/// <summary>
/// Finds the x-coordinate of the point where two linear functions meet (or null if they have approximately the same slope).
/// </summary>
/// <param name="other">The other function that this function may intersect with.</param>
/// <returns>The x-coordinate of the intersection, or null if the functions have approximately the same slope.</returns>
public double?GetIntersection(LinearFunction other)
{
if (this.Slope.ApproximatelyEquals(other.Slope))
{
return(null);
}
/* Formula for the intersection of two (non-parallel) lines:
*
* Assuming one line is y = ax + c and the other is y = bx + d,
*
* x = (d - c) / (a - b)
* y = a * ( (d - c) / (a - b) ) + c
*
* Of course, we only need the x-value.
* So, let's use the following:
* a - slope of first
* b - slope of second
* c - y-intersect of first
* d - y-intersect of second
*/
return((other.YIntersect - this.YIntersect) / (this.Slope - other.Slope));
}
/// <summary>
/// Initializes a new instance of the <see cref="LinearFunction"/> class, copied from another instance.
/// </summary>
/// <param name="other">The target <see cref="LinearFunction"/> to copy.</param>
public LinearFunction(LinearFunction other)
{
this.Slope = other.Slope;
this.YIntersect = other.YIntersect;
}