@ -8,11 +8,106 @@ import (
"math/big"
"strings"
"testing"
"time"
)
func TestNewProgramm ( t * testing . T ) {
type InOut struct {
inputs [ ] * big . Int
result * big . Int
}
type TraceCorrectnessTest struct {
code string
io [ ] InOut
}
var bigNumberResult1 , _ = new ( big . Int ) . SetString ( "2297704271284150716235246193843898764109352875" , 10 )
var bigNumberResult2 , _ = new ( big . Int ) . SetString ( "75263346540254220740876250" , 10 )
flat := `
var correctnesTest = [ ] TraceCorrectnessTest {
//{
// io: []InOut{{
// inputs: []*big.Int{big.NewInt(int64(7)), big.NewInt(int64(11))},
// result: big.NewInt(int64(1729500084900343)),
// }, {
// inputs: []*big.Int{big.NewInt(int64(365235)), big.NewInt(int64(11876525))},
//
// result: bigNumberResult1,
// }},
// code: `
//def main( x , z ) :
// out = do(z) + add(x,x)
//
//def do(x):
// e = x * 5
// b = e * 6
// c = b * 7
// f = c * 1
// d = c * f
// out = d * mul(d,e)
//
//def add(x ,k):
// z = k * x
// out = do(x) + mul(x,z)
//
//
//def mul(a,b):
// out = a * b
//`,
//},
//{io: []InOut{{
// inputs: []*big.Int{big.NewInt(int64(7))},
// result: big.NewInt(int64(4)),
//}},
// code: `
//def mul(a,b):
// out = a * b
//
//def main(a):
// b = a * a
// c = 4 - b
// d = 5 * c
// out = mul(d,c) / mul(b,b)
//`,
//},
//{io: []InOut{{
// inputs: []*big.Int{big.NewInt(int64(7)), big.NewInt(int64(11))},
// result: big.NewInt(int64(22638)),
//}, {
// inputs: []*big.Int{big.NewInt(int64(365235)), big.NewInt(int64(11876525))},
// result: bigNumberResult2,
//}},
// code: `
//def main(a,b):
// d = b + b
// c = a * d
// e = c - a
// out = e * c
//`,
//},
//{
// io: []InOut{{
// inputs: []*big.Int{big.NewInt(int64(643)), big.NewInt(int64(76548465))},
// result: big.NewInt(int64(98441327276)),
// }, {
// inputs: []*big.Int{big.NewInt(int64(365235)), big.NewInt(int64(11876525))},
// result: big.NewInt(int64(8675445947220)),
// }},
// code: `
//def main(a,b):
// c = a + b
// e = c - a
// f = e + b
// g = f + 2
// out = g * a
//`,
//},
{
io : [ ] InOut { {
inputs : [ ] * big . Int { big . NewInt ( int64 ( 3 ) ) , big . NewInt ( int64 ( 5 ) ) , big . NewInt ( int64 ( 7 ) ) , big . NewInt ( int64 ( 11 ) ) } ,
result : big . NewInt ( int64 ( 444675 ) ) ,
} } ,
code : `
def main ( a , b , c , d ) :
e = a * b
f = c * d
@ -20,106 +115,115 @@ func TestNewProgramm(t *testing.T) {
h = g / e
i = h * 5
out = g * i
`
` ,
} ,
}
parser := circuitcompiler . NewParser ( strings . NewReader ( flat ) )
program , err := parser . Parse ( )
func TestGenerateAndVerifyProof ( t * testing . T ) {
for _ , test := range correctnesTest {
parser := circuitcompiler . NewParser ( strings . NewReader ( test . code ) )
program , err := parser . Parse ( )
if err != nil {
panic ( err )
}
fmt . Println ( "\n unreduced" )
fmt . Println ( test . code )
program . BuildConstraintTrees ( )
program . PrintContraintTrees ( )
fmt . Println ( "\nReduced gates" )
//PrintTree(froots["mul"])
gates := program . ReduceCombinedTree ( )
for _ , g := range gates {
fmt . Println ( g )
}
fmt . Println ( "generating R1CS" )
//NOTE MOVE DOES NOTHING CURRENTLY
r1cs := moveOutputToBegining ( program . GenerateReducedR1CS ( gates ) )
//[[0 1 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0 0] [0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 0 0 1 0] [0 0 0 0 0 0 0 1 0 0]]
//[[0 0 1 0 0 0 0 0 0 0] [0 0 0 0 1 0 0 0 0 0] [0 0 0 0 0 0 1 0 0 0] [0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 0 0 5 0]]
//[[0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 1 0 0 0] [0 0 0 0 0 0 0 1 0 0] [0 0 0 0 0 0 0 1 0 0] [0 0 0 0 0 0 0 0 0 1]]
a , b , c := r1cs . A , r1cs . B , r1cs . C
fmt . Println ( a )
fmt . Println ( b )
fmt . Println ( c )
// R1CS to QAP
alphas , betas , gammas , domain := Utils . PF . R1CSToQAP ( a , b , c )
fmt . Println ( "QAP array lengths" )
fmt . Println ( "alphas" , len ( alphas ) )
fmt . Println ( "betas" , len ( betas ) )
fmt . Println ( "gammas" , len ( gammas ) )
fmt . Println ( "domain polynomial " , len ( domain ) )
before := time . Now ( )
//calculate trusted setup
setup , err := GenerateTrustedSetup ( len ( alphas [ 0 ] ) , alphas , betas , gammas )
fmt . Println ( "Generate CRS time elapsed:" , time . Since ( before ) )
assert . Nil ( t , err )
fmt . Println ( "\nt:" , setup . Toxic . T )
for _ , io := range test . io {
inputs := io . inputs
fmt . Println ( "input" )
fmt . Println ( inputs )
w := circuitcompiler . CalculateWitness ( inputs , r1cs )
fmt . Println ( "\nwitness" , w )
//NOTE MOVE DOES NOTHING
w = moveWitnessOutputAfterInputs ( program . GlobalInputCount ( ) , w )
fmt . Println ( "\nwitness Reordered " , w )
assert . Equal ( t , io . result , w [ len ( w ) - 1 ] )
ax , bx , cx , px := Utils . PF . CombinePolynomials ( w , alphas , betas , gammas )
fmt . Println ( "ax length" , len ( ax ) )
fmt . Println ( "bx length" , len ( bx ) )
fmt . Println ( "cx length" , len ( cx ) )
fmt . Println ( "px length" , len ( px ) )
hxQAP := Utils . PF . DivisorPolynomial ( px , domain )
fmt . Println ( "hx length" , len ( hxQAP ) )
// hx==px/zx so px==hx*zx
assert . Equal ( t , px , Utils . PF . Mul ( hxQAP , domain ) )
// p(x) = a(x) * b(x) - c(x) == h(x) * z(x)
abc := Utils . PF . Sub ( Utils . PF . Mul ( ax , bx ) , cx )
assert . Equal ( t , abc , px )
div , rem := Utils . PF . Div ( px , domain )
assert . Equal ( t , hxQAP , div ) //not necessary, since DivisorPolynomial is Div, just discarding 'rem'
assert . Equal ( t , rem , r1csqap . ArrayOfBigZeros ( len ( px ) - len ( domain ) ) )
//// zx and setup.Pk.Z should be the same (currently not, the correct one is the calculation used inside GenerateTrustedSetup function), the calculation is repeated. TODO avoid repeating calculation
//assert.Equal(t, domain, setup.Pk.Z)
hx := Utils . PF . DivisorPolynomial ( px , setup . Pk . Z )
// assert.Equal(t, hxQAP, hx)
assert . Equal ( t , px , Utils . PF . Mul ( hxQAP , domain ) )
assert . Equal ( t , px , Utils . PF . Mul ( hx , setup . Pk . Z ) )
assert . Equal ( t , len ( hx ) , len ( px ) - len ( setup . Pk . Z ) + 1 )
assert . Equal ( t , len ( hxQAP ) , len ( px ) - len ( domain ) + 1 )
before := time . Now ( )
// piA = g1 * A(t), piB = g2 * B(t), piC = g1 * C(t), piH = g1 * H(t)
proof , err := GenerateProofs ( setup , program . GlobalInputCount ( ) , w , px )
fmt . Println ( "proof generation time elapsed:" , time . Since ( before ) )
assert . Nil ( t , err )
before = time . Now ( )
assert . True ( t , VerifyProof ( setup , proof , append ( w [ 1 : program . GlobalInputCount ( ) ] , w [ len ( w ) - 1 ] ) , true ) )
fmt . Println ( "verify proof time elapsed:" , time . Since ( before ) )
}
if err != nil {
panic ( err )
}
fmt . Println ( "\n unreduced" )
fmt . Println ( flat )
program . BuildConstraintTrees ( )
program . PrintContraintTrees ( )
fmt . Println ( "\nReduced gates" )
//PrintTree(froots["mul"])
gates := program . ReduceCombinedTree ( )
for _ , g := range gates {
fmt . Println ( g )
}
fmt . Println ( "generating R1CS" )
r1cs := program . GenerateReducedR1CS ( gates )
//[[0 1 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0 0] [0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 0 0 1 0] [0 0 0 0 0 0 0 1 0 0]]
//[[0 0 1 0 0 0 0 0 0 0] [0 0 0 0 1 0 0 0 0 0] [0 0 0 0 0 0 1 0 0 0] [0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 0 0 5 0]]
//[[0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 1 0 0 0] [0 0 0 0 0 0 0 1 0 0] [0 0 0 0 0 0 0 1 0 0] [0 0 0 0 0 0 0 0 0 1]]
a1 := big . NewInt ( int64 ( 6 ) )
a2 := big . NewInt ( int64 ( 5 ) )
inputs := [ ] * big . Int { a1 , a2 , a1 , a2 }
w := circuitcompiler . CalculateWitness ( inputs , r1cs )
r1csReordered , wReordered := RelocateOutput ( program . GlobalInputCount ( ) , r1cs , w )
a , b , c := r1csReordered . A , r1csReordered . B , r1csReordered . C
fmt . Println ( a )
fmt . Println ( b )
fmt . Println ( c )
// R1CS to QAP
alphas , betas , gammas , domain := Utils . PF . R1CSToQAP ( a , b , c )
fmt . Println ( "QAP array lengths" )
fmt . Println ( "alphas" , len ( alphas ) )
fmt . Println ( "betas" , len ( betas ) )
fmt . Println ( "gammas" , len ( gammas ) )
fmt . Println ( "domain polynomial " , len ( domain ) )
ax , bx , cx , px := Utils . PF . CombinePolynomials ( wReordered , alphas , betas , gammas )
fmt . Println ( "ax length" , len ( ax ) )
fmt . Println ( "bx length" , len ( bx ) )
fmt . Println ( "cx length" , len ( cx ) )
fmt . Println ( "px length" , len ( px ) )
hxQAP := Utils . PF . DivisorPolynomial ( px , domain )
fmt . Println ( "hx length" , hxQAP )
// hx==px/zx so px==hx*zx
assert . Equal ( t , px , Utils . PF . Mul ( hxQAP , domain ) )
// p(x) = a(x) * b(x) - c(x) == h(x) * z(x)
abc := Utils . PF . Sub ( Utils . PF . Mul ( ax , bx ) , cx )
assert . Equal ( t , abc , px )
div , rem := Utils . PF . Div ( px , domain )
assert . Equal ( t , hxQAP , div ) //not necessary, since DivisorPolynomial is Div, just discarding 'rem'
assert . Equal ( t , rem , r1csqap . ArrayOfBigZeros ( len ( px ) - len ( domain ) ) )
//calculate trusted setup
setup , err := GenerateTrustedSetup ( len ( w ) , alphas , betas , gammas )
assert . Nil ( t , err )
fmt . Println ( "\nt:" , setup . Toxic . T )
//
//// zx and setup.Pk.Z should be the same (currently not, the correct one is the calculation used inside GenerateTrustedSetup function), the calculation is repeated. TODO avoid repeating calculation
//assert.Equal(t, domain, setup.Pk.Z)
fmt . Println ( "hx pk.z" , hxQAP )
hx := Utils . PF . DivisorPolynomial ( px , setup . Pk . Z )
fmt . Println ( "hx pk.z" , hx )
// assert.Equal(t, hxQAP, hx)
assert . Equal ( t , px , Utils . PF . Mul ( hxQAP , domain ) )
assert . Equal ( t , px , Utils . PF . Mul ( hx , setup . Pk . Z ) )
assert . Equal ( t , len ( hx ) , len ( px ) - len ( setup . Pk . Z ) + 1 )
assert . Equal ( t , len ( hxQAP ) , len ( px ) - len ( domain ) + 1 )
// fmt.Println("pk.Z", len(setup.Pk.Z))
// fmt.Println("zxQAP", len(zxQAP))
// piA = g1 * A(t), piB = g2 * B(t), piC = g1 * C(t), piH = g1 * H(t)
proof , err := GenerateProofs ( setup , program . GlobalInputCount ( ) , wReordered , px )
assert . Nil ( t , err )
// fmt.Println("\n proofs:")
// fmt.Println(proof)
// fmt.Println("public signals:", proof.PublicSignals)
fmt . Println ( "\nwitness" , w )
fmt . Println ( "\nwitness Reordered " , wReordered )
// b1 := big.NewInt(int64(1))
//b35 := big.NewInt(int64(35))
//// publicSignals := []*big.Int{b1, b35}
//publicSignals := []*big.Int{b35}
//before := time.Now()
assert . True ( t , VerifyProof ( setup , proof , wReordered [ : program . GlobalInputCount ( ) ] , true ) )
//fmt.Println("verify proof time elapsed:", time.Since(before))
}