MathSpecialFunctionsTestFunctions

8 oct 2021

Library "MathSpecialFunctionsTestFunctions"
Methods for test functions.

rosenbrock(input_x, input_y) Valley-shaped Rosenbrock function for 2 dimensions: (x,y) -> (1-x)^2 + 100*(y-x^2)^2.
Parameters:

• input_x: float, common range within (-5.0, 10.0) or (-2.048, 2.048).
  
• input_y: float, common range within (-5.0, 10.0) or (-2.048, 2.048).

Returns: float

rosenbrock_mdim(samples) Valley-shaped Rosenbrock function for 2 or more dimensions.
Parameters:

• samples: float array, common range within (-5.0, 10.0) or (-2.048, 2.048).

Returns: float

himmelblau(input_x, input_y) Himmelblau, a multi-modal function: (x,y) -> (x^2+y-11)^2 + (x+y^2-7)^2
Parameters:

• input_x: float, common range within (-6.0, 6.0 ).
  
• input_y: float, common range within (-6.0, 6.0 ).

Returns: float

rastrigin(samples) Rastrigin, a highly multi-modal function with many local minima.
Parameters:

• samples: float array, common range within (-5.12, 5.12 ).

Returns: float

drop_wave(input_x, input_y) Drop-Wave, a multi-modal and highly complex function with many local minima.
Parameters:

• input_x: float, common range within (-5.12, 5.12 ).
  
• input_y: float, common range within (-5.12, 5.12 ).

Returns: float

ackley(input_x) Ackley, a function with many local minima. It is nearly flat in outer regions but has a large hole at the center.
Parameters:

• input_x: float array, common range within (-32.768, 32.768 ).

Returns: float

bohachevsky1(input_x, input_y) Bowl-shaped first Bohachevsky function.
Parameters:

• input_x: float, common range within (-100.0, 100.0 ).
  
• input_y: float, common range within (-100.0, 100.0 ).

Returns: float

matyas(input_x, input_y) Plate-shaped Matyas function.
Parameters:

• input_x: float, common range within (-10.0, 10.0 ).
  
• input_y: float, common range within (-10.0, 10.0 ).

Returns: float

six_hump_camel(input_x, input_y) Valley-shaped six-hump camel back function.
Parameters:

• input_x: float, common range within (-3.0, 3.0 ).
  
• input_y: float, common range within (-2.0, 2.0 ).

Returns: float