FRI uses barycentric formula to evaluate poly#140
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qizhou wants to merge 2 commits intoethereum:masterfrom
Open
FRI uses barycentric formula to evaluate poly#140qizhou wants to merge 2 commits intoethereum:masterfrom
qizhou wants to merge 2 commits intoethereum:masterfrom
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This PR optimizes the polynomial evaluation in FRI using the Barycentric formula (in coset) with linear complexity without Lagrange interpolation. The performance of generating a proof in python is twice that of the Lagrange one. Below is the perf number on my machine (MacBook):
Degree = 4096, Values = 16384
Before: 0.2776
After: 0.1437s
Degree = 4096, Values = 65536
Before: 1.0076s
After: 0.5226s
The performance gain may be larger if we reduce g(x, x^n) = f(x) with n = 8 or larger.