math_tools.h File Reference

Math tools header file. More...

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Macros
#define	ODE_RK2   2
#define	ODE_RK4   4
#define	ODE_CK45   45
#define	MAXITS   200
#define	EPS_FD_JAC   1.0e-7
#define	TOLF   EPS_FD_JAC
#define	TOLX   EPS_FD_JAC
#define	STPMX   100.0
#define	TOLMIN   1.0e-6
#define	ALF   1.0e-4
#define	MAX_ROOT_EQNS   8

Detailed Description

Math tools header file.

This module provides a number of standard numerical routines to achieve simple basic tasks such as

• Numerical quadrature: GaussQuadrature();
• LU decomposition functions: LUDecompose(), LUBackSubst();
• Scalar and multi-dim. root finder methods: Brent(), Ridder(), Brodyen();
• Vector transformation, VectorCartesianComponents();
• Ordinary differential equation solvers: ODESolve() with RK4Solve() or CK45Solve();
• Table handling: LocateIndex(), Table2DInterpolate(), GenerateTable2D(), InverseLookupTable2D().

Authors

A. Mignone (migno.nosp@m.ne@p.nosp@m.h.uni.nosp@m.to.i.nosp@m.t)

Date

Sep 22, 2014

Definition in file math_tools.h.

Macro Definition Documentation

#define ALF   1.0e-4

Definition at line 36 of file math_tools.h.

#define EPS_FD_JAC   1.0e-7

Definition at line 31 of file math_tools.h.

#define MAX_ROOT_EQNS   8

Definition at line 37 of file math_tools.h.

#define MAXITS   200

Definition at line 30 of file math_tools.h.

#define ODE_CK45   45

Definition at line 28 of file math_tools.h.

#define ODE_RK2   2

Definition at line 26 of file math_tools.h.

#define ODE_RK4   4

Definition at line 27 of file math_tools.h.

#define STPMX   100.0

Definition at line 34 of file math_tools.h.

#define TOLF   EPS_FD_JAC

Definition at line 32 of file math_tools.h.

#define TOLMIN   1.0e-6

Definition at line 35 of file math_tools.h.

#define TOLX   EPS_FD_JAC

Definition at line 33 of file math_tools.h.