Ensuring Floating-Point Determinism in .NET
Despite the importance of floating-point determinism, .NET lacks explicit options to enforce it. However, recent discussions have suggested a potential solution: coercing floating-point values back to their native precision through explicit casts.
Explicit Casting as a Determinism Mechanism
According to CLR engineer David Notario, explicit casting should trigger the insertion of narrowing instructions like conv.r4, effectively forcing the values to be truncated to their native size. This suggests that casting all expressions and sub-expressions to float would ensure deterministic results.
The Runtime's "Hint"
However, Eric Lippert's statement hints at a nuance in the casting process. He claims that the C# compiler provides a "hint" to the runtime when explicit casting occurs. This hint, he suggests, tells the runtime to terminate any high-precision mode computations.
The Compiler and CLR Specifications
Upon examination, the C# specification does not explicitly mention that explicit casting forces the insertion of conv.r4. However, unit tests in the compiler confirm this behavior. The CLR specification, on the other hand, clearly states that conv.r4 truncates values to their native size.
Truncation Guarantees
While explicit casting ensures truncation, it does not guarantee reproducible results across machines. Other factors, such as FPU/SSE settings, can influence the behavior of floating-point operations. Section 12.1.3 of the CLR specification discusses the implications of denormals and NaNs.
Alternative Approaches
In addition to explicit casting, assigning values to arrays (double[] or float[]), or to static or instance fields also truncates floating-point values. However, for truly reproducible arithmetic, integers are recommended.
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