add Rust implementation, reorganize directories

5 years ago · 11b4c8ed9f
22 changed files with 1919 additions and 102 deletions
--- a/README.md
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 # Shamir Secret Sharing [![Go Report Card](https://goreportcard.com/badge/github.com/arnaucube/shamirsecretsharing)](https://goreportcard.com/report/github.com/arnaucube/shamirsecretsharing) [![GoDoc](https://godoc.org/github.com/arnaucube/shamirsecretsharing?status.svg)](https://godoc.org/github.com/arnaucube/shamirsecretsharing)
 This repo contains a Go lang implementation of Shamir Secret Sharing, and a compiled Web Assembly version from the Go code to be used from the browser.
 # Shamir's Secret Sharing
 This repo contains `Rust` & `Go` implementations of [Shamir's Secret Sharing](https://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing) algorithm. The `Go` implementation also has a compiled Web Assembly (WASM) version from the Go code to be used from the browser.
 - https://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing
 ## Wasm usage
 Compile to wasm, inside the `wasm` directory, execute:
 ```
 GOARCH=wasm GOOS=js go build -o shamirsecretsharing.wasm shamirsecretsharing-wasm-wrapper.go
 ```
 Add the file `wasm_exec.js` in the directory:
 ```
 cp "$(go env GOROOT)/misc/wasm/wasm_exec.js" .
 ```
 Call the library from javascript:
 ```js
 // Create shares from a secret
 // nNeededShares: number of secrets needed
 // nShares: number of shares
 // p: random point
 // k: secret to share
 createShares(nNeededShares, nShares, p, k);
 ```
 ## Usage from Go
 ```go
 // define secret to share
 k, ok := new(big.Int).SetString("123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890", 10)
 assert.True(t, ok)
 // define random prime
 p, err := rand.Prime(rand.Reader, bits/2)
 assert.Nil(t, err)
 // define how many shares want to generate
 nShares := big.NewInt(int64(6))
 // define how many shares are needed to recover the secret
 nNeededShares := big.NewInt(int64(3))
 // create the shares
 shares, err := Create(
 	nNeededShares,
 	nShares,
 	p,
 	big.NewInt(int64(k)))
 assert.Nil(t, err)
 // select shares to use
 var sharesToUse [][]*big.Int
 sharesToUse = append(sharesToUse, shares[2])
 sharesToUse = append(sharesToUse, shares[1])
 sharesToUse = append(sharesToUse, shares[0])
 // recover the secret using Lagrange Interpolation
 secr := LagrangeInterpolation(sharesToUse, p)
 // check that the restored secret matches the original secret
 if !bytes.Equal(k.Bytes(), secr.Bytes()) {
 	fmt.Println("reconstructed secret not correspond to original secret")
 }
 ```
 - `go`: [go-shamirsecretsharing](https://github.com/arnaucube/shamirsecretsharing/tree/master/go-shamirsecretsharing): Go lib + WASM lib
 - `rust`: [shamirsecretsharing-rs](https://github.com/arnaucube/shamirsecretsharing/tree/master/shamirsecretsharing-rs)
--- a/go-shamirsecretsharing/LICENSE
+++ b/go-shamirsecretsharing/LICENSE
@ -0,0 +1,674 @@
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 PURPOSE.  THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
 IS WITH YOU.  SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
 ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
  16. Limitation of Liability.
  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
 WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
 THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
 GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
 USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
 DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
 PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
 EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
 SUCH DAMAGES.
  17. Interpretation of Sections 15 and 16.
  If the disclaimer of warranty and limitation of liability provided
 above cannot be given local legal effect according to their terms,
 reviewing courts shall apply local law that most closely approximates
 an absolute waiver of all civil liability in connection with the
 Program, unless a warranty or assumption of liability accompanies a
 copy of the Program in return for a fee.
                     END OF TERMS AND CONDITIONS
            How to Apply These Terms to Your New Programs
  If you develop a new program, and you want it to be of the greatest
 possible use to the public, the best way to achieve this is to make it
 free software which everyone can redistribute and change under these terms.
  To do so, attach the following notices to the program.  It is safest
 to attach them to the start of each source file to most effectively
 state the exclusion of warranty; and each file should have at least
 the "copyright" line and a pointer to where the full notice is found.
    <one line to give the program's name and a brief idea of what it does.>
    Copyright (C) <year>  <name of author>
    This program is 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.
    This program 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 this program.  If not, see <https://www.gnu.org/licenses/>.
 Also add information on how to contact you by electronic and paper mail.
  If the program does terminal interaction, make it output a short
 notice like this when it starts in an interactive mode:
    <program>  Copyright (C) <year>  <name of author>
    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
    This is free software, and you are welcome to redistribute it
    under certain conditions; type `show c' for details.
 The hypothetical commands `show w' and `show c' should show the appropriate
 parts of the General Public License.  Of course, your program's commands
 might be different; for a GUI interface, you would use an "about box".
  You should also get your employer (if you work as a programmer) or school,
 if any, to sign a "copyright disclaimer" for the program, if necessary.
 For more information on this, and how to apply and follow the GNU GPL, see
 <https://www.gnu.org/licenses/>.
  The GNU General Public License does not permit incorporating your program
 into proprietary programs.  If your program is a subroutine library, you
 may consider it more useful to permit linking proprietary applications with
 the library.  If this is what you want to do, use the GNU Lesser General
 Public License instead of this License.  But first, please read
 <https://www.gnu.org/licenses/why-not-lgpl.html>.
--- a/go-shamirsecretsharing/README.md
+++ b/go-shamirsecretsharing/README.md
@ -0,0 +1,66 @@
 # go-shamirsecretsharing [![Go Report Card](https://goreportcard.com/badge/github.com/arnaucube/shamirsecretsharing)](https://goreportcard.com/report/github.com/arnaucube/shamirsecretsharing) [![GoDoc](https://godoc.org/github.com/arnaucube/shamirsecretsharing?status.svg)](https://godoc.org/github.com/arnaucube/shamirsecretsharing)
 Shamir's Secret Sharing in Go lib + WASM lib
 This directory contains a Go lang implementation of Shamir's Secret Sharing, and a compiled Web Assembly version from the Go code to be used from the browser.
 - https://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing
 ## Wasm usage
 Compile to wasm, inside the `wasm` directory, execute:
 ```
 GOARCH=wasm GOOS=js go build -o shamirsecretsharing.wasm shamirsecretsharing-wasm-wrapper.go
 ```
 Add the file `wasm_exec.js` in the directory:
 ```
 cp "$(go env GOROOT)/misc/wasm/wasm_exec.js" .
 ```
 Call the library from javascript:
 ```js
 // Create shares from a secret
 // nNeededShares: number of secrets needed
 // nShares: number of shares
 // p: random point
 // k: secret to share
 createShares(nNeededShares, nShares, p, k);
 ```
 ## Usage from Go
 ```go
 // define secret to share
 k, ok := new(big.Int).SetString("123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890", 10)
 assert.True(t, ok)
 // define random prime
 p, err := rand.Prime(rand.Reader, bits/2)
 assert.Nil(t, err)
 // define how many shares want to generate
 nShares := big.NewInt(int64(6))
 // define how many shares are needed to recover the secret
 nNeededShares := big.NewInt(int64(3))
 // create the shares
 shares, err := Create(
 	nNeededShares,
 	nShares,
 	p,
 	big.NewInt(int64(k)))
 assert.Nil(t, err)
 // select shares to use
 var sharesToUse [][]*big.Int
 sharesToUse = append(sharesToUse, shares[2])
 sharesToUse = append(sharesToUse, shares[1])
 sharesToUse = append(sharesToUse, shares[0])
 // recover the secret using Lagrange Interpolation
 secr := LagrangeInterpolation(sharesToUse, p)
 // check that the restored secret matches the original secret
 if !bytes.Equal(k.Bytes(), secr.Bytes()) {
 	fmt.Println("reconstructed secret not correspond to original secret")
 }
 ```
--- a/go-shamirsecretsharing/go.mod
+++ b/go-shamirsecretsharing/go.mod
--- a/go-shamirsecretsharing/go.sum
+++ b/go-shamirsecretsharing/go.sum
--- a/go-shamirsecretsharing/shamirsecretsharing.go
+++ b/go-shamirsecretsharing/shamirsecretsharing.go
--- a/go-shamirsecretsharing/shamirsecretsharing_test.go
+++ b/go-shamirsecretsharing/shamirsecretsharing_test.go
--- a/go-shamirsecretsharing/wasm/.gitignore
+++ b/go-shamirsecretsharing/wasm/.gitignore
@ -1,2 +1,3 @@
 node_modules
 package-lock.json
 wasm_exec.js
--- a/go-shamirsecretsharing/wasm/index.html
+++ b/go-shamirsecretsharing/wasm/index.html
@ -0,0 +1,23 @@
 <html>
 <head>
 	<meta charset="utf-8">
 	<title>shamirsecretsharing wasm</title>
 </head>
 <body>
 	<script src="wasm_exec.js"></script>
 	<script>
 		const go = new Go();
 		WebAssembly.instantiateStreaming(fetch('shamirsecretsharing.wasm'), go.importObject).then(function(dat) {
 		    go.run(dat.instance);
 		});
 	</script>
 	<input id="secret" value="123456789" title="secret" />
 	<input id="nShares" value="5" title="nShares" />
 	<input id="nNeededShares" value="3" title="nNeededShares" />
 	<input id="p" value="171879804367519690300554482894542984104793303095416535421575087397479872914568537681950898838967105588522810694196545562424558060609619552125935120277761650477937931034625352827489211639332858312433285611335853953593672332879461761823122965792721080501957411113790396112857552217933702513677475650967659977873" title="random p" />
 	<button onClick="callCreateShares();">Create Shares</button>
 	<textarea id="sharesResult" rows="15" style="width: 80%;">
 	</textarea>
 	<script src="index.js"></script>
 </body>
 </html>
--- a/go-shamirsecretsharing/wasm/index.js
+++ b/go-shamirsecretsharing/wasm/index.js
@ -0,0 +1,10 @@
 function callCreateShares() {
 	let secret = document.getElementById("secret").value;
 	let nShares = document.getElementById("nShares").value;
 	let nNeededShares = document.getElementById("nNeededShares").value;
 	let p = document.getElementById("p").value;
 	console.log(p)
 	let r = createShares(nNeededShares, nShares, p, secret);
 	console.log("r", r);
 }
--- a/go-shamirsecretsharing/wasm/package.json
+++ b/go-shamirsecretsharing/wasm/package.json
--- a/go-shamirsecretsharing/wasm/server.js
+++ b/go-shamirsecretsharing/wasm/server.js
--- a/go-shamirsecretsharing/wasm/shamirsecretsharing-wasm-wrapper.go
+++ b/go-shamirsecretsharing/wasm/shamirsecretsharing-wasm-wrapper.go
@ -1,7 +1,6 @@
 package main
 import (
 	"crypto/rand"
 	"math/big"
 	"syscall/js"
@ -35,11 +34,11 @@ func createShares(this js.Value, i []js.Value) interface{} {
 	if !ok {
 		println("error parsing parameter in position 2")
 	}
 	bits := 2048
 	p, err := rand.Prime(rand.Reader, bits/2) // move this out from wasm, it tooks too much time
 	if err != nil {
 		println(err.Error())
 	}
 	// bits := 2048
 	// p, err := rand.Prime(rand.Reader, bits/2) // move this out from wasm, it tooks too much time
 	// if err != nil {
 	//         println(err.Error())
 	// }
 	k, ok := new(big.Int).SetString(i[3].String(), 10)
 	if !ok {
 		println("error parsing parameter in position 3")
@ -56,7 +55,7 @@ func createShares(this js.Value, i []js.Value) interface{} {
 	println("shares", shares)
 	sharesStr := sharesToString(shares)
 	println("sharesStr", sharesStr)
 	return nil
 	return js.ValueOf(sharesStr)
 }
 func sharesToString(shares [][]*big.Int) []string {
@ -98,5 +97,5 @@ func lagrangeInterpolation(this js.Value, i []js.Value) interface{} {
 	secr := shamirsecretsharing.LagrangeInterpolation(p, shares)
 	println(secr.String())
 	return nil
 	return js.ValueOf(secr)
 }
--- a/go-shamirsecretsharing/wasm/shamirsecretsharing.wasm
+++ b/go-shamirsecretsharing/wasm/shamirsecretsharing.wasm
--- a/shamirsecretsharing-rs/.gitignore
+++ b/shamirsecretsharing-rs/.gitignore
@ -0,0 +1 @@
 /target
--- a/shamirsecretsharing-rs/Cargo.lock
+++ b/shamirsecretsharing-rs/Cargo.lock
@ -0,0 +1,273 @@
 # This file is automatically @generated by Cargo.
 # It is not intended for manual editing.
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--- a/shamirsecretsharing-rs/Cargo.toml
+++ b/shamirsecretsharing-rs/Cargo.toml
@ -0,0 +1,11 @@
 [package]
 name = "shamirsecretsharing-rs"
 version = "0.0.1"
 authors = ["arnaucube <arnaucube@gmail.com>"]
 edition = "2018"
 [dependencies]
 rand = "0.6.5"
 num = "0.2.0"
 num-bigint = {version = "0.2.2", features = ["rand"]}
 num-traits = "0.2.8"
--- a/shamirsecretsharing-rs/LICENSE
+++ b/shamirsecretsharing-rs/LICENSE
@ -0,0 +1,674 @@
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--- a/shamirsecretsharing-rs/README.md
+++ b/shamirsecretsharing-rs/README.md
@ -0,0 +1,21 @@
 # shamirsecretsharing-rs
 Shamir's Secret Sharing in Rust
 ## Usage
 ```rust
 // create 6 shares from k, given the rand p
 // where to recover will be needed 3 shares
 let s = create(3, 6, &p, &k);
 // now set 3 of the 6 shares, to be used to recover the secret
 let mut shares_to_use: Vec<[BigInt;2]> = Vec::new();
 shares_to_use.push(s[2].clone());
 shares_to_use.push(s[1].clone());
 shares_to_use.push(s[0].clone());
 // recover the secret using Lagrange Interpolation
 let r = lagrange_interpolation(&p, shares_to_use);
 assert_eq!(k, r);
 // r is the secret recovered (k)
 ```
--- a/shamirsecretsharing-rs/src/lib.rs
+++ b/shamirsecretsharing-rs/src/lib.rs
@ -0,0 +1,154 @@
 extern crate rand;
 extern crate num;
 extern crate num_bigint;
 extern crate num_traits;
 use num_bigint::RandBigInt;
 use num::pow::pow;
 use num_bigint::{BigInt, ToBigInt};
 use num_traits::{Zero, One};
 fn modulus(a: &BigInt, m: &BigInt) -> BigInt {
    ((a%m) + m) % m
 }
 pub fn create(t: u32, n: u32,p: &BigInt, k: &BigInt) -> Vec<[BigInt;2]> {
    // t: number of secrets needed
    // n: number of shares
    // p: random point
    // k: secret to share
    if k>p {
        println!("\nERROR: need k<p\n");
    }
    // generate base_polynomial
    let mut base_polynomial: Vec<BigInt> = Vec::new();
    base_polynomial.push(k.clone());
    for _ in 0..t as usize-1 {
        let mut rng = rand::thread_rng();
        let a = rng.gen_bigint(1024);
        base_polynomial.push(a);
    }
    // calculate shares, based on the base_polynomial
    let mut shares: Vec<BigInt> = Vec::new();
    for i in 1..n+1 {
        let mut p_res: BigInt = Zero::zero();
        let mut x = 0;
        for pol_elem in &base_polynomial {
            if x==0 {
                p_res = p_res + pol_elem;
            } else {
                let i_pow = pow(i, x);
                let curr_elem = i_pow * pol_elem;
                p_res = p_res + curr_elem;
                p_res = modulus(&p_res, p);
            }
            x = x+1;
        }
        shares.push(p_res);
    }
    pack_shares(shares)
 }
 fn pack_shares(shares: Vec<BigInt>) -> Vec<[BigInt;2]> {
    let mut r: Vec<[BigInt;2]> = Vec::new();
    for i in 0..shares.len() {
        let curr: [BigInt;2] = [shares[i].clone(), (i+1).to_bigint().unwrap()];
        r.push(curr);
    }
    r
 }
 fn unpack_shares(s: Vec<[BigInt;2]>) -> (Vec<BigInt>, Vec<BigInt>) {
    let mut shares: Vec<BigInt> = Vec::new();
    let mut is: Vec<BigInt> = Vec::new();
    for i in 0..s.len() {
        shares.push(s[i][0].clone());
        is.push(s[i][1].clone());
    }
    (shares, is)
 }
 fn mod_inverse(a: BigInt, module: BigInt) -> BigInt {
    // TODO search biguint impl of mod_inv
    let mut mn = (module.clone(), a);
    let mut xy: (BigInt, BigInt) = (Zero::zero(), One::one());
    let big_zero: BigInt = Zero::zero();
    while mn.1 != big_zero {
        xy = (xy.1.clone(), xy.0 - (mn.0.clone() / mn.1.clone()) * xy.1);
        mn = (mn.1.clone(), modulus(&mn.0, &mn.1));
    }
    while xy.0 < Zero::zero() {
        xy.0 += module.clone();
    }
    xy.0
 }
 pub fn lagrange_interpolation(p: &BigInt, shares_packed: Vec<[BigInt;2]>) -> BigInt {
    let mut res_n: BigInt = Zero::zero();
    let mut res_d: BigInt = Zero::zero();
    let (shares, sh_i) = unpack_shares(shares_packed);
    for i in 0..shares.len() {
        let mut lagrange_numerator: BigInt = One::one();
        let mut lagrange_denominator: BigInt = One::one();
        for j in 0..shares.len() {
            if shares[i] != shares[j] {
                let curr_l_numerator = &sh_i[j];
                let curr_l_denominator = &sh_i[j] - &sh_i[i];
                lagrange_numerator = lagrange_numerator * curr_l_numerator;
                lagrange_denominator = lagrange_denominator * curr_l_denominator;
            }
        }
        let numerator: BigInt = &shares[i] * &lagrange_numerator;
        let quo: BigInt = (&numerator / &lagrange_denominator) + (&lagrange_denominator ) % &lagrange_denominator;
        if quo != Zero::zero() {
            res_n = res_n + quo;
        } else {
            let res_n_mul_lagrange_den = res_n * &lagrange_denominator;
            res_n = res_n_mul_lagrange_den + numerator;
            res_d = res_d + lagrange_denominator;
        }
    }
    let modinv_mul: BigInt;
    if res_d != Zero::zero() {
        let modinv = mod_inverse(res_d, p.clone());
        modinv_mul = res_n * modinv;
    } else {
        modinv_mul = res_n;
    }
    let r = modulus(&modinv_mul, &p);
    r
 }
 #[cfg(test)]
 mod tests {
    use super::*;
    #[test]
    fn test_create_and_lagrange_interpolation() {
        let mut rng = rand::thread_rng();
        let p = rng.gen_biguint(1024).to_bigint().unwrap();
        println!("p: {:?}", p);
        let k = BigInt::parse_bytes(b"123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890", 10).unwrap();
        let s = create(3, 6, &p, &k);
        // println!("s: {:?}", s);
        let mut shares_to_use: Vec<[BigInt;2]> = Vec::new();
        shares_to_use.push(s[2].clone());
        shares_to_use.push(s[1].clone());
        shares_to_use.push(s[0].clone());
        let r = lagrange_interpolation(&p, shares_to_use);
        println!("recovered secret: {:?}", r.to_string());
        println!("original secret: {:?}", k.to_string());
        assert_eq!(k, r);
    }
 }
--- a/wasm/index.html
+++ b/wasm/index.html
@ -1,23 +0,0 @@
 <html>
 <head>
 	<meta charset="utf-8">
 	<title>shamirsecretsharing wasm</title>
 </head>
 <body>
 	<script src="wasm_exec.js"></script>
 	<script>
 		const go = new Go();
 		WebAssembly.instantiateStreaming(fetch('shamirsecretsharing.wasm'), go.importObject).then(function(dat) {
 		    go.run(dat.instance);
 		});
 	</script>
 	<input id="secret" value="123456789" />
 	<input id="nShares" value="5"/>
 	<input id="nNeededShares" value="3"/>
 	<input id="p" value="7"/>
 	<button onClick="callCreateShares();">Create Shares</button>
 	<textarea id="sharesResult" rows="10" style="width: 80%;">
 	</textarea>
 	<script src="index.js"></script>
 </body>
 </html>
--- a/wasm/index.js
+++ b/wasm/index.js
@ -1,8 +0,0 @@
 function callCreateShares() {
 	let secret = Number(document.getElementById("secret").value);
 	let nShares = Number(document.getElementById("nShares").value);
 	let nNeededShares = Number(document.getElementById("nNeededShares").value);
 	let p = Number(document.getElementById("p").value);
 	createShares(nNeededShares, nShares, p, secret);
 }