Table 10 Datawidth analysis.
Task | \(P^N\) | \(P^{\dfrac{1}{N}}\) | ||||||
|---|---|---|---|---|---|---|---|---|
Operation | Variable | Data format | Word length | Operation | Variable | Data format | Word length | |
Logarithm | Normalizer | P | FXP(8,27) | 35 | Normalizer | P | FXP(21,27) | 48 |
R4HV | p | FXP(4,31) | 35 | R4HV | p | FXP(4,44) | 48 | |
Adder | q, \(\log _24p\) | FXP(4,27) | 31 | Adder | q, \(\log _4p\) | FXP(5,27) | 32 | |
Division / Multiplication | Multiplier | \(\log _4(P)\), N | FXP(5,27) | 32 | R4LV | \(\log _4(P)\), N | FXP(11,27) | 38 |
Normalizer | \(\log _{4}(P){N}\) | FXP(3,27) | 30 | Normalizer | \(\dfrac{\log _4(P)}{N}\) | FXP(4,27) | 31 | |
Exponential | R4HR | q, \(\log _{4}(P){N}\) | FXP(3,27) | 30 | R4HR | q, \(\dfrac{\log _{4}(P)}{N}\) | FXP(3,27) | 30 |
Adder | \(\cosh (.)\), \(\sinh (.)\) | FXP(3,27) | 30 | Adder | \(\cosh (.)\), \(\sinh (.)\) | FXP(3,27) | 30 | |
