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63 lines
1.4 KiB
C#

using System.Runtime.CompilerServices;
namespace PerfectNumbers.Core;
public struct BidirectionalCycleRemainderStepper(ulong modulus)
{
private readonly ulong _modulus = modulus;
private ulong _previous = 0UL;
private ulong _remainder = 0UL;
public readonly ulong Modulus
{
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
get
{
return _modulus;
}
}
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
public void Initialize(ulong value)
{
_remainder = value.ReduceCycleRemainder(_modulus);
_previous = value;
}
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
public ulong Step(ulong value)
{
long delta = unchecked((long)value - (long)_previous);
_previous = value;
if (delta == 0)
{
return _remainder;
}
if (delta > 0)
{
ulong step = ((ulong)delta).ReduceCycleRemainder(_modulus);
ulong sum = _remainder + step;
if (sum >= _modulus)
{
sum -= _modulus;
}
_remainder = sum;
return _remainder;
}
ulong backward = ((ulong)-delta).ReduceCycleRemainder(_modulus);
if (backward > _remainder)
{
ulong diff = backward - _remainder;
ulong wrap = diff.ReduceCycleRemainder(_modulus);
_remainder = wrap == 0 ? 0UL : _modulus - wrap;
return _remainder;
}
_remainder -= backward;
return _remainder;
}
}