func (curve *secp256k1Curve) doubleJacobian(x, y, z *big.Int) (*big.Int, *big.Int, *big.Int) {
	var a, b, c, d, e, f, x3, y3, z3 big.Int
	a.Mul(x, x)
	a.Mod(&a, curve.P)
	b.Mul(y, y)
	b.Mod(&b, curve.P)
	c.Mul(&b, &b)
	c.Mod(&c, curve.P)
	d.Add(x, &b)
	d.Mul(&d, &d)
	d.Sub(&d, &a)
	d.Sub(&d, &c)
	d.Lsh(&d, 1)
	if d.Sign() < 0 {
		d.Add(&d, curve.P)
	} else {
		d.Mod(&d, curve.P)
	}
	e.Mul(three, &a)
	e.Mod(&e, curve.P)
	f.Mul(&e, &e)
	f.Mod(&f, curve.P)
	x3.Lsh(&d, 1)
	x3.Sub(&f, &x3)
	if x3.Sign() < 0 {
		x3.Add(&x3, curve.P)
	} else {
		x3.Mod(&x3, curve.P)
	}
	y3.Sub(&d, &x3)
	y3.Mul(&e, &y3)
	c.Lsh(&c, 3)
	y3.Sub(&y3, &c)
	if y3.Sign() < 0 {
		y3.Add(&y3, curve.P)
	} else {
		y3.Mod(&y3, curve.P)
	}
	z3.Mul(y, z)
	z3.Lsh(&z3, 1)
	z3.Mod(&z3, curve.P)
	return &x3, &y3, &z3
}
doubleJacobian -- takes a point in Jacobian coordinates, (x, y, z),
and returns its double, also in Jacobian form.
package secp256k1
import (
	"crypto/elliptic"
	"math/big"
	"sync"
)
var (
	initonce  sync.Once
	secp256k1 *secp256k1Curve
	three     = new(big.Int).SetUint64(3)
)
type secp256k1Curve struct {
	elliptic.CurveParams
}
func initSECP256K1() {
	secp256k1 = &secp256k1Curve{elliptic.CurveParams{Name: "secp256k1"}}
	secp256k1.P, _ = new(big.Int).SetString("fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", 16)
	secp256k1.N, _ = new(big.Int).SetString("fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", 16)
	secp256k1.B, _ = new(big.Int).SetString("0000000000000000000000000000000000000000000000000000000000000007", 16)
	secp256k1.Gx, _ = new(big.Int).SetString("79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", 16)
	secp256k1.Gy, _ = new(big.Int).SetString("483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", 16)
	secp256k1.BitSize = 256
}
func SECP256K1() elliptic.Curve {
	initonce.Do(initSECP256K1)
	return secp256k1
}
func (curve *secp256k1Curve) Params() *elliptic.CurveParams {
	return &curve.CurveParams
}
func (curve *secp256k1Curve) IsOnCurve(x, y *big.Int) bool {
	var y2, x3 big.Int
	y2.Mul(y, y)          
	y2.Mod(&y2, curve.P)  
	x3.Mul(x, x)          
	x3.Mul(&x3, x)        
	x3.Add(&x3, curve.B)  
	x3.Mod(&x3, curve.P)  
	return x3.Cmp(&y2) == 0
}
func zForAffine(x, y *big.Int) *big.Int {
	z := new(big.Int)
	if x.Sign() != 0 || y.Sign() != 0 {
		z.SetInt64(1)
	}
	return z
}
func (curve *secp256k1Curve) affineFromJacobian(x, y, z *big.Int) (xOut, yOut *big.Int) {
	if z.Sign() == 0 {
		return new(big.Int), new(big.Int)
	}
	zinv := new(big.Int).ModInverse(z, curve.P)
	zinvsq := new(big.Int).Mul(zinv, zinv)
	xOut = new(big.Int).Mul(x, zinvsq)
	xOut.Mod(xOut, curve.P)
	zinvsq.Mul(zinvsq, zinv)
	yOut = new(big.Int).Mul(y, zinvsq)
	yOut.Mod(yOut, curve.P)
	return
}
func (curve *secp256k1Curve) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) {
	z1 := zForAffine(x1, y1)
	z2 := zForAffine(x2, y2)
	return curve.affineFromJacobian(curve.addJacobian(x1, y1, z1, x2, y2, z2))
}
func (curve *secp256k1Curve) addJacobian(x1, y1, z1, x2, y2, z2 *big.Int) (*big.Int, *big.Int, *big.Int) {
	x3, y3, z3 := new(big.Int), new(big.Int), new(big.Int)
	if z1.Sign() == 0 {
		x3.Set(x2)
		y3.Set(y2)
		z3.Set(z2)
		return x3, y3, z3
	}
	if z2.Sign() == 0 {
		x3.Set(x1)
		y3.Set(y1)
		z3.Set(z1)
		return x3, y3, z3
	}
	z1z1 := new(big.Int).Mul(z1, z1)  
	z1z1.Mod(z1z1, curve.P)           
	z2z2 := new(big.Int).Mul(z2, z2)  
	z2z2.Mod(z2z2, curve.P)           
	u1 := new(big.Int).Mul(x1, z2z2)  
	u1.Mod(u1, curve.P)               
	u2 := new(big.Int).Mul(x2, z1z1)  
	u2.Mod(u2, curve.P)               
	h := new(big.Int).Sub(u2, u1)     
	xEqual := h.Sign() == 0
	if h.Sign() == -1 {
		h.Add(h, curve.P)
	}
	i := new(big.Int).Lsh(h, 1)
	i.Mul(i, i)
	j := new(big.Int).Mul(h, i)
	s1 := new(big.Int).Mul(y1, z2)
	s1.Mul(s1, z2z2)
	s1.Mod(s1, curve.P)
	s2 := new(big.Int).Mul(y2, z1)
	s2.Mul(s2, z1z1)
	s2.Mod(s2, curve.P)
	r := new(big.Int).Sub(s2, s1)
	if r.Sign() == -1 {
		r.Add(r, curve.P)
	}
	yEqual := r.Sign() == 0
	if xEqual && yEqual {
		return curve.doubleJacobian(x1, y1, z1)
	}
	r.Lsh(r, 1)  
	v := new(big.Int).Mul(u1, i)
	x3.Set(r)
	x3.Mul(x3, x3)
	x3.Sub(x3, j)
	x3.Sub(x3, v)
	x3.Sub(x3, v)
	x3.Mod(x3, curve.P)
	y3.Set(r)
	v.Sub(v, x3)
	y3.Mul(y3, v)
	s1.Mul(s1, j)
	s1.Lsh(s1, 1)
	y3.Sub(y3, s1)
	y3.Mod(y3, curve.P)
	z3.Add(z1, z2)
	z3.Mul(z3, z3)
	z3.Sub(z3, z1z1)
	z3.Sub(z3, z2z2)
	z3.Mul(z3, h)
	z3.Mod(z3, curve.P)
	return x3, y3, z3
}
func (curve *secp256k1Curve) Double(x1, y1 *big.Int) (*big.Int, *big.Int) {
	z1 := zForAffine(x1, y1)
	return curve.affineFromJacobian(curve.doubleJacobian(x1, y1, z1))
}