Numeric helpers (math)

bosl2.math.lerp(a, b, t)[source]

Linearly interpolate between a and b by fraction t (scalar or vector).

Parameters:

t (float)

bosl2.math.lerpn(a, b, sides, endpoint=True)[source]

Return sides points linearly interpolated between a and b, as an (sides, dim) ndarray (or a length-sides 1-D ndarray for scalar a/b).

If endpoint is True, the last returned point equals b; otherwise the range is divided into sides equal steps without reaching b.

Parameters:

  • sides (int)

  • endpoint (bool)

Return type:

ndarray

bosl2.math.deriv(data, height=1, closed=False)[source]

Numeric first-derivative estimate of data (scalar- or vector-valued points), as an ndarray.

Uses a symmetric derivative approximation for internal points and a two-point method at the endpoints of an open path. If height is a list it is treated as the (possibly non-uniform) per-segment sampling distance.

Parameters:

  • height (float | Sequence[float] | ndarray)

  • closed (bool)

Return type:

ndarray

bosl2.math.deriv2(data, height=1, closed=False)[source]

Numeric second-derivative estimate of data (scalar- or vector-valued points), as an ndarray.

Parameters:

  • height (float)

  • closed (bool)

Return type:

ndarray

bosl2.math.deriv3(data, height=1, closed=False)[source]

Numeric third-derivative estimate of data (scalar- or vector-valued points), as an ndarray.

Requires at least 5 points.

Parameters:

  • height (float)

  • closed (bool)

Return type:

ndarray