This isn't regular rounding thing which rounds up or down based of a single value. I would want to have a function where I pass the amount as integer and denominations as array of integer. What that function should return to me is a nearest possible integer value achievable with passed array of denominations. Whether to round up or down will again be sent as a parameter.
Code:
var amount = 61; // for. e.g.
int[] denoms = [20, 50]; // for. e.g.
bool roundUp = true;
amount = RoundAmount(amount, denoms, roundUp);
Expected result :
RoundAmount function should return me the nearest possible amount achievable with denoms that I have passed.
- If
roundUp = true, The return value should be70, because70 = 20+50and amount70can be achieved by one note of 20s and one note of 50s. - If
roundUp = false, It should have returned60, because60 = 20+20+20and amount60can be achieved by 3 notes of 20s
What I got so far :
I was only reached to the point where I can manage to round the amount up or down based on a single integer (and not the array of integers)
public int RoundAmount(int amount, int value, bool roundUp)
{
if (roundUp)
amount = amount - (amount % value) + value;
else
amount = amount - (amount % value)
return amount;
}
Edit:
I have another recursive function which checks if amount is achievable or not,
Only if amount isn't achievable, RoundAmount function is called.
So in my example, amount = 70 will never be the input because 70 is achievable with available denoms and I won't call the RoundAmount in that case.
Solution: (Thanks to maraca and Koray)
I'm glad its working with long numbers though it wasn't original requirement.
private static long RoundAmount_maraca(long a, long[] d, bool up)
{
d = d.ToArray();
Array.Sort(d);
if (a < d[0])
return up ? d[0] : 0;
long count = 0;
for (long i = 0; i < d.Length; i++)
{
if (d[i] == 0)
continue;
for (long j = i + 1; j < d.Length; j++)
if (d[j] % d[i] == 0)
d[j] = 0;
if (d[i] > a && !up)
break;
d[count++] = d[i];
if (d[i] > a)
break;
}
if (count == 1)
return (!up ? a : (a + d[0] - 1)) / d[0] * d[0];
long gcd = euclid(d[1], d[0]);
for (long i = 2; i < count && gcd > 1; i++)
gcd = euclid(d[i], gcd);
if (up)
a = (a + gcd - 1) / gcd;
else
a /= gcd;
for (long i = 0; i < count; i++)
{
d[i] /= gcd;
if (a % d[i] == 0)
return a * gcd;
}
var set = new HashSet<long>();
set.Add(0);
long last = 0;
for (long n = d[0]; ; n++)
{
if (!up && n > a)
return last * gcd;
for (long i = 0; i < count && n - d[i] >= 0; i++)
{
if (set.Contains(n - d[i]))
{
if (n >= a)
return n * gcd;
if ((a - n) % d[0] == 0)
return a * gcd;
set.Add(n);
last = n;
break;
}
}
}
}
private static long euclid(long a, long b)
{
while (b != 0)
{
long h = a % b;
a = b;
b = h;
}
return a;
}