sp-std removal from substrate/primitives (#3274)

This PR removes sp-std crate from substrate/primitives sub-directories.

For now crates that have `pub use` of sp-std or export macros that would
necessitate users of the macros to `extern crate alloc` have been
excluded from this PR.

There should be no breaking changes in this PR.

---------

Co-authored-by: Koute <koute@users.noreply.github.com>

substrate/primitives/merkle-mountain-range/src/lib.rs

@@ -20,14 +20,16 @@
 #![cfg_attr(not(feature = "std"), no_std)]
 #![warn(missing_docs)]
 
+extern crate alloc;
+
 pub use mmr_lib;
 
+#[cfg(not(feature = "std"))]
+use alloc::vec::Vec;
+use core::fmt;
 use scale_info::TypeInfo;
 use sp_debug_derive::RuntimeDebug;
 use sp_runtime::traits;
-use sp_std::fmt;
-#[cfg(not(feature = "std"))]
-use sp_std::prelude::Vec;
 
 pub mod utils;
 
@@ -248,10 +250,10 @@ impl<H: traits::Hash, L: FullLeaf> DataOrHash<H, L> {
 pub struct Compact<H, T> {
 	/// Internal tuple representation.
 	pub tuple: T,
-	_hash: sp_std::marker::PhantomData<H>,
+	_hash: core::marker::PhantomData<H>,
 }
 
-impl<H, T> sp_std::ops::Deref for Compact<H, T> {
+impl<H, T> core::ops::Deref for Compact<H, T> {
 	type Target = T;
 
 	fn deref(&self) -> &Self::Target {

substrate/primitives/merkle-mountain-range/src/utils.rs

@@ -20,9 +20,9 @@
 use codec::Encode;
 use mmr_lib::helper;
 
-use sp_runtime::traits::{CheckedAdd, CheckedSub, Header, One};
 #[cfg(not(feature = "std"))]
-use sp_std::prelude::Vec;
+use alloc::vec::Vec;
+use sp_runtime::traits::{CheckedAdd, CheckedSub, Header, One};
 
 use crate::{Error, LeafIndex, NodeIndex};
 
@@ -131,7 +131,7 @@ impl NodesUtils {
 	/// Used for nodes added by now finalized blocks.
 	/// Never read keys using `node_canon_offchain_key` unless you sure that
 	/// there's no `node_offchain_key` key in the storage.
-	pub fn node_canon_offchain_key(prefix: &[u8], pos: NodeIndex) -> sp_std::prelude::Vec<u8> {
+	pub fn node_canon_offchain_key(prefix: &[u8], pos: NodeIndex) -> alloc::vec::Vec<u8> {
 		(prefix, pos).encode()
 	}
 }