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fe500a6a79
* Productionize: move protocols top-level vs backend * fix path * import fix * the last one * benches as well
90 lines
2.1 KiB
Nim
90 lines
2.1 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,
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../arithmetic/finite_fields
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# ############################################################
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#
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# Specialized inversion for BN254-Nogami
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#
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# ############################################################
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func invsqrt_addchain*(r: var Fp[BN254_Nogami], a: Fp[BN254_Nogami]) {.addchain.} =
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var
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x10 {.noInit.}: Fp[BN254_Nogami]
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x11 {.noInit.}: Fp[BN254_Nogami]
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x10 .square(a)
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x11 .prod(a, x10)
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# 2 operations
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var
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r10 {.noInit.}: Fp[BN254_Nogami]
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r14 {.noInit.}: Fp[BN254_Nogami]
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r15 {.noInit.}: Fp[BN254_Nogami]
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r20 {.noInit.}: Fp[BN254_Nogami]
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r23 {.noInit.}: Fp[BN254_Nogami]
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r24 {.noInit.}: Fp[BN254_Nogami]
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r25 {.noInit.}: Fp[BN254_Nogami]
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r33 {.noInit.}: Fp[BN254_Nogami]
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r35 {.noInit.}: Fp[BN254_Nogami]
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r36 {.noInit.}: Fp[BN254_Nogami]
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r37 {.noInit.}: Fp[BN254_Nogami]
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r98 {.noInit.}: Fp[BN254_Nogami]
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r263 {.noInit.}: Fp[BN254_Nogami]
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r10.square_repeated(x11, 7)
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r10 *= x11
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r14.square(r10)
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r14 *= r10
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r14.square_repeated(2)
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r15.prod(r10, r14)
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r20.square_repeated(r15, 3)
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r20 *= r15
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r20 *= r14
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r23.square_repeated(r20, 2)
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r23 *= r20
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r24.prod(r20, r23)
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r25.prod(r23, r24)
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r33.square(r25)
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r33 *= r25
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r33.square_repeated(2)
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r33 *= r25
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r33.square_repeated(3)
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r35.prod(r25, r33)
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r35 *= r24
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r36.square(r35)
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r37.prod(r35, r36)
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r.prod(r36, r37)
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r.square_repeated(3)
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r *= r37
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r.square_repeated(55)
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r *= r35
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r.square_repeated(55)
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r *= r25
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r.square_repeated(56)
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r *= r15
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r.square_repeated(52)
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r *= a
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r.square_repeated(2)
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# Total 265 operations
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