numeric.fixed ≡

template <auto I, auto F>
struct fixed §

Fixed-point representation.

Parameters

  • auto I

    Integer bit-width.

  • auto F

    Fractional bit-width.

Fields

  • int<(I + F)> value §

template <auto I, auto F>
inline optional<fixed<I, F>> round(fixed<I, F> x) §

Round half up.

Examples 
>>> round(-23.5)
-23

>>> round(23.5)
24
template <auto I, auto F>
inline optional<fixed<I, F>> ceil(fixed<I, F> x) §

Ceiling.

template <auto I, auto F>
inline fixed<I, F> floor(fixed<I, F> x) §

template <auto I, auto F>
inline fixed<I, F> trunc(fixed<I, F> x) §

Truncate.

template <auto I, auto F>
inline optional<fixed<I, F>> abs(fixed<I, F> x) §

Return the absolute value of x.

template <auto I, auto F>
inline fixed<I, F> min(fixed<I, F> x, fixed<I, F> y) §

Return the smaller of x and y.

template <auto I, auto F>
inline fixed<I, F> max(fixed<I, F> x, fixed<I, F> y) §

Return the larger of x and y.

template <auto I, auto F>
inline optional<fixed<I, F>> dim(fixed<I, F> x, fixed<I, F> y) §

Return the positive difference between x and y, i.e. max(x - y, 0).

template <auto I, auto F>
inline optional<fixed<I, F>> reciprocal(fixed<I, F> x) §

template <auto I, auto F>
inline optional<fixed<I, F>> log2(fixed<I, F> x) §

Base-2 logarithm.

template <auto I, auto F>
inline optional<fixed<I, F>> log10(fixed<I, F> x) §

Base-10 logarithm.

template <auto I, auto F>
inline optional<fixed<I, F>> log(fixed<I, F> x) §

Base-e logarithm.

template <auto I, auto F>
inline fixed<I, F> sin(fixed<I, F> x) §

template <auto I, auto F>
inline fixed<I, F> cos(fixed<I, F> x) §

template <auto I, auto F>
inline optional<fixed<I, F>> exp2(fixed<I, F> x) §

Base-2 exponent.

template <auto I, auto F>
inline optional<fixed<I, F>> exp(fixed<I, F> x) §

Base-e exponent.

template <auto I, auto F>
inline optional<fixed<I, F>> invsqrt(fixed<I, F> x) §

Return the reciprocal of the square root of x.

template <auto I, auto F>
inline optional<fixed<I, F>> sqrt(fixed<I, F> x) §

Return the square root of x. This function provides better accuracy than calling invsqrt and then multiplying by x.

template <auto I, auto F>
inline optional<fixed<I, F>> pow(fixed<I, F> base, fixed<I, F> expo) §

Raise base to the power of expo.