diff options
Diffstat (limited to 'chapters/introduction.adoc')
| -rw-r--r-- | chapters/introduction.adoc | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/chapters/introduction.adoc b/chapters/introduction.adoc index 1fabcc3..4b0696c 100644 --- a/chapters/introduction.adoc +++ b/chapters/introduction.adoc @@ -259,7 +259,7 @@ Otherwise:the result must be within 1 ulp of the mathematical result. | <<RSQRT>> | If the input is less than zero the result must be a NaN. + Otherwise if the input is a zero the output must be an infinity of the same sign. + -Otherwise the result must be within 1 ulp of the mathematical result. +Otherwise the result must be within 2 ulp of the mathematical result. | <<SIGMOID>>, <<TANH>>, <<LOG>>, <<ERF>> | If the input to LOG is less than zero then the result must be a NaN. + @@ -270,14 +270,14 @@ Otherwise the result must be within 5 ulp of the mathematical result. | <<EXP>> | Let `x` be an input element and `out_imp` the implementation output of `exp(x)`. + Let `out_ref` be the result of the fp64_t reference implementation of `exp(x)`. + -Let `err_bnd = out_ref*exp2(-normal_fraction<in_out_t>)*(1+abs(x))` + -Then `tosa_reference_check_fp_bnd<in_out_t>(out_imp, out_ref, out_bnd)` must be true +Let `err_bnd = abs(out_ref) * exp2(-normal_frac<in_out_t>) * (1+abs(x))` + +Then `tosa_reference_check_fp_bnd<in_out_t>(out_imp, out_ref, err_bnd)` must be true | <<POW>> | Let `x`, `y` be input elements and `out_imp` the implementation output of `pow(x,y)`. + Let `out_ref` be the result of the fp64_t reference implementation of `pow(x,y)`. + -Let `err_bnd = out_ref*exp2(-normal_fraction<in_out_t>)*(1+abs(log(abs(x))*y))` + -Then `tosa_reference_check_fp_bnd<in_out_t>(out_imp, out_ref, out_bnd)` must be true +Let `err_bnd = abs(out_ref) * exp2(-normal_frac<in_out_t>) * (1+abs(log(abs(x))*y))` + +Then `tosa_reference_check_fp_bnd<in_out_t>(out_imp, out_ref, err_bnd)` must be true | <<REDUCE_SUM>> | Each output can be expressed as a dot product of an input vector with a vector of ones. + |