ZK-COUNTERS TABLE
ZK-COUNTERS TABLE
opcode | name | cnt_arith | cnt_binary | cnt_mem_align | cnt_keccak_f | cnt_padding_pg | cnt_poseidon_g | is_dynamic |
---|---|---|---|---|---|---|---|---|
0x00 | STOP | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x01 | ADD | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x02 | MUL | 1 | 0 | 0 | 0 | 0 | 0 | false |
0x03 | SUB | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x04 | DIV | 1 | 2 | 0 | 0 | 0 | 0 | false |
0x05 | SDIV | 1 | 8 | 0 | 0 | 0 | 0 | false |
0x06 | MOD | 1 | 2 | 0 | 0 | 0 | 0 | false |
0x07 | SMOD | 1 | 8 | 0 | 0 | 0 | 0 | false |
0x08 | ADDMOD | 1 | 3 | 0 | 0 | 0 | 0 | false |
0x09 | MULMOD | 2 | 2 | 0 | 0 | 0 | 0 | false |
0x0a | EXP | 512 | 1025 | 0 | 0 | 0 | 0 | true |
0x0b | SIGNEXTEND | 0 | 6 | 0 | 0 | 0 | 0 | false |
0x10 | LT | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x11 | GT | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x12 | SLT | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x13 | SGT | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x14 | EQ | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x15 | ISZERO | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x16 | AND | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x17 | OR | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x18 | XOR | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x19 | NOT | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x1a | BYTE | 2 | 4 | 0 | 0 | 0 | 0 | false |
0x1b | SHL | 1 | 2 | 0 | 0 | 0 | 0 | false |
0x1c | SHR | 1 | 3 | 0 | 0 | 0 | 0 | false |
0x1d | SAR | 2 | 10 | 0 | 0 | 0 | 0 | false |
0x20 | SHA3 | 192 | 193 | 2 | 2 | 0 | 10 | true |
0x30 | ADDRESS | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x31 | BALANCE | 0 | 0 | 0 | 0 | 0 | 9 | false |
0x32 | ORIGIN | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x33 | CALLER | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x34 | CALLVALUE | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x35 | CALLDATALOAD | 64 | 66 | 0 | 0 | 0 | 0 | true |
0x36 | CALLDATASIZE | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x37 | CALLDATACOPY | - | - | - | 0 | 0 | 0 | true |
0x38 | CODESIZE | 0 | 0 | 0 | 0 | 0 | 252 | true |
0x39 | CODECOPY | 0 | - | - | 0 | 0 | 255 | true |
0x3a | GASPRICE | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x3b | EXTCODESIZE | 0 | 0 | 0 | 0 | 0 | 255 | true |
0x3c | EXTCODECOPY | 0 | - | - | 0 | 11 | 510 | true |
0x3d | RETURNDATASIZE | 0 | 1 | 0 | 0 | 0 | 0 | false |
0x3e | RETURNDATACOPY | - | - | 2 | 0 | 0 | 0 | true |
0x3f | EXTCODEHASH | 0 | 0 | 0 | 0 | 0 | 255 | true |
0x40 | BLOCKHASH | 0 | 0 | 0 | 1 | 0 | 9 | false |
0x41 | COINBASE | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x42 | TIMESTAMP | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x43 | NUMBER | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x44 | DIFFICULTY | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x45 | GASLIMIT | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x46 | CHAINID | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x47 | SELFBALANCE | 0 | 0 | 0 | 0 | 0 | 255 | true |
0x50 | POP | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x51 | MLOAD | 32 | 32 | 1 | 0 | 0 | 255 | true |
0x52 | MSTORE | 32 | 32 | 1 | 0 | 0 | 255 | true |
0x53 | MSTORE8 | 32 | 1 | 1 | 0 | 0 | 255 | false |
0x54 | SLOAD | 0 | 0 | 0 | 0 | 0 | 255 | true |
0x55 | SSTORE | 0 | - | 0 | 0 | 0 | 255 | true |
0x56 | JUMP | 0 | - | 0 | 0 | 0 | 0 | true |
0x57 | JUMPI | 0 | - | 0 | 0 | 0 | 0 | true |
0x59 | MSIZE | 1 | 3 | 0 | 0 | 0 | 0 | false |
0x5a | GAS | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x5b | JUMPDEST | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x60 | PUSH1 | 0 | 3 | 0 | 0 | 0 | 0 | true |
0x61 | PUSH2 | 0 | 4 | 0 | 0 | 0 | 0 | true |
0x62 | PUSH3 | 0 | 5 | 0 | 0 | 0 | 0 | false |
0x63 | PUSH4 | 0 | 2 | 0 | 0 | 0 | 0 | false |
0x64 | PUSH5 | 0 | 4 | 0 | 0 | 0 | 0 | false |
0x65 | PUSH6 | 0 | 5 | 0 | 0 | 0 | 0 | false |
0x66 | PUSH7 | 0 | 6 | 0 | 0 | 0 | 0 | false |
0x67 | PUSH8 | 0 | 3 | 0 | 0 | 0 | 0 | false |
0x68 | PUSH9 | 0 | 5 | 0 | 0 | 0 | 0 | false |
0x69 | PUSH10 | 0 | 6 | 0 | 0 | 0 | 0 | false |
0x6a | PUSH11 | 0 | 7 | 0 | 0 | 0 | 0 | false |
0x6b | PUSH12 | 0 | 4 | 0 | 0 | 0 | 0 | false |
0x6c | PUSH13 | 0 | 6 | 0 | 0 | 0 | 0 | false |
0x6d | PUSH14 | 0 | 7 | 0 | 0 | 0 | 0 | false |
0x6e | PUSH15 | 0 | 8 | 0 | 0 | 0 | 0 | false |
0x6f | PUSH16 | 0 | 5 | 0 | 0 | 0 | 0 | false |
0x70 | PUSH17 | 0 | 7 | 0 | 0 | 0 | 0 | false |
0x71 | PUSH18 | 0 | 8 | 0 | 0 | 0 | 0 | false |
0x72 | PUSH19 | 0 | 9 | 0 | 0 | 0 | 0 | false |
0x73 | PUSH20 | 0 | 6 | 0 | 0 | 0 | 0 | false |
0x74 | PUSH21 | 0 | 8 | 0 | 0 | 0 | 0 | false |
0x75 | PUSH22 | 0 | 9 | 0 | 0 | 0 | 0 | false |
0x76 | PUSH23 | 0 | 10 | 0 | 0 | 0 | 0 | false |
0x77 | PUSH24 | 0 | 7 | 0 | 0 | 0 | 0 | false |
0x78 | PUSH25 | 0 | 9 | 0 | 0 | 0 | 0 | false |
0x79 | PUSH26 | 0 | 10 | 0 | 0 | 0 | 0 | false |
0x7a | PUSH27 | 0 | 11 | 0 | 0 | 0 | 0 | false |
0x7b | PUSH28 | 0 | 8 | 0 | 0 | 0 | 0 | false |
0x7c | PUSH29 | 0 | 10 | 0 | 0 | 0 | 0 | false |
0x7d | PUSH30 | 0 | 11 | 0 | 0 | 0 | 0 | false |
0x7e | PUSH31 | 0 | 12 | 0 | 0 | 0 | 0 | false |
0x7f | PUSH32 | 0 | 9 | 0 | 0 | 0 | 0 | false |
0x80 | DUP1 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x81 | DUP2 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x82 | DUP3 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x83 | DUP4 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x84 | DUP5 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x85 | DUP6 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x86 | DUP7 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x87 | DUP8 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x88 | DUP9 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x90 | SWAP1 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x91 | SWAP2 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x92 | SWAP3 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x93 | SWAP4 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x94 | SWAP5 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x95 | SWAP6 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0x96 | SWAP7 | 0 | 0 | 0 | 0 | 0 | 0 | false |
0xa0 | LOG0 | 0 | - | 0 | 0 | 0 | 0 | true |
0xa1 | LOG1 | 0 | - | 0 | 0 | 0 | 0 | true |
0xa2 | LOG2 | 0 | - | 0 | 0 | 0 | 0 | true |
0xa3 | LOG3 | 0 | - | 0 | 0 | 0 | 0 | true |
0xa4 | LOG4 | 0 | - | 0 | 0 | 0 | 0 | true |
0xf0 | CREATE | - | - | 0 | - | 0 | - | true |
0xf1 | CALL | - | - | 0 | 0 | - | - | true |
0xf2 | CALLCODE | - | - | 0 | 0 | - | - | true |
0xf3 | RETURN | 0 | 0 | 0 | 0 | 0 | 0 | false |
0xf4 | DELEGATECALL | - | - | 0 | 0 | - | - | true |
0xf5 | CREATE2 | - | - | 0 | - | 0 | - | true |
0xfa | STATICCALL | - | - | 0 | 0 | - | - | true |
0xfd | REVERT | 0 | 0 | 0 | 0 | 0 | 0 | false |
0xfe | INVALID | 0 | 1 | 0 | 0 | 0 | 0 | false |
Dynamic zk-counters
In the following doc, we calculate the cost of processing the opcode. It's important to also add the cost of calculating the cost
EXP
Inputs:
1- a: integer base.
2- exponent: integer exponent.
dynamic_gas = 50 * exponent_byte_size
We need to calculate the exponent byte size to get the gas cost. The counters cost is dynamic but we can't calculate the cost without consuming counters in a dynamic way. We need to find a way to get the size of the exponent in a constant manner or handle the counters limitations from the zkasm.
Maximum setted: Maxmimun byte syze = 256 bytes. Max counters = 256 * (2A + 4B) + 1B = 512A + 1025B
SHA3
L = input length
L/32 = A
L % 32 > 0 ? true -> B = 1, false -> B = 0
cnt_arith = 2 + B*6
cnt_binary = 2 + A + B*9
cnt_keccak = 1
CALLDATALOAD
L = byte offset in the calldata.
L/32 = A
L % 32 > 0 ? true -> B = 1, false -> B = 0
counters = divARITH + B*(SHLarith + SHRarith)
CALLDATACOPY
L = Length to copy.
L/32 = A
L % 32 > 0 ? true -> B = 1, false -> B = 0
counters = A(divARITH + SHLarith + SHRarith + MSTORE32) + SHLarith2 + SHRarith + MSTOREX
CODESIZE
counters = SLOAD
CODECOPY
L = bytes to copy.
if is createContract -> counters = CALLDATACOPY
else -> counters = LT + L*(LT + MEM_ALIGN_WR8)
EXTCODESIZE
counters = SLOAD
EXTCODECOPY
L = bytes to copy.
if is createContract -> counters = CALLDATACOPY
else -> counters = LT + L*(LT + MEM_ALIGN_WR8)
RETURNDATACOPY
L = Length to copy.
L/32 = A
L % 32 > 0 ? true -> B = 1, false -> B = 0
counters = 2EQ + LT + divARITH + mulARITH + A(MLOAD32 + MSTORE32) + B*(MLOADX + MSTOREX)
EXTCODEHASH
counters = SLOAD
SELFBALANCE
counters = SLOAD
MLOAD
counters = MLOAD32
MSTORE
counters = MSTORE32
SLOAD
counters = SLOAD
SSTORE
Cant calculate
JUMPI
isCreateContract ? true -> A = 1, false -> A = 0
isCreate ? true -> B = 1, false -> B = 0
counters = EQ + A(B(MLOADX + SHRarith) + (1-B)(EQ)) + (1-A)(EQ)
JUMP
isCreateContract ? true -> A = 1, false -> A = 0
isCreate ? true -> B = 1, false -> B = 0
counters = EQ + A(B(MLOADX + SHRarith) + (1-B)(EQ)) + (1-A)(EQ)
LOG
L = byte size to copy.
L/32 = A
L % 32 > 0 ? true -> B = 1, false -> B = 0
counters = AMLOAD32 + BMLOADX
CREATE
counters = computeGasSendCall + copySP + SLOAD + SSTORE + getLenBytes
CALL
argsLengthCall + retLength == 0 ? true -> A = 1, false -> A = 0
argsOffsetCall > memLength ? true -> B = 1, false -> B = 0
counters = addARITH + EQ + (1-A)(LT +BsaveMem ) + LT + isEmptyAccount + computeGasSendCall + copySP
CALLCODE
counters = 2EQ + LT2 + computeGasSendCall + copySP
DELEGATECALL
counters = 2EQ + LT2 + computeGasSendCall + copySP
CREATE2
counters = computeGasSendCall + copySP + SLOAD + SSTORE + getLenBytes
STATICCALL
counters = 2EQ + LT2 + computeGasSendCall + copySP
REGS TABLE
REG Name | cnt_arith | cnt_binary | cnt_mem_align | cnt_keccak_f | cnt_padding_pg | cnt_poseidon_g | is_dynamic |
---|---|---|---|---|---|---|---|
LT | 0 | 1 | 0 | 0 | 0 | 0 | false |
EQ | 0 | 1 | 0 | 0 | 0 | 0 | false |
ARITH | 1 | 0 | 0 | 0 | 0 | 0 | false |
SLOAD | 0 | 0 | 0 | 0 | 0 | 11 | true |
SSTORE | 0 | 0 | 0 | 0 | 0 | 11 | true |
MEM_ALIGN_WR8 | 0 | 0 | 1 | 0 | 0 | 0 | false |
Dynamic regs
SSTORE
SLOAD
Should check how SLOAD is implemented
Functions TABLE
FUNC Name | cnt_arith | cnt_binary | cnt_mem_align | cnt_keccak_f | cnt_padding_pg | cnt_poseidon_g | is_dynamic |
---|---|---|---|---|---|---|---|
addARITH | 0 | 1 | 0 | 0 | 0 | 0 | false |
divARITH | 1 | 2 | 0 | 0 | 0 | 0 | false |
subARITH | 0 | 1 | 0 | 0 | 0 | 0 | false |
mulARITH | 1 | 0 | 0 | 0 | 0 | 0 | false |
saveMem | 0 | 0 | 0 | 0 | 0 | 0 | false |
computeGasSendCall | 0 | 1 | 0 | 0 | 0 | 0 | false |
copySP | - | - | 0 | 0 | 0 | 0 | true |
MLOAD32 | 0 | 0 | 0 | 0 | 0 | 0 | true |
MLOADX | 0 | 0 | 0 | 0 | 0 | 0 | true |
MSTORE32 | 0 | 0 | 0 | 0 | 0 | 0 | true |
MSTOREX | 0 | 0 | 0 | 0 | 0 | 0 | true |
sliceA | 0 | 0 | 0 | 0 | 0 | 0 | false |
SHRarith | - | - | 0 | 0 | 0 | 0 | true |
SHLarith | - | - | 0 | 0 | 0 | 0 | true |
opCODECOPYLoadBytes | 0 | 1 | 0 | 0 | 0 | 0 | false |
isEmptyAccount | - | - | 0 | 0 | 0 | 0 | true |
Dynamic functions
copySP
It depends on the stack size.
L = stack length
L/32 = A
L % 32 > 0 ? true -> B = 1, false -> B = 0
counters = MLOAD32 * (A + B)
MLOAD32
MSTORE32
MSTOREX
MLOADX
L = bytes length
L > 0 ? true -> A = 1, false -> A = 0
isMSTOREX ? true -> B = 1, false -> B = 0
counters = LT + B(2SHRarith + 2SHLarith) + (1-B)(C(2SHLarith + 4SHRarith) + (1-C)(2SHRarith + 2SHLarith) + MEM_ALIGN_WR)
MAX:
counters = 192A + 193B + 2MA
SHRarith
SHLarith
A -> bytes to shift
D -> times to shift (A << D)
E -> D > 256? true = 1, false = 0
counters= ARITH + EQ + (1-E) (D(LT + ARITH)) = 1A + 1B + (1-E)(D(1A + 1B)
MAX:
counters = 32A + 32B
isEmptyAccount
isNotPrecompiled ? true -> A = 1, false -> A = 0
zeroBalance ? true -> B = 1, false -> B = 0
zeroNonce ? true -> C = 1, false -> C = 0
counters = LT + A(SLOAD + LT + B(SLOAD + LT + C*(SLOAD + LT)))
https://github.com/0xPolygonHermez/zkevm-rom/blob/main/docs/opcode-cost-zk-counters.md
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