Struct lambdaworks_math::unsigned_integer::montgomery::MontgomeryAlgorithms

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pub struct MontgomeryAlgorithms;

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impl MontgomeryAlgorithms

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pub const fn cios<const NUM_LIMBS: usize>( a: &UnsignedInteger<NUM_LIMBS>, b: &UnsignedInteger<NUM_LIMBS>, q: &UnsignedInteger<NUM_LIMBS>, mu: &u64, ) -> UnsignedInteger<NUM_LIMBS>

Compute CIOS multiplication of a * b q is the modulus mu is the inverse of -q modulo 2^{64} Notice CIOS stands for Coarsely Integrated Operand Scanning For more information see section 2.3.2 of Tolga Acar’s thesis https://www.microsoft.com/en-us/research/wp-content/uploads/1998/06/97Acar.pdf

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pub fn cios_optimized_for_moduli_with_one_spare_bit<const NUM_LIMBS: usize>( a: &UnsignedInteger<NUM_LIMBS>, b: &UnsignedInteger<NUM_LIMBS>, q: &UnsignedInteger<NUM_LIMBS>, mu: &u64, ) -> UnsignedInteger<NUM_LIMBS>

Compute CIOS multiplication of a * b This is the Algorithm 2 described in the paper “EdMSM: Multi-Scalar-Multiplication for SNARKs and Faster Montgomery multiplication” https://eprint.iacr.org/2022/1400.pdf. It is only suited for moduli with q[0] smaller than 2^63 - 1. q is the modulus mu is the inverse of -q modulo 2^{64}

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pub fn sos_square<const NUM_LIMBS: usize>( a: &UnsignedInteger<NUM_LIMBS>, q: &UnsignedInteger<NUM_LIMBS>, mu: &u64, ) -> UnsignedInteger<NUM_LIMBS>

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