sc_math.h

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/*
 * sc_math.h 
 *
 * Programmers: Stephanie Thomas, Michael Paluszek
 *
 * Copyright 2000-2006, Princeton Satellite Systems. All rights reserved.
 *
 * Math functions.
 */
 
#ifndef __SC_MATH__
#define __SC_MATH__
 
#include <math.h>
#ifdef AS_OS_WINDOWS
#include "matrixlib.h"
#else
#include <MatrixLib/MatrixLib.h>
#endif
#include "sc_constants.h"
 
extern "C++"
{
 
double golden_section( double RHS( double x, void *context ), double a, double b, double tol, int maxIts, void *context );
ml_matrix rk0( ml_matrix RHS( ml_matrix x, double t, void *context ), ml_matrix& x, double h, double t, void *context );
ml_matrix  rk4 ( ml_matrix RHS( ml_matrix x, double t ), ml_matrix& x, double h, double t );
ml_matrix rk4( ml_matrix RHS( ml_matrix x, double t, void *context ), ml_matrix& x, double h, double t, void *context );
ml_matrix  rk4 ( ml_matrix RHS( ml_matrix& x, ml_matrix& a ), ml_matrix& x, double h, ml_matrix a );
double pss_rem( double x, double y );
double fix( double x );
double r2p5( double x );
int sct_sign( double x );
double sct_max(double a, double b);
double unwrap( double angle );
ml_matrix intersect_line_ellipsoid(const ml_matrix& p, const ml_matrix& u, const ml_matrix& e);
ml_matrix intersect_line_sphere(const ml_matrix& p, const ml_matrix& u, double r );
ml_matrix p_gauss( int nMax, int mMax, double theta, ml_matrix &dp );
void s_c_harm( const ml_matrix& a, int n, ml_matrix& s, ml_matrix& c );
void c_to_d_zoh( const ml_matrix& a, const ml_matrix& b, double dT, ml_matrix& aD, ml_matrix& bD );
ml_matrix expm( const ml_matrix& a );
double WrapPhase( double angle );
ml_matrix WrapPhase( ml_matrix angle );
ml_matrix UnwrapPhase( ml_matrix theta );
ml_matrix diff( ml_matrix a );
ml_matrix delt_circ( ml_matrix x, ml_matrix y );
ml_matrix circle_fit( ml_matrix x, ml_matrix y );
double factorial( double n );
double interp_2d(ml_matrix a, ml_matrix x, ml_matrix y, double xK, double yK );
double newton_raphson( double f( double x, void *context ), double df( double x, void *context ), double x0,double tol, int nMax, void *context );
double secant( double RHS( double x, void *context ), double x0, double x00, double tol, int nMax, void *context );
ml_matrix average_unit_vector( ml_matrix u1, ml_matrix u2 );
ml_matrix pinv( ml_matrix a );
ml_matrix downhill_simplex( double RHS( const ml_matrix& x, void *context ), ml_matrix& x, ml_matrix& options, void *context );
ml_matrix orthogonalize( ml_matrix a );
ml_matrix logistic( ml_matrix x );
double logistic( double x );
double interp_extrap_1d(ml_matrix a, ml_matrix x, double xK);
double gaussian_multivariate_density(ml_matrix y, ml_matrix y_bar, ml_matrix P );
ml_matrix roots_second_order( double a, double b, double c );
ml_matrix roots_second_order( const ml_matrix& p );
ml_matrix skew_symmetric( const ml_matrix& p );
double trig_reduction( double a, double b, double c );
ml_matrix m_k_3_by_3( const ml_matrix& m, int k );
int intersect_line_sphere_true( const ml_matrix& p1, const ml_matrix& p2, double r );
ml_matrix append_diagonal( const ml_matrix& a, const ml_matrix& b);
double trapezoidal_integration(double Integrand( double x, void *context ), double a, double b, int n, void* context);
double two_dimensional_integration( ml_matrix Integrand( const ml_matrix& x, const ml_matrix& y,  void *context ), double a, double b, double c, double d, int nX, int nY, void *context);
 
 
}
 
#endif