Replace heuristic sqrt with integer algorithm
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@@ -1,4 +1,5 @@
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using System;
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using System.Numerics;
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using System.Collections.Generic;
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using PerfectNumbers.Core;
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using FluentAssertions;
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@@ -193,4 +194,50 @@ public class HeuristicCombinedPrimeTesterTests
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(groupBValue % 10U).Should().NotBe(3U);
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}
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}
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[Theory]
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[Trait("Category", "Fast")]
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[InlineData(0UL)]
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[InlineData(1UL)]
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[InlineData(4_294_967_297UL)]
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[InlineData(18_446_744_073_709_551_615UL)]
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[InlineData(18_446_744_073_709_551_614UL)]
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[InlineData(18_446_744_073_709_551_613UL)]
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public void ComputeHeuristicSqrt_returns_floor_square_root(ulong value)
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{
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ulong sqrt = HeuristicCombinedPrimeTester.ComputeHeuristicSqrt(value);
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bool squareBelowOrEqual = (UInt128)sqrt * sqrt <= (UInt128)value;
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bool nextSquareAbove = (UInt128)(sqrt + 1UL) * (UInt128)(sqrt + 1UL) > (UInt128)value;
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squareBelowOrEqual.Should().BeTrue();
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nextSquareAbove.Should().BeTrue();
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}
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}
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