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Add exact arithmetic implementation and tests

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- 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
2026-09-30 08:08:27 +03:00
parent f2111a376a
commit fb8a3f5658
58 changed files with 5139 additions and 2162 deletions
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tests/test_batch_boundaries.gd
+27 -26
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@@ -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():
@@ -18,16 +19,16 @@ func fixture():
for id in global.OwniverseEntities:
var entity = load("res://world/owniverse/owniverse_entity.gd").new(global.OwniverseEntities[id])
world.catalog.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.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 = 10.0
world.catalog.entities["N"].auto = 0.0
world.state.amount.N = 1.0
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:
@@ -37,21 +38,21 @@ func dispose(world) -> void:
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.batches.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))