#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h>
#include <float.h>
#include "c99.h"
#include "types.h"
#include "name.h"
#include "fail.h"
#include "mem.h"
#include "poly.h"
#include "rdtsc.h"

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Classes
struct	ref_lagrange_data

Macros
#define	N 32

#define	REPEAT 1000000

#define	USE_HW_COUNTER 1

#define	EPS (128*DBL_EPSILON)

#define	cosr cos

#define	fabsr fabs

#define	PI 3.1415926535897932384626433832795028841971693993751058209749445923

#define	TIME(t, repeat, what)

Typedefs
typedef double	real

Functions
static int	not_same (double a, double b)

static real	legendre (int n, real x)

static real	legendre_d1 (int n, real x)

static real	legendre_d2 (int n, real x)

static void	ref_gauss_nodes (real *z, int n)

static void	lobatto_nodes_aux (real *z, int n)

static void	ref_lobatto_nodes (real *z, int n)

static void	ref_gauss_weights (const real z, real w, int n)

static void	ref_lobatto_weights (const real z, real w, int n)

static void	ref_lagrange_0 (ref_lagrange_data *p, real x)

static void	ref_lagrange_1 (ref_lagrange_data *p, real x)

static void	ref_lagrange_2 (ref_lagrange_data *p, real x)

static void	ref_lagrange_2u (ref_lagrange_data *p)

static void	ref_lagrange_setup (ref_lagrange_data p, const real z, unsigned n)

void	ref_lagrange_free (ref_lagrange_data *p)

int	main ()

Macro Definition Documentation

#define cosr cos

Definition at line 33 of file poly_test2.c.

Referenced by lobatto_nodes_aux(), and ref_gauss_nodes().

#define EPS (128*DBL_EPSILON)

Definition at line 24 of file poly_test2.c.

Referenced by lobatto_nodes_aux(), not_same(), and ref_gauss_nodes().

#define fabsr fabs

Definition at line 34 of file poly_test2.c.

Referenced by lobatto_nodes_aux(), and ref_gauss_nodes().

#define N 32

Definition at line 14 of file poly_test2.c.

Referenced by main().

#define PI 3.1415926535897932384626433832795028841971693993751058209749445923

Definition at line 35 of file poly_test2.c.

Referenced by lobatto_nodes_aux(), and ref_gauss_nodes().

#define REPEAT 1000000

Definition at line 15 of file poly_test2.c.

Referenced by main().

#define TIME	(	t,
		repeat,
		what
	)

Value:

do { \
      for(r=repeat;r;--r) { what; } \
      tic = getticks(); \
      for(r=repeat;r;--r) { what; } \
      toc = getticks(); \
      t = toc-tic; \
    } while(0)

Referenced by main().

#define USE_HW_COUNTER 1

Definition at line 17 of file poly_test2.c.

Typedef Documentation

typedef double real

Definition at line 32 of file poly_test2.c.

Function Documentation

static real legendre	(	int	n,
		real	x
	)

static

Definition at line 38 of file poly_test2.c.

References i, n, p, and x.

Referenced by ref_gauss_nodes(), ref_gauss_weights(), and ref_lobatto_weights().

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static real legendre_d1	(	int	n,
		real	x
	)

static

Definition at line 51 of file poly_test2.c.

References i, n, p, and x.

Referenced by lobatto_nodes_aux(), and ref_gauss_nodes().

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static real legendre_d2	(	int	n,
		real	x
	)

static

Definition at line 64 of file poly_test2.c.

References i, n, p, and x.

Referenced by lobatto_nodes_aux().

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static void lobatto_nodes_aux	(	real *	z,
		int	n
	)

static

Definition at line 93 of file poly_test2.c.

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

Referenced by ref_lobatto_nodes().

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int main ( )

Definition at line 229 of file poly_test2.c.

References ref_lagrange_data::D, ref_lagrange_data::D2, gauss_nodes, gauss_quad, gll_lag_setup, gll_lag_size, i, ref_lagrange_data::J, lagrange_setup, lagrange_size, lobatto_quad, N, n, not_same(), p, ref_gauss_nodes(), ref_gauss_weights(), ref_lagrange_0(), ref_lagrange_1(), ref_lagrange_2u(), ref_lagrange_free(), ref_lagrange_setup(), ref_lobatto_nodes(), ref_lobatto_weights(), REPEAT, TIME, tmalloc, uint, x, z, and zr.

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static int not_same	(	double	a,
		double	b
	)

static

Definition at line 26 of file poly_test2.c.

References EPS.

Referenced by main().

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static void ref_gauss_nodes	(	real *	z,
		int	n
	)

static

Definition at line 77 of file poly_test2.c.

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

Referenced by main().

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static void ref_gauss_weights	(	const real *	z,
		real *	w,
		int	n
	)

static

Definition at line 115 of file poly_test2.c.

References i, legendre(), and n.

Referenced by main().

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static void ref_lagrange_0	(	ref_lagrange_data *	p,
		real	x
	)

static

Definition at line 144 of file poly_test2.c.

References ref_lagrange_data::d, i, ref_lagrange_data::J, n, ref_lagrange_data::n, ref_lagrange_data::u0, ref_lagrange_data::v0, ref_lagrange_data::w, and ref_lagrange_data::z.

Referenced by main().

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static void ref_lagrange_1	(	ref_lagrange_data *	p,
		real	x
	)

static

Definition at line 153 of file poly_test2.c.

References ref_lagrange_data::D, ref_lagrange_data::d, i, ref_lagrange_data::J, n, ref_lagrange_data::n, ref_lagrange_data::u0, ref_lagrange_data::u1, ref_lagrange_data::v0, ref_lagrange_data::v1, ref_lagrange_data::w, and ref_lagrange_data::z.

Referenced by main().

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static void ref_lagrange_2	(	ref_lagrange_data *	p,
		real	x
	)

static

Definition at line 168 of file poly_test2.c.

References ref_lagrange_data::D, ref_lagrange_data::d, ref_lagrange_data::D2, i, ref_lagrange_data::J, n, ref_lagrange_data::n, ref_lagrange_data::u0, ref_lagrange_data::u1, ref_lagrange_data::u2, ref_lagrange_data::v0, ref_lagrange_data::v1, ref_lagrange_data::v2, ref_lagrange_data::w, and ref_lagrange_data::z.

Referenced by ref_lagrange_setup().

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static void ref_lagrange_2u ( ref_lagrange_data * p )

static

Definition at line 186 of file poly_test2.c.

References ref_lagrange_data::d, ref_lagrange_data::D2, i, n, ref_lagrange_data::n, ref_lagrange_data::u0, ref_lagrange_data::u1, ref_lagrange_data::u2, ref_lagrange_data::v0, ref_lagrange_data::v1, ref_lagrange_data::v2, and ref_lagrange_data::w.

Referenced by main().

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void ref_lagrange_free ( ref_lagrange_data * p )

Definition at line 222 of file poly_test2.c.

References ref_lagrange_data::w.

Referenced by main().

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static void ref_lagrange_setup	(	ref_lagrange_data *	p,
		const real *	z,
		unsigned	n
	)

static

Definition at line 197 of file poly_test2.c.

References ref_lagrange_data::D, ref_lagrange_data::d, ref_lagrange_data::D2, ref_lagrange_data::D2_z0, ref_lagrange_data::D2_zn, ref_lagrange_data::D_z0, ref_lagrange_data::D_zn, i, ref_lagrange_data::J, ref_lagrange_data::J_z0, ref_lagrange_data::J_zn, n, ref_lagrange_data::n, ref_lagrange_2(), tmalloc, ref_lagrange_data::u0, ref_lagrange_data::u1, ref_lagrange_data::u2, ref_lagrange_data::v0, ref_lagrange_data::v1, ref_lagrange_data::v2, ref_lagrange_data::w, z, and ref_lagrange_data::z.

Referenced by main().

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static void ref_lobatto_nodes	(	real *	z,
		int	n
	)

static

Definition at line 109 of file poly_test2.c.

References lobatto_nodes_aux().

Referenced by main().

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static void ref_lobatto_weights	(	const real *	z,
		real *	w,
		int	n
	)

static

Definition at line 125 of file poly_test2.c.

References i, legendre(), and n.

Referenced by main().

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Classes

Macros

Typedefs

Functions

Macro Definition Documentation

Typedef Documentation

Function Documentation