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0F Feature Request: New rounding mode · Issue #86 · francof2a/fxpmath · GitHub
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Feature Request: New rounding mode #86

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danilo-bc opened this issue Oct 5, 2023 · 1 comment
Open

Feature Request: New rounding mode #86

danilo-bc opened this issue Oct 5, 2023 · 1 comment
Milestone
v0.5.0

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@danilo-bc
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Another fixed-point standard, included in IEEE's SystemC, has a mode SC_RND described in their manual, section 7.10.9.12 which states

This rule shall be used for all rounding modes when the two nearest representable numbers are not at equal distance. When the two nearest representable numbers are at equal distance, this rule implies that there is rounding toward plus infinity [...].

This means that it isn't compatible with any current rounding mode, including 'around', which uses even rounding.

A practical example:

x = Fxp(0.1689453125, n_word = 12, n_int = 2, rounding='around')
#                                       fxp-s12/9(0.16796875)
# Expected value for new rounding mode: fxp-s12/9(0.169921875)
@francof2a francof2a added this to the v0.5.0 milestone Feb 8, 2024
@nozomioshi
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Prior to the release of v0.5.0, some data preprocessing can be performed by adjusting the values slightly through addition or subtraction of a extremely small number, in order to achieve the desired rounding effect.
An example for complex numbers in numpy.ndarray:

        precision = Fxp(signed=signed, n_word=n_word, n_frac=n_frac, rounding=rounding).precision
        if isinstance(data, np.ndarray):
            if isinstance(data.item(0), complex):
                data = data + np.sign(data.real)*precision*1e-8 + 1j*np.sign(data.imag)*precision*1e-8

    return Fxp(data, signed=signed, n_word=n_word, n_frac=n_frac, rounding=rounding)

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@danilo-bc @francof2a @nozomioshi








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