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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 ┃◀─────┐ └───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │ │ │ │ │ ┌────┴────┐ ┏━━━┻━━━┓ ┌───────┐ bot │Old1Leaf │ ┌─────▶┃ Hash ┃◀──┼─ 0 │ └─────────┘ │ ┗━━━━━━━┛ └───────┘ │ │ ┏━━━━━━━┓ ┌───────┐ ┏━━━┻━━━┓ bot ┃ Hash ┃ │ 0 ─┼──▶┃ Hash ┃◀─────┐ ┗━━━━━━━┛ └───────┘ ┗━━━━━━━┛ │ │ │ ┏━━━━━━━┓ ┏━━━┻━━━┓ ┌───────┐ bot ┃ Hash ┃ ┌─────▶┃ Hash ┃◀──│ 0 │ ┗━━━━━━━┛ │ ┗━━━━━━━┛ └───────┘ │ │ ┏━━━━━━━┓ ┌─────────┐ ┏━━━┻━━━┓ ┌─────────┐ new1 ┃ Hash ┃ │Old1Leaf ├──▶┃ Hash ┃◀──│New1Leaf │ ┗━━━━━━━┛ └─────────┘ ┗━━━━━━━┛ └─────────┘
┏━━━━━━━┓ ┏━━━━━━━┓ na ┃ Hash ┃ ┃ Hash ┃ ┗━━━━━━━┛ ┗━━━━━━━┛
┏━━━━━━━┓ ┏━━━━━━━┓ na ┃ Hash ┃ ┃ Hash ┃ ┗━━━━━━━┛ ┗━━━━━━━┛
Fnctionfnc[0] fnc[1]0 0 NOP0 1 UPDATE1 0 INSERT1 1 DELETE
***************************************************************************************************/
include "../gates.circom";include "../bitify.circom";include "../comparators.circom";include "../switcher.circom";include "smtlevins.circom";include "smtinsertlevel.circom";include "smtinsertsm.circom";include "smthash.circom";
template SMTInsert(nLevels) { signal input oldRoot; signal input newRoot; signal input siblings[nLevels]; signal input oldKey; signal input oldValue; signal input isOld0; signal input newKey; signal input newValue; signal input fnc[2];
signal enabled;
enabled <== fnc[0] + fnc[1] - fnc[0]*fnc[1]
component hash1Old = SMTHash1(); hash1Old.key <== oldKey; hash1Old.value <== oldValue;
component hash1New = SMTHash1(); hash1New.key <== newKey; hash1New.value <== newValue;
component n2bOld = Num2Bits_strict(); component n2bNew = Num2Bits_strict();
n2bOld.in <== oldKey; n2bNew.in <== newKey;
component smtLevIns = SMTLevIns(nLevels); for (var i=0; i<nLevels; i++) smtLevIns.siblings[i] <== siblings[i]; smtLevIns.enabled <== enabled;
component xors[nLevels]; for (var i=0; i<nLevels; i++) { xors[i] = XOR(); xors[i].a <== n2bOld.out[i]; xors[i].b <== n2bNew.out[i]; }
component sm[nLevels]; for (var i=0; i<nLevels; i++) { sm[i] = SMTInsertSM(); if (i==0) { sm[i].prev_top <== enabled; sm[i].prev_old0 <== 0; sm[i].prev_bot <== 0; sm[i].prev_new1 <== 0; sm[i].prev_na <== 1-enabled; sm[i].prev_upd <== 0; } else { sm[i].prev_top <== sm[i-1].st_top; sm[i].prev_old0 <== sm[i-1].st_old0; sm[i].prev_bot <== sm[i-1].st_bot; sm[i].prev_new1 <== sm[i-1].st_new1; sm[i].prev_na <== sm[i-1].st_na; sm[i].prev_upd <== sm[i-1].st_upd; } sm[i].is0 <== isOld0; sm[i].xor <== xors[i].out; sm[i].fnc[0] <== fnc[0]; sm[i].fnc[1] <== fnc[1]; sm[i].levIns <== smtLevIns.levIns[i]; } sm[nLevels-1].st_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_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].st_upd <== sm[i].st_upd;
levels[i].sibling <== siblings[i]; levels[i].old1leaf <== hash1Old.out; levels[i].new1leaf <== hash1New.out;
levels[i].newlrbit <== 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; } }
component topSwitcher = Switcher();
topSwitcher.sel <== fnc[0]*fnc[1]; topSwitcher.L <== levels[0].oldRoot; topSwitcher.R <== levels[0].newRoot;
topSwitcher.outL === oldRoot*enabled; topSwitcher.outR === newRoot*enabled;}
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