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.
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@@ -1,4 +1,5 @@
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extends RefCounted
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const E = preload("res://world/owniverse/math/exact.gd")
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const Parameters = preload("res://world/owniverse/world_parameters.gd")
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var energy_bars: Array = []
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@@ -32,21 +33,21 @@ func _ignore_mouse_on_children(node: Node) -> void:
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func update(world) -> void:
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var source: Dictionary = world.state
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var energy: float = clampf(source.energy / Parameters.INITIAL_ENERGY, 0.0, 1.0)
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var energy: float = E.approx(E.clamp_value(E.divide(source.energy, Parameters.INITIAL_ENERGY), 0, 1))
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for bar in energy_bars: bar.scale.x = energy
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var density_value: float = world.environment.stellar_environment(source).density
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var density_value = world.environment.stellar_environment(source).density
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var density: Dictionary = Parameters.density_display(density_value)
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warning_border.self_modulate = Parameters.density_warning_color(density_value)
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for indicator in density_indicators:
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for mode in ["Density", "DensityRip", "DensityCrunch"]:
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indicator.get_node(mode).visible = mode == density.mode
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var pointer: Control = indicator.get_node("Pointer")
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pointer.position.x = 16.0 + 288.0 * density.position - pointer.size.x / 2.0
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pointer.position.x = 16.0 + 288.0 * E.approx(density.position) - pointer.size.x / 2.0
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pointer.self_modulate = Color.BLACK if density.mode == "DensityCrunch" else Color.WHITE
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for key in pointers:
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var pointer: Control = pointers[key]
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pointer.position.x = 16.0 * clampf(Parameters.value(source, key), 1.0, 19.0) - pointer.size.x / 2.0
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pointer.position.x = 16.0 * E.approx(E.clamp_value(Parameters.value(source, key), 1, 19)) - pointer.size.x / 2.0
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for i in trend_bars.size():
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var bar: Control = trend_bars[i]
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bar.pivot_offset = Vector2(0.0, bar.size.y)
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bar.scale.y = clampf(source.get("trends", {}).get(Parameters.TRENDS[i], 0.0), 0.0, 1.0)
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bar.scale.y = E.approx(E.clamp_value(source.get("trends", {}).get(Parameters.TRENDS[i], 0), 0, 1))
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