fb8a3f5658
- 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.
65 lines
3.5 KiB
GDScript
65 lines
3.5 KiB
GDScript
extends SceneTree
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const E = preload("res://world/owniverse/math/exact.gd")
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const Math = preload("res://world/owniverse/quantity_math.gd")
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var checks: int = 0
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var failures: int = 0
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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 = 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 run() -> void:
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var Catalog = load("res://world/owniverse/entity_catalog.gd")
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check(E.eq(Math.allocate_whole({}, 10), {}), "Empty allocation")
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check(E.eq(Math.allocate_whole({"b": 1, "a": 1}, 1), {"a": 1, "b": 0}), "Stable lexical tie")
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for limit in range(30):
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var requests: Dictionary = {"a": E.of("3.9"), "b": E.of("9.1"), "c": E.neg(2), "d": 7}
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var result: Dictionary = Math.allocate_whole(requests, limit)
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check(E.eq(Math.sum(result), E.minimum(limit, 19)), "Conserve bounded allocation")
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for id in result:
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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")
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check(E.eq(Math.normalize_distribution({"a": E.neg(1), "b": 0}), {}), "Nonpositive weights")
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check(E.eq(Math.normalize_distribution({"a": 2, "b": 6}), {"a": E.of("0.25"), "b": E.of("0.75")}), "Normalize weights")
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check(E.eq(Math.production_step([E.of("0.25"), E.of("0.1"), 2]), 20), "Common whole production step")
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check(E.eq(Math.production_step([]), 1), "Free production step")
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var target: Dictionary = {}
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var produced: Variant = 0
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for i in 10:
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produced = E.add(produced, Math.accumulate_whole(target, "remainders", "a", E.of("0.1")))
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check(E.eq(produced, 1), "Fractional production carries")
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var remainders: Dictionary = {}
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var totals: Dictionary = {"a": 0, "b": 0, "c": 0}
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for i in 30:
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var result: Dictionary = Math.split(remainders, "split", 1, {"a": 1, "b": 1, "c": 1})
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check(E.eq(Math.sum(result), 1), "Split conserves count")
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for id in result: totals[id] = E.add(totals[id], result[id])
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check(E.eq(totals, {"a": 10, "b": 10, "c": 10}), "Rounding debt distributes over time")
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produced = 0
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for i in 10: produced = E.add(produced, Math.accumulate_rate(remainders, "rate", 1, E.of("0.1")))
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check(E.eq(produced, 1), "Rate carries")
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var catalog = Catalog.new()
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var rows: Dictionary = root.get_node("Global").OwniverseEntities
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catalog.load_definitions(rows)
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check(E.eq(catalog.entities.size(), rows.size()), "Catalog loads all definitions")
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for id in catalog.entities:
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var entity = catalog.entities[id]
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check(E.eq(catalog.automatic_producers.has(entity), (E.ne(entity.product_per_year_type, ""))), "Producer index")
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check(E.eq(catalog.unlockable_entities.has(entity), ((not entity.unlock.is_empty()))), "Unlock index")
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if E.ne(entity.group_as, ""):
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check((catalog.groups[entity.group_as].has(id) and catalog.members(entity.group_as).has(id)), "Group index")
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if E.ne(entity.event_group, ""):
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check(catalog.event_groups[entity.event_group].has(id), "Event index")
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var members: Array = catalog.members("Star")
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members.clear()
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check((not catalog.members("Star").is_empty()), "Group results are independent")
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check(Catalog.new().entities.is_empty(), "Catalog instances are independent")
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for entity in catalog.entities.values(): entity.free()
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print(("Quantity and catalog: %d checks, %d failures" % [checks, failures]))
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quit((1 if failures else 0))
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