From Jason Turner

[sf.cmath.general]

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+ #### General <a id="sf.cmath.general">[[sf.cmath.general]]</a>
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+
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+ If any argument value to any of the functions specified in [[sf.cmath]]
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+ is a NaN (Not a Number), the function shall return a NaN but it shall
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+ not report a domain error. Otherwise, the function shall report a domain
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+ error for just those argument values for which:
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+
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+ - the function description’s *Returns:* element explicitly specifies a
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+ domain and those argument values fall outside the specified domain, or
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+ - the corresponding mathematical function value has a nonzero imaginary
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+ component, or
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+ - the corresponding mathematical function is not mathematically
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+ defined.[^14]
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+
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+ Unless otherwise specified, each function is defined for all finite
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+ values, for negative infinity, and for positive infinity.
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+