Function batch_multiplicative_inverse 

pub fn batch_multiplicative_inverse<F>(x: &[F]) -> Vec<F>
where
    F: Field,

Compute the multiplicative inverse of every element in a slice via Montgomery’s trick.

Replaces n field inversions with one inversion plus ~3n multiplications:

• forward pass: build prefix products of the inputs,
• one inversion of the full product,
• reverse pass: derive each individual inverse from the prefix products.

The forward pass is a long dependency chain. It is parallelised on two axes:

• 4-lane packed arrays — four independent chains run side by side,
• 1024-element chunks — dispatched across Rayon workers.

Lengths not a multiple of 4 finish with a scalar pass on the trailing 1..=3 elements.

Panics

Panics if any input is zero.