Use FCMP implementation of BP+ in monero-serai (#344)

* Add in an implementation of BP+ based off the paper, intended for clarity and review

This was done as part of my work on FCMPs from Monero, and is copied from https://github.com/kayabaNerve/full-chain-membership-proofs

* Remove crate structure of BP+

* Remove arithmetic circuit code

* Remove AC/VC generators code

* Remove generator transcript

Monero uses non-transcripted static generators.

* Further trimming of generators

* Remove the single range proof

It's unused by Monero and accordingly unhelpful.

* Work on getting BP+ to compile in its new env

* Correct BP+ folder name

* Further tweaks to get closer to compiling

* Remove the ScalarMatrix file

It's only used for AC proofs

* Compiles, with tests passing

* Lock BP+ to Ed25519 instead of the generic Ciphersuite

* Resolve most warnings in BP+

* Make existing bulletproofs test easier to read

* Further strip generators

* Swap G/H as Monero did

* Replace RangeCommitment with Commitment

* Hard-code BP+ h to Ed25519's generator

* Use pub(crate) for BP+, not pub

* Replace initial_transcript with hash_plus

* Rename hash_plus to initial_transcript

* Finish integrating the FCMP BP+ impl

* Move BP+ folder

* Correct no-std support

* Rename "long_n" to eta

* Add note on non-prime order dfg points

coins/monero/src/ringct/bulletproofs/plus/point_vector.rs

@@ -0,0 +1,50 @@
+use core::ops::{Index, IndexMut};
+use std_shims::vec::Vec;
+
+use zeroize::{Zeroize, ZeroizeOnDrop};
+
+use dalek_ff_group::EdwardsPoint;
+
+#[cfg(test)]
+use multiexp::multiexp;
+#[cfg(test)]
+use crate::ringct::bulletproofs::plus::ScalarVector;
+
+#[derive(Clone, PartialEq, Eq, Debug, Zeroize, ZeroizeOnDrop)]
+pub(crate) struct PointVector(pub(crate) Vec<EdwardsPoint>);
+
+impl Index<usize> for PointVector {
+  type Output = EdwardsPoint;
+  fn index(&self, index: usize) -> &EdwardsPoint {
+    &self.0[index]
+  }
+}
+
+impl IndexMut<usize> for PointVector {
+  fn index_mut(&mut self, index: usize) -> &mut EdwardsPoint {
+    &mut self.0[index]
+  }
+}
+
+impl PointVector {
+  #[cfg(test)]
+  pub(crate) fn multiexp(&self, vector: &ScalarVector) -> EdwardsPoint {
+    debug_assert_eq!(self.len(), vector.len());
+    let mut res = Vec::with_capacity(self.len());
+    for (point, scalar) in self.0.iter().copied().zip(vector.0.iter().copied()) {
+      res.push((scalar, point));
+    }
+    multiexp(&res)
+  }
+
+  pub(crate) fn len(&self) -> usize {
+    self.0.len()
+  }
+
+  pub(crate) fn split(mut self) -> (Self, Self) {
+    debug_assert!(self.len() > 1);
+    let r = self.0.split_off(self.0.len() / 2);
+    debug_assert_eq!(self.len(), r.len());
+    (self, PointVector(r))
+  }
+}