README.md

CircomLib/Circuits

Description

• This folder contains circuit templates for standard operations and many cryptographic primitives.
• Below you can find specifications of each function. In the representation of elements, there are three tyes:
  • Binary
  • String
  • Field element (the field is specified in each case. We consider 2 possible fields: Fp and Fr, where p... and r... .)

Table of Contents

[TOC]

Jordi

• compconstant - Returns 1 if in (expanded to binary array) > ct
• aliascheck - check if in (expanded to binary array) oveflowed its 254 bits (<= -1)
• babyjub - twisted Edwards curve 168700.x^2 + y^2 = 1 + 168696.x^2.y^2
  • BabyAdd - (xout,yout) = (x1,y1) + (x2,y2)
  • BabyDbl - (xout,yout) = 2*(x,y)
  • BabyCheck - check that (x,y) is on the curve
• binsub - binary subtraction
• gates - logical gates
• mimc - SNARK-friendly hash Minimal Multiplicative Complexity.
  • https://eprint.iacr.org/2016/492.pdf
  • zcash/zcash#2233
• smt - Sparse Merkle Tree
  • https://ethresear.ch/t/optimizing-sparse-merkle-trees/3751
• montgomery https://en.wikipedia.org/wiki/Montgomery_curve

Circuits

sha256

Folder containing the implementation of sha256 hash circuit.

smt

Folder containing the circuit implementation of Sparse Merkle Trees.

aliascheck

• AliasCheck()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

babyjub

Arithmetic on Baby Jubjub elliptic curve in twisted Edwards form. (TODO: Expose here the characteristics of the curve?)

• BabyAdd()

  • DESCRIPTION

    It adds two points on the Baby Jubjub curve. More specifically, given two points P1 = (x1, y1) and P2 = (x2, y2) it returns a point P3 = (xout, yout) such that

    (xout, yout) = (x1,y1) + (x2,y2) = ((x1y2+y1x2)/(1+dx1x2y1y2)),(y1y2-ax1x2)/(1-dx1x2y1y2))

  • SCHEMA

                                     var a     var d
                                       |         |
                                       |         |
                                 ______v_________v_______     
                input x1 ---->  |                        |
                input y1 ---->  |        BabyAdd()       | ----> output xout
                input x2 ---->  |                        | ----> output yout
                input y2 ---->  |________________________|     
    

  • INPUTS

    Input	Representation	Description
    x1	Bigint	Field element of Fp	First coordinate of a point (x1, y1) on E.
    y1	Bigint	Field element of Fp	Second coordinate of a point (x1, y1) on E.
    x2	Bigint	Field element of Fp	First coordinate of a point (x2, y2) on E.
    y2	Bigint	Field element of Fp	Second coordinate of a point (x2, y2) on E.

    Requirement: at least x1!=x2 or y1!=y2.

  • OUTPUT

    Input	Representation	Description
    xout	Bigint	Field element of Fp	First coordinate of the addition point (xout, yout) = (x1, y1) + (x2, y2).
    yout	Bigint	Field element of Fp	Second coordinate of the addition point (xout, yout) = (x1, y1) + (x2, y2).

  • BENCHMARKS (constraints)

  • EXAMPLE

• BabyDbl()

  • DESCRIPTION : doubles a point (xout,yout) = 2*(x,y).
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• BabyCheck()

  • DESCRIPTION : checks if a given point is in the curve.
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• BabyPbk()

  • DESCRIPTION: : given a private key, it returns the associated public key.
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

binsub

• BinSub(n)

  • DESCRIPTION: binary substraction.
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

binsum

• nbits(a)

  • DESCRIPTION : binary sum.
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• BinSum(n, ops)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

bitify

• Num2Bits()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Num2Bits_strict()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Bits2Num()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Bits2Num_strict()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Num2BitsNeg()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

comparators

• IsZero()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• IsEqual()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• ForceEqualIfEnabled()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• LessThan()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• GreaterThan()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• GreaterEqThan()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

compconstant

• CompConstant(ct)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

eddsa

Edwards Digital Signature Algorithm in Baby Jubjbub (link a eddsa)

• EdDSAVerifier(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

eddsamimc

• EdDSAMiMCVerifier()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

eddsamimcsponge

• EdDSAMiMCSpongeVerifier()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

eddsaposeidon

• EdDSAPoseidonVerifier()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

escalarmul

• EscalarMulWindow(base, k)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• EscalarMul(n, base)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

escalarmulany

• Multiplexor2()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• BitElementMulAny()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• SegmentMulAny(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• EscalarMulAny(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

escalarmulfix

• WindowMulFix()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• SegmentMulFix(nWindows)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• EscalarMulFix(n, BASE)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

escalarmulw4table

• pointAdd

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• EscalarMulW4Table

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

gates

• XOR

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• AND

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• OR

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• NOT

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• NAND

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• NOR

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• MultiAND

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

mimc

Implementation of MiMC-7 hash in Fp being... (link to description of the hash)

• MiMC7(nrounds)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• MultiMiMC7(nInputs, nRounds)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

mimcsponge

• MiMCSponge(nInputs, nOutputs)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• MiMCFeistel(nrounds)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

montgomery

• Edwards2Montgomery()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Montgomery2Edwards()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• MontgomeryAdd()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• MontgomeryDouble()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

multiplexer

• log2(a)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• EscalarProduct(w)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Decoder(w)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Multiplexer(wIn, nIn)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

mux1

• MultiMux1(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Mux1()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

mux2

• MultiMux2(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Mux2()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

mux3

• MultiMux3(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Mux3()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

mux4

• MultiMux4(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Mux4()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

pedersen_old

Old version of the Pedersen hash (do not use any more?).

pedersen

• Window4()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Segment(nWindows)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Pedersen(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

pointbits

• sqrt(n)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Bits2Point()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Bits2Point_Strict()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Point2Bits

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Point2Bits_Strict

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

poseidon

Implementation of Poseidon hash function (LINK)

• Sigma()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Ark(t, C)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Mix(t, M)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

• Poseidon(nInputs, t, nRoundsF, nRoundsP)

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

sign

• Sign()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE

switcher

• Switcher()

  • DESCRIPTION
  • SCHEMA
  • INPUT
  • OUTPUT
  • BENCHMARKS
  • EXAMPLE