/* gauss-quad.c
 *
 * Rouben Rostamian <rostamian@umbc.edu>
 * 2011-05-01
 * 2013-02-02:
 *  changed the prototype from gauss_qdat(int *d, int *n) to gauss_qdat(int *n)
 *  removed the typedef on static Gauss_qdat
 *  renamed the quadrature coordinates from xi to x
*/

#include <stdio.h>
#include <stdlib.h>
#include "gauss-quad.h"

/* begin machine-generated code */
static struct Gauss_qdat quaddata1[] = { /* n = 1 */
	{    0.00000000000000000000,    2.00000000000000000000},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata2[] = { /* n = 2 */
	{   -0.57735026918962576451,    1.00000000000000000000},
	{    0.57735026918962576451,    1.00000000000000000000},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata3[] = { /* n = 3 */
	{   -0.77459666924148337704,    0.55555555555555555556},
	{    0.00000000000000000000,    0.88888888888888888889},
	{    0.77459666924148337704,    0.55555555555555555556},
	{                       0.0,                      -1.0},
};

/**A:quaddata4**/
static struct Gauss_qdat quaddata4[] = { /* n = 4 */
	{   -0.86113631159405257522,    0.34785484513745385737},
	{   -0.33998104358485626480,    0.65214515486254614263},
	{    0.33998104358485626480,    0.65214515486254614263},
	{    0.86113631159405257522,    0.34785484513745385737},
	{                       0.0,                      -1.0},
};
/**B:quaddata4**/

static struct Gauss_qdat quaddata5[] = { /* n = 5 */
	{   -0.90617984593866399280,    0.23692688505618908751},
	{   -0.53846931010568309104,    0.47862867049936646804},
	{    0.00000000000000000000,    0.56888888888888888889},
	{    0.53846931010568309104,    0.47862867049936646804},
	{    0.90617984593866399280,    0.23692688505618908751},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata6[] = { /* n = 6 */
	{   -0.93246951420315202781,    0.17132449237917034504},
	{   -0.66120938646626451366,    0.36076157304813860757},
	{   -0.23861918608319690863,    0.46791393457269104739},
	{    0.23861918608319690863,    0.46791393457269104739},
	{    0.66120938646626451366,    0.36076157304813860757},
	{    0.93246951420315202781,    0.17132449237917034504},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata7[] = { /* n = 7 */
	{   -0.94910791234275852453,    0.12948496616886969327},
	{   -0.74153118559939443986,    0.27970539148927666790},
	{   -0.40584515137739716691,    0.38183005050511894495},
	{    0.00000000000000000000,    0.41795918367346938776},
	{    0.40584515137739716691,    0.38183005050511894495},
	{    0.74153118559939443986,    0.27970539148927666790},
	{    0.94910791234275852453,    0.12948496616886969327},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata8[] = { /* n = 8 */
	{   -0.96028985649753623168,    0.10122853629037625915},
	{   -0.79666647741362673959,    0.22238103445337447054},
	{   -0.52553240991632898582,    0.31370664587788728734},
	{   -0.18343464249564980494,    0.36268378337836198297},
	{    0.18343464249564980494,    0.36268378337836198297},
	{    0.52553240991632898582,    0.31370664587788728734},
	{    0.79666647741362673959,    0.22238103445337447054},
	{    0.96028985649753623168,    0.10122853629037625915},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata9[] = { /* n = 9 */
	{   -0.96816023950762608984,    0.08127438836157441197},
	{   -0.83603110732663579430,    0.18064816069485740406},
	{   -0.61337143270059039731,    0.26061069640293546232},
	{   -0.32425342340380892904,    0.31234707704000284007},
	{    0.00000000000000000000,    0.33023935500125976316},
	{    0.32425342340380892904,    0.31234707704000284007},
	{    0.61337143270059039731,    0.26061069640293546232},
	{    0.83603110732663579430,    0.18064816069485740406},
	{    0.96816023950762608984,    0.08127438836157441197},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata10[] = { /* n = 10 */
	{   -0.97390652851717172008,    0.06667134430868813759},
	{   -0.86506336668898451073,    0.14945134915058059315},
	{   -0.67940956829902440623,    0.21908636251598204400},
	{   -0.43339539412924719080,    0.26926671930999635509},
	{   -0.14887433898163121088,    0.29552422471475287017},
	{    0.14887433898163121088,    0.29552422471475287017},
	{    0.43339539412924719080,    0.26926671930999635509},
	{    0.67940956829902440623,    0.21908636251598204400},
	{    0.86506336668898451073,    0.14945134915058059315},
	{    0.97390652851717172008,    0.06667134430868813759},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata11[] = { /* n = 11 */
	{   -0.97822865814605699280,    0.05566856711617366648},
	{   -0.88706259976809529908,    0.12558036946490462463},
	{   -0.73015200557404932409,    0.18629021092773425143},
	{   -0.51909612920681181593,    0.23319376459199047992},
	{   -0.26954315595234497233,    0.26280454451024666218},
	{    0.00000000000000000000,    0.27292508677790063071},
	{    0.26954315595234497233,    0.26280454451024666218},
	{    0.51909612920681181593,    0.23319376459199047992},
	{    0.73015200557404932409,    0.18629021092773425143},
	{    0.88706259976809529908,    0.12558036946490462463},
	{    0.97822865814605699280,    0.05566856711617366648},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata12[] = { /* n = 12 */
	{   -0.98156063424671925069,    0.04717533638651182719},
	{   -0.90411725637047485668,    0.10693932599531843096},
	{   -0.76990267419430468704,    0.16007832854334622633},
	{   -0.58731795428661744730,    0.20316742672306592175},
	{   -0.36783149899818019375,    0.23349253653835480876},
	{   -0.12523340851146891547,    0.24914704581340278500},
	{    0.12523340851146891547,    0.24914704581340278500},
	{    0.36783149899818019375,    0.23349253653835480876},
	{    0.58731795428661744730,    0.20316742672306592175},
	{    0.76990267419430468704,    0.16007832854334622633},
	{    0.90411725637047485668,    0.10693932599531843096},
	{    0.98156063424671925069,    0.04717533638651182719},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata13[] = { /* n = 13 */
	{   -0.98418305471858814947,    0.04048400476531587952},
	{   -0.91759839922297796521,    0.09212149983772844791},
	{   -0.80157809073330991279,    0.13887351021978723846},
	{   -0.64234933944034022064,    0.17814598076194573828},
	{   -0.44849275103644685288,    0.20781604753688850231},
	{   -0.23045831595513479407,    0.22628318026289723841},
	{    0.00000000000000000000,    0.23255155323087391019},
	{    0.23045831595513479407,    0.22628318026289723841},
	{    0.44849275103644685288,    0.20781604753688850231},
	{    0.64234933944034022064,    0.17814598076194573828},
	{    0.80157809073330991279,    0.13887351021978723846},
	{    0.91759839922297796521,    0.09212149983772844791},
	{    0.98418305471858814947,    0.04048400476531587952},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata14[] = { /* n = 14 */
	{   -0.98628380869681233884,    0.03511946033175186303},
	{   -0.92843488366357351734,    0.08015808715976020981},
	{   -0.82720131506976499319,    0.12151857068790318469},
	{   -0.68729290481168547015,    0.15720316715819353457},
	{   -0.51524863635815409197,    0.18553839747793781374},
	{   -0.31911236892788976044,    0.20519846372129560397},
	{   -0.10805494870734366207,    0.21526385346315779020},
	{    0.10805494870734366207,    0.21526385346315779020},
	{    0.31911236892788976044,    0.20519846372129560397},
	{    0.51524863635815409197,    0.18553839747793781374},
	{    0.68729290481168547015,    0.15720316715819353457},
	{    0.82720131506976499319,    0.12151857068790318469},
	{    0.92843488366357351734,    0.08015808715976020981},
	{    0.98628380869681233884,    0.03511946033175186303},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat quaddata15[] = { /* n = 15 */
	{   -0.98799251802048542849,    0.03075324199611726835},
	{   -0.93727339240070590431,    0.07036604748810812471},
	{   -0.84820658341042721620,    0.10715922046717193501},
	{   -0.72441773136017004742,    0.13957067792615431445},
	{   -0.57097217260853884754,    0.16626920581699393355},
	{   -0.39415134707756336990,    0.18616100001556221103},
	{   -0.20119409399743452230,    0.19843148532711157646},
	{    0.00000000000000000000,    0.20257824192556127288},
	{    0.20119409399743452230,    0.19843148532711157646},
	{    0.39415134707756336990,    0.18616100001556221103},
	{    0.57097217260853884754,    0.16626920581699393355},
	{    0.72441773136017004742,    0.13957067792615431445},
	{    0.84820658341042721620,    0.10715922046717193501},
	{    0.93727339240070590431,    0.07036604748810812471},
	{    0.98799251802048542849,    0.03075324199611726835},
	{                       0.0,                      -1.0},
};

static struct Gauss_qdat *QuadTables[] = {
	NULL,			/* no 0-point quadrature */
	quaddata1,
	quaddata2,
	quaddata3,
	quaddata4,
	quaddata5,
	quaddata6,
	quaddata7,
	quaddata8,
	quaddata9,
	quaddata10,
	quaddata11,
	quaddata12,
	quaddata13,
	quaddata14,
	quaddata15,
};

/* end machine-generated code */


/* Receives a request for an n-point quadrature table.
 * Changes n if necessary to bring it into the range
 * of the available tables.
 *
 * A polynomial of degree 2n-1 will be integrated exactly, within
 * floating point roundoff errors, with this quadrature table.
*/
struct Gauss_qdat *gauss_qdat(int *n)
{
	int ntables = (sizeof QuadTables / sizeof QuadTables[0]) - 1;
	if (*n < 1)
		*n = 1;
	else if (*n > ntables)
		*n = ntables;
	return QuadTables[*n];
}