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
2026-09-30 08:08:27 +03:00
parent f2111a376a
commit fb8a3f5658
58 changed files with 5139 additions and 2162 deletions
+39 -38
View File
@@ -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:
@@ -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("4.0000E+10"), 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.presentation.amounts(world.state, world.catalog)
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.presentation.amounts(world.state, world.catalog, 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")
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))