logos-co
/
nomos-specs
mirror of https://github.com/logos-co/nomos-specs.git
1
0
Fork 0
Code Issues Packages Projects Releases Wiki Activity

Simplify ranges

This commit is contained in:
Daniel Sanchez Quiros 2024-06-20 15:49:12 +02:00
parent 422359acd7
commit ac147278a0
1 changed files with 6 additions and 8 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

14
da/kzg_rs/fk20.py
View File

@ -19,17 +19,16 @@ def __toeplitz1(global_parameters: List[G1], polynomial_degree: int) -> List[G1]
:return:
"""
assert len(global_parameters) >= polynomial_degree
roots_of_unity = compute_roots_of_unity(PRIMITIVE_ROOT, polynomial_degree*2, BLS_MODULUS)
global_parameters = global_parameters[:polynomial_degree]
# algorithm only works on powers of 2 for dft computations
assert is_power_of_two(len(global_parameters))
roots_of_unity = roots_of_unity[:2*polynomial_degree]
vector_x_extended = global_parameters + [bls.multiply(bls.Z1(), 0) for _ in range(len(global_parameters))]
roots_of_unity = compute_roots_of_unity(PRIMITIVE_ROOT, polynomial_degree*2, BLS_MODULUS)
vector_x_extended = global_parameters + [bls.multiply(bls.Z1(), 0) for _ in range(polynomial_degree)]
vector_x_extended_fft = fft_g1(vector_x_extended, roots_of_unity, BLS_MODULUS)
return vector_x_extended_fft
def __toeplitz2(coefficients: List[G1], extended_vector: Sequence[G1]) -> List[G1]:
def __toeplitz2(coefficients: List[BLSFieldElement], extended_vector: Sequence[G1]) -> List[G1]:
assert is_power_of_two(len(coefficients))
roots_of_unity = compute_roots_of_unity(PRIMITIVE_ROOT, len(coefficients), BLS_MODULUS)
toeplitz_coefficients_fft = fft(coefficients, roots_of_unity, BLS_MODULUS)
@ -61,13 +60,12 @@ def fk20_generate_proofs(
# 1.2 z = dft([*[0 for _ in len(polynomial)], f1, f2, ..., fd])
# 1.3 u = y * v * roots_of_unity(len(polynomial)*2)
roots_of_unity = compute_roots_of_unity(PRIMITIVE_ROOT, polynomial_degree, BLS_MODULUS)
global_parameters = [*global_parameters[polynomial_degree-2::-1], bls.multiply(bls.Z1(), 0)]
global_parameters = list(reversed(global_parameters))
extended_vector = __toeplitz1(global_parameters, polynomial_degree)
# 2 - Build circulant matrix with the polynomial coefficients (reversed N..n, and padded)
toeplitz_coefficients = [
polynomial.coefficients[-1],
*(BLSFieldElement(0) for _ in range(polynomial_degree+1)),
*polynomial.coefficients[1:-1]
*(BLSFieldElement(0) for _ in range(polynomial_degree)),
*polynomial.coefficients
]
h_extended_vector = __toeplitz2(toeplitz_coefficients, extended_vector)
# 3 - Perform fft and nub the tail half as it is padding