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| -rw-r--r-- | chapters/introduction.adoc | 5 |
1 files changed, 3 insertions, 2 deletions
diff --git a/chapters/introduction.adoc b/chapters/introduction.adoc index f0ad12c..3336aea 100644 --- a/chapters/introduction.adoc +++ b/chapters/introduction.adoc @@ -298,8 +298,9 @@ This dot product must meet the <<Dot product accuracy requirements>> | <<REDUCE_PRODUCT>> | Result overflows must be set to an infinity of the correct sign. + Result underflows must be set to a zero of the correct sign. + -Othewise if the final product and all sub-products are within the normal range then the result `R` must have an absolute error of at most `E*abs\(R)` -where `E = pow(1 + pow(2, -M-1), N) - 1`. In this expression M is the number of mantissa bit of the floating point format and N is the number of elements in the product. +Let n be number of elements in the product, out_imp the implementation result, and out_ref the result of the fp64_t reference implementation. + +Let `err_bnd = abs(out_ref) * (pow(1 + pow(2, -normal_frac<in_out_t> - 1), n) - 1)` + +Then `tosa_reference_check_fp_bnd<in_out_t>(out_imp, out_ref, err_bnd)` must be true |=== |