import os import logging logging.basicConfig( level = logging.DEBUG, format = '%(asctime)s %(levelname)s %(message)s', filename = os.path.join(os.sep, 'tmp', 'baker.lol'), ) import numpy as np class smberror(Exception): """ this is a silly little exception subclass """ def __init__(self, val): self.value = val def __str__(self): return repr(self.value) def rms(errors): """ root mean square calculation """ r = 0.0 for i in errors: r += np.power(i, 2) r = np.sqrt(r / len(errors)) return r def exact_func(X): """ the exact function used from baker's article (for testing) """ x = X[0] y = X[0] return np.power((np.sin(x * np.pi) * np.cos(y * np.pi)), 2) def exact_func_3D(X): """ the exact function (3D) used from baker's article (for testing) """ x = X[0] y = X[1] z = X[2] return np.power((np.sin(x * np.pi / 2.0) * np.sin(y * np.pi / 2.0) * np.sin(z * np.pi / 2.0)), 2) def improved_answer(answer, exact, verbose=False): if verbose: print 'qlin' , answer['qlin'] print 'error', answer['error'] print 'final', answer['final'] if abs(answer['final'] - exact) <= abs(answer['qlin'] - exact): if verbose: print ":) improved result" return True else: if verbose: print ":( damaged result" return False