BigInteger bi = squarD.unscaledValue(); // bi and scale are a tandem
int biLen = bi.bitLength();
int shift = Math.max(0, biLen - BITS + (biLen%2 == 0 ? 0 : 1)); // even shift..
bi = bi.shiftRight(shift); // ..floors to 62 or 63 bit BigInteger
double root = Math.sqrt(bi.doubleValue());
BigDecimal halfBack = new BigDecimal(BigInteger.ONE.shiftLeft(shift/2));
int scale = squarD.scale();
if (scale % 2 == 1) {
root *= SQRT_10; // 5 -> 2, -5 -> -3 need half a scale more..