Algo 1 and tests

Algorithm1 and tests for sumcheck.
tested with basic MLE sumcheck, no hash, no commitment.

Co-Authored-By: Suyash Bagad <suyashbagad@iitb.ac.in>

Cargo.toml

@@ -1,67 +1,18 @@
 [package]
-name = "ark-linear-sumcheck"
-version = "0.3.0"
-authors = [
-    "Tom Shen <tomshen@berkeley.edu>",
-    "arkworks contributors"
-]
-description = "A library for efficient sumcheck protocols"
-homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/sumcheck/"
-keywords = ["cryptography", "finite-fields", "polynomials", "sumcheck"]
-categories = ["cryptography"]
-include = ["Cargo.toml", "src", "README.md", "LICENSE-APACHE", "LICENSE-MIT"]
-license = "MIT/Apache-2.0"
-edition = "2018"
-resolver = "2"
+name = "mle_single_poly"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
 
 [dependencies]
-ark-ff = { version = "0.4.0", default-features = false }
-ark-serialize = { version = "0.4.0", default-features = false, features = ["derive"] }
+ark-ff = { version = "0.4.2", default-features = false }
+ark-serialize = { version = "0.4.2", default-features = false, features = ["derive"] }
 ark-std = { version = "0.4.0", default-features = false }
 ark-poly = { version = "0.4.0", default-features = false }
-blake2 = { version = "0.9", default-features = false }
+blake2 = { version = "0.10.6", default-features = false }
 hashbrown = { version = "0.14.0" }
 rayon = { version = "1", optional = true }
-
-[dev-dependencies]
-ark-test-curves = { version = "0.4.0", default-features = false, features = ["bls12_381_scalar_field", "bls12_381_curve"] }
-
-[profile.release]
-opt-level = 3
-lto = "thin"
-incremental = true
-panic = 'abort'
-
-[profile.bench]
-opt-level = 3
-debug = false
-rpath = false
-lto = "thin"
-incremental = true
-debug-assertions = false
-
-[profile.dev]
-opt-level = 0
-panic = 'abort'
-
-[profile.test]
-opt-level = 3
-lto = "thin"
-incremental = true
-debug-assertions = true
-debug = true
-
-[features]
-default = ["std"]
-std = ["ark-ff/std", "ark-serialize/std", "blake2/std", "ark-std/std", "ark-poly/std"]
-parallel = ["std", "ark-ff/parallel", "ark-poly/parallel", "ark-std/parallel", "rayon"]
-
-# To be removed in the new release.
-[patch.crates-io]
-ark-ec = { git = "https://github.com/arkworks-rs/algebra" }
-ark-ff = { git = "https://github.com/arkworks-rs/algebra" }
-ark-poly = { git = "https://github.com/arkworks-rs/algebra" }
-ark-serialize = { git = "https://github.com/arkworks-rs/algebra" }
-ark-test-curves = { git = "https://github.com/arkworks-rs/algebra" }
-ark-std = { git = "https://github.com/arkworks-rs/std" }
+ark-ec = { version = "0.4.2"}
+ark-bls12-381 = {version = "0.4.0"}
+rand = "0.8"