y1.cc File Reference

#include <iostream>
#include <cmath>
#include <algorithm>
#include <vector>
#include <cassert>
#include <cstdio>
#include <qd/qd_real.h>
#include <ls.h>

Include dependency graph for y1.cc:

Classes
class	Func< FLOAT >
class	matrix< FLOAT >

Functions
template<typename FLOAT >
FLOAT	a (int j, FLOAT z)
template<typename FLOAT >
FLOAT	b (int j, FLOAT z)
template<typename FLOAT >
FLOAT	cfrac (FLOAT z)
template<typename t >
t	convert (const char *c)
template<>
double	convert< double > (const char *c)
template<>
float	convert< float > (const char *c)
template<typename FLOAT >
FLOAT	e1 (FLOAT z)
template<typename FLOAT >
FLOAT	fit (const FLOAT &x, const vector< FLOAT > &p)
template<typename FLOAT >
void	fit (const FLOAT &x, const vector< FLOAT > &p, FLOAT &f, FLOAT &g, FLOAT &h)
template<typename FLOAT >
void	jacobi (int n, matrix< FLOAT > &a, vector< FLOAT > &e, matrix< FLOAT > &v)
template<typename FLOAT >
void	LSQ (int n, const matrix< FLOAT > &a, const vector< FLOAT > &b, vector< FLOAT > &x, const FLOAT &tol)
int	main ()
template<typename FLOAT >
void	makedata (const vector< FLOAT > &x, const vector< FLOAT > &f, const vector< FLOAT > &p, FLOAT &d0, vector< FLOAT > &d1, matrix< FLOAT > &d2, bool d0only=false)
template<typename t >
std::ostream &	operator<< (std::ostream &s, const matrix< t > &c)
template<typename t >
std::ostream &	operator<< (std::ostream &s, const std::vector< t > &c)
	easy printing of vectors
template<typename FLOAT >
vector< FLOAT >	opt (const vector< FLOAT > &x, const vector< FLOAT > &f, const vector< FLOAT > &w, const vector< FLOAT > &guess, int maxiter)
template<typename FLOAT >
void	plot (int npt, const FLOAT &a, const FLOAT &b, const vector< FLOAT > &p)
template<typename FLOAT >
FLOAT	series (FLOAT z)
template<typename FLOAT >
FLOAT	target (const FLOAT &x)
template<typename FLOAT >
void	target (const FLOAT &x, FLOAT &f, FLOAT &d1f, FLOAT &d2f)
template<typename FLOAT >
void	test ()
template<typename FLOAT >
vector< FLOAT >	updatex (const vector< FLOAT > &x, const vector< FLOAT > &p)
template<typename FLOAT >
FLOAT	weight (const FLOAT &x)
template<typename FLOAT >
void	weight (const FLOAT &x, FLOAT &f, FLOAT &d1f, FLOAT &d2f)

Function Documentation

a()

template<typename FLOAT >

FLOAT a	(	int	j,
		FLOAT	z
	)

References v.

b()

template<typename FLOAT >

FLOAT b	(	int	j,
		FLOAT	z
	)

cfrac()

template<typename FLOAT >

FLOAT cfrac

(

FLOAT

z

)

References a, b, delta, f, and one().

Referenced by e1().

convert()

template<typename t >

t convert

(

const char *

c

)

References c.

convert< double >()

template<>

double convert< double >

(

const char *

c

)

References c.

convert< float >()

template<>

float convert< float >

(

const char *

c

)

References c.

e1()

template<typename FLOAT >

FLOAT e1

(

FLOAT

z

)

References cfrac(), and series().

Referenced by doit(), main(), madness::ortho3(), madness::ortho5(), and test_converged_function().

fit() [1/2]

template<typename FLOAT >

FLOAT fit	(	const FLOAT &	x,
		const vector< FLOAT > &	p
	)

References p(), and sum.

Referenced by opt(), plot(), and updatex().

fit() [2/2]

template<typename FLOAT >

void fit	(	const FLOAT &	x,
		const vector< FLOAT > &	p,
		FLOAT &	f,
		FLOAT &	g,
		FLOAT &	h
	)

References f, g(), h(), and p().

jacobi()

template<typename FLOAT >

void jacobi	(	int	n,
		matrix< FLOAT > &	a,
		vector< FLOAT > &	e,
		matrix< FLOAT > &	v
	)

References a, c, e(), k, max, one(), u(), and v.

Referenced by LSQ(), opt(), and test().

LSQ()

template<typename FLOAT >

void LSQ	(	int	n,
		const matrix< FLOAT > &	a,
		const vector< FLOAT > &	b,
		vector< FLOAT > &	x,
		const FLOAT &	tol
	)

References a, b, jacobi(), k, sum, and v.

Referenced by test().

main()

int main

(

void

)

makedata()

template<typename FLOAT >

void makedata	(	const vector< FLOAT > &	x,
		const vector< FLOAT > &	f,
		const vector< FLOAT > &	p,
		FLOAT &	d0,
		vector< FLOAT > &	d1,
		matrix< FLOAT > &	d2,
		bool	d0only = false
	)

References f, g(), mu, p(), sum, w(), and weight().

Referenced by opt(), and test().

operator<<() [1/2]

template<typename t >

std::ostream & operator<<	(	std::ostream &	s,
		const matrix< t > &	c
	)

References c, and m.

operator<<() [2/2]

template<typename t >

std::ostream & operator<<	(	std::ostream &	s,
		const std::vector< t > &	c
	)

easy printing of vectors

References c.

opt()

template<typename FLOAT >

vector< FLOAT > opt	(	const vector< FLOAT > &	x,
		const vector< FLOAT > &	f,
		const vector< FLOAT > &	w,
		const vector< FLOAT > &	guess,
		int	maxiter
	)

References e(), f, fit(), func(), guess(), std::isnan(), jacobi(), k, makedata(), maxiter, one(), p(), print(), sum, v, and w().

Referenced by test().

plot()

template<typename FLOAT >

void plot	(	int	npt,
		const FLOAT &	a,
		const FLOAT &	b,
		const vector< FLOAT > &	p
	)

References a, b, fit(), h(), p(), pow(), target(), and weight().

Referenced by test().

series()

template<typename FLOAT >

FLOAT series

(

FLOAT

z

)

References sum.

Referenced by e1().

target() [1/2]

template<typename FLOAT >

FLOAT target

(

const FLOAT &

x

)

Referenced by plot(), test(), and updatex().

target() [2/2]

template<typename FLOAT >

void target	(	const FLOAT &	x,
		FLOAT &	f,
		FLOAT &	d1f,
		FLOAT &	d2f
	)

References f.

test()

template<typename FLOAT >

void test

(

)

References a, b, e(), f, jacobi(), k, LSQ(), makedata(), mu, nfunc, one(), opt(), p(), pi, plot(), pow(), sum, target(), u(), updatex(), w(), and weight().

updatex()

template<typename FLOAT >

vector< FLOAT > updatex	(	const vector< FLOAT > &	x,
		const vector< FLOAT > &	p
	)

References a, b, f, fit(), g(), h(), one(), p(), pow(), madness::Vector< T, N >::size(), target(), w(), and weight().

Referenced by test().

weight() [1/2]

template<typename FLOAT >

FLOAT weight

(

const FLOAT &

x

)

Referenced by makedata(), plot(), test(), and updatex().

weight() [2/2]

template<typename FLOAT >

void weight	(	const FLOAT &	x,
		FLOAT &	f,
		FLOAT &	d1f,
		FLOAT &	d2f
	)

References f.