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package balancerv1 | ||
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import ( | ||
"bytes" | ||
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"github.com/ethereum/go-ethereum/accounts/abi" | ||
) | ||
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var ( | ||
bPoolABI abi.ABI | ||
) | ||
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func init() { | ||
builder := []struct { | ||
ABI *abi.ABI | ||
data []byte | ||
}{ | ||
{&bPoolABI, bPoolJson}, | ||
} | ||
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for _, b := range builder { | ||
var err error | ||
*b.ABI, err = abi.JSON(bytes.NewReader(b.data)) | ||
if err != nil { | ||
panic(err) | ||
} | ||
} | ||
} |
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package balancerv1 | ||
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import ( | ||
"github.com/KyberNetwork/blockchain-toolkit/number" | ||
"github.com/holiman/uint256" | ||
) | ||
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var BConst *bConst | ||
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type bConst struct { | ||
BONE *uint256.Int | ||
MIN_BPOW_BASE *uint256.Int | ||
MAX_BPOW_BASE *uint256.Int | ||
BPOW_PRECISION *uint256.Int | ||
MAX_IN_RATIO *uint256.Int | ||
} | ||
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func init() { | ||
BConst = &bConst{ | ||
BONE: number.Number_1e18, | ||
MIN_BPOW_BASE: number.Number_1, | ||
MAX_BPOW_BASE: new(uint256.Int).Sub(new(uint256.Int).Mul(number.Number_2, number.Number_1e18), number.Number_1), | ||
BPOW_PRECISION: new(uint256.Int).Div(number.Number_1e18, number.TenPow(10)), | ||
MAX_IN_RATIO: new(uint256.Int).Div(number.Number_1e18, number.Number_2), | ||
} | ||
} |
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package balancerv1 | ||
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import ( | ||
"github.com/holiman/uint256" | ||
) | ||
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var BMath *bMath | ||
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type bMath struct{} | ||
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func init() { | ||
BMath = &bMath{} | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BMath.sol#L28 | ||
func (l *bMath) CalcSpotPrice( | ||
tokenBalanceIn *uint256.Int, | ||
tokenWeightIn *uint256.Int, | ||
tokenBalanceOut *uint256.Int, | ||
tokenWeightOut *uint256.Int, | ||
swapFee *uint256.Int, | ||
) (*uint256.Int, error) { | ||
numer, err := BNum.BDiv(tokenBalanceIn, tokenWeightIn) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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denom, err := BNum.BDiv(tokenBalanceOut, tokenWeightOut) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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ratio, err := BNum.BDiv(numer, denom) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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bSubBONEAndSwapFee, err := BNum.BSub(BConst.BONE, swapFee) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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scale, err := BNum.BDiv(BConst.BONE, bSubBONEAndSwapFee) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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return BNum.BMul(ratio, scale) | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BMath.sol#L55 | ||
func (l *bMath) CalcOutGivenIn( | ||
tokenBalanceIn *uint256.Int, | ||
tokenWeightIn *uint256.Int, | ||
tokenBalanceOut *uint256.Int, | ||
tokenWeightOut *uint256.Int, | ||
tokenAmountIn *uint256.Int, | ||
swapFee *uint256.Int, | ||
) (*uint256.Int, error) { | ||
weightRatio, err := BNum.BDiv(tokenWeightIn, tokenWeightOut) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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adjustedIn, err := BNum.BSub(BConst.BONE, swapFee) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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adjustedIn, err = BNum.BMul(tokenAmountIn, adjustedIn) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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bAddTokenBalanceInAndAdjustedIn, err := BNum.BAdd(tokenBalanceIn, adjustedIn) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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y, err := BNum.BDiv(tokenBalanceIn, bAddTokenBalanceInAndAdjustedIn) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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foo, err := BNum.BPow(y, weightRatio) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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bar, err := BNum.BSub(BConst.BONE, foo) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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return BNum.BMul(tokenBalanceOut, bar) | ||
} |
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package balancerv1 | ||
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import ( | ||
"errors" | ||
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"github.com/KyberNetwork/blockchain-toolkit/number" | ||
"github.com/holiman/uint256" | ||
) | ||
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var ( | ||
ErrDivZero = errors.New("ERR_DIV_ZERO") | ||
ErrDivInternal = errors.New("ERR_DIV_INTERNAL") | ||
ErrSubUnderflow = errors.New("ERR_SUB_UNDERFLOW") | ||
ErrMulOverflow = errors.New("ERR_MUL_OVERFLOW") | ||
ErrAddOverFlow = errors.New("ERR_ADD_OVERFLOW") | ||
ErrBPowBaseTooLow = errors.New("ERR_BPOW_BASE_TOO_LOW") | ||
ErrBPowBaseTooHigh = errors.New("ERR_BPOW_BASE_TOO_HIGH") | ||
) | ||
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var BNum *bNum | ||
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type bNum struct { | ||
} | ||
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func init() { | ||
BNum = &bNum{} | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L20 | ||
func (l *bNum) BToI(a *uint256.Int) *uint256.Int { | ||
return new(uint256.Int).Div(a, BConst.BONE) | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L27 | ||
func (l *bNum) BFloor(a *uint256.Int) *uint256.Int { | ||
return new(uint256.Int).Mul(l.BToI(a), BConst.BONE) | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L34 | ||
func (l *bNum) BAdd(a *uint256.Int, b *uint256.Int) (*uint256.Int, error) { | ||
c := new(uint256.Int).Add(a, b) | ||
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if c.Cmp(a) < 0 { | ||
return nil, ErrAddOverFlow | ||
} | ||
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return c, nil | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L43 | ||
func (l *bNum) BSub(a *uint256.Int, b *uint256.Int) (*uint256.Int, error) { | ||
c, flag := l.BSubSign(a, b) | ||
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if flag { | ||
return nil, ErrSubUnderflow | ||
} | ||
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return c, nil | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L52 | ||
func (l *bNum) BSubSign(a *uint256.Int, b *uint256.Int) (*uint256.Int, bool) { | ||
if a.Cmp(b) >= 0 { | ||
return new(uint256.Int).Sub(a, b), false | ||
} | ||
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return new(uint256.Int).Sub(b, a), true | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L63 | ||
func (l *bNum) BMul(a *uint256.Int, b *uint256.Int) (*uint256.Int, error) { | ||
c0 := new(uint256.Int).Mul(a, b) | ||
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if a.Cmp(number.Zero) != 0 && new(uint256.Int).Div(c0, a).Cmp(b) != 0 { | ||
return nil, ErrMulOverflow | ||
} | ||
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c1 := new(uint256.Int).Add(c0, new(uint256.Int).Div(BConst.BONE, number.Number_2)) | ||
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if c1.Cmp(c0) < 0 { | ||
return nil, ErrMulOverflow | ||
} | ||
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c2 := new(uint256.Int).Div(c1, BConst.BONE) | ||
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return c2, nil | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L75 | ||
func (l *bNum) BDiv(a *uint256.Int, b *uint256.Int) (*uint256.Int, error) { | ||
if b.Cmp(number.Zero) == 0 { | ||
return nil, ErrDivZero | ||
} | ||
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c0 := new(uint256.Int).Mul(a, BConst.BONE) | ||
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if a.Cmp(number.Zero) != 0 && new(uint256.Int).Div(c0, a).Cmp(BConst.BONE) != 0 { | ||
return nil, ErrDivInternal | ||
} | ||
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c1 := new(uint256.Int).Add(c0, new(uint256.Int).Div(b, number.Number_2)) | ||
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if c1.Cmp(c0) < 0 { | ||
return nil, ErrDivInternal | ||
} | ||
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c2 := new(uint256.Int).Div(c1, b) | ||
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return c2, nil | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L89 | ||
func (l *bNum) BPowI(a *uint256.Int, n *uint256.Int) (*uint256.Int, error) { | ||
var ( | ||
z *uint256.Int | ||
err error | ||
) | ||
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if new(uint256.Int).Mod(n, number.Number_2).Cmp(number.Zero) != 0 { | ||
z = a | ||
} else { | ||
z = BConst.BONE | ||
} | ||
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for n = new(uint256.Int).Div(n, number.Number_2); n.Cmp(number.Zero) != 0; n = new(uint256.Int).Div(n, number.Number_2) { | ||
a, err = l.BMul(a, a) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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if new(uint256.Int).Mod(n, number.Number_2).Cmp(number.Zero) != 0 { | ||
z, err = l.BMul(z, a) | ||
if err != nil { | ||
return nil, err | ||
} | ||
} | ||
} | ||
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return z, nil | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L128C14-L128C24 | ||
func (l *bNum) BPowApprox(base *uint256.Int, exp *uint256.Int, precision *uint256.Int) (*uint256.Int, error) { | ||
a := new(uint256.Int).Set(exp) | ||
x, xneg := l.BSubSign(base, BConst.BONE) | ||
term := new(uint256.Int).Set(BConst.BONE) | ||
sum := new(uint256.Int).Set(term) | ||
negative := false | ||
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for i := number.Number_1; term.Cmp(precision) >= 0; i = new(uint256.Int).Add(i, number.Number_1) { | ||
bigK := new(uint256.Int).Mul(i, BConst.BONE) | ||
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bsubBigKAndBone, err := l.BSub(bigK, BConst.BONE) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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c, cneg := l.BSubSign(a, bsubBigKAndBone) | ||
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bmulCAndX, err := l.BMul(c, x) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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term, err := l.BMul(term, bmulCAndX) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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term, err = l.BDiv(term, bigK) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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if term.Cmp(number.Zero) == 0 { | ||
break | ||
} | ||
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if xneg { | ||
negative = !negative | ||
} | ||
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if cneg { | ||
negative = !negative | ||
} | ||
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if negative { | ||
sum, err = l.BSub(sum, term) | ||
if err != nil { | ||
return nil, err | ||
} | ||
} else { | ||
sum, err = l.BAdd(sum, term) | ||
if err != nil { | ||
return nil, err | ||
} | ||
} | ||
} | ||
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return sum, nil | ||
} | ||
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// https://github.com/balancer/balancer-core/blob/f4ed5d65362a8d6cec21662fb6eae233b0babc1f/contracts/BNum.sol#L108 | ||
func (l *bNum) BPow(base *uint256.Int, exp *uint256.Int) (*uint256.Int, error) { | ||
if base.Cmp(BConst.MIN_BPOW_BASE) < 0 { | ||
return nil, ErrBPowBaseTooLow | ||
} | ||
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if base.Cmp(BConst.MAX_BPOW_BASE) > 0 { | ||
return nil, ErrBPowBaseTooHigh | ||
} | ||
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whole := l.BFloor(exp) | ||
remain, err := l.BSub(exp, whole) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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wholePow, err := l.BPowI(base, l.BToI(whole)) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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if remain.Cmp(number.Zero) == 0 { | ||
return wholePow, nil | ||
} | ||
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partialResult, err := l.BPowApprox(base, remain, BConst.BPOW_PRECISION) | ||
if err != nil { | ||
return nil, err | ||
} | ||
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return l.BMul(wholePow, partialResult) | ||
} |
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