ivcurves.compare_curves._find_x_intersection#

ivcurves.compare_curves._find_x_intersection(interval, func, point, atol, maxsteps=100)#

Finds x-coordinate of the intersection between the known IV curve and the line segment from the origin to the given point.

This is an auxiliary function for total_score().

Parameters:

  • interval (tuple(float, float)) – An interval on the x-axis that contains an intersection.

  • func (function) – A two-variable scalar-valued function.

  • point (tuple(float, float)) – The point defining the line from the origin.

  • atol (float) – Absolute tolerance of how close the found x-coordiante must be to the true x-coordinate of the intersection point.

  • maxsteps (int, default 100) – Maximum number of iterations for ivcurves.precise.golden_search() and mp.findroot() to find the x-coordinate of the intersection point. A ValueError by either iteration if atol is not met after maxsteps iterations.

Returns:

x-coordinate of an intersection.

Return type:

float