duplicate(true)
-    invalid_save.time.year = 0.25
-    check(saves.validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": invalid_save}) != "", "Reject inconsistent fractional clock")
+    invalid_save.time.year = E.of("0.25")
+    check(E.ne(saves.validate_data({"format_version": 5, "app_version": "", "ui": {"current_page": 0}, "state": invalid_save}), ""), "Reject inconsistent fractional clock")
     dispose(world)
 
     for fps in [30, 60, 144]:
         world = fixture()
         for frame in fps:
-            world.evolute(1.0 / fps)
-        check(world.state.time.year == 1.0, "One second at %d fps" % fps)
-        check(world.state.amount.H == 10.0, "Production across frames at %d fps" % fps)
+            world.evolute(E.divide(1, fps))
+        check(E.eq(world.state.time.year, 1), ("One second at %d fps" % fps))
+        check(E.eq(world.state.amount.H, 10), ("Production across frames at %d fps" % fps))
         dispose(world)
 
     world = fixture()
-    world.evolute(0.05)
+    world.evolute(E.of("0.05"))
     world.speed = 2
-    world.evolute(0.005)
-    check(world.state.time.year == 0.1, "Speed change preserves accumulated fraction")
+    world.evolute(E.of("0.005"))
+    check(E.eq(world.state.time.year, E.of("0.1")), "Speed change preserves accumulated fraction")
     world.speed = 100
-    check(world.speed == 5 and world.state.speed_in_year == 10000.0, "Upper speed limit unchanged")
-    world.speed = -10
-    check(world.speed == 1 and world.state.speed_in_year == 1.0, "Lower speed limit unchanged")
+    var speed_limit: int = root.get_node("Global").SPEED_LIMIT
+    check((E.eq(world.speed, speed_limit) and E.eq(world.state.speed_in_year, E.power(10, E.subtract(speed_limit, 1)))), "Configured upper speed limit")
+    world.speed = E.neg(10)
+    check((E.eq(world.speed, 1) and E.eq(world.state.speed_in_year, 1)), "Lower speed limit unchanged")
     dispose(world)
 
     world = fixture()
     dispose(world)
 
     world = fixture()
-    world.entities.N.output_and = {"He": 1.0}
-    world.entities.N.output_or = {}
-    world.state.batches.N = [{"start_year": 0.1, "end_year": 0.1, "amount": 1.0}]
-    world.evolute(0.1)
-    check(world.state.amount.N == 0.0 and world.state.amount.He == 1.0, "Existing evolution executes at fractional boundary")
+    world.catalog.entities.N.output_and = {"He": 1}
+    world.catalog.entities.N.output_or = {}
+    world.state.batches.N = [{"start_year": E.of("0.1"), "end_year": E.of("0.1"), "amount": 1}]
+    world.evolute(E.of("0.1"))
+    check((E.eq(world.state.amount.N, 0) and E.eq(world.state.amount.He, 1)), "Existing evolution executes at fractional boundary")
     dispose(world)
-    check(Clock.processed_year(0.099) == 0.0, "Do not round a genuine incomplete tenth forward")
-    check(Clock.processed_year(1e9 + 0.45) == 1e9 + 0.4, "Large ages preserve fractional precision")
-    print("Time state: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    check(E.eq(Clock.processed_year(E.of("0.099")), 0), "Do not round a genuine incomplete tenth forward")
+    check(E.eq(Clock.processed_year(E.add(E.of("1e9"), E.of("0.45"))), E.add(E.of("1e9"), E.of("0.4"))), "Large ages preserve fractional precision")
+    print(("Time state: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_ui_updates.gd

@@ -1,4 +1,5 @@
 extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
 
 var checks: int = 0
 var failures: int = 0
@@ -7,9 +8,9 @@ func _initialize() -> void:
     call_deferred("run")
 
 func check(value: bool, message: String) -> void:
-    checks += 1
-    if not value:
-        failures += 1
+    checks = E.add(checks, 1)
+    if (not value):
+        failures = E.add(failures, 1)
         push_error(message)
 
 func run() -> void:
@@ -22,34 +23,39 @@ func run() -> void:
     await process_frame
     stage.stage_page_scroller.scroll_horizontal = stage.PAGE_WIDTH
     await process_frame
-    stage.owniverse.state.amount.H = 1000.0
-    stage.owniverse.state.amount.RD = 2.0
-    stage.owniverse.refresh_item_amounts()
-    stage._update_ui(0.0)
+    stage.owniverse.state.amount.H = 1000
+    stage.owniverse.state.amount.RD = 2
+    stage.owniverse.presentation.refresh(stage.owniverse.state, stage.owniverse.catalog)
+    stage.set_owniverse_item_value()
     var hydrogen = stage.owniverse_items.H
     var dwarf = stage.owniverse_items.RD
-    check(hydrogen.description.text == "1 000", "Visible page updates immediately on navigation")
-    check(dwarf.description.text == "", "Offscreen counters are not rendered")
-    stage.owniverse.state.amount.H = 2000.0
-    stage.owniverse.refresh_item_amounts()
-    check(stage.owniverse.item_amounts_dirty and stage.owniverse.items_to_update.H == 1000.0, "Simulation invalidates without recalculating display sums")
-    stage._update_ui(0.05)
-    check(hydrogen.description.text == "1 000", "No refresh before interval")
-    stage._update_ui(0.051)
-    check(hydrogen.description.text == "2 000" and not stage.owniverse.item_amounts_dirty, "Latest state appears at interval")
+    check(E.eq(hydrogen.description.text, "1 000"), "Pending quantities reach controls")
+    check(E.eq(dwarf.description.text, "2"), "Other page receives its current quantity")
+    check(stage.owniverse.presentation.pending_amounts.is_empty(), "Published queue is consumed by Stage")
+    stage.owniverse.presentation.deferred_updates = true
+    stage.owniverse.state.amount.H = 2000
+    stage.owniverse.presentation.refresh(stage.owniverse.state, stage.owniverse.catalog)
+    check((stage.owniverse.presentation.dirty and stage.owniverse.presentation.pending_amounts.is_empty()), "Deferred refresh marks dirty without republishing")
+    stage.set_owniverse_item_value()
+    check(E.eq(hydrogen.description.text, "1 000"), "Labels retain last published quantity")
+    stage.owniverse.presentation.refresh(stage.owniverse.state, stage.owniverse.catalog, true)
+    stage.set_owniverse_item_value()
+    check((E.eq(hydrogen.description.text, "2 000") and (not stage.owniverse.presentation.dirty)), "Forced refresh publishes latest state")
+    stage.owniverse.presentation.deferred_updates = false
     stage.item_activated(hydrogen)
-    check(hydrogen.description.text == root.get_node("Global").format_number(stage.owniverse.state.amount.H), "Player production updates counter immediately")
-    check(stage.owniverse.state.amount.H > 2000.0, "Production action actually executed")
+    stage.set_owniverse_item_value()
+    check(E.eq(hydrogen.description.text, root.get_node("Global").format_number(stage.owniverse.state.amount.H)), "Player production publishes the new quantity")
+    check(E.gt(stage.owniverse.state.amount.H, 2000), "Production action actually executed")
     dwarf.visible = true
-    stage.stage_page_scroller.scroll_horizontal = 2 * stage.PAGE_WIDTH
+    stage.stage_page_scroller.scroll_horizontal = E.multiply(2, stage.PAGE_WIDTH)
     await process_frame
-    stage._update_ui(0.0)
-    check(dwarf.description.text == "2", "Newly visible page receives cached latest values")
-    stage.owniverse.state.time.year = 1234.5
-    stage._update_ui(0.1)
-    check(stage.date_time.text == "1 234.5", "Time uses throttled display with tenths")
-    for entity in stage.owniverse.entities.values(): entity.free()
+    stage._refresh_universe_ui()
+    check(E.eq(dwarf.description.text, "2"), "Newly visible page receives cached latest values")
+    stage.owniverse.state.time.year = E.of("1234.5")
+    stage._refresh_universe_ui()
+    check(E.eq(stage.date_time.text, "1 234.5"), "Time displays tenths with thousands separator")
+    for entity in stage.owniverse.catalog.entities.values(): entity.free()
     stage.owniverse.free()
     scene.free()
-    print("UI updates: %d checks, %d failures" % [checks, failures])
-    quit(0 if failures == 0 else 1)
+    print(("UI updates: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_world_indicators.gd

@@ -0,0 +1,189 @@
+extends SceneTree
+const E = preload("res://world/owniverse/math/exact.gd")
+const CivilizationState = preload("res://world/owniverse/civilization_state.gd")
+const CivilizationEvolution = preload("res://world/owniverse/civilization_evolution.gd")
+
+const Parameters = preload("res://world/owniverse/world_parameters.gd")
+const Descriptions = preload("res://world/owniverse/item_description.gd")
+var checks: int = 0
+var failures: int = 0
+
+func _initialize() -> void:
+    call_deferred("run")
+
+func check(condition: bool, message: String) -> void:
+    checks = E.add(checks, 1)
+    if (not condition):
+        failures = E.add(failures, 1)
+        push_error(message)
+
+func fixture():
+    var world = load("res://world/owniverse/owniverse.gd").new()
+    for id in root.get_node("Global").OwniverseEntities:
+        var entity = load("res://world/owniverse/owniverse_entity.gd").new(root.get_node("Global").OwniverseEntities[id])
+        world.catalog.entities[id] = entity
+        world.state.amount[id] = 0
+        world.state.stats.total_amount[id] = 0
+        if E.ne(entity.group_as, ""):
+            world.state.amount[entity.group_as] = 0
+            world.state.stats.total_amount[entity.group_as] = 0
+    return world
+
+func dispose(world) -> void:
+    for entity in world.catalog.entities.values(): entity.free()
+    world.free()
+
+func run() -> void:
+    var global: Node = root.get_node("Global")
+    var world = fixture()
+    world.state.amount.RD = 400
+    world.batches.append_batch(world.state, "RD", 400, 0, 0)
+    var end: Variant = world.state.batches.RD[0].end_year
+    world.environment.modify_world_parameter("Bur", 9)
+    check(E.near(world.state.batches.RD[0].end_year, E.divide(end, 10)), "Burnability accelerates existing cohorts")
+    var count: Variant = world.state.batches.RD[0].amount
+    world.environment.modify_world_parameter("Bur", E.neg(9))
+    check((E.near(world.state.batches.RD[0].end_year, end) and E.eq(world.state.batches.RD[0].amount, count)), "Changing burnability back preserves population and lifetime")
+    world.environment.modify_world_parameter("Bur", 9)
+    world.batches.append_batch(world.state, "YD", 10, 0, 0)
+    check(E.near(world.state.batches.YD[0].start_year, E.divide(world.catalog.entities.YD.lifespan, 10)), "New stars use the same burnability")
+    world.state.time = {"datetime": E.subtract(E.divide(end, 10), E.of("0.1")), "year": E.subtract(E.divide(end, 10), E.of("0.1"))}
+    world.batches.withdraw_batches(world.state, "RD", world.state.time.year)
+    world.environment.modify_world_parameter("Bur", E.neg(18))
+    check(E.ge(world.state.batches.RD[0].end_year, world.state.time.year), "Slowing a partially evolved cohort keeps its remaining window in the future")
+    world.environment.modify_world_parameter("Exp", 9)
+    check(E.eq(world.stellar.evolution_products(world.state, world.catalog.entities.SN, 2).blast, 180), "Explosion power includes world explosiveness")
+    var products: Dictionary = world.stellar.evolution_products(world.state, world.catalog.entities.HRG, 1000)
+    check((E.eq(products.get("GRB", 0), 100) and E.eq(products.get("SN", 0), 900)), "Explosiveness raises rare-event probability without duplicating stars")
+    world.catalog.entities.HRG.output_or.chance = 50
+    products = world.stellar.evolution_products(world.state, world.catalog.entities.HRG, 100)
+    check((E.eq(products.get("GRB", 0), 100) and E.eq(products.get("SN", 0), 0)), "Rare-event probability is bounded at one")
+    dispose(world)
+
+    world = fixture()
+    var ordinary: Dictionary = world.life.life_products(world.state, world.catalog.entities.HP, 1000000)
+    world.state.life_remainders.clear()
+    world.environment.modify_world_parameter("Agg", 9)
+    var aggressive: Dictionary = world.life.life_products(world.state, world.catalog.entities.HP, 1000000)
+    check(E.gt(aggressive.EON1, ordinary.EON1), "Aggression accelerates primitive evolution")
+    world.state.life_remainders.clear()
+    world.state.world_parameters.Order = 10
+    var orderly: Dictionary = world.life.life_products(world.state, world.catalog.entities.HP, 1000000)
+    check(E.lt(orderly.RP, aggressive.RP), "Order reduces degradation")
+    world.state.life_remainders.clear()
+    world.state.world_parameters.Enlightenment = 10
+    var enlightened: Dictionary = world.life.life_products(world.state, world.catalog.entities.HP, 1000000)
+    check(E.gt(enlightened.EON1, orderly.EON1), "Enlightenment increases primitive progress")
+    dispose(world)
+
+    world = fixture()
+    var hotter = fixture()
+    for simulation in [world, hotter]:
+        simulation.state.amount.RD = 1000000
+        simulation.batches.append_batch(simulation.state, "RD", 1000000, 0, 0)
+    hotter.environment.modify_world_parameter("Bur", 9)
+    world.evolute(1000)
+    hotter.evolute(1000)
+    check(E.gt(hotter.state.amount.S, world.state.amount.S), "Burnability changes actual space production")
+    check(E.eq(E.add(hotter.state.energy, hotter.state.amount.S), Parameters.INITIAL_ENERGY), "Enhanced production still spends the GI energy budget")
+    dispose(world)
+    dispose(hotter)
+
+    world = fixture()
+    world.state.amount["C0.2"] = 1000000
+    world.state.ethics["C0.2"] = {"m": 1000000}
+    var baseline: Dictionary = world.state.duplicate(true)
+    var advanced: Dictionary = baseline.duplicate(true)
+    advanced.world_parameters.Agg = 19
+    var next_stage: String = global.CivilizationRules["C0.2"].next
+    var outcomes: Array = []
+    for target in [baseline, advanced]:
+        var expired: Dictionary = {"C0.2": [{"amount": 1000000, "from": 0, "to": 1}]}
+        var budget: Dictionary = CivilizationState.stellar_budget(world, target, global.CivilizationRules)
+        CivilizationEvolution.prepare(world, target, expired, 1, budget, global.CivilizationRules)
+        outcomes.append(expired["C0.2"][0].products.get(next_stage, 0))
+    check(E.gt(outcomes[1], outcomes[0]), "Aggression changes actual ethical civilization transitions")
+    dispose(world)
+
+    # Trends use ethical proportions and stage weights, not population magnitude.
+    world = fixture()
+    var rules: Dictionary = {"C2.0": {"home": "DwStar"}, "C2.1": {"home": "DwStar"}}
+    world.state.ethics = {"C2.0": {"d": 100}, "C2.1": {"d": 100}}
+    var source: Dictionary = world.state.duplicate(true)
+    var single: Dictionary = source.duplicate(true)
+    var split: Dictionary = source.duplicate(true)
+    Parameters.advance(source, single, rules, 1000000)
+    for i in 10: Parameters.advance(source, split, rules, 100000)
+    check(E.near(single.trends.Integration, E.of("0.018")), "Trend integrates elapsed years and doubled stage weights")
+    for key in Parameters.TRENDS:
+        check(E.near(single.trends[key], split.trends[key]), E.add("Trend is independent of frame partition: ", key))
+    source.ethics["C2.0"].d = 1000000
+    var larger: Dictionary = world.state.duplicate(true)
+    Parameters.advance(source, larger, rules, 1000000)
+    check(E.near(larger.trends.Integration, single.trends.Integration), "Population proportions determine trend influence")
+    world.state.trends.Integration = E.of("0.99")
+    Parameters.advance(source, world.state, rules, 100000000)
+    check(E.eq(world.state.civilization_stats["trend:Integration"], 2), "Long steps process every crossed threshold")
+    check(E.near(world.state.trends.Integration, E.of("0.79")), "Threshold crossing preserves the fractional remainder")
+    check(((E.gt(world.state.world_parameters.Federation, 1) or E.gt(world.state.world_parameters.Enlightenment, 1)) or E.gt(world.state.world_parameters.Order, 1)), "Integration events change the world")
+    var restored: Dictionary = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
+    Parameters.advance(source, world.state, rules, 100000000)
+    Parameters.advance(source, restored, rules, 100000000)
+    check(E.eq(world.state, restored), "Trend events resume identically after serialization")
+    Parameters.advance(source, world.state, rules, E.of("1.0e12"))
+    check((E.ge(world.state.trends.Integration, 0) and E.lt(world.state.trends.Integration, 1)), "Very large intervals finish with a valid trend fraction")
+    check(E.ge(world.state.world_parameters.Agg, 1), "Repeated integration events cannot reduce aggression below the scale")
+    var payload: Dictionary = {"format_version": 5, "app_version": "test", "ui": {"current_page": 1}, "state": world.state}
+    var manager: Node = root.get_node("SaveManager")
+    check(E.eq(manager.validate_data(payload), ""), "New parameters and trends pass save validation")
+    var old: Dictionary = payload.duplicate(true)
+    old.state.erase("world_parameters")
+    old.state.erase("trends")
+    check(E.eq(manager.validate_data(old), ""), "Existing current-format saves remain readable")
+    payload.state.world_parameters.Agg = 20
+    check(E.ne(manager.validate_data(payload), ""), "Out-of-range scales are rejected")
+    dispose(world)
+
+    for sample in [[E.of("1e-7"), 0], [E.of("1e-6"), E.of("0.5")], [E.of("1e-5"), 1], [E.of("0.9"), 0], [E.of("0.95"), E.of("0.5")], [1, 1]]:
+        check(E.near(Parameters.density_display(sample[0]).position, sample[1]), E.add("Density boundary ", str(sample[0])))
+    # The fixture overrides saving/loading; the player's save is never accessed.
+    var scene = load("res://world/world.tscn").instantiate()
+    var stage = scene.get_node("Stage")
+    stage.owniverse.free()
+    stage.set_script(load("res://tests/fixtures/ui_stage.gd"))
+    root.add_child(scene)
+    await process_frame
+    await process_frame
+    stage.owniverse.state.energy = E.divide(Parameters.INITIAL_ENERGY, 4)
+    stage.owniverse.state.world_parameters.Bur = 19
+    stage.owniverse.state.trends.Integration = E.of("0.75")
+    stage.world_indicators.update(stage.owniverse)
+    var warning: TextureRect = scene.get_node("Background/WarningBorder")
+    check(E.eq(warning.mouse_filter, Control.MOUSE_FILTER_IGNORE), "Warning overlay does not block input")
+    var environments: Array = [[E.of("1.0e-7"), "ff0000ff"], [E.of("1.0e-6"), "df2020bf"], [E.of("1.0e-5"), "c040407f"], [E.of("0.1"), "00000000"], [E.of("0.9"), "40a0c07f"], [E.of("0.97"), "20b0dfbf"], [1, "00c0ffff"], [E.of("0.1"), "00000000"]]
+    for sample in environments:
+        check(Parameters.density_warning_color(sample[0]).is_equal_approx(Color.html(sample[1])), E.add("Unity warning threshold: ", str(sample[0])))
+    stage.owniverse.state.amount.H = E.of("1e14")
+    stage.world_indicators.update(stage.owniverse)
+    check(warning.self_modulate.is_equal_approx(Color.html("00c0ffff")), "Compression warning uses current universe density")
+    stage.owniverse.state.amount.H = 0
+    stage.owniverse.state.amount.S = E.of("1e24")
+    stage.world_indicators.update(stage.owniverse)
+    check(warning.self_modulate.is_equal_approx(Color.html("ff0000ff")), "Rip warning replaces compression warning")
+    stage.owniverse.state.amount.S = 0
+    stage.world_indicators.update(stage.owniverse)
+    check(E.eq(warning.self_modulate.a, 0), "Warning clears when density returns to normal")
+    for bar in stage.world_indicators.energy_bars:
+        check(E.eq(bar.scale.x, E.of("0.25")), "Energy fill is synchronized on both pages")
+    var pointer: Control = stage.world_indicators.pointers.Bur
+    check(E.near(E.add(pointer.position.x, E.divide(pointer.size.x, 2)), 304), "Burnability pointer reaches the correct scale endpoint")
+    check(E.eq(stage.world_indicators.trend_bars[1].scale.y, E.of("0.75")), "Trend bar displays its stored level")
+    for locale in ["en", "ru"]:
+        global.Locale = locale
+        for id in ["Energy", "Density", "Burnability", "Explosiveness", "Aggression", "Trends"]:
+            var description: String = Descriptions.render(stage.owniverse, global, id, "Indicator")
+            check(((not description.contains("—")) and (not description.contains("%value"))), E.add(E.add(E.add("Resolved indicator description: ", locale), "/"), id))
+    dispose(stage.owniverse)
+    scene.free()
+    print(("World indicators: %d checks, %d failures" % [checks, failures]))
+    quit((0 if E.eq(failures, 0) else 1))

tests/test_world_indicators.gd.uid

@@ -0,0 +1 @@
+uid://dmldg06dx3utl

ui/achievements/achievements.en.txt

@@ -0,0 +1,200 @@
+|a1|1|age::1E9|age::1E9|A good start!|The Universe exists for a billion years.
+|a2|3|age::1E10|age::1E10|Middle age.|The Universe exists for a ten billions years.
+|a3|6|age::1E11|age::1E11|Impressive term.|The Universe exists for a hundred billions years.
+|a4|10|age::1E12|age::1E12|Isn't it too long?|The Universe exists for a trillion years.
+||1||uptime|The universe is under your control for 13 minutes in a row.|Not bad for a start!
+||3|||The universe is under your control for 34 minutes in a row.|It would be worse without you.
+||6|||The universe is under your control for 1 hour 29 minutes in a row.|Don't draw unnecessary attention.
+||10|||The universe is under your control for 3 hours 53 minutes in a row!|You can also relax, this is the final achievement in this line!
+||1||played|You rule the universe for 8 hours.|Its inhabitants should be grateful to you.
+||3|||You rule the universe for 21 hours.|Surely a lot has become clear by now.
+||6|||You rule the universe for 2 days and 7 hours.|Tell your friends about the game!
+||10|||You rule the universe for 6 days.|Share your experience on social networks!
+|a25|1||total:H:1000|Get total 1 000 hydrogen|
+|a26|1|total:H:5E4|total:H:1E6|Get total 1 million hydrogen|
+|a27|1|total:H:5E7|total:H:1E9|Get total 1 billion hydrogen|
+|a28|3|total:H:5E10|total:H:1E12|Get total 1 trillion hydrogen|
+|a29|3|total:H:5E13|total:H:1E15|Get total 1 quadrillion hydrogen|
+|a30|3|total:H:5E16|total:H:1E18|Get total 1 quintillion hydrogen|
+|a31|6|total:H:5E19|total:H:1E21|Get total 1 sextillion hydrogen|
+|a32|6|total:H:5E22|total:H:1E24|Get total 1 septillion hydrogen|
+||1||total:S:1000|Create 1 000 cubic parsecs of space|
+||1|total:S:5E4|total:S:1E6|Create 1 million cubic parsecs of space|
+||1|total:S:5E7|total:S:1E9|Create 1 billion cubic parsecs of space|
+||3|total:S:5E10|total:S:1E12|Create 1 trillion cubic parsecs of space|
+||3|total:S:5E13|total:S:1E15|Create 1 quadrillion cubic parsecs of space|
+||3|total:S:5E16|total:S:1E18|Create 1 quintillion cubic parsecs of space|
+||6|total:S:5E19|total:S:1E21|Create 1 sextillion cubic parsecs of space|
+||6|total:S:5E22|total:S:1E24|Create 1 septillion cubic parsecs of space|
+||1|total:He:1000|total:He:1000|Obtain 1 billion helium|
+||3|total:He:1E12|total:He:1E12|Obtain 1 quadrillion helium|
+||6|total:He:1E21|total:He:1E21|Obtain 1 sextilion helium|
+||1|||Use up 1 million helium|
+||3|||Use up 1 trillion helium|
+||6|||Use up 1 quintillion helium|
+||1|total:Voids:5|total:Voids:25|Form 25 voids|
+||1|total:Voids:25|total:Voids:125|Form 125 voids|
+||1|total:Voids:125|total:Voids:625|Form 625 voids|
+||3|total:Voids:625|total:Voids:3125|Form 3125 voids|
+||3|total:Voids:3125|total:Voids:15625|Form 15625 voids|
+||6|total:Voids:15625|total:Voids:78125|Form 78125 voids|Keep up the good work, without voids the universe is doomed!
+|a33|10|energy::1E27|energy::1E27|Out of ammo!|All energy cache is spent.
+|a5|1||total:Star:1|Make a Star|
+|a6|1|total:OD:1|total:OD:1|Make an Orange Dwarf|
+|a7|1||total:YD:1|Make a Yellow Dwarf|
+|a8|1|total:WYD:1|total:WYD:1|Make a White-Yellow Dwarf|
+|a9|1|total:YG:1|total:YG:1|Make a Yellow Giant|
+|a10|1||total:BG:1|Make a Blue Giant|
+|a11|1|total:BG:1|total:SG:1|Make a Supergiant|
+|a12|1|total:SG:1|total:HG:1|Make a Hypergiant|
+|a13|1||total:WD:1|Get a White Dwarf|
+|a14|1||total:NS:1|Get a Neutron Star|
+|a15|1|total:NS:1|total:MGT:1|Get a Magnetar|
+|a16|1||total:BH:1|Get a Black Hole|
+|a17|1|total:BH:1|total:SMBH:1|Make a Supermassive Black Hole|
+|a18|1||total:N:1|Make a Nebula|
+|a19|1|total:N:1|total:G:1|Make a Globula|
+|a20|1|total:G:1|total:STN:1|Make a Star Nursery|
+|a21|1|total:G:1|total:MC:1|Make a Molecular Cloud|
+|a22|3|total:STN:1|total:ASTN:1|Make an Active Star Nursery|
+|a23|3|total:MC:100|total:MC:1E4|Make 10 000 Molecular Clouds|
+|a34|1|auto:Star:1|auto:Star:10|Make 10 stars via clouds|
+|a35|1|auto:Star:10|auto:Star:1000|Make 1 000 stars via clouds|
+|a36|3|auto:Star:1000|auto:Star:1E6|Make 1 million stars via clouds|
+|a37|1|total:Star:30|total:Star:300|Make 300 stars|
+|a38|1|total:OD:1|total:OD:2000|Make 2 000 orange dwarfs|
+|a39|1|total:WYD:1|total:WYD:500|Make 500 white-yellow dwarfs|
+|a40|1|total:BD:1|total:BD:1E6|Make 1 million brown dwarfs|
+|a41|3|total:HG:1000|total:HG:1000|Someone must need them, of course?|Make 1 000 hypergiants.
+|a42|3|total:Star:5000|total:Star:1E7|Make 10 million stars|
+||3|total:Star:4E9|total:Star:4E11|Make 400 billion stars|
+||3|total:Star:9E12|total:Star:9E14|Make 90 quadrillion stars|
+|a43|3|total:SMBH:1|total:SMBH:1E4|Drop 10 000 matter into Supermassive Black Holes|
+||3|total:SMBH:3E5|total:SMBH:4.2E7|Drop 42 million matter into Supermassive Black Holes|Sagittarius A* weighs about as much.
+||3|total:SMBH:3E9|total:SMBH:6.6E11|Drop 660 billion matter into Supermassive Black Holes|TON 618 weighs about as much.
+|a44|1||total:SC:1|Make a Star Cluster|
+|a45|1||total:SCM:1|Make a Medium Star Cluster|
+|a46|1|total:SC:1|total:SCL:1|Make a Large Star Cluster|
+|a47|3|total:SCL:1|total:SCG:1|Make a Giant Star Cluster|
+|a48|3|total:SC:10|total:SC:100|Make 100 Star Clusters|
+|a49|1||total:GAL:1|Make a Galaxy|
+|a50|3|total:GAL:1|total:GALS:1|Make a Spiral Galaxy|
+|a51|1||total:GEM:1|Make a Medium Galaxy|
+|a52|1|total:GAL:1|total:GEL:1|Make a Large Galaxy|
+|a53|3|total:GEL:1|total:GEG:1|Make a Giant Galaxy|
+|a54|3|total:GAL:5|total:GAL:30|Make 30 Galaxies|
+|a55|1|total:GAL:30|total:LGG:1|Make a Galactic Group|
+|a56|3|total:LGG:1|total:LGG:30|Make 30 Galactic Groups|
+|a57|3|total:LGG:30|total:LSC:1|Make a Galactic Supercluster|
+|a58|3|total:LSC:1|total:LSC:30|Make 30 Galactic Superclusters|
+|a59|6|total:LSC:30|total:LGF:1|Make a Galactic Filament|
+|a60|6|total:LGF:1|total:LGF:100|Make 100 Galactic Filaments|
+|a61|6|total:LGF:100|total:LGW:1|Make a Great Wall|
+|a62|6|total:LGW:1|total:LGW:100|Make 100 Great Walls|
+|a63|6|total:LGW:100|total:LUB:1|Make an Universe Bubble|
+|a64|10|total:LUB:1|total:LUB:1|It had to end sometime!|The large-scale structure of the universe has been created.
+1|a65|1||Planet:1|Make a planet|
+1|a66|1|GG:1^AB:1|RP:1|Make a rocky planet|
+1|a67|1|RP:1|HP:1|Make a habitable planet|
+1|a68|3||EON1:1|Make life|
+1|a69|1|EON1:1|EON2:1|Grow amoebas and algae|
+1|a70|1|EON2:1|EON3:1|Grow trilobites and fishes|
+1|a71|1|EON3:1|EON4:1|Grow dinosaurs and birds|
+1|a72|1|EON4:1|EON5:1|Grow mammals and prepare yourself...|
+1|a73|1|Planet:1|Planet:1E5|Make 100 000 planets|
+1|a74|1|HP:1|HP:1E4|Make 10 000 habitable planets|
+1|a75|3|EON1:1|EON1:1000|Make life at 1 000 planets|
+1|a76|6|C0.0:1|C0.0:1|Sapience emerged!|
+1|a77|1|C0.0:1|C0.5:1|They can make pots out of clay!|A civilization has reached 0.5 level.
+1|a78|3|C0.7:1|C1.0:1|They have mastered their home planet!|A civilization has reached 1.0 level.
+1|a79|1|C1.3:1|C1.5:1|They have built a space city!|A civilization has reached 1.5 level.
+1|a80|6|C1.7:1|C2.0:1|They have a Dyson Swarm!|A civilization has reached 2.0 level.
+1|a81|1|C2.2:1|C2.2:1|They seem to grow at last!|A civilization has settled over a hundred of stars.
+1|a82|1|C2.5:1|C2.5:1|They are almost noticeable by a naked eye!|A civilization has settled over a Medium Star Cluster.
+1|a83|3|C2.8:1|C2.8:1|Oh, they grasped how to control gravity at last!|A civilization has reached 2.8 level.
+1|a84|6|C3.0:1|C3.0:1|They really have learned to fly!|A civilization is able to travel between Galaxies.
+1|a85|3|C3.2:1|C3.2:1|They must be so proud of themselves!|A civilization has settled on a scale of an Andromeda Galaxy.
+1|a86|3|C3.5:1|C3.5:1|Hey, they are resourceful!|A civilization has utilized a Neutron Star resources.
+1|a87|3|C3.8:1|C3.8:1|Now they actually easy to notice.|A civilization has settled over hundreds of thousands Galaxies.
+1|a88|6|C4.0:1|C4.0:1|Feels like this has happened already, no?|A civilization has grasp on temporal manipulations.
+1|a89|6|C4.2:1|C4.2:1|At last they seem to think big enough.|A civilization has utilized a Supermassive Black Hole for their goals.
+1|a90|10|C4.4:1|C4.4:1|They've made it! What will they do next, I wonder?|A civilization has expanded on a scale of a whole visible Universe.
+1|a91|3|C1.6:1|SET:1|They have made an extrasolar colony!|
+1|a92|6||GSM:1&C2.8:50|They seem to have found a Galactic Federation or something!|
+1|a93|1|||Oh no...|A civilization of 0.8+ level extinct.
+1|a94|1|||Not again!|100 civilizations of 1.2+ level extinct.
+1|a95|1|||Will I get used to it?|1 000 civilizations of 1.6+ level extinct.
+1|a96|3|||Yeah, you become numb after a while.|10 000 civilizations of 2.0+ level extinct.
+1|a97|6|||They seemed to be survivors. Oh well.|A civilization of 3.0+ level extinct.
+1|a98|10|||My dissapointment is immeasureable.|A civilization of 4.0+ level extinct.
+1|a99|6|||This reminds me of something...|At the date of 13.8 billions of years there is a civilization of 0.9 level.
+1|a102|3|высокая плотность|BigCrunch|Big Crunch!|The universe collapsed into a colossal black hole.
+1|a103|3|низкая плотность|BigRip|Big Rip!|The universe dissipated in different directions.
+1|a104|6|BigCrunch^BigRip|BigCrunch&BigRip|Double Trouble!|Two different apocalypses are finished.
+1||10|||Complete banishment! You have been kicked out of the universe.|Now this universe exists by itself, without your participation.
+1||3|||Antitheism: They deny your existence.|Maybe they are somehow right about that?
+1||3|||Integration: They strive for coexistence.|Maybe at least they can make it?
+1||3|||Xenocide: Their bellicosity leads to dire results.|However, nothing is new.
+1||3|||Reconstruction: They rearrange the universe.|It is their universe, right? Or not?
+1||3|||Spirituality: They seek deep meaning.|What if they find out the truth?
+1||3|||Exodus: They want to leave the universe.|What do they not like here?
+1||6|||Dynamic Universe|All trends have shown themselves!
+1||3|||Banishment: They are trying to expel you from the universe!|They definitely don't like something.
+1||3|||Federation: They are looking for ways to peacefully coexist.|Perhaps this is good?
+1||3|||Enlightenment: They help those who are lagging behind.|How lovely!
+1||3|||New Order: They bury the hatchet.|Maybe it's for the best?
+1||3|||Grand Wars: They are engaged into carnage of epic proportions.|It is a pity that it is impossible to discern all the details from here.
+1||3|||Extermination: They are purging potential competitors.|Life is a renewable resource.
+1||3|||Devastation: They are destroying the universe!|Stars turn into black holes.
+1||3|||Stellar Fragmentation: They reconstruct the universe for themselves.|It is more convenient for them to live on small and stable stars.
+1||3|||Stellar Pumping: They create new stars!|Red dwarfs are created from clouds and brown dwarfs.
+1||3|||Stellar Cooling: They stabilize the stars.|The activity of stellar processes is decreasing.
+1||3|||Prayer: They pray incredibly fervently.|You were even able to hear something.
+1||3|||Dialogue: They are waiting for an answer!|And it is you who should answer.
+1||3|||Living Universe|10 civilization actions have taken place.
+1||6|||Very Living Universe|30 civilization actions have taken place.
+1||10|||Incredibly Alive Universe!|100 civilization actions have taken place.
+1||10|||So much is happening!|All actions happened at least once!
+||1|сила получена|сила применена|Learn to dig fast.|Use Shovelin
+||1|сила получена|сила применена|Kickstart inflation.|Use Inflatin
+||3|сила получена|сила применена|Pass time.|Use Temporite
+||3|сила получена|сила применена|Dispose of garbage.|Use Collisite
+||6|сила получена|сила применена|Divide physics by zero.|Use Primex
+||1|сила получена|сила применена|Destroy space.|Use Singularite
+||1|сила получена|сила применена|Strengthen structures.|Use Renewin
+||3|сила получена|сила применена|Light up the stars.|Use Infusite
+||3|сила получена|сила применена|Cool down the universe.|Use Frostin
+||6|сила получена|сила применена|Get rid of the stars.|Use Destellarite
+||1|сила получена|сила применена|Make more planets.|Use Rockex
+||1|сила получена|сила применена|Seed the universe.|Use Panspermin
+||3|сила получена|сила применена|Fertilize the universe.|Use Gaianite
+||3|сила получена|сила применена|Invigorate the universe.|Use Darwinite
+||6|сила получена|сила применена|Fill the universe with goodness.|Use Edenex
+||1|сила получена|сила применена|Teach sapients to live in peace.|Use Pacifin
+||1|сила получена|сила применена|Teach sapients to fight for their lives.|Use Enragein
+||3|сила получена|сила применена|Appoint prophets among sapients.|Use Moralite
+||3|сила получена|сила применена|Punish those sapients who do not follow your plans.|Use Discriminite
+||6|сила получена|сила применена|Suppress those sapients who think too much of themselves.|Use Reprex
+||6|одна любая сила получена в 4 градациях|флэш|Use the forces of the one kind by increase of power.|Green, blue, purple, orange
+||3|снижена вручную|Bur=1|Cold universe.|Minimal Burnability
+||3|аналогично|Bur=19|The stars are lit to burn out!|Maximum Burnability
+||3|аналогично|Exp=1|Dense vacuum.|Minimal Explosiveness
+||3|аналогично|Exp=19|Bada-bing, bada-boom-boom-boom!|Maximum Explosiveness
+||3|аналогично|Agg=1|Peace and tranquility.|Minimal Aggression
+||3|аналогично|Agg=19|Like 4E4!|Maximum Aggression
+1|a101|6|||All forces are available at once!|
+1|a100|10|||All forces are used at least once in this universe.|
+||1|3 обычные силы одного вида||Upgrade a force to rare.|
+||3|3 редкие силы одного вида||Upgrade a force to epic.|
+||6|3 эпические силы одного вида||Upgrade a force to legendary.|
+||1|улучш 3 силы|5|Upgrade 5 forces.|
+||1|8|13|Upgrade 13 forces.|
+||3|21|34|Upgrade 34 forces.|
+||3|55|89|Upgrade 89 forces.|
+||6|144|233|Upgrade 233 forces.|
+||6|377|610|Upgrade 610 forces.|
+||10|987|1597|Upgrade 1 597 forces.|Continue in the same spirit!
+||1|1|3|Upgrade 3 force chests.|
+||3|5|7|Upgrade 7 force chests.|
+||6|14|20|Upgrade 20 force chests.|
+||10|38|55|Upgrade 55 force chests.|Thanks for support!

ui/achievements/achievements.ru.txt

@@ -0,0 +1,200 @@
+|a1|1|age::1E9|age::1E9|Хорошее начало!|Вселенная существует миллиард лет.
+|a2|3|age::1E10|age::1E10|Средний возраст.|Вселенная существует десять миллиардов лет.
+|a3|6|age::1E11|age::1E11|Внушительный срок.|Вселенная существует сто миллиардов лет.
+|a4|10|age::1E12|age::1E12|А не слишком ли это долго?|Вселенная существует триллион лет
+||1||uptime|Вселенная под вашим управлением 13 минут подряд.|Неплохо для начала!
+||3|||Вселенная под вашим управлением 34 минуты подряд.|Без вас было бы хуже.
+||6|||Вселенная под вашим управлением 1 час 29 минут подряд.|Не привлекайте ненужного внимания.
+||10|||Вселенная под вашим управлением 3 часа 53 минуты подряд!|Можно и отдохнуть, это финальное достижение в данной линейке!
+||1||played|Вы управляете вселенной 8 часов.|Её обитатели должны быть вам благодарны.
+||3|||Вы управляете вселенной 21 час.|Наверняка уже многое стало понятно.
+||6|||Вы управляете вселенной 2 суток и 7 часов.|Расскажите об игре друзьям!
+||10|||Вы управляете вселенной 6 суток.|Поделитесь опытом в социальных сетях!
+|a25|1||total:H:1000|Получи всего 1 000 водорода|
+|a26|1|total:H:5E4|total:H:1E6|Получи всего 1 миллион водорода|
+|a27|1|total:H:5E7|total:H:1E9|Получи всего 1 миллиард водорода|
+|a28|3|total:H:5E10|total:H:1E12|Получи всего 1 триллион водорода|
+|a29|3|total:H:5E13|total:H:1E15|Получи всего 1 квадриллион водорода|
+|a30|3|total:H:5E16|total:H:1E18|Получи всего 1 квинтиллион водорода|
+|a31|6|total:H:5E19|total:H:1E21|Получи всего 1 секстиллион водорода|
+|a32|6|total:H:5E22|total:H:1E24|Получи всего 1 септиллион водорода|
+||1||total:S:1000|Создай 1 000 кубических парсек пространства|
+||1|total:S:5E4|total:S:1E6|Создай 1 миллион кубических парсек пространства|
+||1|total:S:5E7|total:S:1E9|Создай 1 миллиард кубических парсек пространства|
+||3|total:S:5E10|total:S:1E12|Создай 1 триллион кубических парсек пространства|
+||3|total:S:5E13|total:S:1E15|Создай 1 квадриллион кубических парсек пространства|
+||3|total:S:5E16|total:S:1E18|Создай 1 квинтиллион кубических парсек пространства|
+||6|total:S:5E19|total:S:1E21|Создай 1 секстиллион кубических парсек пространства|
+||6|total:S:5E22|total:S:1E24|Создай 1 септиллион кубических парсек пространства|
+||1|total:He:1000|total:He:1000|Получи 1 миллиард гелия|
+||3|total:He:1E12|total:He:1E12|Получи 1 квадриллион гелия|
+||6|total:He:1E21|total:He:1E21|Получи 1 секстиллион гелия|
+||1|||Израсходуй 1 миллион гелия|
+||3|||Израсходуй 1 триллион гелия|
+||6|||Израсходуй 1 квинтиллион гелия|
+||1|total:Voids:5|total:Voids:25|Сформируй 25 войдов|
+||1|total:Voids:25|total:Voids:125|Сформируй 125 войдов|
+||1|total:Voids:125|total:Voids:625|Сформируй 625 войдов|
+||3|total:Voids:625|total:Voids:3125|Сформируй 3125 войдов|
+||3|total:Voids:3125|total:Voids:15625|Сформируй 15625 войдов|
+||6|total:Voids:15625|total:Voids:78125|Сформируй 78125 войдов|Продолжай в том же духе, без войдов вселенная обречена!
+|a33|10|energy::1E27|energy::1E27|На складе пусто!|Потрачен весь запас энергии.
+|a5|1||total:Star:1|Зажги звезду|
+|a6|1|total:OD:1|total:OD:1|Зажги оранжевого карлика|
+|a7|1||total:YD:1|Зажги жёлтого карлика|
+|a8|1|total:WYD:1|total:WYD:1|Зажги бело-жёлтого карлика|
+|a9|1|total:YG:1|total:YG:1|Зажги жёлтого гиганта|
+|a10|1||total:BG:1|Зажги голубого гиганта|
+|a11|1|total:BG:1|total:SG:1|Зажги сверхгиганта|
+|a12|1|total:SG:1|total:HG:1|Зажги гипергиганта|
+|a13|1||total:WD:1|Получи белого карлика|
+|a14|1||total:NS:1|Получи нейтронную звезду|
+|a15|1|total:NS:1|total:MGT:1|Получи магнетар|
+|a16|1||total:BH:1|Получи чёрную дыру|
+|a17|1|total:BH:1|total:SMBH:1|Создай сверхмассивную чёрную дыру|
+|a18|1||total:N:1|Создай туманность|
+|a19|1|total:N:1|total:G:1|Создай глобулу|
+|a20|1|total:G:1|total:STN:1|Создай звёздную колыбель|
+|a21|1|total:G:1|total:MC:1|Создай молекулярное облако|
+|a22|3|total:STN:1|total:ASTN:1|Создай активную звёздную колыбель|
+|a23|3|total:MC:100|total:MC:1E4|Создай 10 000 молекулярных облаков|
+|a34|1|auto:Star:1|auto:Star:10|Создай 10 звёзд с помощью облаков|
+|a35|1|auto:Star:10|auto:Star:1000|Создай 1 000 звёзд с помощью облаков|
+|a36|3|auto:Star:1000|auto:Star:1E6|Создай 1 миллион звёзд с помощью облаков|
+|a37|1|total:Star:30|total:Star:300|Зажги 300 звёзд|
+|a38|1|total:OD:1|total:OD:2000|Зажги 2 000 оранжевых карликов|
+|a39|1|total:WYD:1|total:WYD:500|Зажги 500 бело-жёлтых карликов|
+|a40|1|total:BD:1|total:BD:1E6|Зажги 1 миллион бурых карликов|
+|a41|3|total:HG:1000|total:HG:1000|Это кому-нибудь нужно?|Зажги 1 000 гипергигантов.
+|a42|3|total:Star:5000|total:Star:1E7|Зажги 10 миллионов звёзд|
+||3|total:Star:4E9|total:Star:4E11|Зажги 400 миллиардов звёзд|
+||3|total:Star:9E12|total:Star:9E14|Зажги 90 квадриллионов звёзд|
+|a43|3|total:SMBH:1|total:SMBH:1E4|Сбрось 10 000 вещества в сверхмассивные чёрные дыры|
+||3|total:SMBH:3E5|total:SMBH:4.2E7|Сбрось 42 миллиона вещества в сверхмассивные чёрные дыры|Примерно столько весит Стрелец А со звёздочкой.
+||3|total:SMBH:3E9|total:SMBH:6.6E11|Сбрось 660 миллиардов вещества в сверхмассивные чёрные дыры|Примерно столько весит TON 618.
+|a44|1||total:SC:1|Создай любое звёздное скопление|
+|a45|1||total:SCM:1|Создай среднее звёздное скопление|
+|a46|1|total:SC:1|total:SCL:1|Создай большое звёздное скопление|
+|a47|3|total:SCL:1|total:SCG:1|Создай гигантское звёздное скопление|
+|a48|3|total:SC:10|total:SC:100|Создай 100 звёздных скоплений|
+|a49|1||total:GAL:1|Создай любую галактику|
+|a50|3|total:GAL:1|total:GALS:1|Создай спиральную галактику|
+|a51|1||total:GEM:1|Создай среднюю галактику|
+|a52|1|total:GAL:1|total:GEL:1|Создай большую галактику|
+|a53|3|total:GEL:1|total:GEG:1|Создай гигантскую галактику|
+|a54|3|total:GAL:5|total:GAL:30|Создай 30 галактик|
+|a55|1|total:GAL:30|total:LGG:1|Создай группу галактик|
+|a56|3|total:LGG:1|total:LGG:30|Создай 30 групп галактик|
+|a57|3|total:LGG:30|total:LSC:1|Создай галактическое сверхскопление|
+|a58|3|total:LSC:1|total:LSC:30|Создай 30 галактических сверхскоплений|
+|a59|6|total:LSC:30|total:LGF:1|Создай галактическую нить|
+|a60|6|total:LGF:1|total:LGF:100|Создай 100 галактических нитей|
+|a61|6|total:LGF:100|total:LGW:1|Создай великую стену|
+|a62|6|total:LGW:1|total:LGW:100|Создай 100 великих стен|
+|a63|6|total:LGW:100|total:LUB:1|Создай вселенский пузырь|
+|a64|10|total:LUB:1|total:LUB:1|Это должно было когда-то закончиться!|Создана крупномасштабная структура вселенной.
+1|a65|1||Planet:1|Создай любую планету|
+1|a66|1|GG:1^AB:1|RP:1|Создай каменистую планету|
+1|a67|1|RP:1|HP:1|Создай обитаемую планету|
+1|a68|3||EON1:1|Создай жизнь|
+1|a69|1|EON1:1|EON2:1|Вырасти амёб и водоросли|
+1|a70|1|EON2:1|EON3:1|Вырасти трилобитов и рыб|
+1|a71|1|EON3:1|EON4:1|Вырасти динозавров и птиц|
+1|a72|1|EON4:1|EON5:1|Вырасти млекопитающих и приготовься...|
+1|a73|1|Planet:1|Planet:1E5|Создай 100 000 планет|
+1|a74|1|HP:1|HP:1E4|Создай 10 000 обитаемых планет|
+1|a75|3|EON1:1|EON1:1000|Создай жизнь на 1 000 планет|
+1|a76|6|C0.0:1|C0.0:1|Возник разум!|
+1|a77|1|C0.0:1|C0.5:1|Они умеют лепить глиняные горшки!|Цивилизация достигла уровня 0.5.
+1|a78|3|C0.7:1|C1.0:1|Они освоили свою родную планету!|Цивилизация достигла уровня 1.0.
+1|a79|1|C1.3:1|C1.5:1|Они построили космический город!|Цивилизация достигла уровня 1.5.
+1|a80|6|C1.7:1|C2.0:1|У них есть рой Дайсона!|Цивилизация достигла уровня 2.0.
+1|a81|1|C2.2:1|C2.2:1|Вроде бы они начали расти!|Цивилизация заселила сотню звёзд.
+1|a82|1|C2.5:1|C2.5:1|Их почти можно увидеть невооружённым глазом!|Цивилизация заселила среднее звёздное скопление.
+1|a83|3|C2.8:1|C2.8:1|О, они наконец-то поняли, как управлять гравитацией!|Цивилизация достигла уровня 2.8.
+1|a84|6|C3.0:1|C3.0:1|Они и правда научились летать!|Цивилизация способна путешествовать между галактиками.
+1|a85|3|C3.2:1|C3.2:1|Они наверное так гордятся собой!|Цивилизация расселилась на масштабах порядка Туманности Андромеды.
+1|a86|3|C3.5:1|C3.5:1|Вот это они смекалистые!|Цивилизация использует ресурсы нейтронной звезды.
+1|a87|3|C3.8:1|C3.8:1|Теперь их и правда легко заметить.|Цивилизация заселила сотни тысяч галактик.
+1|a88|6|C4.0:1|C4.0:1|Кажется это уже было, нет?|Цивилизация освоила манипуляции со временем.
+1|a89|6|C4.2:1|C4.2:1|Наконец-то они перестали мелочиться.|Цивилизация использует сверхмассивную чёрную дыру для своих целей.
+1|a90|10|C4.4:1|C4.4:1|Они справились! Интересно, чем же дальше займутся?|Цивилизация расселилась на масштабах порядка всей видимой вселенной.
+1|a91|3|C1.6:1|SET:1|Они основали колонию у соседней звезды!|
+1|a92|6||GSM:1&C2.8:50|Они похоже основали Галактическую Федерацию или что-то в этом роде!|
+1|a93|1|||О нет...|Погибла цивилизация 0.8+ уровня.
+1|a94|1|||Да сколько можно!|Погибло 100 цивилизаций 1.2+ уровня.
+1|a95|1|||К этому вообще можно привыкнуть?|Погибло 1 000 цивилизаций 1.6+ уровня.
+1|a96|3|||Да, в какой-то момент становится безразлично.|Погибло 10 000 цивилизаций 2.0+ уровня
+1|a97|6|||А выглядели крепкими. Что ж поделать.|Погибла цивилизация 3.0+ уровня.
+1|a98|10|||Моё разочарование неизмеримо.|Погибла цивилизация 4.0+ уровня.
+1|a99|6|||Что-то это мне напоминает...|На момент 13.8 миллиардов лет существует цивилизация уровня 0.9.
+1|a102|3|высокая плотность|BigCrunch|Большое сжатие!|Вселенная схлопнулась в колоссальную чёрную дыру.
+1|a103|3|низкая плотность|BigRip|Большой разрыв!|Вселенная рассеялась в разные стороны.
+1|a104|6|BigCrunch^BigRip|BigCrunch&BigRip|Двойная неурядица!|Два разных апокалипсиса завершены.
+1||10|||Изгнание! Вас выгнали из вселенной.|Теперь эта вселенная существует сама по себе, без вашего участия.
+1||3|||Антитеизм: они отрицают ваше существование.|Может они в чём-то и правы?
+1||3|||Интеграция: они стремятся к сосуществованию.|Может быть хотя бы у них получится?
+1||3|||Ксеноцид: их воинственность приводит к ужасным результатам.|Впрочем, ничего нового.
+1||3|||Реконструкция: они переделывают вселенную.|Это же их вселенная, да? Или нет?
+1||3|||Духовность: они ищут глубинный смысл.|Что если они узнают правду?
+1||3|||Исход: они хотят покинуть вселенную.|Что же им здесь не нравится?
+1||6|||Динамичная вселенная|Все тенденции проявили себя!
+1||3|||Изгнание: они пытаются выгнать из вселенной вас!|Их определённо что-то не устраивает.
+1||3|||Федерация: они ищут способы мирного сосуществования.|Наверное это неплохо?
+1||3|||Просвещение: они помогают отстающим.|Какая прелесть!
+1||3|||Новый порядок: они закапывают топор войны.|Может оно и к лучшему?
+1||3|||Великие войны: они устроили эпическое побоище.|Жаль, что отсюда не рассмотреть всех деталей.
+1||3|||Истребление: они занимаются чисткой потенциальных конкурентов.|Жизнь — это возобновляемый ресурс.
+1||3|||Опустошение: они разрушают вселенную!|Звёзды превращаются в чёрные дыры.
+1||3|||Звёздное дробление: они перестраивают вселенную под себя.|Им удобнее жить на малых и стабильных звёздах.
+1||3|||Звёздная накачка: они создают новые звёзды!|Из облаков и бурых карликов создаются красные карлики.
+1||3|||Звёздное охлаждение: они стабилизируют звёзды.|Снижается активность звёздных процессов.
+1||3|||Молитва: они невероятно истово молятся.|Вы даже смогли что-то расслышать.
+1||3|||Диалог: они ждут ответа!|А отвечать именно вам.
+1||3|||Живая вселенная|Произошло 10 действий цивилизаций.
+1||6|||Очень живая вселенная|Произошло 30 действий цивилизаций.
+1||10|||Невероятно живая вселенная!|Произошло 100 действий цивилизаций.
+1||10|||Столько всего происходит!|Все действия произошли хотя бы один раз!
+||1|сила получена|сила применена|Научись быстро копать.|Используй лопатин
+||1|сила получена|сила применена|Запусти инфляцию.|Используй надувин
+||3|сила получена|сила применена|Пропусти время.|Используй временит
+||3|сила получена|сила применена|Утилизируй мусор.|Используй столкновит
+||6|сила получена|сила применена|Подели физику на ноль.|Используй первекс
+||1|сила получена|сила применена|Уничтожь пространство.|Используй сингулярит
+||1|сила получена|сила применена|Укрепи структуры.|Используй обновин
+||3|сила получена|сила применена|Разожги звёзды.|Используй вливанит
+||3|сила получена|сила применена|Остуди вселенную.|Используй морозин
+||6|сила получена|сила применена|Избавься от звёзд.|Используй дезвездит
+||1|сила получена|сила применена|Сделай больше планет.|Используй камнекс
+||1|сила получена|сила применена|Осемени вселенную.|Используй панспермин
+||3|сила получена|сила применена|Удобри вселенную.|Используй гайанит
+||3|сила получена|сила применена|Взбодри вселенную.|Используй дарвинит
+||6|сила получена|сила применена|Наполни вселенную благостью.|Используй эдемекс
+||1|сила получена|сила применена|Научи разумных жить в мире.|Используй пацифин
+||1|сила получена|сила применена|Научи разумных сражаться за свою жизнь.|Используй озверин
+||3|сила получена|сила применена|Назначь пророков среди разумных.|Используй моралит
+||3|сила получена|сила применена|Покарай тех разумных, кто не следует твоим планам.|Используй дискриминит
+||6|сила получена|сила применена|Подави тех разумных, которые слишком много о себе возомнили.|Используй репрекс
+||6|одна любая сила получена в 4 градациях|флэш|Потрать силу одного типа по нарастанию градаций.|Зелёная, синяя, фиолетовая, оранжевая
+||3|снижена вручную|Bur=1|Холодная вселенная.|Минимальная горючесть
+||3|аналогично|Bur=19|Звёзды зажигают, чтобы они сгорели!|Максимальная горючесть
+||3|аналогично|Exp=1|Плотный вакуум.|Минимальная взрывчатость
+||3|аналогично|Exp=19|Бада-бим, бада-бум-бум-бум!|Максимальная взрывчатость
+||3|аналогично|Agg=1|Мир и покой.|Минимальная агрессия
+||3|аналогично|Agg=19|Как 4Е4!|Максимальная агрессия
+1|a101|6|||Все силы доступны одновременно!|
+1|a100|10|||Все силы использованы хотя бы по одному разу в этой вселенной.|
+||1|3 обычные силы одного вида||Улучшите силу до редкой.|
+||3|3 редкие силы одного вида||Улучшите силу до эпической.|
+||6|3 эпические силы одного вида||Улучшите силу до легендарной.|
+||1|улучш 3 силы|5|Улучшите 5 сил.|
+||1|8|13|Улучшите 13 сил.|
+||3|21|34|Улучшите 34 силы.|
+||3|55|89|Улучшите 89 сил.|
+||6|144|233|Улучшите 233 силы.|
+||6|377|610|Улучшите 610 сил.|
+||10|987|1597|Улучшите 1 597 сил.|Продолжайте в том же духе!
+||1|1|3|Улучшите 3 сундука с силами.|
+||3|5|7|Улучшите 7 сундуков с силами.|
+||6|14|20|Улучшите 20 сундуков с силами.|
+||10|38|55|Улучшите 55 сундуков с силами.|Спасибо за поддержку!