unsigned long long rotateLeft( unsigned long long bs )
{
     return ( ( bs & 0x0000000000001111 ) << 48 ) |
            ( ( bs & 0x0000000000002222 ) << 31 ) |
            ( ( bs & 0x0000000000004444 ) << 14 ) |
            ( ( bs & 0x0000000000008888 ) >>  3 ) |
            ( ( bs & 0x0000000011110000 ) << 33 ) |
            ( ( bs & 0x0000000022220000 ) << 16 ) |
            ( ( bs & 0x0000000044440000 ) >>  1 ) |
            ( ( bs & 0x0000000088880000 ) >> 18 ) |
            ( ( bs & 0x0000111100000000 ) << 18 ) |
            ( ( bs & 0x0000222200000000 ) <<  1 ) |
            ( ( bs & 0x0000444400000000 ) >> 16 ) |
            ( ( bs & 0x0000888800000000 ) >> 33 ) |
            ( ( bs & 0x1111000000000000 ) <<  3 ) |
            ( ( bs & 0x2222000000000000 ) >> 14 ) |
            ( ( bs & 0x4444000000000000 ) >> 31 ) |
            ( ( bs & 0x8888000000000000 ) >> 48 );
}

unsigned long long rotateLeft( unsigned long long bs )
{
    //mirror in diagonal plane (x=z?)
    bs =   ( ( bs & 0x0000000000008888 ) << 45 ) | ( ( bs & 0x1111000000000000 ) >> 45 ) |
           ( ( bs & 0x0000000088884444 ) << 30 ) | ( ( bs & 0x2222111100000000 ) >> 30 ) |
           ( ( bs & 0x0000888844442222 ) << 15 ) | ( ( bs & 0x4444222211110000 ) >> 15 ) |
             ( bs & 0x8888444422221111 );
    //mirror in vertical plane (xy?)
    //I do apologize  for not knowing the correct terminology.
    bs =   ( ( bs & 0x00000000ffffffff ) << 32 ) | ( ( bs & 0xffffffff00000000 ) >> 32 );
    return ( ( bs & 0x0000ffff0000ffff ) << 16 ) | ( ( bs & 0xffff0000ffff0000 ) >> 16 ) |
}