@ -1 +1,4 @@ |
|||||
/target |
/target |
||||
|
Cargo.lock |
||||
|
circom/artifacts |
||||
|
circom/node_modules |
@ -1,16 +0,0 @@ |
|||||
{ |
|
||||
"systemParams": "linux-x64-108", |
|
||||
"modulesFolders": [ |
|
||||
"node_modules" |
|
||||
], |
|
||||
"flags": [], |
|
||||
"linkedModules": [], |
|
||||
"topLevelPatterns": [ |
|
||||
"circomlib@^2.0.5" |
|
||||
], |
|
||||
"lockfileEntries": { |
|
||||
"circomlib@^2.0.5": "https://registry.yarnpkg.com/circomlib/-/circomlib-2.0.5.tgz#183c703e53ed7d011811842dbeeeb9819f4cc1d6" |
|
||||
}, |
|
||||
"files": [], |
|
||||
"artifacts": {} |
|
||||
} |
|
@ -1,63 +0,0 @@ |
|||||
{ |
|
||||
// Use IntelliSense to learn about possible attributes. |
|
||||
// Hover to view descriptions of existing attributes. |
|
||||
// For more information, visit: https://go.microsoft.com/fwlink/?linkid=830387 |
|
||||
"version": "0.2.0", |
|
||||
"configurations": [ |
|
||||
{ |
|
||||
"type": "pwa-node", |
|
||||
"request": "launch", |
|
||||
"name": "Launch Program", |
|
||||
"skipFiles": [ |
|
||||
"<node_internals>/**" |
|
||||
], |
|
||||
"program": "${workspaceFolder}/calcoptimizedposeidonconsts/test_poseidon.js", |
|
||||
"cwd": "${workspaceFolder}/calcoptimizedposeidonconsts" |
|
||||
}, |
|
||||
{ |
|
||||
"type": "pwa-node", |
|
||||
"request": "launch", |
|
||||
"name": "Tests", |
|
||||
"skipFiles": [ |
|
||||
"<node_internals>/**" |
|
||||
], |
|
||||
"program": "${workspaceFolder}/node_modules/mocha/bin/_mocha", |
|
||||
"cwd": "${workspaceFolder}", |
|
||||
"args": ["test/smtverifier.js"] |
|
||||
}, |
|
||||
{ |
|
||||
"type": "pwa-node", |
|
||||
"request": "launch", |
|
||||
"name": "Test Poseidon", |
|
||||
"skipFiles": [ |
|
||||
"<node_internals>/**" |
|
||||
], |
|
||||
"program": "${workspaceFolder}/node_modules/mocha/bin/_mocha", |
|
||||
"cwd": "${workspaceFolder}", |
|
||||
"args": ["test/poseidoncircuit.js"] |
|
||||
}, |
|
||||
{ |
|
||||
"type": "pwa-node", |
|
||||
"request": "launch", |
|
||||
"name": "Test binsum", |
|
||||
"skipFiles": [ |
|
||||
"<node_internals>/**" |
|
||||
], |
|
||||
"program": "${workspaceFolder}/node_modules/mocha/bin/_mocha", |
|
||||
"cwd": "${workspaceFolder}", |
|
||||
"args": ["test/binsum.js"] |
|
||||
}, |
|
||||
{ |
|
||||
"type": "pwa-node", |
|
||||
"request": "launch", |
|
||||
"name": "Test babyjub", |
|
||||
"skipFiles": [ |
|
||||
"<node_internals>/**" |
|
||||
], |
|
||||
"program": "${workspaceFolder}/node_modules/mocha/bin/_mocha", |
|
||||
"cwd": "${workspaceFolder}", |
|
||||
"args": ["test/babyjub.js"] |
|
||||
} |
|
||||
|
|
||||
] |
|
||||
} |
|
@ -1,18 +0,0 @@ |
|||||
# CircomLib |
|
||||
|
|
||||
## Description |
|
||||
|
|
||||
- This repository contains a library of circuit templates. |
|
||||
- All files are copyrighted under 2018 0KIMS association and part of the free software [circom](https://github.com/iden3/circom) (Zero Knowledge Circuit Compiler). |
|
||||
- You can read more about the circom language in [the circom documentation webpage](https://docs.circom.io/). |
|
||||
|
|
||||
## Organisation |
|
||||
|
|
||||
This respository contains 5 folders: |
|
||||
- `circuits`: it contains the implementation of different cryptographic primitives in circom language. |
|
||||
- `calcpedersenbases`: set of functions in JavaScript used to find a set of points in [Baby Jubjub](https://github.com/barryWhiteHat/baby_jubjub) elliptic curve that serve as basis for the [Pedersen Hash](https://github.com/zcash/zcash/issues/2234). |
|
||||
- `doc`: it contains some circuit schemes in ASCII (must be opened with Monodraw, an ASCII art editor for Mac). |
|
||||
- `src`: it contains similar implementation of circuits in JavaScript. |
|
||||
- `test`: tests. |
|
||||
|
|
||||
A description of the specific circuit templates for the `circuit` folder will be soon updated. |
|
@ -1,830 +0,0 @@ |
|||||
# 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](https://github.com/barryWhiteHat/baby_jubjub) 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, nRounds, 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, r)` |
|
||||
|
|
||||
- DESCRIPTION |
|
||||
- SCHEMA |
|
||||
- INPUT |
|
||||
- OUTPUT |
|
||||
- BENCHMARKS |
|
||||
- EXAMPLE |
|
||||
|
|
||||
- `Mix(t, M)` |
|
||||
|
|
||||
- DESCRIPTION |
|
||||
- SCHEMA |
|
||||
- INPUT |
|
||||
- OUTPUT |
|
||||
- BENCHMARKS |
|
||||
- EXAMPLE |
|
||||
|
|
||||
- `Poseidon(nInputs)` |
|
||||
|
|
||||
- DESCRIPTION |
|
||||
- SCHEMA |
|
||||
- INPUT |
|
||||
- OUTPUT |
|
||||
- BENCHMARKS |
|
||||
- EXAMPLE |
|
||||
|
|
||||
### sign |
|
||||
|
|
||||
- `Sign()` |
|
||||
|
|
||||
- DESCRIPTION |
|
||||
- SCHEMA |
|
||||
- INPUT |
|
||||
- OUTPUT |
|
||||
- BENCHMARKS |
|
||||
- EXAMPLE |
|
||||
|
|
||||
### switcher |
|
||||
|
|
||||
- `Switcher()` |
|
||||
|
|
||||
- DESCRIPTION |
|
||||
- SCHEMA |
|
||||
- INPUT |
|
||||
- OUTPUT |
|
||||
- BENCHMARKS |
|
||||
- EXAMPLE |
|
@ -1,33 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "compconstant.circom"; |
|
||||
|
|
||||
|
|
||||
template AliasCheck() { |
|
||||
|
|
||||
signal input in[254]; |
|
||||
|
|
||||
component compConstant = CompConstant(-1); |
|
||||
|
|
||||
for (var i=0; i<254; i++) in[i] ==> compConstant.in[i]; |
|
||||
|
|
||||
compConstant.out === 0; |
|
||||
} |
|
@ -1,107 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "bitify.circom"; |
|
||||
include "escalarmulfix.circom"; |
|
||||
|
|
||||
template BabyAdd() { |
|
||||
signal input x1; |
|
||||
signal input y1; |
|
||||
signal input x2; |
|
||||
signal input y2; |
|
||||
signal output xout; |
|
||||
signal output yout; |
|
||||
|
|
||||
signal beta; |
|
||||
signal gamma; |
|
||||
signal delta; |
|
||||
signal tau; |
|
||||
|
|
||||
var a = 168700; |
|
||||
var d = 168696; |
|
||||
|
|
||||
beta <== x1*y2; |
|
||||
gamma <== y1*x2; |
|
||||
delta <== (-a*x1+y1)*(x2 + y2); |
|
||||
tau <== beta * gamma; |
|
||||
|
|
||||
xout <-- (beta + gamma) / (1+ d*tau); |
|
||||
(1+ d*tau) * xout === (beta + gamma); |
|
||||
|
|
||||
yout <-- (delta + a*beta - gamma) / (1-d*tau); |
|
||||
(1-d*tau)*yout === (delta + a*beta - gamma); |
|
||||
} |
|
||||
|
|
||||
template BabyDbl() { |
|
||||
signal input x; |
|
||||
signal input y; |
|
||||
signal output xout; |
|
||||
signal output yout; |
|
||||
|
|
||||
component adder = BabyAdd(); |
|
||||
adder.x1 <== x; |
|
||||
adder.y1 <== y; |
|
||||
adder.x2 <== x; |
|
||||
adder.y2 <== y; |
|
||||
|
|
||||
adder.xout ==> xout; |
|
||||
adder.yout ==> yout; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
template BabyCheck() { |
|
||||
signal input x; |
|
||||
signal input y; |
|
||||
|
|
||||
signal x2; |
|
||||
signal y2; |
|
||||
|
|
||||
var a = 168700; |
|
||||
var d = 168696; |
|
||||
|
|
||||
x2 <== x*x; |
|
||||
y2 <== y*y; |
|
||||
|
|
||||
a*x2 + y2 === 1 + d*x2*y2; |
|
||||
} |
|
||||
|
|
||||
// Extracts the public key from private key |
|
||||
template BabyPbk() { |
|
||||
signal input in; |
|
||||
signal output Ax; |
|
||||
signal output Ay; |
|
||||
|
|
||||
var BASE8[2] = [ |
|
||||
5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203 |
|
||||
]; |
|
||||
|
|
||||
component pvkBits = Num2Bits(253); |
|
||||
pvkBits.in <== in; |
|
||||
|
|
||||
component mulFix = EscalarMulFix(253, BASE8); |
|
||||
|
|
||||
var i; |
|
||||
for (i=0; i<253; i++) { |
|
||||
mulFix.e[i] <== pvkBits.out[i]; |
|
||||
} |
|
||||
Ax <== mulFix.out[0]; |
|
||||
Ay <== mulFix.out[1]; |
|
||||
} |
|
@ -1,74 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
This component creates a binary substraction. |
|
||||
|
|
||||
|
|
||||
Main Constraint: |
|
||||
(in[0][0] * 2^0 + in[0][1] * 2^1 + ..... + in[0][n-1] * 2^(n-1)) + |
|
||||
+ 2^n |
|
||||
- (in[1][0] * 2^0 + in[1][1] * 2^1 + ..... + in[1][n-1] * 2^(n-1)) |
|
||||
=== |
|
||||
out[0] * 2^0 + out[1] * 2^1 + + out[n-1] *2^(n-1) + aux |
|
||||
|
|
||||
|
|
||||
out[0] * (out[0] - 1) === 0 |
|
||||
out[1] * (out[0] - 1) === 0 |
|
||||
. |
|
||||
. |
|
||||
. |
|
||||
out[n-1] * (out[n-1] - 1) === 0 |
|
||||
aux * (aux-1) == 0 |
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template BinSub(n) { |
|
||||
signal input in[2][n]; |
|
||||
signal output out[n]; |
|
||||
|
|
||||
signal aux; |
|
||||
|
|
||||
var lin = 2**n; |
|
||||
var lout = 0; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
for (i=0; i<n; i++) { |
|
||||
lin = lin + in[0][i]*(2**i); |
|
||||
lin = lin - in[1][i]*(2**i); |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<n; i++) { |
|
||||
out[i] <-- (lin >> i) & 1; |
|
||||
|
|
||||
// Ensure out is binary |
|
||||
out[i] * (out[i] - 1) === 0; |
|
||||
|
|
||||
lout = lout + out[i]*(2**i); |
|
||||
} |
|
||||
|
|
||||
aux <-- (lin >> n) & 1; |
|
||||
aux*(aux-1) === 0; |
|
||||
lout = lout + aux*(2**n); |
|
||||
|
|
||||
// Ensure the sum; |
|
||||
lin === lout; |
|
||||
} |
|
@ -1,101 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
|
|
||||
Binary Sum |
|
||||
========== |
|
||||
|
|
||||
This component creates a binary sum componet of ops operands and n bits each operand. |
|
||||
|
|
||||
e is Number of carries: Depends on the number of operands in the input. |
|
||||
|
|
||||
Main Constraint: |
|
||||
in[0][0] * 2^0 + in[0][1] * 2^1 + ..... + in[0][n-1] * 2^(n-1) + |
|
||||
+ in[1][0] * 2^0 + in[1][1] * 2^1 + ..... + in[1][n-1] * 2^(n-1) + |
|
||||
+ .. |
|
||||
+ in[ops-1][0] * 2^0 + in[ops-1][1] * 2^1 + ..... + in[ops-1][n-1] * 2^(n-1) + |
|
||||
=== |
|
||||
out[0] * 2^0 + out[1] * 2^1 + + out[n+e-1] *2(n+e-1) |
|
||||
|
|
||||
To waranty binary outputs: |
|
||||
|
|
||||
out[0] * (out[0] - 1) === 0 |
|
||||
out[1] * (out[0] - 1) === 0 |
|
||||
. |
|
||||
. |
|
||||
. |
|
||||
out[n+e-1] * (out[n+e-1] - 1) == 0 |
|
||||
|
|
||||
*/ |
|
||||
|
|
||||
|
|
||||
/* |
|
||||
This function calculates the number of extra bits in the output to do the full sum. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
function nbits(a) { |
|
||||
var n = 1; |
|
||||
var r = 0; |
|
||||
while (n-1<a) { |
|
||||
r++; |
|
||||
n *= 2; |
|
||||
} |
|
||||
return r; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
template BinSum(n, ops) { |
|
||||
var nout = nbits((2**n -1)*ops); |
|
||||
signal input in[ops][n]; |
|
||||
signal output out[nout]; |
|
||||
|
|
||||
var lin = 0; |
|
||||
var lout = 0; |
|
||||
|
|
||||
var k; |
|
||||
var j; |
|
||||
|
|
||||
var e2; |
|
||||
|
|
||||
e2 = 1; |
|
||||
for (k=0; k<n; k++) { |
|
||||
for (j=0; j<ops; j++) { |
|
||||
lin += in[j][k] * e2; |
|
||||
} |
|
||||
e2 = e2 + e2; |
|
||||
} |
|
||||
|
|
||||
e2 = 1; |
|
||||
for (k=0; k<nout; k++) { |
|
||||
out[k] <-- (lin >> k) & 1; |
|
||||
|
|
||||
// Ensure out is binary |
|
||||
out[k] * (out[k] - 1) === 0; |
|
||||
|
|
||||
lout += out[k] * e2; |
|
||||
|
|
||||
e2 = e2+e2; |
|
||||
} |
|
||||
|
|
||||
// Ensure the sum; |
|
||||
|
|
||||
lin === lout; |
|
||||
} |
|
@ -1,106 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "comparators.circom"; |
|
||||
include "aliascheck.circom"; |
|
||||
|
|
||||
|
|
||||
template Num2Bits(n) { |
|
||||
signal input in; |
|
||||
signal output out[n]; |
|
||||
var lc1=0; |
|
||||
|
|
||||
var e2=1; |
|
||||
for (var i = 0; i<n; i++) { |
|
||||
out[i] <-- (in >> i) & 1; |
|
||||
out[i] * (out[i] -1 ) === 0; |
|
||||
lc1 += out[i] * e2; |
|
||||
e2 = e2+e2; |
|
||||
} |
|
||||
|
|
||||
lc1 === in; |
|
||||
} |
|
||||
|
|
||||
template Num2Bits_strict() { |
|
||||
signal input in; |
|
||||
signal output out[254]; |
|
||||
|
|
||||
component aliasCheck = AliasCheck(); |
|
||||
component n2b = Num2Bits(254); |
|
||||
in ==> n2b.in; |
|
||||
|
|
||||
for (var i=0; i<254; i++) { |
|
||||
n2b.out[i] ==> out[i]; |
|
||||
n2b.out[i] ==> aliasCheck.in[i]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template Bits2Num(n) { |
|
||||
signal input in[n]; |
|
||||
signal output out; |
|
||||
var lc1=0; |
|
||||
|
|
||||
var e2 = 1; |
|
||||
for (var i = 0; i<n; i++) { |
|
||||
lc1 += in[i] * e2; |
|
||||
e2 = e2 + e2; |
|
||||
} |
|
||||
|
|
||||
lc1 ==> out; |
|
||||
} |
|
||||
|
|
||||
template Bits2Num_strict() { |
|
||||
signal input in[254]; |
|
||||
signal output out; |
|
||||
|
|
||||
component aliasCheck = AliasCheck(); |
|
||||
component b2n = Bits2Num(254); |
|
||||
|
|
||||
for (var i=0; i<254; i++) { |
|
||||
in[i] ==> b2n.in[i]; |
|
||||
in[i] ==> aliasCheck.in[i]; |
|
||||
} |
|
||||
|
|
||||
b2n.out ==> out; |
|
||||
} |
|
||||
|
|
||||
template Num2BitsNeg(n) { |
|
||||
signal input in; |
|
||||
signal output out[n]; |
|
||||
var lc1=0; |
|
||||
|
|
||||
component isZero; |
|
||||
|
|
||||
isZero = IsZero(); |
|
||||
|
|
||||
var neg = n == 0 ? 0 : 2**n - in; |
|
||||
|
|
||||
for (var i = 0; i<n; i++) { |
|
||||
out[i] <-- (neg >> i) & 1; |
|
||||
out[i] * (out[i] -1 ) === 0; |
|
||||
lc1 += out[i] * 2**i; |
|
||||
} |
|
||||
|
|
||||
in ==> isZero.in; |
|
||||
|
|
||||
|
|
||||
|
|
||||
lc1 + isZero.out * 2**n === 2**n - in; |
|
||||
} |
|
@ -1,141 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "bitify.circom"; |
|
||||
include "binsum.circom"; |
|
||||
|
|
||||
template IsZero() { |
|
||||
signal input in; |
|
||||
signal output out; |
|
||||
|
|
||||
signal inv; |
|
||||
|
|
||||
inv <-- in!=0 ? 1/in : 0; |
|
||||
|
|
||||
out <== -in*inv +1; |
|
||||
in*out === 0; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
template IsEqual() { |
|
||||
signal input in[2]; |
|
||||
signal output out; |
|
||||
|
|
||||
component isz = IsZero(); |
|
||||
|
|
||||
in[1] - in[0] ==> isz.in; |
|
||||
|
|
||||
isz.out ==> out; |
|
||||
} |
|
||||
|
|
||||
template ForceEqualIfEnabled() { |
|
||||
signal input enabled; |
|
||||
signal input in[2]; |
|
||||
|
|
||||
component isz = IsZero(); |
|
||||
|
|
||||
in[1] - in[0] ==> isz.in; |
|
||||
|
|
||||
(1 - isz.out)*enabled === 0; |
|
||||
} |
|
||||
|
|
||||
/* |
|
||||
// N is the number of bits the input have. |
|
||||
// The MSF is the sign bit. |
|
||||
template LessThan(n) { |
|
||||
signal input in[2]; |
|
||||
signal output out; |
|
||||
|
|
||||
component num2Bits0; |
|
||||
component num2Bits1; |
|
||||
|
|
||||
component adder; |
|
||||
|
|
||||
adder = BinSum(n, 2); |
|
||||
|
|
||||
num2Bits0 = Num2Bits(n); |
|
||||
num2Bits1 = Num2BitsNeg(n); |
|
||||
|
|
||||
in[0] ==> num2Bits0.in; |
|
||||
in[1] ==> num2Bits1.in; |
|
||||
|
|
||||
var i; |
|
||||
for (i=0;i<n;i++) { |
|
||||
num2Bits0.out[i] ==> adder.in[0][i]; |
|
||||
num2Bits1.out[i] ==> adder.in[1][i]; |
|
||||
} |
|
||||
|
|
||||
adder.out[n-1] ==> out; |
|
||||
} |
|
||||
*/ |
|
||||
|
|
||||
template LessThan(n) { |
|
||||
assert(n <= 252); |
|
||||
signal input in[2]; |
|
||||
signal output out; |
|
||||
|
|
||||
component n2b = Num2Bits(n+1); |
|
||||
|
|
||||
n2b.in <== in[0]+ (1<<n) - in[1]; |
|
||||
|
|
||||
out <== 1-n2b.out[n]; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
|
|
||||
// N is the number of bits the input have. |
|
||||
// The MSF is the sign bit. |
|
||||
template LessEqThan(n) { |
|
||||
signal input in[2]; |
|
||||
signal output out; |
|
||||
|
|
||||
component lt = LessThan(n); |
|
||||
|
|
||||
lt.in[0] <== in[0]; |
|
||||
lt.in[1] <== in[1]+1; |
|
||||
lt.out ==> out; |
|
||||
} |
|
||||
|
|
||||
// N is the number of bits the input have. |
|
||||
// The MSF is the sign bit. |
|
||||
template GreaterThan(n) { |
|
||||
signal input in[2]; |
|
||||
signal output out; |
|
||||
|
|
||||
component lt = LessThan(n); |
|
||||
|
|
||||
lt.in[0] <== in[1]; |
|
||||
lt.in[1] <== in[0]; |
|
||||
lt.out ==> out; |
|
||||
} |
|
||||
|
|
||||
// N is the number of bits the input have. |
|
||||
// The MSF is the sign bit. |
|
||||
template GreaterEqThan(n) { |
|
||||
signal input in[2]; |
|
||||
signal output out; |
|
||||
|
|
||||
component lt = LessThan(n); |
|
||||
|
|
||||
lt.in[0] <== in[1]; |
|
||||
lt.in[1] <== in[0]+1; |
|
||||
lt.out ==> out; |
|
||||
} |
|
||||
|
|
@ -1,74 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "bitify.circom"; |
|
||||
|
|
||||
// Returns 1 if in (in binary) > ct |
|
||||
|
|
||||
template CompConstant(ct) { |
|
||||
signal input in[254]; |
|
||||
signal output out; |
|
||||
|
|
||||
signal parts[127]; |
|
||||
signal sout; |
|
||||
|
|
||||
var clsb; |
|
||||
var cmsb; |
|
||||
var slsb; |
|
||||
var smsb; |
|
||||
|
|
||||
var sum=0; |
|
||||
|
|
||||
var b = (1 << 128) -1; |
|
||||
var a = 1; |
|
||||
var e = 1; |
|
||||
var i; |
|
||||
|
|
||||
for (i=0;i<127; i++) { |
|
||||
clsb = (ct >> (i*2)) & 1; |
|
||||
cmsb = (ct >> (i*2+1)) & 1; |
|
||||
slsb = in[i*2]; |
|
||||
smsb = in[i*2+1]; |
|
||||
|
|
||||
if ((cmsb==0)&&(clsb==0)) { |
|
||||
parts[i] <== -b*smsb*slsb + b*smsb + b*slsb; |
|
||||
} else if ((cmsb==0)&&(clsb==1)) { |
|
||||
parts[i] <== a*smsb*slsb - a*slsb + b*smsb - a*smsb + a; |
|
||||
} else if ((cmsb==1)&&(clsb==0)) { |
|
||||
parts[i] <== b*smsb*slsb - a*smsb + a; |
|
||||
} else { |
|
||||
parts[i] <== -a*smsb*slsb + a; |
|
||||
} |
|
||||
|
|
||||
sum = sum + parts[i]; |
|
||||
|
|
||||
b = b -e; |
|
||||
a = a +e; |
|
||||
e = e*2; |
|
||||
} |
|
||||
|
|
||||
sout <== sum; |
|
||||
|
|
||||
component num2bits = Num2Bits(135); |
|
||||
|
|
||||
num2bits.in <== sout; |
|
||||
|
|
||||
out <== num2bits.out[127]; |
|
||||
} |
|
@ -1,139 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "compconstant.circom"; |
|
||||
include "pointbits.circom"; |
|
||||
include "pedersen.circom"; |
|
||||
include "escalarmulany.circom"; |
|
||||
include "escalarmulfix.circom"; |
|
||||
|
|
||||
template EdDSAVerifier(n) { |
|
||||
signal input msg[n]; |
|
||||
|
|
||||
signal input A[256]; |
|
||||
signal input R8[256]; |
|
||||
signal input S[256]; |
|
||||
|
|
||||
signal Ax; |
|
||||
signal Ay; |
|
||||
|
|
||||
signal R8x; |
|
||||
signal R8y; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
// Ensure S<Subgroup Order |
|
||||
|
|
||||
component compConstant = CompConstant(2736030358979909402780800718157159386076813972158567259200215660948447373040); |
|
||||
|
|
||||
for (i=0; i<254; i++) { |
|
||||
S[i] ==> compConstant.in[i]; |
|
||||
} |
|
||||
compConstant.out === 0; |
|
||||
S[254] === 0; |
|
||||
S[255] === 0; |
|
||||
|
|
||||
// Convert A to Field elements (And verify A) |
|
||||
|
|
||||
component bits2pointA = Bits2Point_Strict(); |
|
||||
|
|
||||
for (i=0; i<256; i++) { |
|
||||
bits2pointA.in[i] <== A[i]; |
|
||||
} |
|
||||
Ax <== bits2pointA.out[0]; |
|
||||
Ay <== bits2pointA.out[1]; |
|
||||
|
|
||||
// Convert R8 to Field elements (And verify R8) |
|
||||
|
|
||||
component bits2pointR8 = Bits2Point_Strict(); |
|
||||
|
|
||||
for (i=0; i<256; i++) { |
|
||||
bits2pointR8.in[i] <== R8[i]; |
|
||||
} |
|
||||
R8x <== bits2pointR8.out[0]; |
|
||||
R8y <== bits2pointR8.out[1]; |
|
||||
|
|
||||
// Calculate the h = H(R,A, msg) |
|
||||
|
|
||||
component hash = Pedersen(512+n); |
|
||||
|
|
||||
for (i=0; i<256; i++) { |
|
||||
hash.in[i] <== R8[i]; |
|
||||
hash.in[256+i] <== A[i]; |
|
||||
} |
|
||||
for (i=0; i<n; i++) { |
|
||||
hash.in[512+i] <== msg[i]; |
|
||||
} |
|
||||
|
|
||||
component point2bitsH = Point2Bits_Strict(); |
|
||||
point2bitsH.in[0] <== hash.out[0]; |
|
||||
point2bitsH.in[1] <== hash.out[1]; |
|
||||
|
|
||||
// Calculate second part of the right side: right2 = h*8*A |
|
||||
|
|
||||
// Multiply by 8 by adding it 3 times. This also ensure that the result is in |
|
||||
// the subgroup. |
|
||||
component dbl1 = BabyDbl(); |
|
||||
dbl1.x <== Ax; |
|
||||
dbl1.y <== Ay; |
|
||||
component dbl2 = BabyDbl(); |
|
||||
dbl2.x <== dbl1.xout; |
|
||||
dbl2.y <== dbl1.yout; |
|
||||
component dbl3 = BabyDbl(); |
|
||||
dbl3.x <== dbl2.xout; |
|
||||
dbl3.y <== dbl2.yout; |
|
||||
|
|
||||
// We check that A is not zero. |
|
||||
component isZero = IsZero(); |
|
||||
isZero.in <== dbl3.x; |
|
||||
isZero.out === 0; |
|
||||
|
|
||||
component mulAny = EscalarMulAny(256); |
|
||||
for (i=0; i<256; i++) { |
|
||||
mulAny.e[i] <== point2bitsH.out[i]; |
|
||||
} |
|
||||
mulAny.p[0] <== dbl3.xout; |
|
||||
mulAny.p[1] <== dbl3.yout; |
|
||||
|
|
||||
|
|
||||
// Compute the right side: right = R8 + right2 |
|
||||
|
|
||||
component addRight = BabyAdd(); |
|
||||
addRight.x1 <== R8x; |
|
||||
addRight.y1 <== R8y; |
|
||||
addRight.x2 <== mulAny.out[0]; |
|
||||
addRight.y2 <== mulAny.out[1]; |
|
||||
|
|
||||
// Calculate left side of equation left = S*B8 |
|
||||
|
|
||||
var BASE8[2] = [ |
|
||||
5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203 |
|
||||
]; |
|
||||
component mulFix = EscalarMulFix(256, BASE8); |
|
||||
for (i=0; i<256; i++) { |
|
||||
mulFix.e[i] <== S[i]; |
|
||||
} |
|
||||
|
|
||||
// Do the comparation left == right |
|
||||
|
|
||||
mulFix.out[0] === addRight.xout; |
|
||||
mulFix.out[1] === addRight.yout; |
|
||||
} |
|
@ -1,124 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "compconstant.circom"; |
|
||||
include "pointbits.circom"; |
|
||||
include "mimc.circom"; |
|
||||
include "bitify.circom"; |
|
||||
include "escalarmulany.circom"; |
|
||||
include "escalarmulfix.circom"; |
|
||||
|
|
||||
template EdDSAMiMCVerifier() { |
|
||||
signal input enabled; |
|
||||
signal input Ax; |
|
||||
signal input Ay; |
|
||||
|
|
||||
signal input S; |
|
||||
signal input R8x; |
|
||||
signal input R8y; |
|
||||
|
|
||||
signal input M; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
// Ensure S<Subgroup Order |
|
||||
|
|
||||
component snum2bits = Num2Bits(253); |
|
||||
snum2bits.in <== S; |
|
||||
|
|
||||
component compConstant = CompConstant(2736030358979909402780800718157159386076813972158567259200215660948447373040); |
|
||||
|
|
||||
for (i=0; i<253; i++) { |
|
||||
snum2bits.out[i] ==> compConstant.in[i]; |
|
||||
} |
|
||||
compConstant.in[253] <== 0; |
|
||||
compConstant.out === 0; |
|
||||
|
|
||||
// Calculate the h = H(R,A, msg) |
|
||||
|
|
||||
component hash = MultiMiMC7(5, 91); |
|
||||
hash.in[0] <== R8x; |
|
||||
hash.in[1] <== R8y; |
|
||||
hash.in[2] <== Ax; |
|
||||
hash.in[3] <== Ay; |
|
||||
hash.in[4] <== M; |
|
||||
hash.k <== 0; |
|
||||
|
|
||||
component h2bits = Num2Bits_strict(); |
|
||||
h2bits.in <== hash.out; |
|
||||
|
|
||||
// Calculate second part of the right side: right2 = h*8*A |
|
||||
|
|
||||
// Multiply by 8 by adding it 3 times. This also ensure that the result is in |
|
||||
// the subgroup. |
|
||||
component dbl1 = BabyDbl(); |
|
||||
dbl1.x <== Ax; |
|
||||
dbl1.y <== Ay; |
|
||||
component dbl2 = BabyDbl(); |
|
||||
dbl2.x <== dbl1.xout; |
|
||||
dbl2.y <== dbl1.yout; |
|
||||
component dbl3 = BabyDbl(); |
|
||||
dbl3.x <== dbl2.xout; |
|
||||
dbl3.y <== dbl2.yout; |
|
||||
|
|
||||
// We check that A is not zero. |
|
||||
component isZero = IsZero(); |
|
||||
isZero.in <== dbl3.x; |
|
||||
isZero.out === 0; |
|
||||
|
|
||||
component mulAny = EscalarMulAny(254); |
|
||||
for (i=0; i<254; i++) { |
|
||||
mulAny.e[i] <== h2bits.out[i]; |
|
||||
} |
|
||||
mulAny.p[0] <== dbl3.xout; |
|
||||
mulAny.p[1] <== dbl3.yout; |
|
||||
|
|
||||
|
|
||||
// Compute the right side: right = R8 + right2 |
|
||||
|
|
||||
component addRight = BabyAdd(); |
|
||||
addRight.x1 <== R8x; |
|
||||
addRight.y1 <== R8y; |
|
||||
addRight.x2 <== mulAny.out[0]; |
|
||||
addRight.y2 <== mulAny.out[1]; |
|
||||
|
|
||||
// Calculate left side of equation left = S*B8 |
|
||||
|
|
||||
var BASE8[2] = [ |
|
||||
5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203 |
|
||||
]; |
|
||||
component mulFix = EscalarMulFix(253, BASE8); |
|
||||
for (i=0; i<253; i++) { |
|
||||
mulFix.e[i] <== snum2bits.out[i]; |
|
||||
} |
|
||||
|
|
||||
// Do the comparation left == right if enabled; |
|
||||
|
|
||||
component eqCheckX = ForceEqualIfEnabled(); |
|
||||
eqCheckX.enabled <== enabled; |
|
||||
eqCheckX.in[0] <== mulFix.out[0]; |
|
||||
eqCheckX.in[1] <== addRight.xout; |
|
||||
|
|
||||
component eqCheckY = ForceEqualIfEnabled(); |
|
||||
eqCheckY.enabled <== enabled; |
|
||||
eqCheckY.in[0] <== mulFix.out[1]; |
|
||||
eqCheckY.in[1] <== addRight.yout; |
|
||||
} |
|
@ -1,124 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "compconstant.circom"; |
|
||||
include "pointbits.circom"; |
|
||||
include "mimcsponge.circom"; |
|
||||
include "bitify.circom"; |
|
||||
include "escalarmulany.circom"; |
|
||||
include "escalarmulfix.circom"; |
|
||||
|
|
||||
template EdDSAMiMCSpongeVerifier() { |
|
||||
signal input enabled; |
|
||||
signal input Ax; |
|
||||
signal input Ay; |
|
||||
|
|
||||
signal input S; |
|
||||
signal input R8x; |
|
||||
signal input R8y; |
|
||||
|
|
||||
signal input M; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
// Ensure S<Subgroup Order |
|
||||
|
|
||||
component snum2bits = Num2Bits(253); |
|
||||
snum2bits.in <== S; |
|
||||
|
|
||||
component compConstant = CompConstant(2736030358979909402780800718157159386076813972158567259200215660948447373040); |
|
||||
|
|
||||
for (i=0; i<253; i++) { |
|
||||
snum2bits.out[i] ==> compConstant.in[i]; |
|
||||
} |
|
||||
compConstant.in[253] <== 0; |
|
||||
compConstant.out === 0; |
|
||||
|
|
||||
// Calculate the h = H(R,A, msg) |
|
||||
|
|
||||
component hash = MiMCSponge(5, 220, 1); |
|
||||
hash.ins[0] <== R8x; |
|
||||
hash.ins[1] <== R8y; |
|
||||
hash.ins[2] <== Ax; |
|
||||
hash.ins[3] <== Ay; |
|
||||
hash.ins[4] <== M; |
|
||||
hash.k <== 0; |
|
||||
|
|
||||
component h2bits = Num2Bits_strict(); |
|
||||
h2bits.in <== hash.outs[0]; |
|
||||
|
|
||||
// Calculate second part of the right side: right2 = h*8*A |
|
||||
|
|
||||
// Multiply by 8 by adding it 3 times. This also ensure that the result is in |
|
||||
// the subgroup. |
|
||||
component dbl1 = BabyDbl(); |
|
||||
dbl1.x <== Ax; |
|
||||
dbl1.y <== Ay; |
|
||||
component dbl2 = BabyDbl(); |
|
||||
dbl2.x <== dbl1.xout; |
|
||||
dbl2.y <== dbl1.yout; |
|
||||
component dbl3 = BabyDbl(); |
|
||||
dbl3.x <== dbl2.xout; |
|
||||
dbl3.y <== dbl2.yout; |
|
||||
|
|
||||
// We check that A is not zero. |
|
||||
component isZero = IsZero(); |
|
||||
isZero.in <== dbl3.x; |
|
||||
isZero.out === 0; |
|
||||
|
|
||||
component mulAny = EscalarMulAny(254); |
|
||||
for (i=0; i<254; i++) { |
|
||||
mulAny.e[i] <== h2bits.out[i]; |
|
||||
} |
|
||||
mulAny.p[0] <== dbl3.xout; |
|
||||
mulAny.p[1] <== dbl3.yout; |
|
||||
|
|
||||
|
|
||||
// Compute the right side: right = R8 + right2 |
|
||||
|
|
||||
component addRight = BabyAdd(); |
|
||||
addRight.x1 <== R8x; |
|
||||
addRight.y1 <== R8y; |
|
||||
addRight.x2 <== mulAny.out[0]; |
|
||||
addRight.y2 <== mulAny.out[1]; |
|
||||
|
|
||||
// Calculate left side of equation left = S*B8 |
|
||||
|
|
||||
var BASE8[2] = [ |
|
||||
5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203 |
|
||||
]; |
|
||||
component mulFix = EscalarMulFix(253, BASE8); |
|
||||
for (i=0; i<253; i++) { |
|
||||
mulFix.e[i] <== snum2bits.out[i]; |
|
||||
} |
|
||||
|
|
||||
// Do the comparation left == right if enabled; |
|
||||
|
|
||||
component eqCheckX = ForceEqualIfEnabled(); |
|
||||
eqCheckX.enabled <== enabled; |
|
||||
eqCheckX.in[0] <== mulFix.out[0]; |
|
||||
eqCheckX.in[1] <== addRight.xout; |
|
||||
|
|
||||
component eqCheckY = ForceEqualIfEnabled(); |
|
||||
eqCheckY.enabled <== enabled; |
|
||||
eqCheckY.in[0] <== mulFix.out[1]; |
|
||||
eqCheckY.in[1] <== addRight.yout; |
|
||||
} |
|
@ -1,123 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "compconstant.circom"; |
|
||||
include "poseidon.circom"; |
|
||||
include "bitify.circom"; |
|
||||
include "escalarmulany.circom"; |
|
||||
include "escalarmulfix.circom"; |
|
||||
|
|
||||
template EdDSAPoseidonVerifier() { |
|
||||
signal input enabled; |
|
||||
signal input Ax; |
|
||||
signal input Ay; |
|
||||
|
|
||||
signal input S; |
|
||||
signal input R8x; |
|
||||
signal input R8y; |
|
||||
|
|
||||
signal input M; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
// Ensure S<Subgroup Order |
|
||||
|
|
||||
component snum2bits = Num2Bits(253); |
|
||||
snum2bits.in <== S; |
|
||||
|
|
||||
component compConstant = CompConstant(2736030358979909402780800718157159386076813972158567259200215660948447373040); |
|
||||
|
|
||||
for (i=0; i<253; i++) { |
|
||||
snum2bits.out[i] ==> compConstant.in[i]; |
|
||||
} |
|
||||
compConstant.in[253] <== 0; |
|
||||
compConstant.out*enabled === 0; |
|
||||
|
|
||||
// Calculate the h = H(R,A, msg) |
|
||||
|
|
||||
component hash = Poseidon(5); |
|
||||
|
|
||||
hash.inputs[0] <== R8x; |
|
||||
hash.inputs[1] <== R8y; |
|
||||
hash.inputs[2] <== Ax; |
|
||||
hash.inputs[3] <== Ay; |
|
||||
hash.inputs[4] <== M; |
|
||||
|
|
||||
component h2bits = Num2Bits_strict(); |
|
||||
h2bits.in <== hash.out; |
|
||||
|
|
||||
// Calculate second part of the right side: right2 = h*8*A |
|
||||
|
|
||||
// Multiply by 8 by adding it 3 times. This also ensure that the result is in |
|
||||
// the subgroup. |
|
||||
component dbl1 = BabyDbl(); |
|
||||
dbl1.x <== Ax; |
|
||||
dbl1.y <== Ay; |
|
||||
component dbl2 = BabyDbl(); |
|
||||
dbl2.x <== dbl1.xout; |
|
||||
dbl2.y <== dbl1.yout; |
|
||||
component dbl3 = BabyDbl(); |
|
||||
dbl3.x <== dbl2.xout; |
|
||||
dbl3.y <== dbl2.yout; |
|
||||
|
|
||||
// We check that A is not zero. |
|
||||
component isZero = IsZero(); |
|
||||
isZero.in <== dbl3.x; |
|
||||
isZero.out*enabled === 0; |
|
||||
|
|
||||
component mulAny = EscalarMulAny(254); |
|
||||
for (i=0; i<254; i++) { |
|
||||
mulAny.e[i] <== h2bits.out[i]; |
|
||||
} |
|
||||
mulAny.p[0] <== dbl3.xout; |
|
||||
mulAny.p[1] <== dbl3.yout; |
|
||||
|
|
||||
|
|
||||
// Compute the right side: right = R8 + right2 |
|
||||
|
|
||||
component addRight = BabyAdd(); |
|
||||
addRight.x1 <== R8x; |
|
||||
addRight.y1 <== R8y; |
|
||||
addRight.x2 <== mulAny.out[0]; |
|
||||
addRight.y2 <== mulAny.out[1]; |
|
||||
|
|
||||
// Calculate left side of equation left = S*B8 |
|
||||
|
|
||||
var BASE8[2] = [ |
|
||||
5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203 |
|
||||
]; |
|
||||
component mulFix = EscalarMulFix(253, BASE8); |
|
||||
for (i=0; i<253; i++) { |
|
||||
mulFix.e[i] <== snum2bits.out[i]; |
|
||||
} |
|
||||
|
|
||||
// Do the comparation left == right if enabled; |
|
||||
|
|
||||
component eqCheckX = ForceEqualIfEnabled(); |
|
||||
eqCheckX.enabled <== enabled; |
|
||||
eqCheckX.in[0] <== mulFix.out[0]; |
|
||||
eqCheckX.in[1] <== addRight.xout; |
|
||||
|
|
||||
component eqCheckY = ForceEqualIfEnabled(); |
|
||||
eqCheckY.enabled <== enabled; |
|
||||
eqCheckY.in[0] <== mulFix.out[1]; |
|
||||
eqCheckY.in[1] <== addRight.yout; |
|
||||
} |
|
@ -1,166 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
|
|
||||
┏━━━━━━━━━━━┓ |
|
||||
┃ ┃ |
|
||||
┃ ┃ |
|
||||
(inx, iny) ══════════════════════════════════════════▶┃ EC Point ┃ |
|
||||
┃ ╠═▶ (outx, outy) |
|
||||
╔══▶┃ Adder ┃ |
|
||||
║ ┃ ┃ |
|
||||
║ ┃ ┃ |
|
||||
║ ┃ ┃ |
|
||||
┏━━━━━━━━━━━┓ ┏━━━━━━━━━━━━┓ ║ ┗━━━━━━━━━━━┛ |
|
||||
┃ ┃ ┃ ┃ ║ |
|
||||
┃ ┃ ┃ ┃ ║ |
|
||||
┃ ╠═══(p0x,p0y)═══▶┃ ┃ ║ |
|
||||
┃ ╠═══(p1x,p1y)═══▶┃ ┃ ║ |
|
||||
┃ ╠═══(p2x,p2y)═══▶┃ ┃ ║ |
|
||||
┃ ╠═══(p3x,p3y)═══▶┃ ┃ ║ |
|
||||
┃ ╠═══(p4x,p4y)═══▶┃ ┃ ║ |
|
||||
┃ ╠═══(p5x,p5y)═══▶┃ ┃ ║ |
|
||||
┃ ╠═══(p6x,p6y)═══▶┃ ┃ ║ |
|
||||
┃ Constant ╠═══(p7x,p7y)═══▶┃ ┃ ║ |
|
||||
┃ Points ┃ ┃ Mux4 ╠══╝ |
|
||||
┃ ╠═══(p8x,p8y)═══▶┃ ┃ |
|
||||
┃ ╠═══(p9x,p9y)═══▶┃ ┃ |
|
||||
┃ ╠══(p10x,p10y)══▶┃ ┃ |
|
||||
┃ ╠══(p11x,p11y)══▶┃ ┃ |
|
||||
┃ ╠══(p12x,p12y)══▶┃ ┃ |
|
||||
┃ ╠══(p13x,p13y)══▶┃ ┃ |
|
||||
┃ ╠══(p14x,p14y)══▶┃ ┃ |
|
||||
┃ ╠══(p15x,p15y)══▶┃ ┃ |
|
||||
┃ ┃ ┃ ┃ |
|
||||
┃ ┃ ┃ ┃ |
|
||||
┗━━━━━━━━━━━┛ ┗━━━━━━━━━━━━┛ |
|
||||
▲ ▲ ▲ ▲ |
|
||||
│ │ │ │ |
|
||||
s0 ─────────────────────────────────┘ │ │ │ |
|
||||
s1 ────────────────────────────────────┘ │ │ |
|
||||
s2 ───────────────────────────────────────┘ │ |
|
||||
s3 ──────────────────────────────────────────┘ |
|
||||
|
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "mux4.circom"; |
|
||||
include "escalarmulw4table.circom"; |
|
||||
include "babyjub.circom"; |
|
||||
|
|
||||
template EscalarMulWindow(base, k) { |
|
||||
|
|
||||
signal input in[2]; |
|
||||
signal input sel[4]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var table[16][2]; |
|
||||
component mux; |
|
||||
component adder; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
table = EscalarMulW4Table(base, k); |
|
||||
mux = MultiMux4(2); |
|
||||
adder = BabyAdd(); |
|
||||
|
|
||||
for (i=0; i<4; i++) { |
|
||||
sel[i] ==> mux.s[i]; |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<16; i++) { |
|
||||
mux.c[0][i] <== table[i][0]; |
|
||||
mux.c[1][i] <== table[i][1]; |
|
||||
} |
|
||||
|
|
||||
in[0] ==> adder.x1; |
|
||||
in[1] ==> adder.y1; |
|
||||
|
|
||||
mux.out[0] ==> adder.x2; |
|
||||
mux.out[1] ==> adder.y2; |
|
||||
|
|
||||
adder.xout ==> out[0]; |
|
||||
adder.yout ==> out[1]; |
|
||||
} |
|
||||
|
|
||||
/* |
|
||||
|
|
||||
|
|
||||
┏━━━━━━━━━┓ ┏━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━━━━━┓ |
|
||||
┃ ┃ ┃ ┃ ┃ ┃ |
|
||||
inp ════▶┃Window(0)┃═════▶┃Window(1)┃════════ . . . . ═════════▶┃ Window(nBlocks-1) ┃═════▶ out |
|
||||
┃ ┃ ┃ ┃ ┃ ┃ |
|
||||
┗━━━━━━━━━┛ ┗━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━━━━━┛ |
|
||||
▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ ▲ |
|
||||
in[0]─────────┘ │ │ │ │ │ │ │ │ │ │ │ |
|
||||
in[1]───────────┘ │ │ │ │ │ │ │ │ │ │ |
|
||||
in[2]─────────────┘ │ │ │ │ │ │ │ 0 0 |
|
||||
in[3]───────────────┘ │ │ │ │ │ │ |
|
||||
in[4]──────────────────────────┘ │ │ │ │ │ |
|
||||
in[5]────────────────────────────┘ │ │ │ │ |
|
||||
in[6]──────────────────────────────┘ │ │ │ |
|
||||
in[7]────────────────────────────────┘ │ │ |
|
||||
. │ │ |
|
||||
. │ │ |
|
||||
in[n-2]─────────────────────────────────────────────────────────────────────┘ │ |
|
||||
in[n-1]───────────────────────────────────────────────────────────────────────┘ |
|
||||
|
|
||||
*/ |
|
||||
|
|
||||
template EscalarMul(n, base) { |
|
||||
signal input in[n]; |
|
||||
signal input inp[2]; // Point input to be added |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var nBlocks = ((n-1)>>2)+1; |
|
||||
var i; |
|
||||
var j; |
|
||||
|
|
||||
component windows[nBlocks]; |
|
||||
|
|
||||
// Construct the windows |
|
||||
for (i=0; i<nBlocks; i++) { |
|
||||
windows[i] = EscalarMulWindow(base, i); |
|
||||
} |
|
||||
|
|
||||
// Connect the selectors |
|
||||
for (i=0; i<nBlocks; i++) { |
|
||||
for (j=0; j<4; j++) { |
|
||||
if (i*4+j >= n) { |
|
||||
windows[i].sel[j] <== 0; |
|
||||
} else { |
|
||||
windows[i].sel[j] <== in[i*4+j]; |
|
||||
} |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
// Start with generator |
|
||||
windows[0].in[0] <== inp[0]; |
|
||||
windows[0].in[1] <== inp[1]; |
|
||||
|
|
||||
for(i=0; i<nBlocks-1; i++) { |
|
||||
windows[i].out[0] ==> windows[i+1].in[0]; |
|
||||
windows[i].out[1] ==> windows[i+1].in[1]; |
|
||||
} |
|
||||
|
|
||||
windows[nBlocks-1].out[0] ==> out[0]; |
|
||||
windows[nBlocks-1].out[1] ==> out[1]; |
|
||||
} |
|
@ -1,197 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "montgomery.circom"; |
|
||||
include "babyjub.circom"; |
|
||||
include "comparators.circom"; |
|
||||
|
|
||||
template Multiplexor2() { |
|
||||
signal input sel; |
|
||||
signal input in[2][2]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
out[0] <== (in[1][0] - in[0][0])*sel + in[0][0]; |
|
||||
out[1] <== (in[1][1] - in[0][1])*sel + in[0][1]; |
|
||||
} |
|
||||
|
|
||||
template BitElementMulAny() { |
|
||||
signal input sel; |
|
||||
signal input dblIn[2]; |
|
||||
signal input addIn[2]; |
|
||||
signal output dblOut[2]; |
|
||||
signal output addOut[2]; |
|
||||
|
|
||||
component doubler = MontgomeryDouble(); |
|
||||
component adder = MontgomeryAdd(); |
|
||||
component selector = Multiplexor2(); |
|
||||
|
|
||||
|
|
||||
sel ==> selector.sel; |
|
||||
|
|
||||
dblIn[0] ==> doubler.in[0]; |
|
||||
dblIn[1] ==> doubler.in[1]; |
|
||||
doubler.out[0] ==> adder.in1[0]; |
|
||||
doubler.out[1] ==> adder.in1[1]; |
|
||||
addIn[0] ==> adder.in2[0]; |
|
||||
addIn[1] ==> adder.in2[1]; |
|
||||
addIn[0] ==> selector.in[0][0]; |
|
||||
addIn[1] ==> selector.in[0][1]; |
|
||||
adder.out[0] ==> selector.in[1][0]; |
|
||||
adder.out[1] ==> selector.in[1][1]; |
|
||||
|
|
||||
doubler.out[0] ==> dblOut[0]; |
|
||||
doubler.out[1] ==> dblOut[1]; |
|
||||
selector.out[0] ==> addOut[0]; |
|
||||
selector.out[1] ==> addOut[1]; |
|
||||
} |
|
||||
|
|
||||
// p is montgomery point |
|
||||
// n must be <= 248 |
|
||||
// returns out in twisted edwards |
|
||||
// Double is in montgomery to be linked; |
|
||||
|
|
||||
template SegmentMulAny(n) { |
|
||||
signal input e[n]; |
|
||||
signal input p[2]; |
|
||||
signal output out[2]; |
|
||||
signal output dbl[2]; |
|
||||
|
|
||||
component bits[n-1]; |
|
||||
|
|
||||
component e2m = Edwards2Montgomery(); |
|
||||
|
|
||||
p[0] ==> e2m.in[0]; |
|
||||
p[1] ==> e2m.in[1]; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
bits[0] = BitElementMulAny(); |
|
||||
e2m.out[0] ==> bits[0].dblIn[0]; |
|
||||
e2m.out[1] ==> bits[0].dblIn[1]; |
|
||||
e2m.out[0] ==> bits[0].addIn[0]; |
|
||||
e2m.out[1] ==> bits[0].addIn[1]; |
|
||||
e[1] ==> bits[0].sel; |
|
||||
|
|
||||
for (i=1; i<n-1; i++) { |
|
||||
bits[i] = BitElementMulAny(); |
|
||||
|
|
||||
bits[i-1].dblOut[0] ==> bits[i].dblIn[0]; |
|
||||
bits[i-1].dblOut[1] ==> bits[i].dblIn[1]; |
|
||||
bits[i-1].addOut[0] ==> bits[i].addIn[0]; |
|
||||
bits[i-1].addOut[1] ==> bits[i].addIn[1]; |
|
||||
e[i+1] ==> bits[i].sel; |
|
||||
} |
|
||||
|
|
||||
bits[n-2].dblOut[0] ==> dbl[0]; |
|
||||
bits[n-2].dblOut[1] ==> dbl[1]; |
|
||||
|
|
||||
component m2e = Montgomery2Edwards(); |
|
||||
|
|
||||
bits[n-2].addOut[0] ==> m2e.in[0]; |
|
||||
bits[n-2].addOut[1] ==> m2e.in[1]; |
|
||||
|
|
||||
component eadder = BabyAdd(); |
|
||||
|
|
||||
m2e.out[0] ==> eadder.x1; |
|
||||
m2e.out[1] ==> eadder.y1; |
|
||||
-p[0] ==> eadder.x2; |
|
||||
p[1] ==> eadder.y2; |
|
||||
|
|
||||
component lastSel = Multiplexor2(); |
|
||||
|
|
||||
e[0] ==> lastSel.sel; |
|
||||
eadder.xout ==> lastSel.in[0][0]; |
|
||||
eadder.yout ==> lastSel.in[0][1]; |
|
||||
m2e.out[0] ==> lastSel.in[1][0]; |
|
||||
m2e.out[1] ==> lastSel.in[1][1]; |
|
||||
|
|
||||
lastSel.out[0] ==> out[0]; |
|
||||
lastSel.out[1] ==> out[1]; |
|
||||
} |
|
||||
|
|
||||
// This function assumes that p is in the subgroup and it is different to 0 |
|
||||
|
|
||||
template EscalarMulAny(n) { |
|
||||
signal input e[n]; // Input in binary format |
|
||||
signal input p[2]; // Point (Twisted format) |
|
||||
signal output out[2]; // Point (Twisted format) |
|
||||
|
|
||||
var nsegments = (n-1)\148 +1; |
|
||||
var nlastsegment = n - (nsegments-1)*148; |
|
||||
|
|
||||
component segments[nsegments]; |
|
||||
component doublers[nsegments-1]; |
|
||||
component m2e[nsegments-1]; |
|
||||
component adders[nsegments-1]; |
|
||||
component zeropoint = IsZero(); |
|
||||
zeropoint.in <== p[0]; |
|
||||
|
|
||||
var s; |
|
||||
var i; |
|
||||
var nseg; |
|
||||
|
|
||||
for (s=0; s<nsegments; s++) { |
|
||||
|
|
||||
nseg = (s < nsegments-1) ? 148 : nlastsegment; |
|
||||
|
|
||||
segments[s] = SegmentMulAny(nseg); |
|
||||
|
|
||||
for (i=0; i<nseg; i++) { |
|
||||
e[s*148+i] ==> segments[s].e[i]; |
|
||||
} |
|
||||
|
|
||||
if (s==0) { |
|
||||
// force G8 point if input point is zero |
|
||||
segments[s].p[0] <== p[0] + (5299619240641551281634865583518297030282874472190772894086521144482721001553 - p[0])*zeropoint.out; |
|
||||
segments[s].p[1] <== p[1] + (16950150798460657717958625567821834550301663161624707787222815936182638968203 - p[1])*zeropoint.out; |
|
||||
} else { |
|
||||
doublers[s-1] = MontgomeryDouble(); |
|
||||
m2e[s-1] = Montgomery2Edwards(); |
|
||||
adders[s-1] = BabyAdd(); |
|
||||
|
|
||||
segments[s-1].dbl[0] ==> doublers[s-1].in[0]; |
|
||||
segments[s-1].dbl[1] ==> doublers[s-1].in[1]; |
|
||||
|
|
||||
doublers[s-1].out[0] ==> m2e[s-1].in[0]; |
|
||||
doublers[s-1].out[1] ==> m2e[s-1].in[1]; |
|
||||
|
|
||||
m2e[s-1].out[0] ==> segments[s].p[0]; |
|
||||
m2e[s-1].out[1] ==> segments[s].p[1]; |
|
||||
|
|
||||
if (s==1) { |
|
||||
segments[s-1].out[0] ==> adders[s-1].x1; |
|
||||
segments[s-1].out[1] ==> adders[s-1].y1; |
|
||||
} else { |
|
||||
adders[s-2].xout ==> adders[s-1].x1; |
|
||||
adders[s-2].yout ==> adders[s-1].y1; |
|
||||
} |
|
||||
segments[s].out[0] ==> adders[s-1].x2; |
|
||||
segments[s].out[1] ==> adders[s-1].y2; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
if (nsegments == 1) { |
|
||||
segments[0].out[0]*(1-zeropoint.out) ==> out[0]; |
|
||||
segments[0].out[1]+(1-segments[0].out[1])*zeropoint.out ==> out[1]; |
|
||||
} else { |
|
||||
adders[nsegments-2].xout*(1-zeropoint.out) ==> out[0]; |
|
||||
adders[nsegments-2].yout+(1-adders[nsegments-2].yout)*zeropoint.out ==> out[1]; |
|
||||
} |
|
||||
} |
|
@ -1,299 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "mux3.circom"; |
|
||||
include "montgomery.circom"; |
|
||||
include "babyjub.circom"; |
|
||||
|
|
||||
/* |
|
||||
Window of 3 elements, it calculates |
|
||||
out = base + base*in[0] + 2*base*in[1] + 4*base*in[2] |
|
||||
out4 = 4*base |
|
||||
|
|
||||
The result should be compensated. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
|
|
||||
The scalar is s = a0 + a1*2^3 + a2*2^6 + ...... + a81*2^243 |
|
||||
First We calculate Q = B + 2^3*B + 2^6*B + ......... + 2^246*B |
|
||||
|
|
||||
Then we calculate S1 = 2*2^246*B + (1 + a0)*B + (2^3 + a1)*B + .....+ (2^243 + a81)*B |
|
||||
|
|
||||
And Finaly we compute the result: RES = SQ - Q |
|
||||
|
|
||||
As you can see the input of the adders cannot be equal nor zero, except for the last |
|
||||
substraction that it's done in montgomery. |
|
||||
|
|
||||
A good way to see it is that the accumulator input of the adder >= 2^247*B and the other input |
|
||||
is the output of the windows that it's going to be <= 2^246*B |
|
||||
*/ |
|
||||
template WindowMulFix() { |
|
||||
signal input in[3]; |
|
||||
signal input base[2]; |
|
||||
signal output out[2]; |
|
||||
signal output out8[2]; // Returns 8*Base (To be linked) |
|
||||
|
|
||||
component mux = MultiMux3(2); |
|
||||
|
|
||||
mux.s[0] <== in[0]; |
|
||||
mux.s[1] <== in[1]; |
|
||||
mux.s[2] <== in[2]; |
|
||||
|
|
||||
component dbl2 = MontgomeryDouble(); |
|
||||
component adr3 = MontgomeryAdd(); |
|
||||
component adr4 = MontgomeryAdd(); |
|
||||
component adr5 = MontgomeryAdd(); |
|
||||
component adr6 = MontgomeryAdd(); |
|
||||
component adr7 = MontgomeryAdd(); |
|
||||
component adr8 = MontgomeryAdd(); |
|
||||
|
|
||||
// in[0] -> 1*BASE |
|
||||
|
|
||||
mux.c[0][0] <== base[0]; |
|
||||
mux.c[1][0] <== base[1]; |
|
||||
|
|
||||
// in[1] -> 2*BASE |
|
||||
dbl2.in[0] <== base[0]; |
|
||||
dbl2.in[1] <== base[1]; |
|
||||
mux.c[0][1] <== dbl2.out[0]; |
|
||||
mux.c[1][1] <== dbl2.out[1]; |
|
||||
|
|
||||
// in[2] -> 3*BASE |
|
||||
adr3.in1[0] <== base[0]; |
|
||||
adr3.in1[1] <== base[1]; |
|
||||
adr3.in2[0] <== dbl2.out[0]; |
|
||||
adr3.in2[1] <== dbl2.out[1]; |
|
||||
mux.c[0][2] <== adr3.out[0]; |
|
||||
mux.c[1][2] <== adr3.out[1]; |
|
||||
|
|
||||
// in[3] -> 4*BASE |
|
||||
adr4.in1[0] <== base[0]; |
|
||||
adr4.in1[1] <== base[1]; |
|
||||
adr4.in2[0] <== adr3.out[0]; |
|
||||
adr4.in2[1] <== adr3.out[1]; |
|
||||
mux.c[0][3] <== adr4.out[0]; |
|
||||
mux.c[1][3] <== adr4.out[1]; |
|
||||
|
|
||||
// in[4] -> 5*BASE |
|
||||
adr5.in1[0] <== base[0]; |
|
||||
adr5.in1[1] <== base[1]; |
|
||||
adr5.in2[0] <== adr4.out[0]; |
|
||||
adr5.in2[1] <== adr4.out[1]; |
|
||||
mux.c[0][4] <== adr5.out[0]; |
|
||||
mux.c[1][4] <== adr5.out[1]; |
|
||||
|
|
||||
// in[5] -> 6*BASE |
|
||||
adr6.in1[0] <== base[0]; |
|
||||
adr6.in1[1] <== base[1]; |
|
||||
adr6.in2[0] <== adr5.out[0]; |
|
||||
adr6.in2[1] <== adr5.out[1]; |
|
||||
mux.c[0][5] <== adr6.out[0]; |
|
||||
mux.c[1][5] <== adr6.out[1]; |
|
||||
|
|
||||
// in[6] -> 7*BASE |
|
||||
adr7.in1[0] <== base[0]; |
|
||||
adr7.in1[1] <== base[1]; |
|
||||
adr7.in2[0] <== adr6.out[0]; |
|
||||
adr7.in2[1] <== adr6.out[1]; |
|
||||
mux.c[0][6] <== adr7.out[0]; |
|
||||
mux.c[1][6] <== adr7.out[1]; |
|
||||
|
|
||||
// in[7] -> 8*BASE |
|
||||
adr8.in1[0] <== base[0]; |
|
||||
adr8.in1[1] <== base[1]; |
|
||||
adr8.in2[0] <== adr7.out[0]; |
|
||||
adr8.in2[1] <== adr7.out[1]; |
|
||||
mux.c[0][7] <== adr8.out[0]; |
|
||||
mux.c[1][7] <== adr8.out[1]; |
|
||||
|
|
||||
out8[0] <== adr8.out[0]; |
|
||||
out8[1] <== adr8.out[1]; |
|
||||
|
|
||||
out[0] <== mux.out[0]; |
|
||||
out[1] <== mux.out[1]; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
/* |
|
||||
This component does a multiplication of a escalar times a fix base |
|
||||
Signals: |
|
||||
e: The scalar in bits |
|
||||
base: the base point in edwards format |
|
||||
out: The result |
|
||||
dbl: Point in Edwards to be linked to the next segment. |
|
||||
*/ |
|
||||
|
|
||||
template SegmentMulFix(nWindows) { |
|
||||
signal input e[nWindows*3]; |
|
||||
signal input base[2]; |
|
||||
signal output out[2]; |
|
||||
signal output dbl[2]; |
|
||||
|
|
||||
var i; |
|
||||
var j; |
|
||||
|
|
||||
// Convert the base to montgomery |
|
||||
|
|
||||
component e2m = Edwards2Montgomery(); |
|
||||
e2m.in[0] <== base[0]; |
|
||||
e2m.in[1] <== base[1]; |
|
||||
|
|
||||
component windows[nWindows]; |
|
||||
component adders[nWindows]; |
|
||||
component cadders[nWindows]; |
|
||||
|
|
||||
// In the last step we add an extra doubler so that numbers do not match. |
|
||||
component dblLast = MontgomeryDouble(); |
|
||||
|
|
||||
for (i=0; i<nWindows; i++) { |
|
||||
windows[i] = WindowMulFix(); |
|
||||
cadders[i] = MontgomeryAdd(); |
|
||||
if (i==0) { |
|
||||
windows[i].base[0] <== e2m.out[0]; |
|
||||
windows[i].base[1] <== e2m.out[1]; |
|
||||
cadders[i].in1[0] <== e2m.out[0]; |
|
||||
cadders[i].in1[1] <== e2m.out[1]; |
|
||||
} else { |
|
||||
windows[i].base[0] <== windows[i-1].out8[0]; |
|
||||
windows[i].base[1] <== windows[i-1].out8[1]; |
|
||||
cadders[i].in1[0] <== cadders[i-1].out[0]; |
|
||||
cadders[i].in1[1] <== cadders[i-1].out[1]; |
|
||||
} |
|
||||
for (j=0; j<3; j++) { |
|
||||
windows[i].in[j] <== e[3*i+j]; |
|
||||
} |
|
||||
if (i<nWindows-1) { |
|
||||
cadders[i].in2[0] <== windows[i].out8[0]; |
|
||||
cadders[i].in2[1] <== windows[i].out8[1]; |
|
||||
} else { |
|
||||
dblLast.in[0] <== windows[i].out8[0]; |
|
||||
dblLast.in[1] <== windows[i].out8[1]; |
|
||||
cadders[i].in2[0] <== dblLast.out[0]; |
|
||||
cadders[i].in2[1] <== dblLast.out[1]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<nWindows; i++) { |
|
||||
adders[i] = MontgomeryAdd(); |
|
||||
if (i==0) { |
|
||||
adders[i].in1[0] <== dblLast.out[0]; |
|
||||
adders[i].in1[1] <== dblLast.out[1]; |
|
||||
} else { |
|
||||
adders[i].in1[0] <== adders[i-1].out[0]; |
|
||||
adders[i].in1[1] <== adders[i-1].out[1]; |
|
||||
} |
|
||||
adders[i].in2[0] <== windows[i].out[0]; |
|
||||
adders[i].in2[1] <== windows[i].out[1]; |
|
||||
} |
|
||||
|
|
||||
component m2e = Montgomery2Edwards(); |
|
||||
component cm2e = Montgomery2Edwards(); |
|
||||
|
|
||||
m2e.in[0] <== adders[nWindows-1].out[0]; |
|
||||
m2e.in[1] <== adders[nWindows-1].out[1]; |
|
||||
cm2e.in[0] <== cadders[nWindows-1].out[0]; |
|
||||
cm2e.in[1] <== cadders[nWindows-1].out[1]; |
|
||||
|
|
||||
component cAdd = BabyAdd(); |
|
||||
cAdd.x1 <== m2e.out[0]; |
|
||||
cAdd.y1 <== m2e.out[1]; |
|
||||
cAdd.x2 <== -cm2e.out[0]; |
|
||||
cAdd.y2 <== cm2e.out[1]; |
|
||||
|
|
||||
cAdd.xout ==> out[0]; |
|
||||
cAdd.yout ==> out[1]; |
|
||||
|
|
||||
windows[nWindows-1].out8[0] ==> dbl[0]; |
|
||||
windows[nWindows-1].out8[1] ==> dbl[1]; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
/* |
|
||||
This component multiplies a escalar times a fixed point BASE (twisted edwards format) |
|
||||
Signals |
|
||||
e: The escalar in binary format |
|
||||
out: The output point in twisted edwards |
|
||||
*/ |
|
||||
template EscalarMulFix(n, BASE) { |
|
||||
signal input e[n]; // Input in binary format |
|
||||
signal output out[2]; // Point (Twisted format) |
|
||||
|
|
||||
var nsegments = (n-1)\246 +1; // 249 probably would work. But I'm not sure and for security I keep 246 |
|
||||
var nlastsegment = n - (nsegments-1)*249; |
|
||||
|
|
||||
component segments[nsegments]; |
|
||||
|
|
||||
component m2e[nsegments-1]; |
|
||||
component adders[nsegments-1]; |
|
||||
|
|
||||
var s; |
|
||||
var i; |
|
||||
var nseg; |
|
||||
var nWindows; |
|
||||
|
|
||||
for (s=0; s<nsegments; s++) { |
|
||||
|
|
||||
nseg = (s < nsegments-1) ? 249 : nlastsegment; |
|
||||
nWindows = ((nseg - 1)\3)+1; |
|
||||
|
|
||||
segments[s] = SegmentMulFix(nWindows); |
|
||||
|
|
||||
for (i=0; i<nseg; i++) { |
|
||||
segments[s].e[i] <== e[s*249+i]; |
|
||||
} |
|
||||
|
|
||||
for (i = nseg; i<nWindows*3; i++) { |
|
||||
segments[s].e[i] <== 0; |
|
||||
} |
|
||||
|
|
||||
if (s==0) { |
|
||||
segments[s].base[0] <== BASE[0]; |
|
||||
segments[s].base[1] <== BASE[1]; |
|
||||
} else { |
|
||||
m2e[s-1] = Montgomery2Edwards(); |
|
||||
adders[s-1] = BabyAdd(); |
|
||||
|
|
||||
segments[s-1].dbl[0] ==> m2e[s-1].in[0]; |
|
||||
segments[s-1].dbl[1] ==> m2e[s-1].in[1]; |
|
||||
|
|
||||
m2e[s-1].out[0] ==> segments[s].base[0]; |
|
||||
m2e[s-1].out[1] ==> segments[s].base[1]; |
|
||||
|
|
||||
if (s==1) { |
|
||||
segments[s-1].out[0] ==> adders[s-1].x1; |
|
||||
segments[s-1].out[1] ==> adders[s-1].y1; |
|
||||
} else { |
|
||||
adders[s-2].xout ==> adders[s-1].x1; |
|
||||
adders[s-2].yout ==> adders[s-1].y1; |
|
||||
} |
|
||||
segments[s].out[0] ==> adders[s-1].x2; |
|
||||
segments[s].out[1] ==> adders[s-1].y2; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
if (nsegments == 1) { |
|
||||
segments[0].out[0] ==> out[0]; |
|
||||
segments[0].out[1] ==> out[1]; |
|
||||
} else { |
|
||||
adders[nsegments-2].xout ==> out[0]; |
|
||||
adders[nsegments-2].yout ==> out[1]; |
|
||||
} |
|
||||
} |
|
@ -1,52 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
function pointAdd(x1,y1,x2,y2) { |
|
||||
var a = 168700; |
|
||||
var d = 168696; |
|
||||
|
|
||||
var res[2]; |
|
||||
res[0] = (x1*y2 + y1*x2) / (1 + d*x1*x2*y1*y2); |
|
||||
res[1] = (y1*y2 - a*x1*x2) / (1 - d*x1*x2*y1*y2); |
|
||||
return res; |
|
||||
} |
|
||||
|
|
||||
function EscalarMulW4Table(base, k) { |
|
||||
var out[16][2]; |
|
||||
|
|
||||
var i; |
|
||||
var p[2]; |
|
||||
|
|
||||
var dbl[2] = base; |
|
||||
|
|
||||
for (i=0; i<k*4; i++) { |
|
||||
dbl = pointAdd(dbl[0], dbl[1], dbl[0], dbl[1]); |
|
||||
} |
|
||||
|
|
||||
out[0][0] = 0; |
|
||||
out[0][1] = 1; |
|
||||
for (i=1; i<16; i++) { |
|
||||
p = pointAdd(out[i-1][0], out[i-1][1], dbl[0], dbl[1]); |
|
||||
out[i][0] = p[0]; |
|
||||
out[i][1] = p[1]; |
|
||||
} |
|
||||
|
|
||||
return out; |
|
||||
} |
|
@ -1,96 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template XOR() { |
|
||||
signal input a; |
|
||||
signal input b; |
|
||||
signal output out; |
|
||||
|
|
||||
out <== a + b - 2*a*b; |
|
||||
} |
|
||||
|
|
||||
template AND() { |
|
||||
signal input a; |
|
||||
signal input b; |
|
||||
signal output out; |
|
||||
|
|
||||
out <== a*b; |
|
||||
} |
|
||||
|
|
||||
template OR() { |
|
||||
signal input a; |
|
||||
signal input b; |
|
||||
signal output out; |
|
||||
|
|
||||
out <== a + b - a*b; |
|
||||
} |
|
||||
|
|
||||
template NOT() { |
|
||||
signal input in; |
|
||||
signal output out; |
|
||||
|
|
||||
out <== 1 + in - 2*in; |
|
||||
} |
|
||||
|
|
||||
template NAND() { |
|
||||
signal input a; |
|
||||
signal input b; |
|
||||
signal output out; |
|
||||
|
|
||||
out <== 1 - a*b; |
|
||||
} |
|
||||
|
|
||||
template NOR() { |
|
||||
signal input a; |
|
||||
signal input b; |
|
||||
signal output out; |
|
||||
|
|
||||
out <== a*b + 1 - a - b; |
|
||||
} |
|
||||
|
|
||||
template MultiAND(n) { |
|
||||
signal input in[n]; |
|
||||
signal output out; |
|
||||
component and1; |
|
||||
component and2; |
|
||||
component ands[2]; |
|
||||
if (n==1) { |
|
||||
out <== in[0]; |
|
||||
} else if (n==2) { |
|
||||
and1 = AND(); |
|
||||
and1.a <== in[0]; |
|
||||
and1.b <== in[1]; |
|
||||
out <== and1.out; |
|
||||
} else { |
|
||||
and2 = AND(); |
|
||||
var n1 = n\2; |
|
||||
var n2 = n-n\2; |
|
||||
ands[0] = MultiAND(n1); |
|
||||
ands[1] = MultiAND(n2); |
|
||||
var i; |
|
||||
for (i=0; i<n1; i++) ands[0].in[i] <== in[i]; |
|
||||
for (i=0; i<n2; i++) ands[1].in[i] <== in[n1+i]; |
|
||||
and2.a <== ands[0].out; |
|
||||
and2.b <== ands[1].out; |
|
||||
out <== and2.out; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
|
|
@ -1,156 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template MiMC7(nrounds) { |
|
||||
signal input x_in; |
|
||||
signal input k; |
|
||||
signal output out; |
|
||||
|
|
||||
var c[91] = [ |
|
||||
0, |
|
||||
20888961410941983456478427210666206549300505294776164667214940546594746570981, |
|
||||
15265126113435022738560151911929040668591755459209400716467504685752745317193, |
|
||||
8334177627492981984476504167502758309043212251641796197711684499645635709656, |
|
||||
1374324219480165500871639364801692115397519265181803854177629327624133579404, |
|
||||
11442588683664344394633565859260176446561886575962616332903193988751292992472, |
|
||||
2558901189096558760448896669327086721003508630712968559048179091037845349145, |
|
||||
11189978595292752354820141775598510151189959177917284797737745690127318076389, |
|
||||
3262966573163560839685415914157855077211340576201936620532175028036746741754, |
|
||||
17029914891543225301403832095880481731551830725367286980611178737703889171730, |
|
||||
4614037031668406927330683909387957156531244689520944789503628527855167665518, |
|
||||
19647356996769918391113967168615123299113119185942498194367262335168397100658, |
|
||||
5040699236106090655289931820723926657076483236860546282406111821875672148900, |
|
||||
2632385916954580941368956176626336146806721642583847728103570779270161510514, |
|
||||
17691411851977575435597871505860208507285462834710151833948561098560743654671, |
|
||||
11482807709115676646560379017491661435505951727793345550942389701970904563183, |
|
||||
8360838254132998143349158726141014535383109403565779450210746881879715734773, |
|
||||
12663821244032248511491386323242575231591777785787269938928497649288048289525, |
|
||||
3067001377342968891237590775929219083706800062321980129409398033259904188058, |
|
||||
8536471869378957766675292398190944925664113548202769136103887479787957959589, |
|
||||
19825444354178182240559170937204690272111734703605805530888940813160705385792, |
|
||||
16703465144013840124940690347975638755097486902749048533167980887413919317592, |
|
||||
13061236261277650370863439564453267964462486225679643020432589226741411380501, |
|
||||
10864774797625152707517901967943775867717907803542223029967000416969007792571, |
|
||||
10035653564014594269791753415727486340557376923045841607746250017541686319774, |
|
||||
3446968588058668564420958894889124905706353937375068998436129414772610003289, |
|
||||
4653317306466493184743870159523234588955994456998076243468148492375236846006, |
|
||||
8486711143589723036499933521576871883500223198263343024003617825616410932026, |
|
||||
250710584458582618659378487568129931785810765264752039738223488321597070280, |
|
||||
2104159799604932521291371026105311735948154964200596636974609406977292675173, |
|
||||
16313562605837709339799839901240652934758303521543693857533755376563489378839, |
|
||||
6032365105133504724925793806318578936233045029919447519826248813478479197288, |
|
||||
14025118133847866722315446277964222215118620050302054655768867040006542798474, |
|
||||
7400123822125662712777833064081316757896757785777291653271747396958201309118, |
|
||||
1744432620323851751204287974553233986555641872755053103823939564833813704825, |
|
||||
8316378125659383262515151597439205374263247719876250938893842106722210729522, |
|
||||
6739722627047123650704294650168547689199576889424317598327664349670094847386, |
|
||||
21211457866117465531949733809706514799713333930924902519246949506964470524162, |
|
||||
13718112532745211817410303291774369209520657938741992779396229864894885156527, |
|
||||
5264534817993325015357427094323255342713527811596856940387954546330728068658, |
|
||||
18884137497114307927425084003812022333609937761793387700010402412840002189451, |
|
||||
5148596049900083984813839872929010525572543381981952060869301611018636120248, |
|
||||
19799686398774806587970184652860783461860993790013219899147141137827718662674, |
|
||||
19240878651604412704364448729659032944342952609050243268894572835672205984837, |
|
||||
10546185249390392695582524554167530669949955276893453512788278945742408153192, |
|
||||
5507959600969845538113649209272736011390582494851145043668969080335346810411, |
|
||||
18177751737739153338153217698774510185696788019377850245260475034576050820091, |
|
||||
19603444733183990109492724100282114612026332366576932662794133334264283907557, |
|
||||
10548274686824425401349248282213580046351514091431715597441736281987273193140, |
|
||||
1823201861560942974198127384034483127920205835821334101215923769688644479957, |
|
||||
11867589662193422187545516240823411225342068709600734253659804646934346124945, |
|
||||
18718569356736340558616379408444812528964066420519677106145092918482774343613, |
|
||||
10530777752259630125564678480897857853807637120039176813174150229243735996839, |
|
||||
20486583726592018813337145844457018474256372770211860618687961310422228379031, |
|
||||
12690713110714036569415168795200156516217175005650145422920562694422306200486, |
|
||||
17386427286863519095301372413760745749282643730629659997153085139065756667205, |
|
||||
2216432659854733047132347621569505613620980842043977268828076165669557467682, |
|
||||
6309765381643925252238633914530877025934201680691496500372265330505506717193, |
|
||||
20806323192073945401862788605803131761175139076694468214027227878952047793390, |
|
||||
4037040458505567977365391535756875199663510397600316887746139396052445718861, |
|
||||
19948974083684238245321361840704327952464170097132407924861169241740046562673, |
|
||||
845322671528508199439318170916419179535949348988022948153107378280175750024, |
|
||||
16222384601744433420585982239113457177459602187868460608565289920306145389382, |
|
||||
10232118865851112229330353999139005145127746617219324244541194256766741433339, |
|
||||
6699067738555349409504843460654299019000594109597429103342076743347235369120, |
|
||||
6220784880752427143725783746407285094967584864656399181815603544365010379208, |
|
||||
6129250029437675212264306655559561251995722990149771051304736001195288083309, |
|
||||
10773245783118750721454994239248013870822765715268323522295722350908043393604, |
|
||||
4490242021765793917495398271905043433053432245571325177153467194570741607167, |
|
||||
19596995117319480189066041930051006586888908165330319666010398892494684778526, |
|
||||
837850695495734270707668553360118467905109360511302468085569220634750561083, |
|
||||
11803922811376367215191737026157445294481406304781326649717082177394185903907, |
|
||||
10201298324909697255105265958780781450978049256931478989759448189112393506592, |
|
||||
13564695482314888817576351063608519127702411536552857463682060761575100923924, |
|
||||
9262808208636973454201420823766139682381973240743541030659775288508921362724, |
|
||||
173271062536305557219323722062711383294158572562695717740068656098441040230, |
|
||||
18120430890549410286417591505529104700901943324772175772035648111937818237369, |
|
||||
20484495168135072493552514219686101965206843697794133766912991150184337935627, |
|
||||
19155651295705203459475805213866664350848604323501251939850063308319753686505, |
|
||||
11971299749478202793661982361798418342615500543489781306376058267926437157297, |
|
||||
18285310723116790056148596536349375622245669010373674803854111592441823052978, |
|
||||
7069216248902547653615508023941692395371990416048967468982099270925308100727, |
|
||||
6465151453746412132599596984628739550147379072443683076388208843341824127379, |
|
||||
16143532858389170960690347742477978826830511669766530042104134302796355145785, |
|
||||
19362583304414853660976404410208489566967618125972377176980367224623492419647, |
|
||||
1702213613534733786921602839210290505213503664731919006932367875629005980493, |
|
||||
10781825404476535814285389902565833897646945212027592373510689209734812292327, |
|
||||
4212716923652881254737947578600828255798948993302968210248673545442808456151, |
|
||||
7594017890037021425366623750593200398174488805473151513558919864633711506220, |
|
||||
18979889247746272055963929241596362599320706910852082477600815822482192194401, |
|
||||
13602139229813231349386885113156901793661719180900395818909719758150455500533 |
|
||||
]; |
|
||||
|
|
||||
var t; |
|
||||
signal t2[nrounds]; |
|
||||
signal t4[nrounds]; |
|
||||
signal t6[nrounds]; |
|
||||
signal t7[nrounds-1]; |
|
||||
|
|
||||
for (var i=0; i<nrounds; i++) { |
|
||||
t = (i==0) ? k+x_in : k + t7[i-1] + c[i]; |
|
||||
t2[i] <== t*t; |
|
||||
t4[i] <== t2[i]*t2[i]; |
|
||||
t6[i] <== t4[i]*t2[i]; |
|
||||
if (i<nrounds-1) { |
|
||||
t7[i] <== t6[i]*t; |
|
||||
} else { |
|
||||
out <== t6[i]*t + k; |
|
||||
} |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template MultiMiMC7(nInputs, nRounds) { |
|
||||
signal input in[nInputs]; |
|
||||
signal input k; |
|
||||
signal output out; |
|
||||
signal r[nInputs +1]; |
|
||||
|
|
||||
component mims[nInputs]; |
|
||||
|
|
||||
r[0] <== k; |
|
||||
for (var i=0; i<nInputs; i++) { |
|
||||
mims[i] = MiMC7(nRounds); |
|
||||
mims[i].x_in <== in[i]; |
|
||||
mims[i].k <== r[i]; |
|
||||
r[i+1] <== r[i] + in[i] + mims[i].out; |
|
||||
} |
|
||||
|
|
||||
out <== r[nInputs]; |
|
||||
} |
|
@ -1,293 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
// implements MiMC-2n/n as hash using a sponge construction. |
|
||||
// log_5(21888242871839275222246405745257275088548364400416034343698204186575808495617) ~= 110 |
|
||||
// => nRounds should be 220 |
|
||||
template MiMCSponge(nInputs, nRounds, nOutputs) { |
|
||||
signal input ins[nInputs]; |
|
||||
signal input k; |
|
||||
signal output outs[nOutputs]; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
// S = R||C |
|
||||
component S[nInputs + nOutputs - 1]; |
|
||||
|
|
||||
for (i = 0; i < nInputs; i++) { |
|
||||
S[i] = MiMCFeistel(nRounds); |
|
||||
S[i].k <== k; |
|
||||
if (i == 0) { |
|
||||
S[i].xL_in <== ins[0]; |
|
||||
S[i].xR_in <== 0; |
|
||||
} else { |
|
||||
S[i].xL_in <== S[i-1].xL_out + ins[i]; |
|
||||
S[i].xR_in <== S[i-1].xR_out; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
outs[0] <== S[nInputs - 1].xL_out; |
|
||||
|
|
||||
for (i = 0; i < nOutputs - 1; i++) { |
|
||||
S[nInputs + i] = MiMCFeistel(nRounds); |
|
||||
S[nInputs + i].k <== k; |
|
||||
S[nInputs + i].xL_in <== S[nInputs + i - 1].xL_out; |
|
||||
S[nInputs + i].xR_in <== S[nInputs + i - 1].xR_out; |
|
||||
outs[i + 1] <== S[nInputs + i].xL_out; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template MiMCFeistel(nrounds) { |
|
||||
signal input xL_in; |
|
||||
signal input xR_in; |
|
||||
signal input k; |
|
||||
signal output xL_out; |
|
||||
signal output xR_out; |
|
||||
|
|
||||
// doesn't contain the first and last round constants, which are always zero |
|
||||
var c_partial[218] = [ |
|
||||
7120861356467848435263064379192047478074060781135320967663101236819528304084, |
|
||||
5024705281721889198577876690145313457398658950011302225525409148828000436681, |
|
||||
17980351014018068290387269214713820287804403312720763401943303895585469787384, |
|
||||
19886576439381707240399940949310933992335779767309383709787331470398675714258, |
|
||||
1213715278223786725806155661738676903520350859678319590331207960381534602599, |
|
||||
18162138253399958831050545255414688239130588254891200470934232514682584734511, |
|
||||
7667462281466170157858259197976388676420847047604921256361474169980037581876, |
|
||||
7207551498477838452286210989212982851118089401128156132319807392460388436957, |
|
||||
9864183311657946807255900203841777810810224615118629957816193727554621093838, |
|
||||
4798196928559910300796064665904583125427459076060519468052008159779219347957, |
|
||||
17387238494588145257484818061490088963673275521250153686214197573695921400950, |
|
||||
10005334761930299057035055370088813230849810566234116771751925093634136574742, |
|
||||
11897542014760736209670863723231849628230383119798486487899539017466261308762, |
|
||||
16771780563523793011283273687253985566177232886900511371656074413362142152543, |
|
||||
749264854018824809464168489785113337925400687349357088413132714480582918506, |
|
||||
3683645737503705042628598550438395339383572464204988015434959428676652575331, |
|
||||
7556750851783822914673316211129907782679509728346361368978891584375551186255, |
|
||||
20391289379084797414557439284689954098721219201171527383291525676334308303023, |
|
||||
18146517657445423462330854383025300323335289319277199154920964274562014376193, |
|
||||
8080173465267536232534446836148661251987053305394647905212781979099916615292, |
|
||||
10796443006899450245502071131975731672911747129805343722228413358507805531141, |
|
||||
5404287610364961067658660283245291234008692303120470305032076412056764726509, |
|
||||
4623894483395123520243967718315330178025957095502546813929290333264120223168, |
|
||||
16845753148201777192406958674202574751725237939980634861948953189320362207797, |
|
||||
4622170486584704769521001011395820886029808520586507873417553166762370293671, |
|
||||
16688277490485052681847773549197928630624828392248424077804829676011512392564, |
|
||||
11878652861183667748838188993669912629573713271883125458838494308957689090959, |
|
||||
2436445725746972287496138382764643208791713986676129260589667864467010129482, |
|
||||
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|
||||
274945154732293792784580363548970818611304339008964723447672490026510689427, |
|
||||
11050822248291117548220126630860474473945266276626263036056336623671308219529, |
|
||||
2119542016932434047340813757208803962484943912710204325088879681995922344971 |
|
||||
]; |
|
||||
|
|
||||
var t; |
|
||||
signal t2[nrounds]; |
|
||||
signal t4[nrounds]; |
|
||||
signal xL[nrounds-1]; |
|
||||
signal xR[nrounds-1]; |
|
||||
|
|
||||
var c; |
|
||||
for (var i=0; i<nrounds; i++) { |
|
||||
if ((i == 0) || (i == nrounds - 1)) { |
|
||||
c = 0; |
|
||||
} else { |
|
||||
c = c_partial[i - 1]; |
|
||||
} |
|
||||
t = (i==0) ? k+xL_in : k + xL[i-1] + c; |
|
||||
t2[i] <== t*t; |
|
||||
t4[i] <== t2[i]*t2[i]; |
|
||||
if (i<nrounds-1) { |
|
||||
var aux = (i==0) ? xR_in : xR[i-1] ; |
|
||||
xL[i] <== aux + t4[i]*t; |
|
||||
xR[i] <== (i==0) ? xL_in : xL[i-1]; |
|
||||
} else { |
|
||||
xR_out <== xR[i-1] + t4[i]*t; |
|
||||
xL_out <== xL[i-1]; |
|
||||
} |
|
||||
} |
|
||||
} |
|
@ -1,142 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
Source: https://en.wikipedia.org/wiki/Montgomery_curve |
|
||||
|
|
||||
1 + y 1 + y |
|
||||
[u, v] = [ ------- , ---------- ] |
|
||||
1 - y (1 - y)x |
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template Edwards2Montgomery() { |
|
||||
signal input in[2]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
out[0] <-- (1 + in[1]) / (1 - in[1]); |
|
||||
out[1] <-- out[0] / in[0]; |
|
||||
|
|
||||
|
|
||||
out[0] * (1-in[1]) === (1 + in[1]); |
|
||||
out[1] * in[0] === out[0]; |
|
||||
} |
|
||||
|
|
||||
/* |
|
||||
|
|
||||
u u - 1 |
|
||||
[x, y] = [ ---, ------- ] |
|
||||
v u + 1 |
|
||||
|
|
||||
*/ |
|
||||
template Montgomery2Edwards() { |
|
||||
signal input in[2]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
out[0] <-- in[0] / in[1]; |
|
||||
out[1] <-- (in[0] - 1) / (in[0] + 1); |
|
||||
|
|
||||
out[0] * in[1] === in[0]; |
|
||||
out[1] * (in[0] + 1) === in[0] - 1; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
/* |
|
||||
x2 - x1 |
|
||||
lamda = --------- |
|
||||
y2 - y1 |
|
||||
|
|
||||
x3 + A + x1 + x2 |
|
||||
x3 = B * lamda^2 - A - x1 -x2 => lamda^2 = ------------------ |
|
||||
B |
|
||||
|
|
||||
y3 = (2*x1 + x2 + A)*lamda - B*lamda^3 - y1 => |
|
||||
|
|
||||
|
|
||||
=> y3 = lamda * ( 2*x1 + x2 + A - x3 - A - x1 - x2) - y1 => |
|
||||
|
|
||||
=> y3 = lamda * ( x1 - x3 ) - y1 |
|
||||
|
|
||||
---------- |
|
||||
|
|
||||
y2 - y1 |
|
||||
lamda = --------- |
|
||||
x2 - x1 |
|
||||
|
|
||||
x3 = B * lamda^2 - A - x1 -x2 |
|
||||
|
|
||||
y3 = lamda * ( x1 - x3 ) - y1 |
|
||||
|
|
||||
*/ |
|
||||
|
|
||||
template MontgomeryAdd() { |
|
||||
signal input in1[2]; |
|
||||
signal input in2[2]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var a = 168700; |
|
||||
var d = 168696; |
|
||||
|
|
||||
var A = (2 * (a + d)) / (a - d); |
|
||||
var B = 4 / (a - d); |
|
||||
|
|
||||
signal lamda; |
|
||||
|
|
||||
lamda <-- (in2[1] - in1[1]) / (in2[0] - in1[0]); |
|
||||
lamda * (in2[0] - in1[0]) === (in2[1] - in1[1]); |
|
||||
|
|
||||
out[0] <== B*lamda*lamda - A - in1[0] -in2[0]; |
|
||||
out[1] <== lamda * (in1[0] - out[0]) - in1[1]; |
|
||||
} |
|
||||
|
|
||||
/* |
|
||||
|
|
||||
x1_2 = x1*x1 |
|
||||
|
|
||||
3*x1_2 + 2*A*x1 + 1 |
|
||||
lamda = --------------------- |
|
||||
2*B*y1 |
|
||||
|
|
||||
x3 = B * lamda^2 - A - x1 -x1 |
|
||||
|
|
||||
y3 = lamda * ( x1 - x3 ) - y1 |
|
||||
|
|
||||
*/ |
|
||||
template MontgomeryDouble() { |
|
||||
signal input in[2]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var a = 168700; |
|
||||
var d = 168696; |
|
||||
|
|
||||
var A = (2 * (a + d)) / (a - d); |
|
||||
var B = 4 / (a - d); |
|
||||
|
|
||||
signal lamda; |
|
||||
signal x1_2; |
|
||||
|
|
||||
x1_2 <== in[0] * in[0]; |
|
||||
|
|
||||
lamda <-- (3*x1_2 + 2*A*in[0] + 1 ) / (2*B*in[1]); |
|
||||
lamda * (2*B*in[1]) === (3*x1_2 + 2*A*in[0] + 1 ); |
|
||||
|
|
||||
out[0] <== B*lamda*lamda - A - 2*in[0]; |
|
||||
out[1] <== lamda * (in[0] - out[0]) - in[1]; |
|
||||
} |
|
@ -1,115 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
// --> Assignation without constraint |
|
||||
// <-- Assignation without constraint |
|
||||
// === Constraint |
|
||||
// <== Assignation with constraint |
|
||||
// ==> Assignation with constraint |
|
||||
// All variables are members of the field F[p] |
|
||||
// https://github.com/zcash-hackworks/sapling-crypto |
|
||||
// https://github.com/ebfull/bellman |
|
||||
|
|
||||
/* |
|
||||
function log2(a) { |
|
||||
if (a==0) { |
|
||||
return 0; |
|
||||
} |
|
||||
let n = 1; |
|
||||
let r = 1; |
|
||||
while (n<a) { |
|
||||
r++; |
|
||||
n *= 2; |
|
||||
} |
|
||||
return r; |
|
||||
} |
|
||||
*/ |
|
||||
|
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template EscalarProduct(w) { |
|
||||
signal input in1[w]; |
|
||||
signal input in2[w]; |
|
||||
signal output out; |
|
||||
signal aux[w]; |
|
||||
var lc = 0; |
|
||||
for (var i=0; i<w; i++) { |
|
||||
aux[i] <== in1[i]*in2[i]; |
|
||||
lc = lc + aux[i]; |
|
||||
} |
|
||||
out <== lc; |
|
||||
} |
|
||||
|
|
||||
template Decoder(w) { |
|
||||
signal input inp; |
|
||||
signal output out[w]; |
|
||||
signal output success; |
|
||||
var lc=0; |
|
||||
|
|
||||
for (var i=0; i<w; i++) { |
|
||||
out[i] <-- (inp == i) ? 1 : 0; |
|
||||
out[i] * (inp-i) === 0; |
|
||||
lc = lc + out[i]; |
|
||||
} |
|
||||
|
|
||||
lc ==> success; |
|
||||
success * (success -1) === 0; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
template Multiplexer(wIn, nIn) { |
|
||||
signal input inp[nIn][wIn]; |
|
||||
signal input sel; |
|
||||
signal output out[wIn]; |
|
||||
component dec = Decoder(nIn); |
|
||||
component ep[wIn]; |
|
||||
|
|
||||
for (var k=0; k<wIn; k++) { |
|
||||
ep[k] = EscalarProduct(nIn); |
|
||||
} |
|
||||
|
|
||||
sel ==> dec.inp; |
|
||||
for (var j=0; j<wIn; j++) { |
|
||||
for (var k=0; k<nIn; k++) { |
|
||||
inp[k][j] ==> ep[j].in1[k]; |
|
||||
dec.out[k] ==> ep[j].in2[k]; |
|
||||
} |
|
||||
ep[j].out ==> out[j]; |
|
||||
} |
|
||||
dec.success === 1; |
|
||||
} |
|
@ -1,48 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template MultiMux1(n) { |
|
||||
signal input c[n][2]; // Constants |
|
||||
signal input s; // Selector |
|
||||
signal output out[n]; |
|
||||
|
|
||||
for (var i=0; i<n; i++) { |
|
||||
|
|
||||
out[i] <== (c[i][1] - c[i][0])*s + c[i][0]; |
|
||||
|
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template Mux1() { |
|
||||
var i; |
|
||||
signal input c[2]; // Constants |
|
||||
signal input s; // Selector |
|
||||
signal output out; |
|
||||
|
|
||||
component mux = MultiMux1(1); |
|
||||
|
|
||||
for (i=0; i<2; i++) { |
|
||||
mux.c[0][i] <== c[i]; |
|
||||
} |
|
||||
|
|
||||
s ==> mux.s; |
|
||||
|
|
||||
mux.out[0] ==> out; |
|
||||
} |
|
@ -1,63 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template MultiMux2(n) { |
|
||||
signal input c[n][4]; // Constants |
|
||||
signal input s[2]; // Selector |
|
||||
signal output out[n]; |
|
||||
|
|
||||
signal a10[n]; |
|
||||
signal a1[n]; |
|
||||
signal a0[n]; |
|
||||
signal a[n]; |
|
||||
|
|
||||
signal s10; |
|
||||
s10 <== s[1] * s[0]; |
|
||||
|
|
||||
for (var i=0; i<n; i++) { |
|
||||
|
|
||||
a10[i] <== ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s10; |
|
||||
a1[i] <== ( c[i][ 2]-c[i][ 0] ) * s[1]; |
|
||||
a0[i] <== ( c[i][ 1]-c[i][ 0] ) * s[0]; |
|
||||
a[i] <== ( c[i][ 0] ); |
|
||||
|
|
||||
out[i] <== ( a10[i] + a1[i] + a0[i] + a[i] ); |
|
||||
|
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template Mux2() { |
|
||||
var i; |
|
||||
signal input c[4]; // Constants |
|
||||
signal input s[2]; // Selector |
|
||||
signal output out; |
|
||||
|
|
||||
component mux = MultiMux2(1); |
|
||||
|
|
||||
for (i=0; i<4; i++) { |
|
||||
mux.c[0][i] <== c[i]; |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<2; i++) { |
|
||||
s[i] ==> mux.s[i]; |
|
||||
} |
|
||||
|
|
||||
mux.out[0] ==> out; |
|
||||
} |
|
@ -1,75 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template MultiMux3(n) { |
|
||||
signal input c[n][8]; // Constants |
|
||||
signal input s[3]; // Selector |
|
||||
signal output out[n]; |
|
||||
|
|
||||
signal a210[n]; |
|
||||
signal a21[n]; |
|
||||
signal a20[n]; |
|
||||
signal a2[n]; |
|
||||
|
|
||||
signal a10[n]; |
|
||||
signal a1[n]; |
|
||||
signal a0[n]; |
|
||||
signal a[n]; |
|
||||
|
|
||||
// 4 constrains for the intermediary variables |
|
||||
signal s10; |
|
||||
s10 <== s[1] * s[0]; |
|
||||
|
|
||||
for (var i=0; i<n; i++) { |
|
||||
|
|
||||
a210[i] <== ( c[i][ 7]-c[i][ 6]-c[i][ 5]+c[i][ 4] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) * s10; |
|
||||
a21[i] <== ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) * s[1]; |
|
||||
a20[i] <== ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) * s[0]; |
|
||||
a2[i] <== ( c[i][ 4]-c[i][ 0] ); |
|
||||
|
|
||||
a10[i] <== ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s10; |
|
||||
a1[i] <== ( c[i][ 2]-c[i][ 0] ) * s[1]; |
|
||||
a0[i] <== ( c[i][ 1]-c[i][ 0] ) * s[0]; |
|
||||
a[i] <== ( c[i][ 0] ); |
|
||||
|
|
||||
out[i] <== ( a210[i] + a21[i] + a20[i] + a2[i] ) * s[2] + |
|
||||
( a10[i] + a1[i] + a0[i] + a[i] ); |
|
||||
|
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template Mux3() { |
|
||||
var i; |
|
||||
signal input c[8]; // Constants |
|
||||
signal input s[3]; // Selector |
|
||||
signal output out; |
|
||||
|
|
||||
component mux = MultiMux3(1); |
|
||||
|
|
||||
for (i=0; i<8; i++) { |
|
||||
mux.c[0][i] <== c[i]; |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<3; i++) { |
|
||||
s[i] ==> mux.s[i]; |
|
||||
} |
|
||||
|
|
||||
mux.out[0] ==> out; |
|
||||
} |
|
@ -1,119 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template MultiMux4(n) { |
|
||||
signal input c[n][16]; // Constants |
|
||||
signal input s[4]; // Selector |
|
||||
signal output out[n]; |
|
||||
|
|
||||
signal a3210[n]; |
|
||||
signal a321[n]; |
|
||||
signal a320[n]; |
|
||||
signal a310[n]; |
|
||||
signal a32[n]; |
|
||||
signal a31[n]; |
|
||||
signal a30[n]; |
|
||||
signal a3[n]; |
|
||||
|
|
||||
signal a210[n]; |
|
||||
signal a21[n]; |
|
||||
signal a20[n]; |
|
||||
signal a10[n]; |
|
||||
signal a2[n]; |
|
||||
signal a1[n]; |
|
||||
signal a0[n]; |
|
||||
signal a[n]; |
|
||||
|
|
||||
// 4 constrains for the intermediary variables |
|
||||
signal s10; |
|
||||
s10 <== s[1] * s[0]; |
|
||||
signal s20; |
|
||||
s20 <== s[2] * s[0]; |
|
||||
signal s21; |
|
||||
s21 <== s[2] * s[1]; |
|
||||
signal s210; |
|
||||
s210 <== s21 * s[0]; |
|
||||
|
|
||||
|
|
||||
for (var i=0; i<n; i++) { |
|
||||
|
|
||||
a3210[i] <== ( c[i][15]-c[i][14]-c[i][13]+c[i][12] - c[i][11]+c[i][10]+c[i][ 9]-c[i][ 8] |
|
||||
-c[i][ 7]+c[i][ 6]+c[i][ 5]-c[i][ 4] + c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s210; |
|
||||
a321[i] <== ( c[i][14]-c[i][12]-c[i][10]+c[i][ 8] - c[i][ 6]+c[i][ 4]+c[i][ 2]-c[i][ 0] ) * s21; |
|
||||
a320[i] <== ( c[i][13]-c[i][12]-c[i][ 9]+c[i][ 8] - c[i][ 5]+c[i][ 4]+c[i][ 1]-c[i][ 0] ) * s20; |
|
||||
a310[i] <== ( c[i][11]-c[i][10]-c[i][ 9]+c[i][ 8] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) * s10; |
|
||||
a32[i] <== ( c[i][12]-c[i][ 8]-c[i][ 4]+c[i][ 0] ) * s[2]; |
|
||||
a31[i] <== ( c[i][10]-c[i][ 8]-c[i][ 2]+c[i][ 0] ) * s[1]; |
|
||||
a30[i] <== ( c[i][ 9]-c[i][ 8]-c[i][ 1]+c[i][ 0] ) * s[0]; |
|
||||
a3[i] <== ( c[i][ 8]-c[i][ 0] ); |
|
||||
|
|
||||
a210[i] <== ( c[i][ 7]-c[i][ 6]-c[i][ 5]+c[i][ 4] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) * s210; |
|
||||
a21[i] <== ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) * s21; |
|
||||
a20[i] <== ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) * s20; |
|
||||
a10[i] <== ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s10; |
|
||||
a2[i] <== ( c[i][ 4]-c[i][ 0] ) * s[2]; |
|
||||
a1[i] <== ( c[i][ 2]-c[i][ 0] ) * s[1]; |
|
||||
a0[i] <== ( c[i][ 1]-c[i][ 0] ) * s[0]; |
|
||||
a[i] <== ( c[i][ 0] ); |
|
||||
|
|
||||
out[i] <== ( a3210[i] + a321[i] + a320[i] + a310[i] + a32[i] + a31[i] + a30[i] + a3[i] ) * s[3] + |
|
||||
( a210[i] + a21[i] + a20[i] + a10[i] + a2[i] + a1[i] + a0[i] + a[i] ); |
|
||||
|
|
||||
/* |
|
||||
out[i] <== ( s210 * ( c[i][15]-c[i][14]-c[i][13]+c[i][12] - c[i][11]+c[i][10]+c[i][ 9]-c[i][ 8] |
|
||||
-c[i][ 7]+c[i][ 6]+c[i][ 5]-c[i][ 4] + c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) + |
|
||||
s21 * ( c[i][14]-c[i][12]-c[i][10]+c[i][ 8] - c[i][ 6]+c[i][ 4]+c[i][ 2]-c[i][ 0] ) + |
|
||||
s20 * ( c[i][13]-c[i][12]-c[i][ 9]+c[i][ 8] - c[i][ 5]+c[i][ 4]+c[i][ 1]-c[i][ 0] ) + |
|
||||
s10 * ( c[i][11]-c[i][10]-c[i][ 9]+c[i][ 8] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) + |
|
||||
s[2] * ( c[i][12]-c[i][ 8]-c[i][ 4]+c[i][ 0] ) + |
|
||||
s[1] * ( c[i][10]-c[i][ 8]-c[i][ 2]+c[i][ 0] ) + |
|
||||
s[0] * ( c[i][ 9]-c[i][ 8]-c[i][ 1]+c[i][ 0] ) + |
|
||||
( c[i][ 8]-c[i][ 0] ) ) * s[3] + |
|
||||
( s210 * ( c[i][ 7]-c[i][ 6]-c[i][ 5]+c[i][ 4] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) + |
|
||||
s21 * ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) + |
|
||||
s20 * ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) + |
|
||||
s10 * ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) + |
|
||||
s[2] * ( c[i][ 4]-c[i][ 0] ) + |
|
||||
s[1] * ( c[i][ 2]-c[i][ 0] ) + |
|
||||
s[0] * ( c[i][ 1]-c[i][ 0] ) + |
|
||||
( c[i][ 0] )); |
|
||||
|
|
||||
*/ |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template Mux4() { |
|
||||
var i; |
|
||||
signal input c[16]; // Constants |
|
||||
signal input s[4]; // Selector |
|
||||
signal output out; |
|
||||
|
|
||||
component mux = MultiMux4(1); |
|
||||
|
|
||||
for (i=0; i<16; i++) { |
|
||||
mux.c[0][i] <== c[i]; |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<4; i++) { |
|
||||
s[i] ==> mux.s[i]; |
|
||||
} |
|
||||
|
|
||||
mux.out[0] ==> out; |
|
||||
} |
|
@ -1,257 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "montgomery.circom"; |
|
||||
include "mux3.circom"; |
|
||||
include "babyjub.circom"; |
|
||||
|
|
||||
template Window4() { |
|
||||
signal input in[4]; |
|
||||
signal input base[2]; |
|
||||
signal output out[2]; |
|
||||
signal output out8[2]; // Returns 8*Base (To be linked) |
|
||||
|
|
||||
component mux = MultiMux3(2); |
|
||||
|
|
||||
mux.s[0] <== in[0]; |
|
||||
mux.s[1] <== in[1]; |
|
||||
mux.s[2] <== in[2]; |
|
||||
|
|
||||
component dbl2 = MontgomeryDouble(); |
|
||||
component adr3 = MontgomeryAdd(); |
|
||||
component adr4 = MontgomeryAdd(); |
|
||||
component adr5 = MontgomeryAdd(); |
|
||||
component adr6 = MontgomeryAdd(); |
|
||||
component adr7 = MontgomeryAdd(); |
|
||||
component adr8 = MontgomeryAdd(); |
|
||||
|
|
||||
// in[0] -> 1*BASE |
|
||||
|
|
||||
mux.c[0][0] <== base[0]; |
|
||||
mux.c[1][0] <== base[1]; |
|
||||
|
|
||||
// in[1] -> 2*BASE |
|
||||
dbl2.in[0] <== base[0]; |
|
||||
dbl2.in[1] <== base[1]; |
|
||||
mux.c[0][1] <== dbl2.out[0]; |
|
||||
mux.c[1][1] <== dbl2.out[1]; |
|
||||
|
|
||||
// in[2] -> 3*BASE |
|
||||
adr3.in1[0] <== base[0]; |
|
||||
adr3.in1[1] <== base[1]; |
|
||||
adr3.in2[0] <== dbl2.out[0]; |
|
||||
adr3.in2[1] <== dbl2.out[1]; |
|
||||
mux.c[0][2] <== adr3.out[0]; |
|
||||
mux.c[1][2] <== adr3.out[1]; |
|
||||
|
|
||||
// in[3] -> 4*BASE |
|
||||
adr4.in1[0] <== base[0]; |
|
||||
adr4.in1[1] <== base[1]; |
|
||||
adr4.in2[0] <== adr3.out[0]; |
|
||||
adr4.in2[1] <== adr3.out[1]; |
|
||||
mux.c[0][3] <== adr4.out[0]; |
|
||||
mux.c[1][3] <== adr4.out[1]; |
|
||||
|
|
||||
// in[4] -> 5*BASE |
|
||||
adr5.in1[0] <== base[0]; |
|
||||
adr5.in1[1] <== base[1]; |
|
||||
adr5.in2[0] <== adr4.out[0]; |
|
||||
adr5.in2[1] <== adr4.out[1]; |
|
||||
mux.c[0][4] <== adr5.out[0]; |
|
||||
mux.c[1][4] <== adr5.out[1]; |
|
||||
|
|
||||
// in[5] -> 6*BASE |
|
||||
adr6.in1[0] <== base[0]; |
|
||||
adr6.in1[1] <== base[1]; |
|
||||
adr6.in2[0] <== adr5.out[0]; |
|
||||
adr6.in2[1] <== adr5.out[1]; |
|
||||
mux.c[0][5] <== adr6.out[0]; |
|
||||
mux.c[1][5] <== adr6.out[1]; |
|
||||
|
|
||||
// in[6] -> 7*BASE |
|
||||
adr7.in1[0] <== base[0]; |
|
||||
adr7.in1[1] <== base[1]; |
|
||||
adr7.in2[0] <== adr6.out[0]; |
|
||||
adr7.in2[1] <== adr6.out[1]; |
|
||||
mux.c[0][6] <== adr7.out[0]; |
|
||||
mux.c[1][6] <== adr7.out[1]; |
|
||||
|
|
||||
// in[7] -> 8*BASE |
|
||||
adr8.in1[0] <== base[0]; |
|
||||
adr8.in1[1] <== base[1]; |
|
||||
adr8.in2[0] <== adr7.out[0]; |
|
||||
adr8.in2[1] <== adr7.out[1]; |
|
||||
mux.c[0][7] <== adr8.out[0]; |
|
||||
mux.c[1][7] <== adr8.out[1]; |
|
||||
|
|
||||
out8[0] <== adr8.out[0]; |
|
||||
out8[1] <== adr8.out[1]; |
|
||||
|
|
||||
out[0] <== mux.out[0]; |
|
||||
out[1] <== - mux.out[1]*2*in[3] + mux.out[1]; // Negate y if in[3] is one |
|
||||
} |
|
||||
|
|
||||
|
|
||||
template Segment(nWindows) { |
|
||||
signal input in[nWindows*4]; |
|
||||
signal input base[2]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var i; |
|
||||
var j; |
|
||||
|
|
||||
// Convert the base to montgomery |
|
||||
|
|
||||
component e2m = Edwards2Montgomery(); |
|
||||
e2m.in[0] <== base[0]; |
|
||||
e2m.in[1] <== base[1]; |
|
||||
|
|
||||
component windows[nWindows]; |
|
||||
component doublers1[nWindows-1]; |
|
||||
component doublers2[nWindows-1]; |
|
||||
component adders[nWindows-1]; |
|
||||
for (i=0; i<nWindows; i++) { |
|
||||
windows[i] = Window4(); |
|
||||
for (j=0; j<4; j++) { |
|
||||
windows[i].in[j] <== in[4*i+j]; |
|
||||
} |
|
||||
if (i==0) { |
|
||||
windows[i].base[0] <== e2m.out[0]; |
|
||||
windows[i].base[1] <== e2m.out[1]; |
|
||||
} else { |
|
||||
doublers1[i-1] = MontgomeryDouble(); |
|
||||
doublers2[i-1] = MontgomeryDouble(); |
|
||||
doublers1[i-1].in[0] <== windows[i-1].out8[0]; |
|
||||
doublers1[i-1].in[1] <== windows[i-1].out8[1]; |
|
||||
doublers2[i-1].in[0] <== doublers1[i-1].out[0]; |
|
||||
doublers2[i-1].in[1] <== doublers1[i-1].out[1]; |
|
||||
|
|
||||
windows[i].base[0] <== doublers2[i-1].out[0]; |
|
||||
windows[i].base[1] <== doublers2[i-1].out[1]; |
|
||||
|
|
||||
adders[i-1] = MontgomeryAdd(); |
|
||||
if (i==1) { |
|
||||
adders[i-1].in1[0] <== windows[0].out[0]; |
|
||||
adders[i-1].in1[1] <== windows[0].out[1]; |
|
||||
} else { |
|
||||
adders[i-1].in1[0] <== adders[i-2].out[0]; |
|
||||
adders[i-1].in1[1] <== adders[i-2].out[1]; |
|
||||
} |
|
||||
adders[i-1].in2[0] <== windows[i].out[0]; |
|
||||
adders[i-1].in2[1] <== windows[i].out[1]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
component m2e = Montgomery2Edwards(); |
|
||||
|
|
||||
if (nWindows > 1) { |
|
||||
m2e.in[0] <== adders[nWindows-2].out[0]; |
|
||||
m2e.in[1] <== adders[nWindows-2].out[1]; |
|
||||
} else { |
|
||||
m2e.in[0] <== windows[0].out[0]; |
|
||||
m2e.in[1] <== windows[0].out[1]; |
|
||||
} |
|
||||
|
|
||||
out[0] <== m2e.out[0]; |
|
||||
out[1] <== m2e.out[1]; |
|
||||
} |
|
||||
|
|
||||
template Pedersen(n) { |
|
||||
signal input in[n]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var BASE[10][2] = [ |
|
||||
[10457101036533406547632367118273992217979173478358440826365724437999023779287,19824078218392094440610104313265183977899662750282163392862422243483260492317], |
|
||||
[2671756056509184035029146175565761955751135805354291559563293617232983272177,2663205510731142763556352975002641716101654201788071096152948830924149045094], |
|
||||
[5802099305472655231388284418920769829666717045250560929368476121199858275951,5980429700218124965372158798884772646841287887664001482443826541541529227896], |
|
||||
[7107336197374528537877327281242680114152313102022415488494307685842428166594,2857869773864086953506483169737724679646433914307247183624878062391496185654], |
|
||||
[20265828622013100949498132415626198973119240347465898028410217039057588424236,1160461593266035632937973507065134938065359936056410650153315956301179689506], |
|
||||
[1487999857809287756929114517587739322941449154962237464737694709326309567994,14017256862867289575056460215526364897734808720610101650676790868051368668003], |
|
||||
[14618644331049802168996997831720384953259095788558646464435263343433563860015,13115243279999696210147231297848654998887864576952244320558158620692603342236], |
|
||||
[6814338563135591367010655964669793483652536871717891893032616415581401894627,13660303521961041205824633772157003587453809761793065294055279768121314853695], |
|
||||
[3571615583211663069428808372184817973703476260057504149923239576077102575715,11981351099832644138306422070127357074117642951423551606012551622164230222506], |
|
||||
[18597552580465440374022635246985743886550544261632147935254624835147509493269,6753322320275422086923032033899357299485124665258735666995435957890214041481] |
|
||||
|
|
||||
]; |
|
||||
|
|
||||
var nSegments = ((n-1)\200)+1; |
|
||||
|
|
||||
component segments[nSegments]; |
|
||||
|
|
||||
var i; |
|
||||
var j; |
|
||||
var nBits; |
|
||||
var nWindows; |
|
||||
for (i=0; i<nSegments; i++) { |
|
||||
nBits = (i == (nSegments-1)) ? n - (nSegments-1)*200 : 200; |
|
||||
nWindows = ((nBits - 1)\4)+1; |
|
||||
segments[i] = Segment(nWindows); |
|
||||
segments[i].base[0] <== BASE[i][0]; |
|
||||
segments[i].base[1] <== BASE[i][1]; |
|
||||
for (j = 0; j<nBits; j++) { |
|
||||
segments[i].in[j] <== in[i*200+j]; |
|
||||
} |
|
||||
// Fill padding bits |
|
||||
for (j = nBits; j < nWindows*4; j++) { |
|
||||
segments[i].in[j] <== 0; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
component adders[nSegments-1]; |
|
||||
|
|
||||
for (i=0; i<nSegments-1; i++) { |
|
||||
adders[i] = BabyAdd(); |
|
||||
if (i==0) { |
|
||||
adders[i].x1 <== segments[0].out[0]; |
|
||||
adders[i].y1 <== segments[0].out[1]; |
|
||||
adders[i].x2 <== segments[1].out[0]; |
|
||||
adders[i].y2 <== segments[1].out[1]; |
|
||||
} else { |
|
||||
adders[i].x1 <== adders[i-1].xout; |
|
||||
adders[i].y1 <== adders[i-1].yout; |
|
||||
adders[i].x2 <== segments[i+1].out[0]; |
|
||||
adders[i].y2 <== segments[i+1].out[1]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
/* |
|
||||
coponent packPoint = PackPoint(); |
|
||||
|
|
||||
if (nSegments>1) { |
|
||||
packPoint.in[0] <== adders[nSegments-2].xout; |
|
||||
packPoint.in[1] <== adders[nSegments-2].yout; |
|
||||
} else { |
|
||||
packPoint.in[0] <== segments[0].out[0]; |
|
||||
packPoint.in[1] <== segments[0].out[1]; |
|
||||
} |
|
||||
|
|
||||
out[0] <== packPoint.out[0]; |
|
||||
out[1] <== packPoint.out[1]; |
|
||||
*/ |
|
||||
|
|
||||
if (nSegments>1) { |
|
||||
out[0] <== adders[nSegments-2].xout; |
|
||||
out[1] <== adders[nSegments-2].yout; |
|
||||
} else { |
|
||||
out[0] <== segments[0].out[0]; |
|
||||
out[1] <== segments[0].out[1]; |
|
||||
} |
|
||||
} |
|
||||
|
|
@ -1,68 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "escalarmul.circom"; |
|
||||
|
|
||||
template Pedersen(n) { |
|
||||
signal input in[n]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var nexps = ((n-1) \ 250) + 1; |
|
||||
var nlastbits = n - (nexps-1)*250; |
|
||||
|
|
||||
component escalarMuls[nexps]; |
|
||||
|
|
||||
var PBASE[10][2] = [ |
|
||||
[10457101036533406547632367118273992217979173478358440826365724437999023779287,19824078218392094440610104313265183977899662750282163392862422243483260492317], |
|
||||
[2671756056509184035029146175565761955751135805354291559563293617232983272177,2663205510731142763556352975002641716101654201788071096152948830924149045094], |
|
||||
[5802099305472655231388284418920769829666717045250560929368476121199858275951,5980429700218124965372158798884772646841287887664001482443826541541529227896], |
|
||||
[7107336197374528537877327281242680114152313102022415488494307685842428166594,2857869773864086953506483169737724679646433914307247183624878062391496185654], |
|
||||
[20265828622013100949498132415626198973119240347465898028410217039057588424236,1160461593266035632937973507065134938065359936056410650153315956301179689506], |
|
||||
[1487999857809287756929114517587739322941449154962237464737694709326309567994,14017256862867289575056460215526364897734808720610101650676790868051368668003], |
|
||||
[14618644331049802168996997831720384953259095788558646464435263343433563860015,13115243279999696210147231297848654998887864576952244320558158620692603342236], |
|
||||
[6814338563135591367010655964669793483652536871717891893032616415581401894627,13660303521961041205824633772157003587453809761793065294055279768121314853695], |
|
||||
[3571615583211663069428808372184817973703476260057504149923239576077102575715,11981351099832644138306422070127357074117642951423551606012551622164230222506], |
|
||||
[18597552580465440374022635246985743886550544261632147935254624835147509493269,6753322320275422086923032033899357299485124665258735666995435957890214041481] |
|
||||
|
|
||||
]; |
|
||||
|
|
||||
var i; |
|
||||
var j; |
|
||||
var nexpbits; |
|
||||
for (i=0; i<nexps; i++) { |
|
||||
nexpbits = (i == nexps-1) ? nlastbits : 250; |
|
||||
escalarMuls[i] = EscalarMul(nexpbits, PBASE[i]); |
|
||||
|
|
||||
for (j=0; j<nexpbits; j++) { |
|
||||
escalarMuls[i].in[j] <== in[250*i + j]; |
|
||||
} |
|
||||
|
|
||||
if (i==0) { |
|
||||
escalarMuls[i].inp[0] <== 0; |
|
||||
escalarMuls[i].inp[1] <== 1; |
|
||||
} else { |
|
||||
escalarMuls[i].inp[0] <== escalarMuls[i-1].out[0]; |
|
||||
escalarMuls[i].inp[1] <== escalarMuls[i-1].out[1]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
escalarMuls[nexps-1].out[0] ==> out[0]; |
|
||||
escalarMuls[nexps-1].out[1] ==> out[1]; |
|
||||
} |
|
@ -1,164 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "bitify.circom"; |
|
||||
include "aliascheck.circom"; |
|
||||
include "compconstant.circom"; |
|
||||
include "babyjub.circom"; |
|
||||
|
|
||||
|
|
||||
function sqrt(n) { |
|
||||
|
|
||||
if (n == 0) { |
|
||||
return 0; |
|
||||
} |
|
||||
|
|
||||
// Test that have solution |
|
||||
var res = n ** ((-1) >> 1); |
|
||||
// if (res!=1) assert(false, "SQRT does not exists"); |
|
||||
if (res!=1) return 0; |
|
||||
|
|
||||
var m = 28; |
|
||||
var c = 19103219067921713944291392827692070036145651957329286315305642004821462161904; |
|
||||
var t = n ** 81540058820840996586704275553141814055101440848469862132140264610111; |
|
||||
var r = n ** ((81540058820840996586704275553141814055101440848469862132140264610111+1)>>1); |
|
||||
var sq; |
|
||||
var i; |
|
||||
var b; |
|
||||
var j; |
|
||||
|
|
||||
while ((r != 0)&&(t != 1)) { |
|
||||
sq = t*t; |
|
||||
i = 1; |
|
||||
while (sq!=1) { |
|
||||
i++; |
|
||||
sq = sq*sq; |
|
||||
} |
|
||||
|
|
||||
// b = c ^ m-i-1 |
|
||||
b = c; |
|
||||
for (j=0; j< m-i-1; j ++) b = b*b; |
|
||||
|
|
||||
m = i; |
|
||||
c = b*b; |
|
||||
t = t*c; |
|
||||
r = r*b; |
|
||||
} |
|
||||
|
|
||||
if (r < 0 ) { |
|
||||
r = -r; |
|
||||
} |
|
||||
|
|
||||
return r; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
template Bits2Point() { |
|
||||
signal input in[256]; |
|
||||
signal output out[2]; |
|
||||
} |
|
||||
|
|
||||
template Bits2Point_Strict() { |
|
||||
signal input in[256]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
// Check aliasing |
|
||||
component aliasCheckY = AliasCheck(); |
|
||||
for (i=0; i<254; i++) { |
|
||||
aliasCheckY.in[i] <== in[i]; |
|
||||
} |
|
||||
in[254] === 0; |
|
||||
|
|
||||
component b2nY = Bits2Num(254); |
|
||||
for (i=0; i<254; i++) { |
|
||||
b2nY.in[i] <== in[i]; |
|
||||
} |
|
||||
|
|
||||
out[1] <== b2nY.out; |
|
||||
|
|
||||
var a = 168700; |
|
||||
var d = 168696; |
|
||||
|
|
||||
var y2 = out[1] * out[1]; |
|
||||
|
|
||||
var x = sqrt( (1-y2)/(a - d*y2) ); |
|
||||
|
|
||||
if (in[255] == 1) x = -x; |
|
||||
|
|
||||
out[0] <-- x; |
|
||||
|
|
||||
component babyCheck = BabyCheck(); |
|
||||
babyCheck.x <== out[0]; |
|
||||
babyCheck.y <== out[1]; |
|
||||
|
|
||||
component n2bX = Num2Bits(254); |
|
||||
n2bX.in <== out[0]; |
|
||||
component aliasCheckX = AliasCheck(); |
|
||||
for (i=0; i<254; i++) { |
|
||||
aliasCheckX.in[i] <== n2bX.out[i]; |
|
||||
} |
|
||||
|
|
||||
component signCalc = CompConstant(10944121435919637611123202872628637544274182200208017171849102093287904247808); |
|
||||
for (i=0; i<254; i++) { |
|
||||
signCalc.in[i] <== n2bX.out[i]; |
|
||||
} |
|
||||
|
|
||||
signCalc.out === in[255]; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
template Point2Bits() { |
|
||||
signal input in[2]; |
|
||||
signal output out[256]; |
|
||||
|
|
||||
|
|
||||
} |
|
||||
|
|
||||
template Point2Bits_Strict() { |
|
||||
signal input in[2]; |
|
||||
signal output out[256]; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
component n2bX = Num2Bits(254); |
|
||||
n2bX.in <== in[0]; |
|
||||
component n2bY = Num2Bits(254); |
|
||||
n2bY.in <== in[1]; |
|
||||
|
|
||||
component aliasCheckX = AliasCheck(); |
|
||||
component aliasCheckY = AliasCheck(); |
|
||||
for (i=0; i<254; i++) { |
|
||||
aliasCheckX.in[i] <== n2bX.out[i]; |
|
||||
aliasCheckY.in[i] <== n2bY.out[i]; |
|
||||
} |
|
||||
|
|
||||
component signCalc = CompConstant(10944121435919637611123202872628637544274182200208017171849102093287904247808); |
|
||||
for (i=0; i<254; i++) { |
|
||||
signCalc.in[i] <== n2bX.out[i]; |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<254; i++) { |
|
||||
out[i] <== n2bY.out[i]; |
|
||||
} |
|
||||
out[254] <== 0; |
|
||||
out[255] <== signCalc.out; |
|
||||
} |
|
@ -1,208 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "./poseidon_constants.circom"; |
|
||||
|
|
||||
template Sigma() { |
|
||||
signal input in; |
|
||||
signal output out; |
|
||||
|
|
||||
signal in2; |
|
||||
signal in4; |
|
||||
|
|
||||
in2 <== in*in; |
|
||||
in4 <== in2*in2; |
|
||||
|
|
||||
out <== in4*in; |
|
||||
} |
|
||||
|
|
||||
template Ark(t, C, r) { |
|
||||
signal input in[t]; |
|
||||
signal output out[t]; |
|
||||
|
|
||||
for (var i=0; i<t; i++) { |
|
||||
out[i] <== in[i] + C[i + r]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template Mix(t, M) { |
|
||||
signal input in[t]; |
|
||||
signal output out[t]; |
|
||||
|
|
||||
var lc; |
|
||||
for (var i=0; i<t; i++) { |
|
||||
lc = 0; |
|
||||
for (var j=0; j<t; j++) { |
|
||||
lc += M[j][i]*in[j]; |
|
||||
} |
|
||||
out[i] <== lc; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template MixLast(t, M, s) { |
|
||||
signal input in[t]; |
|
||||
signal output out; |
|
||||
|
|
||||
var lc = 0; |
|
||||
for (var j=0; j<t; j++) { |
|
||||
lc += M[j][s]*in[j]; |
|
||||
} |
|
||||
out <== lc; |
|
||||
} |
|
||||
|
|
||||
template MixS(t, S, r) { |
|
||||
signal input in[t]; |
|
||||
signal output out[t]; |
|
||||
|
|
||||
|
|
||||
var lc = 0; |
|
||||
for (var i=0; i<t; i++) { |
|
||||
lc += S[(t*2-1)*r+i]*in[i]; |
|
||||
} |
|
||||
out[0] <== lc; |
|
||||
for (var i=1; i<t; i++) { |
|
||||
out[i] <== in[i] + in[0] * S[(t*2-1)*r + t + i -1]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template PoseidonEx(nInputs, nOuts) { |
|
||||
signal input inputs[nInputs]; |
|
||||
signal input initialState; |
|
||||
signal output out[nOuts]; |
|
||||
|
|
||||
// Using recommended parameters from whitepaper https://eprint.iacr.org/2019/458.pdf (table 2, table 8) |
|
||||
// Generated by https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/calc_round_numbers.py |
|
||||
// And rounded up to nearest integer that divides by t |
|
||||
var N_ROUNDS_P[16] = [56, 57, 56, 60, 60, 63, 64, 63, 60, 66, 60, 65, 70, 60, 64, 68]; |
|
||||
var t = nInputs + 1; |
|
||||
var nRoundsF = 8; |
|
||||
var nRoundsP = N_ROUNDS_P[t - 2]; |
|
||||
var C[t*nRoundsF + nRoundsP] = POSEIDON_C(t); |
|
||||
var S[ N_ROUNDS_P[t-2] * (t*2-1) ] = POSEIDON_S(t); |
|
||||
var M[t][t] = POSEIDON_M(t); |
|
||||
var P[t][t] = POSEIDON_P(t); |
|
||||
|
|
||||
component ark[nRoundsF]; |
|
||||
component sigmaF[nRoundsF][t]; |
|
||||
component sigmaP[nRoundsP]; |
|
||||
component mix[nRoundsF-1]; |
|
||||
component mixS[nRoundsP]; |
|
||||
component mixLast[nOuts]; |
|
||||
|
|
||||
|
|
||||
ark[0] = Ark(t, C, 0); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
if (j>0) { |
|
||||
ark[0].in[j] <== inputs[j-1]; |
|
||||
} else { |
|
||||
ark[0].in[j] <== initialState; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
for (var r = 0; r < nRoundsF\2-1; r++) { |
|
||||
for (var j=0; j<t; j++) { |
|
||||
sigmaF[r][j] = Sigma(); |
|
||||
if(r==0) { |
|
||||
sigmaF[r][j].in <== ark[0].out[j]; |
|
||||
} else { |
|
||||
sigmaF[r][j].in <== mix[r-1].out[j]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
ark[r+1] = Ark(t, C, (r+1)*t); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
ark[r+1].in[j] <== sigmaF[r][j].out; |
|
||||
} |
|
||||
|
|
||||
mix[r] = Mix(t,M); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
mix[r].in[j] <== ark[r+1].out[j]; |
|
||||
} |
|
||||
|
|
||||
} |
|
||||
|
|
||||
for (var j=0; j<t; j++) { |
|
||||
sigmaF[nRoundsF\2-1][j] = Sigma(); |
|
||||
sigmaF[nRoundsF\2-1][j].in <== mix[nRoundsF\2-2].out[j]; |
|
||||
} |
|
||||
|
|
||||
ark[nRoundsF\2] = Ark(t, C, (nRoundsF\2)*t ); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
ark[nRoundsF\2].in[j] <== sigmaF[nRoundsF\2-1][j].out; |
|
||||
} |
|
||||
|
|
||||
mix[nRoundsF\2-1] = Mix(t,P); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
mix[nRoundsF\2-1].in[j] <== ark[nRoundsF\2].out[j]; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
for (var r = 0; r < nRoundsP; r++) { |
|
||||
sigmaP[r] = Sigma(); |
|
||||
if (r==0) { |
|
||||
sigmaP[r].in <== mix[nRoundsF\2-1].out[0]; |
|
||||
} else { |
|
||||
sigmaP[r].in <== mixS[r-1].out[0]; |
|
||||
} |
|
||||
|
|
||||
mixS[r] = MixS(t, S, r); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
if (j==0) { |
|
||||
mixS[r].in[j] <== sigmaP[r].out + C[(nRoundsF\2+1)*t + r]; |
|
||||
} else { |
|
||||
if (r==0) { |
|
||||
mixS[r].in[j] <== mix[nRoundsF\2-1].out[j]; |
|
||||
} else { |
|
||||
mixS[r].in[j] <== mixS[r-1].out[j]; |
|
||||
} |
|
||||
} |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
for (var r = 0; r < nRoundsF\2-1; r++) { |
|
||||
for (var j=0; j<t; j++) { |
|
||||
sigmaF[nRoundsF\2 + r][j] = Sigma(); |
|
||||
if (r==0) { |
|
||||
sigmaF[nRoundsF\2 + r][j].in <== mixS[nRoundsP-1].out[j]; |
|
||||
} else { |
|
||||
sigmaF[nRoundsF\2 + r][j].in <== mix[nRoundsF\2+r-1].out[j]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
ark[ nRoundsF\2 + r + 1] = Ark(t, C, (nRoundsF\2+1)*t + nRoundsP + r*t ); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
ark[nRoundsF\2 + r + 1].in[j] <== sigmaF[nRoundsF\2 + r][j].out; |
|
||||
} |
|
||||
|
|
||||
mix[nRoundsF\2 + r] = Mix(t,M); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
mix[nRoundsF\2 + r].in[j] <== ark[nRoundsF\2 + r + 1].out[j]; |
|
||||
} |
|
||||
|
|
||||
} |
|
||||
|
|
||||
for (var j=0; j<t; j++) { |
|
||||
sigmaF[nRoundsF-1][j] = Sigma(); |
|
||||
sigmaF[nRoundsF-1][j].in <== mix[nRoundsF-2].out[j]; |
|
||||
} |
|
||||
|
|
||||
for (var i=0; i<nOuts; i++) { |
|
||||
mixLast[i] = MixLast(t,M,i); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
mixLast[i].in[j] <== sigmaF[nRoundsF-1][j].out; |
|
||||
} |
|
||||
out[i] <== mixLast[i].out; |
|
||||
} |
|
||||
|
|
||||
} |
|
||||
|
|
||||
template Poseidon(nInputs) { |
|
||||
signal input inputs[nInputs]; |
|
||||
signal output out; |
|
||||
|
|
||||
component pEx = PoseidonEx(nInputs, 1); |
|
||||
pEx.initialState <== 0; |
|
||||
for (var i=0; i<nInputs; i++) { |
|
||||
pEx.inputs[i] <== inputs[i]; |
|
||||
} |
|
||||
out <== pEx.out[0]; |
|
||||
} |
|
@ -1,97 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "./poseidon_constants.circom"; |
|
||||
|
|
||||
template Sigma() { |
|
||||
signal input in; |
|
||||
signal output out; |
|
||||
|
|
||||
signal in2; |
|
||||
signal in4; |
|
||||
|
|
||||
in2 <== in*in; |
|
||||
in4 <== in2*in2; |
|
||||
|
|
||||
out <== in4*in; |
|
||||
} |
|
||||
|
|
||||
template Ark(t, C, r) { |
|
||||
signal input in[t]; |
|
||||
signal output out[t]; |
|
||||
|
|
||||
for (var i=0; i<t; i++) { |
|
||||
out[i] <== in[i] + C[i + r]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template Mix(t, M) { |
|
||||
signal input in[t]; |
|
||||
signal output out[t]; |
|
||||
|
|
||||
var lc; |
|
||||
for (var i=0; i<t; i++) { |
|
||||
lc = 0; |
|
||||
for (var j=0; j<t; j++) { |
|
||||
lc += M[i][j]*in[j]; |
|
||||
} |
|
||||
out[i] <== lc; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template Poseidon(nInputs) { |
|
||||
signal input inputs[nInputs]; |
|
||||
signal output out; |
|
||||
|
|
||||
// Using recommended parameters from whitepaper https://eprint.iacr.org/2019/458.pdf (table 2, table 8) |
|
||||
// Generated by https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/calc_round_numbers.py |
|
||||
// And rounded up to nearest integer that divides by t |
|
||||
var N_ROUNDS_P[16] = [56, 57, 56, 60, 60, 63, 64, 63, 60, 66, 60, 65, 70, 60, 64, 68]; |
|
||||
var t = nInputs + 1; |
|
||||
var nRoundsF = 8; |
|
||||
var nRoundsP = N_ROUNDS_P[t - 2]; |
|
||||
var C[t*(nRoundsF + nRoundsP)] = POSEIDON_C(t); |
|
||||
var M[t][t] = POSEIDON_M(t); |
|
||||
|
|
||||
component ark[nRoundsF + nRoundsP]; |
|
||||
component sigmaF[nRoundsF][t]; |
|
||||
component sigmaP[nRoundsP]; |
|
||||
component mix[nRoundsF + nRoundsP]; |
|
||||
|
|
||||
var k; |
|
||||
|
|
||||
for (var i=0; i<nRoundsF + nRoundsP; i++) { |
|
||||
ark[i] = Ark(t, C, t*i); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
if (i==0) { |
|
||||
if (j>0) { |
|
||||
ark[i].in[j] <== inputs[j-1]; |
|
||||
} else { |
|
||||
ark[i].in[j] <== 0; |
|
||||
} |
|
||||
} else { |
|
||||
ark[i].in[j] <== mix[i-1].out[j]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
if (i < nRoundsF/2 || i >= nRoundsP + nRoundsF/2) { |
|
||||
k = i < nRoundsF/2 ? i : i - nRoundsP; |
|
||||
mix[i] = Mix(t, M); |
|
||||
for (var j=0; j<t; j++) { |
|
||||
sigmaF[k][j] = Sigma(); |
|
||||
sigmaF[k][j].in <== ark[i].out[j]; |
|
||||
mix[i].in[j] <== sigmaF[k][j].out; |
|
||||
} |
|
||||
} else { |
|
||||
k = i - nRoundsF/2; |
|
||||
mix[i] = Mix(t, M); |
|
||||
sigmaP[k] = Sigma(); |
|
||||
sigmaP[k].in <== ark[i].out[0]; |
|
||||
mix[i].in[0] <== sigmaP[k].out; |
|
||||
for (var j=1; j<t; j++) { |
|
||||
mix[i].in[j] <== ark[i].out[j]; |
|
||||
} |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
out <== mix[nRoundsF + nRoundsP -1].out[0]; |
|
||||
} |
|
@ -1,47 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* Ch |
|
||||
|
|
||||
000 0 |
|
||||
001 1 |
|
||||
010 0 |
|
||||
011 1 |
|
||||
100 0 |
|
||||
101 0 |
|
||||
110 1 |
|
||||
111 1 |
|
||||
|
|
||||
out = a&b ^ (!a)&c => |
|
||||
|
|
||||
out = a*(b-c) + c |
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template Ch_t(n) { |
|
||||
signal input a[n]; |
|
||||
signal input b[n]; |
|
||||
signal input c[n]; |
|
||||
signal output out[n]; |
|
||||
|
|
||||
for (var k=0; k<n; k++) { |
|
||||
out[k] <== a[k] * (b[k]-c[k]) + c[k]; |
|
||||
} |
|
||||
} |
|
@ -1,53 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template H(x) { |
|
||||
signal output out[32]; |
|
||||
var c[8] = [0x6a09e667, |
|
||||
0xbb67ae85, |
|
||||
0x3c6ef372, |
|
||||
0xa54ff53a, |
|
||||
0x510e527f, |
|
||||
0x9b05688c, |
|
||||
0x1f83d9ab, |
|
||||
0x5be0cd19]; |
|
||||
|
|
||||
for (var i=0; i<32; i++) { |
|
||||
out[i] <== (c[x] >> i) & 1; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template K(x) { |
|
||||
signal output out[32]; |
|
||||
var c[64] = [ |
|
||||
0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5, |
|
||||
0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174, |
|
||||
0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da, |
|
||||
0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967, |
|
||||
0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85, |
|
||||
0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070, |
|
||||
0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3, |
|
||||
0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2 |
|
||||
]; |
|
||||
|
|
||||
for (var i=0; i<32; i++) { |
|
||||
out[i] <== (c[x] >> i) & 1; |
|
||||
} |
|
||||
} |
|
@ -1,35 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "sha256_2.circom"; |
|
||||
|
|
||||
template Main() { |
|
||||
signal input a; |
|
||||
signal input b; |
|
||||
signal output out; |
|
||||
|
|
||||
component sha256_2 = Sha256_2(); |
|
||||
|
|
||||
sha256_2.a <== a; |
|
||||
sha256_2.b <== a; |
|
||||
out <== sha256_2.out; |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
@ -1,45 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* Maj function for sha256 |
|
||||
|
|
||||
out = a&b ^ a&c ^ b&c => |
|
||||
|
|
||||
out = a*b + a*c + b*c - 2*a*b*c => |
|
||||
|
|
||||
out = a*( b + c - 2*b*c ) + b*c => |
|
||||
|
|
||||
mid = b*c |
|
||||
out = a*( b + c - 2*mid ) + mid |
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template Maj_t(n) { |
|
||||
signal input a[n]; |
|
||||
signal input b[n]; |
|
||||
signal input c[n]; |
|
||||
signal output out[n]; |
|
||||
signal mid[n]; |
|
||||
|
|
||||
for (var k=0; k<n; k++) { |
|
||||
mid[k] <== b[k]*c[k]; |
|
||||
out[k] <== a[k] * (b[k]+c[k]-2*mid[k]) + mid[k]; |
|
||||
} |
|
||||
} |
|
@ -1,28 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template RotR(n, r) { |
|
||||
signal input in[n]; |
|
||||
signal output out[n]; |
|
||||
|
|
||||
for (var i=0; i<n; i++) { |
|
||||
out[i] <== in[ (i+r)%n ]; |
|
||||
} |
|
||||
} |
|
@ -1,81 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "constants.circom"; |
|
||||
include "sha256compression.circom"; |
|
||||
|
|
||||
template Sha256(nBits) { |
|
||||
signal input in[nBits]; |
|
||||
signal output out[256]; |
|
||||
|
|
||||
var i; |
|
||||
var k; |
|
||||
var nBlocks; |
|
||||
var bitsLastBlock; |
|
||||
|
|
||||
|
|
||||
nBlocks = ((nBits + 64)\512)+1; |
|
||||
|
|
||||
signal paddedIn[nBlocks*512]; |
|
||||
|
|
||||
for (k=0; k<nBits; k++) { |
|
||||
paddedIn[k] <== in[k]; |
|
||||
} |
|
||||
paddedIn[nBits] <== 1; |
|
||||
|
|
||||
for (k=nBits+1; k<nBlocks*512-64; k++) { |
|
||||
paddedIn[k] <== 0; |
|
||||
} |
|
||||
|
|
||||
for (k = 0; k< 64; k++) { |
|
||||
paddedIn[nBlocks*512 - k -1] <== (nBits >> k)&1; |
|
||||
} |
|
||||
|
|
||||
component ha0 = H(0); |
|
||||
component hb0 = H(1); |
|
||||
component hc0 = H(2); |
|
||||
component hd0 = H(3); |
|
||||
component he0 = H(4); |
|
||||
component hf0 = H(5); |
|
||||
component hg0 = H(6); |
|
||||
component hh0 = H(7); |
|
||||
|
|
||||
component sha256compression[nBlocks]; |
|
||||
|
|
||||
for (i=0; i<nBlocks; i++) { |
|
||||
|
|
||||
sha256compression[i] = Sha256compression() ; |
|
||||
|
|
||||
if (i==0) { |
|
||||
for (k=0; k<32; k++ ) { |
|
||||
sha256compression[i].hin[0*32+k] <== ha0.out[k]; |
|
||||
sha256compression[i].hin[1*32+k] <== hb0.out[k]; |
|
||||
sha256compression[i].hin[2*32+k] <== hc0.out[k]; |
|
||||
sha256compression[i].hin[3*32+k] <== hd0.out[k]; |
|
||||
sha256compression[i].hin[4*32+k] <== he0.out[k]; |
|
||||
sha256compression[i].hin[5*32+k] <== hf0.out[k]; |
|
||||
sha256compression[i].hin[6*32+k] <== hg0.out[k]; |
|
||||
sha256compression[i].hin[7*32+k] <== hh0.out[k]; |
|
||||
} |
|
||||
} else { |
|
||||
for (k=0; k<32; k++ ) { |
|
||||
sha256compression[i].hin[32*0+k] <== sha256compression[i-1].out[32*0+31-k]; |
|
||||
sha256compression[i].hin[32*1+k] <== sha256compression[i-1].out[32*1+31-k]; |
|
||||
sha256compression[i].hin[32*2+k] <== sha256compression[i-1].out[32*2+31-k]; |
|
||||
sha256compression[i].hin[32*3+k] <== sha256compression[i-1].out[32*3+31-k]; |
|
||||
sha256compression[i].hin[32*4+k] <== sha256compression[i-1].out[32*4+31-k]; |
|
||||
sha256compression[i].hin[32*5+k] <== sha256compression[i-1].out[32*5+31-k]; |
|
||||
sha256compression[i].hin[32*6+k] <== sha256compression[i-1].out[32*6+31-k]; |
|
||||
sha256compression[i].hin[32*7+k] <== sha256compression[i-1].out[32*7+31-k]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<512; k++) { |
|
||||
sha256compression[i].inp[k] <== paddedIn[i*512+k]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<256; k++) { |
|
||||
out[k] <== sha256compression[nBlocks-1].out[k]; |
|
||||
} |
|
||||
|
|
||||
} |
|
@ -1,91 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "constants.circom"; |
|
||||
include "sha256compression.circom"; |
|
||||
include "../bitify.circom"; |
|
||||
|
|
||||
template Sha256_2() { |
|
||||
signal input a; |
|
||||
signal input b; |
|
||||
signal output out; |
|
||||
|
|
||||
var i; |
|
||||
var k; |
|
||||
|
|
||||
component bits2num = Bits2Num(216); |
|
||||
component num2bits[2]; |
|
||||
|
|
||||
num2bits[0] = Num2Bits(216); |
|
||||
num2bits[1] = Num2Bits(216); |
|
||||
|
|
||||
num2bits[0].in <== a; |
|
||||
num2bits[1].in <== b; |
|
||||
|
|
||||
|
|
||||
component sha256compression = Sha256compression() ; |
|
||||
|
|
||||
component ha0 = H(0); |
|
||||
component hb0 = H(1); |
|
||||
component hc0 = H(2); |
|
||||
component hd0 = H(3); |
|
||||
component he0 = H(4); |
|
||||
component hf0 = H(5); |
|
||||
component hg0 = H(6); |
|
||||
component hh0 = H(7); |
|
||||
|
|
||||
for (k=0; k<32; k++ ) { |
|
||||
sha256compression.hin[0*32+k] <== ha0.out[k]; |
|
||||
sha256compression.hin[1*32+k] <== hb0.out[k]; |
|
||||
sha256compression.hin[2*32+k] <== hc0.out[k]; |
|
||||
sha256compression.hin[3*32+k] <== hd0.out[k]; |
|
||||
sha256compression.hin[4*32+k] <== he0.out[k]; |
|
||||
sha256compression.hin[5*32+k] <== hf0.out[k]; |
|
||||
sha256compression.hin[6*32+k] <== hg0.out[k]; |
|
||||
sha256compression.hin[7*32+k] <== hh0.out[k]; |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<216; i++) { |
|
||||
sha256compression.inp[i] <== num2bits[0].out[215-i]; |
|
||||
sha256compression.inp[i+216] <== num2bits[1].out[215-i]; |
|
||||
} |
|
||||
|
|
||||
sha256compression.inp[432] <== 1; |
|
||||
|
|
||||
for (i=433; i<503; i++) { |
|
||||
sha256compression.inp[i] <== 0; |
|
||||
} |
|
||||
|
|
||||
sha256compression.inp[503] <== 1; |
|
||||
sha256compression.inp[504] <== 1; |
|
||||
sha256compression.inp[505] <== 0; |
|
||||
sha256compression.inp[506] <== 1; |
|
||||
sha256compression.inp[507] <== 1; |
|
||||
sha256compression.inp[508] <== 0; |
|
||||
sha256compression.inp[509] <== 0; |
|
||||
sha256compression.inp[510] <== 0; |
|
||||
sha256compression.inp[511] <== 0; |
|
||||
|
|
||||
for (i=0; i<216; i++) { |
|
||||
bits2num.in[i] <== sha256compression.out[255-i]; |
|
||||
} |
|
||||
|
|
||||
out <== bits2num.out; |
|
||||
} |
|
@ -1,166 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "constants.circom"; |
|
||||
include "t1.circom"; |
|
||||
include "t2.circom"; |
|
||||
include "../binsum.circom"; |
|
||||
include "sigmaplus.circom"; |
|
||||
include "sha256compression_function.circom"; |
|
||||
|
|
||||
|
|
||||
template Sha256compression() { |
|
||||
signal input hin[256]; |
|
||||
signal input inp[512]; |
|
||||
signal output out[256]; |
|
||||
signal a[65][32]; |
|
||||
signal b[65][32]; |
|
||||
signal c[65][32]; |
|
||||
signal d[65][32]; |
|
||||
signal e[65][32]; |
|
||||
signal f[65][32]; |
|
||||
signal g[65][32]; |
|
||||
signal h[65][32]; |
|
||||
signal w[64][32]; |
|
||||
|
|
||||
|
|
||||
var outCalc[256] = sha256compression(hin, inp); |
|
||||
|
|
||||
var i; |
|
||||
for (i=0; i<256; i++) out[i] <-- outCalc[i]; |
|
||||
|
|
||||
component sigmaPlus[48]; |
|
||||
for (i=0; i<48; i++) sigmaPlus[i] = SigmaPlus(); |
|
||||
|
|
||||
component ct_k[64]; |
|
||||
for (i=0; i<64; i++) ct_k[i] = K(i); |
|
||||
|
|
||||
component t1[64]; |
|
||||
for (i=0; i<64; i++) t1[i] = T1(); |
|
||||
|
|
||||
component t2[64]; |
|
||||
for (i=0; i<64; i++) t2[i] = T2(); |
|
||||
|
|
||||
component suma[64]; |
|
||||
for (i=0; i<64; i++) suma[i] = BinSum(32, 2); |
|
||||
|
|
||||
component sume[64]; |
|
||||
for (i=0; i<64; i++) sume[i] = BinSum(32, 2); |
|
||||
|
|
||||
component fsum[8]; |
|
||||
for (i=0; i<8; i++) fsum[i] = BinSum(32, 2); |
|
||||
|
|
||||
var k; |
|
||||
var t; |
|
||||
|
|
||||
for (t=0; t<64; t++) { |
|
||||
if (t<16) { |
|
||||
for (k=0; k<32; k++) { |
|
||||
w[t][k] <== inp[t*32+31-k]; |
|
||||
} |
|
||||
} else { |
|
||||
for (k=0; k<32; k++) { |
|
||||
sigmaPlus[t-16].in2[k] <== w[t-2][k]; |
|
||||
sigmaPlus[t-16].in7[k] <== w[t-7][k]; |
|
||||
sigmaPlus[t-16].in15[k] <== w[t-15][k]; |
|
||||
sigmaPlus[t-16].in16[k] <== w[t-16][k]; |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
w[t][k] <== sigmaPlus[t-16].out[k]; |
|
||||
} |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++ ) { |
|
||||
a[0][k] <== hin[k]; |
|
||||
b[0][k] <== hin[32*1 + k]; |
|
||||
c[0][k] <== hin[32*2 + k]; |
|
||||
d[0][k] <== hin[32*3 + k]; |
|
||||
e[0][k] <== hin[32*4 + k]; |
|
||||
f[0][k] <== hin[32*5 + k]; |
|
||||
g[0][k] <== hin[32*6 + k]; |
|
||||
h[0][k] <== hin[32*7 + k]; |
|
||||
} |
|
||||
|
|
||||
for (t = 0; t<64; t++) { |
|
||||
for (k=0; k<32; k++) { |
|
||||
t1[t].h[k] <== h[t][k]; |
|
||||
t1[t].e[k] <== e[t][k]; |
|
||||
t1[t].f[k] <== f[t][k]; |
|
||||
t1[t].g[k] <== g[t][k]; |
|
||||
t1[t].k[k] <== ct_k[t].out[k]; |
|
||||
t1[t].w[k] <== w[t][k]; |
|
||||
|
|
||||
t2[t].a[k] <== a[t][k]; |
|
||||
t2[t].b[k] <== b[t][k]; |
|
||||
t2[t].c[k] <== c[t][k]; |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
sume[t].in[0][k] <== d[t][k]; |
|
||||
sume[t].in[1][k] <== t1[t].out[k]; |
|
||||
|
|
||||
suma[t].in[0][k] <== t1[t].out[k]; |
|
||||
suma[t].in[1][k] <== t2[t].out[k]; |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
h[t+1][k] <== g[t][k]; |
|
||||
g[t+1][k] <== f[t][k]; |
|
||||
f[t+1][k] <== e[t][k]; |
|
||||
e[t+1][k] <== sume[t].out[k]; |
|
||||
d[t+1][k] <== c[t][k]; |
|
||||
c[t+1][k] <== b[t][k]; |
|
||||
b[t+1][k] <== a[t][k]; |
|
||||
a[t+1][k] <== suma[t].out[k]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
fsum[0].in[0][k] <== hin[32*0+k]; |
|
||||
fsum[0].in[1][k] <== a[64][k]; |
|
||||
fsum[1].in[0][k] <== hin[32*1+k]; |
|
||||
fsum[1].in[1][k] <== b[64][k]; |
|
||||
fsum[2].in[0][k] <== hin[32*2+k]; |
|
||||
fsum[2].in[1][k] <== c[64][k]; |
|
||||
fsum[3].in[0][k] <== hin[32*3+k]; |
|
||||
fsum[3].in[1][k] <== d[64][k]; |
|
||||
fsum[4].in[0][k] <== hin[32*4+k]; |
|
||||
fsum[4].in[1][k] <== e[64][k]; |
|
||||
fsum[5].in[0][k] <== hin[32*5+k]; |
|
||||
fsum[5].in[1][k] <== f[64][k]; |
|
||||
fsum[6].in[0][k] <== hin[32*6+k]; |
|
||||
fsum[6].in[1][k] <== g[64][k]; |
|
||||
fsum[7].in[0][k] <== hin[32*7+k]; |
|
||||
fsum[7].in[1][k] <== h[64][k]; |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
out[31-k] === fsum[0].out[k]; |
|
||||
out[32+31-k] === fsum[1].out[k]; |
|
||||
out[64+31-k] === fsum[2].out[k]; |
|
||||
out[96+31-k] === fsum[3].out[k]; |
|
||||
out[128+31-k] === fsum[4].out[k]; |
|
||||
out[160+31-k] === fsum[5].out[k]; |
|
||||
out[192+31-k] === fsum[6].out[k]; |
|
||||
out[224+31-k] === fsum[7].out[k]; |
|
||||
} |
|
||||
} |
|
@ -1,112 +0,0 @@ |
|||||
// signal input hin[256]; |
|
||||
// signal input inp[512]; |
|
||||
// signal output out[256]; |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
function rrot(x, n) { |
|
||||
return ((x >> n) | (x << (32-n))) & 0xFFFFFFFF; |
|
||||
} |
|
||||
|
|
||||
function bsigma0(x) { |
|
||||
return rrot(x,2) ^ rrot(x,13) ^ rrot(x,22); |
|
||||
} |
|
||||
|
|
||||
function bsigma1(x) { |
|
||||
return rrot(x,6) ^ rrot(x,11) ^ rrot(x,25); |
|
||||
} |
|
||||
|
|
||||
function ssigma0(x) { |
|
||||
return rrot(x,7) ^ rrot(x,18) ^ (x >> 3); |
|
||||
} |
|
||||
|
|
||||
function ssigma1(x) { |
|
||||
return rrot(x,17) ^ rrot(x,19) ^ (x >> 10); |
|
||||
} |
|
||||
|
|
||||
function Maj(x, y, z) { |
|
||||
return (x&y) ^ (x&z) ^ (y&z); |
|
||||
} |
|
||||
|
|
||||
function Ch(x, y, z) { |
|
||||
return (x & y) ^ ((0xFFFFFFFF ^x) & z); |
|
||||
} |
|
||||
|
|
||||
function sha256K(i) { |
|
||||
var k[64] = [ |
|
||||
0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5, |
|
||||
0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174, |
|
||||
0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da, |
|
||||
0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967, |
|
||||
0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85, |
|
||||
0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070, |
|
||||
0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3, |
|
||||
0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2 |
|
||||
]; |
|
||||
return k[i]; |
|
||||
} |
|
||||
|
|
||||
function sha256compression(hin, inp) { |
|
||||
var H[8]; |
|
||||
var a; |
|
||||
var b; |
|
||||
var c; |
|
||||
var d; |
|
||||
var e; |
|
||||
var f; |
|
||||
var g; |
|
||||
var h; |
|
||||
var out[256]; |
|
||||
for (var i=0; i<8; i++) { |
|
||||
H[i] = 0; |
|
||||
for (var j=0; j<32; j++) { |
|
||||
H[i] += hin[i*32+j] << j; |
|
||||
} |
|
||||
} |
|
||||
a=H[0]; |
|
||||
b=H[1]; |
|
||||
c=H[2]; |
|
||||
d=H[3]; |
|
||||
e=H[4]; |
|
||||
f=H[5]; |
|
||||
g=H[6]; |
|
||||
h=H[7]; |
|
||||
var w[64]; |
|
||||
var T1; |
|
||||
var T2; |
|
||||
for (var i=0; i<64; i++) { |
|
||||
if (i<16) { |
|
||||
w[i]=0; |
|
||||
for (var j=0; j<32; j++) { |
|
||||
w[i] += inp[i*32+31-j]<<j; |
|
||||
} |
|
||||
} else { |
|
||||
w[i] = (ssigma1(w[i-2]) + w[i-7] + ssigma0(w[i-15]) + w[i-16]) & 0xFFFFFFFF; |
|
||||
} |
|
||||
T1 = (h + bsigma1(e) + Ch(e,f,g) + sha256K(i) + w[i]) & 0xFFFFFFFF; |
|
||||
T2 = (bsigma0(a) + Maj(a,b,c)) & 0xFFFFFFFF; |
|
||||
|
|
||||
h=g; |
|
||||
g=f; |
|
||||
f=e; |
|
||||
e=(d+T1) & 0xFFFFFFFF; |
|
||||
d=c; |
|
||||
c=b; |
|
||||
b=a; |
|
||||
a=(T1+T2) & 0xFFFFFFFF; |
|
||||
|
|
||||
} |
|
||||
H[0] = H[0] + a; |
|
||||
H[1] = H[1] + b; |
|
||||
H[2] = H[2] + c; |
|
||||
H[3] = H[3] + d; |
|
||||
H[4] = H[4] + e; |
|
||||
H[5] = H[5] + f; |
|
||||
H[6] = H[6] + g; |
|
||||
H[7] = H[7] + h; |
|
||||
for (var i=0; i<8; i++) { |
|
||||
for (var j=0; j<32; j++) { |
|
||||
out[i*32+31-j] = (H[i] >> j) & 1; |
|
||||
} |
|
||||
} |
|
||||
return out; |
|
||||
} |
|
@ -1,33 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template ShR(n, r) { |
|
||||
signal input in[n]; |
|
||||
signal output out[n]; |
|
||||
|
|
||||
for (var i=0; i<n; i++) { |
|
||||
if (i+r >= n) { |
|
||||
out[i] <== 0; |
|
||||
} else { |
|
||||
out[i] <== in[ i+r ]; |
|
||||
} |
|
||||
} |
|
||||
} |
|
||||
|
|
@ -1,77 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "xor3.circom"; |
|
||||
include "rotate.circom"; |
|
||||
include "shift.circom"; |
|
||||
|
|
||||
template SmallSigma(ra, rb, rc) { |
|
||||
signal input in[32]; |
|
||||
signal output out[32]; |
|
||||
var k; |
|
||||
|
|
||||
component rota = RotR(32, ra); |
|
||||
component rotb = RotR(32, rb); |
|
||||
component shrc = ShR(32, rc); |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
rota.in[k] <== in[k]; |
|
||||
rotb.in[k] <== in[k]; |
|
||||
shrc.in[k] <== in[k]; |
|
||||
} |
|
||||
|
|
||||
component xor3 = Xor3(32); |
|
||||
for (k=0; k<32; k++) { |
|
||||
xor3.a[k] <== rota.out[k]; |
|
||||
xor3.b[k] <== rotb.out[k]; |
|
||||
xor3.c[k] <== shrc.out[k]; |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
out[k] <== xor3.out[k]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
template BigSigma(ra, rb, rc) { |
|
||||
signal input in[32]; |
|
||||
signal output out[32]; |
|
||||
var k; |
|
||||
|
|
||||
component rota = RotR(32, ra); |
|
||||
component rotb = RotR(32, rb); |
|
||||
component rotc = RotR(32, rc); |
|
||||
for (k=0; k<32; k++) { |
|
||||
rota.in[k] <== in[k]; |
|
||||
rotb.in[k] <== in[k]; |
|
||||
rotc.in[k] <== in[k]; |
|
||||
} |
|
||||
|
|
||||
component xor3 = Xor3(32); |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
xor3.a[k] <== rota.out[k]; |
|
||||
xor3.b[k] <== rotb.out[k]; |
|
||||
xor3.c[k] <== rotc.out[k]; |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
out[k] <== xor3.out[k]; |
|
||||
} |
|
||||
} |
|
@ -1,50 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../binsum.circom"; |
|
||||
include "sigma.circom"; |
|
||||
|
|
||||
template SigmaPlus() { |
|
||||
signal input in2[32]; |
|
||||
signal input in7[32]; |
|
||||
signal input in15[32]; |
|
||||
signal input in16[32]; |
|
||||
signal output out[32]; |
|
||||
var k; |
|
||||
|
|
||||
component sigma1 = SmallSigma(17,19,10); |
|
||||
component sigma0 = SmallSigma(7, 18, 3); |
|
||||
for (k=0; k<32; k++) { |
|
||||
sigma1.in[k] <== in2[k]; |
|
||||
sigma0.in[k] <== in15[k]; |
|
||||
} |
|
||||
|
|
||||
component sum = BinSum(32, 4); |
|
||||
for (k=0; k<32; k++) { |
|
||||
sum.in[0][k] <== sigma1.out[k]; |
|
||||
sum.in[1][k] <== in7[k]; |
|
||||
sum.in[2][k] <== sigma0.out[k]; |
|
||||
sum.in[3][k] <== in16[k]; |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
out[k] <== sum.out[k]; |
|
||||
} |
|
||||
} |
|
@ -1,58 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../binsum.circom"; |
|
||||
include "sigma.circom"; |
|
||||
include "ch.circom"; |
|
||||
|
|
||||
template T1() { |
|
||||
signal input h[32]; |
|
||||
signal input e[32]; |
|
||||
signal input f[32]; |
|
||||
signal input g[32]; |
|
||||
signal input k[32]; |
|
||||
signal input w[32]; |
|
||||
signal output out[32]; |
|
||||
|
|
||||
var ki; |
|
||||
|
|
||||
component ch = Ch_t(32); |
|
||||
component bigsigma1 = BigSigma(6, 11, 25); |
|
||||
|
|
||||
for (ki=0; ki<32; ki++) { |
|
||||
bigsigma1.in[ki] <== e[ki]; |
|
||||
ch.a[ki] <== e[ki]; |
|
||||
ch.b[ki] <== f[ki]; |
|
||||
ch.c[ki] <== g[ki]; |
|
||||
} |
|
||||
|
|
||||
component sum = BinSum(32, 5); |
|
||||
for (ki=0; ki<32; ki++) { |
|
||||
sum.in[0][ki] <== h[ki]; |
|
||||
sum.in[1][ki] <== bigsigma1.out[ki]; |
|
||||
sum.in[2][ki] <== ch.out[ki]; |
|
||||
sum.in[3][ki] <== k[ki]; |
|
||||
sum.in[4][ki] <== w[ki]; |
|
||||
} |
|
||||
|
|
||||
for (ki=0; ki<32; ki++) { |
|
||||
out[ki] <== sum.out[ki]; |
|
||||
} |
|
||||
} |
|
@ -1,51 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../binsum.circom"; |
|
||||
include "sigma.circom"; |
|
||||
include "maj.circom"; |
|
||||
|
|
||||
template T2() { |
|
||||
signal input a[32]; |
|
||||
signal input b[32]; |
|
||||
signal input c[32]; |
|
||||
signal output out[32]; |
|
||||
var k; |
|
||||
|
|
||||
component bigsigma0 = BigSigma(2, 13, 22); |
|
||||
component maj = Maj_t(32); |
|
||||
for (k=0; k<32; k++) { |
|
||||
bigsigma0.in[k] <== a[k]; |
|
||||
maj.a[k] <== a[k]; |
|
||||
maj.b[k] <== b[k]; |
|
||||
maj.c[k] <== c[k]; |
|
||||
} |
|
||||
|
|
||||
component sum = BinSum(32, 2); |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
sum.in[0][k] <== bigsigma0.out[k]; |
|
||||
sum.in[1][k] <== maj.out[k]; |
|
||||
} |
|
||||
|
|
||||
for (k=0; k<32; k++) { |
|
||||
out[k] <== sum.out[k]; |
|
||||
} |
|
||||
} |
|
@ -1,45 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* Xor3 function for sha256 |
|
||||
|
|
||||
out = a ^ b ^ c => |
|
||||
|
|
||||
out = a+b+c - 2*a*b - 2*a*c - 2*b*c + 4*a*b*c => |
|
||||
|
|
||||
out = a*( 1 - 2*b - 2*c + 4*b*c ) + b + c - 2*b*c => |
|
||||
|
|
||||
mid = b*c |
|
||||
out = a*( 1 - 2*b -2*c + 4*mid ) + b + c - 2 * mid |
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template Xor3(n) { |
|
||||
signal input a[n]; |
|
||||
signal input b[n]; |
|
||||
signal input c[n]; |
|
||||
signal output out[n]; |
|
||||
signal mid[n]; |
|
||||
|
|
||||
for (var k=0; k<n; k++) { |
|
||||
mid[k] <== b[k]*c[k]; |
|
||||
out[k] <== a[k] * (1 -2*b[k] -2*c[k] +4*mid[k]) + b[k] + c[k] -2*mid[k]; |
|
||||
} |
|
||||
} |
|
@ -1,36 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "compconstant.circom"; |
|
||||
|
|
||||
template Sign() { |
|
||||
signal input in[254]; |
|
||||
signal output sign; |
|
||||
|
|
||||
component comp = CompConstant(10944121435919637611123202872628637544274182200208017171849102093287904247808); |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
for (i=0; i<254; i++) { |
|
||||
comp.in[i] <== in[i]; |
|
||||
} |
|
||||
|
|
||||
sign <== comp.out; |
|
||||
} |
|
@ -1,58 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../mimc.circom"; |
|
||||
|
|
||||
|
|
||||
/* |
|
||||
Hash1 = H(1 | key | value) |
|
||||
*/ |
|
||||
|
|
||||
template SMTHash1() { |
|
||||
signal input key; |
|
||||
signal input value; |
|
||||
signal output out; |
|
||||
|
|
||||
component h = MultiMiMC7(2, 91); // Constant |
|
||||
h.in[0] <== key; |
|
||||
h.in[1] <== value; |
|
||||
h.k <== 1; |
|
||||
|
|
||||
out <== h.out; |
|
||||
} |
|
||||
|
|
||||
/* |
|
||||
This component is used to create the 2 nodes. |
|
||||
|
|
||||
Hash2 = H(Hl | Hr) |
|
||||
*/ |
|
||||
|
|
||||
template SMTHash2() { |
|
||||
signal input L; |
|
||||
signal input R; |
|
||||
signal output out; |
|
||||
|
|
||||
component h = MultiMiMC7(2, 91); // Constant |
|
||||
h.in[0] <== L; |
|
||||
h.in[1] <== R; |
|
||||
h.k <== 0; |
|
||||
|
|
||||
out <== h.out; |
|
||||
} |
|
@ -1,57 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../poseidon.circom"; |
|
||||
|
|
||||
|
|
||||
/* |
|
||||
Hash1 = H(1 | key | value) |
|
||||
*/ |
|
||||
|
|
||||
template SMTHash1() { |
|
||||
signal input key; |
|
||||
signal input value; |
|
||||
signal output out; |
|
||||
|
|
||||
component h = Poseidon(3); // Constant |
|
||||
h.inputs[0] <== key; |
|
||||
h.inputs[1] <== value; |
|
||||
h.inputs[2] <== 1; |
|
||||
|
|
||||
out <== h.out; |
|
||||
} |
|
||||
|
|
||||
/* |
|
||||
This component is used to create the 2 nodes. |
|
||||
|
|
||||
Hash2 = H(Hl | Hr) |
|
||||
*/ |
|
||||
|
|
||||
template SMTHash2() { |
|
||||
signal input L; |
|
||||
signal input R; |
|
||||
signal output out; |
|
||||
|
|
||||
component h = Poseidon(2); // Constant |
|
||||
h.inputs[0] <== L; |
|
||||
h.inputs[1] <== R; |
|
||||
|
|
||||
out <== h.out; |
|
||||
} |
|
@ -1,103 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
|
|
||||
This component finds the level where the oldInsert is done. |
|
||||
The rules are: |
|
||||
|
|
||||
levIns[i] == 1 if its level and all the child levels have a sibling of 0 and |
|
||||
the parent level has a sibling != 0. Considere that the root level always has |
|
||||
a parent with a sibling != 0. |
|
||||
|
|
||||
|
|
||||
┌──────────────┐ |
|
||||
│ │ |
|
||||
│ │───▶ levIns[0] <== (1-done[i]) |
|
||||
│ │ |
|
||||
└──────────────┘ |
|
||||
▲ |
|
||||
│ |
|
||||
│ |
|
||||
done[0] |
|
||||
|
|
||||
|
|
||||
|
|
||||
done[i-1] <== levIns[i] + done[i] |
|
||||
▲ |
|
||||
│ |
|
||||
│ |
|
||||
┌───────────┐ ┌──────────────┐ |
|
||||
│ │ │ │ |
|
||||
sibling[i-1]───▶│IsZero[i-1]│─▶│ │───▶ levIns[i] <== (1-done[i])*(1-isZero[i-1].out) |
|
||||
│ │ │ │ |
|
||||
└───────────┘ └──────────────┘ |
|
||||
▲ |
|
||||
│ |
|
||||
│ |
|
||||
done[i] |
|
||||
|
|
||||
|
|
||||
|
|
||||
done[n-2] <== levIns[n-1] |
|
||||
▲ |
|
||||
│ |
|
||||
│ |
|
||||
┌───────────┐ ┌──────────────┐ |
|
||||
│ │ │ │ |
|
||||
sibling[n-2]───▶│IsZero[n-2]│─▶│ │────▶ levIns[n-1] <== (1-isZero[n-2].out) |
|
||||
│ │ │ │ |
|
||||
└───────────┘ └──────────────┘ |
|
||||
|
|
||||
┌───────────┐ |
|
||||
│ │ |
|
||||
sibling[n-1]───▶│IsZero[n-1]│────▶ === 0 |
|
||||
│ │ |
|
||||
└───────────┘ |
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template SMTLevIns(nLevels) { |
|
||||
signal input enabled; |
|
||||
signal input siblings[nLevels]; |
|
||||
signal output levIns[nLevels]; |
|
||||
signal done[nLevels-1]; // Indicates if the insLevel has aready been detected. |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
component isZero[nLevels]; |
|
||||
|
|
||||
for (i=0; i<nLevels; i++) { |
|
||||
isZero[i] = IsZero(); |
|
||||
isZero[i].in <== siblings[i]; |
|
||||
} |
|
||||
|
|
||||
// The last level must always have a sibling of 0. If not, then it cannot be inserted. |
|
||||
(isZero[nLevels-1].out - 1) * enabled === 0; |
|
||||
|
|
||||
levIns[nLevels-1] <== (1-isZero[nLevels-2].out); |
|
||||
done[nLevels-2] <== levIns[nLevels-1]; |
|
||||
for (i=nLevels-2; i>0; i--) { |
|
||||
levIns[i] <== (1-done[i])*(1-isZero[i-1].out); |
|
||||
done[i-1] <== levIns[i] + done[i]; |
|
||||
} |
|
||||
|
|
||||
levIns[0] <== (1-done[0]); |
|
||||
} |
|
@ -1,261 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/*************************************************************************************************** |
|
||||
|
|
||||
SMTProcessor: Sparse Merkle Tree processor is a component to verify an insert/update/delete elements |
|
||||
into the Sparse Merkle tree. |
|
||||
|
|
||||
|
|
||||
Insert to an empty leaf |
|
||||
======================= |
|
||||
|
|
||||
STATE OLD STATE NEW STATE |
|
||||
===== ========= ========= |
|
||||
|
|
||||
oldRoot newRoot |
|
||||
▲ ▲ |
|
||||
│ │ |
|
||||
┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ |
|
||||
top │Sibling├────▶┃ Hash ┃◀─┐ │Sibling├────▶┃ Hash ┃◀─┐ |
|
||||
└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │ |
|
||||
│ │ |
|
||||
│ │ |
|
||||
┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ ┌───────┐ |
|
||||
top ┌─────▶┃ Hash ┃◀──┤Sibling│ ┌─────▶┃ Hash ┃◀──┤Sibling│ |
|
||||
│ ┗━━━━━━━┛ └───────┘ │ ┗━━━━━━━┛ └───────┘ |
|
||||
│ │ |
|
||||
│ │ |
|
||||
┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ |
|
||||
top │Sibling├──▶┃ Hash ┃◀─────┐ │Sibling├──▶┃ Hash ┃◀─────┐ |
|
||||
└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │ |
|
||||
│ │ |
|
||||
│ │ |
|
||||
┌────┴────┐ ┌────┴────┐ |
|
||||
old0 │ 0 │ │New1Leaf │ |
|
||||
└─────────┘ └─────────┘ |
|
||||
|
|
||||
|
|
||||
┏━━━━━━━┓ ┏━━━━━━━┓ |
|
||||
na ┃ Hash ┃ ┃ Hash ┃ |
|
||||
┗━━━━━━━┛ ┗━━━━━━━┛ |
|
||||
|
|
||||
|
|
||||
┏━━━━━━━┓ ┏━━━━━━━┓ |
|
||||
na ┃ Hash ┃ ┃ Hash ┃ |
|
||||
┗━━━━━━━┛ ┗━━━━━━━┛ |
|
||||
|
|
||||
|
|
||||
|
|
||||
Insert to a used leaf. |
|
||||
===================== |
|
||||
|
|
||||
STATE OLD STATE NEW STATE |
|
||||
===== ========= ========= |
|
||||
|
|
||||
|
|
||||
oldRoot newRoot |
|
||||
▲ ▲ |
|
||||
│ │ |
|
||||
┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ |
|
||||
top │Sibling├────▶┃ Hash ┃◀─┐ │Sibling├────▶┃ Hash ┃◀─┐ |
|
||||
└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │ |
|
||||
│ │ |
|
||||
│ │ |
|
||||
┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ ┌───────┐ |
|
||||
top ┌─────▶┃ Hash ┃◀──┤Sibling│ ┌─────▶┃ Hash ┃◀──┤Sibling│ |
|
||||
│ ┗━━━━━━━┛ └───────┘ │ ┗━━━━━━━┛ └───────┘ |
|
||||
│ │ |
|
||||
│ │ |
|
||||
┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ |
|
||||
top │Sibling├──▶┃ Hash ┃◀─────┐ │Sibling├──▶┃ Hash ┃◀─────┐ |
|
||||
└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │ |
|
||||
│ │ |
|
||||
│ │ |
|
||||
┌────┴────┐ ┏━━━┻━━━┓ ┌───────┐ |
|
||||
bot │Old1Leaf │ ┌─────▶┃ Hash ┃◀──┼─ 0 │ |
|
||||
└─────────┘ │ ┗━━━━━━━┛ └───────┘ |
|
||||
│ |
|
||||
│ |
|
||||
┏━━━━━━━┓ ┌───────┐ ┏━━━┻━━━┓ |
|
||||
bot ┃ Hash ┃ │ 0 ─┼──▶┃ Hash ┃◀─────┐ |
|
||||
┗━━━━━━━┛ └───────┘ ┗━━━━━━━┛ │ |
|
||||
│ |
|
||||
│ |
|
||||
┏━━━━━━━┓ ┏━━━┻━━━┓ ┌───────┐ |
|
||||
bot ┃ Hash ┃ ┌─────▶┃ Hash ┃◀──│ 0 │ |
|
||||
┗━━━━━━━┛ │ ┗━━━━━━━┛ └───────┘ |
|
||||
│ |
|
||||
│ |
|
||||
┏━━━━━━━┓ ┌─────────┐ ┏━━━┻━━━┓ ┌─────────┐ |
|
||||
new1 ┃ Hash ┃ │Old1Leaf ├──▶┃ Hash ┃◀──│New1Leaf │ |
|
||||
┗━━━━━━━┛ └─────────┘ ┗━━━━━━━┛ └─────────┘ |
|
||||
|
|
||||
|
|
||||
┏━━━━━━━┓ ┏━━━━━━━┓ |
|
||||
na ┃ Hash ┃ ┃ Hash ┃ |
|
||||
┗━━━━━━━┛ ┗━━━━━━━┛ |
|
||||
|
|
||||
|
|
||||
┏━━━━━━━┓ ┏━━━━━━━┓ |
|
||||
na ┃ Hash ┃ ┃ Hash ┃ |
|
||||
┗━━━━━━━┛ ┗━━━━━━━┛ |
|
||||
|
|
||||
|
|
||||
Fnction |
|
||||
fnc[0] fnc[1] |
|
||||
0 0 NOP |
|
||||
0 1 UPDATE |
|
||||
1 0 INSERT |
|
||||
1 1 DELETE |
|
||||
|
|
||||
|
|
||||
***************************************************************************************************/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../gates.circom"; |
|
||||
include "../bitify.circom"; |
|
||||
include "../comparators.circom"; |
|
||||
include "../switcher.circom"; |
|
||||
include "smtlevins.circom"; |
|
||||
include "smtprocessorlevel.circom"; |
|
||||
include "smtprocessorsm.circom"; |
|
||||
include "smthash_poseidon.circom"; |
|
||||
|
|
||||
template SMTProcessor(nLevels) { |
|
||||
signal input oldRoot; |
|
||||
signal output newRoot; |
|
||||
signal input siblings[nLevels]; |
|
||||
signal input oldKey; |
|
||||
signal input oldValue; |
|
||||
signal input isOld0; |
|
||||
signal input newKey; |
|
||||
signal input newValue; |
|
||||
signal input fnc[2]; |
|
||||
|
|
||||
signal enabled; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
enabled <== fnc[0] + fnc[1] - fnc[0]*fnc[1]; |
|
||||
|
|
||||
component hash1Old = SMTHash1(); |
|
||||
hash1Old.key <== oldKey; |
|
||||
hash1Old.value <== oldValue; |
|
||||
|
|
||||
component hash1New = SMTHash1(); |
|
||||
hash1New.key <== newKey; |
|
||||
hash1New.value <== newValue; |
|
||||
|
|
||||
component n2bOld = Num2Bits_strict(); |
|
||||
component n2bNew = Num2Bits_strict(); |
|
||||
|
|
||||
n2bOld.in <== oldKey; |
|
||||
n2bNew.in <== newKey; |
|
||||
|
|
||||
component smtLevIns = SMTLevIns(nLevels); |
|
||||
for (i=0; i<nLevels; i++) smtLevIns.siblings[i] <== siblings[i]; |
|
||||
smtLevIns.enabled <== enabled; |
|
||||
|
|
||||
component xors[nLevels]; |
|
||||
for (i=0; i<nLevels; i++) { |
|
||||
xors[i] = XOR(); |
|
||||
xors[i].a <== n2bOld.out[i]; |
|
||||
xors[i].b <== n2bNew.out[i]; |
|
||||
} |
|
||||
|
|
||||
component sm[nLevels]; |
|
||||
for (i=0; i<nLevels; i++) { |
|
||||
sm[i] = SMTProcessorSM(); |
|
||||
if (i==0) { |
|
||||
sm[i].prev_top <== enabled; |
|
||||
sm[i].prev_old0 <== 0; |
|
||||
sm[i].prev_bot <== 0; |
|
||||
sm[i].prev_new1 <== 0; |
|
||||
sm[i].prev_na <== 1-enabled; |
|
||||
sm[i].prev_upd <== 0; |
|
||||
} else { |
|
||||
sm[i].prev_top <== sm[i-1].st_top; |
|
||||
sm[i].prev_old0 <== sm[i-1].st_old0; |
|
||||
sm[i].prev_bot <== sm[i-1].st_bot; |
|
||||
sm[i].prev_new1 <== sm[i-1].st_new1; |
|
||||
sm[i].prev_na <== sm[i-1].st_na; |
|
||||
sm[i].prev_upd <== sm[i-1].st_upd; |
|
||||
} |
|
||||
sm[i].is0 <== isOld0; |
|
||||
sm[i].xor <== xors[i].out; |
|
||||
sm[i].fnc[0] <== fnc[0]; |
|
||||
sm[i].fnc[1] <== fnc[1]; |
|
||||
sm[i].levIns <== smtLevIns.levIns[i]; |
|
||||
} |
|
||||
sm[nLevels-1].st_na + sm[nLevels-1].st_new1 + sm[nLevels-1].st_old0 +sm[nLevels-1].st_upd === 1; |
|
||||
|
|
||||
component levels[nLevels]; |
|
||||
for (i=nLevels-1; i != -1; i--) { |
|
||||
levels[i] = SMTProcessorLevel(); |
|
||||
|
|
||||
levels[i].st_top <== sm[i].st_top; |
|
||||
levels[i].st_old0 <== sm[i].st_old0; |
|
||||
levels[i].st_bot <== sm[i].st_bot; |
|
||||
levels[i].st_new1 <== sm[i].st_new1; |
|
||||
levels[i].st_na <== sm[i].st_na; |
|
||||
levels[i].st_upd <== sm[i].st_upd; |
|
||||
|
|
||||
levels[i].sibling <== siblings[i]; |
|
||||
levels[i].old1leaf <== hash1Old.out; |
|
||||
levels[i].new1leaf <== hash1New.out; |
|
||||
|
|
||||
levels[i].newlrbit <== n2bNew.out[i]; |
|
||||
if (i==nLevels-1) { |
|
||||
levels[i].oldChild <== 0; |
|
||||
levels[i].newChild <== 0; |
|
||||
} else { |
|
||||
levels[i].oldChild <== levels[i+1].oldRoot; |
|
||||
levels[i].newChild <== levels[i+1].newRoot; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
component topSwitcher = Switcher(); |
|
||||
|
|
||||
topSwitcher.sel <== fnc[0]*fnc[1]; |
|
||||
topSwitcher.L <== levels[0].oldRoot; |
|
||||
topSwitcher.R <== levels[0].newRoot; |
|
||||
|
|
||||
component checkOldInput = ForceEqualIfEnabled(); |
|
||||
checkOldInput.enabled <== enabled; |
|
||||
checkOldInput.in[0] <== oldRoot; |
|
||||
checkOldInput.in[1] <== topSwitcher.outL; |
|
||||
|
|
||||
newRoot <== enabled * (topSwitcher.outR - oldRoot) + oldRoot; |
|
||||
|
|
||||
// topSwitcher.outL === oldRoot*enabled; |
|
||||
// topSwitcher.outR === newRoot*enabled; |
|
||||
|
|
||||
// Ckeck keys are equal if updating |
|
||||
component areKeyEquals = IsEqual(); |
|
||||
areKeyEquals.in[0] <== oldKey; |
|
||||
areKeyEquals.in[1] <== newKey; |
|
||||
|
|
||||
component keysOk = MultiAND(3); |
|
||||
keysOk.in[0] <== 1-fnc[0]; |
|
||||
keysOk.in[1] <== fnc[1]; |
|
||||
keysOk.in[2] <== 1-areKeyEquals.out; |
|
||||
|
|
||||
keysOk.out === 0; |
|
||||
} |
|
@ -1,95 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/****** |
|
||||
|
|
||||
SMTProcessorLevel |
|
||||
|
|
||||
This circuit has 2 hash |
|
||||
|
|
||||
Outputs according to the state. |
|
||||
|
|
||||
State oldRoot newRoot |
|
||||
===== ======= ======= |
|
||||
top H'(oldChild, sibling) H'(newChild, sibling) |
|
||||
old0 0 new1leaf |
|
||||
bot old1leaf H'(newChild, 0) |
|
||||
new1 old1leaf H'(new1leaf, old1leaf) |
|
||||
na 0 0 |
|
||||
|
|
||||
upd old1leaf new1leaf |
|
||||
|
|
||||
H' is the Hash function with the inputs shifted acordingly. |
|
||||
|
|
||||
*****/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
|
|
||||
template SMTProcessorLevel() { |
|
||||
signal input st_top; |
|
||||
signal input st_old0; |
|
||||
signal input st_bot; |
|
||||
signal input st_new1; |
|
||||
signal input st_na; |
|
||||
signal input st_upd; |
|
||||
|
|
||||
signal output oldRoot; |
|
||||
signal output newRoot; |
|
||||
signal input sibling; |
|
||||
signal input old1leaf; |
|
||||
signal input new1leaf; |
|
||||
signal input newlrbit; |
|
||||
signal input oldChild; |
|
||||
signal input newChild; |
|
||||
|
|
||||
signal aux[4]; |
|
||||
|
|
||||
component oldProofHash = SMTHash2(); |
|
||||
component newProofHash = SMTHash2(); |
|
||||
|
|
||||
component oldSwitcher = Switcher(); |
|
||||
component newSwitcher = Switcher(); |
|
||||
|
|
||||
// Old side |
|
||||
|
|
||||
oldSwitcher.L <== oldChild; |
|
||||
oldSwitcher.R <== sibling; |
|
||||
|
|
||||
oldSwitcher.sel <== newlrbit; |
|
||||
oldProofHash.L <== oldSwitcher.outL; |
|
||||
oldProofHash.R <== oldSwitcher.outR; |
|
||||
|
|
||||
aux[0] <== old1leaf * (st_bot + st_new1 + st_upd); |
|
||||
oldRoot <== aux[0] + oldProofHash.out * st_top; |
|
||||
|
|
||||
// New side |
|
||||
|
|
||||
aux[1] <== newChild * ( st_top + st_bot); |
|
||||
newSwitcher.L <== aux[1] + new1leaf*st_new1; |
|
||||
|
|
||||
aux[2] <== sibling*st_top; |
|
||||
newSwitcher.R <== aux[2] + old1leaf*st_new1; |
|
||||
|
|
||||
newSwitcher.sel <== newlrbit; |
|
||||
newProofHash.L <== newSwitcher.outL; |
|
||||
newProofHash.R <== newSwitcher.outR; |
|
||||
|
|
||||
aux[3] <== newProofHash.out * (st_top + st_bot + st_new1); |
|
||||
newRoot <== aux[3] + new1leaf * (st_old0 + st_upd); |
|
||||
} |
|
@ -1,165 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/*************************************************************************************************** |
|
||||
Each level on a SMTProcessor has a state. |
|
||||
|
|
||||
The state of the level depends on the state of te botom level and on `xor` and |
|
||||
`is0` signals. |
|
||||
|
|
||||
`isOldLev` 1 when is the level where oldLeaf is. |
|
||||
|
|
||||
`xor` signal is 0 if the index bit at the current level is the same in the old |
|
||||
and the new index, and 1 if it is different. |
|
||||
|
|
||||
`is0` signal, is 1 if we are inserting/deleting in an empty leaf and 0 if we |
|
||||
are inserting/deleting in a leaf that contains an element. |
|
||||
|
|
||||
The states are: |
|
||||
|
|
||||
top: While the index bits of the old and new insex in the top level is the same, whe are in the top state. |
|
||||
old0: When the we reach insert level, we go to old0 state |
|
||||
if `is0`=1. |
|
||||
btn: Once in insert level and `is0` =0 we go to btn or new1 level if xor=1 |
|
||||
new1: This level is reached when xor=1. Here is where we insert/delete the hash of the |
|
||||
old and the new trees with just one element. |
|
||||
na: Not appliable. After processing it, we go to the na level. |
|
||||
|
|
||||
|
|
||||
Fnction |
|
||||
fnc[0] fnc[1] |
|
||||
0 0 NOP |
|
||||
0 1 UPDATE |
|
||||
1 0 INSERT |
|
||||
1 1 DELETE |
|
||||
|
|
||||
|
|
||||
########### |
|
||||
# # |
|
||||
┌────────────────────────────▶# upd #─────────────────────┐ |
|
||||
│ ## ## │ |
|
||||
│ ######### │ |
|
||||
levIns=1 │ │ |
|
||||
fnc[0]=0 │ │ any |
|
||||
│ │ |
|
||||
│ │ |
|
||||
│ │ |
|
||||
│ ########### │ |
|
||||
│ levIns=1 # # │ |
|
||||
levIns=0 │ is0=1 ┌────────────▶# old0 #────────┐ │ any |
|
||||
┌─────┐ │ fnc[0]=1│ ## ## │ │ ┌──────┐ |
|
||||
│ │ │ │ ######### │ any │ │ │ |
|
||||
│ ▼ │ │ │ ▼ ▼ │ |
|
||||
│ ########### │ │ ########### │ |
|
||||
│ # # ────────────┘ └────────▶# #│ |
|
||||
└──# top # # na # |
|
||||
## ## ───────────────────┐ levIns=1 ┌──▶## ## |
|
||||
######### │ is0=0 │ ######### |
|
||||
│ │ fnc[0]=1 │ |
|
||||
│ │ xor=1 ########### │ any |
|
||||
│ └──────────────────▶# # │ |
|
||||
│ # new1 #──┘ |
|
||||
│ ## ## |
|
||||
└────────────────────────────────┐ ######### |
|
||||
levIns=1 │ ▲ |
|
||||
is0=0 │ ┌─────┘ |
|
||||
fnc[0]=1 │ ###########│ xor=1 |
|
||||
xor=0 │ # # |
|
||||
▼# btn # |
|
||||
## ## |
|
||||
#########◀───────┐ |
|
||||
│ │ |
|
||||
│ │ |
|
||||
└────────────┘ |
|
||||
xor=0 |
|
||||
|
|
||||
***************************************************************************************************/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template SMTProcessorSM() { |
|
||||
signal input xor; |
|
||||
signal input is0; |
|
||||
signal input levIns; |
|
||||
signal input fnc[2]; |
|
||||
|
|
||||
signal input prev_top; |
|
||||
signal input prev_old0; |
|
||||
signal input prev_bot; |
|
||||
signal input prev_new1; |
|
||||
signal input prev_na; |
|
||||
signal input prev_upd; |
|
||||
|
|
||||
signal output st_top; |
|
||||
signal output st_old0; |
|
||||
signal output st_bot; |
|
||||
signal output st_new1; |
|
||||
signal output st_na; |
|
||||
signal output st_upd; |
|
||||
|
|
||||
signal aux1; |
|
||||
signal aux2; |
|
||||
|
|
||||
aux1 <== prev_top * levIns; |
|
||||
aux2 <== aux1*fnc[0]; // prev_top * levIns * fnc[0] |
|
||||
|
|
||||
// st_top = prev_top*(1-levIns) |
|
||||
// = + prev_top |
|
||||
// - prev_top * levIns = aux1 |
|
||||
|
|
||||
st_top <== prev_top - aux1; |
|
||||
|
|
||||
// st_old0 = prev_top * levIns * is0 * fnc[0] |
|
||||
// = + prev_top * levIns * is0 * fnc[0] = aux2 * is0 |
|
||||
|
|
||||
st_old0 <== aux2 * is0; // prev_top * levIns * is0 * fnc[0] |
|
||||
|
|
||||
// st_new1 = prev_top * levIns * (1-is0)*fnc[0] * xor + prev_bot*xor = |
|
||||
// = + prev_top * levIns * fnc[0] * xor = aux2 * xor |
|
||||
// - prev_top * levIns * is0 * fnc[0] * xor = st_old0 * xor |
|
||||
// + prev_bot * xor = prev_bot * xor |
|
||||
|
|
||||
st_new1 <== (aux2 - st_old0 + prev_bot)*xor; |
|
||||
|
|
||||
|
|
||||
// st_bot = prev_top * levIns * (1-is0)*fnc[0] * (1-xor) + prev_bot*(1-xor); |
|
||||
// = + prev_top * levIns * fnc[0] |
|
||||
// - prev_top * levIns * is0 * fnc[0] |
|
||||
// - prev_top * levIns * fnc[0] * xor |
|
||||
// + prev_top * levIns * is0 * fnc[0] * xor |
|
||||
// + prev_bot |
|
||||
// - prev_bot * xor |
|
||||
|
|
||||
st_bot <== (1-xor) * (aux2 - st_old0 + prev_bot); |
|
||||
|
|
||||
|
|
||||
// st_upd = prev_top * (1-fnc[0]) *levIns; |
|
||||
// = + prev_top * levIns |
|
||||
// - prev_top * levIns * fnc[0] |
|
||||
|
|
||||
st_upd <== aux1 - aux2; |
|
||||
|
|
||||
// st_na = prev_new1 + prev_old0 + prev_na + prev_upd; |
|
||||
// = + prev_new1 |
|
||||
// + prev_old0 |
|
||||
// + prev_na |
|
||||
// + prev_upd |
|
||||
|
|
||||
st_na <== prev_new1 + prev_old0 + prev_na + prev_upd; |
|
||||
|
|
||||
} |
|
@ -1,138 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
|
|
||||
SMTVerifier is a component to verify inclusion/exclusion of an element in the tree |
|
||||
|
|
||||
|
|
||||
fnc: 0 -> VERIFY INCLUSION |
|
||||
1 -> VERIFY NOT INCLUSION |
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
|
|
||||
include "../gates.circom"; |
|
||||
include "../bitify.circom"; |
|
||||
include "../comparators.circom"; |
|
||||
include "../switcher.circom"; |
|
||||
include "smtlevins.circom"; |
|
||||
include "smtverifierlevel.circom"; |
|
||||
include "smtverifiersm.circom"; |
|
||||
include "smthash_poseidon.circom"; |
|
||||
|
|
||||
template SMTVerifier(nLevels) { |
|
||||
signal input enabled; |
|
||||
signal input root; |
|
||||
signal input siblings[nLevels]; |
|
||||
signal input oldKey; |
|
||||
signal input oldValue; |
|
||||
signal input isOld0; |
|
||||
signal input key; |
|
||||
signal input value; |
|
||||
signal input fnc; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
component hash1Old = SMTHash1(); |
|
||||
hash1Old.key <== oldKey; |
|
||||
hash1Old.value <== oldValue; |
|
||||
|
|
||||
component hash1New = SMTHash1(); |
|
||||
hash1New.key <== key; |
|
||||
hash1New.value <== value; |
|
||||
|
|
||||
component n2bOld = Num2Bits_strict(); |
|
||||
component n2bNew = Num2Bits_strict(); |
|
||||
|
|
||||
n2bOld.in <== oldKey; |
|
||||
n2bNew.in <== key; |
|
||||
|
|
||||
component smtLevIns = SMTLevIns(nLevels); |
|
||||
for (i=0; i<nLevels; i++) smtLevIns.siblings[i] <== siblings[i]; |
|
||||
smtLevIns.enabled <== enabled; |
|
||||
|
|
||||
component sm[nLevels]; |
|
||||
for (i=0; i<nLevels; i++) { |
|
||||
sm[i] = SMTVerifierSM(); |
|
||||
if (i==0) { |
|
||||
sm[i].prev_top <== enabled; |
|
||||
sm[i].prev_i0 <== 0; |
|
||||
sm[i].prev_inew <== 0; |
|
||||
sm[i].prev_iold <== 0; |
|
||||
sm[i].prev_na <== 1-enabled; |
|
||||
} else { |
|
||||
sm[i].prev_top <== sm[i-1].st_top; |
|
||||
sm[i].prev_i0 <== sm[i-1].st_i0; |
|
||||
sm[i].prev_inew <== sm[i-1].st_inew; |
|
||||
sm[i].prev_iold <== sm[i-1].st_iold; |
|
||||
sm[i].prev_na <== sm[i-1].st_na; |
|
||||
} |
|
||||
sm[i].is0 <== isOld0; |
|
||||
sm[i].fnc <== fnc; |
|
||||
sm[i].levIns <== smtLevIns.levIns[i]; |
|
||||
} |
|
||||
sm[nLevels-1].st_na + sm[nLevels-1].st_iold + sm[nLevels-1].st_inew + sm[nLevels-1].st_i0 === 1; |
|
||||
|
|
||||
component levels[nLevels]; |
|
||||
for (i=nLevels-1; i != -1; i--) { |
|
||||
levels[i] = SMTVerifierLevel(); |
|
||||
|
|
||||
levels[i].st_top <== sm[i].st_top; |
|
||||
levels[i].st_i0 <== sm[i].st_i0; |
|
||||
levels[i].st_inew <== sm[i].st_inew; |
|
||||
levels[i].st_iold <== sm[i].st_iold; |
|
||||
levels[i].st_na <== sm[i].st_na; |
|
||||
|
|
||||
levels[i].sibling <== siblings[i]; |
|
||||
levels[i].old1leaf <== hash1Old.out; |
|
||||
levels[i].new1leaf <== hash1New.out; |
|
||||
|
|
||||
levels[i].lrbit <== n2bNew.out[i]; |
|
||||
if (i==nLevels-1) { |
|
||||
levels[i].child <== 0; |
|
||||
} else { |
|
||||
levels[i].child <== levels[i+1].root; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
|
|
||||
// Check that if checking for non inclussuin and isOld0==0 then key!=old |
|
||||
component areKeyEquals = IsEqual(); |
|
||||
areKeyEquals.in[0] <== oldKey; |
|
||||
areKeyEquals.in[1] <== key; |
|
||||
|
|
||||
component keysOk = MultiAND(4); |
|
||||
keysOk.in[0] <== fnc; |
|
||||
keysOk.in[1] <== 1-isOld0; |
|
||||
keysOk.in[2] <== areKeyEquals.out; |
|
||||
keysOk.in[3] <== enabled; |
|
||||
|
|
||||
keysOk.out === 0; |
|
||||
|
|
||||
// Check the root |
|
||||
component checkRoot = ForceEqualIfEnabled(); |
|
||||
checkRoot.enabled <== enabled; |
|
||||
checkRoot.in[0] <== levels[0].root; |
|
||||
checkRoot.in[1] <== root; |
|
||||
|
|
||||
// levels[0].root === root; |
|
||||
|
|
||||
} |
|
@ -1,71 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/****** |
|
||||
|
|
||||
SMTVerifierLevel |
|
||||
|
|
||||
This circuit has 1 hash |
|
||||
|
|
||||
Outputs according to the state. |
|
||||
|
|
||||
State root |
|
||||
===== ======= |
|
||||
top H'(child, sibling) |
|
||||
i0 0 |
|
||||
iold old1leaf |
|
||||
inew new1leaf |
|
||||
na 0 |
|
||||
|
|
||||
H' is the Hash function with the inputs shifted acordingly. |
|
||||
|
|
||||
*****/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template SMTVerifierLevel() { |
|
||||
signal input st_top; |
|
||||
signal input st_i0; |
|
||||
signal input st_iold; |
|
||||
signal input st_inew; |
|
||||
signal input st_na; |
|
||||
|
|
||||
signal output root; |
|
||||
signal input sibling; |
|
||||
signal input old1leaf; |
|
||||
signal input new1leaf; |
|
||||
signal input lrbit; |
|
||||
signal input child; |
|
||||
|
|
||||
signal aux[2]; |
|
||||
|
|
||||
component proofHash = SMTHash2(); |
|
||||
component switcher = Switcher(); |
|
||||
|
|
||||
switcher.L <== child; |
|
||||
switcher.R <== sibling; |
|
||||
|
|
||||
switcher.sel <== lrbit; |
|
||||
proofHash.L <== switcher.outL; |
|
||||
proofHash.R <== switcher.outR; |
|
||||
|
|
||||
aux[0] <== proofHash.out * st_top; |
|
||||
aux[1] <== old1leaf*st_iold; |
|
||||
|
|
||||
root <== aux[0] + aux[1] + new1leaf*st_inew; |
|
||||
} |
|
@ -1,106 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
Each level in the SMTVerifier has a state. |
|
||||
|
|
||||
This is the state machine. |
|
||||
|
|
||||
The signals are |
|
||||
|
|
||||
levIns: 1 if we are in the level where the insertion should happen |
|
||||
xor: 1 if the bitKey of the old and new keys are different in this level |
|
||||
is0: Input that indicates that the oldKey is 0 |
|
||||
fnc: 0 -> VERIFY INCLUSION |
|
||||
1 -> VERIFY NOT INCLUSION |
|
||||
|
|
||||
err state is not a state itself. It's a lack of state. |
|
||||
|
|
||||
The end of the last level will have to be `na` |
|
||||
|
|
||||
levIns=0 any |
|
||||
┌────┐ ┌────┐ |
|
||||
│ │ │ │ |
|
||||
│ ▼ levIns=1 ▼ │ |
|
||||
│ ########### is0=1 ########### ########### │ |
|
||||
│ # # fnc=1 # # any # # │ |
|
||||
└──# top # ─────────────────────▶# i0 #───────────────▶# na #──┘ |
|
||||
## ## ──────────┐ ## ## ┌───────▶## ## |
|
||||
########─────────────┐│ ######### │┌────────▶######### |
|
||||
││ levIns=1 ││ |
|
||||
││ is0=0 ########### ││ |
|
||||
││ fnc=1 # # any│ |
|
||||
│└──────────▶ # iold #────────┘│ |
|
||||
│ ## ## │ |
|
||||
│ ######### │ |
|
||||
│ │ |
|
||||
│ levIns=1 ########### │ |
|
||||
│ fnc=0 # # any |
|
||||
└────────────▶# inew #─────────┘ |
|
||||
## ## |
|
||||
######### |
|
||||
|
|
||||
*/ |
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
|
|
||||
template SMTVerifierSM() { |
|
||||
signal input is0; |
|
||||
signal input levIns; |
|
||||
signal input fnc; |
|
||||
|
|
||||
signal input prev_top; |
|
||||
signal input prev_i0; |
|
||||
signal input prev_iold; |
|
||||
signal input prev_inew; |
|
||||
signal input prev_na; |
|
||||
|
|
||||
signal output st_top; |
|
||||
signal output st_i0; |
|
||||
signal output st_iold; |
|
||||
signal output st_inew; |
|
||||
signal output st_na; |
|
||||
|
|
||||
signal prev_top_lev_ins; |
|
||||
signal prev_top_lev_ins_fnc; |
|
||||
|
|
||||
prev_top_lev_ins <== prev_top * levIns; |
|
||||
prev_top_lev_ins_fnc <== prev_top_lev_ins*fnc; // prev_top * levIns * fnc |
|
||||
|
|
||||
// st_top = prev_top * (1-levIns) |
|
||||
// = + prev_top |
|
||||
// - prev_top * levIns |
|
||||
st_top <== prev_top - prev_top_lev_ins; |
|
||||
|
|
||||
// st_inew = prev_top * levIns * (1-fnc) |
|
||||
// = + prev_top * levIns |
|
||||
// - prev_top * levIns * fnc |
|
||||
st_inew <== prev_top_lev_ins - prev_top_lev_ins_fnc; |
|
||||
|
|
||||
// st_iold = prev_top * levIns * (1-is0)*fnc |
|
||||
// = + prev_top * levIns * fnc |
|
||||
// - prev_top * levIns * fnc * is0 |
|
||||
st_iold <== prev_top_lev_ins_fnc * (1 - is0); |
|
||||
|
|
||||
// st_i0 = prev_top * levIns * is0 |
|
||||
// = + prev_top * levIns * is0 |
|
||||
st_i0 <== prev_top_lev_ins * is0; |
|
||||
|
|
||||
st_na <== prev_na + prev_inew + prev_iold + prev_i0; |
|
||||
} |
|
@ -1,42 +0,0 @@ |
|||||
/* |
|
||||
Copyright 2018 0KIMS association. |
|
||||
|
|
||||
This file is part of circom (Zero Knowledge Circuit Compiler). |
|
||||
|
|
||||
circom is a free software: you can redistribute it and/or modify it |
|
||||
under the terms of the GNU General Public License as published by |
|
||||
the Free Software Foundation, either version 3 of the License, or |
|
||||
(at your option) any later version. |
|
||||
|
|
||||
circom is distributed in the hope that it will be useful, but WITHOUT |
|
||||
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
|
||||
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
|
||||
License for more details. |
|
||||
|
|
||||
You should have received a copy of the GNU General Public License |
|
||||
along with circom. If not, see <https://www.gnu.org/licenses/>. |
|
||||
*/ |
|
||||
|
|
||||
/* |
|
||||
Assume sel is binary. |
|
||||
|
|
||||
If sel == 0 then outL = L and outR=R |
|
||||
If sel == 1 then outL = R and outR=L |
|
||||
|
|
||||
*/ |
|
||||
|
|
||||
pragma circom 2.0.0; |
|
||||
|
|
||||
template Switcher() { |
|
||||
signal input sel; |
|
||||
signal input L; |
|
||||
signal input R; |
|
||||
signal output outL; |
|
||||
signal output outR; |
|
||||
|
|
||||
signal aux; |
|
||||
|
|
||||
aux <== (R-L)*sel; // We create aux in order to have only one multiplication |
|
||||
outL <== aux + L; |
|
||||
outR <== -aux + R; |
|
||||
} |
|
@ -1,2 +0,0 @@ |
|||||
|
|
||||
|
|
@ -1,33 +0,0 @@ |
|||||
{ |
|
||||
"name": "circomlib", |
|
||||
"version": "2.0.5", |
|
||||
"description": "Basic circuits library for Circom", |
|
||||
"main": "index.js", |
|
||||
"directories": { |
|
||||
"test": "test" |
|
||||
}, |
|
||||
"scripts": { |
|
||||
"test": "mocha --max-old-space-size=4000" |
|
||||
}, |
|
||||
"keywords": [ |
|
||||
"pedersen", |
|
||||
"hash", |
|
||||
"ethereum", |
|
||||
"circuit", |
|
||||
"circom", |
|
||||
"zksnark" |
|
||||
], |
|
||||
"repository": { |
|
||||
"type": "git", |
|
||||
"url": "https://github.com/iden3/circomlib.git" |
|
||||
}, |
|
||||
"author": "0Kims", |
|
||||
"license": "GPL-3.0", |
|
||||
"devDependencies": { |
|
||||
"blake-hash": "^2.0.0", |
|
||||
"chai": "^4.3.4", |
|
||||
"circom_tester": "0.0.13", |
|
||||
"circomlibjs": "^0.1.4", |
|
||||
"mocha": "^9.1.3" |
|
||||
} |
|
||||
} |
|
@ -1,77 +0,0 @@ |
|||||
const chai = require("chai"); |
|
||||
const path = require("path"); |
|
||||
|
|
||||
const assert = chai.assert; |
|
||||
|
|
||||
const Scalar = require("ffjavascript").Scalar; |
|
||||
const F1Field = require("ffjavascript").F1Field; |
|
||||
const utils = require("ffjavascript").utils; |
|
||||
const q = Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617"); |
|
||||
const F = new F1Field(q); |
|
||||
|
|
||||
const wasm_tester = require("circom_tester").wasm; |
|
||||
|
|
||||
function print(circuit, w, s) { |
|
||||
console.log(s + ": " + w[circuit.getSignalIdx(s)]); |
|
||||
} |
|
||||
|
|
||||
function getBits(v, n) { |
|
||||
const res = []; |
|
||||
for (let i=0; i<n; i++) { |
|
||||
if (Scalar.isOdd(Scalar.shr(v,i))) { |
|
||||
res.push(F.one); |
|
||||
} else { |
|
||||
res.push(F.zero); |
|
||||
} |
|
||||
} |
|
||||
return res; |
|
||||
} |
|
||||
|
|
||||
|
|
||||
describe("Aliascheck test", function () { |
|
||||
this.timeout(100000); |
|
||||
|
|
||||
let cir; |
|
||||
before( async() => { |
|
||||
|
|
||||
cir = await wasm_tester(path.join(__dirname, "circuits", "aliascheck_test.circom")); |
|
||||
}); |
|
||||
|
|
||||
it("Satisfy the aliastest 0", async () => { |
|
||||
const inp = getBits(0, 254); |
|
||||
await cir.calculateWitness({in: inp}, true); |
|
||||
}); |
|
||||
|
|
||||
it("Satisfy the aliastest 3", async () => { |
|
||||
const inp = getBits(3, 254); |
|
||||
await cir.calculateWitness({in: inp}, true); |
|
||||
}); |
|
||||
|
|
||||
it("Satisfy the aliastest q-1", async () => { |
|
||||
const inp = getBits(F.e(-1), 254); |
|
||||
// console.log(JSON.stringify(utils.stringifyBigInts(inp)));
|
|
||||
await cir.calculateWitness({in: inp}, true); |
|
||||
}); |
|
||||
|
|
||||
it("Should not satisfy an input of q", async () => { |
|
||||
const inp = getBits(q, 254); |
|
||||
try { |
|
||||
await cir.calculateWitness({in: inp}, true); |
|
||||
assert(false); |
|
||||
} catch(err) { |
|
||||
assert(err.message.includes("Assert Failed")); |
|
||||
} |
|
||||
}); |
|
||||
|
|
||||
it("Should not satisfy all ones", async () => { |
|
||||
|
|
||||
const inp = getBits(Scalar.sub(Scalar.shl(1, 254) , 1) , 254); |
|
||||
try { |
|
||||
await cir.calculateWitness({in: inp}, true); |
|
||||
assert(false); |
|
||||
} catch(err) { |
|
||||
assert(err.message.includes("Assert Failed")); |
|
||||
} |
|
||||
}); |
|
||||
|
|
||||
}); |
|
@ -1,118 +0,0 @@ |
|||||
const chai = require("chai"); |
|
||||
const path = require("path"); |
|
||||
|
|
||||
const createBlakeHash = require("blake-hash"); |
|
||||
const buildEddsa = require("circomlibjs").buildEddsa; |
|
||||
|
|
||||
const assert = chai.assert; |
|
||||
|
|
||||
const wasm_tester = require("circom_tester").wasm; |
|
||||
const utils = require("ffjavascript").utils; |
|
||||
const Scalar = require("ffjavascript").Scalar; |
|
||||
|
|
||||
describe("Baby Jub test", function () { |
|
||||
let eddsa; |
|
||||
let F; |
|
||||
let circuitAdd; |
|
||||
let circuitTest; |
|
||||
let circuitPbk; |
|
||||
|
|
||||
this.timeout(100000); |
|
||||
|
|
||||
before( async() => { |
|
||||
|
|
||||
eddsa = await buildEddsa(); |
|
||||
F = eddsa.F; |
|
||||
|
|
||||
circuitAdd = await wasm_tester(path.join(__dirname, "circuits", "babyadd_tester.circom")); |
|
||||
|
|
||||
circuitTest = await wasm_tester(path.join(__dirname, "circuits", "babycheck_test.circom")); |
|
||||
|
|
||||
circuitPbk = await wasm_tester(path.join(__dirname, "circuits", "babypbk_test.circom")); |
|
||||
}); |
|
||||
|
|
||||
it("Should add point (0,1) and (0,1)", async () => { |
|
||||
|
|
||||
const input={ |
|
||||
x1: 0, |
|
||||
y1: 1, |
|
||||
x2: 0, |
|
||||
y2: 1 |
|
||||
}; |
|
||||
|
|
||||
const w = await circuitAdd.calculateWitness(input, true); |
|
||||
|
|
||||
await circuitAdd.assertOut(w, {xout: 0, yout: 1}); |
|
||||
}); |
|
||||
|
|
||||
it("Should add 2 same numbers", async () => { |
|
||||
|
|
||||
const input={ |
|
||||
x1: 17777552123799933955779906779655732241715742912184938656739573121738514868268n, |
|
||||
y1: 2626589144620713026669568689430873010625803728049924121243784502389097019475n, |
|
||||
x2: 17777552123799933955779906779655732241715742912184938656739573121738514868268n, |
|
||||
y2: 2626589144620713026669568689430873010625803728049924121243784502389097019475n |
|
||||
}; |
|
||||
|
|
||||
const w = await circuitAdd.calculateWitness(input, true); |
|
||||
|
|
||||
await circuitAdd.assertOut(w, { |
|
||||
xout: 6890855772600357754907169075114257697580319025794532037257385534741338397365n, |
|
||||
yout: 4338620300185947561074059802482547481416142213883829469920100239455078257889n |
|
||||
}); |
|
||||
|
|
||||
}); |
|
||||
|
|
||||
it("Should add 2 different numbers", async () => { |
|
||||
|
|
||||
const input={ |
|
||||
x1: 17777552123799933955779906779655732241715742912184938656739573121738514868268n, |
|
||||
y1: 2626589144620713026669568689430873010625803728049924121243784502389097019475n, |
|
||||
x2: 16540640123574156134436876038791482806971768689494387082833631921987005038935n, |
|
||||
y2: 20819045374670962167435360035096875258406992893633759881276124905556507972311n |
|
||||
}; |
|
||||
|
|
||||
const w = await circuitAdd.calculateWitness(input, true); |
|
||||
|
|
||||
await circuitAdd.assertOut(w, { |
|
||||
xout: 7916061937171219682591368294088513039687205273691143098332585753343424131937n, |
|
||||
yout: 14035240266687799601661095864649209771790948434046947201833777492504781204499n |
|
||||
}); |
|
||||
|
|
||||
}); |
|
||||
|
|
||||
it("Should check (0,1) is a valid point", async() => { |
|
||||
const w = await circuitTest.calculateWitness({x: 0, y:1}, true); |
|
||||
|
|
||||
await circuitTest.checkConstraints(w); |
|
||||
}); |
|
||||
|
|
||||
it("Should check (1,0) is an invalid point", async() => { |
|
||||
try { |
|
||||
await circuitTest.calculateWitness({x: 1, y: 0}, true); |
|
||||
assert(false, "Should be a valid point"); |
|
||||
} catch(err) { |
|
||||
assert(err.message.includes("Assert Failed")); |
|
||||
} |
|
||||
}); |
|
||||
|
|
||||
it("Should extract the public key from the private one", async () => { |
|
||||
|
|
||||
const rawpvk = Buffer.from("0001020304050607080900010203040506070809000102030405060708090021", "hex"); |
|
||||
const pvk = eddsa.pruneBuffer(createBlakeHash("blake512").update(rawpvk).digest().slice(0,32)); |
|
||||
const S = Scalar.shr(utils.leBuff2int(pvk), 3); |
|
||||
|
|
||||
const A = eddsa.prv2pub(rawpvk); |
|
||||
|
|
||||
const input = { |
|
||||
in : S |
|
||||
}; |
|
||||
|
|
||||
const w = await circuitPbk.calculateWitness(input, true); |
|
||||
|
|
||||
await circuitPbk.assertOut(w, {Ax : F.toObject(A[0]), Ay: F.toObject(A[1])}); |
|
||||
|
|
||||
await circuitPbk.checkConstraints(w); |
|
||||
}); |
|
||||
|
|
||||
}); |
|
@ -1,52 +0,0 @@ |
|||||
const path = require("path"); |
|
||||
|
|
||||
const Scalar = require("ffjavascript").Scalar; |
|
||||
const wasm_tester = require("circom_tester").wasm; |
|
||||
|
|
||||
function print(circuit, w, s) { |
|
||||
console.log(s + ": " + w[circuit.getSignalIdx(s)]); |
|
||||
} |
|
||||
|
|
||||
async function checkSub(_a,_b, circuit) { |
|
||||
let a=Scalar.e(_a); |
|
||||
let b=Scalar.e(_b); |
|
||||
if (Scalar.lt(a, 0)) a = Scalar.add(a, Scalar.shl(1, 16)); |
|
||||
if (Scalar.lt(b, 0)) b = Scalar.add(b, Scalar.shl(1, 16)); |
|
||||
const w = await circuit.calculateWitness({a: a, b: b}, true); |
|
||||
|
|
||||
let res = Scalar.sub(a, b); |
|
||||
if (Scalar.lt(res, 0)) res = Scalar.add(res, Scalar.shl(1, 16)); |
|
||||
|
|
||||
await circuit.assertOut(w, {out: res}); |
|
||||
} |
|
||||
|
|
||||
describe("BinSub test", function () { |
|
||||
|
|
||||
this.timeout(100000); |
|
||||
|
|
||||
let circuit; |
|
||||
before( async() => { |
|
||||
circuit = await wasm_tester(path.join(__dirname, "circuits", "binsub_test.circom")); |
|
||||
}); |
|
||||
|
|
||||
it("Should check variuos ege cases", async () => { |
|
||||
await checkSub(0,0, circuit); |
|
||||
await checkSub(1,0, circuit); |
|
||||
await checkSub(-1,0, circuit); |
|
||||
await checkSub(2,1, circuit); |
|
||||
await checkSub(2,2, circuit); |
|
||||
await checkSub(2,3, circuit); |
|
||||
await checkSub(2,-1, circuit); |
|
||||
await checkSub(2,-2, circuit); |
|
||||
await checkSub(2,-3, circuit); |
|
||||
await checkSub(-2,-3, circuit); |
|
||||
await checkSub(-2,-2, circuit); |
|
||||
await checkSub(-2,-1, circuit); |
|
||||
await checkSub(-2,0, circuit); |
|
||||
await checkSub(-2,1, circuit); |
|
||||
await checkSub(-2,2, circuit); |
|
||||
await checkSub(-2,3, circuit); |
|
||||
}); |
|
||||
|
|
||||
|
|
||||
}); |
|
@ -1,38 +0,0 @@ |
|||||
const chai = require("chai"); |
|
||||
const path = require("path"); |
|
||||
|
|
||||
const wasm_tester = require("circom_tester").wasm; |
|
||||
|
|
||||
const F1Field = require("ffjavascript").F1Field; |
|
||||
const Scalar = require("ffjavascript").Scalar; |
|
||||
exports.p = Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617"); |
|
||||
const Fr = new F1Field(exports.p); |
|
||||
|
|
||||
const assert = chai.assert; |
|
||||
|
|
||||
describe("Binary sum test", function () { |
|
||||
this.timeout(100000000); |
|
||||
|
|
||||
it("Should create a constant circuit", async () => { |
|
||||
const circuit = await wasm_tester(path.join(__dirname, "circuits", "constants_test.circom")); |
|
||||
await circuit.loadConstraints(); |
|
||||
assert.equal(circuit.nVars, 2); |
|
||||
assert.equal(circuit.constraints.length, 1); |
|
||||
|
|
||||
const witness = await circuit.calculateWitness({ "in": Fr.toString(Fr.e("0xd807aa98"))}, true); |
|
||||
|
|
||||
assert(Fr.eq(Fr.e(witness[0]),Fr.e(1))); |
|
||||
assert(Fr.eq(Fr.e(witness[1]),Fr.e("0xd807aa98"))); |
|
||||
}); |
|
||||
it("Should create a sum circuit", async () => { |
|
||||
const circuit = await wasm_tester(path.join(__dirname, "circuits", "sum_test.circom")); |
|
||||
await circuit.loadConstraints(); |
|
||||
|
|
||||
assert.equal(circuit.constraints.length, 97); // 32 (in1) + 32(in2) + 32(out) + 1 (carry)
|
|
||||
|
|
||||
const witness = await circuit.calculateWitness({ "a": "111", "b": "222" }, true); |
|
||||
|
|
||||
assert(Fr.eq(Fr.e(witness[0]),Fr.e(1))); |
|
||||
assert(Fr.eq(Fr.e(witness[1]),Fr.e("333"))); |
|
||||
}); |
|
||||
}); |
|
@ -1,4 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
include "../../circuits/aliascheck.circom"; |
|
||||
|
|
||||
component main = AliasCheck(); |
|
@ -1,4 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
include "../../circuits/babyjub.circom"; |
|
||||
|
|
||||
component main = BabyAdd(); |
|
@ -1,4 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
include "../../circuits/babyjub.circom"; |
|
||||
|
|
||||
component main = BabyCheck(); |
|
@ -1,4 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
include "../../circuits/babyjub.circom"; |
|
||||
|
|
||||
component main = BabyPbk(); |
|
@ -1,33 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/bitify.circom"; |
|
||||
include "../../circuits/binsub.circom"; |
|
||||
|
|
||||
template A() { |
|
||||
signal input a; //private |
|
||||
signal input b; |
|
||||
signal output out; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
component n2ba = Num2Bits(16); |
|
||||
component n2bb = Num2Bits(16); |
|
||||
component sub = BinSub(16); |
|
||||
component b2n = Bits2Num(16); |
|
||||
|
|
||||
n2ba.in <== a; |
|
||||
n2bb.in <== b; |
|
||||
|
|
||||
for (i=0; i<16; i++) { |
|
||||
sub.in[0][i] <== n2ba.out[i]; |
|
||||
sub.in[1][i] <== n2bb.out[i]; |
|
||||
} |
|
||||
|
|
||||
for (i=0; i<16; i++) { |
|
||||
b2n.in[i] <== sub.out[i]; |
|
||||
} |
|
||||
|
|
||||
out <== b2n.out; |
|
||||
} |
|
||||
|
|
||||
component main = A(); |
|
@ -1,20 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/sha256/constants.circom"; |
|
||||
|
|
||||
template A() { |
|
||||
signal input in; |
|
||||
component h0; |
|
||||
h0 = K(8); |
|
||||
|
|
||||
var lc = 0; |
|
||||
var e = 1; |
|
||||
for (var i=0; i<32; i++) { |
|
||||
lc = lc + e*h0.out[i]; |
|
||||
e *= 2; |
|
||||
} |
|
||||
|
|
||||
lc === in; |
|
||||
} |
|
||||
|
|
||||
component main {public [in]} = A(); |
|
@ -1,5 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/eddsa.circom"; |
|
||||
|
|
||||
component main = EdDSAVerifier(80); |
|
@ -1,5 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/eddsamimc.circom"; |
|
||||
|
|
||||
component main = EdDSAMiMCVerifier(); |
|
@ -1,5 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/eddsaposeidon.circom"; |
|
||||
|
|
||||
component main = EdDSAPoseidonVerifier(); |
|
@ -1,5 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/montgomery.circom"; |
|
||||
|
|
||||
component main = Edwards2Montgomery(); |
|
@ -1,27 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/escalarmul.circom"; |
|
||||
|
|
||||
|
|
||||
template Main() { |
|
||||
signal input in[256]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
var base[2] = [5299619240641551281634865583518297030282874472190772894086521144482721001553, 16950150798460657717958625567821834550301663161624707787222815936182638968203]; |
|
||||
|
|
||||
component escalarMul = EscalarMul(256, base); |
|
||||
|
|
||||
escalarMul.inp[0] <== 0; |
|
||||
escalarMul.inp[1] <== 1; |
|
||||
|
|
||||
for (i=0; i<256; i++) { |
|
||||
in[i] ==> escalarMul.in[i]; |
|
||||
} |
|
||||
|
|
||||
escalarMul.out[0] ==> out[0]; |
|
||||
escalarMul.out[1] ==> out[1]; |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
@ -1,33 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/escalarmul.circom"; |
|
||||
include "../../circuits/bitify.circom"; |
|
||||
|
|
||||
|
|
||||
template Main() { |
|
||||
signal input in; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var base[2] = [5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203]; |
|
||||
|
|
||||
|
|
||||
component n2b = Num2Bits(253); |
|
||||
component escalarMul = EscalarMul(253, base); |
|
||||
|
|
||||
escalarMul.inp[0] <== 0; |
|
||||
escalarMul.inp[1] <== 1; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
in ==> n2b.in; |
|
||||
|
|
||||
for (i=0; i<253; i++) { |
|
||||
n2b.out[i] ==> escalarMul.in[i]; |
|
||||
} |
|
||||
|
|
||||
escalarMul.out[0] ==> out[0]; |
|
||||
escalarMul.out[1] ==> out[1]; |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
@ -1,28 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/escalarmul.circom"; |
|
||||
|
|
||||
|
|
||||
template Main() { |
|
||||
signal input in[256]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
var base[2] = [5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203]; |
|
||||
|
|
||||
component escalarMul = EscalarMul(256, base); |
|
||||
|
|
||||
escalarMul.inp[0] <== 0; |
|
||||
escalarMul.inp[1] <== 1; |
|
||||
|
|
||||
for (i=0; i<256; i++) { |
|
||||
in[i] ==> escalarMul.in[i]; |
|
||||
} |
|
||||
|
|
||||
escalarMul.out[0] ==> out[0]; |
|
||||
escalarMul.out[1] ==> out[1]; |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
@ -1,30 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/escalarmulany.circom"; |
|
||||
include "../../circuits/bitify.circom"; |
|
||||
|
|
||||
template Main() { |
|
||||
signal input e; |
|
||||
signal input p[2]; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
component n2b = Num2Bits(253); |
|
||||
component escalarMulAny = EscalarMulAny(253); |
|
||||
|
|
||||
escalarMulAny.p[0] <== p[0]; |
|
||||
escalarMulAny.p[1] <== p[1]; |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
e ==> n2b.in; |
|
||||
|
|
||||
for (i=0; i<253; i++) { |
|
||||
n2b.out[i] ==> escalarMulAny.e[i]; |
|
||||
} |
|
||||
|
|
||||
escalarMulAny.out[0] ==> out[0]; |
|
||||
escalarMulAny.out[1] ==> out[1]; |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
||||
|
|
@ -1,31 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/escalarmulfix.circom"; |
|
||||
include "../../circuits/bitify.circom"; |
|
||||
|
|
||||
|
|
||||
template Main() { |
|
||||
signal input e; |
|
||||
signal output out[2]; |
|
||||
|
|
||||
var base[2] = [5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203]; |
|
||||
|
|
||||
|
|
||||
component n2b = Num2Bits(253); |
|
||||
component escalarMul = EscalarMulFix(253, base); |
|
||||
|
|
||||
var i; |
|
||||
|
|
||||
e ==> n2b.in; |
|
||||
|
|
||||
for (i=0; i<253; i++) { |
|
||||
n2b.out[i] ==> escalarMul.e[i]; |
|
||||
} |
|
||||
|
|
||||
escalarMul.out[0] ==> out[0]; |
|
||||
escalarMul.out[1] ==> out[1]; |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
||||
|
|
@ -1,20 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/escalarmulw4table.circom"; |
|
||||
|
|
||||
|
|
||||
|
|
||||
|
|
||||
template Main() { |
|
||||
signal output out[16][2]; |
|
||||
var base[2] = [5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203]; |
|
||||
|
|
||||
var escalarMul[16][2] = EscalarMulW4Table(base, 0); |
|
||||
for (var i=0; i<16; i++) { |
|
||||
out[i][0] <== escalarMul[i][0]; |
|
||||
out[i][1] <== escalarMul[i][1]; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
@ -1,19 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/escalarmulw4table.circom"; |
|
||||
|
|
||||
|
|
||||
template Main() { |
|
||||
signal input in; |
|
||||
signal output out[16][2]; |
|
||||
var base[2] = [5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203]; |
|
||||
|
|
||||
var escalarMul[16][2] = EscalarMulW4Table(base, 0); |
|
||||
for (var i=0; i<16; i++) { |
|
||||
out[i][0] <== escalarMul[i][0]*in; |
|
||||
out[i][1] <== escalarMul[i][1]*in; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
@ -1,19 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/escalarmulw4table.circom"; |
|
||||
|
|
||||
|
|
||||
template Main() { |
|
||||
signal input in; |
|
||||
signal output out[16][2]; |
|
||||
var base[2] = [5299619240641551281634865583518297030282874472190772894086521144482721001553, |
|
||||
16950150798460657717958625567821834550301663161624707787222815936182638968203]; |
|
||||
|
|
||||
var escalarMul[16][2] = EscalarMulW4Table(base, 3); |
|
||||
for (var i=0; i<16; i++) { |
|
||||
out[i][0] <== escalarMul[i][0]*in; |
|
||||
out[i][1] <== escalarMul[i][1]*in; |
|
||||
} |
|
||||
} |
|
||||
|
|
||||
component main = Main(); |
|
@ -1,5 +0,0 @@ |
|||||
pragma circom 2.0.0; |
|
||||
|
|
||||
include "../../circuits/comparators.circom"; |
|
||||
|
|
||||
component main = GreaterEqThan(32); |
|