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/***************************************************************************************************
Insert to an empty leaf
=======================
STATE OLD STATE NEW STATE
===== ========= =========
oldRoot newRoot
▲ ▲
│ │
┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓
top │Sibling├────▶┃ Hash ┃◀─┐ │Sibling├────▶┃ Hash ┃◀─┐
└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │
│ │
│ │
┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ ┌───────┐
top ┌─────▶┃ Hash ┃◀──┤Sibling│ ┌─────▶┃ Hash ┃◀──┤Sibling│
│ ┗━━━━━━━┛ └───────┘ │ ┗━━━━━━━┛ └───────┘
│ │
│ │
┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓
top │Sibling├──▶┃ Hash ┃◀─────┐ │Sibling├──▶┃ Hash ┃◀─────┐
└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │
│ │
│ │
┌────┴────┐ ┌────┴────┐
old0 │ 0 │ │New1Leaf │
└─────────┘ └─────────┘
┏━━━━━━━┓ ┏━━━━━━━┓
na ┃ Hash ┃ ┃ Hash ┃
┗━━━━━━━┛ ┗━━━━━━━┛
┏━━━━━━━┓ ┏━━━━━━━┓
na ┃ Hash ┃ ┃ Hash ┃
┗━━━━━━━┛ ┗━━━━━━━┛
Insert to a used leaf.
=====================
STATE OLD STATE NEW STATE
===== ========= =========
oldRoot newRoot
▲ ▲
│ │
┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓
top │Sibling├────▶┃ Hash ┃◀─┐ │Sibling├────▶┃ Hash ┃◀─┐
└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │
│ │
│ │
┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ ┌───────┐
top ┌─────▶┃ Hash ┃◀──┤Sibling│ ┌─────▶┃ Hash ┃◀──┤Sibling│
│ ┗━━━━━━━┛ └───────┘ │ ┗━━━━━━━┛ └───────┘
│ │
│ │
┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓
top │Sibling├──▶┃ Hash ┃◀─────┐ │Sibling├──▶┃ Hash ┃◀─────┐
└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │
│ │
│ │
┌────┴────┐ ┏━━━┻━━━┓ ┌───────┐
old1 │Old1Leaf │ ┌─────▶┃ Hash ┃◀──┼─ 0 │
└─────────┘ │ ┗━━━━━━━┛ └───────┘
┏━━━━━━━┓ ┌───────┐ ┏━━━┻━━━┓
bot ┃ Hash ┃ │ 0 ─┼──▶┃ Hash ┃◀─────┐
┗━━━━━━━┛ └───────┘ ┗━━━━━━━┛ │
┏━━━━━━━┓ ┏━━━┻━━━┓ ┌───────┐
bot ┃ Hash ┃ ┌─────▶┃ Hash ┃◀──│ 0 │
┗━━━━━━━┛ │ ┗━━━━━━━┛ └───────┘
┏━━━━━━━┓ ┌─────────┐ ┏━━━┻━━━┓ ┌─────────┐
new1 ┃ Hash ┃ │Old1Leaf ├──▶┃ Hash ┃◀──│New1Leaf │
┗━━━━━━━┛ └─────────┘ ┗━━━━━━━┛ └─────────┘
┏━━━━━━━┓ ┏━━━━━━━┓
na ┃ Hash ┃ ┃ Hash ┃
┗━━━━━━━┛ ┗━━━━━━━┛
┏━━━━━━━┓ ┏━━━━━━━┓
na ┃ Hash ┃ ┃ Hash ┃
┗━━━━━━━┛ ┗━━━━━━━┛
***************************************************************************************************/
include "../node_modules/circom/circuits/gates.circom";
include "../node_modules/circom/circuits/bitify.circom";
template SMTInsert(nLevels) {
signal input oldRoot;
signal input newRoot;
signal input siblings[nLevels];
signal input oldHKey;
signal input oldHValue;
signal input newHKey;
signal input newHValue;
component hash1Old = SMTHash1();
hash1Old.l <== oldHKey;
hash1Old.r <== oldHValue;
component hash1New = SMTHash1();
hash1New.l <== newHKey;
hash1New.r <== newHValue;
component n2bOld = Num2BinStrinct();
component n2bNew = Num2BinStrinct();
component dmtLevIns = SMTLevIns(nLevels);
for (var i=0; i<nLevels; i++) dmtLevIns.siblings[i] <== siblings[i];
component xors[nLevels];
for (var i=0; i<nLevels; i++) {
xors[i] = XOR();
xors[i].a <== n2bOld.out[i];
xors[i].a <== n2bNew.out[i];
}
component isOld0 = IsZero();
isOld0.in <== oldHValue;
component sm[nLevels];
for (var i=0; i<sm; i++) {
sm[i] = SMTInsertSM();
if (i==0) {
sm[i].prevst_top <== 1;
sm[i].prevst_old1 <== 0;
sm[i].prevst_old0 <== 0;
sm[i].prevst_bot <== 0;
sm[i].prevst_new1 <== 0;
sm[i].prevst_na <== 0;
} else {
sm[i].prevst_top <== sm[i-1].st_top;
sm[i].prevst_old1 <== sm[i-1].st_old1;
sm[i].prevst_old0 <== sm[i-1].st_old0;
sm[i].prevst_bot <== sm[i-1].st_bot;
sm[i].prevst_new1 <== sm[i-1].st_new1;
sm[i].prevst_na <== sm[i-1].st_na;
}
sm[i].is0 <== isOld0.out;
sm[i].xor <== xors[i].out;
sm[i].levIns <== dmtLevIns.out[i];
}
sm[nLevels-1].prevst_na === 1;
component levels[nLevels];
for (var i=nLevels-1; i != -1; i--) {
levels[i] = SMTInsertLevel();
levels[i].st_top <== sm[i].st_top;
levels[i].st_old1 <== sm[i].st_old1;
levels[i].st_old0 <== sm[i].st_old0;
levels[i].st_bot <== sm[i].st_bot;
levels[i].st_new1 <== sm[i].st_new1;
levels[i].st_na <==sm[i].st_na;
levels[i].sibling <== siblings[i];
levels[i].old1leaf <== hash1Old.out;
levels[i].new1leaf <== hash1New.out;
levels[i].new1lrbit <== n2bNew.out[i];
if (i==nLevels-1) {
levels[i].oldChild <== 0;
levels[i].newChild <== 0;
} else {
levels[i].oldChild <== levels[i+1].oldRoot;
levels[i].newChild <== levels[i+1].newRoot;
}
}
levels[0].oldRoot === oldRoot;
levels[0].newRoot === newRoot;
}