Reputation: 715
Members,
What I am trying to do is to right or left shift the digits of an Int32
(not the bits!!).
So if shift the constant:
123456789
by 3
I should get
789123456
So no digits get lost, because we talk about a circular shift. After a bit of testing I've come up with this method, which works:
static uint[] Pow10 = new uint[] { 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, uint.MaxValue };
static uint RotateShift10(uint value, int shift)
{
int r = (int)Math.Floor(Math.Log10(value) + 1);
while (r < shift)
shift = shift - r;
if (shift < 0) shift = 9 + shift;
uint x = value / Pow10[shift];
uint i = 0;
while (true)
{
if (x < Pow10[i])
return x + (value % Pow10[shift]) * Pow10[i];
i += 1;
}
}
The way I am looking for should be an arithmetic solution, not a string conversion and then the rotation. I also assume that:
My algorithm already does all of that, and I like to know if there are way to tweak it a bit, if there is a better arithmetic solution to the problem?
Upvotes: 6
Views: 1500
Reputation: 12544
Because I just can't resist a 'has to have an arithmetic approach' challenge :D , fiddled around with the following:
static uint RotateShift(uint value, int shift)
{
int len = (int)Math.Log10(value) + 1;
shift %= len;
if (shift < 0) shift += len;
uint pow = (uint)Math.Pow(10, shift);
return (value % pow) * (uint)Math.Pow(10, len - shift) + value / pow;
}
edit Also some test results
foreach(var val in new uint[]{123456789, 12345678})
foreach (var shift in new[] { 3, -3, 1, -1, 11, -11, 18 })
{
Console.WriteLine("Value {0} Shift {1} -> {2}", val, shift, RotateShift(val, shift));
}
Value 123456789 Shift 3 -> 789123456
Value 123456789 Shift -3 -> 456789123
Value 123456789 Shift 1 -> 912345678
Value 123456789 Shift -1 -> 234567891
Value 123456789 Shift 11 -> 891234567
Value 123456789 Shift -11 -> 345678912
Value 123456789 Shift 18 -> 123456789
Value 12345678 Shift 3 -> 67812345
Value 12345678 Shift -3 -> 45678123
Value 12345678 Shift 1 -> 81234567
Value 12345678 Shift -1 -> 23456781
Value 12345678 Shift 11 -> 67812345
Value 12345678 Shift -11 -> 45678123
Value 12345678 Shift 18 -> 78123456
Upvotes: 5