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<iostream>: Writing NaN to the output stream with a set locale results in a weird output #3867

@fsb4000

Description

@fsb4000

Command-line test case

C:\Temp>type main.cpp
#include <iostream>
#include <locale>
#include <cmath>

int main()
{
    std::cout << (long double)std::sqrt(-1) << std::endl;
    std::cout << (double)std::sqrt(-1) << std::endl;
    std::cout << (float)std::sqrt(-1) << std::endl;

    std::cout.imbue(std::locale("en_us"));
    std::cout << (long double)std::sqrt(-1) << std::endl;
    std::cout << (double)std::sqrt(-1) << std::endl;
    std::cout << (float)std::sqrt(-1) << std::endl;

    return 0;
}

C:\Temp>cl /EHsc /W4 /WX /std:c++latest .\main.cpp
Microsoft (R) C/C++ Optimizing Compiler Version 19.37.32820 for x64
Copyright (C) Microsoft Corporation.  All rights reserved.

/std:c++latest is provided as a preview of language features from the latest C++
working draft, and we're eager to hear about bugs and suggestions for improvements.
However, note that these features are provided as-is without support, and subject
to changes or removal as the working draft evolves. See
https://go.microsoft.com/fwlink/?linkid=2045807 for details.

main.cpp
Microsoft (R) Incremental Linker Version 14.37.32820.0
Copyright (C) Microsoft Corporation.  All rights reserved.

/out:main.exe
main.obj

C:\Temp>.\main.exe
-nan(ind)
-nan(ind)
-nan(ind)
-na,n(i,nd)
-na,n(i,nd)
-na,n(i,nd)

Expected behavior

Should be -nan(ind) for every output

STL version

Microsoft Visual Studio Community 2022
Version 17.7.0 Preview 3.0

Additional context

Devcom-10410933 / VSO-1848294 / AB#1848294

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