trapezoid

→Tensor

trapezoid(y: Tensor, x: Tensor | None = ..., dx: _float | None = ..., dim: _int = ...)

Integrate y along dim using the composite trapezoidal rule.

yTensor

Function values sampled along dim.

xTensor or None

Abscissa coordinates matching y along dim.

dxfloat or None

Uniform step width used when x is None (defaults to 1.0).

dimint

Integration axis (default -1).

Tensor

Definite trapezoidal integral with dim reduced.

>>> import lucid
>>> lucid.trapezoid(lucid.tensor([1.0, 2.0, 4.0]))
tensor(4.5)