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
+65
-64
@@ -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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@@ -37,87 +38,87 @@ func dispose(world) -> void:
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func run() -> void:
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var world = fixture()
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world.state.amount.N = 0.0
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world.state.amount.HP = 40000.0
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world.state.amount.N = 0
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world.state.amount.HP = 40000
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world.evolution.initialize_life_batches()
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check(world.state.batches.HP.size() == 1, "Old HP receives life cohort")
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check(world.state.batches.HP[0].start_year == 5e6, "HP uses source span")
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check(E.eq(world.state.batches.HP.size(), 1), "Old HP receives life cohort")
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check(E.eq(world.state.batches.HP[0].start_year, 5000000), "HP uses source span")
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var before: Dictionary = world.state.duplicate(true)
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world.evolution.initialize_life_batches()
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check(world.state == before, "Initialization is idempotent")
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world.evolution.evolve_batches(world.state, 5e6 + 5e6 / 40.0)
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check(world.state.amount.EON1 == 10.0, "HP abiogenesis follows source probability")
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check(world.state.amount.RP == 100.0, "HP degradation produces RP")
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check(world.state.amount.HP == 39890.0, "Unchanged planets retry, not disappear")
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check(world.state.stats.total_amount.HP == 0.0, "Retry does not inflate creation statistics")
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check(world.state.batches.HP.size() > 0, "Survivors get next attempt")
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check(E.eq(world.state, before), "Initialization is idempotent")
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world.evolution.evolve_batches(world.state, E.add(5000000, E.divide(5000000, 40)))
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check(E.eq(world.state.amount.EON1, 10), "HP abiogenesis follows source probability")
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check(E.eq(world.state.amount.RP, 100), "HP degradation produces RP")
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check(E.eq(world.state.amount.HP, 39890), "Unchanged planets retry, not disappear")
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check(E.eq(world.state.stats.total_amount.HP, 0), "Retry does not inflate creation statistics")
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check(E.gt(world.state.batches.HP.size(), 0), "Survivors get next attempt")
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var physical: Dictionary = world.ledger.physical_amounts(world.state)
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check(physical.HP + physical.EON1 + physical.RP == 40000.0, "Life conserves planets")
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check(root.get_node("SaveManager").validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Life save validates")
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check(E.eq(E.add(E.add(physical.HP, physical.EON1), physical.RP), 40000), "Life conserves planets")
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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}), ""), "Life save validates")
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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, 11e6)
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restored.evolution.evolve_batches(restored.state, 11e6)
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check(world.state == restored.state, "Life continuation preserves cohorts and carries")
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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, 11000000)
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restored.evolution.evolve_batches(restored.state, 11000000)
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check(E.eq(world.state, restored.state), "Life continuation preserves cohorts and carries")
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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 = 1.0
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world.state.binds.RD = {"EON5": 40000.0}
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world.state.amount.RD = 1
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world.state.binds.RD = {"EON5": 40000}
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world.evolution.initialize_life_batches()
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world.evolution.evolve_batches(world.state, 5e5 + 5e5 / 40.0)
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check(world.state.binds.RD["C0.0"] == 10.0, "Intelligence emerges at the same host star")
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check(world.state.amount["C0.0"] == 0.0, "Life transition keeps planet bound")
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world.evolution.evolve_batches(world.state, E.add(500000, E.divide(500000, 40)))
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check(E.eq(world.state.binds.RD["C0.0"], 10), "Intelligence emerges at the same host star")
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check(E.eq(world.state.amount["C0.0"], 0), "Life transition keeps planet bound")
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check(world.state.batches.has("C0.0"), "New C0.0 starts civilization evolution")
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dispose(world)
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world = fixture()
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var progress: float = 0.0
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var degraded: float = 0.0
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var progress: Variant = 0
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var degraded: Variant = 0
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var valid_outcomes: bool = true
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for i in 4001:
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var products: Dictionary = world.life.life_products(world.state, world.catalog.entities.HP, 1.0)
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var total: float = 0.0
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var products: Dictionary = world.life.life_products(world.state, world.catalog.entities.HP, 1)
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var total: Variant = 0
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for value in products.values():
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total += value
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valid_outcomes = valid_outcomes and value >= 0.0 and value == floorf(value)
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valid_outcomes = valid_outcomes and total == 1.0
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progress += products.get("EON1", 0.0)
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degraded += products.get("RP", 0.0)
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total = E.add(total, value)
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valid_outcomes = ((valid_outcomes and E.ge(value, 0)) and E.eq(value, E.floor_value(value)))
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valid_outcomes = (valid_outcomes and E.eq(total, 1))
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progress = E.add(progress, products.get("EON1", 0))
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degraded = E.add(degraded, products.get("RP", 0))
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check(valid_outcomes, "Every single-planet attempt has whole outcomes and conserves population")
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check(progress == 1.0 and degraded == 10.0, "Rare outcomes accumulate deterministically")
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check((E.eq(progress, 1) and E.eq(degraded, 10)), "Rare outcomes accumulate deterministically")
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dispose(world)
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world = fixture()
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world.state.time = {"datetime": 123.4, "year": 123.4}
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world.state.binds.RD = {"HP": 2.0}
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world.state.time = {"datetime": E.of("123.4"), "year": E.of("123.4")}
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world.state.binds.RD = {"HP": 2}
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world.evolution.initialize_life_batches()
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check(world.state.batches.HP[0].created_from == 123.4, "Old bound worlds begin life at load time")
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world.stellar.destroy_planets(world.state, "RD", 1.0, 1)
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world.evolution.evolve_batches(world.state, 1e7)
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check(world.ledger.physical_amounts(world.state).HP == 0.0 and world.state.binds.RD.RP == 2.0, "Destroyed life does not resurrect from cohort")
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check(E.eq(world.state.batches.HP[0].created_from, E.of("123.4")), "Old bound worlds begin life at load time")
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world.stellar.destroy_planets(world.state, "RD", 1, 1)
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world.evolution.evolve_batches(world.state, 10000000)
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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")
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dispose(world)
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world = fixture()
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world.state.time = {"datetime": 123.4, "year": 123.4}
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world.state.amount["C0.0"] = 40000.0
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world.state.time = {"datetime": E.of("123.4"), "year": E.of("123.4")}
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world.state.amount["C0.0"] = 40000
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world.evolution.initialize_life_batches()
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check(world.state.batches["C0.0"][0].created_from == 123.4, "Civilization cohorts begin at the current time")
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check(E.eq(world.state.batches["C0.0"][0].created_from, E.of("123.4")), "Civilization cohorts begin at the current time")
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before = world.state.duplicate(true)
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world.evolution.initialize_life_batches()
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check(world.state == before, "Life batch initialization is idempotent")
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world.evolution.evolve_batches(world.state, 2173.4)
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check(world.state.amount["C0.1"] == 700.0 and world.state.amount.EON5 == 1000.0, "C0.0 progresses and degrades by Unity rates")
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check(world.state.amount["C0.0"] == 38300.0, "C0.0 remainder stays alive")
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check(E.eq(world.state, before), "Life batch initialization is idempotent")
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world.evolution.evolve_batches(world.state, E.of("2173.4"))
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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")
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check(E.eq(world.state.amount["C0.0"], 38300), "C0.0 remainder stays alive")
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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 = {"C0.1": 40000.0}
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world.state.amount.RD = 1
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world.state.binds.RD = {"C0.1": 40000}
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world.evolution.initialize_life_batches()
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world.evolution.evolve_batches(world.state, 2050.0)
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check(world.state.binds.RD["C0.2"] == 700.0, "C0.1 reaches ethical civilization without losing host")
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check(world.state.binds.RD["C0.0"] == 1000.0, "C0.1 degradation follows Unity")
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check(root.get_node("SaveManager").validate_data({"format_version": 2, "app_version": "", "ui": {"current_page": 0}, "state": world.state}) == "", "Extended life save validates")
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world.evolution.evolve_batches(world.state, 2050)
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check(E.eq(world.state.binds.RD["C0.2"], 700), "C0.1 reaches ethical civilization without losing host")
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check(E.eq(world.state.binds.RD["C0.0"], 1000), "C0.1 degradation follows Unity")
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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}), ""), "Extended life save validates")
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dispose(world)
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print("Life: %d checks, %d failures" % [checks, failures])
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quit(0 if failures == 0 else 1)
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print(("Life: %d checks, %d failures" % [checks, failures]))
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quit((0 if E.eq(failures, 0) else 1))
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