- dblquad(func, a, b, gfun, hfun, args = (), epsabs = 1.4899999999999999e-08, epsrel = 1.4899999999999999e-08)
Compute a double (definite) integral.
Description:
Return the double integral of func2d(y,x) from x=a..b and y=gfun(x)..hfun(x).
Inputs:
func2d -- a Python function or method of at least two variables: y must be
the first argument and x the second argument.
(a,b) -- the limits of integration in x: a < b
gfun -- the lower boundary curve in y which is a function taking a single
floating point argument (x) and returning a floating point result:
a lambda function can be useful here.
hfun -- the upper boundary curve in y (same requirements as gfun).
args -- extra arguments to pass to func2d.
epsabs -- absolute tolerance passed directly to the inner 1-D quadrature
integration.
epsrel -- relative tolerance of the inner 1-D integrals.
Outputs: (y, abserr)
y -- the resultant integral.
abserr -- an estimate of the error.
See also:
quad - single integral
tplquad - triple integral
fixed_quad - fixed-order Gaussian quadrature
quadrature - adaptive Gaussian quadrature
odeint, ode - ODE integrators
simps, trapz, romb - integrators for sampled data
scipy.special - for coefficients and roots of orthogonal polynomials
- quad(func, a, b, args = (), full_output = 0, epsabs = 1.4899999999999999e-08, epsrel = 1.4899999999999999e-08, limit = 50, points = None, weight = None, wvar = None, wopts = None, maxp1 = 50, limlst = 50)
Compute a definite integral.
Description:
Integrate func from a to b (possibly infinite interval) using a technique
from the Fortran library QUADPACK. Run scipy.integrate.quad_explain()
for more information on the more esoteric inputs and outputs.
Inputs:
func -- a Python function or method to integrate.
a -- lower limit of integration (use -scipy.integrate.Inf for -infinity).
b -- upper limit of integration (use scipy.integrate.Inf for +infinity).
args -- extra arguments to pass to func.
full_output -- non-zero to return a dictionary of integration information.
If non-zero, warning messages are also suppressed and the
message is appended to the output tuple.
Outputs: (y, abserr, {infodict, message, explain})
y -- the integral of func from a to b.
abserr -- an estimate of the absolute error in the result.
infodict -- a dictionary containing additional information.
Run scipy.integrate.quad_explain() for more information.
message -- a convergence message.
explain -- appended only with 'cos' or 'sin' weighting and infinite
integration limits, it contains an explanation of the codes in
infodict['ierlst']
Additional Inputs:
epsabs -- absolute error tolerance.
epsrel -- relative error tolerance.
limit -- an upper bound on the number of subintervals used in the adaptive
algorithm.
points -- a sequence of break points in the bounded integration interval
where local difficulties of the integrand may occur (e.g.,
singularities, discontinuities). The sequence does not have
to be sorted.
**
** Run scipy.integrate.quad_explain() for more information
** on the following inputs
**
weight -- string indicating weighting function.
wvar -- variables for use with weighting functions.
limlst -- Upper bound on the number of cylces (>=3) for use with a sinusoidal
weighting and an infinite end-point.
wopts -- Optional input for reusing Chebyshev moments.
maxp1 -- An upper bound on the number of Chebyshev moments.
See also:
dblquad, tplquad - double and triple integrals
fixed_quad - fixed-order Gaussian quadrature
quadrature - adaptive Gaussian quadrature
odeint, ode - ODE integrators
simps, trapz, romb - integrators for sampled data
scipy.special - for coefficients and roots of orthogonal polynomials
- quad_explain(output = sys.stdout)
- tplquad(func, a, b, gfun, hfun, qfun, rfun, args = (), epsabs = 1.4899999999999999e-08, epsrel = 1.4899999999999999e-08)
Compute a triple (definite) integral.
Description:
Return the triple integral of func3d(z, y,x) from x=a..b, y=gfun(x)..hfun(x),
and z=qfun(x,y)..rfun(x,y)
Inputs:
func3d -- a Python function or method of at least three variables in the
order (z, y, x).
(a,b) -- the limits of integration in x: a < b
gfun -- the lower boundary curve in y which is a function taking a single
floating point argument (x) and returning a floating point result:
a lambda function can be useful here.
hfun -- the upper boundary curve in y (same requirements as gfun).
qfun -- the lower boundary surface in z. It must be a function that takes
two floats in the order (x, y) and returns a float.
rfun -- the upper boundary surface in z. (Same requirements as qfun.)
args -- extra arguments to pass to func3d.
epsabs -- absolute tolerance passed directly to the innermost 1-D quadrature
integration.
epsrel -- relative tolerance of the innermost 1-D integrals.
Outputs: (y, abserr)
y -- the resultant integral.
abserr -- an estimate of the error.
See also:
quad - single integral
dblquad - double integral
fixed_quad - fixed-order Gaussian quadrature
quadrature - adaptive Gaussian quadrature
odeint, ode - ODE integrators
simps, trapz, romb - integrators for sampled data
scipy.special - for coefficients and roots of orthogonal polynomials
SciPy 0.6.0 API Documentation Generated by Endo, 2007-10-17