C2Functions.py File Reference

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Detailed Description

Provides the analysis.C2Functions package.

Definition in file C2Functions.py.

Go to the source code of this file.

Namespaces
namespace	analysis.C2Functions
Classes
class	C2Exception
	Our own exception class. More...
class	RangeError
	Raised if an abscissa is out of range. More...
class	C2NakedFunction
	Raised if the base class C2Function is called without a valid value_with_derivatives(). More...
class	C2Function
	Provides support for the entire C2Function hierarchy. More...
class	C2ScaledFunction
	Create a function which is a simple scalar multiple of the parent. More...
class	C2Constant
	Create a function which is a constant. More...
class	_fC2sin
	Create a function which is the sine. Use the singleton C2Functions.C2sin to access this. More...
class	_fC2cos
	Create a function which is the cosine. Use the singleton C2Functions.C2cos to access this. More...
class	_fC2log
	Create a function which is the natural log. Use the singleton C2Functions.C2log to access this. More...
class	_fC2exp
	Create a function which is the e^x. Use the singleton C2Functions.C2exp to access this. More...
class	_fC2sqrt
	Create a function which is the square root. Use the singleton C2Functions.C2sqrt to access this. More...
class	C2ScaledRecip
	Create a function which is the scale /x. Use the singleton C2Functions.C2recip to access this as 1/x. More...
class	_fC2identity
	Create a function which is x. Use the singleton C2Functions.C2identity to access this. More...
class	C2Linear
	Create a function which is (x - x0)*slope + y0. More...
class	C2Quadratic
	Create a function which is a *(x - x0)**2 + b *(x - x0) + c. More...
class	C2PowerLaw
	Create a function which is ax**b. More...
class	C2Polynomial
	Create a function which is c0 + c1 (x-x0) + c2 (x-x0)^2 + ... More...
class	C2ComposedFunction
	create a composed function outer(inner(...)). The functions can either be unbound class names or class instances More...
class	C2BinaryFunction
	abstract class to create a binary function f (operator) g More...
class	C2Sum
	class to create function f + g More...
class	C2Diff
	class to create function f - g More...
class	C2Product
	class to create function f * g More...
class	C2Ratio
	class to create function f / g More...
class	C2Power
	class to create function f ** g with optimization if g is a constant More...
class	InterpolatingFunction
	the parent class for various interpolators. Does untransformed cubic splines by default. More...
class	LogLinInterpolatingFunction
	An InterpolatingFunction which stores log(x) vs. y. More...
class	LinLogInterpolatingFunction
	An InterpolatingFunction which stores x vs. log(y). More...
class	LogLogInterpolatingFunction
	An InterpolatingFunction which stores log(x) vs. log(y). More...
class	AccumulatedHistogram
class	LogLogAccumulatedHistogram
class	InverseIntegratedDensity
class	LinLogInverseIntegratedDensity
class	C2InverseFunction
class	C2ConnectorFunction
class	C2LHopitalRatio
Functions
def	native
def	_spline
	solve for the spline coefficients y''
def	_spline_extension
	compute the correct coefficients and insert them to allow spline extrapolation
def	_splint
	compute the interpolated value for a set of spline coefficients and either a scalar x or an array of x values
def	_identity
def	_one
def	_zero
def	_recip
def	_mrecip2
def	_myexp
def	_mylog
def	LinearInterpolatingGrid
	legacy...
def	LogLogInterpolatingGrid
	legacy...
def	as
def	bessj
def	bessj_adaptive
Variables
string	_rcsid = "$Id: C2Functions.py,v 1.66 2007/11/21 16:18:00 mendenhall Exp $"
	_numeric_float = _numeric.float64
tuple	C2sin = _fC2sin()
	a pre-constructed singleton
tuple	C2cos = _fC2cos()
	a pre-constructed singleton
tuple	C2log = _fC2log()
	a pre-constructed singleton
tuple	C2exp = _fC2exp()
	a pre-constructed singleton
tuple	C2sqrt = _fC2sqrt()
	a pre-constructed singleton
tuple	C2recip = C2ScaledRecip()
	a pre-constructed singleton for 1/x
tuple	C2identity = _fC2identity()
	a pre-constructed singleton identity
	_has_linalg = True
	LogConversions = _mylog,_recip,_mrecip2,_myexp
tuple	ag = ag1LinearInterpolatingGrid(1, 1.0,4)
tuple	ag13 = (ag1*ag1)
tuple	fn = C2sin(C2sqrt(ag1*ag1*ag1))
tuple	x1 = fn.find_root(0.0, 1.35128, 0.1, 0.995, trace=True)
float	x = 0.1
tuple	sna = C2sin(C2PowerLaw(1,2))
tuple	xg = _numeric.array(range(sample), _numeric_float)
tuple	partials = sna.partial_integrals(xg)
tuple	sumsum = sum(partials)
tuple	yg = sna(xg)
tuple	simp = sum(sna.partial_integrals(xg, derivs=1))
float	exact = 0.804776489343756110
int	pc = 3
tuple	b = math.exp(lv)
tuple	np = int(pc*b)
tuple	g = _numeric.array(range(np), _numeric_float)
tuple	v0 = C2recip.partial_integrals(g, allow_recursion=False)
	n0 = C2recip.total_func_evals
tuple	v1
	n1 = C2recip.total_func_evals
tuple	v2
	n2 = C2recip.total_func_evals
tuple	v3
	n3 = C2recip.total_func_evals
tuple	yy = _numeric.exp(-xg[:-1]*xg[:-1])
tuple	ah = AccumulatedHistogram(xg[::-1], yy[::-1], normalize=True)
tuple	ahi = AccumulatedHistogram(xg, yy, normalize=True, inverse_function=True)
tuple	xv = _numeric.array([1.5**(0.1*i) for i in range(100)])
tuple	yv = _numeric.array([x**(-4)+0.25*x**(-3) for x in xv])
tuple	f
tuple	f0 = C2PowerLaw(1., -4)
tuple	pp = f0.partial_integrals(_numeric.array(range(11), _numeric_float)*0.1 + 20)
list	energies = [float(2**(0.5*n)) for n in range(41)]
list	spect = [10000.0/(e*e) for e in energies]
list	e0 = energies[-1]
list	e1 = energies[0]
tuple	pf = LinLogInverseIntegratedDensity(energies[::-1], spect[::-1])
tuple	r = (0.025*i)
tuple	mma = (e0*e1)
tuple	grid = (0., 3., 6., 9., 12.)
tuple	v = fn.GetSamplingGrid(xmin,xmax)
tuple	sn = fn.NormalizedFunction(0., math.pi)
tuple	gn = fn.SquareNormalizedFunction(0., 4.0*math.pi)
	fn2 = fn*fn
	gn2 = gn*gn
tuple	myexp = _fC2exp()
tuple	a = C2InverseFunction(myexp)

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