Add BLS12-381 operations (to FATE)
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include "BLS12_381.aes"
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contract GrothVerify =
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type fr = BLS12_381.fr
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type g1 = BLS12_381.g1
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type g2 = BLS12_381.g2
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record proof = { a : g1, b : g2, c : g1 }
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record verify_key = { a : g1, b : g2, c : g2, d : g2, ic : list(g1) }
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record state = { vk : verify_key }
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entrypoint init(vk0 : verify_key) = {vk = vk0}
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entrypoint verify_proof(p : proof, input : list(fr)) =
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let vk = state.vk
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let vk_x = calc_vk_x(vk.ic, input)
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BLS12_381.pairing_check([BLS12_381.g1_neg(p.a), vk.a, vk_x, p.c],
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[p.b, vk.b, vk.c, vk.d])
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function calc_vk_x(ics : list(g1), xs : list(fr)) =
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switch(ics)
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(ic :: ics) => calc_vk_x_(ic, ics, xs)
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function calc_vk_x_(vk_x : g1, ics : list(g1), xs : list(fr)) =
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switch((ics, xs))
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([], []) => vk_x
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(ic :: ics, x :: xs) => calc_vk_x_(BLS12_381.g1_add(vk_x, BLS12_381.g1_mul(x, ic)), ics, xs)
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