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AreEqualNumerically compares without a tolerance, so equal expressions read as unequal

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难度
4/5
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3-5 天
新手友好度
55/100
Issue 类型
缺陷
描述清晰度
基本清楚
活跃度
活跃
技术栈
csharp
领域
backend

调研方向

Start by locating MathS.UnsafeAndInternal.AreEqualNumerically(a, b) and reading how it chooses its check points and compares evaluated values. Reproduce the reported case with the integral expression and its derivative at -100 and 100, then investigate a relative tolerance appropriate to evaluation precision; the MCP server's 1e-6 tolerance is a comparison point. Done means the equal expressions compare as equal without masking meaningful differences.

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描述

MathS.UnsafeAndInternal.AreEqualNumerically(a, b) evaluates both sides at its check points and compares the values with !=, with no tolerance. Two equal expressions computed by different routes differ in their last digits, and are reported unequal.

∫ x ln(x) dx, differentiated back, is 2 x (-1/4 + ln(x)/2) + 1/x * 2/4 * x^2, which is x ln(x) wherever both are defined. At the check points -100 and 100 the two values compare unequal, while their difference evaluates to 0, so AreEqualNumerically returns false.

A relative tolerance scaled to the evaluation's precision would answer this. The MCP server (amcli mcp) compares with a relative tolerance of 1e-6 instead.

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