enabling batch opening and mock tests (#80)

- add mock circuits
- add vanilla and jellyfish plonk gates
- performance tuning

arithmetic/benches/bench.rs

@@ -0,0 +1,37 @@
+#[macro_use]
+extern crate criterion;
+
+use arithmetic::fix_variables;
+use ark_bls12_381::Fr;
+use ark_ff::Field;
+use ark_poly::{DenseMultilinearExtension, MultilinearExtension};
+use ark_std::{ops::Range, test_rng};
+use criterion::{black_box, BenchmarkId, Criterion};
+
+const NUM_VARIABLES_RANGE: Range<usize> = 10..21;
+
+fn evaluation_op_bench<F: Field>(c: &mut Criterion) {
+    let mut rng = test_rng();
+    let mut group = c.benchmark_group("Evaluate");
+    for nv in NUM_VARIABLES_RANGE {
+        group.bench_with_input(BenchmarkId::new("evaluate native", nv), &nv, |b, &nv| {
+            let poly = DenseMultilinearExtension::<F>::rand(nv, &mut rng);
+            let point: Vec<_> = (0..nv).map(|_| F::rand(&mut rng)).collect();
+            b.iter(|| black_box(poly.evaluate(&point).unwrap()))
+        });
+
+        group.bench_with_input(BenchmarkId::new("evaluate optimized", nv), &nv, |b, &nv| {
+            let poly = DenseMultilinearExtension::<F>::rand(nv, &mut rng);
+            let point: Vec<_> = (0..nv).map(|_| F::rand(&mut rng)).collect();
+            b.iter(|| black_box(fix_variables(&poly, &point)))
+        });
+    }
+    group.finish();
+}
+
+fn bench_bls_381(c: &mut Criterion) {
+    evaluation_op_bench::<Fr>(c);
+}
+
+criterion_group!(benches, bench_bls_381);
+criterion_main!(benches);