''' root = ridder(f,a,b,tol=1.0e-9). Finds a root of f(x) = 0 with Ridder's method. The root must be bracketed in (a,b). ''' import error from math import sqrt def ridder(f,a,b,tol=1.0e-9): fa = f(a) if fa == 0.0: return a fb = f(b) if fb == 0.0: return b if fa*fb > 0.0: error.err('Root is not bracketed') for i in range(30): # Compute the improved root x from Ridder's formula c = 0.5*(a + b); fc = f(c) s = sqrt(fc**2 - fa*fb) if s == 0.0: return None dx = (c - a)*fc/s if (fa - fb) 0: if abs(x - xOld) 0.0: if fa*fx
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