core/vm: switch modexp gas computation to uint64

This commit is contained in:
MariusVanDerWijden 2025-09-02 10:00:47 +02:00
parent 1263f3dfc1
commit cc158997d3

View file

@ -24,6 +24,7 @@ import (
"maps"
"math"
"math/big"
"math/bits"
"github.com/consensys/gnark-crypto/ecc"
bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381"
@ -38,6 +39,7 @@ import (
"github.com/ethereum/go-ethereum/crypto/kzg4844"
"github.com/ethereum/go-ethereum/crypto/secp256r1"
"github.com/ethereum/go-ethereum/params"
"github.com/holiman/uint256"
"golang.org/x/crypto/ripemd160"
)
@ -378,21 +380,21 @@ type bigModExp struct {
eip7883 bool
}
var (
big1 = big.NewInt(1)
big3 = big.NewInt(3)
big7 = big.NewInt(7)
big20 = big.NewInt(20)
big32 = big.NewInt(32)
big64 = big.NewInt(64)
big96 = big.NewInt(96)
big480 = big.NewInt(480)
big1024 = big.NewInt(1024)
big3072 = big.NewInt(3072)
big199680 = big.NewInt(199680)
// Constants for modexp gas calculation
const (
byzantiumMultiplier = 8
berlinMultiplier = 8
osakaMultiplier = 16
byzantiumDivisor = 20
berlinDivisor = 3
osakaDivisor = 3
berlinMinGas = 200
osakaMinGas = 500
)
// modexpMultComplexity implements bigModexp multComplexity formula, as defined in EIP-198
// byzantiumMultComplexity implements bigModexp multComplexity formula, as defined in EIP-198
//
// def mult_complexity(x):
// if x <= 64: return x ** 2
@ -400,146 +402,228 @@ var (
// else: return x ** 2 // 16 + 480 * x - 199680
//
// where is x is max(length_of_MODULUS, length_of_BASE)
func modexpMultComplexity(x *big.Int) *big.Int {
// returns true if an overflow occurred.
func byzantiumMultComplexity(x uint64) uint64 {
switch {
case x.Cmp(big64) <= 0:
x.Mul(x, x) // x ** 2
case x.Cmp(big1024) <= 0:
// (x ** 2 // 4 ) + ( 96 * x - 3072)
x = new(big.Int).Add(
new(big.Int).Rsh(new(big.Int).Mul(x, x), 2),
new(big.Int).Sub(new(big.Int).Mul(big96, x), big3072),
)
case x <= 64:
return x * x
case x <= 1024:
// x^2 / 4 + 96*x - 3072
return x*x/4 + 96*x - 3072
default:
// (x ** 2 // 16) + (480 * x - 199680)
x = new(big.Int).Add(
new(big.Int).Rsh(new(big.Int).Mul(x, x), 4),
new(big.Int).Sub(new(big.Int).Mul(big480, x), big199680),
)
// For large x, use uint256 arithmetic to avoid overflow
// x^2 / 16 + 480*x - 199680
// xSqr = x^2
carry, xSqr := bits.Mul64(x, x)
if carry != 0 {
return math.MaxUint64
}
// Calculate x^2 / 16 (right shift by 4 bits)
xSqr = xSqr >> 4
// Calculate 480 * x (can't overflow if x^2 didn't overflow)
x480 := x * 480
// Calculate 480 * x - 199680 (will not underflow, since x > 1024)
x480 = x480 - 199680
sum, carry := bits.Add64(xSqr, x480, 0)
if carry != 0 {
return math.MaxUint64
}
return sum
}
}
// berlinMultComplexity implements the multiplication complexity formula for Berlin.
//
// def mult_complexity(x):
//
// ceiling(x/8)^2
//
// where is x is max(length_of_MODULUS, length_of_BASE)
func berlinMultComplexity(x uint64) uint64 {
// x = (x + 7) / 8
x, carry := bits.Add64(x, 7, 0)
if carry != 0 {
return math.MaxUint64
}
x /= 8
// x * x
carry, x = bits.Mul64(x, x)
if carry != 0 {
return math.MaxUint64
}
return x
}
// Slow Bigint way (benchmark this)
// func berlinMultComplexity(xInt uint64) *big.Int {
// x := new(big.Int).SetUint64(xInt)
// x = new(big.Int).Add(x, big.NewInt(7)) // x + 7
// x = new(big.Int).Rsh(x, 3) // (x + 7) / 8
// return new(big.Int).Mul(x, x) // ((x + 7) / 8) ^ 2
// }
// osakaMultComplexity implements the multiplication complexity formula for Osaka.
//
// For x <= 32: returns 16
// For x > 32: returns 2 * ceiling(x/8)^2
func osakaMultComplexity(x uint64) uint64 {
if x <= 32 {
return 16
}
// For x > 32, return 2 * berlinMultComplexity(x)
result := berlinMultComplexity(x)
carry, result := bits.Mul64(result, 2)
if carry != 0 {
return math.MaxUint64
}
return result
}
// calculateIterationCount calculates the number of iterations for the modexp precompile.
// This is the adjusted exponent length used in gas calculation.
func calculateIterationCount(expLen uint64, expHead uint256.Int, multiplier uint64) uint64 {
var iterationCount uint64
// For large exponents (expLen > 32), add (expLen - 32) * multiplier
if expLen > 32 {
iterationCount = (expLen - 32) * multiplier
}
// Add the MSB position - 1 if expHead is non-zero
if bitLen := expHead.BitLen(); bitLen > 0 {
iterationCount += uint64(bitLen - 1)
}
return max(iterationCount, 1)
}
// byzantiumGasCalc calculates the gas cost for the modexp precompile using Byzantium rules.
func byzantiumGasCalc(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
maxLen := max(baseLen, modLen)
multComplexity := byzantiumMultComplexity(maxLen)
iterationCount := calculateIterationCount(expLen, expHead, byzantiumMultiplier)
// Calculate gas: (multComplexity * iterationCount) / byzantiumDivisor
carry, gas := bits.Mul64(iterationCount, multComplexity)
gas /= byzantiumDivisor
if carry != 0 {
return math.MaxUint64
}
return gas
}
// berlinGasCalc calculates the gas cost for the modexp precompile using Berlin rules.
func berlinGasCalc(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
maxLen := max(baseLen, modLen)
multComplexity := berlinMultComplexity(maxLen)
iterationCount := calculateIterationCount(expLen, expHead, berlinMultiplier)
// Calculate gas: (multComplexity * iterationCount) / berlinDivisor
carry, gas := bits.Mul64(iterationCount, multComplexity)
gas /= berlinDivisor
if carry != 0 {
return math.MaxUint64
}
return max(gas, berlinMinGas)
}
// osakaGasCalc calculates the gas cost for the modexp precompile using Osaka rules.
func osakaGasCalc(baseLen, expLen, modLen uint64, expHead uint256.Int) uint64 {
maxLen := max(baseLen, modLen)
multComplexity := osakaMultComplexity(maxLen)
iterationCount := calculateIterationCount(expLen, expHead, osakaMultiplier)
// Calculate gas: (multComplexity * iterationCount) / osakaDivisor
carry, gas := bits.Mul64(iterationCount, multComplexity)
gas /= osakaDivisor
if carry != 0 {
return math.MaxUint64
}
return max(gas, osakaMinGas)
}
// RequiredGas returns the gas required to execute the pre-compiled contract.
func (c *bigModExp) RequiredGas(input []byte) uint64 {
var (
baseLen = new(big.Int).SetBytes(getData(input, 0, 32))
expLen = new(big.Int).SetBytes(getData(input, 32, 32))
modLen = new(big.Int).SetBytes(getData(input, 64, 32))
)
// Parse input lengths
baseLenBig := new(uint256.Int).SetBytes(getData(input, 0, 32))
expLenBig := new(uint256.Int).SetBytes(getData(input, 32, 32))
modLenBig := new(uint256.Int).SetBytes(getData(input, 64, 32))
// Convert to uint64, capping at max value
baseLen := baseLenBig.Uint64()
if !baseLenBig.IsUint64() {
baseLen = math.MaxUint64
}
expLen := expLenBig.Uint64()
if !expLenBig.IsUint64() {
expLen = math.MaxUint64
}
modLen := modLenBig.Uint64()
if !modLenBig.IsUint64() {
modLen = math.MaxUint64
}
// Skip the header
if len(input) > 96 {
input = input[96:]
} else {
input = input[:0]
}
// Retrieve the head 32 bytes of exp for the adjusted exponent length
var expHead *big.Int
if big.NewInt(int64(len(input))).Cmp(baseLen) <= 0 {
expHead = new(big.Int)
} else {
if expLen.Cmp(big32) > 0 {
expHead = new(big.Int).SetBytes(getData(input, baseLen.Uint64(), 32))
var expHead uint256.Int
if uint64(len(input)) > baseLen {
if expLen > 32 {
expHead.SetBytes(getData(input, baseLen, 32))
} else {
expHead = new(big.Int).SetBytes(getData(input, baseLen.Uint64(), expLen.Uint64()))
// TODO: Check that if expLen < baseLen, then getData will return an empty slice
expHead.SetBytes(getData(input, baseLen, expLen))
}
}
// Calculate the adjusted exponent length
var msb int
if bitlen := expHead.BitLen(); bitlen > 0 {
msb = bitlen - 1
}
adjExpLen := new(big.Int)
if expLen.Cmp(big32) > 0 {
adjExpLen.Sub(expLen, big32)
if c.eip7883 {
adjExpLen.Lsh(adjExpLen, 4)
} else {
adjExpLen.Lsh(adjExpLen, 3)
}
}
adjExpLen.Add(adjExpLen, big.NewInt(int64(msb)))
// Calculate the gas cost of the operation
gas := new(big.Int)
if modLen.Cmp(baseLen) < 0 {
gas.Set(baseLen)
// Choose the appropriate gas calculation based on the EIP flags
if c.eip7883 {
return osakaGasCalc(baseLen, expLen, modLen, expHead)
} else if c.eip2565 {
return berlinGasCalc(baseLen, expLen, modLen, expHead)
} else {
gas.Set(modLen)
return byzantiumGasCalc(baseLen, expLen, modLen, expHead)
}
maxLenOver32 := gas.Cmp(big32) > 0
if c.eip2565 {
// EIP-2565 (Berlin fork) has three changes:
//
// 1. Different multComplexity (inlined here)
// in EIP-2565 (https://eips.ethereum.org/EIPS/eip-2565):
//
// def mult_complexity(x):
// ceiling(x/8)^2
//
// where is x is max(length_of_MODULUS, length_of_BASE)
gas.Add(gas, big7)
gas.Rsh(gas, 3)
gas.Mul(gas, gas)
var minPrice uint64 = 200
if c.eip7883 {
minPrice = 500
if maxLenOver32 {
gas.Add(gas, gas)
} else {
gas = big.NewInt(16)
}
}
if adjExpLen.Cmp(big1) > 0 {
gas.Mul(gas, adjExpLen)
}
// 2. Different divisor (`GQUADDIVISOR`) (3)
if !c.eip7883 {
gas.Div(gas, big3)
}
if gas.BitLen() > 64 {
return math.MaxUint64
}
return max(minPrice, gas.Uint64())
}
// Pre-Berlin logic.
gas = modexpMultComplexity(gas)
if adjExpLen.Cmp(big1) > 0 {
gas.Mul(gas, adjExpLen)
}
gas.Div(gas, big20)
if gas.BitLen() > 64 {
return math.MaxUint64
}
return gas.Uint64()
}
func (c *bigModExp) Run(input []byte) ([]byte, error) {
var (
baseLenBig = new(big.Int).SetBytes(getData(input, 0, 32))
expLenBig = new(big.Int).SetBytes(getData(input, 32, 32))
modLenBig = new(big.Int).SetBytes(getData(input, 64, 32))
baseLen = baseLenBig.Uint64()
expLen = expLenBig.Uint64()
modLen = modLenBig.Uint64()
inputLenOverflow = max(baseLenBig.BitLen(), expLenBig.BitLen(), modLenBig.BitLen()) > 64
)
// Extract lengths - they're 32-byte big-endian integers
// with the actual uint64 value in the last 8 bytes
var baseLen, expLen, modLen uint64
if len(input) >= 32 {
baseLen = binary.BigEndian.Uint64(input[24:32])
}
if len(input) >= 64 {
expLen = binary.BigEndian.Uint64(input[56:64])
}
if len(input) >= 96 {
modLen = binary.BigEndian.Uint64(input[88:96])
}
if len(input) > 96 {
input = input[96:]
} else {
input = input[:0]
}
// enforce size cap for inputs
if c.eip7823 && (inputLenOverflow || max(baseLen, expLen, modLen) > 1024) {
return nil, errors.New("one or more of base/exponent/modulus length exceeded 1024 bytes")
}
// Handle a special case when both the base and mod length is zero
if baseLen == 0 && modLen == 0 {
return []byte{}, nil
}
// enforce size cap for inputs
if c.eip7823 && max(baseLen, expLen, modLen) > 1024 {
return nil, fmt.Errorf("one or more of base/exponent/modulus length exceeded 1024 bytes")
}
// Retrieve the operands and execute the exponentiation
var (
base = new(big.Int).SetBytes(getData(input, 0, baseLen))