poly.c File Reference

#include <stddef.h>
#include <stdlib.h>
#include <math.h>
#include <float.h>
#include <string.h>
#include "c99.h"
#include "name.h"
#include "fail.h"
#include "mem.h"
#include "poly_imp.h"

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Macros
#define	lagrange_size   PREFIXED_NAME(lagrange_size )
#define	lagrange_setup   PREFIXED_NAME(lagrange_setup)
#define	gauss_nodes   PREFIXED_NAME(gauss_nodes )
#define	gauss_quad   PREFIXED_NAME(gauss_quad )
#define	lobatto_nodes   PREFIXED_NAME(lobatto_nodes )
#define	lobatto_quad   PREFIXED_NAME(lobatto_quad )
#define	gll_lag_size   PREFIXED_NAME(gll_lag_size )
#define	gll_lag_setup   PREFIXED_NAME(gll_lag_setup )
#define	EPS   (128*DBL_EPSILON)
#define	PI   3.1415926535897932384626433832795028841971693993751058209749445923

Typedefs
typedef void	lagrange_fun(double *restrict p, double *restrict data, unsigned n, int d, double x)

Functions
static void	lagrange_eval (double *restrict p, double *restrict data, unsigned n, int der, double x)
static void	lagrange_coef (double *restrict p, double *data, double *w, const double *z, unsigned n, lagrange_fun *lag_eval)
unsigned	lagrange_size (unsigned n)
lagrange_fun *	lagrange_setup (double *restrict data, const double *restrict z, unsigned n)
static double	legendre (int n, double x)
static double	legendre_d1 (int n, double x)
static double	legendre_d2 (int n, double x)
void	gauss_nodes (double *restrict z, int n)
static void	lobatto_nodes_aux (double *restrict z, int n)
static void	lobatto_nodes_n (double *restrict z, int n)
static void	lobatto_nodes_fix (double *restrict z, int n)
void	lobatto_nodes (double *restrict z, int n)
void	gauss_quad (double *restrict z, double *restrict w, int n)
void	lobatto_quad (double *restrict z, double *restrict w, int n)
unsigned	gll_lag_size (unsigned n)
lagrange_fun *	gll_lag_setup (double *restrict data, int n)

Macro Definition Documentation

#define EPS   (128*DBL_EPSILON)

Definition at line 74 of file poly.c.

Referenced by gauss_nodes(), and lobatto_nodes_aux().

#define gauss_nodes   PREFIXED_NAME(gauss_nodes )

Definition at line 13 of file poly.c.

Referenced by gauss_quad(), and main().

#define gauss_quad   PREFIXED_NAME(gauss_quad )

Definition at line 14 of file poly.c.

Referenced by main().

#define gll_lag_setup   PREFIXED_NAME(gll_lag_setup )

Definition at line 18 of file poly.c.

Referenced by findpts_el_setup_2(), findpts_el_setup_3(), lob_bnd_setup(), and main().

#define gll_lag_size   PREFIXED_NAME(gll_lag_size )

Definition at line 17 of file poly.c.

Referenced by findpts_el_setup_2(), findpts_el_setup_3(), lob_bnd_setup(), main(), obbox_calc_2(), and obbox_calc_3().

#define lagrange_setup   PREFIXED_NAME(lagrange_setup)

Definition at line 12 of file poly.c.

Referenced by main().

#define lagrange_size   PREFIXED_NAME(lagrange_size )

Definition at line 11 of file poly.c.

Referenced by main().

#define lobatto_nodes   PREFIXED_NAME(lobatto_nodes )

Definition at line 15 of file poly.c.

Referenced by findpts_el_setup_2(), findpts_el_setup_3(), gll_lag_setup(), lobatto_quad(), main(), rand_elt_2(), and rand_elt_3().

#define lobatto_quad   PREFIXED_NAME(lobatto_quad )

Definition at line 16 of file poly.c.

Referenced by lob_bnd_setup(), and main().

#define PI   3.1415926535897932384626433832795028841971693993751058209749445923

Definition at line 75 of file poly.c.

Referenced by gauss_nodes(), and lobatto_nodes_aux().

Typedef Documentation

typedef void lagrange_fun(double *restrict p, double *restrict data, unsigned n, int d, double x)

Definition at line 20 of file poly.c.

Function Documentation

void gauss_nodes	(	double *restrict	z,
		int	n
	)

Definition at line 139 of file poly.c.

References EPS, i, legendre(), legendre_d1(), n, PI, and x.

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void gauss_quad	(	double *restrict	z,
		double *restrict	w,
		int	n
	)

Definition at line 195 of file poly.c.

References gauss_nodes, i, legendre(), and n.

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lagrange_fun* gll_lag_setup	(	double *restrict	data,
		int	n
	)

Definition at line 222 of file poly.c.

References GLL_LAG_FIX_MAX, gll_lag_table, lagrange_coef(), lagrange_eval(), lobatto_nodes, n, p, tmalloc, and z.

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unsigned gll_lag_size

(

unsigned

n

)

Definition at line 217 of file poly.c.

References GLL_LAG_FIX_MAX, and n.

static void lagrange_coef ( double *restrict  p, double *  data, double *  w, const double *  z, unsigned  n, lagrange_fun *  lag_eval  )

static

Definition at line 50 of file poly.c.

References i, and n.

Referenced by gll_lag_setup(), and lagrange_setup().

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static void lagrange_eval ( double *restrict  p, double *restrict  data, unsigned  n, int  der, double  x  )

static

Definition at line 25 of file poly.c.

References i, n, restrict, and z.

Referenced by gll_lag_setup(), and lagrange_setup().

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lagrange_fun* lagrange_setup	(	double *restrict	data,
		const double *restrict	z,
		unsigned	n
	)

Definition at line 64 of file poly.c.

References lagrange_coef(), lagrange_eval(), p, restrict, and tmalloc.

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unsigned lagrange_size

(

unsigned

n

)

Definition at line 59 of file poly.c.

References n.

static double legendre ( int  n, double  x  )

static

Definition at line 94 of file poly.c.

References i, p, and x.

Referenced by gauss_nodes(), gauss_quad(), and lobatto_quad().

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static double legendre_d1 ( int  n, double  x  )

static

Definition at line 107 of file poly.c.

References i, p, and x.

Referenced by gauss_nodes(), and lobatto_nodes_aux().

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static double legendre_d2 ( int  n, double  x  )

static

Definition at line 120 of file poly.c.

References i, p, and x.

Referenced by lobatto_nodes_aux().

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void lobatto_nodes	(	double *restrict	z,
		int	n
	)

Definition at line 189 of file poly.c.

References GLL_LAG_FIX_MAX, lobatto_nodes_fix(), and lobatto_nodes_n().

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static void lobatto_nodes_aux ( double *restrict  z, int  n  )

static

Definition at line 155 of file poly.c.

References EPS, i, legendre_d1(), legendre_d2(), n, np, PI, and x.

Referenced by lobatto_nodes_n().

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static void lobatto_nodes_fix ( double *restrict  z, int  n  )

static

Definition at line 177 of file poly.c.

References gllz_table, i, and restrict.

Referenced by lobatto_nodes().

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static void lobatto_nodes_n ( double *restrict  z, int  n  )

static

Definition at line 171 of file poly.c.

References lobatto_nodes_aux().

Referenced by lobatto_nodes().

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void lobatto_quad	(	double *restrict	z,
		double *restrict	w,
		int	n
	)

Definition at line 206 of file poly.c.

References i, legendre(), lobatto_nodes, and n.

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