enumerate the two parts of the NaN rules
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@ -1235,26 +1235,27 @@ mod prim_f16 {}
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/// operations are guaranteed to exactly preserve the bit pattern of their input except for possibly
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/// changing the sign bit.
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///
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/// The following rules apply when a NaN value is returned from an arithmetic operation: the result
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/// has a non-deterministic sign. The quiet bit and payload are non-deterministically chosen from
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/// the following set of options:
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/// The following rules apply when a NaN value is returned from an arithmetic operation:
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/// - The result has a non-deterministic sign.
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/// - The quiet bit and payload are non-deterministically chosen from
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/// the following set of options:
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///
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/// - **Preferred NaN**: The quiet bit is set and the payload is all-zero.
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/// - **Quieting NaN propagation**: The quiet bit is set and the payload is copied from any input
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/// operand that is a NaN. If the inputs and outputs do not have the same payload size (i.e., for
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/// `as` casts), then
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/// - If the output is smaller than the input, low-order bits of the payload get dropped.
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/// - If the output is larger than the input, the payload gets filled up with 0s in the low-order
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/// bits.
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/// - **Unchanged NaN propagation**: The quiet bit and payload are copied from any input operand
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/// that is a NaN. If the inputs and outputs do not have the same size (i.e., for `as` casts), the
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/// same rules as for "quieting NaN propagation" apply, with one caveat: if the output is smaller
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/// than the input, droppig the low-order bits may result in a payload of 0; a payload of 0 is not
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/// possible with a signaling NaN (the all-0 significand encodes an infinity) so unchanged NaN
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/// propagation cannot occur with some inputs.
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/// - **Target-specific NaN**: The quiet bit is set and the payload is picked from a target-specific
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/// set of "extra" possible NaN payloads. The set can depend on the input operand values.
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/// See the table below for the concrete NaNs this set contains on various targets.
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/// - **Preferred NaN**: The quiet bit is set and the payload is all-zero.
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/// - **Quieting NaN propagation**: The quiet bit is set and the payload is copied from any input
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/// operand that is a NaN. If the inputs and outputs do not have the same payload size (i.e., for
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/// `as` casts), then
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/// - If the output is smaller than the input, low-order bits of the payload get dropped.
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/// - If the output is larger than the input, the payload gets filled up with 0s in the low-order
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/// bits.
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/// - **Unchanged NaN propagation**: The quiet bit and payload are copied from any input operand
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/// that is a NaN. If the inputs and outputs do not have the same size (i.e., for `as` casts), the
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/// same rules as for "quieting NaN propagation" apply, with one caveat: if the output is smaller
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/// than the input, droppig the low-order bits may result in a payload of 0; a payload of 0 is not
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/// possible with a signaling NaN (the all-0 significand encodes an infinity) so unchanged NaN
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/// propagation cannot occur with some inputs.
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/// - **Target-specific NaN**: The quiet bit is set and the payload is picked from a target-specific
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/// set of "extra" possible NaN payloads. The set can depend on the input operand values.
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/// See the table below for the concrete NaNs this set contains on various targets.
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///
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/// In particular, if all input NaNs are quiet (or if there are no input NaNs), then the output NaN
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/// is definitely quiet. Signaling NaN outputs can only occur if they are provided as an input
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