Beispiel #1
0
func (curve CurveParams) IsOnCurve(x, y *big.Int) bool {
	bnx := C.BN_new()
	if bnx == nil {
		return false
	}
	defer C.BN_free(bnx)
	bny := C.BN_new()
	if bny == nil {
		return false
	}
	defer C.BN_free(bny)

	xs := C.CString(x.String())
	defer C.free(unsafe.Pointer(xs))
	if C.BN_hex2bn(&bnx, xs) == 0 {
		return false
	}
	ys := C.CString(y.String())
	defer C.free(unsafe.Pointer(ys))
	if C.BN_hex2bn(&bny, ys) == 0 {
		return false
	}

	point := C.EC_POINT_new(curve.curve)
	if point == nil {
		return false
	}
	defer C.EC_POINT_free(point)

	if C.EC_POINT_set_affine_coordinates_GFp(curve.curve, point, bnx, bny, nil) != 1 {
		return false
	}
	if C.EC_POINT_is_on_curve(curve.curve, point, nil) == 0 {
		return false
	}
	return true
}
Beispiel #2
0
func (curve CurveParams) Add(x1, y1, x2, y2 *big.Int) (x, y *big.Int) {
	bnx1 := C.BN_new()
	if bnx1 == nil {
		return nil, nil
	}
	defer C.BN_free(bnx1)
	bny1 := C.BN_new()
	if bny1 == nil {
		return nil, nil
	}
	defer C.BN_free(bny1)
	bnx2 := C.BN_new()
	if bnx2 == nil {
		return nil, nil
	}
	defer C.BN_free(bnx2)
	bny2 := C.BN_new()
	if bny2 == nil {
		return nil, nil
	}
	defer C.BN_free(bny2)

	x1s := C.CString(x1.String())
	defer C.free(unsafe.Pointer(x1s))
	if C.BN_hex2bn(&bnx1, x1s) == 0 {
		return nil, nil
	}
	y1s := C.CString(y1.String())
	defer C.free(unsafe.Pointer(y1s))
	if C.BN_hex2bn(&bny1, y1s) == 0 {
		return nil, nil
	}
	x2s := C.CString(x2.String())
	defer C.free(unsafe.Pointer(x2s))
	if C.BN_hex2bn(&bnx2, x2s) == 0 {
		return nil, nil
	}
	y2s := C.CString(y2.String())
	defer C.free(unsafe.Pointer(y2s))
	if C.BN_hex2bn(&bny2, y2s) == 0 {
		return nil, nil
	}

	pointR := C.EC_POINT_new(curve.curve)
	if pointR == nil {
		return nil, nil
	}
	defer C.EC_POINT_free(pointR)

	pointA := C.EC_POINT_new(curve.curve)
	if pointA == nil {
		return nil, nil
	}
	defer C.EC_POINT_free(pointA)
	if C.EC_POINT_set_affine_coordinates_GFp(curve.curve, pointA, bnx1, bny1, nil) != 1 {
		return nil, nil
	}

	pointB := C.EC_POINT_new(curve.curve)
	if pointB == nil {
		return nil, nil
	}
	defer C.EC_POINT_free(pointB)
	if C.EC_POINT_set_affine_coordinates_GFp(curve.curve, pointB, bnx2, bny2, nil) != 1 {
		return nil, nil
	}

	if C.EC_POINT_add(curve.curve, pointR, pointA, pointB, nil) == 0 {
		return nil, nil
	}

	bnx := C.BN_new()
	if bnx == nil {
		return nil, nil
	}
	defer C.BN_free(bnx)
	bny := C.BN_new()
	if bny == nil {
		return nil, nil
	}
	defer C.BN_free(bny)

	if C.EC_POINT_get_affine_coordinates_GFp(curve.curve, pointR, bnx, bny, nil) != 1 {
		return nil, nil
	}
	x, _ = new(big.Int).SetString(C.GoString(C.BN_bn2hex(bnx)), 16)
	y, _ = new(big.Int).SetString(C.GoString(C.BN_bn2hex(bny)), 16)

	return
}
Beispiel #3
0
func (curve CurveParams) ScalarMult(x1, y1 *big.Int, k []byte) (x, y *big.Int) {
	bnx1 := C.BN_new()
	if bnx1 == nil {
		return nil, nil
	}
	defer C.BN_free(bnx1)
	bny1 := C.BN_new()
	if bny1 == nil {
		return nil, nil
	}
	defer C.BN_free(bny1)

	x1s := C.CString(x1.String())
	defer C.free(unsafe.Pointer(x1s))
	if C.BN_hex2bn(&bnx1, x1s) == 0 {
		return nil, nil
	}
	y1s := C.CString(y1.String())
	defer C.free(unsafe.Pointer(y1s))
	if C.BN_hex2bn(&bny1, y1s) == 0 {
		return nil, nil
	}

	pointR := C.EC_POINT_new(curve.curve)
	if pointR == nil {
		return nil, nil
	}
	defer C.EC_POINT_free(pointR)

	pointQ := C.EC_POINT_new(curve.curve)
	if pointQ == nil {
		return nil, nil
	}
	defer C.EC_POINT_free(pointQ)
	if C.EC_POINT_set_affine_coordinates_GFp(curve.curve, pointQ, bnx1, bny1, nil) != 1 {
		return nil, nil
	}

	n := C.BN_new()
	if n == nil {
		return nil, nil
	}
	defer C.BN_free(n)

	bn := C.CString(string(k))
	defer C.free(unsafe.Pointer(bn))
	if C.BN_hex2bn(&n, bn) == 0 {
		return nil, nil
	}

	if C.EC_POINT_mul(curve.curve, pointR, n, pointQ, nil, nil) != 1 {
		return nil, nil
	}

	rx := C.BN_new()
	if rx == nil {
		return nil, nil
	}
	defer C.BN_free(rx)
	ry := C.BN_new()
	if ry == nil {
		return nil, nil
	}
	defer C.BN_free(ry)
	if C.EC_POINT_get_affine_coordinates_GFp(curve.curve, pointR, rx, ry, nil) != 1 {
		return nil, nil
	}
	x, _ = new(big.Int).SetString(C.GoString(C.BN_bn2hex(rx)), 16)
	y, _ = new(big.Int).SetString(C.GoString(C.BN_bn2hex(ry)), 16)

	return
}