public Exponential(ref OutputScreen OutputWin)
{
Output = OutputWin;
data = new Data()
{
time = "O(Logn)", space = "O(1)"
};
Output.UpdateInfo(@"private string ExSearch(ref decimal[] input, int length, decimal target, ref int count)
{
//look in the first position
if (input[0] == target)
{
return 0.ToString();
}
//find the next range for the binary search
int i = 1;
while (i < length && input[i] <= target)
{
i = i * 2;
}
//call binary search function for found range
return BSearch(ref input, i / 2, Math.Min(i, length), target, ref count);
}");
}
//Algorithm
public Interpolation(ref OutputScreen OutputWin)
{
Output = OutputWin;
data = new Data()
{
time = "O(LogLogn)", space = "O(1)"
};
Output.UpdateInfo(@"public string ISearch(decimal[] input, int min, int max, decimal key)
{
//midpoint container
int mid;
int count = 0;
while (min <= max)
{
//get midpoint
mid = (int)(min + (max - min) * ((key - input[min]) / (input[max] - input[min])));
//keep it in bounds of array
if (mid < 0)
{
mid = 0;
}
else if (mid > max)
{
mid = max;
}
//if found
if (key == input[mid])
{
//return string
return $"" Location: {mid + 1}"";
}
//where to look next
else if (key < input[mid])
{
max = mid - 1;
}
else
{
min = mid + 1;
}
}
//return error
return ""Item not found"";
}");
}
public Linear(ref OutputScreen OutputWin)
{
Output = OutputWin;
data = new Data()
{
time = "O(n)", space = "O(1)"
};
Output.UpdateInfo(@"private string LSearch(decimal[] input, decimal target, ref int count)
{
//loop through the array
for (int i = 0; i < input.Length; i++)
{
//if target then return
if (input[i] == target)
{
return $""Location: {i + 1}"";
}
}
//else not in the array
return ""Not Found"";
}");
}
public Binary(ref OutputScreen OutputWin)
{
Output = OutputWin;
data = new Data()
{
time = "O(Logn)", space = "O(1)"
};
Output.UpdateInfo(@"private string BSearch(decimal[] input, int start, int stop, decimal key, int length, ref int count)
{
//ran out of array
if (start > stop)
{
return null;
}
//get midpoint
int mid = (start + stop) / 2;
//if found
if (key == input[mid])
{
//add location to string
return $""Location: {mid + 1}"";
}
//where to look next
else if (key < input[mid])
{
return BSearch(input, start, mid - 1, key, length, ref count);
}
else
{
return BSearch(input, mid + 1, stop, key, length, ref count);
}
}");
}
public Fibonacci(ref OutputScreen OutputWin)
{
Output = OutputWin;
data = new Data()
{
time = "O(Logn)", space = "O(1)"
};
Output.UpdateInfo(@"private string FSearch(decimal[] input, decimal target, int length, ref int count)
{
//get the fib numbers
int fib2 = 0;
int fib1 = 1;
int fib = fib2 + fib1;
//get the smallest fib1/2 >= fib
while (fib < length)
{
fib2 = fib1;
fib1 = fib;
fib = fib2 + fib1;
}
int offset = -1;
while (fib > 1)
{
//check if fib2 is valid
int i = Math.Min(offset + fib2, length - 1);
//if target is greater, split array before offset
if (input[i] < target)
{
fib = fib1;
fib1 = fib2;
fib2 = fib - fib1;
offset = i;
}
//if target is greater, split array after offset
else if (input[i] > target)
{
fib = fib2;
fib1 = fib1 - fib2;
fib2 = fib - fib1;
}
//found
else
{
return $""Location: {i + 1}"";
}
}
//if final element
if (fib1 == 1 && input[offset + 1] == target)
{
return $""Location: {offset + 2}"";
}
//doesnt exist
return ""Not Found"";
}");
}