Trapz

Trapz

Usage

torch_trapz(y, dx = 1L, x, dim = -1L)

Arguments

y

(Tensor) The values of the function to integrate

dx

(float) The distance between points at which y is sampled.

x

(Tensor) The points at which the function y is sampled. If x is not in ascending order, intervals on which it is decreasing contribute negatively to the estimated integral (i.e., the convention \(\int_a^b f = -\int_b^a f\) is followed).

dim

(int) The dimension along which to integrate. By default, use the last dimension.

trapz(y, x, *, dim=-1) -> Tensor

Estimate \(\int y\,dx\) along dim, using the trapezoid rule.

trapz(y, *, dx=1, dim=-1) -> Tensor

As above, but the sample points are spaced uniformly at a distance of dx.

Examples

if (torch_is_installed()) {

y = torch_randn(list(2, 3))
y
x = torch_tensor(matrix(c(1, 3, 4, 1, 2, 3), ncol = 3, byrow=TRUE))
torch_trapz(y, x = x)

}
#> torch_tensor
#> -0.5979
#>  1.2176
#> [ CPUFloatType{2} ]