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Jordi Baylina 2018-12-06 12:13:27 +01:00
parent 2ef25591b6
commit 2cab572c66
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12 changed files with 277 additions and 347 deletions
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14
circuit/aliascheck.circom
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@ -1,14 +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;
}

56
circuit/compconstant.circom
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@ -1,56 +0,0 @@
include "../node_modules/circom/circuits/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];
}

4
circuit/eddsa.circom
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@ -1,6 +1,6 @@
include "compconstant.circom";
include "../node_modules/circom/circuits/compconstant.circom";
include "pointbits.circom";
include "pedersen2.circom";
include "pedersen.circom";
include "escalarmulany.circom";
include "escalarmulfix.circom";

246
circuit/pedersen.circom
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@ -1,48 +1,236 @@
include "montgomery.circom";
include "mux3.circom";
include "babyjub.circom";
include "escalarmul.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();
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];
}
for (j=0; j<4; j++) {
windows[i].in[j] <== in[4*i+j];
}
}
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 nexps = ((n-1) \ 250) + 1;
var nlastbits = n - (nexps-1)*250;
var BASE = [
[7889815880984390413826091016397158135734961432619494935997950708325418623781,8846020814737052626835496416415322522216827521798085437978304928900248828704],
[12932435660254426850246080929365951045207624124386035886549006330955720993567,15876660444082442781217588393435527739441124986236154572507597829115005542086],
[2482397177297734131621151094340467680859038448217226675361423673093734165962,10039279516804305991696249700635360957313934801940294703211894781106216299926],
[17157815998940296936592098789990444736073034804807810484873853349962905015352,6488208869655503622669430389521947006738035600928015942696596112432120303604],
[264004460746169389447419243214191481604172623204375600962322511417379874376,2415858116338771134001541482988382151008857516531390792628421155957250972277],
[4135925743285698117252356077971179769271452015650275231796007492648697405139,10188226868678337759614729372197905253307539893323271103976079007344248400845],
[1774758779250924961062140611815304699163957993414252473010092444201412186500,4347026286058522695608532575722049241297833321096891696953943795644684841805],
[7879866447646097585900946926276218605564915618236971624614091698429769712458,2093592432852088858177276030443845730480437238346603396739626046140688969347],
[8298560996095230984182228319122592575131718101813938808256495049817179791777,1767915891871602626938298102360238720016341966012238026281701463959008338852],
[10415885340847357003805466620366840573458521568359796855704531856219635265921,3432650026491357206165099540731361444311747596326968441647905394914712226413]
]
component escalarMuls[nexps];
var nSegments = ((n-1)\200)+1;
var PBASE = [
[ 6842263847932328569390632736104801120816056295876316310227967232893658007436,
10520112236148895828506510766039255961372323270202387671483666293012156799229],
[ 7512553369533424708326990019377586455744651641787163924108944444109352325495,
242060483180498555826438209654403949979206323274480625257315595534333598496],
[ 480315709862415282411588615813248553518720286084247594626493599605932342246,
15016559215090999873142530067666085992648246670781771102893391410239675444873],
[ 8311398801616893527636419786153024398643144699386228070202625261657263599049,
11125962584728296601438821974884453267303385157860713577195820780853779600315],
[ 1924118814882677827825936037840538695314492559747259292440881566152665343441,
17232376423406964731689089286495480735310130852288107159412732879983310795144]
];
component segments[nSegments];
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];
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) {
escalarMuls[i].inp[0] <== 0;
escalarMuls[i].inp[1] <== 1;
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 {
escalarMuls[i].inp[0] <== escalarMuls[i-1].out[0];
escalarMuls[i].inp[1] <== escalarMuls[i-1].out[1];
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];
}
}
escalarMuls[nexps-1].out[0] ==> out[0];
escalarMuls[nexps-1].out[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];
}
}

236
circuit/pedersen2.circom
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@ -1,236 +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();
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];
}
for (j=0; j<4; j++) {
windows[i].in[j] <== in[4*i+j];
}
}
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 = [
[7889815880984390413826091016397158135734961432619494935997950708325418623781,8846020814737052626835496416415322522216827521798085437978304928900248828704],
[12932435660254426850246080929365951045207624124386035886549006330955720993567,15876660444082442781217588393435527739441124986236154572507597829115005542086],
[2482397177297734131621151094340467680859038448217226675361423673093734165962,10039279516804305991696249700635360957313934801940294703211894781106216299926],
[17157815998940296936592098789990444736073034804807810484873853349962905015352,6488208869655503622669430389521947006738035600928015942696596112432120303604],
[264004460746169389447419243214191481604172623204375600962322511417379874376,2415858116338771134001541482988382151008857516531390792628421155957250972277],
[4135925743285698117252356077971179769271452015650275231796007492648697405139,10188226868678337759614729372197905253307539893323271103976079007344248400845],
[1774758779250924961062140611815304699163957993414252473010092444201412186500,4347026286058522695608532575722049241297833321096891696953943795644684841805],
[7879866447646097585900946926276218605564915618236971624614091698429769712458,2093592432852088858177276030443845730480437238346603396739626046140688969347],
[8298560996095230984182228319122592575131718101813938808256495049817179791777,1767915891871602626938298102360238720016341966012238026281701463959008338852],
[10415885340847357003805466620366840573458521568359796855704531856219635265921,3432650026491357206165099540731361444311747596326968441647905394914712226413]
]
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];
}
}

48
circuit/pedersen_old.circom Normal file
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@ -0,0 +1,48 @@
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 = [
[ 6842263847932328569390632736104801120816056295876316310227967232893658007436,
10520112236148895828506510766039255961372323270202387671483666293012156799229],
[ 7512553369533424708326990019377586455744651641787163924108944444109352325495,
242060483180498555826438209654403949979206323274480625257315595534333598496],
[ 480315709862415282411588615813248553518720286084247594626493599605932342246,
15016559215090999873142530067666085992648246670781771102893391410239675444873],
[ 8311398801616893527636419786153024398643144699386228070202625261657263599049,
11125962584728296601438821974884453267303385157860713577195820780853779600315],
[ 1924118814882677827825936037840538695314492559747259292440881566152665343441,
17232376423406964731689089286495480735310130852288107159412732879983310795144]
];
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];
}

4
circuit/pointbits.circom
View File

@ -1,6 +1,6 @@
include "../node_modules/circom/circuits/bitify.circom";
include "aliascheck.circom";
include "compconstant.circom";
include "../node_modules/circom/circuits/aliascheck.circom";
include "../node_modules/circom/circuits/compconstant.circom";
include "babyjub.circom";

2
circuit/sign.circom
View File

@ -1,4 +1,4 @@
include "compconstant.circom";
include "../node_modules/circom/circuits/compconstant.circom";
template Sign() {
signal input in[254];

2
test/circuits/aliascheck_test.circom
View File

@ -1,3 +1,3 @@
include "../../circuit/aliascheck.circom";
include "../../node_modules/circom/circuits/aliascheck.circom";
component main = AliasCheck()

2
test/circuits/pedersen2_test.circom
View File

@ -1,4 +1,4 @@
include "../../circuit/pedersen2.circom";
include "../../circuit/pedersen.circom";
include "../../node_modules/circom/circuits/bitify.circom";

2
test/circuits/pedersen_test.circom
View File

@ -1,4 +1,4 @@
include "../../circuit/pedersen.circom";
include "../../circuit/pedersen_old.circom";
include "../../node_modules/circom/circuits/bitify.circom";

2
test/sign.js
View File

@ -25,7 +25,7 @@ function getBits(v, n) {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
describe("Aliascheck test", () => {
describe("Sign test", () => {
let circuit;
before( async() => {
const cirDef = await compiler(path.join(__dirname, "circuits", "sign_test.circom"));