Coverage for /pythoncovmergedfiles/medio/medio/usr/local/lib/python3.8/site-packages/scipy/integrate/__init__.py: 100%
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1"""
2=============================================
3Integration and ODEs (:mod:`scipy.integrate`)
4=============================================
6.. currentmodule:: scipy.integrate
8Integrating functions, given function object
9============================================
11.. autosummary::
12 :toctree: generated/
14 quad -- General purpose integration
15 quad_vec -- General purpose integration of vector-valued functions
16 dblquad -- General purpose double integration
17 tplquad -- General purpose triple integration
18 nquad -- General purpose N-D integration
19 fixed_quad -- Integrate func(x) using Gaussian quadrature of order n
20 quadrature -- Integrate with given tolerance using Gaussian quadrature
21 romberg -- Integrate func using Romberg integration
22 newton_cotes -- Weights and error coefficient for Newton-Cotes integration
23 IntegrationWarning -- Warning on issues during integration
24 AccuracyWarning -- Warning on issues during quadrature integration
26Integrating functions, given fixed samples
27==========================================
29.. autosummary::
30 :toctree: generated/
32 trapezoid -- Use trapezoidal rule to compute integral.
33 cumulative_trapezoid -- Use trapezoidal rule to cumulatively compute integral.
34 simpson -- Use Simpson's rule to compute integral from samples.
35 romb -- Use Romberg Integration to compute integral from
36 -- (2**k + 1) evenly-spaced samples.
38.. seealso::
40 :mod:`scipy.special` for orthogonal polynomials (special) for Gaussian
41 quadrature roots and weights for other weighting factors and regions.
43Solving initial value problems for ODE systems
44==============================================
46The solvers are implemented as individual classes, which can be used directly
47(low-level usage) or through a convenience function.
49.. autosummary::
50 :toctree: generated/
52 solve_ivp -- Convenient function for ODE integration.
53 RK23 -- Explicit Runge-Kutta solver of order 3(2).
54 RK45 -- Explicit Runge-Kutta solver of order 5(4).
55 DOP853 -- Explicit Runge-Kutta solver of order 8.
56 Radau -- Implicit Runge-Kutta solver of order 5.
57 BDF -- Implicit multi-step variable order (1 to 5) solver.
58 LSODA -- LSODA solver from ODEPACK Fortran package.
59 OdeSolver -- Base class for ODE solvers.
60 DenseOutput -- Local interpolant for computing a dense output.
61 OdeSolution -- Class which represents a continuous ODE solution.
64Old API
65-------
67These are the routines developed earlier for SciPy. They wrap older solvers
68implemented in Fortran (mostly ODEPACK). While the interface to them is not
69particularly convenient and certain features are missing compared to the new
70API, the solvers themselves are of good quality and work fast as compiled
71Fortran code. In some cases, it might be worth using this old API.
73.. autosummary::
74 :toctree: generated/
76 odeint -- General integration of ordinary differential equations.
77 ode -- Integrate ODE using VODE and ZVODE routines.
78 complex_ode -- Convert a complex-valued ODE to real-valued and integrate.
81Solving boundary value problems for ODE systems
82===============================================
84.. autosummary::
85 :toctree: generated/
87 solve_bvp -- Solve a boundary value problem for a system of ODEs.
88""" # noqa: E501
91from ._quadrature import *
92from ._odepack_py import *
93from ._quadpack_py import *
94from ._ode import *
95from ._bvp import solve_bvp
96from ._ivp import (solve_ivp, OdeSolution, DenseOutput,
97 OdeSolver, RK23, RK45, DOP853, Radau, BDF, LSODA)
98from ._quad_vec import quad_vec
100# Deprecated namespaces, to be removed in v2.0.0
101from . import dop, lsoda, vode, odepack, quadpack
103__all__ = [s for s in dir() if not s.startswith('_')]
105from scipy._lib._testutils import PytestTester
106test = PytestTester(__name__)
107del PytestTester