bundles / scipy 1.17.1 / scipy / integrate / _quadrature / fixed_quad
function
scipy.integrate._quadrature:fixed_quad
Signature
def fixed_quad ( func , a , b , args = () , n = 5 ) Summary
Compute a definite integral using fixed-order Gaussian quadrature.
Extended Summary
Integrate func from a to b using Gaussian quadrature of order n.
Parameters
func: callableA Python function or method to integrate (must accept vector inputs). If integrating a vector-valued function, the returned array must have shape
(..., len(x)).a: floatLower limit of integration.
b: floatUpper limit of integration.
args: tuple, optionalExtra arguments to pass to function, if any.
n: int, optionalOrder of quadrature integration. Default is 5.
Returns
val: floatGaussian quadrature approximation to the integral
none: NoneStatically returned value of None
Notes
Array API Standard Support
fixed_quad has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable SCIPY_ARRAY_API=1 and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.
==================== ==================== ==================== Library CPU GPU ==================== ==================== ==================== NumPy ✅ n/a CuPy n/a ⛔ PyTorch ⛔ ⛔ JAX ⛔ ⛔ Dask ⛔ n/a ==================== ==================== ====================
See
dev-arrayapifor more information.
Examples
from scipy import integrate import numpy as np f = lambda x: x**8✓
integrate.fixed_quad(f, 0.0, 1.0, n=4) integrate.fixed_quad(f, 0.0, 1.0, n=5)✗
print(1/9.0) # analytical result
✓integrate.fixed_quad(np.cos, 0.0, np.pi/2, n=4) integrate.fixed_quad(np.cos, 0.0, np.pi/2, n=5) np.sin(np.pi/2)-np.sin(0) # analytical result✗
See also
Aliases
-
scipy.integrate.fixed_quad