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docs: clarify that sqrt must be correctly rounded in accordance with IEEE 754 #882

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docs: include blurb regarding subnormal support
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kgryte committed Feb 6, 2025
commit 10c6d26c2aa921ab4c6e2fe15c99a1d136fab25f
2 changes: 2 additions & 0 deletions spec/draft/design_topics/accuracy.rst
Original file line number Diff line number Diff line change
Expand Up @@ -25,6 +25,8 @@ including the corresponding element-wise array APIs defined in this standard

for real-valued floating-point operands must return the correctly rounded value according to IEEE 754-2019 and a supported rounding mode. By default, the rounding mode should be ``roundTiesToEven`` (i.e., round to nearest with ties rounded toward the nearest value with an even least significant bit).

IEEE 754-2019 requires support for subnormal (a.k.a., denormal) numbers, which are useful for supporting gradual underflow. However, hardware support for subnormal numbers is not universal, and many platforms (e.g., accelerators) and compilers support toggling denormals-are-zero (DAZ) and/or flush-to-zero (FTZ) behavior to increase performance and to guard against timing attacks. Accordingly, conforming implementations may vary in their support for subnormal numbers.

Mathematical Functions
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