Add exact arithmetic implementation and tests
- Introduced exact arithmetic with support for large integers and fractions in `exact.gd`, `big_integer.gd`, and `exact_value.gd`. - Implemented a comprehensive test suite in `test_exact_math.gd` to validate arithmetic operations against expected results. - Added a README in `math` directory to document the exact arithmetic system and its usage. - Ensured that all arithmetic operations maintain precision without floating-point errors, using a custom representation for large numbers. - Included methods for encoding and decoding exact values for serialization.
This commit is contained in:
Kirill
@@ -1,4 +1,5 @@
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extends SceneTree
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const E = preload("res://world/owniverse/math/exact.gd")
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const Clock = preload("res://world/owniverse/simulation_time.gd")
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var checks: int = 0
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var failures: int = 0
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@@ -7,9 +8,9 @@ func _initialize() -> void:
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call_deferred("run")
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func check(condition: bool, message: String) -> void:
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checks += 1
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if not condition:
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failures += 1
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checks = E.add(checks, 1)
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if (not condition):
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failures = E.add(failures, 1)
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push_error(message)
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func fixture():
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@@ -18,16 +19,16 @@ func fixture():
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for id in global.OwniverseEntities:
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var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
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world.catalog.entities[id] = entity
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world.state.amount[id] = 0.0
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world.state.stats.total_amount[id] = 0.0
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if entity.group_as != "":
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world.state.amount[entity.group_as] = 0.0
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world.state.stats.total_amount[entity.group_as] = 0.0
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world.state.amount[id] = 0
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world.state.stats.total_amount[id] = 0
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if E.ne(entity.group_as, ""):
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world.state.amount[entity.group_as] = 0
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world.state.stats.total_amount[entity.group_as] = 0
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world.catalog.entities["N"].life_product = {}
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world.catalog.entities["N"].product_per_year_type = "H"
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world.catalog.entities["N"].product_per_year_amount = 10.0
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world.catalog.entities["N"].auto = 0.0
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world.state.amount.N = 1.0
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world.catalog.entities["N"].product_per_year_amount = 10
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world.catalog.entities["N"].auto = 0
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world.state.amount.N = 1
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return world
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func dispose(world) -> void:
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@@ -35,130 +36,130 @@ func dispose(world) -> void:
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entity.free()
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world.free()
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func seed_population(world, id: String, count: float, time: float = 1.0) -> void:
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world.state.amount.N = 0.0
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func seed_population(world, id: String, count: Variant, time: Variant = 1.0) -> void:
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world.state.amount.N = 0
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world.state.amount[id] = count
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world.state.batches[id] = [{"amount": count, "start_year": time, "end_year": time}]
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world.evolution.initialize_life_batches()
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func sum_ethics(world, id: String) -> float:
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var result: float = 0.0
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for n in world.state.ethics.get(id, {}).values(): result += n
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func sum_ethics(world, id: String) -> Variant:
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var result: Variant = 0
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for n in world.state.ethics.get(id, {}).values(): result = E.add(result, n)
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return result
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func invariants(world) -> void:
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var physical: Dictionary = world.ledger.physical_amounts(world.state)
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for id in world.state.ethics:
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check(sum_ethics(world, id) == physical.get(id, 0.0), "Ethics equal physical population for " + id)
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check(E.eq(sum_ethics(world, id), physical.get(id, 0)), E.add("Ethics equal physical population for ", id))
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for n in world.state.ethics[id].values():
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if n < 0.0 or n != floorf(n): check(false, "Invalid ethic amount")
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check(root.get_node("SaveManager").validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Civilization state validates")
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if (E.lt(n, 0) or E.ne(n, E.floor_value(n))): check(false, "Invalid ethic amount")
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check(E.eq(root.get_node("SaveManager").validate_data({"format_version": 3, "app_version": "", "ui": {"current_page": 0}, "state": world.state}), ""), "Civilization state validates")
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func run() -> void:
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var global: Node = root.get_node("Global")
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var baseline: Dictionary = global.CivilizationRules.duplicate(true)
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var world = fixture()
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seed_population(world, "C0.2", 60000.0)
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world.evolution.evolve_batches(world.state, 1.0)
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check(world.state.amount["C0.3"] > 0.0, "C0.2 actually progresses")
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check(world.state.amount["C0.1"] > 0.0, "C0.2 actually degrades")
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check(world.state.civilization_stats.get("wars", 0.0) == 0.0, "Table disables early wars")
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check(world.state.amount["C0.2"] + world.state.amount["C0.3"] + world.state.amount["C0.1"] == 60000.0, "Ordinary evolution conserves population")
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check(world.state.stats.total_amount["C0.2"] == 0.0, "Survivors do not count as new civilizations")
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check(world.state.civilization_stats.worship > 0.0, "Worship derived from surviving ethics")
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seed_population(world, "C0.2", 60000)
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world.evolution.evolve_batches(world.state, 1)
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check(E.gt(world.state.amount["C0.3"], 0), "C0.2 actually progresses")
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check(E.gt(world.state.amount["C0.1"], 0), "C0.2 actually degrades")
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check(E.eq(world.state.civilization_stats.get("wars", 0), 0), "Table disables early wars")
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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")
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check(E.eq(world.state.stats.total_amount["C0.2"], 0), "Survivors do not count as new civilizations")
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check(E.gt(world.state.civilization_stats.worship, 0), "Worship derived from surviving ethics")
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invariants(world)
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var restored = fixture()
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restored.state = bytes_to_var(var_to_bytes(world.state))
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world.evolution.evolve_batches(world.state, 2100.0)
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restored.evolution.evolve_batches(restored.state, 2100.0)
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check(world.state == restored.state, "Save resumes deterministic ethical evolution")
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restored.state = E.decode(bytes_to_var(var_to_bytes(E.encode(world.state))))
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world.evolution.evolve_batches(world.state, 2100)
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restored.evolution.evolve_batches(restored.state, 2100)
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check(E.eq(world.state, restored.state), "Save resumes deterministic ethical evolution")
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invariants(world)
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dispose(restored)
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dispose(world)
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world = fixture()
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world.state.amount.RD = 1e8
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seed_population(world, "C2.0", 60000.0)
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world.state.amount["C1.9"] = 10000.0
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world.state.amount.RD = 100000000
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seed_population(world, "C2.0", 60000)
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world.state.amount["C1.9"] = 10000
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world.evolution.initialize_life_batches()
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world.evolution.evolve_batches(world.state, 1.0)
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check(world.state.civilization_stats.wars > 0.0, "Wars execute when enabled")
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check(world.state.civilization_stats.collateral > 0.0, "Wars affect previous-stage populations")
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check(world.state.amount["C2.1"] > 0.0, "Winners and peaceful progress reach next stage")
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world.evolution.evolve_batches(world.state, 1)
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check(E.gt(world.state.civilization_stats.wars, 0), "Wars execute when enabled")
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check(E.gt(world.state.civilization_stats.collateral, 0), "Wars affect previous-stage populations")
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check(E.gt(world.state.amount["C2.1"], 0), "Winners and peaceful progress reach next stage")
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invariants(world)
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dispose(world)
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world = fixture()
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world.state.amount.RD = 1.0
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world.state.binds.RD = {"HP": 5.0, "GG": 5.0, "AB": 5.0, "RP": 5.0}
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seed_population(world, "C1.6", 60000.0)
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for row: Dictionary in global.CivilizationRules["C1.6"].ethics.values(): row.degradation = "0"
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world.evolution.evolve_batches(world.state, 1.0)
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world.state.amount.RD = 1
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world.state.binds.RD = {"HP": 5, "GG": 5, "AB": 5, "RP": 5}
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seed_population(world, "C1.6", 60000)
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for row : Dictionary in global.CivilizationRules["C1.6"].ethics.values(): row.degradation = "0"
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world.evolution.evolve_batches(world.state, 1)
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var after: Dictionary = world.ledger.physical_amounts(world.state)
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check(world.state.civilization_stats.colonies == 20.0, "Colonization limited to real targets")
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check(after.HP + after.GG + after.AB + after.RP == 0.0, "Colonized objects consumed once")
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check(world.state.binds.RD.get("C1.4", 0.0) == 20.0, "Colonies retain target host and use two-stages-earlier level")
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var totals: float = 0.0
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check(E.eq(world.state.civilization_stats.colonies, 20), "Colonization limited to real targets")
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check(E.eq(E.add(E.add(E.add(after.HP, after.GG), after.AB), after.RP), 0), "Colonized objects consumed once")
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check(E.eq(world.state.binds.RD.get("C1.4", 0), 20), "Colonies retain target host and use two-stages-earlier level")
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var totals: Variant = 0
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for id in after:
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if world.catalog.entities[id].group_as == "Planet": totals += after[id]
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check(totals == 60020.0, "Colonization replaces planets, does not create extra worlds")
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if E.eq(world.catalog.entities[id].group_as, "Planet"): totals = E.add(totals, after[id])
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check(E.eq(totals, 60020), "Colonization replaces planets, does not create extra worlds")
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invariants(world)
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dispose(world)
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global.CivilizationRules = baseline.duplicate(true)
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world = fixture()
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world.state.amount.RD = 1e25
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world.state.amount.BG = 1e25
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world.state.amount.TWD = 1e25
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world.state.amount.SNS = 1e25
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world.state.amount.MGT = 1e25
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world.state.amount.BH25 = 1e25
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world.state.amount.SMBH = 1e26
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world.state.amount.RD = E.of("1e25")
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world.state.amount.BG = E.of("1e25")
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world.state.amount.TWD = E.of("1e25")
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world.state.amount.SNS = E.of("1e25")
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world.state.amount.MGT = E.of("1e25")
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world.state.amount.BH25 = E.of("1e25")
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world.state.amount.SMBH = E.of("1e26")
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for id in world.catalog.entities:
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if world.catalog.entities[id].claim != "": world.state.amount[id] = 1e12
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if E.ne(world.catalog.entities[id].claim, ""): world.state.amount[id] = E.of("1e12")
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# Accelerated deterministic fixture traverses every enabled stage, including Ct.
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for id in global.CivilizationRules:
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if id == "Ct": continue
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if E.eq(id, "Ct"): continue
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global.CivilizationRules[id].fights = false
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global.CivilizationRules[id].colonizes = false
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global.CivilizationRules[id].diplomacy = false
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for row: Dictionary in global.CivilizationRules[id].ethics.values():
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for row : Dictionary in global.CivilizationRules[id].ethics.values():
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row.progress = "1"
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row.degradation = "0"
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world.catalog.entities[id].lifespan = 1.0
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world.catalog.entities[id].lifespan_delta = 1.0
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global.CivilizationRules[id].span = 1.0
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seed_population(world, "C0.2", 6.0)
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world.evolution.evolve_batches(world.state, 1000.0)
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check(world.state.amount.Ct == 6.0, "Complete C0.2 -> C4.4 -> Ct chain runs")
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check(not world.state.batches.has("Ct"), "Transcendence is terminal")
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world.catalog.entities[id].lifespan = 1
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world.catalog.entities[id].lifespan_delta = 1
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global.CivilizationRules[id].span = 1
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seed_population(world, "C0.2", 6)
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world.evolution.evolve_batches(world.state, 1000)
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check(E.eq(world.state.amount.Ct, 6), "Complete C0.2 -> C4.4 -> Ct chain runs")
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check((not world.state.batches.has("Ct")), "Transcendence is terminal")
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invariants(world)
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dispose(world)
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global.CivilizationRules = baseline
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world = fixture()
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world.state.amount.RD = 10000.0
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world.state.amount.SCS = 1.0
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world.state.amount["C2.4"] = 1.0
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world.state.amount.RD = 10000
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world.state.amount.SCS = 1
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world.state.amount["C2.4"] = 1
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world.evolution.initialize_life_batches()
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var span: float = world.state.batches["C2.4"][0].start_year
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check(is_equal_approx(span, 20000.0 / 3.6), "Structure bonus shortens newly registered lifespan")
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var span: Variant = world.state.batches["C2.4"][0].start_year
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check(E.near(span, E.divide(20000, E.of("3.6"))), "Structure bonus shortens newly registered lifespan")
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dispose(world)
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var evolution = load("res://world/owniverse/civilization_evolution.gd")
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var balanced: Dictionary = {"m": 10000.0, "l": 10000.0, "w": 10000.0, "d": 10000.0, "c": 10000.0, "b": 10000.0}
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var balanced: Dictionary = {"m": 10000, "l": 10000, "w": 10000, "d": 10000, "c": 10000, "b": 10000}
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var neutral: Dictionary = evolution.drift({}, "test", balanced, global.CivilizationRules["C2.0"].ethics)
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var diplomatic: Dictionary = evolution.drift({}, "test", balanced, global.CivilizationRules["C2.0"].ethics, true)
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check(neutral == balanced, "Ordinary drift preserves balanced ethics")
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check(diplomatic.d > diplomatic.w, "Diplomacy uses per-ethic influence")
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check(evolution.total(diplomatic) == 60000.0, "Diplomacy conserves population")
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check(E.eq(neutral, balanced), "Ordinary drift preserves balanced ethics")
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check(E.gt(diplomatic.d, diplomatic.w), "Diplomacy uses per-ethic influence")
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check(E.eq(evolution.total(diplomatic), 60000), "Diplomacy conserves population")
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world = fixture()
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world.state.amount.RD = 1e15
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world.state.amount.BG = 1e15
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world.state.amount["C3.0"] = 6.0
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world.state.amount.RD = E.of("1e15")
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world.state.amount.BG = E.of("1e15")
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world.state.amount["C3.0"] = 6
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world.evolution.initialize_life_batches()
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check(world.state.amount["C3.0"] == 0.0 and world.state.amount["C2.9"] == 6.0, "Missing mandatory structures degrade existing civilizations")
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check((E.eq(world.state.amount["C3.0"], 0) and E.eq(world.state.amount["C2.9"], 6)), "Missing mandatory structures degrade existing civilizations")
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invariants(world)
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dispose(world)
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print("Civilization evolution: %d checks, %d failures" % [checks, failures])
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quit(0 if failures == 0 else 1)
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print(("Civilization evolution: %d checks, %d failures" % [checks, failures]))
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quit((0 if E.eq(failures, 0) else 1))
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