From e6f5201b178f40b516ffe7b98757df25f8aee028 Mon Sep 17 00:00:00 2001 From: Wei-Ning Huang Date: Sun, 23 Jun 2019 15:39:23 +0800 Subject: import: switch consensus core to gitlab.com/tangerine-network/tangerine-consensus --- .../tangerine-network/mcl/ffi/java/java.md | 95 ++++++++++++++++++++++ 1 file changed, 95 insertions(+) create mode 100644 vendor/github.com/tangerine-network/mcl/ffi/java/java.md (limited to 'vendor/github.com/tangerine-network/mcl/ffi/java/java.md') diff --git a/vendor/github.com/tangerine-network/mcl/ffi/java/java.md b/vendor/github.com/tangerine-network/mcl/ffi/java/java.md new file mode 100644 index 000000000..3fe861351 --- /dev/null +++ b/vendor/github.com/tangerine-network/mcl/ffi/java/java.md @@ -0,0 +1,95 @@ +# JNI for mcl (experimental) +This library provides functionality to compute the optimal ate pairing +over Barreto-Naehrig (BN) curves. + +# Initialization +Load the library `mcl_bn256`. +``` +import com.herumi.mcl.*; + +System.loadLibrary("mcl_bn256"); +``` + +# Classes +* `G1` ; The cyclic group instantiated as E(Fp)[r] where where r = p + 1 - t. +* `G2` ; The cyclic group instantiated as the inverse image of E'(Fp^2)[r]. +* `GT` ; The cyclic group in the image of the optimal ate pairing. + * `e : G1 x G2 -> GT` +* `Fr` ; The finite field with characteristic r. + +# Methods and Functions +## Fr +* `Fr::setInt(int x)` ; set by x +* `Fr::setStr(String str)` ; set by str such as "123", "0xfff", etc. +* `Fr::setRand()` ; randomly set +* `Bn256.neg(Fr y, Fr x)` ; `y = -x` +* `Bn256.add(Fr z, Fr x, Fr y)` ; `z = x + y` +* `Bn256.sub(Fr z, Fr x, Fr y)` ; `z = x - y` +* `Bn256.mul(Fr z, Fr x, Fr y)` ; `z = x * y` +* `Bn256.div(Fr z, Fr x, Fr y)` ; `z = x / y` + +## G1 + +* `G1::set(String x, String y)` ; set by (x, y) +* `G1::hashAndMapToG1(String m)` ; take SHA-256 of m and map it to an element of G1 +* `G1::setStr(String str)` ; set by the result of `toString()` method +* `Bn256.neg(G1 y, G1 x)` ; `y = -x` +* `Bn256.dbl(G1 y, G1 x)` ; `y = 2x` +* `Bn256.add(G1 z, G1 x, G1 y)` ; `z = x + y` +* `Bn256.sub(G1 z, G1 x, G1 y)` ; `z = x - y` +* `Bn256.mul(G1 z, G1 x, Fr y)` ; `z = x * y` + +## G2 + +* `G2::set(String xa, String xb, String ya, String yb)` ; set by ((xa, xb), (ya, yb)) +* `G2::setStr(String str)` ; set by the result of `toString()` method +* `Bn256.neg(G2 y, G2 x)` ; `y = -x` +* `Bn256.dbl(G2 y, G2 x)` ; `y = 2x` +* `Bn256.add(G2 z, G2 x, G2 y)` ; `z = x + y` +* `Bn256.sub(G2 z, G2 x, G2 y)` ; `z = x - y` +* `Bn256.mul(G2 z, G2 x, Fr y)` ; `z = x * y` + +## GT + +* `GT::setStr(String str)` ; set by the result of `toString()` method +* `Bn256.mul(GT z, GT x, GT y)` ; `z = x * y` +* `Bn256.pow(GT z, GT x, Fr y)` ; `z = x ^ y` + +## pairing +* `Bn256.pairing(GT e, G1 P, G2 Q)` ; e = e(P, Q) + +# BLS signature sample +``` +String xa = "12723517038133731887338407189719511622662176727675373276651903807414909099441"; +String xb = "4168783608814932154536427934509895782246573715297911553964171371032945126671"; +String ya = "13891744915211034074451795021214165905772212241412891944830863846330766296736"; +String yb = "7937318970632701341203597196594272556916396164729705624521405069090520231616"; + +G2 Q = new G2(xa, xb, ya, yb); // fixed point of G2 + +Fr s = new Fr(); +s.setRand(); // secret key +G2 pub = new G2(); +Bn256.mul(pub, Q, s); // public key = sQ + +String m = "signature test"; +G1 H = new G1(); +H.hashAndMapToG1(m); // H = Hash(m) +G1 sign = new G1(); +Bn256.mul(sign, H, s); // signature of m = s H + +GT e1 = new GT(); +GT e2 = new GT(); +Bn256.pairing(e1, H, pub); // e1 = e(H, s Q) +Bn256.pairing(e2, sign, Q); // e2 = e(s H, Q); +assertBool("verify signature", e1.equals(e2)); +``` + +# Make test +``` +cd java +make test_bn256 +``` + +# Sample code +[Bn256Test.java](https://github.com/herumi/mcl/blob/master/java/Bn256Test.java) -- cgit