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57 lines
3.6 KiB
Nim
57 lines
3.6 KiB
Nim
# Constantine
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# Copyright (c) 2018-2019 Status Research & Development GmbH
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# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
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# Licensed and distributed under either of
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# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
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# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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import
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../config/[curves, type_bigint],
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../towers,
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../io/io_bigints,
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../pairing/cyclotomic_fp12
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# The bit count must be exact for the Miller loop
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const BLS12_377_pairing_ate_param* = block:
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# BLS Miller loop is parametrized by u
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# +1 so that we can take *3 and NAF encode it
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BigInt[64+1].fromHex("0x8508c00000000001")
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const BLS12_377_pairing_ate_param_isNeg* = false
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const BLS12_377_pairing_finalexponent* = block:
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# (p^12 - 1) / r
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# BigInt[4269].fromHex"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"
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# (p^12 - 1) / r * 3
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BigInt[4271].fromHex"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"
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func pow_x*(r: var Fp12[BLS12_377], a: Fp12[BLS12_377], invert = BLS12_377_pairing_ate_param_isNeg) =
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## f^x with x the curve parameter
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## For BLS12_377 f^-0x8508c00000000001
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## Warning: The parameter is odd and needs a correction
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r.cyclotomic_square(a)
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r *= a
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r.cyclotomic_square()
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r *= a
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let t111 = r
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r.cycl_sqr_repeated(2)
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let t111000 = r
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r *= t111
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let t100011 = r
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r.cyclotomic_square()
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r *= t100011
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r *= t111000
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r.cycl_sqr_repeated(10)
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r *= t100011
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r.cycl_sqr_repeated(46)
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r *= a
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if invert:
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r.cyclotomic_inv()
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