237 lines
7.5 KiB
Plaintext
237 lines
7.5 KiB
Plaintext
include "montgomery.circom";
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include "mux3.circom";
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include "babyjub.circom";
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template Window4() {
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signal input in[4];
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signal input base[2];
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signal output out[2];
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signal output out8[2]; // Returns 8*Base (To be linked)
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component mux = MultiMux3(2);
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mux.s[0] <== in[0];
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mux.s[1] <== in[1];
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mux.s[2] <== in[2];
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component dbl2 = MontgomeryDouble();
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component adr3 = MontgomeryAdd();
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component adr4 = MontgomeryAdd();
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component adr5 = MontgomeryAdd();
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component adr6 = MontgomeryAdd();
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component adr7 = MontgomeryAdd();
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component adr8 = MontgomeryAdd();
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// in[0] -> 1*BASE
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mux.c[0][0] <== base[0];
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mux.c[1][0] <== base[1];
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// in[1] -> 2*BASE
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dbl2.in[0] <== base[0];
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dbl2.in[1] <== base[1];
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mux.c[0][1] <== dbl2.out[0];
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mux.c[1][1] <== dbl2.out[1];
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// in[2] -> 3*BASE
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adr3.in1[0] <== base[0];
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adr3.in1[1] <== base[1];
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adr3.in2[0] <== dbl2.out[0];
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adr3.in2[1] <== dbl2.out[1];
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mux.c[0][2] <== adr3.out[0];
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mux.c[1][2] <== adr3.out[1];
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// in[3] -> 4*BASE
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adr4.in1[0] <== base[0];
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adr4.in1[1] <== base[1];
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adr4.in2[0] <== adr3.out[0];
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adr4.in2[1] <== adr3.out[1];
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mux.c[0][3] <== adr4.out[0];
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mux.c[1][3] <== adr4.out[1];
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// in[4] -> 5*BASE
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adr5.in1[0] <== base[0];
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adr5.in1[1] <== base[1];
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adr5.in2[0] <== adr4.out[0];
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adr5.in2[1] <== adr4.out[1];
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mux.c[0][4] <== adr5.out[0];
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mux.c[1][4] <== adr5.out[1];
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// in[5] -> 6*BASE
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adr6.in1[0] <== base[0];
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adr6.in1[1] <== base[1];
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adr6.in2[0] <== adr5.out[0];
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adr6.in2[1] <== adr5.out[1];
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mux.c[0][5] <== adr6.out[0];
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mux.c[1][5] <== adr6.out[1];
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// in[6] -> 7*BASE
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adr7.in1[0] <== base[0];
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adr7.in1[1] <== base[1];
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adr7.in2[0] <== adr6.out[0];
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adr7.in2[1] <== adr6.out[1];
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mux.c[0][6] <== adr7.out[0];
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mux.c[1][6] <== adr7.out[1];
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// in[7] -> 8*BASE
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adr8.in1[0] <== base[0];
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adr8.in1[1] <== base[1];
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adr8.in2[0] <== adr7.out[0];
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adr8.in2[1] <== adr7.out[1];
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mux.c[0][7] <== adr8.out[0];
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mux.c[1][7] <== adr8.out[1];
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out8[0] <== adr8.out[0];
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out8[1] <== adr8.out[1];
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out[0] <== mux.out[0];
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out[1] <== - mux.out[1]*2*in[3] + mux.out[1]; // Negate y if in[3] is one
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}
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template Segment(nWindows) {
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signal input in[nWindows*4];
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signal input base[2];
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signal output out[2];
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var i;
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var j;
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// Convert the base to montgomery
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component e2m = Edwards2Montgomery();
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e2m.in[0] <== base[0];
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e2m.in[1] <== base[1];
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component windows[nWindows];
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component doublers1[nWindows-1];
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component doublers2[nWindows-1];
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component adders[nWindows-1];
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for (i=0; i<nWindows; i++) {
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windows[i] = Window4();
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if (i==0) {
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windows[i].base[0] <== e2m.out[0];
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windows[i].base[1] <== e2m.out[1];
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} else {
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doublers1[i-1] = MontgomeryDouble();
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doublers2[i-1] = MontgomeryDouble();
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doublers1[i-1].in[0] <== windows[i-1].out8[0];
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doublers1[i-1].in[1] <== windows[i-1].out8[1];
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doublers2[i-1].in[0] <== doublers1[i-1].out[0];
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doublers2[i-1].in[1] <== doublers1[i-1].out[1];
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windows[i].base[0] <== doublers2[i-1].out[0];
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windows[i].base[1] <== doublers2[i-1].out[1];
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adders[i-1] = MontgomeryAdd();
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if (i==1) {
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adders[i-1].in1[0] <== windows[0].out[0];
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adders[i-1].in1[1] <== windows[0].out[1];
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} else {
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adders[i-1].in1[0] <== adders[i-2].out[0];
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adders[i-1].in1[1] <== adders[i-2].out[1];
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}
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adders[i-1].in2[0] <== windows[i].out[0];
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adders[i-1].in2[1] <== windows[i].out[1];
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}
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for (j=0; j<4; j++) {
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windows[i].in[j] <== in[4*i+j];
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}
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}
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component m2e = Montgomery2Edwards();
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if (nWindows > 1) {
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m2e.in[0] <== adders[nWindows-2].out[0];
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m2e.in[1] <== adders[nWindows-2].out[1];
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} else {
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m2e.in[0] <== windows[0].out[0];
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m2e.in[1] <== windows[0].out[1];
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}
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out[0] <== m2e.out[0];
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out[1] <== m2e.out[1];
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}
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template Pedersen(n) {
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signal input in[n];
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signal output out[2];
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var BASE = [
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[7889815880984390413826091016397158135734961432619494935997950708325418623781,8846020814737052626835496416415322522216827521798085437978304928900248828704],
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[12932435660254426850246080929365951045207624124386035886549006330955720993567,15876660444082442781217588393435527739441124986236154572507597829115005542086],
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[2482397177297734131621151094340467680859038448217226675361423673093734165962,10039279516804305991696249700635360957313934801940294703211894781106216299926],
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[17157815998940296936592098789990444736073034804807810484873853349962905015352,6488208869655503622669430389521947006738035600928015942696596112432120303604],
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[264004460746169389447419243214191481604172623204375600962322511417379874376,2415858116338771134001541482988382151008857516531390792628421155957250972277],
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[4135925743285698117252356077971179769271452015650275231796007492648697405139,10188226868678337759614729372197905253307539893323271103976079007344248400845],
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[1774758779250924961062140611815304699163957993414252473010092444201412186500,4347026286058522695608532575722049241297833321096891696953943795644684841805],
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[7879866447646097585900946926276218605564915618236971624614091698429769712458,2093592432852088858177276030443845730480437238346603396739626046140688969347],
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[8298560996095230984182228319122592575131718101813938808256495049817179791777,1767915891871602626938298102360238720016341966012238026281701463959008338852],
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[10415885340847357003805466620366840573458521568359796855704531856219635265921,3432650026491357206165099540731361444311747596326968441647905394914712226413]
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]
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var nSegments = ((n-1)\200)+1;
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component segments[nSegments];
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var i;
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var j;
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var nBits;
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var nWindows;
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for (i=0; i<nSegments; i++) {
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nBits = (i == (nSegments-1)) ? n - (nSegments-1)*200 : 200;
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nWindows = ((nBits - 1)\4)+1;
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segments[i] = Segment(nWindows);
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segments[i].base[0] <== BASE[i][0];
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segments[i].base[1] <== BASE[i][1];
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for (j = 0; j<nBits; j++) {
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segments[i].in[j] <== in[i*200+j];
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}
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// Fill padding bits
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for (j = nBits; j < nWindows*4; j++) {
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segments[i].in[j] <== 0;
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}
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}
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component adders[nSegments-1];
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for (i=0; i<nSegments-1; i++) {
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adders[i] = BabyAdd();
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if (i==0) {
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adders[i].x1 <== segments[0].out[0];
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adders[i].y1 <== segments[0].out[1];
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adders[i].x2 <== segments[1].out[0];
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adders[i].y2 <== segments[1].out[1];
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} else {
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adders[i].x1 <== adders[i-1].xout;
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adders[i].y1 <== adders[i-1].yout;
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adders[i].x2 <== segments[i+1].out[0];
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adders[i].y2 <== segments[i+1].out[1];
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}
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}
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/*
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coponent packPoint = PackPoint();
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if (nSegments>1) {
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packPoint.in[0] <== adders[nSegments-2].xout;
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packPoint.in[1] <== adders[nSegments-2].yout;
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} else {
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packPoint.in[0] <== segments[0].out[0];
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packPoint.in[1] <== segments[0].out[1];
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}
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out[0] <== packPoint.out[0];
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out[1] <== packPoint.out[1];
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*/
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if (nSegments>1) {
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out[0] <== adders[nSegments-2].xout;
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out[1] <== adders[nSegments-2].yout;
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} else {
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out[0] <== segments[0].out[0];
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out[1] <== segments[0].out[1];
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}
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}
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